Quant Test for IBPS PO Prelims Exam set – 25

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
   
   
    
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