Mixed Quantitative Aptitude Questions Set 161

Banya
  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.

  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

     


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