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Number System

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

12
8
16
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

Number System
Which one of the following numbers is exactly divisible by 11?

235641
315624
415624
245642

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
Given √2 = 1.414, the value of √8 + 2√32 - 3√128 + 4√50 is

8.684
8.484
8.784
8.584

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8.484

Number System
When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ?

44
46
45
47

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46

Number System
How many numbers up to 100 are divisible by 7?

93
14
100
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

100/7 = 14 2/7 => 14 Numbers

Number System
The difference between 72% of a number and 49% of the same number is 575. What is 9% of that number ?

275
225
245
295

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x.Therefore, 72% of x - 49% of x = 575Therefore, (72 - 49)% of x = 575Therefore, 9% of x = 575/23 x 9 = 225

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