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Number System

Number System
If a number is subtracted from its square we get 272. Find the number?

22
14
17
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 – x = 272 => x =17

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

28
180
12
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
(√6 + 1)² = ? + 2√6

6
7
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
Look at this series: 1000, 200, 40, ... What number should come next?

24
8
2
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

This is a simple division series. Each number is divided by 5. Rule = (1st number / 5 = 2nd number) (2nd number / 5 = 3rd number)....Now, (1000 / 5 = 200), (200 / 5 = 40), (40 / 5 = 8)...So answer is a = 8.

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

169
170
171
168

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

168

Number System
If A + B = 30 and AB = 94, What is the value of A² + B² ?

824
712
625
920

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94                                = 900 - 188 = 712

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