Mixed Quantitative Aptitude Questions For Clerk Mains Set 64

January 14, 2018January 14, 2018 Shubhra

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.
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%.
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.
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.
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.
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.
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.
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.
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.
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.