# Mixed Quantitative Aptitude Questions Set 161

1. Two pipes A and B can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should B be closed so that the tank is full in 6 minutes?
3
2
4
5
1
Option A
Let after x minutes pipe B is closed
(1/8 + 1/12)*x + (1/8)*(6 -x) = 1
x= 3 minutes

2. On pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?
20
18
16
12
14
Option D
Let P takes x minutes to fill the tank alone.
Q will take 4x minutes to fill the tank
4x – x = 45, x = 15
So P will take 15 minutes and Q will take 60 minutes to fill the tank.
(60*15)/(75) = 12 minutes

3. The sum of the age of mother and daughter is 100 years. 5 years ago their age were in the ratio of 2:1. The ratio of the age of daughter and mother after 10 years.
1:2
3:5
9:4
5:7
2:1
Option B
M + D = 100 and (M – 5)/(D -5) = 2/1
we get D = 35 and M = 65.
After 10 years ratio = 45:75 = 3:5

4. Sahil purchased an article for Rs. 8400 and sold it for a loss of 5%. From that money he purchased another article and sold it for a gain of 5%. What is the overall gain or loss?
Loss of Rs.25
Gain of Rs.20
Loss of Rs.15
Gain of Rs.15
Loss of Rs.21
Option E
CP = 8400
SP = 8400 * 95/100 = 7980
CP = 7980
SP = 7980 * 105/100 = 8379
Difference = 8400 – 8379 = 21
Loss of Rs.21

5. A boat can travel with a speed of 12 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
3.10 hours
4.25 hours
5.12 hours
2.20 hours
3.15 hours
Option B
Speed downstream = (12+4) = 16 km/hr
Time taken to travel 68 km downstream
= 68/16=17/4 = 4.25 hours

6. Directions(6-10): Find the missing term ‘?’ of the following number series.

7. 23,55,136,200,?,231
215
220
200
225
212
Option D
+2^5, +3^4, +4^3, +5^2, +6^1
? = 225

8. 8,15,?,71,120,183
28
25
30
36
20
Option D
+7*1, +7*3, +7*5, +7*7, +7*9
? = 36

9. 11,22,?,74,115,166
45
40
47
49
43
Option E
+11,+21,+31, ,+41,+51
? = 43

10. 12,25,?,61,84,113
40
42
47
45
49
Option B
+13,+17,+19,+23,+29
? = 42

11. 58,59,57,63,39,?
160
146
159
140
150
Option C
+1!,-2!,+3!,-4!,+5!
? = 159