Monday, 5 January 2015

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)
Π 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.



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