# Mixed Quantitative Aptitude Questions For Clerk Mains Set 61

1. Ram’s age after six years will be three-seventh of his father’s age. Ten years ago the ratio of their ages was 1:13. What is Ram’s father’s age at present?
36years
32 years
39 years
42 years
None
Option A
Solution:
10years before the ratio of their ages 1x:13x
After 6yrs Ram’s age will be 3/7th of his father
1x+16=3/7(13x+16)
7x+112=39x+48
32x=64
X=2
So Ram’s father present age is (13*2)+10=36years.
2. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge a chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 4 minutes?
8/21
6/11
5/24
11/19
None
Option B
Solution:
LCM(30, 20, 10)=60
A…. 30…. 2
B…. 20…. 3 ……. (Total 60unit)
C… 10 …. 6
Quantity filled by pipe C in 4 minutes=4*6=24litre
Quantity filled by pipe A,B,C together in 4 minutes=4*(2+3+6)=44litre
Required proportion=24/44=6/11.
3. Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
29
210
26
Cannot be determined
None
Option A
Solution:
When a coin is tossed once, there are two outcomes.
When 10 coins are tossed simultaneously, the outcomes= 210.
Out of these, if the third coin has to turn up a head, then the number of possibilities for the third coin is only 1 as the outcome is fixed as head.
Therefore, the remaining 9 coins can turn up either a head or a tail= 29.
4. The average of runs of a cricket player of 10 innings was 35. How many runes must be made in his next innings so as to increase his average of runs by 5?
86
78
84
90
None
Option D
Solution:
Average after 11 innings = 40(35+5)
Required number of runs =(40*11)-(35*10)
=440-350==>90.
5. A, B and C completed a work costing Rs. 1800. A work for 6 days, B for 4 days and c for 9 days. If their daily wages are in the ratio of 5:6:4, how much amount will be received by A?
Rs550
Rs 600
Rs575
Rs610
None
Option B
Solution:
Ratio of their daily wages = 5:6:4
Total wage = Rs. 1800
6*5x+4*6x+4*9x = 1800. [As A, B, C works for 6, 4, 9 days respectively] Or, 90x = 1500;
Or, x = 1800/90;
Total amount of A,
= 1800*30/90 = Rs. 600.
6. A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
10hrs
12hrs10mins
13hrs20mins
15hrs
Option C
Solution:
LCM 5 8 =40
5… 8unit (filled in 1hr)
8…. 5unit(emptied in 1 hr)
Since both pipes are opened 8-5=3litre filled in 1hr
Cistern filled in 40/3=13 1/3=13hrs20mins.
7. A starts a business with a capital of Rs. 42,000. B joins in the business with Rs.36000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 2 : 1?
4 month
8 month
7month
5 month
None
Option C
Solution:
42000*12 : 36000*x=2:1
42000*12/36000*x=2/1
X=7month.
8. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
19:13
13:19
18:25
25:18
None
Option D
Solution:
Volume of the large cube = (33 + 43 + 53 ) = 216 cm3.
Let the edge of the large cube be a.
So, a3 = 216 ⇒ a = 6 cm.
∴ Required ratio =[(6*32+42+52 )/(6*62)]=50/36=25:18 .
9. A vessel of capacity 2 litre has 25% alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. what is the new concentration of mixture ?
35%
29%
32%
43%
None
Option B
Solution:
Amount of alcohol in first vessel,
= 25% of 2 litre
= 0.25*2 = 0.5 litre
Amount of alcohol in second vessel,
= 40% of 6 litre
= 0.4*6 = 2.4 litre
Total amount of alcohol out of 10 litres of mixture is,
0.5+2.4 = 2.9 litre.
Thus, Concentration of the mixture is,
(2.9*100)/10
= 29%.
10. A is as much younger than B and he is older than C. If the sum of the ages of B and C is 45 years, what is the difference between B and A’s age?
4years
6years
8years
None
Option D
Solution:

## 3 Thoughts to “Mixed Quantitative Aptitude Questions For Clerk Mains Set 61”

1. NM

1)
Ram :F
3…….7…………after 6 yrs
1…….13………10 yrs ago
__________________________
3-1 =2
13-7 =
difference not come same.???

1. Shubhra

This is ratio
For ratio difference cannot be same. Difference will be same in actual ages only.

2. NM

2) in 2nd question R proportion ask for 4 min not for 3……plsss correct the answer