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.

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
if x=y or no relation can be established
Solution:

Q7. 
 if x<y
if x>y
if x≤y
if x≥y
if x=y or no relation can be established
Solution:

Q8. 
 if x<y
if x>y
if x≤y
if x≥y
if x=y or no relation can be established
Solution:

Q9. 
 if x<y
if x>y
if x≤y
if x≥y
if x=y or no relation can be established
Solution:

Q10. 
 if x<y
if x>y
if x≤y
if x≥y
if x=y or no relation can be established
Solution:

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

Q12. 6524.98 ÷ 544.98 × 1.02 =?
21
33
14
12
28
Solution:
? ≃ 6525 ÷ 545 ×1 ?
≃ 12

Q13. 50.045% of 5086 – 3/7 of 899.78 =?
2215
2315
2025
2157
2351
Solution:

Q14. 21 + 4.9 × 7.9 + 9.88 =?
65
71
66
75
81
Solution:
?≃21+5×8+10
?≃71

Q15. 
28
15
35
24
19
Solution:

               

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