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Number System

Number System
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

144/25
25/144
12/5
5/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
On converting the following base-2 numeral in base ten, 1101101, we get

107
109
106
108

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

7
4
5
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

Number System
An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white ?

89/190
92/190
91/190
90/190

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total possible outcomes = 20C2 = 20 x 19/1 x 2 = 190Total favourable outcomes = 7C1 x 13C1 = 7 x 13 = 91∴ Required probability = 91/190

Number System
Find the least value of 3x + 4y if x2y3 = 6.

3
10
7
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

10

Number System
8988 / 8 / 4 = ?

4494
280.875
2247
561.75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8988 * 1/8 * 1/4 = 2247/8 = 280.875

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