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Fractions and Decimals

Fractions and Decimals
What decimal of an hour is a second

0.0028
0.0026
0.0025
0.0027

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1 / (60 * 60) = 1 / 3600 = .0027

Fractions and Decimals
In a polling booth, total number of voters is 1575 out of which 0.4 part are male voters. If a candidate gets 0.4 part of female votes, then find how many votes did the candidate get ?

756
456
656
556

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of male voters = 4/10 of 1575 = 4/10 x 1575 = 630 Number of female voters=1575 - 630 = 945 Now, total votes that candidate got = (6/10) x 630 + (4/10) x 945 = 378 + 378 = 756 

Fractions and Decimals
9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ?

16
17
18
15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = a² -2ab + b² Where a =9.75 and b=5.75= (a-b)² = (9.75 - 5.75)² = 4²=16

Fractions and Decimals
A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out this cloth ?

600
300
450
150

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of  each piece = (1/8) m = 0.125 mRequired no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.

Fractions and Decimals
If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ?

3/20
None of these
1/16
5/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required fraction be p/q∵ p / (q + 3) = 1/3⇒ 3p - q = 3 ...(i)and, (p + 4) / q = 3/4 ⇒ 4p - 3q = -16 ...(ii)Solving these equations, we get p = 5, q = 12∴ Required fraction = 5/12

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

None of these
1.3
11.3
111.3

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

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