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Number System

Number System
What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361

321
121
11
225

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The series is (Prime No.)²So it is (11)² = 121

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

8
3
2
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
Which one of the following represents the sum of the first n even numbers?

N2
N(N – 1)
N(N + 1)
N2+ 1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

N (N + 1)

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
81
84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
√343 = ?

19
21
18
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √343 = 18

Number System
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

12.5
50
75
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

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