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

- 3, 52, 88, 113, 129, ?
140130138125120Option 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, 3, 8, ?, 112, 565
2230292720Option D

2 × 1 + 1 = 52

3 × 2 + 2 = 8

8 × 3 + 3 = 27

27 × 4 + 4 = 112

112 × 5 + 5 = 565 - 6, 4, 8, 23, ?, 385.25
77.579.484.580.191.2Option 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 - 8, 84, 216, 512, ?,1728
1200110099913001000Option E

2^3 = 8; 4^3 = 64

6^3 = 216; 8^3 = 512

10^3 = 1000 ; 12^3 = 1728 - 5, 11, 32, 108, 444, ?
22302130220023002300Option 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 - 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) ?
7.28.14.96.65.8Option A

Volume of the ball = Volume of the raised water

4*22*r3/3*7 = 22/7*100*5

r = 7.2 - 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.
120000112400135000145200174250Option 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 - 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?
21201880208822002100Option 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 - 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?
1410181216Option 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 - 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 ?
1/251/361/501/231/44Option B

P = 2C2/9C2 = 1/36