# 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