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1) Rajeev scored 142 marks in Mathematics. He

scored 80% marks in Hindi and X marks in English.

The maximum marks for each subject is 200. The

overall percentage of marks obtained by Rajeev in

all three subjects together is 70%. How much

marks did Rajeev scored in English?

A.118

B.132

C.146

D.154

E.None of these

2) The total population of a town is 1,75,000. It has

60% females and the rest are males. If 68% of the

females and 59% of the males are non-graduate,

then find the number of the female graduate is how

much percentage more or less than the number of

male graduates in the town? (Approximately).

A.15% less

B.21% less

C.13% more

D.17% more

E.None of these

3) The sum of the monthly salary of Anu and Sunil

is Rs.7000 more than the monthly salary of Bindhu.

The ratio of the monthly salary of Anu and Sunil is

2:5 and the monthly salary of Bindhu is Rs.3500.

The monthly salary of Anu is approximately what

percent of the monthly salary of Bindhu?

A.85.7%

B.88.6%

C.92.5%

D.78.4%

E.None of these

4) The ratio of the number of balls in bag A and B

is 5:7. If the number of balls in bag B is increased

by 20% and the number of balls in bag A and B

together increased by 30%, then the total number

of balls in bag A and B becomes 78. By what

percent did the number of balls in bag A is

increased?

A.40%

B.44%

C.48%

D.52%

E.56%

5) The respective ratio of expenditure of A, B and

C is 30%, 22% and 20%, while the income of A is

same as that of B. Difference between the

expenditure of A and B is Rs. 480 and difference

between the expenditure of C and, A and B

together is 50% of the difference between the

expenditure of A and B together, then find the






income of C. (expenditure of C is less than the

combined expenditure of A and B together)

A.Rs. 3600

B.Rs. 7200

C.Rs. 4800

D.Rs. 14400

E. None of these

6) The price of wheat is increased by 20% and a

family reduced the consumption of that wheat by

10 kg such that their expenditure remained the

same. What is their initial consumption of wheat?

A.40 kg

B.50 kg

C.60 kg

D.80 kg

E.30 kg

7) In a city X, there are 2 schools A and B. 80% of

the students studying in school A out of which 60%

of them are Tamil medium. 25% of the Tamil

medium students are hostellers. Similarly, 50% of

students from school B are Tamil medium out of

which 50% of them are hostellers. If 510 Tamil

medium students have stayed in the hostel from

both the schools together, then find the strength of

school B.

A.700

B.1000

C.800

D.600

E.1400

8) In an MNC company, management announces a

10% hike for the employees who are having

working experience of more than 5 years and a 5%

hike for those who are having less than 5 years of

experience. If the number of employees who are

having more than 5 years of experience is 150 out

of total employees 240, find what percent of the

employees received a 5% hike out of the total

employees.

A.28.1%

B.37.5%

C.43%

D.54%

E.None of these

9) Rishab receives a certain amount from his

father. Out of that, he used 30% for buying a flat,

from the remaining a thief stole Rs.20000 which he

keeps in his pocket. Of the rest, he used 20% on

transport. Further, he purchases a bike for

Rs.1160000, and then he left with only Rs.168000.

What is the amount received by Rishab from his

father?






A.20 lakh

B.24 lakh

C.28 lakh

D.30 lakh

E.32 lakh

10) The number of male employees in the

company is 50% more than the number of female

employees in the company. If the number of

female employees is increased by 40% and the

number of male employees in the company is

increased by 80%, then now the number of female

employees in the company is what percent of the

number of male employees in the company?

A.48.65%

B.51.85%

C.55.83%

D.45.45%

E.59.34%

11) Rahul’s monthly income is Rs.8000. He spends

40% of the income on Shopping and the remaining

in savings. If suddenly Rahul’s income is increased

by Rs.1000 and then he spends the amount on

Shopping and savings in the ratio of 4: 5, then

what is the ratio of Rahul’s money spend on

savings to shopping (both after and before the

increase of his salary)?

A.49: 36

B.25: 16

C.64: 49

D.81: 64

E.None of these

12) There are total 7500 students in a school. The

respective ratio of boys and girls among them is 8:

7. Out of the total number of boys, 30% are in

junior classes and the rest is in senior classes. Out

of the total number of girls, 60% are in

senior classes and the rest is in junior classes.

Find the respective ratio of the number of junior

boys and junior girls in the school.

A.6: 7

B.5: 6

C.4: 5

D.3: 4

E.None of these

13) The headmaster distributed a certain number

of chocolates to students of three different classes

V, VI and VII. Headmaster gave 42(6/7)% of the

chocolates to VII, the remaining 75% of the

chocolates to V and the remaining chocolates gave

class VI. If class VI gets the chocolate is 35, then

find the initial number of chocolate?

A.200






B.225

C.230

D.235

E.None of these

14) In a family, the ratio of expense to savings is 7:

3. But their expense is increased by 30% and

income is increased by 10%, then there is a

decrease of Rs.4800 in their savings. Find the

increased income of the family?

A.Rs.42000

B.Rs.44000

C.Rs.46000

D.Rs.48000

E. None of these

15) 20% of the voters did not cast their vote in an

election between two candidates. 10% of the votes

polled were found invalid. The successful

candidate got 56% of the valid votes and won by a

majority of 1728 votes. The number of voters

enrolled on the voter’s list was?

A.24000

B.22000

C.18000

D.20000

E.None of these

Directions (16-20): Study the following information carefully and answer the given questions:

The given table shows the number of employee works in five different companies and the ratio of the

employees of two different departments-IT and HR.

16) 60% of employees in IT department are female

in A and 40% of employees in HR department are

male in A. Find the total number of female

employees in company A.






A.1800

B.1500

C.2000

D.2400

E.None of these

17) What is the difference between the number of

employees in IT department in all the companies

together and the number of employees in HR

departments in all the companies together?

A.400

B.500

C.600

D.300

E.None of these

18) If the ratio of the number of male to female

employees in all the companies together is 3:2,

then what is the difference between the total

number of male and female employees in all the

companies together?

A.2400

B.2500

C.2600

D.2700

E.None of these

19) The number of employees in IT department in

company C and D together is approximately what

percent of the number of employees in HR

department in company B and E together?

A.224%

B.114%

C.87%

D.90%

E.None of these

20) The total number of IT department employees

in all the companies together is approximately what

percent of the total employees of all the companies

together?

A. 52%

B. 48%

C. 44%

D. 56%

E.None of these

Directions (21-25): Study the following information carefully and answer the given questions:

The given table shows the marks scored by 5 students in 5 different subjects.






21) What is the difference between the total marks

scored by Shon and Esai in all the subjects

together?

A.60

B.80

C.70

D.90

E.None of these

22) What is the sum of the average marks scored

in English by all the students together and the

average marks scored in Hindi by all the students

together?

A.110

B.115

C.120

D.125

E.None of these

23) What is the ratio of the total marks scored in

Maths by all the students together to the total

marks scored in Physics by all the students

together?

A.15:13

B.17:11

C.16:15

D.18:13

E.None of these

24) Total marks scored in Chemistry by all the

students together are approximately what percent

more than the total marks scored by Arul in all the

subjects together?

A.25%

B.27%

C.29%

D.31%

E.None of these






25) What is the difference between the average

marks scored by Divya and Bharathi in all the

subjects together?

A.4

B.10

C.8

D.2

E.None of these

Directions (26-30): Study the following information

carefully and answer the questions given below.

The below table shows the percentage distribution

of the number of students in five different classes

and the ratio of boys to girls in each class

Total number of students in all the classes together

= 240

26) Out of the total number of girl students in class

A, 15% are failed in maths exam, remaining are

passed. Find the total number of girl students in

class A are passed in maths exam.

A.15

B.17

C.19

D.21

E.None of these

27) If the total number of passed students in

classes D and E is 45, then find the ratio of total

number of students in classes A and B together to

the number of failed students in classes D and E.

A.4 : 3

B.2: 7

C.1: 9

D.4: 9

E.None of these

28) The number of boys who are from Kerala in

class D is 20% lesser than the total number of girls

in the class A. Find the number of boys who are

not from Kerala in class D.

A.2

B.3

C.4

D.5

E.None of these






29) The number of girls in class C is what percent

of the number of girls in class D?

A.25%

B.30%

C.35%

D.50%

E.None of these

30) Find the ratio of the number of boys in class D

to the number of girls in class B.

A.3: 4

B.5: 4

C.2: 7

D.3: 7

E.None of these

Directions (31-35): Study the following information

carefully and answer the given questions:

The following table shows the total number of

crops (In quintal) produced by 5 different farmers in

a certain year.

31) The total crops produced by Rakesh are

approximately what percentage of the total crops

produced by Abinav?

A.85 %

B.72 %

C.97 %

D.58 %

E.115 %

32) Find the average crops produced by Ravi?

A.574

B.612

C.656

D.738

E.None of these

33) Find the difference between the average of

Rye produced to that of Oats produced by all the

given farmers together?

A.234

B.156

C.118

D.192

E.None of these

34) Find the ratio between the total mustard

produced to the total wheat produced by all the

farmers?






A.185 : 113

B.397 : 284

C.229 : 175

D.52 : 17

E.None of these

35) Which farmer produced third lowest number of

crops?

A.Ravi

B.Manoj

C.Rakesh

D.Abinav

E.Naveen

Directions (36-43): What value should come in

place of (?) in the following questions?

36) 80% of 4500 + 25% of 1764 =?

A.4275

B.5655

C.4041

D.6383

E. None of these

37) (13310 ÷ 11) + (3/7) of 875 + 172 = 40 % of ?

A.4685

B.5270

C.4340

D.6095

E. None of these

38) 163 × 65611/4× 64 × 43 ÷ (83 × 242) = 2?

A.5

B.7

C.11

D.9

E.None of these

39) 65% of 80 + √3969 * √144 +? = 45 * √324

A.3

B.1

C.2

D.4

E.5

40) 215 *? =78 % of 550 + 180 * √64 + 11 * 6

A.8

B.9

C.7

D.10

E.11

41) (740 +?) * 35 – 122 =145% of 60 + 97 * √49

A.-689

B.-692

C.-714

D.-726






E.-729

42) 43% of 800 + 50% of 74 – 350% of 112 + 5%

of 7880=?

A.424

B.415

C.398

D.383

E.395

43) 60% of 300 – 180 ÷ 6 + (2/3) * 150 – 2.5 * 80=?

A.50

B.40

C.60

D.70

E.30

Directions (44-50): What approximate value should

come in the place of question mark in the given

questions?

44) √1025.02 - (19.04)2 + 56.98 =?

A.-272

B.-252

C.-240

D.-310

E.-342

45) 13.78 % of 3048 – (5/9.21) of (7/2.5) of 71 =

23.2 +?

A.356

B.378

C.414

D.292

E.480

46) 13 4/5 + 8 1/10 – 11 2/5 + 16 3/10 = ? – 3 4/5

A.31

B.42

C.26

D.53

E.18

47) 279.908 + 1499.897 ÷ 29.912 * 11.11=? +

82.210 * 3.908

A.502

B.506

C.512

D.510

E.489

48) 69.904 % of 129.998 + 19.879 * 4.102 - 25.021

% of 443.934=?

A.40

B.48

C.56






D.60

E.68

49) 44.44 % of 198.109 + √224.98 * 2.087 –

218.190=?

A.-120

B.-110

C.-100

D.-90

E.-130

50) 89.902 % of 29.982 + √530.12 * 4.90=? +

12.12 * 9.90

A.22

B.19

C.25

D.18

E.29

Directions (51-55): What value should come in

place of (?) in the following number series?

51) 73, 100, 131, 178, 289, ?

A.472

B.536

C.618

D.656

E.828

52) 1524, 764, 384, 194, 99,?

A.78.75

B.66.5

C.58.25

D.72.5

E.51.5

53) 24, 23, 38, 87, 284, ?

A.1856

B.1295

C.1927

D.2138

E.2370

54) 372, 368, 358, 330, 248, ?

A.12

B.56

C.4

D.78

E.30

55) 12, 86, 226, ?, 830, 1372

A.462

B.478

C.456

D.469

E.472






Directions (56-60): Find the wrong term in the

following number of series?

56) 327, 326, 162, 53.5, 12.25

A.326

B.162

C.12.25

D.53.5

E.327

57) 128, 238, 372, 526, 708, 918

A.238

B.526

C.708

D.918

E.372

58) 7, 25, 60, 115, 187, 277

A.187

B.277

C.25

D.60

E.115

59) 45, 101, 143, 175, 193, 205

A.101

B.205

C. 175

D.193

E.143

60) 120, 180, 450, 650, 1687.5, 2531.25

A.650

B.180

C.1687.5

D.450

E.2531.25

Directions (61-70): In the following questions, two

equations I and II are given. You have to solve

both equations and give answer as

61)

I) x2 + 13x – 48 = 0

II) y2 – 16y – 57 = 0

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y

E. If x = y or the relation cannot be established

62)

I) 3x2 – 27x + 54=0

II) y2 – 15y + 56=0

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y







63)

I) x2 + ∛35937 = 522 – 122 % of 1500

II) y2 – 6y – 55 = 0

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y


64)

I) x2 + 16x + 63=0

II) y2 + 24y + 143=0

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y


65)

I) x2 – 23x + 132 =0

II) 3y2 – 39y + 66=0

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y


66)

I) 2x + y – 20=0

II) y2 – 21=√1849

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y


67)

I) x + y = 45

II) x – 2y = 15

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y


68)

I) 4x + 132=1156

II) 5y = 15625

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y


69)






I.9x2 – 29x + 22 = 0

II.6y2 – 31y + 39 = 0

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y


70)

I) 3x2 – 24x + 48=0

II) y2 – 14y + 45=0

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y


Answer with Detail Explanation

1) Answer: A

Given,

142 + 200 * (80 / 100) + X = 200 * 3 * (70 / 100)

142 + 160 + X = 420

X = 420 – 142 – 160 = 118

Rajeev’s English score = 118

2) Answer: D

Number of females in the town = 1,75,000 ×

60/100 = 1,05,000

Number of males in the town = 1,75,000 – 1,05,000

= 70,000

Now, the number of female graduates = 1,05,000 ×

(100 – 68)/100

= 1,05,000 × 32/100

= 33,600

And the number of male graduates = 70,000 ×

(100 – 59)/100

= 70,000 × 41/100

= 28,700

Thus, the required percentage is = (33,600 –

28700)/28,700 × 100

= 4900/28,700 × 100 ≈ 17%

3) Answer: A

Bindhu = Rs.3500

Anu = 2x

Sunil = 5x

2x + 5x – 3500 = 7000

7x = 10500

x = 1500

Anu = 2 * 1500 = 3000






Required percentage = 3000/3500 * 100 = 85.7%

4) Answer: B

Initially, the total number of balls in bag A and B =

100/130 * 78 = 60

Number of balls in bag A = 60 * 5/12 = 25

Number of balls in bag B = 60 * 7/12 = 35

After increased the balls in bag B = 35 * 120/100 =

42

After increased the balls in bag A = 78 – 42 = 36

Required percentage = (36 – 25)/25 * 100

= (11/25) * 100

= 44%

5) Answer: D

Let the income of A = 100a

Income of B = 100a

According to the question,

30% of 100a – 22% of 100a = 480

8% of 100a = 480

Then, a = 60

Income of A = Income of B = 6000

Expenditure of (A + B) = 30% of 6000 + 22% of

6000 = 3120

Expenditure of C = 3120 – 50% of 480 = 2880

Income of C = 2880/20 x 100 = 14400

6) Answer: C

Price of wheat = Rs.x per kg

Consume of wheat = y kg

Expenditure = Rs.xy

xy = 120/100 * x * (y – 10)

y = 6/5 * (y – 10)

y = 60

7) Answer: D

Let, the total number of students in both the

schools together =100x

Number of students studying in school A =80x

Number of Tamil medium hostellers from school A

= 60% of 25% of 80x

=12x

Number of Tamil medium hostellers from school B

= 50% of 50% of 20x

= 5x

Total Tamil medium hostellers from both the

schools together = 510

12x+5x =510

17x =510

x =30

Total strength of school B = 20x = 600

8) Answer: B

No. of employees who received 5% hike = 240 –

150 = 90

Required % = 90/240 * 100 = 300/8 = 37.5%






9) Answer: B

Received amount = 100x

Money used to buy a flat = 100x * 30/100 = 30x

Remaining amount = 100x – 30x = 70x

Money remaining after theft = 70x – 20000

Money remaining after using transport = 80/100 *

(70x – 20000)

80/100 * (70x – 20000) – 1160000 = 168000

56x – 16000 – 1160000 = 168000

x = 24000

Required amount = 24000 * 100 = Rs.2400000

= 24 lakh

10) Answer: B

Initial Number of female employees = 100x

Number of male employees = 100x * 150/100 =

150x

Number of female employees after increasing 40%

= 100x * 140/100 = 140x

Number of male employees after increasing 80% =

150x * 180/100 = 270x

Required percentage = 140x/270x * 100 = 51.85%

11) Answer: A

Shopping = 8000 * 40/100 = 3200

Savings = 8000 * 60/100 = 4800

After increasing, the salary = 9000

Shopping = 4/9 * 9000 = 4000

Savings = 5/9 * 9000 = 5000

Required ratio = (5000 + 4800): (4000 + 3200)

= 9800: 7200

= 49: 36

12) Answer: A

Total number of students = 7500

Total number of boys = 8/15 x 7500 = 4000

Total number of girls = 7/15 x 7500 = 3500

Number of junior boys = 30/100 x 4000 = 1200

Number of junior girls = (100 – 60)/100 x 3500

= 40/100 x 3500

= 1400

Required ratio = 1200: 1400 = 6: 7

13) Answer: E

Total number of chocolate = x

Number of chocolate gets by VII= 300/700 * x = 3/7

* x

Remaining chocolate = 4/7 * x

Number of chocolate gets by V = 4/7 * x * 75/100

Number of chocolate gets by VI = 4/7 * x * 25/100

= 35

x/7 = 35

x = 245

14) Answer: D

Expense/Savings = 7/3






Let, Income = 10 units

Increased income = 10 * 110/100 = 11 units

Increased Expense = 7 * 130/100 = 9.1 units

New savings = 11 – 9.1 = 1.9 units

Difference between the savings = 3 – 1.9 = 1.1

units

1.1 unit = Rs.4800

11 unit = Rs.48000

15) Answer: D

The successful candidate got 56% of the valid

votes and won by a majority of 1728 votes.

(56% - 44%) of the valid votes = 1728

12% of the valid votes = 1728

According to the question,

20% of voters didn’t cast their votes and 10 % of

the votes are invalid. So,

= > (80/100)*(90/100)* total voters = 1728*(100/12)

= > Total voters = (1728*10*10*100) / (8*9*12) =

20000

Directions (16-20):

16) Answer: A

Female employees in IT department=60/100 *

1400=840

Female employees in HR department=1600 *

60/100=960

Total number of female employees in A=840 +

960=1800

17) Answer: B

Total employees in IT department=1400 + 1500 +

2000 + 500 + 1600=7000

Total employees in HR department=1600 + 1000 +

1200 + 1500 + 1200=6500

Required Difference=7000 – 6500=500

18) Answer: D

Male employee in A=3000 * 3/5=1800

Female employees in A=3000 * 2/5=1200

Male employee in B=2500 * 3/5=1500

Female employees in B=2500 * 2/5=1000

Male employee in C=3200 * 3/5=1920

Female employees in C=3200 * 2/5=1280

Male employee in D=2000 * 3/5=1200

Female employees in D=2000 * 2/5=800

Male employee in E=2800 * 3/5=1680

Female employees in E=2800 * 2/5=1120

Total number of male employees =1800 + 1500 +

1920 + 1200 + 1680=8100






Total number of female employees =1200 + 1000 +

1280 + 800 + 1120=5400


19) Answer: B

Required percentage=(2000 + 500)/(1000 + 1200)

* 100

=114%

20) Answer: A

Total employees in IT department=1400 + 1500 +

2000 + 500 + 1600=7000

Total number of employees=3000 + 2500 + 3200 +

2000 + 2800=13500

Required percentage= [(7000/13500)] * 100=52%

Directions (21-25):

21) Answer: B

Total marks scored by Shon=(70 + 50 + 60 + 40 +

80)=300

Total marks scored by Esai=(60 + 20 + 30 + 20 +

90)=220


22) Answer: C

Average in English=(70 + 90 + 40 + 60 + 20)/5=56

Average in Hindi=(20 + 70 + 80 + 60 + 90)/5=64

Required Sum=56 + 64=120

23) Answer: B

Total Marks in Maths=90 + 80 + 70 + 40 + 60=340

Physics=0 + 40 + 60 + 90 + 30=220

Required ratio=340:220

=17:11

24) Answer: C

Total marks in Chemistry=25 + 80 + 50 + 90 +

20=265

Total marks scored by Arul=90 + 25 + 0 + 70 +

20=205

Required percentage= [(265 – 205)/205] *

100=29%

25) Answer: A

Total marks scored by Divya=(40 + 90 + 90 + 60 +

60)/5=68

Total marks scored by Bharathi=(80 + 80 + 40 + 90

+ 70)/5=72


Directions (26-30):

26) Answer: B

Girls in A = 1/3 * 25/100 * 240 = 20

Total number of girl students is passed in maths

exam in class A

= (100 – 15)/100 * 20 = 17






27) Answer: A

Total number of students in D and E = (15 +

30)/100 * 240 = 108

Failed in D and E = 108 – 45 = 63

Total number of students in A and B = (25 +

10)/100 * 240 = 84

Required ratio = 84: 63 = 28: 21= 4 : 3

28) Answer: C

Girls in A = 1/3 * 25/100 * 240 = 20

Kerala Boys in D = 80/100 * 20 = 16

Non Kerala Boys in D = 5/9 * 15/100 * 240 – 16 =

20 – 16 = 4

29) Answer: D

Girls in C = 1/6 * 20/100 * 240 = 8

Girls in D = 4/9 * 15/100 * 240 = 16

Required % = 8/16 * 100 = 50%

30) Answer: B

Boys in D = 5/9 * 15/100 * 240 = 20

Girls in B = 2/3 * 10/100 * 240 = 16

Required Ratio = 20: 16 = 5: 4

Directions (31-35):

31) Answer: C

The total crops produced by Rakesh

= > 640 + 920 + 340 + 900 + 300 = 3100

The total crops produced by Abinav

= > 200 + 1050 + 280 + 840 + 820 = 3190

Required % = (3100/3190)*100 = 97 %

32) Answer: A

The average crops produced by Ravi

= > (750 + 660 + 250 + 560 + 650)/5

= > 2870/5 = 574

33) Answer: D

The average of Rye produced by all the given

farmers together

= > (640 + 480 + 750 + 200 + 260)/5

= > 2330/5

The average of Oats produced by all the given

farmers together

= > (340 + 180 + 250 + 280 + 320)/5

= > 1370/5

Required difference = (2330/5) – (1370/5)

= > 960/5 = 192

34) Answer: B

Total mustard produced by all the farmers

= > 920 + 580 + 660 + 1050 + 760 = 3970

Total wheat produced by all the farmers

= > 300 + 440 + 650 + 820 + 630 = 2840

Required ratio = 3970 : 2840 = 397 : 284






35) Answer: A

Total number of crops produced by Rakesh

= > 640 + 920 + 340 + 900 + 300 = 3100

Total number of crops produced by Manoj

= > 480 + 580 + 180 + 600 + 440 = 2280

Total number of crops produced by Ravi

= > 750 + 660 + 250 + 560 + 650 = 2870

Total number of crops produced by Abinav

= > 200 + 1050 + 280 + 840 + 820 = 3190

Total number of crops produced by Naveen

= > 260 + 760 + 320 + 720 + 630 = 2690

Ravi has produced third lowest number of crops.

Directions (36-43):

36) Answer: C

80% of 4500 + 25% of 1764 =?

4/5 * 4500 + ¼ * 1764 =?

3600 + 441 =?

4041 =?

37) Answer: A

(13310/11) + (3/7)*875 + 289 = (40/100)*x

1210 + 375 + 289 = 2x/5

1874*(5/2) = x

X = 4685

38) Answer: D

163 × 65611/4 × 64 × 43 ÷ (83 × 242) = 2x

(16*16*16*9*64*43)/(8*8*8*24*24) = 2x

8*43 = 2x

23*(22)3 = 2x

23*26 = 2x

29 = 2x

X = 9

39) Answer: C

65% of 80 + √3969 * √144 +? = 45 * √324

52 + 63 * 12 +? =45 * 18

808 +? =810

?=2

40) Answer: B

215 * ?=78 % of 550 + 180 * √64 + 11 * 6

215 * ?=429 + 1440 + 66

?=9

41) Answer: C

(740 +?) * 35 – 122 =145% of 60 + 97 * √49

(740 +?) * 35 – 144=87 + 679

(740 +?) * 35=910

?=-714

42) Answer: D

43% of 800 + 50% of 74 – 350% of 112 + 5% of

7880=?

344 + 37 – 392 + 394=?

383=?






43) Answer: A

60% of 300 – 180 ÷ 6 + (2/3) * 150 – 2.5 * 80=?

180 – 30 + 100 – 200=?

50=?

Directions (44-50):

44) Answer: A

√1025.02 - (19.04)2 + 56.98 =?

32 – 361 + 57 =?

- 272 =?

45) Answer: D

14 % of 3050 – (5/9) of (7/2.5) of 72 = 23 + x

(14/100)*3050 - (5/9)*(7/2.5)*72 = 23 + x

427 – 112 – 23 = x

X = 292

46) Answer: A

13 4/5 + 8 1/10 – 11 2/5 + 16 3/10 = x – 3 4/5

14 + 8 – 11 + 16 + 4 = x

X = 31

47) Answer: A

279.908 + 1499.897 ÷ 29.912 * 11.11=? + 82.210 *

3.908

280 + 50 * 11=? + 328

502=?

48) Answer: D

69.904 % of 129.998 + 19.879 * 4.102 - 25.021 %

of 443.934=?

91 + 80 – 111=?

60=?

49) Answer: C

44.44 % of 198.109 + √224.98 * 2.087 –

218.190=?

88 + 30 – 218=?

?=-100

50) Answer: A

89.902 % of 29.982 + √530.12 * 4.90=? + 12.12 *

9.90

27 + 115=? + 120

?=22

Directions (51-55):

51) Answer: D

The difference of difference is, 41, 42, 43, 44,…






The answer is, 656

52) Answer: E

1524 ÷ 2 + 2 = 764

764 ÷ 2 + 2 = 384

384 ÷ 2 + 2 = 194

194 ÷ 2 + 2 = 99

99 ÷ 2 + 2 = 51.5

The answer is, 51.5

53) Answer: B

The pattern is,

24 *1 – 13= 23

23*2 – 23 = 38

38*3 – 33 = 87

87*4 – 43 =284

284*5 – 53=1295

The answer is, 1295

54) Answer: C

The pattern is, 372- (31 +1) = 368

368 - (32 +1) = 358

358 - (33 +1) = 330

330 - (34 +1) = 248

248 - (35 +1) = 4

The answer is, 4

55) Answer: A

12 + 43 + 10=86

86 + 53 + 15=226

226 + 63 + 20=462

462 + 73 + 25=830

830 + 83 + 30=1372

Directions (56-60):

56) Answer: D

The correct series is,

327, 326, 162, 53, 12.25

The pattern is,

(327 - 1)/1 = 326

(326 - 2)/2 = 162

(162 - 3)/3 = 53

(53 - 4)/4 = 12.25

The wrong term is, 53.5

57) Answer: E

The pattern is,

128+112 – 11=238

238 +122 – 12=370

370 +132 – 13=526

526 +142 – 14=708

708 +152 – 15=918

The wrong term is, 372

58) Answer: D

7 + 18=25






25 + 36=61

61 + 54=115

115 + 72=187

187 + 90=277

59) Answer: C

45 + (82 – 8) = 101

101 + (72 – 7) = 143

143 + (62 – 6) = 173

173 + (52 – 5) = 193

193 + (42 – 4) = 205

60) Answer: A

120 * 1.5 = 180

180 * 2.5 = 450

450 * 1.5 = 675

675 * 2.5 = 1687.5

1687.5 * 1.5 = 2531.25

Directions (61-70):

61) Answer: E

I) x2 + 13x – 48 = 0

(x + 16) (x – 3) = 0

X = -16, 3

II) y2 – 16y – 57 = 0

(y – 19) (y + 3) = 0

Y = 19, -3

Can’t be determined

62) Answer: C

3x2 – 27x + 54=0

3x2 – 18x – 9x + 54=0

3x(x – 6) – 9(x – 6 =0

(3x – 9)(x – 6)=0

x=3, 6

y2 – 15y + 56=0

y2 – 7y – 8y + 56=0

y(y – 7) – 8( y – 7)=0

(y – 8)(y – 7)=0

y=8, 7

Hence x < y

63) Answer: E

I) x2 + ∛35937 = 522 – 122 % of 1500

X2 = 2704 – (122/100)*1500 – 33

X2 = 2704 – 1830 – 33

X2 = 841

X = 29, -29

II) y2 – 6y – 55 = 0

(y – 11) (y + 5) = 0

Y = 11, -5

Can’t be determined

64) Answer: A

x2 + 16x + 63=0

x2 + 9x + 7x + 63=0






x(x + 9) + 7(x + 9)=0

(x + 7) (x + 9)=0

x=-7, -9

y2 + 24y + 143=0

y2 + 11y + 13y + 143=0

y(y + 11) + 13(y + 11)=0

(y + 13)(y + 11)=0

y=-13, -11

Hence x>y

65) Answer: B

x2 – 23x + 132=0

x2 – 11x – 12x + 132=0

x(x – 11) – 12(x – 11)=0

(x – 12)(x – 11)=0

x = 12, 11

3y2 – 39y + 66=0

3y2 – 33y – 6y + 66=0

3y(y – 11) – 6(y – 11)=0

(3y – 6)(y – 11)=0

y=2, 11

x≥y

66) Answer: E

y2 – 21=√1849

y2 – 21=43

y=8, -8

If y=8 means

2x + 8 – 20=0

2x = 12

x=6

If y=-8 means

2x – 8 – 20=0

2x=28

x=14

y=-8, 8

x=14, 6

Relationship cannot be established between x and

y.

67) Answer: A

x + y =45 ------(1)

x – 2y =15 -----------(2)

(1) – (2)

3y=30

y = 10

x = 45 – 10=35

Hence, x > y

68) Answer: C

4x + 132 = 1156

4x = 1024

4x = (4)5

x = 5

5y = 15625

5y = (5)6






y = 6

Hence, x < y

69) Answer: C

I. 9×2 – 29x + 22 = 0

x = (-18/9), (-11/9)

x = 2, 11/9

II. 6y2 – 31y + 39 = 0

y = (-18/6), (-13/6)

y = 3, 13/6

Hence x< y

70) Answer: C

3x2 – 24x + 48=0

3x2 –12x – 12x + 48=0

3x(x – 4) – 12(x – 4)=0

(3x – 12)(x – 4)=0

x=4, 4

y2 – 14y + 45=0

y2 – 9y – 5y + 45=0

y(y – 9) – 5(y – 9)=0

(y – 5)(y – 9)=0

y=5, 9

x < y






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