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Number System

Number System
If 35% of a number is 899.5, what is 68% of that number ?

2247.6
1547.6
1747.6
1847.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Suppose the number is x.Then 35% of x = 899.5∴ 68% of x = 68/35 x 899.5 = 1747.6

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

77
80
85
83

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

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

1965
1945
1955
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
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is:

5336
9865
2568
6890

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5336

Number System
(444 x 44 x 4) ÷ 40 ?

2053.6
2153.6
1853.6
1953.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 444 x 44 x 4/40 = 1953.6

Number System
What is the difference between the local value of 7 and 5 in the number 2574?

430
413
403
570

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

500 – 70 = 430

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