Quant Test for IBPS PO Prelims Exam set – 24

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

1. 3, 52, 88, 113, 129, ?
   140
   130
   138
   125
   120
   Option C
   3 + 7^2 = 3 + 49 = 52
   52 + 6^2 = 52 + 36 = 88
   88 + 5^2 = 88 + 25 = 113
   113 + 4^2 = 113 + 16 = 129
   129 + 3^2 = 129 + 9 = 138
   
   
    



2. 2, 3, 8, ?, 112, 565
   22
   30
   29
   27
   20
   Option D
   2 × 1 + 1 = 52
   3 × 2 + 2 = 8
   8 × 3 + 3 = 27
   27 × 4 + 4 = 112
   112 × 5 + 5 = 565
   
   
    



3. 6, 4, 8, 23, ?, 385.25
   77.5
   79.4
   84.5
   80.1
   91.2
   Option C
   6 × 0.5 + 1 = 4
   4 × 1.5 + 2 = 8
   8 × 2.5 + 3 = 23
   23 × 3.5 + 4 = 84.5
   84.5 × 4.5 + 5 = 385.25
   
   
    



4. 8, 84, 216, 512, ?,1728
   1200
   1100
   999
   1300
   1000
   Option E
   2^3 = 8; 4^3 = 64
   6^3 = 216; 8^3 = 512
   10^3 = 1000 ; 12^3 = 1728
   
   
    



5. 5, 11, 32, 108, 444, ?
   2230
   2130
   2200
   2300
   2300
   Option A
   5 × 1 + 1 × 6 = 11
   11 × 2 + 2 × 5 = 32
   32 × 3 + 3 × 4 = 108
   108 × 4 + 4 × 3 = 444
   444 × 5 + 5 × 2 = 2230
   
   
    



6. A cylindrical tub of radius 10 cm contains water up to a depth of 25cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 5cm. What is the radius of the iron ball(approximate) ?
   14
   18
   10
   12
   16
   Option A
   Volume of the ball = volume of the raised water
   4*22*r3/3*7 = 22*100*5
   r3 = 11000*3*7/88 = 2625
   r = 13.79 or 14
   
   
    



7. 3 partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.
   120000
   112400
   135000
   145200
   174250
   Option B
   C=x, B=4x
   2(A’s capital)= 3(B’s capital)= 3*4x
   A’s capital= (3*4x /2) = 6x
   Ratio: 6:4:1
   B’s share= 4/11 * 309100
   = Rs.112400
   
   
    



8. A shopkeeper marked the price of an item 20% above cost price. He allowed two successive discounts of 20% and 25% to a customer. As a result he incurred a loss of Rs.812. At what price did he sell the item to the customer?
   2120
   1880
   2088
   2200
   2100
   Option C
   CP = 100
   MP = 120
   120*80/100 = 96; 96*75/100 = 72
   Loss = 100 – 72 = 28%
   CP = 100/28*812 = 2900
   SP = 2900*72/100 = 2088
   
   
    



9. At present, the respective ratio between the ages of A and B is 3:4 and that between A and C is 1:2. six years hence, the sum of A, B and C will be 96 years. what is the present age of A?
   14
   10
   18
   12
   16
   Option C
   The ratio between A, B and C is = 3:4:6
   The sum of present age of A,B and C = 96 – 18 = 78
   13 x = 78
   x = 6
   Present age of A = 3x = 18
   
   
    



10. A box contain 4 white, 3 blue and 2 black marbles. If 2 marbles are picked up at random. What is the probability that both of them are black ?
    1/25
    1/36
    1/50
    1/23
    1/44
    Option B
    P = 2C2/9C2 = 1/36