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Number System

Number System
What is the value of 8/11 of 5/7 of 96% of 28875 ?

13800
15400
14400
12900

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number = 8 x 5 x 96 x 28875/11 x 7 x 100              = 14400

Number System
Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number?

N2
N(N + 1)
N(N + 1)/2
N2 + 1

ANSWER DOWNLOAD EXAMIANS APP

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

12
16
8
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
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1975
1955
1965
1945

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

Number System
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

75
12.5
50
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

Number System
What is the sum of 1 + 2 + 3+ ... + 27 ?

378
396
343
382

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

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