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- Question
- (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) =?
Options- A. 0.004096
- B. 1.3976
- C. 0.16
- D. 1
- Correct Answer
- 0.004096
ExplanationGiven Expression = (.53)3 - (.42)3- 3 x .58 x .42 x (.58-.42)
= a3-b3 -3ab(a - b)
= (a - b)3
(where a = .58 and b=.42)
= (.58 - .42 )3
= .16 x .16 x .16
= 0.004096 - 1. [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] =?
Options- A. 21.736
- B. 2.1736
- C. .21736
- D. 1 Discuss
- 2. The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is?
Options- A. 7/8
- B. 11/12
- C. 5/6
- D. 2/5 Discuss
- 3. (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9) =?
Options- A. 3.9
- B. 39
- C. 34.45
- D. 50 Discuss
- 4. [(3.537 - .948) 2 + (3.537 + .948) 2] / [(3.537) 2 + (.948) 2] =?
Options- A. 4.485
- B. 2.589
- C. 4
- D. 2 Discuss
- 5. (.23 - .023) / ( .0023 / 23 ) =?
Options- A. 0.207
- B. 207
- C. 2070
- D. 0.0207 Discuss
- 6. If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is?
Options- A. 4/9
- B. 3/20
- C. 7/24
- D. 5/12 Discuss
- 7. If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is increased by 1, the fraction becomes 3/4 . What is the original fraction?
Options- A. Data inadequate
- B. 2/7
- C. 4/7
- D. 3/7 Discuss
- 8. If the numerator of a fraction is increased by 2 and denominator is increased by 3, the faction becomes 7/9 and if numerator as well as denominator are decreased by 1, the fraction becomes 4/5. What is the original fraction?
Options- A. 13/16
- B. 9/11
- C. 5/6
- D. 17/21 Discuss
- 9. If a fraction's numerator is increased by 1 and the denominator is increased by 1 and denominator is increased by 2 then the fraction becomes 2/3. But when the numerator is increased by 5 and the denominator is increased by 1, then the fraction becomes 5/4. What is the value of the original fraction?
Options- A. 3/7
- B. 5/8
- C. 5/7
- D. 6/7 Discuss
- 10. The value of (9 2 x 18 4) / 3 16 is?
Options- A. 2/3
- B. 4/9
- C. 16/81
- D. 32/243 Discuss
Decimal Fraction problems
Search Results
Correct Answer: 1
Explanation:
Given expression =(.6)3 + (.4) 3 + 3 x .6 x .4 x (.6 + .4)
= a3 + b3 + 3ab (a+b)
= (a+b)3
= (.6 + .4)3
= 13
= 1
Correct Answer: 11/12
Explanation:
2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875
Clearly, the greatest fraction is 0.916, i, e . 11/12.
Correct Answer: 50
Explanation:
Given Expression = (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9)
= [6.5 x (4.7 + 5.3 )] / [13 x (7.9 - 6.9)]
= (6.5 x 10) / (1.3 x 1)
= 50
Correct Answer: 2
Explanation:
Given expression = [(3.537 - .948)2 + (3.537 + .948)2] / [(3.537)2 + (.948)2]
= [(a - b)2 + (a + b)2] / (a2 + b2)
(Where a = 3.537 and b = 0.948)
= 2(a2 +b2) / (a2 +b2)
= 2
Correct Answer: 2070
Explanation:
Given expression = (.23 - .023) / ( .0023 / 23 )
= .207 / (.0023 / 23)
= .207 / .0001
=.2070 / .0001
= 2070
Correct Answer: 5/12
Explanation:
Let the required fraction be p/q
? p / (q + 3) = 1/3
? 3p - q = 3 ...(i)
and, (p + 4) / q = 3/4
? 4p - 3q = -16 ...(ii)
Solving these equations, we get p = 5, q = 12
? Required fraction = 5/12
Correct Answer: 3/7
Explanation:
Let the original fraction be p/q
Then, (p + 2) / (q + 1) = 5/8
? 8p - 5q = 11 .....(i)
Again (p + 3) / (q + 1) = 3/4
? 4p - 3q = 9 ...(ii)
Solving equations , (i) and (ii), we get ,
p = 3 and q = 7
? Fraction = 3/7
Correct Answer: 5/6
Explanation:
Let the numerator and denominator be p and q respectively.
Then, (p + 2) / (q + 3) = 7/9
? 9(p + 2) = 7(q +3)
? 9p - 7q = 3 ....(i)
Again, (p - 1) / (q - 1) = 4/5
? 5p - 4q = 1 ....(ii)
Solving (i) and (ii) we get,
p = 5, q = 6
Required fraction = 5/6
Correct Answer: 5/7
Explanation:
Let the numerator and denominator be p and q respectively.
Then, (p + 2) / (q + 3) = 7/9
? 9(p + 2) = 7(q +3)
? 9p - 7q = 3 ....(i)
Again, (p - 1) / (q - 1) = 4/5
? 5p - 4q = 1 ....(ii)
Solving (i) and (ii) we get,
p = 5, q = 6
Required fraction = 5/6
Correct Answer: 16/81
Explanation:
Given expression = [(32)2 x (3 x 3 x 2)4] / 316
= (34 x 38 x 24) / 316
= 24 / 34 = 16 / 81
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