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Number System

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

10800
5400
1800
2700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

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

29 years
30 years
31 years
28 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
Two third of three- fifth of one fourth of a number is 24, what is 30% of that number?

42
69
90
72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x * 2/3 * 3/5 * 1/4 = 24x = 240240 * 30/100 = 72

Number System
Which one of the following numbers is exactly divisible by 11?

235641
415624
245642
315624

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

80
85
83
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

Number System
ind the number, difference between number and its 3/5 is 50

123
124
125
120

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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