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Number System

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

24
14
17
22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 – x = 272 => x =17

Number System
432+2170+35=?

523
494
729
678

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

494

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

24
23
26
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

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:

40
44
88
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
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?

6, 9
9, 6
7, 8
10, 5

ANSWER DOWNLOAD EXAMIANS APP

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

45
44
46
47

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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