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

### Set A

1. Half of 100 articles were sold at a profit of 20% and the rest at a profit of 40%. If all the articles had been sold at a profit of 25%, the total profit would have been Rs. 100 less than earlier profit. The cost price of each article was

(1) Rs. 10

(2) Rs. 15

(3) Rs. 20

(4) Rs. 30

2. The marked price of a clock is Rs. 3200. It is to be sold at Rs. 2448 at two successive discounts. If the first discount is 10%. Then the second discount is

(1) 5%

(2) 10%

(3) 15%

(4) 20%

3. A dealer marks his goods 30% above his cost price and then allows 15% discount on it. What is the cost price of an article on which he gains Rs. 84?

(1) Rs. 800

(2) Rs. 560

(3) Rs. 373.33

(4) Rs. 280

4. A shopkeeper wishes to give 5% commission on the marked price of an article but also wants to earn a profit of 10%. If his cost price is Rs. 95, then the marked price is

(1) Rs. 100

(2) Rs. 110

(3) Rs. 120

(4) Rs. 130

5. Krishnamurthy earns Rs. 15000 per month and spends 80% of it. Due to pay revision, his monthly income has increased by 20%, but due to price rise, he has to spend 20% more, His new savings are

(1) Rs. 3400

(2) Rs. 3000

(3) Rs. 4600

(4) None of these

6. Two numbers are respectively 121/2% and 25% more than a third number. The first number is how much per cent of the second number?

(1) 90

(2) 87.5

(3) 25

(4) 12.5

7. Population of a town increases 2.5% annually but is decreased by 0.5% every year due to migration. What will be the percentage of increase in 2 years?

(1) 5

(2) 4.04

(3) 4

(4) 3.96

8. 72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one of Biology or Mathematics and 40 students took both of these subjects, the total number of students in the class is

(1) 200

(2) 240

(3) 250

(4) 320

9. A and B enter into partnership with capitals in the ratio 5 : 6. At the end of 8 months A withdraws his capital. They received profits in the ratio 5 : 9. B invested the capital for

(1) 6 months

(2) 8 months

(3) 10 months

(4) 12 months

10. The compound interest on Rs. 6250 at 12% per annum for 1 year, compounded half-yearly is

(1) Rs. 772.50

(2) Rs. 772

(3) Rs. 672.50

(4) Rs. 672

Answers Key

1.(3)

2.(3)

3.(1)

4.(2)

5.(4)

6.(1)

7.(2)

8.(3)

9.(4)

10.(1)

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

### Set B

1. Rs. 180 contained in a box consists of one rupee, 50 paise and 25 paise coins in the ratio 2 : 3 : 4. What is the number of 50 paise cons?

(1) 60

(2) 120

(3) 150

(4) 180

2. Suman can do a work in 3 days. Sumati can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Suman?

(1) Rs. 30

(2) Rs. 60

(3) Rs. 70

(4) Rs. 75

3. Three taps A, B and C and fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternatively, the tank will be full in:

(1) 6 hours

(2) 6 1/2 hours

(3) 7 hours

(4) 7 1/2 hours

4. 5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it?

(1) 4

(2) 5

(3) 6

(4) 8

5. A can do a piece of work in 12 days and B can do it in 18 days They work together for 2 days and then A leaves. How long will B take to finish the remaining work ?

(1) 6 days

(2) 8 days

(3) 10 days

(4) 13 days

6. A train is travelling at the rate of 45 km/hr. How many seconds, it will take to cover a distance of 4/5 km?

(1) 36

(2) 64

(3) 90

(4) 120

7. A person travels 600 km by train at 80 km/hr, 800 km by ship at 40 km/hr. 500 km by aeroplane at 400 km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance?

(1) 65 5/123 km/hr

(2) 60 km/hr

(3) 60 5/123 km/hr

(4) 62 km/hr

8. A train 100 m long is running at the speed of 30 km/hr. The time (in second) in which it will pass a man standing near the railway line is:

(1) 10

(2) 11

(3) 12

(4) 15

9. Two men are standing on opposite ends of a bridge of 1200 metres long If they walk towards each other at the rate of 5m/minute and 10m/minute respectively. In how much time will they meet each other?

(1) 60 minutes

(2) 80 minutes

(3) 85 minutes

(4) 90 minutes

10. An aeroplane covers a certain distance at a speed of 240 km. per hour in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:

(1) 300 km/hr

(2) 360 km/hr

(3) 600 km/hr

(4) 720 km/hr

Answers Key

1.(2)

2.(2)

3.(3)

4.(2)

5.(4)

6.(2)

7.(1)

8.(3)

9.(2)

10.(4)

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

### Set C

1. A 4-digit number is formed by repeating a 2-digit number such as 2525, 3232, etc. Any number of this form is always exactly divisible by:

(1) 7

(2) 11

(3) 3

(4) smallest 3 digit prime number

2. A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is:

(1) 0

(2) 1

(3) 2

(4) 3

3. In an examination, a student was asked to find 3/14 of a certain number, By mistake, he found 3/4 of it. His answer was 150 more than the correct answer. The given number is:

(1) 500

(2) 280

(3) 240

(4) 180

4. How many numbers less than 1000 are multiples of both 10 and 13?

(1) 9

(2) 8

(3) 6

(4) 7

5. A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is:

(1) 0

(2) 1

(3) 2

(4) 3

6. If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their squares is:

(1) 12

(2) 28

(3) 80

(4) 160

7. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32,….. is:

(1) 33

(2) 34

(3) 36

(4) 37

8. In a school, the average age of students is 6 years, and the average age of 12 teachers is 40 years. If the average age of the combined group of all the teachers and students is 7 years, then the number of students is:

(1) 396

(2) 400

(3) 408

(4) 416

9. Out of four numbers, the average of first three number is thrice the fourth number. If the average of the four numbers is 5, the fourth number is:

(1) 4.5

(2) 5

(3) 2

(4) 4

10. The average of three numbers is 77. The first number is twice the second and the second number is twice the third. The first number is:

(1) 33

(2) 66

(3) 77

(4) 132

Answer Key

1. (4)

2. (2)

3. (2)

4. (4)

5. (4)

6. (4)

7. (2)

8. (1)

9. (3)

10.(4)