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Fractions and Decimals

Fractions and Decimals
If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?

.00025
25
.0025
.025

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025

Fractions and Decimals
What will be the value of (25.732)² - (15.732)²

414.64
420.64
416.64
418.64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Can be easily solved with following formula= (25.732 - 15.732 ) x (25.732 + 15.732)=414.64

Fractions and Decimals
(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is :

11.3
1.3
None of these
111.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)..( (10.3)^3 + (1)^3 ) / ((10.3)^2  + (1)^2 - (1 * 10.3))=> a + b = 10.3 + 1 = 11.3

Fractions and Decimals
A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of

17
19
16
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the present age of person be   x years.Then, 3(x + 3) - 3(x - 3 ) = x  <=> (3x + 9) - (3x - 9) = x  <=> x = 18

Fractions and Decimals
Which of the following fraction is the largest?

14/17
18/23
16/21
8/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Converting the given fractions into decimal form, we have,8/9 = 0.8818/23 = 0.7816/21 = 0.7614/17 = 0.82From the above, 0.88 is the largest.Corresponding fraction is 8/9.

Fractions and Decimals
13.065 x 13.065 - 3.065 x 3.065 =?

1.613
161.3
16.13
1613

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(13.065)²-(3.065)² =(13.065 + 3.065) x (13.065 - 3.065)=16.13 x 10 = 161.3

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