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655-705 Level|   Arithmetic|      
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Bunuel
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If a is the hundredths digit in the decimal 0.7a and if b is the thous 15 Feb 2023, 00:04
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D
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55% (hard)

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65% (01:49) correct 35% (01:50) wrong based on 429 sessions

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If a is the hundredths digit in the decimal 0.7a and if b is the thousands digit in the decimal 0.08b, where a and b are nonzero digit, which of the following is closest to the least possible value of 0.7a/0.08b ?

A. 5
B. 6
C. 7
D. 8
E. 9
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D
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Nabneet
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If a is the hundredths digit in the decimal 0.7a and if b is the thous 08 Mar 2023, 08:06
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0.71/0.089 ~ 7.9

option D
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If a is the hundredths digit in the decimal 0.7a and if b is the thous 09 Mar 2023, 05:02
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For least possible value of 0.7a/0.08b, 0.7a should be smallest possible numerator and 0.08b should be smallest possible denominator. (a,b not equal to zero)

So, 0.71/0.089 ~ 8

Therefore, D is the answer.
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If a is the hundredths digit in the decimal 0.7a and if b is the thous 12 Apr 2023, 10:14
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IMO D

We have

0.7a / 0.08b

Since we are asked for least value, we maximize the denominator.

Shifting decimals, we can rewrite as

7a0 / 8b

Now to maximize denominator, put b as 9 and minimize numerator by putting a as 0

we get 700 / 89 - we get 8*89 = 712 hence it is closest to (D) 8
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If a is the hundredths digit in the decimal 0.7a and if b is the thous 09 Mar 2024, 11:40
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In this question, the logic is to minimise the numerator and maximise the denominator. Thus -> 0.7a = 0.71 and 0.08b = 0.089.

a will not be 0 as the question says a and b are nonzero digits.

To solve, multiply the numerator by 1000 to get 710/89, thus the closest answer would be 8, i.e. option D.
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If a is the hundredths digit in the decimal 0.7a and if b is the thous 06 Sep 2025, 11:39
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