Fractions
- If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?
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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
= .025Correct Option: B
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
- If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ?
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a / b = 0.04 / 1.5
= 4 / 150
= 2 / 75
∴ Given Exp. (b - a) / ( b + a)
= (1- a/b ) / (1 + a/b)Correct Option: B
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
- (3.57 - 2.14) =?
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Given Exp. = 3.57 - 2.14
= 3 + (57 / 99) - 2 - (14 / 99)
= 1 + (57 / 99) - (14 /99)
= 1 + 43/99
= 1.43Correct Option: C
Given Exp. = 3.57 - 2.14
= 3 + (57 / 99) - 2 - (14 / 99)
= 1 + (57 / 99) - (14 /99)
= 1 + 43/99
= 1.43
- 0.63 + 0.37 = ?
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Given Exp. = 0.63 + 0.37
= 63/99 + 37/99
= 100 / 99
= 11/99
= 1.01Correct Option: B
Given Exp. = 0.63 + 0.37
= 63/99 + 37/99
= 100 / 99
= 11/99
= 1.01
- (0.3467 + 0.1333) = ?
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Given Exp= 0.3467 + 0.1333
= (3467 - 34) / 9900 + (1333 -13) / 9900
= 3433 +1320 / 9900
= 4753 / 9900
= (4801 - 48) / 9900
= 0.4801Correct Option: B
Given Exp= 0.3467 + 0.1333
= (3467 - 34) / 9900 + (1333 -13) / 9900
= 3433 +1320 / 9900
= 4753 / 9900
= (4801 - 48) / 9900
= 0.4801