# Mixed Quantitative Aptitude Questions Set 165

1. Ram takes thrice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is:
2:5
5:7
3:4
2:1
2:3
Option D
Speed downstream = x kmph
Speed upstream = 3x kmph
(3x+x)/2 : (3x-x)/2
4x/2 : 2x/2 = 2:1

2. Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
3
5
7
8
6
Option C
2 men = 1 woman
1 man =1/2 woman
3 men =3/2 women
2 children = 1 man =1/2 woman
1 child =1/4 woman
6 children =6/4 =3/2 women
Now, three men, four women and six children
=3/2 + 4 +3/2 = (3+8+3)/2 = 14/2 = 7 women

3. Three pipes P, Q and R connected to a Cistern. The first pipe (i.e) P can fill 1/2 part of the tank in one hour, second pipe, Q can fill 1/3 part of the cistern in one hour. R is connected to empty the cistern. After opening all the three pipes 7/12 part of the cistern. Then how much time required to empty the cistern completely?
3
5
7
4
6
Option D
In 1 hour, P can fill = 1/2 Part
Time taken to fill the Cistern by Pipe P = 2 hours
In 1 hour, Q can fill = 1/3 Part
Time taken to fill the Cistern by Pipe P = 3 hours
[1/2 + 1/3 – 1/R] = 7/12
1/R = 1/4
Time required to empty the Cistern = 4 hours

4. P takes 6 days less than Q to finish the work individually. If P and Q working together complete the work in 4 days, then how many days are required by Q to complete the work alone ?
1/3
1/5
1/6
1/4
1/2
Option D
Days required by Q to complete the work
=1/6 + 1/12
=2+1/12 =3/12 = ¼

5. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
20
40
30
10
50
Option C
Part filled by both pipes A and B in 1 minute
=1/60+1/40=1/24
To fill the tanker from empty state, B is used for x/2 minutes and A and B together is used for the rest x/2 minutes.
x/2×1/40+x/2×1/24=1
⇒x/2(1/40+1/24)=1
⇒x/2×8/120=1
⇒x/2×1/15=1
=>x=15×2 =30 minutes

6. In what ratio must the 3 varieties of wheat costing Rs 42, Rs 54 and Rs 65 respectively be mixed so that the resulting mixture is sold for Rs 63.8 at a profit of 10%?
7:3:11
9:6:20
7:3:18
7:7:20
7:7:19
Option D
SP = 63.8, Profit=10%, so CP = (100/110)*63.8 = 58
Now 58 is greater than 42 and 54 and less than 65
So
42 65
58
7 16
And
54 65
58
7 4
A : B : C = 7 : 7 : (16+4) = 7:7:20

7. How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
10 kg
20 kg
15 kg
22 kg
27 kg
Option B
25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg.
(x×42)+(25×24)=32(x+25)
42x+600=32x+800
10x=200
x = 20kg

8. A, B, C subscribe Rs. 60,000 for a business, A subscribes Rs.8000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 40,000. Find how much A receives.
Rs.17,000
Rs.15,000
Rs.18,000
Rs.14,000
Rs.10,000
Option C
Let C = x then B = x + 5000 and A = x + 5000 + 8000 = x + 13000.
x + x + 5000 + x + 13000 = 60000 <=> 3x = 42000 , x = 14000.
A : B : C = 27000 : 19000 : 14000 = 27 : 19 : 14
A’s share = Rs. (40000 * 27/60 ) = Rs.18,000

9. In a business A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs.261300 was their profit how much amount did B receive?
Rs.122000
Rs.162000
Rs.135000
Rs.120600
Rs.152000
Option D
A:B = 3:2
B:A = 2:3 = 4:6
A:C = 2:1= 6:3
B’s share = 6/13 * 261300
= Rs.120600

10. A bag contains 2 red caps, 4 blue caps, 3 yellow caps and 5 green caps. If three caps are picked at random, what is the probability that none is green?
4/15
3/10
1/13
3/13
3/11
Option D
Total caps = 14
Probability = 5c0 * 9c3/ 14c3 = 3/13