Simplification
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= 3 + 1 3 + 3 10 = 3 + 3 30 + 3 10 = 3 + 30 = 3 + 10 = 33 + 10 = 43 33 11 11 11 Correct Option: B
= 3 + 1 3 + 3 10 = 3 + 3 30 + 3 10 = 3 + 30 = 3 + 10 = 33 + 10 = 43 33 11 11 11
- When simplified, the expression
is equal to:= (100)1/2 × (0.001)1/3 − (0.0016)1/4 × 30 + 5 −1 4
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= (100)1/2 × (0.001)1/3 − (0.0016)1/4 × 30 + 5 −1 4 = 10 × 0.1 – 0.2 × 1 + 4 5
= 1 – 0.2 + 0.8 = 1.6Correct Option: A
= (100)1/2 × (0.001)1/3 − (0.0016)1/4 × 30 + 5 −1 4 = 10 × 0.1 – 0.2 × 1 + 4 5
= 1 – 0.2 + 0.8 = 1.6
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is equal to
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First part = 30 − 1 7 2 7 + 8 2 7 = 60 − 7 14 49 + 16 14 = 53 × 14 = 53 14 65 65 = 1 2 + 24 53 = 1 106 + 24 53 = 53 130
∴ Expression= 53 ÷ 53 = 53 × 130 = 2 65 130 65 53 Correct Option: C
First part = 30 − 1 7 2 7 + 8 2 7 = 60 − 7 14 49 + 16 14 = 53 × 14 = 53 14 65 65 = 1 2 + 24 53 = 1 106 + 24 53 = 53 130
∴ Expression= 53 ÷ 53 = 53 × 130 = 2 65 130 65 53
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part of a journey takes 10 minutes, then to complete (3/5)th of that journey, it will take
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= 40 − 5 40 31 = 40 − 5 × 31 40 = 4 − 31 = 32 − 31 = 1 8 8 8 ∵ Time taken in completing 1 part = 10 minutes 8 ∴ Time taken in completing 3 part 5 = = 10 × 8 × 3 = 48 minutes 5 Correct Option: C
= 40 − 5 40 31 = 40 − 5 × 31 40 = 4 − 31 = 32 − 31 = 1 8 8 8 ∵ Time taken in completing 1 part = 10 minutes 8 ∴ Time taken in completing 3 part 5 = = 10 × 8 × 3 = 48 minutes 5
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is equal to
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4 1 − 2 1 7 4 3 1 + 1 1 2 7 = 29 − 9 7 4 7 + 8 2 7 = 116 − 63 28 49 + 16 14 = 53 × 14 = 53 28 65 130
Again,= 5 106 + 24 53 = 53 130 ∴ Expression = √ 53 ÷ 53 = 1 130 130 Correct Option: A
4 1 − 2 1 7 4 3 1 + 1 1 2 7 = 29 − 9 7 4 7 + 8 2 7 = 116 − 63 28 49 + 16 14 = 53 × 14 = 53 28 65 130
Again,= 5 106 + 24 53 = 53 130 ∴ Expression = √ 53 ÷ 53 = 1 130 130