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Number System

Number System
(√6 + 1)² = ? + 2√6

7
6
5
8

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
275
129
288

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
When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ?

45
46
44
47

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46

Number System
What should come in place of the question mark (?) in the given number series ? 888, 888, 444, 148, ?, 7.4

38
36
39
37

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the missing number.Then888/888 = 1,888/444 = 2,444/148 = 3,148/x = 4= x = 148/4 = 37  and 37/7.4 = 5

Number System
The sum of three consecutive even numbers is 252. What is the sum of the smallest and the largest numbers?

169
168
171
170

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

168

Number System
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

48
47
49
50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

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