# IBPS Clerk Pre Quant 29/10/2018

**Q1. If two pipes work simultaneously, a tank is filled in 12 hours. One pipe fills the tank 10 hours faster than the other. How many hours does the faster pipe alone take to fill the tank?**

15 hours

18 hours

20 hours

12 hours

14 hours

Solution:

Faster Pipe = x hours → x + 10 unit per hour

Slower pipe = x + 10 hours → x unit per hour

According to question,

12(x+10)+12x = x (x+10)

x = 20

So, faster pipe alone takes 20 hours to fill the tank.

Slower pipe = x + 10 hours → x unit per hour

According to question,

12(x+10)+12x = x (x+10)

x = 20

So, faster pipe alone takes 20 hours to fill the tank.

**Q2. Two trains start at the same time from position 1st and 2nd towards each other and after crossing each other, they take 9 hours and 4 hours in reaching at positions 2nd and 1st, respectively. Find the ratio of speeds of the train starting from 1st position to that of the 2nd position train.**

2 : 3

3 : 2

2 : 5

5 : 3

5 : 7

**Q3. How many five-letters containing 2 vowels and 3 consonants can be formed using the letters of the word EQUALITY so that 2 vowels occur together?**

1260

1000

1150

1152

1252

**Q4. A is twice as good a workman as B and B is twice as good a workman as C. If A and B can together finish a piece of work in 4 days, then C can do it by himself in**

6 days

8 days

12 days

24 days

16 days

**Q5. Two trains P and Q start at the same time from two stations A and B respectively which are 200 km apart and travelling towards each other meet at a distance of 150 km from station A. What is the ratio of speed of train P to train Q?**

3 : 1

1 : 4

1 : 2

4 : 1

5 : 2

**Directions (6-10): Two equations I and II are given below in each question. You have to solve these equations and give answer**

**Q6.**

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Q7.**

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Q8.**

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Q9.**

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Q10.**

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Directions (11-15): What should come in place of question mark(?) in the questions given below (you are not expected to get exact values)?**

**Q11. 3739.98 + 164.89 × 29.95 =?**

10540

8800

8690

6900

6300

Solution:

? ≃ 3740 + 165 × 30

≃ 8690

≃ 8690

**Q12. 6524.98 ÷ 544.98 × 1.02 =?**

21

33

14

12

28

Solution:

? ≃ 6525 ÷ 545 ×1
?

≃ 12

≃ 12

**Q13. 50.045% of 5086 – 3/7 of 899.78 =?**

2215

2315

2025

2157

2351

**Q14. 21 + 4.9 × 7.9 + 9.88 =?**

65

71

66

75

81

Solution:

?≃21+5×8+10

?≃71

?≃71

**Q15.**

28

15

35

24

19

## No comments