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Number System

Number System
What is the sum of 1 + 2 + 3+ ... + 27 ?

343
382
396
378

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

Number System
I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0

if x <= y
if x < y
if x >= y
if x > y

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2

Number System
Write the next number in the series : 14, 16, 13, 17, 12, 18, 11 ....

15
7
1
19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

19

Number System
What is the sum of all the composite numbers up to 20?

128
131
130
132

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132

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?

2
3
8
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
ind the number, difference between number and its 3/5 is 50

123
120
125
124

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number = x,Then, x-(3/5)x = 50,=> (2/5)x = 50 => 2x = 50*5,=> x = 125

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