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


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



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



8. 11,22,?,74,115,166
   45
   40
   47
   49
   43
   Option E
   +11,+21,+31, ,+41,+51
   ? = 43
   
   
    



9. 12,25,?,61,84,113
   40
   42
   47
   45
   49
   Option B
   +13,+17,+19,+23,+29
   ? = 42
   
   
    



10. 58,59,57,63,39,?
    160
    146
    159
    140
    150
    Option C
    +1!,-2!,+3!,-4!,+5!
    ? = 159