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Fractions and Decimals

Fractions and Decimals
50.8 / 2540 = ?

0.0002
0.02
None of these
0.002

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

50.8 / 2540 = 508 / 25400 = 2 / 100 = .02

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

0.04
0.4
None of these
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
(.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ?

6.25
.625
.0625
62.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625

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.

2 2/3
5 2/3
7 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
If √5 = 2.24, then the value of 3√5 / 2√5 - 0.48 is ?

16.8
1.68
None of these
168

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 3√5 / 2√5 - 0.48= (3 x 2.24) / (2 x 2.24) - 0.48= 6.72 / 4.48 - 0.48 = 6.72 / 4 = 1.68

Fractions and Decimals
If 5/6 of a property worth be Rs.976500 then the value of 3/5 of the property is:

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

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

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