# Quant Quiz

**1. If the compound interest on an amount of Rs. 29000 in two years is Rs. 9352.5, what is the rate of interest?**

(1) 11

(2) 9

(3) 15

(4) 18

(5) None of these

**2. Three friends A, B and C start running around a circular stadium and complete a single round in 8, 18 and 15 seconds respectively. After how many minutes will they meet again at the starting point for the first time?**

(1) 12

(2) 6

(3) 8

(4) 15

(5) 18

**3. The perimeter of a square is equal to the radius of a circle having area 39424 sq cm, what is the area of square?**

(1) 1225 sq cm

(2) 441 sq cm

(3) 784 sq cm

(4) Can’t say

(5) None of these

**Directions—(Q. 4 and 5) Study the following information carefully to answer the questions that follow—**

*A committee of five members is to be formed out of 5 Males, 6 Females and 3 Children. In how many different ways can it be done if—?*

**4. The committee should consist of 2 Males, 2 Females and 1 Child?**

(1) 450

(2) 225

(3) 55

(4) 90

(5) None of these

**5. The committee should include all the 3 Childs?**

(1) 90

(2) 180

(3) 21

(4) 55

(5) None of these

**6. 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

(5) None of these

**7. Ram 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 Ram’s monthly income?**

(1) Rs. 38,200

(2) Rs. 34,000

(3) Rs. 41,600

(4) Rs. 45,000

(5) None of these

**8. 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) 82

(4) Can’t say

(5) None of these

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

(1) 32 years

(2) 40 years

(3) 36 years

(4) Can’t say

(5) None of these

**10. 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

(5) None of these

ANSWERS

1. (3)

P = 29000 CI = 9352.5 N = 2 years A = P + I = 38,352.5

Substituting the values in

A = P(1 + R/100)^n

Solving we get R = 15%.

2. (2)

The required time will be the LCM of 8, 18 and 15 which is 360 sec or 6 minutes.

3. (3)

Î R^2 = 39424

R = 112

Perimeter of square = 4a = 112

Side of square = 112/4 = 28

Area of square = 28^2 = 784 cm2.

4. (1)

Number of ways = 5C2 * 6C2 *3C1 = 450

5. (4)

Number of ways = 11C2 * 3C3 = 55.

6. (3)

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

7. (4)

Let total income of Ram be x. Then

(100 – 50 – 20 – 5)% of x = 11250

x = 45000.

8. (5)

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.

9. (1)

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

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

x = 4

Geeta’s present age = 8x = 32 years.

10. (3)

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