Quantitative Aptitude for IBPS RRB PO and Clerk Mains: 16th September 2018

Q1. Three taps P, Q, R when opened alternatively for 1 minute each, can fill a tank in 18 minutes. Time taken by P alone is 5 minutes more than Q and R take together. Find the time taken by Q alone to fill the tank, if R is 20% less efficient than Q.
(a) 16 minutes
(b) 22 ½ minutes
(c) 18 minutes
(d) 15 minutes
(e) 27.5 minutes

Q2. Ratio between length of two trains X & Y is 3 : 4 and both the trains are running at the speed of 81 km/hr and 108 km/hr respectively. If both the trains are running in the opposite direction, they crossed each other in 8 sec, then find in what time both trains will cross each other when running in same direction?
(a)48 sec
(b)56 sec
(c)44 sec
(d)42 sec
(e)40 sec

Q3. Two vessels contain a mixture of spirit and water in the ratio of 5 : 3 and 5 : 4 respectively. If 40 liter mixture from first vessel taken out and mixed in second vessel, so new ratio of spirit and water in second vessel becomes 25 : 19. Find an initial quantity of mixture in second vessel?
(a) 150 li
(b) 160 li
(c) 180 li
(d) 140 li
(e) 120 li

Q4. There are three groups of children in a school i.e. A, B and C. In group A, there are (x + 2) girls and x boy. In group B, there are 2 boys and 2 girls, whereas in group C, there are 1 girl and 2 boys respectively. One child is selected at random from each group. Find the value of x, if the probability of selecting 1 girl and 2 boys is 3/8. 
(a) 2
(b) 3
(c) 1
(d) 4
(e) 5

Q5. Present average age of A, B, C and D is 25 years. Sum of age of A and B is 150% of sum of age of C and D. Ratio of age of B to age of C is 3 : 5. Calculate 10 years later age of A,  if B and D are of same age.
(a) 45 years
(b) 40 years
(c) 35 years
(d) 55 years
(e) 50 years

Directions (6-10): Pie-chart shown below shows percentages of bikes sold by six Hero dealers.
Table shows the ratio of three type of bikes out of total bikes sold by different dealers. Study the data carefully and answer the following questions: 
                 
Q6. What is the difference between the number of Shine bikes sold by dealers S and E together and the number of CT Deluxe bikes sold by dealers Q and U together?  
(a) 360 
(b) 420 
(c) 540 
(d) 480 
(e) 440 

Q7. The number of Shine and Splendor bikes together sold by dealer P is what percent of the number of Splendor and CT Deluxe bikes together sold by dealer S? 
(a) 90% 
(b) 80% 
(c) 75% 
(d) 60% 
(e) 50%

Q8. What is the average number of Splendor bikes sold by dealers P, Q, S and T together?  
(a) 670 
(b) 710 
(c) 690 
(d) 650  
(e) 720

Q9. What is the ratio of the number of Splendor and CT Deluxe bikes sold together by dealer Q to that by dealer T?   
(a) 11 : 7 
(b) 7 : 11 
(c) 5 : 8 
(d) 8 : 5 
(e) 11: 13

Q10. Out of six dealers, which dealer sold the minimum number of CT Deluxe?   
(a) Q
(b) R
(c) S
(d) T
(e) P

Directions (11-15): What should come in place of the question mark (?) in the following questions?
Q11.   7960 + 2956 – 8050 + 4028 = ?
(a) 6984
(b) 6884
(c) 6894
(d) 6954
(e) 6784

Q12.   25 × 3.25 + 50.4 ÷ 24 = ?
(a) 84.50
(b) 83.35
(c) 83.53
(d) 82.45
(e) 93.35

Q13.   350% of ? ÷ 50 + 248 = 591
(a) 4900
(b) 4890
(c) 4850
(d) 4950
(e) 6400

Q14.   1/2 of 3842 + 15% of ? = 2449
(a) 3520
(b) 3250
(c) 3350
(d) 3540
(e) 110

Q15.   (833.25 – 384.45) ÷ 24 = ?
(a) 1.87
(b) 20.1
(c) 2.01
(d) 18.7
(e) 17.8

SOLUTIONS

S1. Ans.(c)
Sol.
When P, Q and R are opened alternatively for 1 minutes each, time taken by them is 18 minutes. If all of them are opened simultaneously, they will fill tank 3 times faster. Hence time taken by each of them = 18/3 = 6 minutes.
Tank filled by them in 1 minute when all of them are opened together = 1/6
Let Q and R together takes x minutes 
∴ A will take x + 5 minutes
Now

S5. Ans.(d)
Sol.
If average age of A, B, C and D is 25 years, then total age of A, B, C and D is 100 years.
Also, if C + D = 2x
Then A + B = 3x [A + B is 150% of C + D] 
5x = 100
x = 20
A + B = 60 …(i)
C + D = 40 …(ii) 
Now, in question ratio of B : C is given as 3 : 5. 
This is also ratio of D : C, as B and D are of same age. From (ii)
We can calculate
C = 25 years
D = 15 years
& Hence B = 15 years
∴ A = 45 years
10 years later age of A is 45 + 10 + 55 years. 

S11. Ans.(c)
Sol. ? = 7960 + 2950 + 4028 – 8050 
⇒ ? = 14944 – 8050 = 6894

S12. Ans.(b)
Sol. 25 × 3.25 + 50.4 ÷ 24
= 24 × 3 + 25 × 0.25 + 2.1
= 75 + 6.25 + 2.1 = 83.35