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Number System

Number System
How many numbers up to 100 are divisible by 7?

14
93
107
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

100/7 = 14 2/7 => 14 Numbers

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 ?

660
780
720
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
1827÷ 36 x ?=162.4

2.6
1.9
3.2
4.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3.2

Number System
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:

290/289
289
289/290
1/289

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289

Number System
7589 - ? = 3434

11023
4155
4242
1123

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 7589 - x = 3434Then x = 7589 - 3434 = 4155

Number System
The sum of the present age of a father and a son is 60 years. Five years before, the age of the father was four times that of son. What is the present age of the son ?

25 years
15 years
21 years
18 years

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the father's age be x and son's age yTherefore, x + y = 60   ....................(i)Five years back, (x - 5) = 4 (y - 5)x - 4y = - 15 ......................(2)Solving (1) and (2), x = 45 and y = 15

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