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Number System

Number System
(√6 + 1)² = ? + 2√6

8
7
5
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7

Number System
What is the least number that should be added to 5200 to make it a perfect square ?

225
288
275
129

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.

Number System
Twenty times a positive integer is less than its square by 96. What is the integer?

Cannot be determined
24
20
30

ANSWER DOWNLOAD EXAMIANS APP

Number System
If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ?

7
9
8
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9

Number System
A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ?

6353
6363
6383
6373

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4  = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80  ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383

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
2
3
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

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