Appt Itudesgddfhghjh

8/9/2019 Appt Itudesgddfhghjh

1/71

1.

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate

in the remaining 40 overs to reach the target of 22 runs!

A. ".2# B. ".#

C. ".$# D. $

Answer & Explanation

Answer:%&tion A

Explanation:

'e(uired run rate )22 * +3.2 10-

)2#0

) ".2#40 40

View AnswerWorkspaceReportDiscuss in Forum

2.

family consists of two grand&arents, two &arents and three grandchildren. /he average age

of the grand&arents is "$ years, that of the &arents is 3# years and that of the grandchildren is

" years. What is the average age of the family!

A. 24

years$

B. 31#

years$

C. 32

1

years$ D. one of these


Answer:%&tion B

Explanation:

'e(uired average

)222

$

) 31#

years.$

)"$ 2 3# 2 " 3

2 2 3

)134 $0 1

$
http://www.indiabix.com/aptitude/average/discussion-239http://www.indiabix.com/aptitude/average/discussion-239http://www.indiabix.com/aptitude/average/discussion-239


2/71


3.

grocer has a sale of 's. "43#, 's. "2$, 's. "##, 's. $230 and 's. "#"2 for # consecutive

months. ow much sale must he have in the sith month so that he gets an average sale of

's. "#00!

A. 's. 41 B. 's. #1

C. 's. "001 D. 's. "1


Answer:%&tion A

Explanation:

/otal sale for # months ) 's. +"43# "2$ "## $230 "#"2- ) 's. 3400.

'e(uired sale ) 's. +"#00 "- * 3400 5

) 's. +3000 * 3400-

) 's. 41.


4.

/he average of 20 numbers is 6ero. %f them, at the most, how many may be greater than

6ero!

A. 0 B. 1

C. 10 D. 1


Answer:%&tion D

Explanation:

verage of 20 numbers ) 0.

7um of 20 numbers +0 20- ) 0.

It is (uite &ossible that 1 of these numbers may be &ositive and if their sum is athen 20th

number is +*a-.

http://www.indiabix.com/aptitude/average/discussion-233http://www.indiabix.com/aptitude/average/discussion-233http://www.indiabix.com/aptitude/average/discussion-238http://www.indiabix.com/aptitude/average/discussion-238http://www.indiabix.com/aptitude/average/discussion-232http://www.indiabix.com/aptitude/average/discussion-232http://www.indiabix.com/aptitude/average/discussion-233http://www.indiabix.com/aptitude/average/discussion-238http://www.indiabix.com/aptitude/average/discussion-232


3/71

#.

/he average weight of &erson8s increases by 2.# kg when a new &erson comes in &lace of

one of them weighing "# kg. What might be the weight of the new &erson!

A. $" kg B. $".# kg

C. # kg D. 9ata inade(uate

E. one of these


Answer:%&tion C

Explanation:

/otal weight increased ) + 2.#- kg ) 20 kg.

Weight of new &erson ) +"# 20- kg ) # kg.


".

/he ca&tain of a cricket team of 11 members is 2" years old and the wicket kee&er is 3 years

older. If the ages of these two are ecluded, the average age of the remaining &layers is one

year less than the average age of the whole team. What is the average age of the team!

A. 23 years B. 24 years

C. 2# years D. one of these


Answer:%&tion A

Explanation:

:et the average age of the whole team by xyears.

11x* +2" 2- ) +x*1-

11x* x) 4"

2x) 4"

x) 23.

7o, average age of the team is 23 years.

http://www.indiabix.com/aptitude/average/discussion-244http://www.indiabix.com/aptitude/average/discussion-244http://www.indiabix.com/aptitude/average/discussion-243http://www.indiabix.com/aptitude/average/discussion-243http://www.indiabix.com/aptitude/average/discussion-244http://www.indiabix.com/aptitude/average/discussion-243


4/71

$.

/he average monthly income of ; and < is 's. #0#0. /he average monthly income of < and '

is 's. "2#0 and the average monthly income of ; and ' is 's. #200. /he monthly income of ;

is=

A. 3#00 B. 4000

C. 40#0 D. #000


Answer:%&tion B

Explanation:

:et ;, < and ' re&resent their res&ective monthly incomes. /hen, we have=

; < ) +#0#0 2- ) 10100 .... +i-

< ' ) +"2#0 2- ) 12#00 .... +ii-

; ' ) +#200 2- ) 10400 .... +iii-

dding +i-, +ii- and +iii-, we get= 2+; < '- ) 33000 or ; < ' ) 1"#00 .... +iv-

7ubtracting +ii- from +iv-, we get ; ) 4000.

;8s monthly income ) 's. 4000.


.

/he average age of husband, wife and their child 3 years ago was 2$ years and that of wife

and the child # years ago was 20 years. /he &resent age of the husband is=

A. 3# years B. 40 years

C. #0 years D. one of these


Answer:%&tion B

Explanation:

7um of the &resent ages of husband, wife and child ) +2$ 3 3 3- years ) 0 years.

7um of the &resent ages of wife and child ) +20 2 # 2- years ) #0 years.

usband8s &resent age ) +0 * #0- years ) 40 years.


5/71


.

car owner buys &etrol at 's.$.#0, 's. and 's. .#0 &er litre for three successive years.

What a&&roimately is the average cost &er litre of &etrol if he s&ends 's. 4000 each year!

A. 's. $. B. 's.

C. 's. .#0 D. 's.


Answer:%&tion A

Explanation:

/otal (uantity of &etrolconsumed in 3 years

)$"$00

litres#1

/otal amount s&ent ) 's. +3 4000- ) 's. 12000.

verage

cost ) 's.

12000 #1 ) 's. "120 ) 's. $.

$"$00 $"$


10.

In run8s o&inion, his weight is greater than "# kg but less than $2 kg. is brother doest not

agree with run and he thinks that run8s weight is greater than "0 kg but less than $0 kg.

is mother8s view is that his weight cannot be greater than " kg. If all are them are correct in

their estimation, what is the average of different &robable weights of run!

A. "$ kg. B. " kg.

C. " kg. D. 9ata inade(uate

E. one of these

) 40002

1

2

litres

1# 1$

)4000

4000

4000

litres$.#0 .#0


6/71


Answer:%&tion A

Explanation:

:et run8s weight by > kg.

ccording to run, "# ? > ? $2

ccording to run8s brother, "0 ? > ? $0.

ccording to run8s mother, > ?) "

/he values satisfying all the above conditions are "", "$ and ".

'e(uired average )

"" "$ "

)

201

) "$ kg.3 3


11.

/he average weight of , @ and A is 4# kg. If the average weight of and @ be 40 kg and that

of @ and A be 43 kg, then the weight of @ is=

A. 1$ kg B. 20 kg

C. 2" kg D. 31 kg


Answer:%&tion D

Explanation:

:et , @, A re&resent their res&ective weights. /hen, we have=

@ A ) +4# 3- ) 13# .... +i-

@ ) +40 2- ) 0 .... +ii-

@ A ) +43 2- ) " ....+iii-

dding +ii- and +iii-, we get= 2@ A ) 1"" .... +iv-

7ubtracting +i- from +iv-, we get = @ ) 31.

@8s weight ) 31 kg.


12.

/he average weight of 1" boys in a class is #0.2# kg and that of the remaining boys is 4#.1#


7/71

kg. Bind the average weights of all the boys in the class.

A. 4$.## kg B. 4 kg

C. 4.## kg D. 4.2# kg


Answer:%&tion C

Explanation:

'e(uired average

)11"#.20

24

) 4.##


13.

library has an average of #10 visitors on 7undays and 240 on other days. /he average

number of visitors &er day in a month of 30 days beginning with a 7unday is=

A. 2#0 B. 2$"

C. 20 D. 2#


Answer:%&tion D

Explanation:

7ince the month begins with a 7unday, to there will be five 7undays in the month.

'e(uired average

) ##0

)#0.2# 1" 4#.1#

1"

)04 3"1.20

24

)#10 # 240 2#

30


8/71

30

) 2#View AnswerWorkspaceReportDiscuss in Forum

14.

If the average marks of three batches of ##, "0 and 4# students res&ectively is #0, ##, "0,

then the average marks of all the students is=

A. #3.33 B. #4."

C. ## D. one of these


Answer:%&tion B

Explanation:

'e(uired average

)$#0

1"0

) #4."View AnswerWorkspaceReportDiscuss in Forum

1#.

&u&il8s marks were wrongly entered as 3 instead of "3. 9ue to that the average marks for

the class got increased by half +1C2-. /he number of &u&ils in the class is=

A. 10 B. 20

C. 40 D. $3


Answer:%&tion C

Explanation:

) ## #0 "0 ## 4# "0

## "0 4#

)2$#0 3300 2$00

1"0


9/71

:et there be x&u&ils in the class.

/otal increase in marks ) x1

)x

2 2

x ) +3 * "3- x ) 20 x) 40.2 2


.

batsman scored 110 runs which included 3 boundaries and sies. What &ercent of his total

score did he make by running between the wickets!

A. 4#D B. 4##

D11

C. #4

"

D11 D. ##D


Answer:%&tion B

Explanation:

umber of runs made by running ) 110 * +3 4 "-

) 110 * +"0-

) #0.

'e(uired &ercentage )#0

100D ) 4#

#D

110 11


2.

/wo students a&&eared at an eamination. %ne of them secured marks more than the other

and his marks was #"D of the sum of their marks. /he marks obtained by them are=

A. 3, 30 B. 41, 32

C. 42, 33 D. 43, 34


Answer:%&tion C

Explanation:

:et their marks be +x - and x.

/hen, x ) #" +x x-
http://www.indiabix.com/aptitude/average/discussion-240http://www.indiabix.com/aptitude/average/discussion-240http://www.indiabix.com/aptitude/percentage/discussion-316http://www.indiabix.com/aptitude/percentage/discussion-316http://www.indiabix.com/aptitude/average/discussion-240http://www.indiabix.com/aptitude/percentage/discussion-316


10/71

100

2#+x - ) 14+2x -

3x)

x) 33

7o, their marks are 42 and 33.


3.

fruit seller had some a&&les. e sells 40D a&&les and still has 420 a&&les. %riginally, he

had=

A. # a&&les B. "00 a&&les

C. "$2 a&&les D. $00 a&&les


Answer:%&tion D

Explanation:

7u&&ose originally he had xa&&les.

/hen, +100 * 40-D of x) 420.

"0 x) 420

100

x)420 100

) $00."0


4.

What &ercentage of numbers from 1 to $0 have 1 or in the unit8s digit!

A. 1 B. 14

C. 20 D. 21


Answer:%&tion C

Explanation:

Alearly, the numbers which have 1 or in the unit8s digit, have s(uares that end in the digit 1.
http://www.indiabix.com/aptitude/percentage/discussion-321http://www.indiabix.com/aptitude/percentage/discussion-321http://www.indiabix.com/aptitude/percentage/discussion-317http://www.indiabix.com/aptitude/percentage/discussion-317http://www.indiabix.com/aptitude/percentage/discussion-321http://www.indiabix.com/aptitude/percentage/discussion-317


11/71

7uch numbers from 1 to $0 are 1, , 11, 1, 21, 2, 31, 3, 41, 4, #1, #, "1, ".

umber of such number )14

'e(uired &ercentage ) 14 100D ) 20D.

$0


#.

If ) xD of yand @ ) yD of x, then which of the following is true!

A. is smaller than @. B. is greater than @

C.

'elationshi& between and @ cannot

be determined. D.

If xis smaller than y, then is

greater than @.

E. one of these


Answer:%&tion E

Explanation:

xD of y)x

y )y

x ) yD of x

100 100

) @.


".

If 20D of a) b, then bD of 20 is the same as=

A. 4D of a B. #D of a

C. 20D of a D. one of these


Answer:%&tion A

Explanation:

20D of a) b20

a) b.100

bD of 20 )b

20 )20

a1

20 )4

a) 4D of a.100 100 100 100

http://www.indiabix.com/aptitude/percentage/discussion-310http://www.indiabix.com/aptitude/percentage/discussion-310http://www.indiabix.com/aptitude/percentage/discussion-323http://www.indiabix.com/aptitude/percentage/discussion-323http://www.indiabix.com/aptitude/percentage/discussion-322http://www.indiabix.com/aptitude/percentage/discussion-322http://www.indiabix.com/aptitude/percentage/discussion-310http://www.indiabix.com/aptitude/percentage/discussion-323http://www.indiabix.com/aptitude/percentage/discussion-322


12/71

$.

In a certain school, 20D of students are below years of age. /he number of students above

years of age is of the number of students of years of age which is 4. What is the total

number of students in the school!

A. $2 B. 0

C. 120 D. 1#0

E. 100


Answer:%&tion E

Explanation:

:et the number of students be x. /hen,

umber of students above years of age ) +100 * 20-D of x) 0D of x.

0D of x) 4 2

of 43

0x) 0

100

x) 100.


.

/wo numbers and @ are such that the sum of #D of and 4D of @ is two*third of the sum of

"D of and D of @. Bind the ratio of = @.

A. 2 = 3 B. 1 = 1

C. 3 = 4 D. 4 = 3


Answer:%&tion D

Explanation:

#D of 4D of @ )2

+"D of D of @-3

#

4@ )

2 "

@

100 100 3 100 1001 1 @ ) 1 4 @
http://www.indiabix.com/aptitude/percentage/discussion-320http://www.indiabix.com/aptitude/percentage/discussion-320http://www.indiabix.com/aptitude/percentage/discussion-320


13/71

20 2# 2# $#

1*

1

)

4*

1

@20 2# $# 2#

1 )

1@

100 $#

) 100 ) 4 .@ $# 3

'e(uired ratio ) 4 = 3


. student multi&lied a number by

3instead of

#.

# 3

What is the &ercentage error in the calculation!

A. 34D B. 44D

C. #4D D. "4D


Answer:%&tion D

Explanation:

:et the number be x.

/hen, error )#

x*3

x)1"

x.3 # 1#

ErrorD )1"x

3

100D ) "4D.

1# #x


10.

In an election between two candidates, one got ##D of the total valid votes, 20D of the votes

were invalid. If the total number of votes was $#00, the number of valid votes that the othercandidate got, was=

A. 2$00 B. 200

C. 3000 D. 3100


Answer:%&tion A

Explanation:


14/71

umber of valid votes ) 0D of $#00 ) "000.

Falid votes &olled by other candidate ) 4#D of "000

) 4# "000 ) 2$00.100


11.

/hree candidates contested an election and received 113", $"3" and 11"2 votes res&ectively.

What &ercentage of the total votes did the winning candidate get!

A. #$D B. "0D

C. "#D D. 0D


Answer:%&tion A

Explanation:

/otal number of votes &olled ) +113" $"3" 11"2- ) 20400.

'e(uired &ercentage )11"2

100D ) #$D.

20400


12.

/wo tailors > and G are &aid a total of 's. ##0 &er week by their em&loyer. If > is &aid 120

&ercent of the sum &aid to G, how much is G &aid &er week!

A. 's. 200 B. 's. 2#0

C. 's. 300 D. one of these


Answer:%&tion B

Explanation:

:et the sum &aid to G &er week be 's. z.

/hen, z 120D of z) ##0.

z120

z) ##0100

11z) ##0

#


15/71

z)##0 #

) 2#0.11


13.

Hauri went to the stationers and bought things worth 's. 2#, out of which 30 &aise went on

sales ta on taable &urchases. If the ta rate was "D, then what was the cost of the ta free

items!

A. 's. 1# B. 's. 1#.$0

C. 's. 1.$0 D. 's. 20


Answer:%&tion C

Explanation:

:et the amount taable &urchases be 's. x.

/hen, "D of x)30

100

x)30

100

) #.100 "

Aost of ta free items ) 's. 2# * +# 0.30-5 ) 's. 1.$0


14.

'aeev buys good worth 's. ""#0. e gets a rebate of "D on it. fter getting the rebate, he

&ays sales ta J 10D. Bind the amount he will have to &ay for the goods.

A. 's. "$".10 B. 's. ".20

C. 's. ""#4 D. 's. $000


Answer:%&tion A

Explanation:

'ebate ) "D of 's. ""#0 ) 's."

""#0 ) 's. 3.100

7ales ta ) 10D of 's. +""#0 * 3- ) 's.10

"2#1 ) 's. "2#.10100


16/71

Binal amount ) 's. +"2#1 "2#.10- ) 's. "$".10


1#.

/he &o&ulation of a town increased from 1,$#,000 to 2,"2,#00 in a decade. /he average

&ercent increase of &o&ulation &er year is=

A. 4.3$D B. #D

C. "D D. .$#D


Answer:%&tion B

Explanation:

Increase in 10 years ) +2"2#00 * 1$#000- ) $#00.

IncreaseD )$#00

100D ) #0D.

1$#000

'e(uired average )#0

D ) #D.10


Simple interest:

1. sum of money at sim&le interest amounts to 's. 1# in 3 years and to 's. #4 in 4 years.

/he sum is=

A. 's. "#0 B. 's. "0

C. 's. " D. 's. $00


Answer:%&tion C

Explanation:

7.I. for 1 year ) 's. +#4 * 1#- ) 's. 3.

7.I. for 3 years ) 's.+3 3- ) 's. 11$.

;rinci&al ) 's. +1# * 11$- ) 's. ".


2. Kr. /homas invested an amount of 's. 13,00 divided in two different schemes and @ at the
http://www.indiabix.com/aptitude/percentage/discussion-309http://www.indiabix.com/aptitude/percentage/discussion-309http://www.indiabix.com/aptitude/percentage/discussion-313http://www.indiabix.com/aptitude/percentage/discussion-313http://www.indiabix.com/aptitude/simple-interest/discussion-519http://www.indiabix.com/aptitude/simple-interest/discussion-519http://www.indiabix.com/aptitude/percentage/discussion-309http://www.indiabix.com/aptitude/percentage/discussion-313http://www.indiabix.com/aptitude/simple-interest/discussion-519


17/71

sim&le interest rate of 14D &.a. and 11D &.a. res&ectively. If the total amount of sim&le

interest earned in 2 years be 's. 3#0, what was the amount invested in 7cheme @!

A. 's. "400 B. 's. "#00

C. 's. $200 D. 's. $#00

E. one of these


Answer:%&tion A

Explanation:

:et the sum invested in 7cheme be 's. xand that in 7cheme @ be 's. +1300 * x-.

/hen,x 14 2

+1300 * x- 11 2

) 3#0

100 100

2x* 22x) 3#000 * +1300 22-

"x) 4#000

x) $#00.

7o, sum invested in 7cheme @ ) 's. +1300 * $#00- ) 's. "400.


3. sum fetched a total sim&le interest of 's. 401".2# at the rate of &.c.&.a. in # years. What

is the sum!

A. 's. 44"2.#0 B. 's. 032.#0

C. 's. 00 D. 's. 2#

E. one of these


Answer:%&tion D

Explanation:

;rinci&al

) 's.100 401".2#

#
http://www.indiabix.com/aptitude/simple-interest/discussion-524http://www.indiabix.com/aptitude/simple-interest/discussion-524http://www.indiabix.com/aptitude/simple-interest/discussion-524


18/71

) 's. 2#.


4. ow much time will it take for an amount of 's. 4#0 to yield 's. 1 as interest at 4.#D &er

annum of sim&le interest!

A. 3.# years B. 4 years

C. 4.# years D. # years


Answer:%&tion B

Explanation:

/ime )100 1

years

) 4 years.

4#0 4.#


#. 'eena took a loan of 's. 1200 with sim&le interest for as many years as the rate of interest. If

she &aid 's. 432 as interest at the end of the loan &eriod, what was the rate of interest!

A. 3." B. "

C. 1 D. Aannot be determined

E. one of these


Answer:%&tion B

Explanation:

:et rate ) 'D and time ) ' years.

/hen,1200 ' '

) 432

100

) 's.401"2#

4#
http://www.indiabix.com/aptitude/simple-interest/discussion-515http://www.indiabix.com/aptitude/simple-interest/discussion-515http://www.indiabix.com/aptitude/simple-interest/discussion-511http://www.indiabix.com/aptitude/simple-interest/discussion-511http://www.indiabix.com/aptitude/simple-interest/discussion-515http://www.indiabix.com/aptitude/simple-interest/discussion-511


19/71

12'2) 432

'2) 3"

' ) ".


". sum of 's. 12,#00 amounts to 's. 1#,#00 in 4 years at the rate of sim&le interest. What is

the rate of interest!

A. 3D B. 4D

C. #D D. "D

E. one of these


Answer:%&tion D

Explanation:

7.I. ) 's. +1##00 * 12#00- ) 's. 3000.

'ate )100 3000

D) "D

12#00 4


$. n automobile financier claims to be lending money at sim&le interest, but he includes the

interest every si months for calculating the &rinci&al. If he is charging an interest of 10D, the

effective rate of interest becomes=

A. 10D B. 10.2#D

C. 10.#D D. one of these

Answer & ExplanationAnswer:%&tion B

Explanation:

:et the sum be 's. 100. /hen,

7.I. for first " months ) 's.100 10 1

) 's. #

100 2

7.I. for last " months ) 's.10# 10 1

) 's. #.2#

100 2


20/71

7o, amount at the end of 1 year ) 's. +100 # #.2#- ) 's. 110.2#

Effective rate ) +110.2# * 100- ) 10.2#D


. lent 's. #000 to @ for 2 years and 's. 3000 to A for 4 years on sim&le interest at the same

rate of interest and received 's. 2200 in all from both of them as interest. /he rate of interest

&er annum is=

A. #D B. $D

C. $

1D

D. 10D


Answer:%&tion D

Explanation:

:et the rate be 'D &.a.

/hen,#000 ' 2

3000 ' 4

) 2200.

100 100

100' 120' ) 2200

' )2200

) 10.

220

'ate ) 10D.


. sum of 's. $2# is lent in the beginning of a year at a certain rate of interest. fter months,

a sum of 's. 3"2.#0 more is lent but at the rate twice the former. t the end of the year, 's.33.#0 is earned as interest from both the loans. What was the original rate of interest!

A. 3."D B. 4.#D

C. #D D. "D

E. one of these


Answer:%&tion E


21/71

Explanation:

:et the original rate be 'D. /hen, new rate ) +2'-D.

ote=

ere, original rate is for 1 year+s-L the new rate is for only 4 months i.e. year+s-.

$2# ' 1

3"2.#0 2' 1) 33.#0

100 100 3

+21$# $2#- ' ) 33.#0 100 3

+21$# $2#- ' ) 100#0

+200-' ) 100#0

' )100#0

) 3.4"

200

%riginal rate ) 3.4"D


10. man took loan from a bank at the rate of 12D &.a. sim&le interest. fter 3 years he had to

&ay 's. #400 interest only for the &eriod. /he &rinci&al amount borrowed by him was=

A. 's. 2000 B. 's. 10,000

C. 's. 1#,000 D. 's. 20,000


Answer:%&tion C

Explanation:

;rinci&al ) 's.

100 #400

) 's. 1#000.12 3


11. sum of money amounts to 's. 00 after # years and 's. 1200# after years at the same

rate of sim&le interest. /he rate of interest &er annum is=

A. #D B. D

C. 12D D. 1#D

Answer & ExplanationAnswer:%&tion C


22/71

Explanation:

7.I. for 3 years ) 's. +1200# * 00- ) 's. 220#.

7.I. for # years ) 's.220#

# ) 's. 3"$#

3

;rinci&al ) 's. +00 * 3"$#- ) 's. "12#.

ence, rate )100 3"$#

D) 12D

"12# #


12. What will be the ratio of sim&le interest earned by certain amount at the same rate of interest

for " years and that for years!

A. 1 = 3 B. 1 = 4

C. 2 = 3 D. 9ata inade(uate

E. one of these


Answer:%&tion C

Explanation:

:et the &rinci&al be ; and rate of interest be 'D.

'e(uired ratio )

; ' "

100)

";')

") 2 = 3.

; '

100

;'


13. certain amount earns sim&le interest of 's. 1$#0 after $ years. ad the interest been 2D

more, how much more interest would it have earned!

A. 's. 3# B. 's. 24#

C. 's. 3#0 D. Aannot be determined

E. one of theseAnswer & Explanation


23/71

Answer:%&tion D

Explanation:

We need to know the 7.I., &rinci&al and time to find the rate.

7ince the &rinci&al is not given, so data is inade(uate.


14. &erson borrows 's. #000 for 2 years at 4D &.a. sim&le interest. e immediately lends it to

another &erson at " &.a for 2 years. Bind his gain in the transaction &er year.

A. 's. 112.#0 B. 's. 12#

C. 's. 1#0 D. 's. 1"$.#0


Answer:%&tion A

Explanation:

Hain in 2 years ) 's. #000 2#

2

*#000 4 2

4 100 100

) 's. +"2# * 400-

) 's. 22#.

Hain in 1 year ) 's.22#

) 's. 112.#0

2


Compound interest:

1. bank offers #D com&ound interest calculated on half*yearly basis. customer de&osits 's.

1"00 each on 1stManuary and 1stMuly of a year. t the end of the year, the amount he would

have gained by way of interest is=

A. 's. 120 B. 's. 121

C. 's. 122 D. 's. 123


Answer:%&tion B

Explanation:


24/71

mount

) 's. 3321.

A.I. ) 's. +3321 * 3200- ) 's. 121


2. /he difference between sim&le and com&ound interests com&ounded annually on a certain sum

of money for 2 years at 4D &er annum is 'e. 1. /he sum +in 's.- is=

A. "2# B. "30

C. "40 D. "#0


Answer:%&tion A

Explanation:

:et the sum be 's. x. /hen,

) 's. 1"00 1

# 2

1"00 1

#

2 100 2 100

) 's. 1"00 41

41

1"00

41

40 40 40

) 's. 1"00 41 41

1

40 40

) 's.1"00 41 1

40 40
http://www.indiabix.com/aptitude/compound-interest/discussion-532http://www.indiabix.com/aptitude/compound-interest/discussion-532http://www.indiabix.com/aptitude/compound-interest/discussion-532


25/71

A.I. ) x 1

4 2

* x )

"$"

x * x )

#1

x.100 "2# "2#

7.I. )x 4 2

)2x

.

100 2##1x

*2x

) 1

"2# 2#

x) "2#.


3. /here is "0D increase in an amount in " years at sim&le interest. What will be the com&ound

interest of 's. 12,000 after 3 years at the same rate!

A. 's. 21"0 B. 's. 3120

C. 's. 3$2 D. 's. "240

E. one of these


Answer:%&tion C

Explanation:

:et ; ) 's. 100. /hen, 7.I. 's. "0 and / ) " years.

' )100 "0

) 10D &.a.

100 "

ow, ; ) 's. 12000. / ) 3 years and ' ) 10D &.a.

A.I.

) 's. 12000 1

10 3

* 1100

) 's. 12000 331

1000


26/71

) 3$2.


4.

What is the difference between the com&ound interests on 's. #000 for 1 years at 4D &erannum com&ounded yearly and half*yearly!

A. 's. 2.04 B. 's. 3.0"

C. 's. 4.0 D. 's. .30


Answer:%&tion A

Explanation:

A.I. when interest

com&ounded yearly

) 's. #304.

A.I. when interest is

com&ounded half*yearly

) 's. #000 1 4

1 4

100 100

) 's. #000 2"

#1

2# #0

) 's. #000 1 23

100

) 's. #000 #1

#1

#1

#0 #0 #0


27/71

) 's. #30".04

9ifference ) 's. +#30".04 * #304- ) 's. 2.04


#. /he com&ound interest on 's. 30,000 at $D &er annum is 's. 434$. /he &eriod +in years- is=

A. 2 B. 2

1

2

C. 3 D. 4

Answer & ExplanationAnswer:%&tion A

Explanation:

mount ) 's. +30000 434$- ) 's. 3434$.

:et the time be nyears.

/hen, 30000 1 $ n

) 3434$

100

10$ n)

3434$)

1144)

10$ 2

100 30000 10000 100

n) 2 years.


". What will be the com&ound interest on a sum of 's. 2#,000 after 3 years at the rate of 12

&.c.&.a.!

A. 's. 000.30 B. 's. $20

C. 's. 10123.20 D. 's. 1043.20

E. one of these


Answer:%&tion C

Explanation:

mount
http://www.indiabix.com/aptitude/compound-interest/discussion-533http://www.indiabix.com/aptitude/compound-interest/discussion-533http://www.indiabix.com/aptitude/compound-interest/discussion-536http://www.indiabix.com/aptitude/compound-interest/discussion-536http://www.indiabix.com/aptitude/compound-interest/discussion-533http://www.indiabix.com/aptitude/compound-interest/discussion-536


28/71

) 's. 3#123.20

A.I. ) 's. +3#123.20 * 2#000- ) 's. 10123.20


$. t what rate of com&ound interest &er annum will a sum of 's. 1200 become 's. 134.32 in 2

years!

A. "D B. ".#D

C. $D D. $.#D


Answer:%&tion A

Explanation:

:et the rate be 'D &.a.

/hen, 1200 1 ' 2

) 134.32

100

1

' 2

)

13432

)

1123"

100 120000 10000

1 ' 2

)10" 2

100 100

1 '

)10"

100 100

' ) "D


) 's. 2#000 1

12 3

100

) 's. 2#000 2

2

2

2# 2# 2#


29/71

. /he least number of com&lete years in which a sum of money &ut out at 20D com&ound

interest will be more than doubled is=

A. 3 B. 4

C. # D. "


Answer:%&tion B

Explanation:

; 1 20 n

N 2;" n

N 2.

100 #

ow,

"

"

"

"

N 2.# # # #

7o, n) 4 years.


. lbert invested an amount of 's. 000 in a fied de&osit scheme for 2 years at com&ound

interest rate # &.c.&.a. ow much amount will lbert get on maturity of the fied de&osit!

A. 's. "00 B. 's. "20

C. 's. 20 D. one of these


Answer:%&tion C

Explanation:

mount

) 's. 000 1

# 2

100

) 's. 000 21

21

20 20


30/71

) 's. 20.


10. /he effective annual rate of interest corres&onding to a nominal rate of "D &er annum &ayable

half*yearly is=

A. ".0"D B. ".0$D

C. ".0D D. ".0D


Answer:%&tion D

Explanation:

mount of 's. 100 for 1 year

when com&ounded half*yearly) 's. 100 1

3 2

) 's. 10".0100

Effective rate ) +10".0 * 100-D ) ".0D


11. 7im&le interest on a certain sum of money for 3 years at D &er annum is half the com&ound

interest on 's. 4000 for 2 years at 10D &er annum. /he sum &laced on sim&le interest is=

A. 's. 1##0 B. 's. 1"#0

C. 's. 1$#0 D. 's. 2000


Answer:%&tion C

Explanation:

A.I.

) 's. 40.

) 's. 4000 1

10 2

* 4000

100

) 's. 4000 11

11

* 4000

10 10


31/71

7um ) 's.420 100 ) 's. 1$#0.

3


12. If the sim&le interest on a sum of money for 2 years at #D &er annum is 's. #0, what is the

com&ound interest on the same at the same rate and for the same time!

A. 's. #1.2# B. 's. #2

C. 's. #4.2# D. 's. "0


Answer:%&tion A

Explanation:

7um ) 's.#0 100

) 's. #00.

2 #

mount

) 's. ##1.2#

A.I. ) 's. +##1.2# * #00- ) 's. #1.2#


13. /he difference between sim&le interest and com&ound on 's. 1200 for one year at 10D &er

annum reckoned half*yearly is=

A. 's. 2.#0 B. 's. 3

) 's. #00 1

# 2

100

) 's. #00 21

21

20 20


32/71

C. 's. 3.$# D. 's. 4

E. one of these


Answer:%&tion B

Explanation:

7.I. ) 's1200 10 1

) 's. 120.

100

A.I. ) 's. 1200 1

# 2

* 1200 ) 's. 123.100

9ifference ) 's. +123 * 120- ) 's. 3.


14. /he difference between com&ound interest and sim&le interest on an amount of 's. 1#,000 for

2 years is 's. ". What is the rate of interest &er annum!

A. B. 10

C. 12 D. Aannot be determined

E. one of these


Answer:%&tion A

Explanation:

1#000 1

' 2

* 1#000 *

1#000 ' 2

) "100 100

1#000 1 ' 2

* 1 *2'

) "100 100

1#000+100 '-2* 10000 * +200 '-

) "

10000

'2)" 2

) "4

3

' ) .

'ate ) D.


33/71


1#. /he com&ound interest on a certain sum for 2 years at 10D &er annum is 's. #2#. /he sim&le

interest on the same sum for double the time at half the rate &ercent &er annum is=

A. 's. 400 B. 's. #00

C. 's. "00 D. 's. 00


Answer:%&tion B

Explanation:

:et the sum be 's. ;.

/hen, ; 1

10 2

* ; ) #2#100

;

11 2

* 1 ) #2#10

; )#2# 100

) 2#00.

21

7um ) 's . 2#00.

7o, 7.I. ) 's.2#00 # 4

) 's. #00

100


can do a work in 1# days and @ in 20 days. If they work on it together for 4 days, then the

fraction of the work that is left is =

A.

1

4

B.

1

10

C.

$

1#D.

1#


Answer:%&tion D

Explanation:

8s 1 day8s work ) 1 L

1#


34/71

@8s 1 day8s work )1

L

20

+ @-8s 1 day8s work )1

1

)$

.

1# 20 "0

+ @-8s 4 day8s work )$

4 )$

.

"0 1#

/herefore, 'emaining work ) 1 *$

)

.

1# 1#


2. can lay railway track between two given stations in 1" days and @ can do the same ob in 12

days. With hel& of A, they did the ob in 4 days only. /hen, A alone can do the ob in=

A.

1days

#B.

2

days

#

C.

3days

#D. 10


Answer:%&tion C

Explanation:

+ @ A-8s 1 day8s work )1

,

4

8s 1 day8s work )1

,

1"

@8s 1 day8s work )1

.

12

A8s 1 day8s work )1

*1

1

)1

*$

)#

.

4 1" 12 4 4 4

7o, A alone can do the work in4

) 3

days.

# #

http://www.indiabix.com/aptitude/time-and-work/discussion-821http://www.indiabix.com/aptitude/time-and-work/discussion-821http://www.indiabix.com/aptitude/time-and-work/discussion-814http://www.indiabix.com/aptitude/time-and-work/discussion-814http://www.indiabix.com/aptitude/time-and-work/discussion-821http://www.indiabix.com/aptitude/time-and-work/discussion-814


35/71

3. , @ and A can do a &iece of work in 20, 30 and "0 days res&ectively. In how many days can

do the work if he is assisted by @ and A on every third day!

A. 12 days B. 1# days

C. 1" days D. 1 days


Answer:%&tion B

Explanation:

8s 2 day8s work )1

2 )1

.

20 10

+ @ A-8s 1 day8s work )

1

1

1

)

"

)

1

.20 30 "0 "0 10

Work done in 3 days )1

1

)1

.

10 10 #

ow,1

work is done in 3 days.

#

Whole work will be done in +3 #- ) 1# days.


4. is thrice as good as workman as @ and therefore is able to finish a ob in "0 days less than

@. Working together, they can do it in=

A. 20 days B. 22

1days

2

C. 2# days D. 30 days


Answer:%&tion B

Explanation:

'atio of times taken by and @ ) 1 = 3.

/he time difference is +3 * 1- 2 days while @ take 3 days and takes 1 day.

If difference of time is 2 days, @ takes 3 days.

If difference of time is "0 days, @ takes 3 "0 ) 0 days.

2
http://www.indiabix.com/aptitude/time-and-work/discussion-406http://www.indiabix.com/aptitude/time-and-work/discussion-406http://www.indiabix.com/aptitude/time-and-work/discussion-406


36/71

7o, takes 30 days to do the work.

8s 1 day8s work )1

30

@8s 1 day8s work )1

0


1 4 2

30 0 0 4#

and @ together can do the work in4# 1

2 2


#. alone can do a &iece of work in " days and @ alone in days. and @ undertook to do it for

's. 3200. With the hel& of A, they com&leted the work in 3 days. ow much is to be &aid to A!

A. 's. 3$# B. 's. 400

C. 's. "00 D. 's. 00


Answer:%&tion B

Explanation:

A8s 1 day8s work )1

*1

1

)1

*$

)1

.

3 " 3 24 24

8s wages = @8s wages = A8s wages ) 1=

1=

1) 4 = 3 = 1.

" 24

A8s share +for 3 days- ) 's. 3 1

3200 ) 's. 400.

24


". If " men and boys can do a &iece of work in 10 days while 2" men and 4 boys can do the

same in 2 days, the time taken by 1# men and 20 boys in doing the same ty&e of work will be=

A. 4 days B. # days

C. " days D. $ days



37/71

Answer:%&tion A

Explanation:

:et 1 man8s 1 day8s work ) xand 1 boy8s 1 day8s work ) y.

/hen, "x y)1

and 2"x 4y)1

.

10 2

7olving these two e(uations, we get = x)1

and y)1

.

100 200

+1# men 20 boy-8s 1 day8s work )1#

20

)1

.

100 200 4

1# men and 20 boys can do the work in 4 days.


$. can do a &iece of work in 4 hoursL @ and A together can do it in 3 hours, while and A

together can do it in 2 hours. ow long will @ alone take to do it!

A. hours B. 10 hours

C. 12 hours D. 24 hours


Answer:%&tion C

Explanation:

8s 1 hour8s work )1

L

4

+@ A-8s 1 hour8s work )1

L

3

+ A-8s 1 hour8s work )1

.

2

+ @ A-8s 1 hour8s work )1

1

)$

.

4 3 12

@8s 1 hour8s work )$

*1

)1

.

12 2 12

@ alone will take 12 hours to do the work.



38/71

. can do a certain work in the same time in which @ and A together can do it. If and @

together could do it in 10 days and A alone in #0 days, then @ alone could do it in=

A. 1# days B. 20 days



Answer:%&tion C

Explanation:


10

A8s 1 day8s work )1

#0


1

)"

)3

. .... +i-

10 #0 #0 2#

8s 1 day8s work ) +@ A-8s 1 day8s work .... +ii-

Brom +i- and +ii-, we get= 2 +8s 1 day8s work- )3

2#

8s 1 day8s work )3

.

#0

@8s 1 day8s work1

*3

)2

)1

.

10 #0 #0 2#

7o, @ alone could do the work in 2# days.


. does 0D of a work in 20 days. e then calls in @ and they together finish the remaining

work in 3 days. ow long @ alone would take to do the whole work!

A. 23 days B. 3$ days

C.3$

D. 40 days


Answer:%&tion C


39/71

Explanation:

Whole work is done by in 20 #

) 2# days.

4

ow, 1 * 4 i.e., 1 work is done by and @ in 3 days.

# #

Whole work will be done by and @ in +3 #- ) 1# days.

8s 1 day8s work )1

, + @-8s 1 day8s work )1

.

2# 1#

@8s 1 day8s work )1

*1

)4

)2

.

1# 2# 1#0 $#

7o, @ alone would do the work in$#

) 3$1

days.

2 2


10. machine ; can &rint one lakh books in hours, machine < can &rint the same number of

books in 10 hours while machine ' can &rint them in 12 hours. ll the machines are started at

.K. while machine ; is closed at 11 .K. and the remaining two machines com&lete work.

&&roimately at what time will the work +to &rint one lakh books- be finished !

A. 11=30 .K. B. 12 noon

C. 12=30 ;.K. D. 1=00 ;.K.


Answer:%&tion D

Explanation:

+; < '-8s 1 hour8s work )1

1

1

)3$

.

10 12 120

Work done by ;, < and ' in 2 hours )3$

2 )3$

.

120 "0

'emaining work ) 1 *3$

)23

.

"0 "0

+< '-8s 1 hour8s work )1

1

)11

.

10 12 "0

ow, 11 work is done by < and ' in 1 hour.

"0


40/71

7o,23

work will be done by < and ' in"0

23

)23

hours 2 hours.

"0 11 "0 11

7o, the work will be finished a&&roimately 2 hours after 11 .K., i.e., around 1 ;.K.


11. can finish a work in 1 days and @ can do the same work in 1# days. @ worked for 10 days

and left the ob. In how many days, alone can finish the remaining work!

A. # B.#

1

2

C. " D.


Answer:%&tion C

Explanation:

@8s 10 day8s work )1

10 )2

.

1# 3

'emaining work ) 1 *2

)1

.

3 3

ow,1

work is done by in 1 day.

1

1work is done by in 1

1) " days.

3 3


12. 4 men and " women can com&lete a work in days, while 3 men and $ women can com&lete

it in 10 days. In how many days will 10 women com&lete it!

A. 3# B. 40

C. 4# D. #0


Answer:%&tion B

Explanation:

:et 1 man8s 1 day8s work ) xand 1 woman8s 1 day8s work ) y.


41/71

/hen, 4x "y)1

and 3x $y)1

.

10

7olving the two e(uations, we get= x)11

, y)1

400 400

1 woman8s 1 day8s work )1

.

400

10 women8s 1 day8s work )1

10 )1

.

400 40

ence, 10 women will com&lete the work in 40 days.


13. and @ can together finish a work 30 days. /hey worked together for 20 days and then @ left.

fter another 20 days, finished the remaining work. In how many days alone can finish the

work!

A. 40 B. #0

C. #4 D. "0


Answer:%&tion D

Explanation:

+ @-8s 20 day8s work )1

20 )2

.

30 3


)1

.

3 3

ow,1

work is done by in 20 days.

3

/herefore, the whole work will be done by in +20 3- ) "0 days.


14. ; can com&lete a work in 12 days working hours a day. < can com&lete the same work in

days working 10 hours a day. If both ; and < work together, working hours a day, in how

many days can they com&lete the work!


42/71

A. #

#

11B. #

"

11

C. "

#

11 D. "

"

11


Answer:%&tion A

Explanation:

; can com&lete the work in +12 - hrs. ) " hrs.

< can com&lete the work in + 10- hrs. ) 0 hrs.

;8s1 hour8s work )1

and


43/71

+# women 10 children-8s day8s work )#

10

)1

1

)1

$0 140 14 14 $

# women and 10 children will com&lete the work in $ days.


1". > and G can do a &iece of work in 20 days and 12 days res&ectively. > started the work alone

and then after 4 days G oined him till the com&letion of the work. ow long did the work last!

A. " days B. 10 days



Answer:%&tion B

Explanation:

Work done by > in 4 days )1

4 )1

.

20 #


)4

.

# #

+> G-8s 1 day8s work )

1

1

)

)

2

.20 12 "0 1#

ow,2

work is done by > and G in 1 day.

1#

7o,4

work will be done by > and G in1#

4

) " days.

# 2 #

ence, total time taken ) +" 4- days ) 10 days.


1$. is 30D more efficient than @. ow much time will they, working together, take to com&lete a

ob which alone could have done in 23 days!

A. 11 days B. 13 days

C.20

3days

1$D. one of these



44/71

Answer:%&tion B

Explanation:

'atio of times taken by and @ ) 100 = 130 ) 10 = 13.

7u&&ose @ takes xdays to do the work.

/hen, 10 = 13 == 23 = x x)23 13

x)2

.

10 10

8s 1 day8s work )1

L

23

@8s 1 day8s work )10

.

2


10

)23

)1

.

23 2 2 13

/herefore, and @ together can com&lete the work in 13 days.


1. 'avi and Oumar are working on an assignment. 'avi takes " hours to ty&e 32 &ages on a

com&uter, while Oumar takes # hours to ty&e 40 &ages. ow much time will they take, working

together on two different com&uters to ty&e an assignment of 110 &ages!

A. $ hours 30 minutes B. hours

C. hours 1# minutes D. hours 2# minutes


Answer:%&tion C

Explanation:

umber of &ages ty&ed by 'avi in 1 hour )32

)1"

.

" 3

umber of &ages ty&ed by Oumar in 1 hour )40

) .

#

umber of &ages ty&ed by both in 1 hour )1"

)40

.

3 3

/ime taken by both to ty&e 110 &ages ) 110 3

hours

40

) 1 hours +or- hours 1# minutes.


45/71

4


1. , @ and A can com&lete a &iece of work in 24, " and 12 days res&ectively. Working together,

they will com&lete the same work in=

A.

1day

24 B.

$day

24

C. 3

3days

$D. 4 days


Explanation:

Formula:If can do a &iece of work in ndays, then 8s 1 day8s work )1

.

n


1

1

)$

.

24 " 12 24

Formula:If 8s 1 day8s work ) 1 , then can finish the work in ndays.

n

7o, all the three together will com&lete the ob in24

days) 3

3days.

$ $


20. 7akshi can do a &iece of work in 20 days. /anya is 2#D more efficient than 7akshi. /he

number of days taken by /anya to do the same &iece of work is=

A. 1# B. 1"

C. 1 D. 2#


Answer:%&tion B

Explanation:

'atio of times taken by 7akshi and /anya ) 12# = 100 ) # = 4.


46/71

7u&&ose /anya takes xdays to do the work.

# = 4 ::20 = x x)4 20

#

x) 1" days.

ence, /anya takes 1" days to com&lete the work.


21. takes twice as much time as @ or thrice as much time as A to finish a &iece of work. Working

together, they can finish the work in 2 days. @ can do the work alone in=

A. 4 days B. " days

C. days D. 12 days


Answer:%&tion B

Explanation:

7u&&ose , @ and A take x,x

andx

days res&ectively to finish the work.

2 3

/hen,1

2

3

)1

x x x 2

")

1

x 2

x) 12.

7o, @ takes +12C2- ) " days to finish the work.


22. and @ can com&lete a work in 1# days and 10 days res&ectively. /hey started doing the work

together but after 2 days @ had to leave and alone com&leted the remaining work. /he

whole work was com&leted in =

A. days B. 10 days

C. 12 days D. 1# days


Answer:%&tion C


47/71

Explanation:


1

)1

.

1# 10 "

Work done by and @ in 2 days ) 1 2 ) 1 .

" 3


)2

.

3 3

ow,1


1#

2work will be done by a in 1#

2) 10 days.

3 3

ence, the total time taken ) +10 2- ) 12 days.


23. and @ can do a &iece of work in 30 days, while @ and A can do the same work in 24 days

and A and in 20 days. /hey all work together for 10 days when @ and A leave. ow many

days more will take to finish the work!

A. 1 days B. 24 days

C. 30 days D. 3" days


Answer:%&tion A

Explanation:

2+ @ A-8s 1 day8s work )1

1

1

)1#

)1

.

30 24 20 120

/herefore, + @ A-8s 1 day8s work )1

)1

.

2 1"

Work done by , @, A in 10 days )10

)#

.

1"

'emaining work ) 1 *#

)3

.

8s 1 day8s work )1

*1

)1

.

1" 24 4


48/71

ow,1


4

7o,3

work will be done by in 4 3

) 1 days.


24. works twice as fast as @. If @ can com&lete a work in 12 days inde&endently, the number of

days in which and @ can together finish the work in =

A. 4 days B. " days

C. days D. 1 days


Answer:%&tion A

Explanation:

'atio of rates of working of and @ ) 2 = 1.

7o, ratio of times taken ) 1 = 2.

@8s 1 day8s work )1

.

12

8s 1 day8s work )1

L +2 times of @8s work-

"


1

)3

)1

.

" 12 12 4

7o, and @ together can finish the work in 4 days.


2#. /wenty women can do a work in siteen days. 7iteen men can com&lete the same work in

fifteen days. What is the ratio between the ca&acity of a man and a woman!

A. 3 = 4 B. 4 = 3

C. # = 3 D. 9ata inade(uate


Answer:%&tion B

Explanation:


49/71

+20 1"- women can com&lete the work in 1 day.

1 woman8s 1 day8s work )1

.

320

+1" 1#- men can com&lete the work in 1 day.

1 man8s 1 day8s work )1

240

7o, re(uired ratio )1

=1

240 320

)1

=1

3 4

) 4 = 3 +cross multi&lied-


Speed and distance:

1. &erson crosses a "00 m long street in # minutes. What is his s&eed in km &er hour!

A. 3." B. $.2

C. .4 D. 10


Answer:%&tion B

Explanation:

7&eed )"00

mCsec.# "0

) 2 mCsec.

Aonverting mCsec to kmChr +see im&ortant formulassection-

) 2 1

kmChr

#

) $.2 kmChr.


2. n aero&lane covers a certain distance at a s&eed of 240 km&h in # hours. /o cover the same
http://www.indiabix.com/aptitude/time-and-work/discussion-407http://www.indiabix.com/aptitude/time-and-work/discussion-407http://www.indiabix.com/aptitude/time-and-distance/formulashttp://www.indiabix.com/aptitude/time-and-distance/discussion-434http://www.indiabix.com/aptitude/time-and-distance/discussion-434http://www.indiabix.com/aptitude/time-and-work/discussion-407http://www.indiabix.com/aptitude/time-and-distance/formulashttp://www.indiabix.com/aptitude/time-and-distance/discussion-434


50/71

distance in 1 hours, it must travel at a s&eed of=

A. 300 km&h B. 3"0 km&h

C. "00 km&h D. $20 km&h


Answer:%&tion D

Explanation:

9istance ) +240 #- ) 1200 km.

7&eed ) 9istanceC/ime

7&eed ) 1200C+#C3- kmChr. We can write 1 hours as #C3 hours5

'e(uired s&eed ) 1200 3

kmChr) $20 kmChr.

#


3. If a &erson walks at 14 kmChr instead of 10 kmChr, he would have walked 20 km more. /he

actual distance travelled by him is=

A. #0 km B. #" km

C. $0 km D. 0 km


Answer:%&tion A

Explanation:

:et the actual distance travelled be xkm.

/hen,x

)x 20

10 14

14x) 10x 200

4x) 200

x) #0 km.

http://www.indiabix.com/aptitude/time-and-distance/discussion-436http://www.indiabix.com/aptitude/time-and-distance/discussion-436http://www.indiabix.com/aptitude/time-and-distance/discussion-446http://www.indiabix.com/aptitude/time-and-distance/discussion-446http://www.indiabix.com/aptitude/time-and-distance/discussion-436http://www.indiabix.com/aptitude/time-and-distance/discussion-446


51/71

4. train can travel #0D faster than a car. @oth start from &oint at the same time and reach

&oint @ $# kms away from at the same time. %n the way, however, the train lost about 12.#

minutes while sto&&ing at the stations. /he s&eed of the car is=

A. 100 km&h B. 110 km&h

C. 120 km&h D. 130 km&h


Answer:%&tion C

Explanation:

:et s&eed of the car be xkm&h.

/hen, s&eed of the train )1#0

x )3

xkm&h.100 2

$#*

$#)

12#

x +3C2-x 10 "0

$#*

#0)

#

x x 24

x)2# 24

) 120 km&h.

#


#. Ecluding sto&&ages, the s&eed of a bus is #4 km&h and including sto&&ages, it is 4# km&h.

Bor how many minutes does the bus sto& &er hour!

A. B. 10

C. 12 D. 20


Answer:%&tion B

Explanation:

9ue to sto&&ages, it covers km less.

/ime taken to cover km )

"0min

) 10 min.

#4


".In a flight of "00 km, an aircraft was slowed down due to bad weather. Its average s&eed forthe tri& was reduced by 200 kmChr and the time of flight increased by 30 minutes. /he


52/71

duration of the flight is=

A. 1 hour B. 2 hours

C. 3 hours D. 4 hoursAnswer & Explanation

Answer:%&tion A

Explanation:

:et the duration of the flight be xhours.

/hen,"00

*"00

) 200

x x +1C2-

"00*

1200) 200

x 2x 1

x+2x 1- ) 3

2x2 x* 3 ) 0

+2x 3-+x* 1- ) 0

x) 1 hr. neglecting the *ve value of x5


$. man com&lete a ourney in 10 hours. e travels first half of the ourney at the rate of 21

kmChr and second half at the rate of 24 kmChr. Bind the total ourney in km.

A. 220 km B. 224 km

C. 230 km D. 234 km


Answer:%&tion B

Explanation:

+1C2-x

+1C2-x) 10

21 24

x

x) 20

21 24

1#x) 1" 20
http://www.indiabix.com/aptitude/time-and-distance/discussion-447http://www.indiabix.com/aptitude/time-and-distance/discussion-447http://www.indiabix.com/aptitude/time-and-distance/discussion-447


53/71

x)1" 20

) 224 km.

1#


. /he ratio between the s&eeds of two trains is $ = . If the second train runs 400 km in 4 hours,

then the s&eed of the first train is=

A. $0 kmChr B. $# kmChr

C. 4 kmChr D. $.# kmChr


Answer:%&tion D

Explanation:

:et the s&eed of two trains be $xand xkmChr.

/hen, x)400

) 100

4

x)100

) 12.#

7&eed of first train ) +$ 12.#- kmChr ) $.# kmChr.


. man on tour travels first 1"0 km at "4 kmChr and the net 1"0 km at 0 kmChr. /he average

s&eed for the first 320 km of the tour is=

A. 3#.## kmChr B. 3" kmChr

C. $1.11 kmChr D. $1 kmChr


Answer:%&tion C

Explanation:

/otal time taken )1"0

1"0

hrs.)

hrs.

"4 0 2

verage s&eed ) 320 2

kmChr) $1.11 kmChr.

http://www.indiabix.com/aptitude/time-and-distance/discussion-437http://www.indiabix.com/aptitude/time-and-distance/discussion-437http://www.indiabix.com/aptitude/time-and-distance/discussion-435http://www.indiabix.com/aptitude/time-and-distance/discussion-435http://www.indiabix.com/aptitude/time-and-distance/discussion-439http://www.indiabix.com/aptitude/time-and-distance/discussion-439http://www.indiabix.com/aptitude/time-and-distance/discussion-437http://www.indiabix.com/aptitude/time-and-distance/discussion-435http://www.indiabix.com/aptitude/time-and-distance/discussion-439


54/71

10.

car travelling with of its actual s&eed covers 42 km in 1 hr 40 min 4 sec. Bind the actual

s&eed of the car.

A. 1$

"kmChr

$B. 2# kmChr

C. 30 kmChr D. 3# kmChr


Answer:%&tion D

Explanation:

/ime taken ) 1 hr 40 min 4 sec ) 1 hr 40 4 min ) 1 #1 hrs ) 12" hrs.

# $# $#

:et the actual s&eed be xkmChr.

/hen,#

x12"

) 42

$ $#

x)42 $ $#

) 3# kmChr.

# 12"


11. In covering a distance of 30 km, bhay takes 2 hours more than 7ameer. If bhay doubles his

s&eed, then he would take 1 hour less than 7ameer. bhay8s s&eed is=

A. # km&h B. " km&h

C. ".2# km&h D. $.# km&h


Answer:%&tion A

Explanation:

:et bhay8s s&eed be xkmChr.

/hen,30

*30

) 3

x 2x

"x) 30

x) # kmChr.



55/71

12. 'obert is travelling on his cycle and has calculated to reach &oint at 2 ;.K. if he travels at 10

km&h, he will reach there at 12 noon if he travels at 1# km&h. t what s&eed must he travel to

reach at 1 ;.K.!

A. km&h B. 11 km&h

C. 12 km&h D. 14 km&h


Answer:%&tion C

Explanation:

:et the distance travelled by xkm.

/hen,x

*x

) 2

10 1#

3x* 2x) "0

x) "0 km.

/ime taken to travel "0 km at 10 kmChr )"0

hrs) " hrs.

10

7o, 'obert started " hours before 2 ;.K. i.e.,at .K.

'e(uired s&eed )"0

km&h.) 12 km&h.

#


13. It takes eight hours for a "00 km ourney, if 120 km is done by train and the rest by car. It

takes 20 minutes more, if 200 km is done by train and the rest by car. /he ratio of the s&eed

of the train to that of the cars is=

A. 2 = 3 B. 3 = 2

C. 3 = 4 D. 4 = 3


Answer:%&tion C

Explanation:

:et the s&eed of the train be xkmChr and that of the car be ykmChr.

/hen, 120 40 ) 1 4 ) 1 ....+i-
http://www.indiabix.com/aptitude/time-and-distance/discussion-441http://www.indiabix.com/aptitude/time-and-distance/discussion-441http://www.indiabix.com/aptitude/time-and-distance/discussion-441


56/71

x y x y 1#

nd,200

400

)2#

1

2

)1

....+ii-

x y 3 x y 24

7olving +i- and +ii-, we get= x) "0 and y) 0.

'atio of s&eeds ) "0 = 0 ) 3 = 4.


14. farmer travelled a distance of "1 km in hours. e travelled &artly on foot J 4 kmChr and

&artly on bicycle J kmChr. /he distance travelled on foot is=

A. 14 km B. 1# km

C. 1" km D. 1$ km


Answer:%&tion C

Explanation:

:et the distance travelled on foot be xkm.

/hen, distance travelled on bicycle ) +"1 *x- km.

7o,x

+"1 *x-

)

4

x 4+"1 *x- ) 3"

#x) 0

x) 1" km.


1#. man covered a certain distance at some s&eed. ad he moved 3 km&h faster, he would have

taken 40 minutes less. If he had moved 2 km&h slower, he would have taken 40 minutes

more. /he distance +in km- is=

A. 3# B. 3"

2

3

C. 3$

1

2 D. 40


57/71


Answer:%&tion D

Explanation:

:et distance ) xkm and usual rate ) ykm&h.

/hen,x

*x

)40

2y+y 3- ) x....+i-

y y 3 "0

nd,x

*x

)40

y+y* 2- ) 3x....+ii-

y*2 y "0

%n dividing +i- by +ii-, we get= x) 40.


Probability:

1. /ickets numbered 1 to 20 are mied u& and then a ticket is drawn at random. What is the

&robability that the ticket drawn has a number which is a multi&le of 3 or #!

A.

1

2 B.

2

#

C.

1# D.

20

Answer & ExplanationAnswer:%&tion D

Explanation:

ere, 7 ) P1, 2, 3, 4, ...., 1, 20Q.

:et E ) event of getting a multi&le of 3 or # ) P3, " , , 12, 1#, 1, #, 10, 20Q.

;+E- )n+E-

)

.

n+7- 20


2. bag contains 2 red, 3 green and 2 blue balls. /wo balls are drawn at random. What is the

&robability that none of the balls drawn is blue!
http://www.indiabix.com/aptitude/time-and-distance/discussion-442http://www.indiabix.com/aptitude/time-and-distance/discussion-442http://www.indiabix.com/aptitude/probability/discussion-692http://www.indiabix.com/aptitude/probability/discussion-692http://www.indiabix.com/aptitude/time-and-distance/discussion-442http://www.indiabix.com/aptitude/probability/discussion-692


58/71

A.

10

21 B.

11

21

C.

2

$ D.

#

$


Answer:%&tion A

Explanation:

/otal number of balls ) +2 3 2- ) $.

:et 7 be the sam&le s&ace.

/hen, n+7- ) umber of ways of drawing 2 balls out of $

) $A2R

)+$ "-

+2 1-

) 21.

:et E ) Event of drawing 2 balls, none of which is blue.

n+E- ) umber of ways of drawing 2 balls out of +2 3- balls.

) #A2

)+# 4-

+2 1-

) 10.

;+E- )n+E-

)10

.

n+7- 21


3. In a bo, there are red, $ blue and " green balls. %ne ball is &icked u& randomly. What is the

&robability that it is neither red nor green!
http://www.indiabix.com/aptitude/probability/discussion-700http://www.indiabix.com/aptitude/probability/discussion-700http://www.indiabix.com/aptitude/probability/discussion-700


59/71

A.

1

3 B.

3

4

C.

$

1 D.

21

E.

21


Answer:%&tion A

Explanation:

/otal number of balls ) + $ "- ) 21.

:et E ) event that the ball drawn is neither red nor green

) event that the ball drawn is blue.

n+E- ) $.

;+E- )n+E-

)$

)1

.

n+7- 21 3


4. What is the &robability of getting a sum from two throws of a dice!

A.

1

" B.

1

C.

1

D.

1

12


Answer:%&tion C

Explanation:

In two throws of a die, n+7- ) +" "- ) 3".

:et E ) event of getting a sum )P+3, "-, +4, #-, +#, 4-, +", 3-Q.

;+E- )n+E-

)4

)1

.

n+7- 3"

http://www.indiabix.com/aptitude/probability/discussion-701http://www.indiabix.com/aptitude/probability/discussion-701http://www.indiabix.com/aptitude/probability/discussion-690http://www.indiabix.com/aptitude/probability/discussion-690http://www.indiabix.com/aptitude/probability/discussion-701http://www.indiabix.com/aptitude/probability/discussion-690


60/71

#. /hree unbiased coins are tossed. What is the &robability of getting at most two heads!

A.

3

4 B.

1

4

C.

3

D.

$


Answer:%&tion D

Explanation:

ere 7 ) P///, //, //, //, /, /, /, Q

:et E ) event of getting at most two heads.

/hen E ) P///, //, //, //, /, /, /Q.

;+E- )n+E-

)$

.

n+7-


". /wo dice are thrown simultaneously. What is the &robability of getting two numbers whose

&roduct is even!

A.

1

2 B.

3

4

C.

3

D.

#

1"


Answer:%&tion B

Explanation:

In a simultaneous throw of two dice, we have n+7- ) +" "- ) 3".

/hen, E ) P+1, 2-, +1, 4-, +1, "-, +2, 1-, +2, 2-, +2, 3-, +2, 4-, +2, #-, +2, "-, +3, 2-, +3, 4-,

+3, "-, +4, 1-, +4, 2-, +4, 3-, +4, 4-, +4, #-, +4, "-, +#, 2-, +#, 4-, +#, "-, +", 1-,

+", 2-, +", 3-, +", 4-, +", #-, +", "-Q

n+E- ) 2$.

;+E- )n+E-

)2$

)3

.

n+7- 3" 4



61/71

$. In a class, there are 1# boys and 10 girls. /hree students are selected at random. /he

&robability that 1 girl and 2 boys are selected, is=

A.

21

4" B.

2#

11$

C.

1

#0 D.

3

2#


Answer:%&tion A

Explanation:

:et 7 be the sam&le s&ace and E be the event of selecting 1 girl and 2 boys.

/hen, n+7- ) umber ways of selecting 3 students out of 2#

) 2#A3R

)+2# 24 23-

+3 2 1-

) 2300.

n+E- ) +10

A11#

A2-

) 10 +1# 14-

+2 1-

) 10#0.

;+E- )n+E-

)10#0

)21

.

n+7- 2300 4"


. In a lottery, there are 10 &ri6es and 2# blanks. lottery is drawn at random. What is the

&robability of getting a &ri6e!

A.

1

10 B.

2

#

C.

2

$ D.

#

$
http://www.indiabix.com/aptitude/probability/discussion-702http://www.indiabix.com/aptitude/probability/discussion-702http://www.indiabix.com/aptitude/probability/discussion-702


62/71


Answer:%&tion C

Explanation:

; +getting a &ri6e- )10

)10

)2

.

+10 2#- 3# $


. Brom a &ack of #2 cards, two cards are drawn together at random. What is the &robability of

both the cards being kings!

A.

1

1# B.

2#

#$

C.

3#

2#" D.

1

221


Answer:%&tion D

Explanation:

:et 7 be the sam&le s&ace.

/hen, n+7- ) #2A2)+#2 #1-

) 132".

+2 1-

:et E ) event of getting 2 kings out of 4.

n+E- ) 4A2)+4 3-

) ".

+2 1-

;+E- )n+E-

)"

)1

.

n+7- 132" 221


10. /wo dice are tossed. /he &robability that the total score is a &rime number is=

A.

1

" B.

#

12

C.

1

2 D.

$



63/71

Answer:%&tion B

Explanation:

Alearly, n+7- ) +" "- ) 3".

:et E ) Event that the sum is a &rime number.

/hen E ) P +1, 1-, +1, 2-, +1, 4-, +1, "-, +2, 1-, +2, 3-, +2, #-, +3, 2-, +3, 4-, +4, 1-, +4, 3-,

+#, 2-, +#, "-, +", 1-, +", #- Q

n+E- ) 1#.

;+E- )n+E-

)1#

)#

.

n+7- 3" 12


11. card is drawn from a &ack of #2 cards. /he &robability of getting a (ueen of club or a king of

heart is=

A.

1

13 B.

2

13

C.

1

2" D.

1

#2


Explanation:

ere, n+7- ) #2.

:et E ) event of getting a (ueen of club or a king of heart.

/hen, n+E- ) 2.

;+E- )

n+E-

)

2

)

1

.n+7- #2 2"


12. bag contains 4 white, # red and " blue balls. /hree balls are drawn at random from the bag.

/he &am

Documents

Appt Itudesgddfhghjh