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Number System

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
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 ?

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

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
A basket contains 5 blue, 4 green and 3 red ball. If three balls are picked at random, what is the probability that at least one is red ?

31/58
32/51
34/55
37/52

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Probability of having no red ball is9C3 / 12C3 = 21/55Probability of having at least one red ball is 1 - 21/55 = 34/55

Number System
384×12×2=?

8465
7487
6123
9216

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9216

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

26
23
25
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

Number System
217 * 217 + 183 * 183 = ?

81268
79698
80698
80578

ANSWER DOWNLOAD EXAMIANS APP
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