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Number System

Number System
What should come in the place of question mark (?) in the number series given below?

160
158
157
159

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

160

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 ?

15 years
18 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
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

47719
48619
47649
47619

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619     333333----------------        0

Number System
If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:

15
18
30
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20

Number System
If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ?

95
92
103
99

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801  Therefore, x = 99

Number System
The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?

1
6
Nothing can be said.
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(10x + y) – (10y + x) = 54x – y = 6

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