IBPS RRB 2016-17 - Quant Quiz-3

1. A man can swim 20km upstream in 5 hours and his speed in still water is 6km/hr. Then how long will he take to cover a distance of 80 km downstream ?

A. 12
B. 10
C. 8
D. 15
E. None of these

2. Sheila ties a rope to her belly with other end tied to the pole. She walks 55m in circular path around the pole tracing out 63 degrees at the center. How long is the rope ?

A. 60
B. 50
C. 40
D. 70
E. None of these

3. Ramesh sold a t-shirt for Rs 1000 at 25% profit and a jeans at 20% loss which he bought for Rs 1500. Find his net loss/profit % ?

A. 3.25% loss
B. 3.25% profit
C. 4.35% loss
D. 4.35% profit
E. None of these

4. Two pipes X and Y can fill the tank in 60 hrs and 30 hrs respectively. There is an outlet C which can empty the tank in 30 hrs. After 10 hrs of filing the tank, the outlet C is opened. How much time will be taken to fill the tank ?

A. 30
B. 40
C. 25
D. 45
E. None of these

5. 3 persons X, Y and Z went on a picnic. X has 5 sandwiches and Y has 3 sandwiches. These were shared by all there equally and Z as his share paid Rs 4 to be shared by X and Y. What will Y receive ?

A. Rs 1.5
B. Rs 0.5
C. Rs 2.5
D. Rs 3.5
E. None of these

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

6. 7, 16, 34, 61, 97, ?

A. 142
B. 154
C. 148
D. 164
E. None of these

7. 8, 2, 2, 4.5, 18, ?

A. 112.5
B. 122.5
C. 134.2
D. 142.5
E. None of these

8. 8 4.5 5.5 13 56 ?

A. 556
B. 456
C. 436
D. 526
E. 480

9. 9, 11, 16, 33, 98, ?

A. 326
B. 336
C. 331
D. 340
E. 355

10. 13, 18, 32, 56, 91, ?

A. 135
B. 139
C. 144
D. 138
E. 149

1. Upstream speed = 20/5 = 4km/hr
   Speed of the stream = 6 - 4 = 2 km/hr
 
   Downstream speed will be = 6 + 2 = 8km/hr

Thus, time taken to cover 80km downstream = 80/8 = 10 hrs.

2. 2*(22/7)*r*63/360 = 55

Thus, length of the rope = r = 50m.

3. S.P. of t-shirt = Rs 1000  and profit = 25%
Thus, C.P. of t-shirt will be = 1000/1.25 = Rs 800

C.P. of jeans = Rs 1500  and  Loss = 20%
Thus, S.P. of jeans will be = 1500*0.8 = Rs 1200

Total S.P. = 1000+1200 = 2200
Total C.P. = 800+1500 = 2300

Loss% = [(2300-2200)/2300]*100 = 4.35%

4. Fraction of tank filled in 10 hrs = 10*(1/60 + 1/30) = 1/2
   Fraction left = 1 - 1/2 = 1/2

Fraction filled in 1 hr when all 3 operating = 1/60 + 1/30 - 1/30 = 1/60
Time to fill the left part = 60*(1/2) = 30 hrs

Thus total time taken to fill the tank = 30+10 = 40 hrs.

5. Total sandwiches = 5+3 = 8
    Each get = 8/3

   Since Z paid Rs 4 for 8/3 sandwiches.
   Cost of 8/3 sandwiches = Rs 4
   Cost of each sandwich = (4/8)*3 = Rs 1.5

   Extra sandwiches on Y = 3 - 8/3 = 1/3
   Y to be paid for 1/3 sandwich = (1/3)*1.5 = Rs 0.5

6. 7 + 9*1, 16 + 9*2, 34 + 9*3, 61 + 9*4, ..

7. *0.5^2, *1^2, *1.5^2, *2^2, *2.5^2,

8. 8*0.5 + 0.5 = 4.5
   4.5*1 + 1 = 5.5
   5.5*2 + 2 = 13; 13*4 + 4 = 56; 56*8 + 8 = 456

9. 11 – 9 = 2
    16 – 11 = 5
    33 – 16 = 17;( 5 – 2 = 3; 17 – 5 = 12(3*4))….

10. 18 – 13 = 5
      32 – 18 = 14
      56 – 32 = 24; 14 – 5 = 9; 24 – 14 = 10