Quant Test for SBI PO Prelims Exam set – 09

Banya
  1. Work done by A in one day is four times the work done by B in one day, while the work done by B in one day is one-third of the work done by C in one day. C alone can complete the work in 16 days. In how many days can all the three together complete the work?
    9 days
    8 days
    6 days
    3 days
    4 days
    Option C
    C = 16 days B = 3(16)= 48 days
    A days = 48/4 = 12 days
    All together = 1/[1/16+1/48+1/12] = 6 days

     

  2. The total of the ages of a class of 60 girls is 900 years. The average age of 20 of the girls is 12 years and that of the other 20 girls is 16 years. What is the average age of the remaining girls
    14 years
    19 years
    15 years
    10 years
    17 years
    Option E
    20*12 + 20*16 + 20x = 900
    =>x = 17 years

     

  3. A tap can empty a tank in one hour. A second tap can empty it in 30 min. If both the taps operate simultaneously, how much time is needed to empty the tank?
    70 mins.
    10 mins.
    30 mins.
    40 mins.
    20 mins.
    Option E
    Required time = 1/[1/60+1/30] m6n. = 20 mins.

     

  4. When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs. 270. Find the original price of sugar per kg ?
    Rs.30
    Rs.50
    Rs.20
    Rs.40
    Rs.10
    Option A
    Decreased price = 10/100*270 = 27
    Reduced price of Sugar = 27 Rs./ kg.
    Original price of Sugar = 27*100/9 = Rs.30

     

  5. The compound interest on a certain sum for 2 years at 20% per annum is Rs. 880. What is the simple interest on the same sum for double the time at half the rate percent per annum ?
    900
    700
    500
    800
    600
    Option D
    Let Principal = P
    Compound interest at 20% per annum for 2 years =(20 + 20 + 4)% of P = 44% of P
    44% of P = 880 P = 2000
    Simple Interest for 4 years at 10% per annum = 40% of 2000 = 800

     

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

  6. 68, ?, 77, 104,168, 293
    74
    81
    90
    69
    58
    Option D
    +1^3, +2^3, +3^3, +4^3, +5^3,
    ? = 69

     

  7. 334, ?, 226, 217, 214, 213
    253
    235
    241
    212
    220
    Option A
    -81,-27,-9,-3,-1
    ?= 253

     

  8. 18, 19.7, 16.3, 23.1, 9.5,?
    29.1
    25.5
    24.4
    31.8
    36.7
    Option E
    +1.7,-3.4,+6.8,-13.6
    ? = 36.7

     

  9. 2, 5, 12, 27, 58, ?
    119
    120
    111
    118
    121
    Option E
    *2+1
    *2+2
    *2+3
    *2+4
    ? = 121

     

  10. 16, 8, 12, 30,?, 472.5
    100
    105
    90
    98
    84
    Option B
    *0.5,*1.5,*2.5,*3.5,*4.5
    ? = 105

     


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