# Mixed Quantitative Aptitude Questions Set 71

1. A’s monthly income is two times B’s monthly income. B’s monthly income is 20% more than C’s monthly income. C’s monthly income is Rs. 25,000. What is A’s monthly income?
Rs55000
Rs45000
Rs60000
Rs40000
None
Option C
A’s Monthly income=25000*120/100*2
=Rs60000.

2. Present ages of P and Q are in the ratio 5: 6 respectively. 8 years hence the ratio becomes 7 : 8. What is the sum of the present ages of P and Q?
44yrs
32yrs
40yrs
36yrs
None
Option A
Let the ratio be 5x and 6x
(5x+8) / (6x+8) =7/8
x=4
Their ages 20 and 24
Sum=20+24=44yrs.

3. A mixture of milk and water contains 10% water. What quantity of pure milk should be added to 24 liters of mixture to reduce water to 4%?
29liters
36liters
32liters
25liters
None
Option B
Quantity of pure milk=[24*(10-4)] / 4
=(24*6) /4
=36liters.

4. The daily work of 2 men is equal to that of 3 women or that of 4 youngsters. By employing 14 men, 12 women, and 12 youngsters a certain work can be finished in 24 days. If it is required to finish it in 14 days and as an additional labour, only men are available, how many of them will be required?
25
22
15
20
None
Option D
Here 2M=3W=4Y
2M=3W➔ W=2/3M
2M=4Y➔Y=1/2M
Then 14M+12W+12Y= 14M+ 12*2/3M + 12* 1/2M
=28M.
(28*24) /1 = (14*x)/1
x=48

5. Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are turned on alternately for one hour each starting with A, then what is the time taken to fill the tank?
13 1/4hrs
14hrs
12 2/3hrs
15hrs
None
Option A
12——5
——— LCM60
15——4
In 2hrs 9unit filled
Then in 12hrs 54unit filled.
In Remaining 5unit filled by A
And 1more unit filled by B in 1/4hrs
Total 12+1+1/4=13 1/4hrs.

6. The ratio between area of a rectangular field and area of a square field is 3 : 2. If the area of rectangular field is equal to 216 sq.metre, what is the perimeter of the square field ?
54m
45m
48m
52m
None
Option C
Ratio 3:2
3—–216
2——? ➔144
Area of a square a2=144
a=12
Perimeter=4a=4*12=48m.

7. Three persons P, Q and R started a business by investing their capitals in the ratio of 6 : 5 : 2. After 6 months, P and R invested half more of their initial capital amount . After a year, the total profit was Rs. 18,360. Find the share of Q in the profit.
Rs4510
Rs6120
Rs5325
Rs5645
None
Option B

Ratio (6*6 + 9*6) : (5*12) : (2*6 + 3*6)
=(36+54) : 60 : (12+18)
=90:60:30➔ 3:2:1
6(3+2+1)—18360
2————–? ➔ Rs 6120.

8. A gave a sum of 5000 at simple rate of interest of 10% to B for 5 years and B gave this amount to C at the rate of 13% for 5 years. Find how much extra amount did B get after 5 years ?
Rs720
Rs580
Rs600
Rs750
None
Option D
B get
=(5000*13*5)/100 – (5000*10*5)/100
=50*15
=Rs750.

9. Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it?
38days
54days
44days
56days
None
Option B
(4M + 3W)*6 = (5M + 6W)*4
4M = 6W or 2M = 3W
4M + 3W = 6W + 3W = 9W
(9W*6)/1 =(1W*x)/1
=54 days.

10. There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 492, what is the smallest odd number?
45
39
37
43
None
Option C

Five consecutive odd numbers = x , x+2, x +4 , x+6 and x +8
Now ,
[(x+6+x+8) /2]2 – [(x+x+2)/2]2 = 492
x= 444/12 = 37
Smallest odd number = 37.