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- Question
- ( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) =?
Options- A. 0.3
- B. 1.1
- C. 0.1
- D. 0.61
- Correct Answer
- 1.1
ExplanationGiven expression
= [(0.5)3 + (0.6)3 ] / [(0.5)2 - 0.5 x 0.6 + (0.6)2]
= (a3+b3) / ( a2-ab+b2)
= a + b
= 0.5 + 0.6
= 1.1 - 1. (3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 =?
Options- A. 1.69
- B. 2.35
- C. 3.65
- D. 1 Discuss
- 2. (.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) =?
Options- A. .25
- B. .0765
- C. .345
- D. 0.625 Discuss
- 3. (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966) =?
Options- A. 1.28
- B. 0.976
- C. 12.8
- D. 9.76 Discuss
- 4. 13.065 x 13.065 - 3.065 x 3.065 =?
Options- A. 161.3
- B. 159.5
- C. 141.6
- D. 100 Discuss
- 5. [(0.05) 2 + (0.41) 2 +(0.073) 2] / [(0.005) 2 + (0.041) 2 + (0.0073) 2] =?
Options- A. 0.1
- B. 10
- C. 100
- D. 1000 Discuss
- 6. (.125 + .027) / (.5 x .5 - 1.5 + .09) =?
Options- A. .08
- B. 1
- C. .2
- D. .8 Discuss
- 7. (0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) =?
Options- A. 0.14
- B. 0.8
- C. 15.51
- D. 1 Discuss
- 8. (1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) =?
Options- A. 0.10
- B. 0.1
- C. 1
- D. 0.01 Discuss
- 9. [(0.87) 3 + (0.13) 3] / [(0.87) 2 - 0.87 x 0.13 + (0.13) 2] =?
Options- A. 0.13
- B. 0.74
- C. 0.87
- D. 1 Discuss
- 10. 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] =?
Options- A. 1.5
- B. 15
- C. .75
- D. 1.75 Discuss
Decimal Fraction problems
Search Results
Correct Answer: 1
Explanation:
Given expression
=[(3.65)2 + (2.35)2 -2 x 3.65 x 2.35 ] / 1.69
=a2 + b2 - 2ab / 1.69, Where a = 3.65 and b = 2.35
=(a - b)2 / 1.69
= (3.65 - 2.35)2 / 1.69
= (1.3)2 / 1.69
= 1.69 / 1.69
= 1
Correct Answer: 0.625
Explanation:
Given expression = [(.356)2 -2 x .356 x .106 + (.106)2] / [(.632)2+2 x .632 x .368 +(.368)2]
= (a2 -2ab + b2) / (c2+2cd+d2)
= (a - b)2 / (c + d)2
= (.356 -.106)2 / (.632 + .368)2
= (.25)2
= .0625
Correct Answer: 1.28
Explanation:
Given expression = (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966)
=.[896 x (.752+.248)] / [.7 x (.034+.966)]
= .(896 x 1) / ( .700 x 1)
=896/700
= 1.28
Correct Answer: 161.3
Explanation:
Given expression =(13.065)2-(3.065)2
=(13.065 + 3.065) x (13.065 - 3.065)
=16.13 x 10
= 161.3
Correct Answer: 100
Explanation:
Given expression = [(0.05)2 + (0.41)2 +(0.073)2] / [(0.005)2 + (0.041)2 + (0.0073)2]
Which is in form of [(a2 + b2 + c2)] /[ (a/10)2 + (b/10)2 + (c/10)2] = 100 x (a2 + b2 + c2) / (a2+b2+c2)
= 100
Correct Answer: .8
Explanation:
Given expression
= [(0.5)3 + (0.3)3] / [(0.5)2 - 0.5 x 0.3 + (0.3)2]
= [a3 + b3] / [a2 - ab + b2]
= [(a + b)(a2 - ab + b2)] / [a2 -ab + b2]
= a+b
= 0.5 + 0.3
= 0.8
Correct Answer: 0.14
Explanation:
Given expression
= [(0.47)3 - (0.33)3] / [(0.47)2 + 0.47 x 0.33 + (0.33)2]
= [a3 - b3 ] / [ a2 + ab + b2]
= [(a-b) (a2 + ab + b2)] / [(a2 + ab + b2)]
= (a - b)
= (0.47 - 0.33)
= 0.14
Correct Answer: 1
Explanation:
Given Expression = (1.04)2 + 1.04 x 0.04 + (0.04)2 / (1.04)3 - (0.04)3
= (a2 + ab + b2) / (a3 - b3)
= (a2 + ab + b2) / [(a-b) (a2 + ab + b2)]
= 1 / (a - b)
= 1/ (1.04 - 0.04)
= 1
Correct Answer: 1
Explanation:
Given Expression = ( a3 + b3 )/ (a2 + b2 - ab) where = 0.87 and b = 0.13
= [(a + b ) (a2 + b2 - ab)] / (a2 + b2 - ab)
= a + b
= 0.87 + 0.13
= 1
Correct Answer: 1.5
Explanation:
Given expression = 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}]
= 3 / [3- { 273 / (3 x 91)}]
= 3 / (3-1)
= 3 / 2
= 1.5
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