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Number System

Number System
(√6 + 1)² = ? + 2√6

5
8
6
7

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.148148148 ....

Number System
The sum of three consecutive numbers is 87. The greatest among these three number is:

29
30
26
28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.

Number System
Which is the smallest fractions among the following ?

15/19
27/31
13/15
11/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789

Number System
If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:

44
88
40
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40

Number System
If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ?

81
84
83
82

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (17*17*17)  = 2143or x² = 2143 + 4913 = 7056∴ x = 84

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