# 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) ?
7.2
8.1
4.9
6.6
5.8
Option A
Volume of the ball = Volume of the raised water
4*22*r3/3*7 = 22/7*100*5
r = 7.2

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