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Fractions and Decimals

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

None of these
111.3
1.3
11.3

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
Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 .

7/11
5/11
10/11
9/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/3 + 1/15 + 1/35 + 1/63 + 1/99= [1/3 + 1/15] + 1/35 + 1/63 + 1/99 = [6/15 + 1/35] + 1/63 + 1/99= 45/105 + 1/63 + 1/99 = [3/7 + 1/63] + 1/99= 28/63 + 1/99 = 4/9 + 1/99= 44 + 1/99 = 45/99 = 5/11

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

0.004096
0.04096
0.4096
4.096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

Fractions and Decimals
0.9 x 0.008=?

0.72
None of these
0.00072
0.072

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )

Fractions and Decimals
What will be the vulgar fraction of 0.75 ?

1/4
3/4
1
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.75 = 75/100 = 3/4

Fractions and Decimals
Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ?

5/13
4/7
6/11
3/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4/7 = 0.57, 5/13 = 0.38, 6/11 = 0.54, 3/5 = 0.6 and 2/3 = 0.67Clearly, the second smallest fraction is 6/11

MORE MCQ ON Fractions and Decimals

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