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Number System

Number System
Find out the smallest possible number which will be divisible by 1122 as well as 153.

4366
2366
1366
3366

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3366

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 ?

18 years
15 years
25 years
21 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

Number System
The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ?

Rs. 810
Rs. 830
Rs. 820
Rs. 800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29  + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810

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

290/289
289/290
289
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
What is the sum of all the composite numbers up to 20?

130
131
128
132

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132

Number System
If 272/3 × 81-1/2 = 3x, the value of x is

1
3
0
2

ANSWER DOWNLOAD EXAMIANS APP
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