Discussion
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- Question
- [(3.537 - .948) 2 + (3.537 + .948) 2] / [(3.537) 2 + (.948) 2] =?
Options- A. 4.485
- B. 2.589
- C. 4
- D. 2
- Correct Answer
- 2
ExplanationGiven 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 - 1. (.23 - .023) / ( .0023 / 23 ) =?
Options- A. 0.207
- B. 207
- C. 2070
- D. 0.0207 Discuss
- 2. If ? 0.05 x 0.5 x a = 0.5 x 0.05 x ?b, then a/b =?
Options- A. .0025
- B. .025
- C. .25
- D. none of these Discuss
- 3. If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is?
Options- A. 730 / 77
- B. 73 / 77
- C. 7.3 / 77
- D. None of thesse Discuss
- 4. ( 0. 6 + . 7 + . 8 + . 3) =?
Options- A. 23 / 10
- B. 233 / 100
- C. 22 / 3
- D. 2.33 Discuss
- 5. The value of 4. 12 is?
Options- A. 411/99
- B. 52/9
- C. 411/90
- D. None of these Discuss
- 6. (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
- 7. 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
- 8. [ .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
- 9. (.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 Discuss
- 10. 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
Decimal Fraction problems
Search Results
Correct Answer: 2070
Explanation:
Given expression = (.23 - .023) / ( .0023 / 23 )
= .207 / (.0023 / 23)
= .207 / .0001
=.2070 / .0001
= 2070
Correct Answer: .025
Explanation:
Given expression = ?0.5 x .5 x a = .5 x .05 x ? b
? ?.025 x a = 0.25 x ? b
? 0.025a = 0.25 x .025 x b
? a/b = (.025 x .025) /.025
= .025
Correct Answer: 73 / 77
Explanation:
a / b = 0.04 / 1.5
= 4 / 150
= 2 / 75
? Given Exp. (b - a) / ( b + a)
= (1- a/b ) / (1 + a/b)
= (1- 2 / 75) / (1 + 2 / 75)
= ( 73/75 ) / ( 77/75)
= 73/77
Correct Answer: 22 / 3
Explanation:
0.6 + . 7 + .8 + .3
= ( 6/9 + 7/9 + 8/9 + 3/9)
= 24 / 9
= 8 / 3
= 22/3
Correct Answer: 411/90
Explanation:
4.12 = 4 + 0.12
= 4 + (12 - 1) / 90
= 411/90
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: 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: 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: 0.004096
Explanation:
Given 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
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
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