Fractions
 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.

 8/27
 1^{1}/_{3}
 2^{2}/_{3}
 3^{2}/_{3}
 None of the above

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If the required fraction be P
According to the question
(P x P) / (1/P) = 18^{26}/_{27}Correct Option: C
If the required fraction be P
According to the question
(P x P) / (1/P) = 18^{26}/_{27}
⇒ P^{3} = 512/27
∴ P = 8/3 = 2^{2}/_{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 ?

 32%
 20%
 36%
 data inadequate
 None of the above

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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 ?

 a > 0
 b > 0
 ab > 0
 a + b > 0

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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 3^{3}/_{4} part of ₹ 100 ?

 ₹ 900
 ₹ 940
 ₹ 875
 ₹ 975

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Let the amount be ₹ a
According to the question,
a x 5/12= 3^{3}/_{4} x 100
solve the equation.Correct Option: A
Let the amount be ₹ a
According to the question,
a x 5/12= 3^{3}/_{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?

 781/3330
 1171/4995
 2341/9990
 2339/9990

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0.2341 = (2341  2) / 9990 = 2339/9990
Correct Option: D
0.2341 = (2341  2) / 9990 = 2339/9990