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Fractions and Decimals

Fractions and Decimals
If 2805 / 2.55 = 1100, then 280.5 / 25.5 is equal to ?

31
11
41
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression 280.5 / 25.5 = 2805 / 255= 2805 / (2.55 x 100) = 1100 / 100 =11

Fractions and Decimals
(44.99)² - (15.01)² = ?

1500
1100
1800
700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

Fractions and Decimals
What will come in place of question mark in the following equation ? 54.(?)3 + 543 + 5.43 = 603.26

5
3
8
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x + 543 + 5.43 = 603.26.Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83Missing digit = 8.

Fractions and Decimals
When .36 is written in simplest fractional form, the sum of the numerator and the denominator is :

34
23
37
29

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.36 = 36 / 100 = 9 / 25. Sum of Numerator and Denominator = 9 + 25 = 34.

Fractions and Decimals
( 20 + 8 x 0.5 ) / ( 20 - ? ) = 12

14
18
20
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (20 + 8 x 0.5) / ( 20 - y) =12Then, 24 =12 x (20 - y)∴ 12y = 216⇒ y = 18

Fractions and Decimals
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

0.004
0.0004
0.04
0.00004

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (11.98)² + (0.02)² + 11.98 x x.For the given expression to be a perfect square, we must have11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

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