IBPS Clerk Mains 2016-17 (Important Questions-12)

IBPS Clerk Mains 2016-17 (Important Questions-12)

1. A sum of money is to be divided among X, Y and Z in the ratio 7:12:18. If the total share of X and Y is Rs 500 more than Z's share. What is X's share ?

A. 3000

B. 3500

C. 4000

D. 4500

E. None of these

Sol. Lets assume X, Y and Z shares are 7x, 12x and 18x.

Then, 7x + 12x = 18x + 500

Solving, x = Rs 3,500

2. A person invested Rs 4400 in two parts one at 6% and the other at 10% rate of interest. If his overall gain is 9%, find the money invested at 10% interest. 

A. 4400

B. 3300

C. 5500

D. 3500

E. 6000

Sol. Ratio of money invested at 6% and 10% is (10-9)/(9-6) = 1:3

Hence, money invested at 10% interest = 3*4400/4 = 3300.

3. The average age of P and Q is 20 years. If R were to replace P, the average would be 19 and if R were to replace Q, the average would be 21. What are the age of P, Q and R?

A. 22, 18, 20

B. 20, 20, 18

C. 18, 22, 20

D. 18, 20, 22

E. None of these

Sol. Sol.  Given P + Q = 40  

 R + Q = 38    

 P + R = 42    

 Adding all the three equations we have, 

 P + Q + R = 60   

 Solving these equations, we have,

 R = 20 years, Q = 18 years and P = 22 years

4. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for?

A. 160 

B. 175

C. 180 

D. 195

E. None of these

Sol. Suppose the man works overtime for x hours.

Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

160 x 2.40 + x X 3.20 = 432

3.20x = 432 - 384 = 48

x = 15.

Hence, total hours of work = (160 + 15) = 175.

5. If the length, breadth and height of a cuboid is increased by 10%, 20%, 30% respectively. Then find the percentage increase in the volume of the cuboid?

A. 71.6%

B. 60%

C. 171.6%

D. Can’t be determined

E. None of these

Sol. Initial volume = l * b * h. Increased volume will be equal to 1.1l *1.2b *1.3h = 1.716lbh. Therefore percentage increase in volume will be given by the expression ((1.716 -  1)  *lbh)/lbh*100 = 71.6%.

Directions(6-10): What should come in place of (_) in the following series:

6. 16, 27, 44, _, 96,131

A.64

B.72

C.67

D.69

E.None of these

Sol. 16 + 11 = 27

     27 + 17 = 44

     44 + 23 = 67

     67 + 29 = 96

     96 + 35 = 131

7. 43 , 52, 34, 61, _, 70

A.29

B.20

C.22

D.25

E.None of these

Sol. 43+(9*1) = 43+9 = 52

52-(9*2) = 52-18=34

34+(9*3) = 34+27 = 61

61-(9*4) = 61-36 = 25

25+(9*5) = 25+45 = 70

8. 512, 514, _, 556, 612

A.526

B.512

C.524

D.528

E.None of these

Sol. 512 + 2 = 514

514+12 = 526    (12-2 =10+8 = 18+12 =30)

526+30 = 556    (18+8 = 26+30 = 56)

556+56 = 612

9. 213, 220, _, 697, 1761.5

A.337

B.397

C.376

D.341

E.None of these

Sol. 213*1+7 = 220

220*1.5+11 = 330+11 = 341

341*2+15 = 682+15 = 697

697*2.5+19 = 1742.5+19 = 1761.5

10. 3, 14, 23, 34, 47, _

A.63

B.64

C.67

D.62

E.None of these

Sol. 1*2+1 = 2+1 = 3

3*4+2 = 12+2 = 14

4*5+3 = 20+3 = 23

5*6+4 = 30+4 = 34

6*7+5 = 42+5 = 47

7*8+6 = 56+6 = 62. 

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