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Number System

Number System
How many figures are required to number the pages the pages of a book containing 365 pages?

967
897
987
977

ANSWER DOWNLOAD EXAMIANS APP

Number System
Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.

187
219
207
197

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.

Number System
Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?

180
140
240
160

ANSWER DOWNLOAD EXAMIANS APP

Number System
When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ?

35
45
65
55

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45

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
2
5
8

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
Which number should replace question mark (?) in the following equation ? ?/342 = 38/?

114
118
112
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114

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