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Number System

Number System
4550 ÷ 25% of ? = 130

135
130
140
125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4550 ÷ ? x 25/100 = 130= 4550 ÷ ?/4 = 130= 4550 x 4/? = 130= ? x 130 = 4550 x 4= ? = 4550 x 4/130 = 140

Number System
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

75
12.5
50
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1945
1955
1965
1975

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

Number System
The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number

636
845
724
673

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100  = 636

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

95
99
103
92

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
How many figures are required for numbering the pages of a book containing 1000 pages?

3892
6489
2893
2883

ANSWER DOWNLOAD EXAMIANS APP
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