Decimal Fraction problems
- 1. Sum of twice a fraction and 3 times its reciprocal is 29/3. What is the fraction?
Options- A. 2/9
- B. 5/4
- C. 4/5
- D. 9/2 Discuss
Correct Answer: 9/2
- 2. Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?
Options- A. 3/4
- B. 4/3
- C. 4/7
- D. 7/4 Discuss
Correct Answer: 3/4
- 3. Convert the 0.0068 in to vulgar fraction:
Options- A. 7/1250
- B. 17/2500
- C. 17/5000
- D. 7/1750 Discuss
Correct Answer: 17/2500
- 4. How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
Correct Answer: 6
Explanation:
Sum of the decimal places = 7 .
Since the last digit to the extreme right wil be zero ( 5 * 4 = 20), so there will be 6 significant digits to the right of the decimal point....
- 5. When 0.36 is written in simplest form, the sum of the numerator and the denominator is :
Options- A. 15
- B. 34
- C. 64
- D. 13 Discuss
Correct Answer: 34
Explanation:
0.36 = 36/100 = 9/25.
Sum of the numerator and denominator is 9 + 25 = 34
- 6. If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :
Options- A. 55.6003
- B. 53.603
- C. 153.6003
- D. 213.003 Discuss
Correct Answer: 153.6003
Explanation:
4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get :
4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006
A = 10,
B = 1,
C = 0.1,
D = 100,
E = 0.0001.
5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)
=50 + 3 + 0.6 + 100 + 0.003 = 153.6003.
- 7. If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :
Options- A. 73/77
- B. 7.3/77
- C. 730/77
- D. 7300/77 Discuss
Correct Answer: 73/77
Explanation:
x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.
= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77...
- 8. 3 x 0.3 x 0.03 x 0.003 x 30 =?
Options- A. 0.0000243
- B. 0.000243
- C. 0.00243
- D. 0.0243 Discuss
Correct Answer: 0.00243
Explanation:
3 x 3 x 3 x 3 x 30 = 2430. Sum of decimal places = 6
Therefore, 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 = 0.00243
- 9. When 0.232323.... is converted into a fraction , then the result is
Options- A. 1/5
- B. 2/9
- C. 23/99
- D. 23/100 Discuss
Correct Answer: 23/99
Explanation:
- 10. What decimal of an hour is a second
Options- A. .0028
- B. .0027
- C. .0026
- D. .0025 Discuss
Correct Answer: .0027
Explanation:
1 / (60 * 60) = 1 / 3600 = .0027
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