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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
0.333 .... × 0.444 .... is equal to

0.777 ....
0.121212 ....
0.148148148 ....
1.333 ....

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.148148148 ....

Number System
432+2170+35=?

678
523
494
729

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

494

Number System
The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ?

141
162
245
188

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

80
83
85
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

5400
10800
1800
2700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

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