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Fractions and Decimals

Fractions and Decimals
When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ?

312
312000
3120
31200

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given, 52416 / 312 = 168.<=>  52416 / 168 = 312.52.416 / 0.0168 = 524160 / 168 = 3120.

Fractions and Decimals
Out of the fractions 5/7, 7/13, 4/7, 4/15 and 9/14, which is the third highest?

7/13
4/7
5/7
4/15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/7 = 0.71, 7/13 = 0.54, 4/7 = 0.57, 4/15 = 0.27, 9/14 = 0.64Clearly, 4/7 is the third highest fraction.

Fractions and Decimals
[(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] = ?

100
1000
10000
100000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] Which is in form of [(a² + b² + c²)] /[ (a/10)² + (b/10)² + (c/10)²] = 100 x (a² + b² + c²) / (a²+b²+c²) = 100

Fractions and Decimals
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.

7 2/3
2 2/3
5 2/3
9 2/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3

Fractions and Decimals
138.009 + 341.981 - 146.305 = 123.6 + ?

210.085
21.0085
2.10085
21.0085

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 138.009 + 341.981 - 146.305 = 123.6 + zThen, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085

Fractions and Decimals
(1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) = ?

3
2
1
0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³= (a² + ab + b²) / (a³ - b³) = (a² + ab + b²) / [(a-b) (a² + ab + b²)]= 1 / (a - b)= 1/ (1.04 - 0.04) = 1

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