### Find solutions for all the questions at the end of each set:

### Set A

1. Thirty men can complete a work in 36 days. In how many days can 18 men complete the same piece of work?

(1) 48

(2) 36

(3) 60

(4) 72

2. Gaurav spends 50% of his monthly income on household items, 20% of his monthly income on buying clothes, 5% of his monthly income on medicines and saves remaining Rs. 11,250 . What is Gaurav’s monthly income?

(1) Rs. 38,200

(2) Rs. 34,000

(3) Rs. 41,600

(4) Rs. 45,000

3. The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?

(1) 28

(2) 39

(3) 93

(4) Can’t say

4. At present Ayushi is eight times her daughter’s age. Eight years from now, the ratio of the ages of Ayushi and her daughter will be 10 : 3 respectively. What is Ayushi’s present age ?

(1) 32 years

(2) 40 years

(3) 36 years

(4) Can’t say

5. In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand together and all the girls stand together?

(1) 75

(2) 576

(3) 288

(4) 24

6. X can do a piece of work in 20 days and Y can do it in 10 days. They started together, but after 6 days X leaves off. Y will do the rest work in

(1) 1 day

(2) 2 days

(3) 7/3 days

(4) 3 days

7. A radio is sold for Rs 990 at a profit of 10%. What would have been the gain or loss in percentage had it been sold for Rs 880?

(1) 19/3% gain

(2) 17/3% loss

(3) 17% gain

(4) 20/9% loss

8. In an exam, 60% of the total student passed. If the number of failed students is 320 then the total number of students is

(1)600

(2)700

(3)800

(4)900

9. A cycle is bought for Rs 840 and sold at Rs 920. What is the percentage gain

(1)10.50%

(2)8.52%

(3)7.35%

(4)9.52%

10. If sandeep salary is 30% more than Amar’s salary, the how many percent is Amar’s salary less than that of Sandeep’s?

(1)56%

(2)23.07%

(3) 50/3%

(4)50.6%

Answers

1. (3)

Required number of days = (30 * 36)/18 = 60

2. (4)

Let total income of Gaurav be x. Then

(100 – 50 – 20 – 5)% of x = 11250

x = 45000.

3. (3)

Let the number be xy

(10x + y) – (10y + x) = 54

x – y = 6 And x + y = 12

Solving the equations we get x = 9 and y = 3

So the number is 93.

4. (1)

Let the age of Ayushi’s daughter be x. Then Ayushi’s age is 8x.

(8x + 8)/ (x + 8) = 10/3

x = 4

Ayushi present age = 8x = 32 years.

5. (3)

Required number of ways = 4! * 3! * 2! = 288.

6. 1

(X + Y)’s 6 days’ work = 6 * (1/20 + 1/10) = 9/10

Remaining work = 1 - 9/10 = 1/10

1/10 work is done 2y Y in 10 * 1/10 = 1 day

7. 4

Let the CP is Rs x.

Then, x * 110/100 = 990

x = 900

Now CP is Rs 900 and SP is 880.

% loss = 20/900 * 100 = 20/9%

8. 3

Let the number of student is x out of that 40% have failed.

40/100 * x = 320

x = 320 * 100/40 = 800

9. 4

CP = Rs 840 and SP = Rs 920

Gain = 920 – 840 = Rs 80

gain percentage = 80/840 * 100 = 9.52%

10. 2;

Amar’s salary is less than of Sandeep 2y

(R/100 + R * 100)% = (30/(100 + 30) * 100)%

(30/130 *100 )% = 300/13% = 23% APPROX

### Find solutions for all the questions at the end of each set:

### Set B

Directions (1-5): Study the following Pie Graph carefully and answer the questions given below.

Cost estimated by a family in renovation of its house Total cost estimate Rs. 2,40,000

1. During the process of renovation the family actually incurs miscellaneous expenditure of Rs. 20,400. The miscellaneous expenditure incurred by the family is what percent of the total estimated cost?

(a) 9.5

(b) 9

(c) 8.5

(d) 10.5

2. Other than getting the discount of 12% on the estimated cost of furniture and the actual miscellaneous expenditure of Rs. 20,400 instead of the estimated, the family’s estimated cost is correct. What is the total expenditure of the family in renovation of its house (In Rs.)?

(a) 237456

(b) 231852

(c) 239000

(d) 233000

3. What is the difference in the amount estimated by the family on Interior Decoration and Architect Fees (In Rs.)?

(a) 20,000

(b) 19000

(c) 14400

(d) None of these

4. What is the cost estimated by the family on Painting and Flooring together (In Rs.)?

(a) 73000

(b) 69600

(c) 72,000

(d) 69000

5. The family gets a discount on Furniture and pays 12% less than the estimated cost on Furniture. What is the amount spent on furniture (In Rs.)?

(a) 26400

(b) 29052

(c) 27052

(d) 27456

Directions—(6–10) Study the given table carefully to answer the questions that follow—

The following table gives number of people staying in five different localities and the percentage Breakup of Men, Women and Children in them

Locality

Total number of people

Percentage

Men

Women

Children

A

2820

45

30

25

B

1560

35

45

20

C

3600

44

38

18

D

4250

64

26

10

E

4400

38

43

19

6. What is the total number of men and children staying in locality D together ?

(a) 4135

(b) 4315

(c) 1530

(d) 3145

7. The number of women staying in which locality is the highest ?

(a) C

(b) E

(c) A

(d) B

8. What is the total number of children staying in localities C and D together?

(a) 1285

(b) 1065

(c) 1125

(d) None of these

9. What is the respective ratio of number of men staying in locality A to the number of men staying in locality C ?

(a) 171 : 146

(b) 176 : 141

(c) 141 : 176

(d) 146 : 171

10. Total number of people staying in locality E forms approximately what per cent of the total number of people staying in locality A ?

(a) 181

(b) 132

(c) 156

(d) 144

Answers with Solutions (1-5):

1. (c)

Required percentage = 20400/240000 * 100 = 8.5

2. (a)

Estimated Miscellaneous cost = 8% of 240000 = 19200

Total expenditure of family = 240000 – 19200 + 20400 – 12% of 13% of 240000 = 237456

3. (d)

Required difference = (19-11)% of 240000 = 19200

4. (b)

Requires cost = (15+14)% of 240000 = 69600

5. (d)

Amount spent on furniture = (100-12)% of 13% of 240000 = 27456

Solutions (6-10)

Locality

Total number of people

Number of Peoples

Men

Women

Children

A

2820

1269

846

705

B

1560

546

702

312

C

3600

1584

1368

648

D

4250

2720

1105

425

E

4400

1672

1892

836

Total

16630

7791

5913

2926

6. (d)

total number of men and children staying in locality D together = 2720 + 425 = 3145

7. (b)

8. (d)

Total number of children staying in localities C and D together = 648 +425 = 1073

9. (c)

Required ratio = 1269 : 1584 = 141 : 176

10. (c)

Required percentage = 4400/2820 * 100 = 156 (approx)

### Find solutions for all the questions at the end of each set:

### Set C

Direction (1-10):-Look carefully for the pattern, and then choose which pair of numbers comes next.

1. 28 25 5 21 18 5 14

A. 11 5

B. 10 7

C. 11 8

D. 5 10

2. 8 11 21 15 18 21 22

A. 25 18

B. 25 21

C. 25 29

D. 24 21

3. 9 16 23 30 37 44 51

A. 59 66

B. 56 62

C. 58 66

D. 58 65

4. 2 8 14 20 26 32 38

A. 2 46

B. 44 50

C. 42 48

D. 40 42

5. 9 11 33 13 15 33 17

A. 19 33

B. 33 35

C. 33 19

D. 15 33

6. 2 3 4 5 6 4 8

A. 9 10

B. 4 8

C. 10 4

D. 9 4

7. 17 17 34 20 20 31 23

A. 26 23

B. 34 20

C. 23 33

D. 23 28

8. 6 20 8 14 10 8 12

A. 14 10

B. 2 18

C. 4 12

D. 2 14

9. 21 25 18 29 33 18

A. 43 18

B. 41 44

C. 37 18

D. 37 41

10. 75 65 85 55 45 85 35

A. 25 15

B. 25 85

C. 35 25

D. 85 35

Answers with Explanation:-

1. A

Explanation:

This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.

2. B

Explanation:

This is an alternating addition series, with a random number, 21, interpolated as every third number. The addition series alternates between adding 3 and adding 4. The number 21 appears after each number arrived at by adding 3.

3. D

Explanation:

Here is a simple addition series, which begins with 9 and adds 7.

4. B

Explanation:

This is a simple addition series, which begins with 2 and adds 6.

5. A

Explanation:

In this alternating repetition series, a random number, 33, is interpolated every third number into a simple addition series, in which each number increases by 2.

6. D

Explanation:

This is an alternating addition series with a random number, 4, interpolated as every third number. In the main series, 1 is added, then 2 is added, then 1, then 2, and so on.

7. D

Explanation:

This is an alternating subtraction series with repetition. There are two different patterns here. In the first, a number repeats itself; then 3 is added to that number to arrive at the next number, which also repeats. This gives the series 17, 17, 20, 20, 23, and so on. Every third number follows a second pattern, in which 3 is subtracted from each number to arrive at the next: 34, 31, 28.

8. D

Explanation:

This is an alternating addition and subtraction series. In the first pattern, 2 is added to each number to arrive at the next; in the alternate pattern, 6 is subtracted from each number to arrive at the next.

9. D

Explanation:

This is a simple addition series with a random number, 18, interpolated as every third number. In the series, 4 is added to each number except 18, to arrive at the next number.

10. B

Explanation:

This is a simple subtraction series in which a random number, 85, is interpolated as every third number. In the subtraction series, 10 is subtracted from each number to arrive at the next.

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