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

### Set A

1. Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17. The remainder will be

(1) 13

(2) 11

(3) 7

(4) 4

2. The side discount, which is equivalent to three successive discounts of 25%, 20% and 10%, is

(1) 55%

(2) 54%

(3) 46%

(4) 45%

3. The value of an equipment depreciates by 20% each year. How much less will the value of the equipment be after 3 years?

(1) 48.8%

(2) 51.2%

(3) 54%

(4) 60%

4. In an examination, 93% of students passed and 259 failed. The total number of students appearing at the examination was

(1) 3700

(2) 3850

(3) 3950

(4) 4200

5. A sum of money lent at simple interest amounts to Rs. 880 in 2 years and to Rs. 920 in 3 years. The sum of money (in rupees) is

(1) 700

(2) 760

(3) 784

(4) 800

6. At a certain rate of simple interest, a certain sum of money becomes double of itself in 10 years. It will become treble of itself in

(1) 15 years

(2) 18 years

(3) 20 years

(4) 30 years

7. A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work?

(1) 16

(2) 15

(3) 12

(4) 10

8. Working efficiencies of P and Q for completing a piece of work are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio

(1) 3 : 2

(2) 2 : 3

(3) 3 : 4

(4) 4 : 3

9. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?

(1) 72

(2) 84

(3) 108

(4) 120

10. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr. then the speed (in km/hr) of the boat in still water is

(1) 12

(2) 9

(3) 8

(4) 6

Answers Key

1.(3)

2.(3)

3.(1)

4.(1)

5.(4)

6.(3)

7.(1)

8.(4)

9.(4)

10.(2)

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

### Set B

1. A man bought an old typewriter for Rs. 1200 and spent Rs. 200 on its repair. He sold it for Rs. 1680. His profit per cent is:

(1) 20%

(2) 10%

(3) 8%

(4) 16%

2. An item costing Rs. 840 was sold by a shopkeeper at a gain of 10% and it was again sold by the new buyer at a loss of 5%. Final selling price of the item is:

(1) Rs. 877.80

(2) Rs. 798

(3) Rs. 924

(4) Rs. 37.80

3. 100 oranges are bought for Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

(1) 15% loss

(2) 15% gain

(3) 14 2/7% loss

(4) 14 2/7% profit

4. A merchant fixes the sale price of his goods at 15% above the cost price. He sells his goods at 12% less than the fixed price. His percentage of profit is:

(1) 2 1/2

(2) 1 1/5

(3) 1 1/2

(4) 2

5. A train 800 metres long is running at the speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in metres) is:

(1) 77200

(2) 500

(3) 1300

(4) 13

6. A man covered a certain distance at some speed. Had he moved 3 km per hour faster, he would have taken 40 minutes less. If he had moved 2 km per hour slower, he would have taken 40 minutes more. The distance (in km) is:

(1) 20

(2) 35

(3) 36(2/3)

(4) 40

7. A man rows a boat 18 kilometers in 4 hours downstream and returns upstream in 12 hours. The speed of the stream (in km per hour) is:

(1) 1

(2) 1.5

(3) 2

(4) 1.75

8. Two trains one 160 m and the other 140 m long are running in opposite directions on parallel rails, the first at 77 km an hour and the other at 67 km an hour. How long will they take to cross each other?

(1) 7 seconds

(2) 7 1/2 seconds

(3) 6 seconds

(4) 10 seconds

9. In an examination 70% of the candidates passed in English. 80% passed in Mathematics. 10% failed in both the subjects. If 144 candidates passed in both, the total number of candidates was:

(1) 125

(2) 200

(3) 240

(4) 375

10. 8% of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was:

(1) 21000

(2) 23500

(3) 22000

(4) 27500

Answers Key

1.(1)

2.(1)

3.(4)

4.(2)

5.(2)

6.(4)

7.(2)

8.(2)

9.(3)

10.(4)

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

### Set C

1. The HCF and LCM of two numbers are 18 and 378 respectively. If one of the numbers is 54, then the other number is

(1) 126

(2) 144

(3) 198

(4) 238

2. If the percentage of profit calculated on selling price of an article is 20, percentage of profit calculated on cost price will be

(1) 16

(2) 24

(3) 25

(4) 28

3. If the cost price of 10 chairs be equal to selling price of 16 chairs, then the loss percent is

(1) 9.6

(2) 17.5

(3) 20

(4) 37.5

4. Two numbers are in the ratio 3 : 5. If each number is increased by 10, then ratio becomes 5 : 7. The smaller number is

(1) 9

(2) 12

(3) 15

(4) 25

5. A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash is

(1) 10.5

(2) 15

(3) 9

(4) 8.5

6. A number is increased by 10% and then it is decreased by 10%. The net changed in the number is

(1) no increase or decrease

(2) 2% decrease

(3) 1% increase

(4) 1% decrease

7. A man travelled a distance of 61 km in 9 hours partly on foot at the rate of 4 km/hr and partly on bicycle at the rate of 9 km/hr. The distance travelled on foot was

(1) 12 km

(2) 16 km

(3) 20 km

(4) 24 km

8. If the simple interests on a certain sum of money at 5% per annum for 4 years and 3 years differ by Rs. 42, the sum (in Rs.) is

(1) 840

(2) 820

(3) 800

(4) 760

9. An amount of Rs. 6,000 lent at 5% per annum compound interest for 2 years will become

(1) Rs. 600

(2) Rs. 6,600

(3) Rs. 6,610

(4) Rs. 6,615

10. The average age of 9 students and their teacher is 16 year. The average age of the first four students is 19 years and that of the last five is 10 years. The teacherâ€™s age is

(1) 36 years

(2) 34 years

(3) 30 years

(4) 28 years

Answers Key:

1. (1)

2. (3)

3. (4)

4. (3)

5. (1)

6. (4)

7. (2)

8. (1)

9. (4)

10. (2)