Fractions
- (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9) = ?
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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)Correct Option: D
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
- The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is ?
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2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875
Correct Option: B
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.
- [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ?
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Given expression =(.6)3 + (.4) 3 + 3 x .6 x .4 x (.6 + .4)
= a3 + b3 + 3ab (a+b)
= (a+b)3Correct Option: D
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
- (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?
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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)Correct Option: A
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
- 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 ?
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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)Correct Option: D
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