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

### Set A

1.The monthly income of a person was Rs. 13,500 and his monthly expenditure was Rs. 9,000. Next year his income increased by 14% and his and his expenditure increased by 7%. The per cent increase in his saving was

(1) 7

(2) 21

(3) 28

(4) 35

2.In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what per cent of the group can speak both the languages ?

(1) 38%

(2) 62%

(3) 28%

(4) 23%

3.In an election between two candidates, the candidate getting 60% of the votes polled, is elected by a majority of 14,000 votes. The number of votes polled by the winning candidate is

(1) 28,000

(2) 32,000

(3) 42,000

(4) 46,000

4.Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively, Both pipes are opened. The cistern will be filled just in half an hour, if the pipe B is turned off after:

(1) 15 minutes

(2) 10 minutes

(3) 5 minutes

(4) 9 minutes

5.A certain number of men can do a work in 60 days. If there were eight more men, it could be completed in 10 days less. How many men were there in the beginning?

(1) 70

(2) 55

(3) 45

(4) 40

6.A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be:

(1) 40

(2) 140

(3) 100

(4) 120

7.There are Rs. 225 consisting of one rupee, 50 paise and 25 paise coins. The ratio of their numbers in that order is 8 : 5 : 3. The number of one-rupee coins is:

(1) 80

(2) 112

(3) 160

(4) 172

8.A sum of money lent out at simple interest amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is:

(1) Rs. 500

(2) Rs. 600

(3) Rs. 700

(4) Rs. 710

9.Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then, sum of the digits in N is:

(1) 4

(2) 5

(3) 6

(4) 8

10.A man plants 5184 orange trees in his garden and arranges them, so that there are as many rows as there are orange trees in a row. How many rows are there in the garden?

(1) 70

(2) 72

(3) 75

(4) 81

Answers Key:

1.(3)

2.(2)

3.(3)

4.(4)

5.(4)

6.(2)

7.(3)

8.(2)

9.(1)

10.(2)

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

### Set B

1.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 :

(1) 5 days

(2) 7 5/6 days

(3) 10 days

(4) 15 2/3

2.Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively, If both pipes are opened together, the time taken to fill the tank is :

(1) 50 minutes

(2) 12 minutes

(3) 25 minutes

(4) 15 minutes

3.If 6 men and 8 boys can do a piece of work in 10 days and 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys to do the same type of work will be :

(1) 5 days

(2) 4 days

(3) 6 days

(4) 7 days

4.If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km per hr, how early from the fixed time will he reach?

(1) 15 minutes

(2) 25 minutes

(3) 50 minutes

(4) 1 1/2 hours

5.A boy rides his bicycle 10 km at an average speed of 12 km per hr and again travels 12 km at an average speed of 10 km per hr his average speed of the entire trip is approximately:

(1) 10.4 km/hr

(2) 10.8 km/hr

(3) 11.0 km/hr

(4) 12.2 km/hr

6.The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr Another train starts from B at 9 a.m. and travels towards A at 75 km/hr At what time do they meet?

(1) 10 a.m.

(2) 10 : 30 a.m.

(3) 11 : 00 a.m.

(4) 11 : 30 a.m.

7.The square root of a positive number less than 100 lies between:

(1) 0 and 1000

(2) 0 and 10

(3) – 10 and 10

(4) – 100 and 100

8.The LCM of two numbers is 864 and their HCF is 144. If one of the numbers is 288, the other number is :

(1) 576

(2) 1296

(3) 432

(4) 144

9.A boy was asked to multiply a certain number by 50. He multiplied it by 30 and got his answer less than the correct one by 400. The number to be multiplied was :

(1) 10

(2) 20

(3) 30

(4) 40

10.In a class 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent. What part of the total number of students are present?

(1) 23/30

(2) 23/36

(3) 18/49

(4) 17/25

Answers and Solution:

1.(3)

2.(2).

Required time = 1/(1/20+1/30)

= 1/((3+2)/60) = 60/5 = 12 Minute

3.(2) According to question :-

(6m + 8B)×10=(26m + 48B) ×2

∴ 60m + 80B = 52m + 96 B

or, 1 M = 2 B

∴ 15 M + 20 B = (30 + 20)B

= 50 boys and 6m + 8B = (12 + 8) boys = 20 boys

20 boys can finish the work in 10 days

∴ 50 boys can finish the work = (20×10)/50 = 4dasy.

4.(3) Time taken to cover 20 km at speed 5 km/hr

= 4 hours

∴ Fixed time = 4 hour – 40 minutes = 3 hour 20 min

Time taken to cover 20 km at the speed 8 km/hr =20/8

= 2 hours 30 minute

∴ Required time = 3 hours 20 minutes – 2 hr 30 min

= 50 minutes

5.(2)

6.(3)

7.(2)

8.(3)Required Number = (864×144)/288=432

9.(2)Let the required number be x

∴ According to question

50 x – 30x = 400

20 x = 400

∴ x = 20

10.(1)