IBPS Clerk Mains 2016-17 (Important Questions-13)

IBPS Clerk Mains 2016-17 (Important Questions-13)

1. The ratio of number of students to number of teachers is 1:2, but when 2 teachers and 2 students left, the ratio became 1:3. How many people in total were there ?

A. 16
B. 18
C. 15
D. 12
E. None of these

Sol. Lets assume the number of ladies be 'x'.
Then, numbr of students will be '2x'
According to the question,

(x-2)/(2x-2) = 1/3
Solving, we get, x = 4
Thus, total people = x + 2x = 3*4 = 12.

2. The ratio of difference, sum and product of two numbers is 1:7:24, then what is the sum of these two numbers ?

A. 8
B. 10
C. 12
D. 14
E. None of these

Sol. Lets assume the numbers to be x and y.
According to the question, (x-y)/(x+y) = 1/7
Solving, x = 4y/3 

Also given, (x+y)/xy = 7/24
Using x = 4y/3 in above equation and solving,

y = 6
Thus, x = 4*6/3 = 8
Sum = 6+8 = 14.

3. Three friends X, Y and Z earns a total of Rs 1450 and spend 60%, 45% and 70% of thir salaries respectively. If their savings are in the ratio 14:21:15. Find Y's salary ?

A. 800
B. 600
C. 1000
D. 400
E. None of these

Sol. Salary = savings amount/%value of salary
%value of savings are 40, 35 & 30.
Savings of X, Y and Z are 14x, 21x, 15x
Thus, 14x/40 + 21x/35 + 15x/30 = 1450
Solving, x = 1000
Thus, Y's salary = 21x/35 = Rs 600.

4. There is a ratio of 5 : 4 between two numbers. If 40 percent of the first number is 12, then what would be 50 percent of the second number?

A. 12
B. 24
C. 18
D. Data inadequate
E. None of these

Sol. Lets assume the numbers to be 5x, 4x
Thus, 40% of 5x = 12
Solving, x = 6
Thus, 50% of 2nd number = 50% 0f 4x
Soving, = 12.

5. The age of Anil and Sunil are in the ratio of 8 : 7, After 10 years the ratio of their ages will be 13:12. What is the difference in years between their present ages?

A. 4 years
B. 2 years
C. 6 years
D. 8 years
E. None of these

Sol. Diference of the ages will be same always.
Lets assume the ages to be 8x, 7x.
Thus, (8x + 10)/(7x+10) = 13/12
Solving, x = 2
Difference= 8x - 7x = 2 years.

Directions(6-10): What should come in place of question mark(?) in the following :

6. 49.80 % of 750.08 ÷ 11.02 = 56.09 –  ?

A.34
B.16
C.22
D.27
E.None of these

Sol. C.22
50% of 750÷11 = 56 – x
375/11 = 56 – x
34.09 = 56 – x
X = 56 – 34.09 = 21.91 = 22

7. (1064 ÷ 0.95 + 1028 × 0.50) × 11.5 = ?

A.18147
B.12345
C.16780
D.13678
E.None of these

Sol. 1064+514 = 1578
1578*11.5 = 18147.

8. 65.56 × l24 – 312 × 5 = ? % of 2208.05

A.300
B.245
C.312
D.265
E.None of these

Sol. 66*124 – 312*5 = x % of 2208
8184 – 1560 = x% 2208
6624 = x*2208/100
X = 6624*100/2208
X = 300

9. 68.55 ÷ 0.03 + 52.8 ÷ 0.8 – 170 / 0.25 = ?

A.1234
B.1567
C.1671
D.1987
E.None of these

Sol. 6855/3 = 2285
528/8 = 66
170/0.25 = 680
2285+66 – 680 = 1671.

10. (5616÷156)×23.67 = ? ÷ 16.78

A.12388
B.14336
C.18644
D.14688
E.None of these

Sol. 36*24 = 864

864*17 = 14688.

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