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Number System

Number System
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?

5
7
9
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x/2 – x/3 = 6=> x =63 + 6 = 9

Number System
Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these number

18
24
32
None

ANSWER DOWNLOAD EXAMIANS APP

Number System
If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ?

720
780
660
840

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660

Number System
Given √2 = 1.414, the value of √8 + 2√32 - 3√128 + 4√50 is

8.484
8.584
8.784
8.684

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8.484

Number System
If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ?

5/9
3/9
6/9
4/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

4
5
6
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

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