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Number System

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:

4
5
6
10

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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 ?

38
39
37
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
83250÷?=74×25

45
38
21
59

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

45

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

78
77
75
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
Find the smallest number which should be multiplied with 520 to make it a perfect square.

55
30
120
None of these

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Number System
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.

None of these
9125
9974
9565

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.

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