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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 ?

83
82
81
84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:

289
289/290
290/289
1/289

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289

Number System
1827÷ 36 x ?=162.4

2.6
4.3
1.9
3.2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3.2

Number System
If the product of two successive positive integers is 4692, what is the smaller number ?

70
66
68
64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 68 x 69 = 4692

Number System
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.

16
8
12
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.

Number System
What is the difference between the local value of 7 and 5 in the number 2574?

413
570
403
430

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

500 – 70 = 430

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