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BANK-PO (MATHS)
CAREER CAMPUS Bhande Plot Square, Nandanvan, Nagpur-9960133124, 9890770008 Page 1
Topic 1 :-AGES
Q.1- The age of father 8 years ago was 5 times the age of his son. At present the father’s age is 3
times that of his son. Find the present age of father.
a) 48 years b) 36 years c) 46 years d) 58 years
Q.2- The age of Arvind’s father is 4 times his age. If 5 years ago, father’s age was 7 times of
the age of his son at that time, what is Arvind’s father’s present age ?
a) 84 years b) 70 years c) 40 years d) 35 years
Q.3- If the product of the present ages of the father and his son is 3600 years and the ratio
present ages is 16 : 9. Find the difference between their present ages.
a) 45 years b) 40 years c) 35 years d) None of these
Q.4- A man’s age is 150% of what it was 10 years ago, but 75% of what it will be after 10
years. What is his present age ?
a) 25 years b) 30 years c) 35 years d) 40 years
Q.5- The product of the ages of Harish and Seema is 240.If twice the age of Seema’s is more
than Harish’s age by 4 years, what is Seema’s age in years ?
a) 12 years b) 20 years c) 10 years d) 14 years
e) Data inadequate
Q.5- If 6 years are subtracted from the present age of Randheer and the remainder is divided by 18, then the
present age of his grandson Anup is obtained. If Anup is 2 years younger to Mahesh whose age is 5 years,
then what is the age of Randheer ?
a) 96 years b) 84 years c) 48 years d) 60 years
Q.6- Kamal got married 6 years ago. Today her age is 1¼ times her age at the time of
marriage. His son’s age is 1/10 times her age. The age of her son is :
a) 2 years b) 3 years c) 4 years d) 5 years
Topic 2:- AVERAGE
Q.1. The average of first five prime numbers is:
(a) 4.5 (b) 5 (c) 5.6 (d) 7.5
Q.2. The average of all odd numbers up to 100 is:
(a) 51 (b) 50 (c) 49.5 (d) 49
Q.3. The average of five results is 46 and that of the first four is 45. The fifth result is :
(a) 1 (b) 10 (c) 12.5 (d) 50
Q.4. The average of six number is 30. If the average of first four is 25 and that of last three is
35, the fourth number is :
(a) 25 (b) 30 (c) 35 (d) 40
Q.5. Out of four number, the average of first three is 16 and that of the last three is 15. If the
last number is 18, the first number is
(a) 20 (b)21 (c) 22 (d) 25
Q.6. Mukesh has twice as much money as Sohan and Sohan has 50% more money than what
Pankaj has. If the average money with them is 110 Rs., then Mukesh has:
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(a) Rs.55 (b) Rs.60 (c) Rs.90 (d) Rs.180
Q.7. The average weight of 8 men is increased by 1.5 kg when one of the men who weighs 65 kg is replaced
by a new man. The weight of the new man is:
(a) 76kg (b) 76.5kg (c) 76.5kg (d) 77kg
Q.8. A cricketer has a certain average for 9 innings. In the tenth inning, he scores 100 runs,
thereby increasing his average by 8 runs. His new average is:
(a) 20 runs (b) 24 runs (c) 28 runs (d) 32 runs
Q.9. A team of 8 persons joins in a shooting competition. The best marksman scored 85
points. If he had scored 92 point, the average score for the team would have been 84.
The number of points, the team scored was:
(a) 672 (b) 665 (c) 645 (d) 588
Q.10. The average age of a class is 15.8 years. The average age of the boys in the class is 16.4
yrs. While that of the girls is 15.4 years. What is the ratio of boys to girls in the class?
(a) 1:2 (b) 3:4 (c) 3:5 (d) None of these
Topic 3 :- RATIO & PROPORTION
Q.1. If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is
a) 55 : 77 : 66 b) 30 : 42 : 77 c) 35 : 49 : 42 d) None of these
Q.2. If p : q = 3 : 4 and q : r = 8 : 9, then p : r is:
a) 1:3 b) 3:2 c) 2:3 d) 1:2
Q.3. If A:B = 8:15, B:C = 5:8 and C:D = 4:5 , then A:D is equal to
a) 2:7 b) 4:15 c) 8:15 d) 15 :4
Q.4. The salaries of A, B and C are in the ratio of 1:2:3. The salary of B and C together is Rs. 6000.By what
percent is the salary of C more than that of A?
a) 100% b) 200% c) 300% d) 600%
Q.5. Rs.730 were divided among A,B,C in such a way that if A gets Rs.3, then B gets Rs. 4 and B gets Rs.
3.5 then C gets Rs.3. The share of B exceeds that of C by:
a) Rs.30 b) Rs.40 c) Rs. 70 d) Rs. 210
Q.6. Rs. 120 are divided among A,B,C such that A’s share is Rs.20 more than B’s and Rs. 20 less than C’s
what is B’s share ?
a) Rs.10 b) 15 c) Rs.20 d) Rs.25
Q.7. Rs.180 contained in a box consists of one rupee ,50-paise and 25-paise coins in the proportion of
2:3:4.What is the number of 50 – paise coins ?
a) 120 b) 150 c) 180 d) 240
Q.8. The fourth proportional of 0.2 ,0.12 and 0.3 is :
a) 0.13 b) 0.15 c) 0.18 d) 0.8
Q.9. The third proportional to 0.36 and 0.48 is :
a) 0.64 b) 0.1728 c) d) None of these
Q.10. The ratio of third proportion to 12 and 30 and the mean proportional of 9 and 25 is :
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a) 2:1 b) 5:1 c) 7 : 15 d) 9:14
Q.11. An amount of Rs. 2430 is divided is among A ,B and C such that if their shares be reduced by Rs.5
,Rs.10 and Rs.15 respectively ,the remainders shall be in the ratio 3:4:5 the share of B is :
a) Rs.605 b) Rs.790 c) Rs.800 d) Rs. 810
Q.12. If Rs. 1066 are divided among A, B, C and D such that A : B = 3 : 4, B: C = 5 : 6 and
C : D = 7 : 5 who will get the maximum?
a) B b) A c) C d) D
Q.13. 33 1/3% of a man’s output is equal to 50% of a second man’s daily output. If the second man turns out
1500 screws daily, then the first man’s output in terms of making screws is :
a) 500 b) 1000 c) 2000 d) 2250
Topic 4 :- TIME AND WORK
Q.1 A takes 15 hours to do job .B takes 10 hours to do the same job. How long should it
take both A and B, working together ?
Q.2 A can do a certain job in 12 days, B is 60% more efficient than A. How many days does B
alone take do the same job ?
Q.3 A can do a piece of work in 80 days .He works at it for 10 days and then B alone
finishes the remaining work in 42 days .In how much time will A and B ,working
together ,finish the work ?
Q.4 A and B can do a work in 12 days, B and C in 15 days , C and A in 20 days .If A ,B
and C work together ,they will complete the work in :
Q.5 A and B can do a piece of work in 5 days ; B and C can do it in 7 days ; A and C can do it in 4 days . Who
among these will take the least time if put to do it alone ?
Q.6 A and B together can do a piece of work in 12 days ,which B and C together can do in 16 days. After A
has been working at it for 5 days and B for 7 days ,C finishes it in 13 days. In how many days C alone will
do the work ?
Q.7 A is thrice as good a workman as B and therefore is able to finish a job in 60 days less
than B. Working together, they can do it in :
Q.8 A is 30% more efficient than B .How much time will they ,working together ,take to
complete a job which A alone could have done in 23 days ?
Q.9 A , B and C can a piece of work in 11 days ,20 days and 55 days respectively Working
alone How soon can the work be done if A is assisted by B and C on alternate days ?
Q.10 10 men can complete a work in 15 days and 15 women can complete the same working 12 days .If all the
10 men and 15 women work together ,in how many days will the work get completed ?
Q.11 12 men can complete a piece of working 4 days while 15 women can complete the same
work in 4 days .6 men start working on the job and after working for 2 days, all of them
stopped working. How many women should put on the job to complete the remaining
work, if it is to be completed in 3 days ?
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Topic 5:- PIPES AND CISTERNS
Q.1- A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If
both the pipes are open, how long will it take to empty or fill the tank completely ?
a) 6 min.to empty b) 6 min. to fill c) 9 min.to empty d) 9 min to fill e) None of these
Q.2- A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many
minutes will it take to fill the tanker from empty state if B in used for half the time and A and B fill it
together for the other half ?
a) 15 min b) 20 min c) 27.5 min d) 30 min
Q.3- Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively . Both pipes are opened.
The cistern will be filled in just half an hour, if the pipe B is turned off after :
a) 5 min b) 9 min c) 10 min d) 15 min
Topic 6 :- PROBLEMS ON TRAIN
Q.1. A train moves with a speed of 108 km/ph. Its speed in meters per second is:
Q.2. A train 280 m long, running with a speed of 63 km/hr will pass as electric pole in:
Q.3. A train 700 m long is running at 72 km/ph. If it crosses a tunnel in 1 minute, the length of the tunnel is:
Q.4. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds its length is:
Q.5. A train 110 m long is traveling at a speed of 58 km/ph. The time in which it will pass a passer by, walking
at 4 km/ph in the same direction, is:
Q.6. Two stations A and B are 110 km apart on a straight line. One trains starts from A at 7 a.m. and travels
towards B at 20 km/hr. Another train starts form B at 8 a.m. and travels towards A a speed of 25 km/hr. at
what time will they meet ?
Topic 7 :-TIME AND DISTANCE
Q.1. Vikas can cover a certain distance in 1 hr 24 min. by covering two-third of the distance at 4 km/hr and the
rest at 5 km/hr. The total distance is:
Q.2. Walking at of his usual speed, a man is late by hours. The usual time would have been:
Q.3. If a train runs at 40 km/hr, it reaches its destination late by 11 minutes but if runs at 50
km/hr, it is late by 5 min. only. The correct time for the train to complete its journey is:
Q.4. Bombay Express left Delhi for Bombay at 14.30 hrs, traveling at a speed of 60 km/hr and Rajdhani Express
left Delhi for Bombay on the same day at 16.30 hrs, traveling at a speed of 80 km/hr. How far away from
Delhi will the two trains meet?
Q.5. In covering a certain distance, the speeds of A and B are in the ratio of 3:4. If A takes 20 min. more than B
to reach the destination he time taken by A to reach the destination is:
Q.6. The ratio between the speeds of A and B is 2:3 and therefore A takes 10 minutes more than the time taken
by B to reached a destination. If A had walked at doubled the speed, he would have covered the distance in:
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Q.7. Two men start together to walk to a certain destination, one at 3 km/hr and another at 3.75 km/hr. The latter
arrives half an hour before the former. The distance is:
Q.8. A man takes 5 hours 45 min. in walking to a certain place and riding back. He would have gained 2 hours
by riding both ways. The time he would take to walk both ways is:
Topic 8 :- PERCENTAGE
Q1. If A’s income is 25% more than that of B, then how much percent is B’s income less than that of A?
a) 20 % b) 25 % c) 35 % d) 34 %
Q.2. If the price of tea is increased by 20%, find by how much percent must a householder reduce her
consumption of tea so as not to increase the expenditure?
a) 16 2
3 % b) 17 % c) 16
3
2% d) 32 %
Q.3. If the price of sugar decreases by 20% find by how much percent must a householder increase her
consumption of sugar so as not to decrease the expenditure?
a) 35 % b) 20 % c) 25 % d) 30 %
Q 4. If 37% of a number is 990.86, what will be approximately 19 % of that number ?
a) 500 % b) 508.82 % c) 500.8% d) 530.8 %
Q 5. If 75% of a number is added to 75, the result is the number itself. Then, the number is:
a) 50 b) 60 c) 300 d) 400
Q 6. Subtracting 40% of a number from the number, we get result as 30. The number is:
a) 28 b) 50 c) 52 d) 70
Q 7. A reduction of 12.5% in the price of a dining table brought down its price to Rs. 4375. The original price
(in Rs.) of the table was:
a) 250 b) 240 c) 300 d) 340
Q 8. It is known that 20% of the mangoes are rotten. If the number of rotten mangoes is 35, then the total
number of mangoes is:
a) 185 b) 175 c) 200 d) 225
Q 9. In a library, 20% books are in Hindi, 50% of the remaining are in English and the remaining 9000 are in
various other languages. What is the total number of books in English?
a) 9000 b) 9200 c) 8000 d) 8200
Q 10. Avinash spends 30% of his income on scooter petrol, of the remaining on house rent and the balance on
food. If he spends Rs.300 on petrol, then what is the expenditure on house rent?
a) Rs 200 b) Rs. 175 c) Rs. 185 d) Rs. 225
Q 12. A man spends 35% of his income on house rent, 75% of the remaining on other items. What percentage of
income does he save?
a) 16.25 b) 16.75 c) 17.25 d) 17.75
Q 15. The quantity of water (in ml) needed to reduce 9 ml shaving lotion containing 50% alcohol to a lotion
containing 30% alcohol, is:
a) 5 ml b) 6 ml c) 7 ml d) 6.2 ml
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Q 16. In an election between two candidates, a candidate who gets 40% of total votes is defeated by 15000 votes.
The number of votes polled by the winning candidate is:
a) 45000 b) 40000 c) 50000 d) 55000
Q 17. In an elections between two candidates, one got 55% of total valid votes. 20% of the votes were invalid. If
the total number of votes was 7500, the number of valid votes that the other candidates got was :
a) 2700 b) 2900 c) 3000 d) 3100
Q 18. The population of a town is 18000. It increases by 10% during first year and by 20% during the second
year. The population after 2 years will be:
a) 23760 b)18900 c) 19800 d) 24600
Q 19. The population of a town increases by 15% annually. If its population was 8000 in1995, what will it be
in
1997 ?
a) 10,850 b) 10, 580 c) 15,850 d) 15,580
Q 20. The population of a city increase at the rate of 5% annually. Its present population is 1,85,220. Its
population 3 years ago was :
a) 1,60,000 b) 1,65,000 c) 1,50,000 d) 1,30,000
Q 23. If the numerator of a fraction is increased by 300% and the denominator is increased by 500%, the resultant
fraction is 5
12. What was the original fraction? (IBPS PO 2015)
a) 8
5 b)
5
11 c)
12
5 d)
5
7 e) None of these
Q 24. Ms. Pooja Pushpan invests 13% of her monthly salary, i.e. Rs 8554 in mediclaim policies, Later she invests
23% of her monthly salary on child. Education Policies; also she invests another 8% of her monthly salary
on Mutual Funds. What is the total annual amount invested by Ms. Pooja Pushpan? (IBPS PO 2015)
a) Rs 28952 b) Rs 43428 c) Rs 34724 d) Rs 173712
e) None of these
Q 25. In a school the number of boys and girls are in the ratio of 4:7. If the number of boys are increased by 25%
and the number of girls are increased 15%. What will be the new ratio of number of boys to yhat of girls?
(IBPS PO/MT Pre 2015)
a) 100:131 b) 100:151 c) 100:161 d) 100:181
e) None of these
Topic 9 :- PROFIT & LOSS
Q.1. Cost of 3 cricket ball = cost of 2 pairs of leg pads
a. Cost of 3 pairs of leg pads = cost of 2 pairs of gloves.
b. Cost of 3 pairs of gloves = cost of 2 cricket bats.
c. If a cricket bat cost Rs 54, what is the cost of a cricket ball.
Q.2. If, by selling an article for Rs.100, a man gains Rs15, then his gain percent is:
Q.3. What is the loss percent if a man loses Rs 10 on selling an article for Rs 100?
Q.4. A shopkeeper sold an article for Rs.2564.36. Approximately what was his profit percent if the cost price
of the article was Rs 2400?
Q.5. When a commodity is sold for Rs 34.80 there is loss of 25%. What is the cost price of the commodity?
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Q.6. A man sold an article for Rs 247.50 thereby gaining 12 1
2 %. The cost of the article was :
Q.7. A retailer buys a radio for Rs225. His overhead expenses are Rs.15. He sells the radio for Rs.300. The
profit percent of retailer is:
Q.8. A shopkeeper bought as article for Rs319.60. Approximately, at what price should he sell the article to
make 25% profits?
Q.9. If the selling price of an article is 4
3 times its cost price, the profit percent is:
Q.10. There would be 10% loss if a toy is sold at Rs10.80 per piece. At what price should it be sold to earn a
profit of 20%?
Q.11. By selling an article for Rs.19.50, a dealer makes a profit of 30%. By how much should he increase his
selling price so as to make a profit of 40%?
Q.12. Rahim buys mangoes at the rate of 3 kg for Rs21 and sells them at 5 kg for Rs 50. To earn Rs102 as profit,
he must sell:
Q.13. If books bought at prices ranging from Rs.200 to Rs.350 are sold at prices ranging from Rs. 300 to Rs.425,
what is the greatest possible profit that might be made in selling eight books?
Q.14. The cost price of 20 articles is the same as selling price of 15 articles. The profit percent in the transaction
is:
Q.15. A man sells 320 mangoes at the cost price of 400 mangoes. His gain percent is.
Q.16. If the cost price of 12 table is equal to the selling price of 16 tables the loss percent is:
Q.17. If the selling price of 18 articles is equal to the C.P. of 21 articles the loss and gain percent is:
Q.18. A man sold 250 chairs and had a gain equal to selling price of 50 chairs. His profit percent is:
Q.19. A fruit seller has 24 kg of apples. He sell a part of these at 20% gain and the balance at a loss of 5%. If on
the whole he earn a profit of 10%, the amount of apples sold at a loss is.
Q.20. A milkman bought 15 kg of milk and mixed 3 kg of water in it. If the price per kg of the mixture becomes
Rs 22, what is cost price of the milk per kg? (IBPS RRB SO 2015)
Q.21. The profit earned after selling an article for Rs 878 is the same as loss incurred after selling the article for
Rs 636. What is the cost price of the article (SBI Bank PO Pre-2015)
Q.22. A person sell two horses for Rs 480 each. On the first horse he gain 25% and on the second horse he losses
25%. Find the percentage gain or loss in the transaction. (SBI PO Pre-2016)
Q.23. A trader gives an additional concession of 35% on an article which is already get discounted by 20% on the
marked price. If the buyer pays an amount of 1300 for the article, then the marked price is (SBI PO Mains-
2016)
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Topic 10 :- SIMPLE & COMPOUND INTEREST
Q.1. At the rate of 6% p.a. simple interest, a sum of Rs.2500 will earn how much interest by the end of 5 years?
Q.2. A person borrowed Rs.500 at the rate of 5% per annum S.I. What amount will he pay to clear the debt after
4 years?
Q.3. If A lends Rs.3500 to B 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in Rs.)
in a period of 3 years is:
Q.4. In what time will Rs.500 give Rs.50 as interest at the rate of 5 % p.a. S.I.?
Q 5. Avinash borrowed Rs.5000 from Sanjay at simple interest. After 3 years, Sanjay got Rs.300 more than
what he had given to Avinash. What was rate of interest per annum?
Q.6. Ashok took a loan of Rs.15000 for 3 years at simple interest. If the total interest paid is Rs. 2700, what is
the rate of interest per annum?
Q 7. The amount of Rs. 7500 at compound interest at 4% per annum for 2 years is: Q 8. If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200 the compound interest
on the same sum for the same period at the same rate, is: Q 9. The difference between the compound interest and the simple interest on a sum of money for 2 years at
12 1
2 % per annum is Rs.150. The sum is:
Q 10 If the difference between the compound interest, compounded half yearly and the simple interest on a
sum at 10% per annum for one year is Rs. 25, the sum is:
Q 11 The compound interest on Rs.20480 at 61
4% per annum for 2 years 73 days, is:
Q 12. A tree increases annually by1
8 th of its height. By how much will it increase after 2 years, if it stands today
64 cm high?
Q 13 The difference between simple interest and compound interests on Rs.1200 for one year at 10% per annum,
reckoned half-yearly is:
Q 14 The difference between simple interest and compound interests on Rs.1600 for one year at 20% per annum,
when compounded half-yearly and quarterly is:
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Topic 11 :- Data Interpretation
Directions(Q.1-5) : Study the following table carefully and answer the questions given below it.
Q.1. In the year 1995 which state had the lowest percent age of candidates selected over the candidates appeared ?
1) A 2) B 3) C 4) D 5) E
Q.2. During which of the following years the passing percentage over appeared in the highest from state D ?
1) 2000 2) 1999 3) 1998 4) 1997 5) None of these
Q.3. Total number of candidates selected from state A is approximately what percentage of the total number of
candidates selected form state B?
1) 72 2) 88 3) 85 4) 75 5) 80
Q.4. During which of the following years the percentage of candidates selected over passed is the lowest for
state B?
1) 1995 2) 1996 3)1998 4)1999 5) None of these
Q.5. What is the ratio between number of candidates passed from state A in 1996 to that from state E in 1999?
1) 6 : 7 2) 14 : 15 3) 13 : 16 4) 12 : 16 5) None of these
Directions(Q.6-10) : Study the following graph carefully and answer the questions given below it.
The number of students who joined and left the school in the beginning of year for six years, from 1993 to
1998. Initial strength of the school in 1992 = 1500
Q.6. What was the increase / decrease in strength of the school from 1994 to 1995 ?
State A B C D E
Year A P S A P S A P S A P S A P S
1995 850 215 25 1050 245 35 990 195 28 1080 300 36 1120 240 40
1996 880 240 20 980 230 30 650 150 28 1150 320 38 960 180 26
1997 750 180 22 1120 210 28 840 180 25 995 280 42 885 177 32
1998 920 290 36 890 190 32 780 160 32 975 260 39 1040 220 30
1999 960 300 32 950 225 40 1020 220 36 888 240 32 980 280 34
2000 820 250 28 1180 200 38 930 215 35 864 216 30 900 228 24
A = Appeared P = Passed S = Selected
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1) Increase by 100 2) Decrease by 100 3) Increase by 200 4) Decrease by 200
5) None of these
Q.7. For which of the following years, the percentagerise/fall in number of students left from the previous years
is the highest?
1) 1994 2) 1995 3) 1996 4) 1997 5)1998
Q.8. How many students were in the school during the year 1996 ?
1) 1495 2) 1600 3) 1550 4) 1700 5) None of these
Q.9. During which of the following pairs of year, the strength of the school is equal ?
1) 1994 and 1995 2) 1995 and 1997
3) 1996 and 1998 4) 1995 and 1998 5) 1993 and 1995
Q.10. The number of students in 1996 is approximately what per cent of the number of students in 1994 ?
1) 85 2)117 3) 95 4) 103 5) 108
Directions(Q.11-15) : Study the following graphs carefully and answer the questions
that follow:
percentage profit earned by two companies over the given years
Q.11. If the income of Company A in 1998 was equal to its expenditure in 2000, what was the ratio between
company’s expenditures in the year 1998 and 2000 respectively ?
1) 29 : 20 2) 20 : 29 3) 19 :20 4) Cannot be determined 5) None of these
Q.12. If the income of Company B in 1999 was Rs 18.6 lakhs and ratio of incomes of Companies A & B in 1999
was 2 : 3, what was the expenditure of company A in 1999 ( in Rs lakhs) ?
1) 2 2) 12.4 3) 7.75 4) 9.75 5) None of these
Q.13. If the total expenditure of the two Companies in 2001 was Rs 18 lakhs and expenditures of Companies A &
B in that year were in the ratio of 4 : 5 respectively, then what was the income of Company B in that year
(in Rs lakh ) ?
1) 8 2) 10 3) 10.4 4) Cannot be determined 5) None of these
Q.14. If the income of Company A in 1999 was equal to the expenditure of Company B in 2000, then what was
the ratio of expenditure of Company A in 1999 to the income of Company B in 2000?
1) 25 : 66 2) 66 : 25 3) 10 : 13 4) 13 : 10 5) None of these
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Q.15. If the total income of Company A in all the year together was equal to the total expenditure of Company B
in all the year together, which was Rs 265 lakhs, what was the total percentage profit earned by Company
A for all the years together ?
1) 45 2) 37 3) 52 4) Cannot be determined 5) None of these.
Directions(Q.16-20) : Study the following graph carefully to answer the questions given below it.Import and
Export of spare parts by an automobile company over the given years
Q.16. During which year the percentage rise/fall in imports from the previous year is the lowest ?
1) 1994 2) 1998 3) 1997 4) 1995 5) None of these
Q.17. What is the ratio of total imports to total exports for all the given years together ?
1) 31 : 35 2) 35 : 31 3) 65 : 63 4) 63 : 65 5) None of these
Q.18. In which of the following pairs of years the total import is equal to total exports in the same pairs of years
?
1) 1996-1997 2) 1993-1998 3) 1998-1999 4) 1995-1996 5) None of these
Q.19. The total exports in the years 1995, 1996 and 1999 together are what percent of the total import during the
same period ? ( up to two decimal places)
1) 107.41 2) 107.14 3) 93.33 4) 93.67 5) None of these
Q.20. Which of the following pairs of years and the percent increase in the exports over the previous year is
correctly matched ?
1) 1996-14.29 2) 1997-10 3) 1995-33.33 4) 1994-11.11 5) None of these
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Directions(Q.21-25) : Study the following graph to answer the given questions. Productions of two companies
A & B over the year (Productions in lakh units)
Q.21. For company A, what is the per cent decrease in production from 1996 to 1995 ?
1) 75 2) 50 3) 25 4) 10 5) None of these
Q.22. In 2001, the production of company B is approximately what per cent of that in 2000?
1) 60 2) 157 3) 192 4) 50 5) 92
Q.23. For company A, in which year is the percentage increase/decrease in the production from the previous year
the highest ?
1)2001 2)1995 3)1999 4)1996 5) None of these
Q.24. What is the difference in the total production of the two companies for the given years ?
1) 2700000 2) 3100000 3) 270000 4) 310000 5) None of these
Q.25. Which of the following is the closest average production (in lakh units) of Company B for the given
years ?
1) 4.1 2) 3.5 3) 4.3 4) 3.75 5) 3.9
Directions (Q. 26-31): Study the following pie-charts and table to answer these questions. State wise Details of
the adult population of a country
Q.26. What is the difference between the Graduate male population and XII Std male population from State ‘A’?
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1) 24,000 2) 14,000 3) 28,000 4) 36,000 5) None of these
Q.27. What is the ratio of the Graduate female population of State E to Std XII female population of State D?
1) 7 : 5 2) 5 : 7 3) 16 : 15 4) 15 : 16 5) None of these
Q.28. The Graduate female population of State C is what per cent of the Std XII female population of that State?
1) 40 2) 62.5 3) 50 4) 52.5 5) None of these
Q.29. The Std XII male population of State C is what percent of the total Std XII population of all the states
together?
1) 8% 2) 12% 3) 11% 4) 9% 5) None of these
Q.30. What is the ratio of the Graduate male population of State E to the Std XII female population of that State?
1) 28 : 35 2) 35 : 28 3) 32 : 45 4) 45 : 32 5) None of these
Q.31. Total Graduate population of State F is what per cent of the total Std XII population of State A?
1) 56 2) 72 3) 68 4) 76 5) None of these
Directions(Q.32-36): Study the table carefully and answer the given questions.
Year
State P State Q
Numbered of the
appeared candidates
Percentage of
appeared
candidates who
qualified
Numbered of the
appeared
candidates
Percentage of
appeared
candidates who
qualified
2006 450 60% -- 30%
2007 600 43% -- 45% 2008 -- 60% 280 60% 2009 480 70% 550 50% 2010 380 --% 400 --
Note: Few values are missing in the table (indicated by -). A candidate is expected to calculate the missing
value, if it is required to answer the given questions on the basis of the given information.
Q 32. Out of the number of qualified candidates from State P in 2008, the respective ratio of male and female
candidates is 11:7. If the number of female qualified candidates from State P in 2008 is 126, what is the
number of appeared candidates (both male and female) from State P in 2008?
A. 630 B. 510 C. 570 D. 650 E. 540
Q 33. Number of Appeared Candidates from State Q increased by 100% from 2006 to 2007. If the total number of
qualified candidates from State Q in 2006 and 2007 together is 408, what is the number of appeared
candidates from State Q in 2006?
A. 380 B. 320 C. 340 D. 360 E. 300
Q 34. What is the difference between number of qualified candidates from State P in 2006 and that in 2007?
A. 12 B. 14 C. 16 D. 18 E. 20
Q 35 If the average number of qualified candidates from State Q in 2008, 2009 and 2010 is 210, what is the
number of qualified candidates from state Q in 2010?
A. 191 B. 195 C. 183 D. 187 E. 179
Q 36. If the respective ratio between number of qualified candidates from State P in 2009 and 2010 is 14:9, what is
the number of qualified candidates from State P in 2010?
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A. 252 B. 207 C. 216 D. 234 E. 198
Directions(Q.37-41): Study the table carefully and answer the given questions.
Data related to number of employees in 5 different companies in December, 2012
Company Total no. of employee
Out of total of employees
Percentages of
Science
Graduates
Percentages of
Commerce
Graduates
Percentages of
Art
Graduates
M 1050 32% -- --
N 700 -- 31% 40%
O -- 30% 30% --
P -- -- 40% 20%
Q -- 35% 50% --
Note I. Employees of the given companies can be categorised only in three types:
Science Graduates, Commerce Graduates and Arts Graduates
II. Few values are missing in the table (indicated by ___). A candidate is expected to calculate the missing
value, if it is required to answer the given questions, on the basis of the given data and information.
Q 37. What is the difference between the number of Arts graduate employees and Science Graduates employees in
Company N?
A. 87 B. 89 C. 77 D. 81 E. 73
Q38. The Average number of Arts graduate employees and Commerce graduate employees in Company Q was 312.
what was the total number of employees in Company Q?
A. 920 B. 960 C. 1120 D. 1040 E. 1080
Q 39. If the respective ratio between the number of Commerce graduate employees and Arts graduate employees in
Company M was 10:7, what was the number of Arts graduate employees in M?
A. 294 B. 266 C. 280 D. 308 E. 322
Q 40. Total number of employees in Company N increased by 20% from December 2012 to 2013, If 20% of the
total number of employees in Company N in December, 2013 was science graduates, what was the number
of Science graduate employees in Company N in December 2013?
A. 294 B. 266 C. 168 D. 252 E. 238
Q 41. Total number of employees in Company P was 3 times the total number of employees in Company O. If the
difference between number of Arts graduate employees in Company P and that in Company O was 180,
what was the total number of employees in Company O?
A. 1200 B. 1440 C. 720 D. 900 E. 1080
Topic 12 :- QUADRATIC EQUATION
1. Directions (1-5): In these questions, two equations numbered I and II are given. You have to solve both
the equations and mark answer.
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(a) X > Y (b) X ≤ Y (c) X < Y (d) X ≥ Y
(e)x=y or Relationship between X and Y cannot be established
(a) X ≥ Y (b) X ≤ Y (c) X < Y (d) X > Y
(e) x=y or Relationship between X and Y cannot be established
(a) X ≥ Y (b) X > Y (c) X ≤ Y (d) X < Y
(e)x=y or Relationship between X and Y cannot be established
(a) X ≥ Y (b) X > Y (c) X ≤ Y (d) X < Y
(e) x=y or Relationship between X and Y cannot be established
(a) X ≥ Y (b) X < Y (c) X > Y (d) X ≤ Y
(e)x=y or Relationship between X and Y cannot be established
2.Directions (6-10): In each of these questions, two equations I and II are given. You have to solve both the
equations and give answer.
(a) x < y
(b) x > y
(c) x ≥ y
(d) x ≤ y
(e) x = y or no relationship can be established between x and y
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3.Directions (11-15): In the following questions, two equations numbered I and II are given. You have to solve
both the equations and give answer.
(a) If x > y (b) If x ≥ y (c) If x < y
(d) If x ≤ y (e) x = y or relationship cannot be established
ANSWERKEY:
1--B, 2--E, 3--B, 4--A, 5--B, 6--A, 7--D, 8--E, 9--B, 10--D, 11--A, 12--B, 13--E,
14--B, 15--D
