Decimal Fraction problems
- 1. Find the value of 9.46 7 in a vulgar fraction.
Options- A. 9421/900
- B. 9422/900
- C. 9435/900
- D. 9437/900 Discuss
Correct Answer: 9421/900
Explanation:
9.467 = 9 + (467 - 46)/900
= 9 + 421/900
= 9421/900
- 2. (0. 142857 ÷ 0. 285714) =?
Options- A. 1/2
- B. 1/3
- C. 2
- D. 10 Discuss
Correct Answer: 1/2
Explanation:
= 0.142857 / 0.285714
= [(142857 / 999999) / (285714 / 999999)]
= 142857 / 285714
= 1 / 2
- 3. When 0.252525...........is converted into a fraction, then find the result.
Options- A. 25/99
- B. 25/90
- C. 25/999
- D. 25/9999 Discuss
Correct Answer: 25/99
Explanation:
0.252525 ..... = 0.25= 25/99
- 4. Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 .
Options- A. 10/11
- B. 5/11
- C. 9/11
- D. 7/11 Discuss
Correct Answer: 5/11
Explanation:
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
- 5. Find the value of 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
Options- A. 800
- B. 500
- C. 900
- D. 1600 Discuss
Correct Answer: 1600
Explanation:
2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
= 2 x [(36 x 48 x 250) / (12 x 9 x 5)]
= 2 x 4 x 4 x 50 = 1600
- 6. 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.
Options- A. 8/27
- B. 11/3
- C. 22/3
- D. 32/3 Discuss
Correct Answer: 22/3
Explanation:
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
- 7. 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?
Options- A. 32%
- B. 20%
- C. 36%
- D. data inadequate Discuss
Correct Answer: data inadequate
Explanation:
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.
- 8. If the fraction a/b is positive, then which of the following must be true?
Options- A. a > 0
- B. b > 0
- C. ab > 0
- D. a + b > 0 Discuss
Correct Answer: ab > 0
Explanation:
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.
- 9. 5/12 part of what amount will be equal to 33/4 part of ? 100?
Options- A. ? 900
- B. ? 940
- C. ? 875
- D. ? 975 Discuss
Correct Answer: ? 900
Explanation:
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
- 10. Representation of 0.2341 in the form p / q, where p and q are integers, q ? 0, is?
Options- A. 781/3330
- B. 1171/4995
- C. 2341/9990
- D. 2339/9990 Discuss
Correct Answer: 2339/9990
Explanation:
0.2341 = (2341 - 2) / 9990 = 2339/9990
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