Decimal Fraction problems
- 1. The H.C.F. of 0.54, 1.8 and 7.2 is?
Options- A. 1.8
- B. 0.18
- C. .018
- D. 18 Discuss
Correct Answer: 0.18
Explanation:
The given number are 0.54,1.80 and 7.20
So given number can be represented as fraction 54/100, 180/100 and 720/100
H.C.F. of 54, 180 and 720 is 18
? H.C.F. of given number= 18 / 100
= 0.18
- 2. which of the following fraction are in ascending order?
Options- A. 16/19, 11/14, 17/22
- B. 11/14, 16/19, 17/22
- C. 17/22, 11/14, 16/19
- D. 16/19, 17/22, 11/14 Discuss
Correct Answer: 17/22, 11/14, 16/19
Explanation:
16/19 =0.842,
11/14 =0.785 and
17/22 = 0.772
? 0.772 < 0.785 < 0.842
or 17/22 < 11/14 < 16/19.
- 3. Exp. = (.35 x .0015) / (.25 x .07) written as a percentage is?
Options- A. 0.3 %
- B. 3 %
- C. 30 %
- D. None of these Discuss
Correct Answer: 3 %
Explanation:
Exp. = (.35 x .0015) / (.25 x .07)
= ( 35 x 15) / (25 x 7 x 100)
= (3/100) x 100 %
= 3%
- 4. The square root of (0.324 x 0.081 x 4.624) / (1.5625 x 0.0289 x 72.9 x 64) is?
Options- A. 24
- B. 2.4
- C. 0.024
- D. None of these Discuss
Correct Answer: 0.024
Explanation:
Given expression =?(0.324 x 0.081 x 4.624) / (1.5625 x 0.0289 x 72.9 x 64)
= ?( 324 x 81 x 4624) / (15625 x 289 x 729 x 64)
= ?9 / 15625
= 3 /125
= 0.024
- 5. ? 0.289/0.00121 =?
Options- A. 170 / 11
- B. 17 / 110
- C. 17 / 1100
- D. 17 / 11 Discuss
Correct Answer: 170 / 11
Explanation:
? 0.289 / 0.00121
= ? 0.28900 / 0.00121
= ? 28900 / 121
= 170 / 11
- 6. If ?4096 =64 ,then the value of ?40.96 + ?0.4096 + ?0.004096 + ?0.00004096 is?
Options- A. 7.09
- B. 7.1014
- C. 7.1104
- D. 7.12 Discuss
Correct Answer: 7.1104
Explanation:
?4096/100+ ?4096/10000 + ?4096/1000000 + ?4096/100000000
=?4096 / 10 + ?4096/ 100 + ?4096/ 1000 + ?4096/ 10000
=64/10 + 64/100 + 64/1000 + 64/10000
=6.4 + .64 + .064 + .0064
= 7.1104
- 7. If ?15 = 3.88, the value of ? 5/3 is?
Options- A. 0.43
- B. 1.89
- C. 1.29
- D. 1.63 Discuss
Correct Answer: 1.29
Explanation:
?5/3 = ?15/9
= ?15/3
= 3.88/3
= 1.29
- 8. If ?5 = 2.24, then the value of 3?5 / 2?5 - 0.48 is?
Options- A. 0.168
- B. 1.68
- C. 16.8
- D. 168 Discuss
Correct Answer: 1.68
Explanation:
Given expression = 3?5 / 2?5 - 0.48
= (3 x 2.24) / (2 x 2.24) - 0.48
= 6.72 / 4.48 - 0.48
= 6.72 / 4
= 1.68
- 9. If 12276 / 155 = 79.2 the value of 122.76 / 15.5 is?
Options- A. 7.092
- B. 7.92
- C. 79.02
- D. 79.2 Discuss
Correct Answer: 7.92
Explanation:
122.76 / 15.50 = 12276/1550
= (12276 / 155) x (1/10)
= 79.2 / 10
= 7.92
- 10. (.538 x .538 - .462 x .462) / (1-.924) =?
Options- A. .076
- B. 1.042
- C. 1
- D. 2 Discuss
Correct Answer: 1
Explanation:
Given expression = [ (.538)2 - (.462)2 ] / .076
= [(.538 + .462)(.538 - .462)] /.076
=.076 / .076
= 1
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