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Number System

Number System
If 1.5 x= 0.04 y, then the value of (y-x) (y+x) is:

93/77
73/77
83/77
77/73

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

73/77

Number System
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

6
8
9
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

Number System
The difference between two integers is 5. Their product is 500. Find the numbers.

20, 25
21, 26
30, 25
15, 20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.

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 ?

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

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
If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ?

8
10
9
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9

Number System
Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number

7.5
4
15
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.7x -15 = 2x + 10 => 5x = 25 => x = 5

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