## Fractions

#### Fractions

1. 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.
1. 8/27
2. 11/3
3. 22/3
4. 32/3
5. None of the above

1. If the required fraction be P
According to the question
(P x P) / (1/P) = 1826/27

##### Correct 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. 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 ?
1. 32%
2. 20%
3. 36%
4. data inadequate
5. None of the above

1. 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.

1. If the fraction a/b is positive, then which of the following must be true ?
1. a > 0
2. b > 0
3. ab > 0
4. a + b > 0

1. 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.

1. 5/12 part of what amount will be equal to 33/4 part of ₹ 100 ?
1. ₹ 900
2. ₹ 940
3. ₹ 875
4. ₹ 975

1. 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

1. Representation of 0.2341 in the form p / q, where p and q are integers, q ≠ 0, is?
1. 781/3330
2. 1171/4995
3. 2341/9990
4. 2339/9990

1. 0.2341 = (2341 - 2) / 9990 = 2339/9990

##### Correct Option: D

0.2341 = (2341 - 2) / 9990 = 2339/9990