Quant Test for IBPS PO Prelims Exam set – 25

Banya
  1. A and B undertake to complete a piece of work for Rupees 1200. A can do it in 8 days, B can do it in 12 days and with the help of C they complete the work in 4 days. Find the share of C?
    180
    220
    200
    145
    175
    Option C
    1/8 + 1/12 + 1/C = 1/4, we get C = 24 days
    now efficiency of A, B and C are in the ratio of 1/8 :1/12 : 1/24
    3:2:1, so share of C is 1/6 * 1200 = 200

     

  2. One year before, Manju was six times as old as her daughter. Six years hence, Manju’s age will exceed her daughter’s age by 20 years. The ratio of the present ages of Manju and her daughter is?
    4:3
    5:1
    1:2
    4:5
    6:7
    Option B
    Ages of Manju and her daughter = 6x, x
    [6x + 1 + 6] – [x + 1 + 6] = 20
    5x = 20; x = 4
    Ratio = 6x + 1 : x + 1 = 25 : 5 = 5:1

     

  3. A sum of rupees 3903 is divided between P and Q such that the share of P at the end of 8 years is equal to the share of Q after 10 years. Find the share of P if rate of interest is 4% compounded annually.
    2121
    2000
    1998
    2028
    2100
    Option D
    P*(1 + 4/100)^8 = (3903 – P)*(1 + 4/100)^10
    = 2028

     

  4. Speed of a man in still water is 4 km/hr and the river is running at 2 km/hr. The total time taken to go to a place and come back is 4 hours. What is the distance travelled?
    8
    5
    6
    9
    4
    Option C
    Distance = time * [B^2 – R^2] / 2*B
    Distance = 4* [4^2 –2^2] / 2*4
    = 6 km

     

  5. A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.
    88/263
    71/290
    66/251
    91/264
    61/263
    Option D
    Probability = probability of selecting the bag and probability of selecting red ball
    (1/2)*(3/11) + (1/2)*(5/12) = 91/264

     

    6. Directions(6-10): Find the wrong term of the following number series.

  6. 4, 6, 18, 49, 201, 1011
    49
    6
    4
    18
    1011
    Option D
    4 × 1 + 2 = 4 + 2 = 6
    6 × 2 + 3 = 12 + 3 = 15 == 18
    15 × 3 + 4 = 45 + 4 = 49
    49 × 4 + 5 = 196 + 5 = 201
    201 × 5 + 6 = 1005 + 6 = 1011

     

  7. 48, 72, 108, 162, 243, 366
    243
    72
    366
    108
    48
    Option C
    48 ×3/2 = 72
    72 ×3/2 = 108
    108 × 3/2= 162
    162 × 3/2 = 243
    243 ×3/2 = 364.5 == 366

     

  8. 2, 54, 300, 1220, 3674, 7350
    54
    3674
    2
    1220
    300
    Option B
    2 × 6 + 7 × 6 = 12 + 42 = 54
    54 × 5 + 6 × 5 = 270 + 30 = 300
    300 × 4 + 5 × 4 = 1200 + 20 = 1220
    1220 × 3 + 4 × 3 = 3660 + 12
    = 3672 == 3674
    3672 × 2 + 3 × 2 = 7344 + 6 = 7350

     

  9. 8, 27, 64, 125, 218, 343
    27
    218
    8
    125
    343
    Option B
    2^3 = 8 : 3^3 = 27
    4^3 = 64 : 5^3 = 125
    6^3 = 216 == 218
    7^3 = 343

     

  10. 19, 68, 102, 129, 145, 154
    95
    90
    102
    110
    120
    Option C
    19 + 7^2 = 19 + 49 = 68
    68 + 6^2 = 68 + 36 = 104 == 102
    104 + 5^2 = 104 + 25 = 129
    129 + 4^2 = 129 + 16 = 145
    145 + 3^2 = 145 + 9 = 154

     


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