IBPS RRB 2016-17 - Quant Quiz-21

1. In a School of X Students ,when Rahul was absent , the number of students could be divided into groups of 6 each If both Ramesh and Vikas were absent ,the remaining could be divided into groups of 6 each. What is the minimum Possible value of X ?

A. 63
B. 37
C. 69
D. 84
E. None of these

Sol. If 1 Student is absent the no. of students should be in the form of 6a + 1
7, 13, 19, 25, 31, 37, 43 …
If 2 Students are absent the no. of students should be in the form of 7b + 2
9, 16, 23, 30, 37, 44 …
So take the common term as 37.

2. Time taken by A and B together to complete a work is equal to the time taken by C and D together to complete that work .Also, time taken by B and C together to complete that work is two times the time taken by A and D together. If B alone can complete the work in 10 days and D alone can complete the work in 5 days, What is the ratio of efficiencies of A , B , C and D ?

A. 1:2:2:1
B. 2:1:1:2
C. 1:1:2:2
D. 2:1:1:1
E. None of these

Sol. P + Q = R + S
Also, Q + R = (P + S)/2
Put P and S value in above two equations
We have P – R = 1/10 & P = 2R
R = 1/10
P = 1/5
Ratio of Efficiencies = 1/5 : 1/10 : 1/10 : 1/5
2 : 1 : 1 : 2

3. In a race of 100 meter , R beats A by 40 meters , and A beats M by 40 meters .If R completes the race in 9 seconds after how much time does M complete the race ?

A. 14 sec
B. 15 sec
C. 25 sec
D. 5  sec
E. 3  sec

Sol. When Ram runs 100m Ananth runs 60 m
Ratio of speeds = 5 : 3
Ratio of speeds of Ananth and Madhavan = 5 : 3
Ratio of their three Speeds = 25 : 15 : 9
Time is inverse to speed , So
1/25 : 1/15 : 1/9
9 : 15 : 25
Madhavan finishes in 25 seconds

4. A car covers a certain distance in 12 hours at a uniform speed .If the speed is increased by 6 km/hr then the same distance would get covered in 7.5 hours. What is the distance covered ?

A. 140 km
B. 150 km
C. 120 km
D. 160 km
E. None of these

Sol. D/7.5 – D/12 = 6
Solve D = 120.

5. Ravi and Arun are partners who share profit and loss in the ratio of 3:1.They agree to take Manish into Partnership on 1/5 th share of profit. The new sharing will be :

A. 4:5:6
B. 3:1:2
C. 5:6:1
D. 3:1:1
E. None of these

Sol. Total profit 100%
Manish = 1/5 = 100/5 = 20%
Ravi and Arun 3/4 : 1/4 remaining 80%
3 * 20 : 1 * 20 : 20
3 : 1 :1

6. 124, 228, 436, _, 1684, 3348

A. 944
B. 852
C. 872
D. 444
E. None of these

Sol. The series is
× 2 - 20, ×2 - 20, × 2 - 20, ….

7. 53, 75, 107, 149, ?, 263

A. 199
B. 200
C. 201
D. 195
E. None of these

Sol. The series is
+ 22, +32 , +42, +52, +62 ….

8. 10, 17, 48, 165, _, 3475, 20892

A. 688
B. 712
C. 848
D. 918
E. None of these

Sol. The series is
×1 + 7, ×2 + 14, × 3 + 21, ×4 + 28 ….

9. 15, 17, 38, 120, 488, _, 14712

A. 2450
B. 2650
C. 2850
D. 2950
E. None of these

Sol. The series is

× 1 + 2, ×2+ 4 , ×3 + 6, × 4 + 8, × 5 + 10

10. 1, 6, 19, _, 85, 146, 231

A. 46
B. 44
C. 48
D. 65
E. None of these

Sol.  6 - 1 = 5
     19 - 6 = 13
     44 - 19= 25
     85 - 44= 41
    146 - 85= 61
    231 - 146=85

     13 - 5 = 8
     25 - 13= 12
     41 - 25= 16
     61 - 41= 20
     85 - 61= 24. 

For more Updates & Notifications for bank exams like SBI PO, SBI CLERK, IBPS PO, IBPS RRB, IBPS CLERK, IBPS SO, NIACL, SSC CHSL, SSC CGL etc. like our facebook page at :