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Number System

Number System
Three numbers which are co-prime to one another are such that the product of the first two 551 and that of the last two is 1073. The sum of the three numbers is

74
93
110
85

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

85

Number System
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ?

3
4
1
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4

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?

3
8
2
5

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
In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?

50553
55053
56053
5553

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

120 * 456 + 333 = 55053

Number System
If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ?

15
17
13
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)²                       = 1394 - 1225                       = 169Therefore, x = √169 = 13

Number System
The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ?

6782
5183
8795
7745

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√4623 = 6767 x 69 = 4623∴ Required product = 71 x 73                               = 5183

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