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Fractions and Decimals

Fractions and Decimals
(0.16)² - (0.12)² = ?

1.12
0.0112
11.2
.112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112

Fractions and Decimals
There are two fractions such that fraction X is thrice the fraction Y and their product is 25/12. Which of the following is equal to Y?

9/10
3/4
7/8
5/6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.

Fractions and Decimals
(.23 - .023) / ( .0023 / 23 ) = ?

2070
207
2077
2770

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (.23 - .023) / ( .0023 / 23 ) = .207 / (.0023 / 23) = .207 / .0001=.2070 / .0001 = 2070

Fractions and Decimals
999.99 + 25.012 = ? - 174.469

116
14
56
215

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (999.99)/25.012 + 174.469 = (1000/25) + 174.469= (40 + 174.469) = 214.469 = 215

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

19
16
18
17

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
Find the integer which when decreased by 2 is 80 times the reciprocal of the same number

10
11
13
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be X Decreasing 2 from XX - 2 = 80 x (1/X)X^2 - 2X = 80X^2 -2x -80 = 0(X-10)(X+8) = 0x=10,-8X has two values, but among the given options X value should be 10

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