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Fractions and Decimals

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

5
7
8
3

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
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
9 2/3
5 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
If 5/6 of a property worth be Rs.976500 then the value of 3/5 of the property is:

None of these
Rs. 803080
Rs. 703080
Rs. 903080

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the worth of total property be Rs.XWe have to find 3/5 of X.Given that, 5/6 th of the property = Rs.976500i.e., 5/6 x X = 976500X = 976500 x 6/5And, 3/5 of X = 3/5 x 976500 x 6/5 = 18 x 39060 = 703080Hence the answer is Rs. 703080

Fractions and Decimals
0.000033 / 0.11=?

0.3
0.003
0.03
0.0003

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.000033 / 0.11= 0.0033 / 11=.0003

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

1100
1800
1500
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
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

800
0.8
8
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

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