# Mixed Quantitative Aptitude Questions For Clerk Mains Set 64

1. Find the average increase rate, if increase in the population in the first year is 40% and that in the second year is 20%.
38
36
29
34
None
Option D
Solution:
Let the population be 100.
Then 100 * 140/100 * 120/100 = 168.
Increment is 68%
Average increment is 68/2 = 34.
2. A trader mixes three types of tea in the ratio 4 : 3 : 5 costing 15 rupees per kg., 20 rupees per kg. and 30 rupees per kg. respectively. He sells the mixture at 25 rupees per kg. Find his profit percentage
11 1/9%
12%
10 2/3%
14%
None
Option A
Solution:
Let the quantity of three types of tea were 4x, 3x and 5x.
Total SP=12x*25=300x
Total CP =4x*15 + 3x*20 + 5x+30=270x.
Profit %ge = (300x-270x) / 270x *100
=(30x/270x )* 100
=100/9=11 1/9%.
3. In a town, the population was 4000. In one year, male population increased by 10% and female population increased by 5% but the total population increased by 7.5%. Initially the number of males in the town was
1800
2000
2100
2150
None
Option B
Solution:
Let the no of male population be x
Then female population=(4000-x)
x*110/100 + (4000-x)*105/100=4000*107.5/100
5x/100+ 4200=4300
x=2000.
4. 15 years ago the ratio of the age of A and B is 5:4. 12 years hence the ratio of ages of A and B will be 14 : 13. Find the ratio of their present ages:
9:10
11:9
10:9
9:11
None
Option C
Solution:
Let 15 years ago the ages of A and B be 5x and 4x.
(5x+15+12)/(4x+15+12) = 14/13
(5x+27)/(4x+27)=14/13
65x+(27*13) = 56x +(27*14)
9x=27
x=3.
Present ages of A and B be 30:27=10:9.
5. Sajiya, Sharifa and Yashmitha invested Rs. 10000, Rs. 12000 and Rs. 8000 respectively in a business. Sajiya left after six months. If after ten months, there was a gain of Rs. 1820, then what will be the share of Yashmitha?
Rs530
Rs650
Rs480
Rs560
None
Option D
Solution:
Sajiya : Sharifa : Yashmitha
10*6 : 12*10 : 8*10=3:6:4
13(6+4+3)…….. 1820
4 …………….. ?==>Rs 560.
6. One fill pipe A is 4 times efficient than second fill pipe B and takes 33 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?
9min
8.8min
9.4min
8.5min
None
Option B
Solution:
Pipe A:B=4:1
Difference (4-1) 3 ……… 33
………. 4 …….. ?==>44min
…………… 1 ………….. ?==>11min
1min work of A and B is
1/11+1/44=5/44
Then time=44/5=8.8min.
7. The difference between the length and breadth of a rectangle is 20m. If its perimeter is 100 m, then its area is:
525m2
495m2
510m2
444m2
None
Option A
Solution:
l-b=20
Perimeter 2(l+b)=100
Then l+b=50
Solving both equation l=35m and b=15m.
Area=35*15=525m2.
8. A man buys a chair and table for Rs. 6000. He sells the chair at a loss of 10% and the table at gain of 10%. He still gains Rs. 100 on the whole. Cost price of chair is
Rs1800
Rs2500
Rs2200
Rs2400
None
Option B
Solution:
If the CP of the chair be Rs. x then,
Total SP = (x*90)/100+((6000-x)*110/100);
9x+66000-11x = 61000;
2x = 66000-61000 = 5000;
x = Rs. 2500.
9. Two cards are drawn together from a pack of 52 cards. The probability that one is a heart and one is a Spade, is:
199/1214
169/1326
146/1251
128/1435
None
Option B
Solution:
(13C1*13C1)/52C2
=(13*13)/(26*51)
=169/1326.
10. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Rs587
Rs546
Rs624
Rs698
None
Option D
Solution:
S.I. for 1 year = Rs. (854 – 815) = Rs. 39.
S.I. for 3 years = Rs.(39 * 3) = Rs. 117.
Therefore Principal = Rs. (815 – 117) = Rs. 698.

## One Thought to “Mixed Quantitative Aptitude Questions For Clerk Mains Set 64”

1. jaga

THANK U MAM