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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
2700
1800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

Number System
What is the difference between the local values of 3 in the number 53403?

0
2997
3030
3003

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3000 – 3 = 2997

Number System
What should come in the place of ' ? ' in the following number series ? 2, 5, 9, 19, 37, ?

75
78
77
76

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 x 2 + 1 = 5;5 x 2 - 1 = 99 x 2 + 1 = 19: 19 x 2 - 1 = 3737 x 2 + 1 = 75

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

37
38
39
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:

88
44
80
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40

Number System
3√103820 x 3√274620 = ?

3045
3055
3035
3065

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055

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