Quant Test for IBPS PO Prelims Exam set – 23

Directions(1-5): Find the missing term ‘?’ of the following number series.

1. 4, 11, 25, 53, 109, (?)
   200
   202
   221
   213
   230
   Option C
   4 +1 × 7 = 11
   11 + 2 × 7 = 25
   25 + 4 × 7 = 53
   53 + 8 × 7 = 109
   109 + 16 × 7 = 109 + 112 = 221
   

    

2. 15, 21, 33, 51, 75, (?)
   125
   120
   200
   105
   170
   Option D
   15 + 6 × 1 = 21
   21 + 6 × 2 = 33
   33 + 6 × 3 = 51
   51 + 6 × 4 = 75
   75 + 6 × 5 = 105
   

    

3. 5, 7, 13, 25, 45, (?)
   60
   80
   91
   87
   75
   Option E
   5 + 1 × 2 = 7
   7 + 2 × 3 = 13
   13 + 3 × 4 = 25
   25 + 4 × 5 = 45
   45 + 5 × 6 = 75
   

    

4. 483, 471,435, 375, 291, (?)
   170
   183
   175
   189
   195
   Option B
   483 – 1 × 12 = 483 – 12 = 471
   471 – 3 × 12 = 471 – 36 = 435
   435 – 5 × 12 = 435 – 60 = 375
   375 – 7 × 12 = 375 – 84 = 291
   291 – 9 × 12 = 291 – 108 = 183

    

5. 11, 15, 31, 67, 131, (?)
   220
   250
   262
   231
   250
   Option D
   11 + 2^2 = 11 + 4 = 15
   15 + 4^2 = 15 + 16 = 31
   31 + 6^2 = 31 + 36 = 67
   67 + 8^2 = 67 + 64 = 131
   131 + 10^2 = 131 + 100 = 231
   

    

6. A starts business with Rs. 7000 and after 5 months, B joins with A as his partner. After 1 year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?
   15620
   17500
   18000
   15200
   19250
   Option C
   Let B’s capital be Rs. x. Then.
   (7000 x 12) / 7x = 2/3
   =>14x = 252000
   => x = 18000
   

    

7. A cricketer has completed 10 innings and his average is 21.5 runs. How many runs must he make in his next innings so as to raise his average to 24?
   55
   60
   45
   49
   32
   Option D
   Total of 10 innings = 21.5 x 10 = 215
   Average in 11 innings =(215 + a) / 11= 24
   a = 264-215 = 49
   

    

8. Rohit invested 20000 rupee in fixed deposit at the rate of 10% simple interest. After every 3 rd year he added interest to principal. Find the interest earned at the end of 6th year.
   6200
   8100
   7800
   7700
   6000
   Option C
   For the first 3 years SI will be = 20000*10/100*3 = 6000
   Now he add 3000 to the principal i.e = 20000+6000 = 26000
   Now interest earned at end of 6th year = 26000*10/100*3 = 7800
   

    

9. P sold his scooter to Q at a loss of 20%. Q spent rupees 1500 on its repair and sold the scooter to R for 42000, thereby making a profit of 5%. Find the cost of scooter for P?
   45200
   35200
   48125
   40000
   51200
   Option C
   Cost of P is CP,
   Cost for Q = (80/100)*cp + 1500
   Selling price of Q = 42000 = (105/100)*[(80/100)*cp + 1500] cp = 48125

    

10. A bag contains 5 red balls and 7 blue balls. Two balls are drawn at random without replacement, and then find the probability of that one is red and other is blue.
    30/61
    33/68
    35/66
    41/61
    50/67
    Option C
    Required Probability = (5/12)*(7/11) + (7/12)*(5/11) = 35/66