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Number System

Number System
(√6 + 1)² = ? + 2√6

8
5
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
The difference between a number and its three-fifth is 50. What is the number?

75
125
None of these
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.

Number System
3251 + 587 + 369 - ? = 3007

1375
1200
1250
1300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4207 - x = 3007 Then, x = 4207 - 3007 = 1200

Number System
What is the sum of all the composite numbers up to 20?

128
131
130
132

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132

Number System
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

12
28
180
160

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

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

170
168
171
169

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

168

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