Fractions
- If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 1826/27. Find the fraction.
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If the required fraction be P
According to the question
(P x P) / (1/P) = 1826/27Correct Option: C
If the required fraction be P
According to the question
(P x P) / (1/P) = 1826/27
⇒ P3 = 512/27
∴ P = 8/3 = 22/3
- 1/4th of number of boys and 3/8th of number of girls participated in annual sports of the school. What fractional part of total number of students participated ?
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Let number of boys in school are B and Girls are G.
Total number of students participated
= (B x 1/4 + G x 3/8)
= (B/4 + 3G/8)
∴ Required percentage
= ((B/4 + 3G/8)/(B + G) x 100%)Correct Option: D
Let number of boys in school are B and Girls are G.
Total number of students participated
= (B x 1/4 + G x 3/8)
= (B/4 + 3G/8)
∴ Required percentage
= ((B/4 + 3G/8)/(B + G) x 100%)
Clearly, given data is inadequate.
- If the fraction a/b is positive, then which of the following must be true ?
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If the fraction a/b is positive, then a > 0 and b > 0 .
Correct Option: C
If the fraction a/b is positive,
then a > 0 ..............(i)
and b > 0 ..............(ii)
Multiply (i) and (ii)
So ab > 0 must be true.
- 5/12 part of what amount will be equal to 33/4 part of ₹ 100 ?
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Let the amount be ₹ a
According to the question,
a x 5/12= 33/4 x 100
solve the equation.Correct Option: A
Let the amount be ₹ a
According to the question,
a x 5/12= 33/4 x 100
⇒ 5a/12 = 15/4 x 100
⇒ a = 12/5 x 15/4 x 100
⇒ a = 12 x 15 x 100/4 x 5
∴ a = ₹ 900
- Representation of 0.2341 in the form p / q, where p and q are integers, q ≠ 0, is?
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0.2341 = (2341 - 2) / 9990 = 2339/9990
Correct Option: D
0.2341 = (2341 - 2) / 9990 = 2339/9990