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Number System

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

84
82
83
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?

13
0
12
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number = (12 * 35) = 420Correct quotient = 420/21 = 20

Number System
Supply the missing figure : 1, 4, 9, 16, 25 .... 49

16
23
36
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

36

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:

80
40
88
44

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
What least number should be added to 8602 to make it a perfect square ?

41
36
47
51

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

So, (93)² = 8649So, the required number to be added to make a perfect square = 8649 - 8602 = 47

Number System
If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ?

10
9
8
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9

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