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Number System

Number System
(12.11)2 + (?)2 = 732.2921

24.2
17.2
20.2
14.2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

24.2

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

5
8
3
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
(444 x 44 x 4) ÷ 40 ?

1853.6
2053.6
2153.6
1953.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 444 x 44 x 4/40 = 1953.6

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

5/4
4/5
3/5
3/10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

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

382
378
343
396

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
What is the difference between the local value of 7 and 5 in the number 2574?

570
403
413
430

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

500 – 70 = 430

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