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Number System

Number System
What should come in place of question mark (?)? 8 : 1 1 : : 72:

99
89
109
79

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let ? = xTherefore 8 : 11 : 72 : xTherefore x = (11 x 72) / 8 = 99

Number System
3√103820 x 3√274620 = ?

3055
3065
3035
3045

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055

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 ?

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

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

25
23
26
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
Which one of the following numbers is exactly divisible by 11?

235641
245642
415624
315624

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.

Number System
In how many different ways can the letters of the word TEST' be arranged ?

8
16
12
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12

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