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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 ?

82
83
84
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?

2/5
Data inadequate
1/5
1/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5

Number System
The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b

30 years
31 years
28 years
29 years

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Age of the fourth boy = (26 x 7 - 3 x 19 - 3 x 32) years = (182 - 57 - 96) years = 29 years

Number System
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

5
4
6
10

ANSWER DOWNLOAD EXAMIANS APP

Number System
What is the sum of all even numbers from 1 to 701?

122550
122500
122850
123850

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

700/2 = 350350 * 351 = 122850

Number System
The product of two consecutive position odd numbers is 6723. What is the smaller number?

74
71
79
83

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83

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