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Number System

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

10
16
12
8

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
What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361

11
121
225
321

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The series is (Prime No.)²So it is (11)² = 121

Number System
1008÷36=?

28
25
27
26

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

28

Number System
If the difference between a number and its three fifths is 62, what is the number ?

175
145
165
155

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155

Number System
If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ?

2/7
7/5
1/9
3/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5

Number System
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

6
8
None of these
3.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8

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