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Bunuel
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Of the following expressions, which one has the smallest value? 18 Oct 2021, 08:45
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55% (02:14) correct 45% (02:08) wrong based on 310 sessions

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Of the following expressions, which one has the smallest value?

(A) \(\frac{2 (3^2)}{7^2}\)

(B) \(\frac{10 (3^2)}{7^3}\)

(C) \(\frac{5 (3^3)}{7^3}\)

(D) \(\frac{100 (3^2)}{7^4}\)

(E) \(\frac{25 (3^3)}{7^4}\)
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B
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100mitra
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Of the following expressions, which one has the smallest value? 18 Oct 2021, 09:02
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Higher the denominator and Lower the numerators = lowest value

Option B

\(\frac{10*3*3 }{ 7*7*7}\)

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Of the following expressions, which one has the smallest value? 20 Oct 2021, 05:11
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E.
P=3×3/7×7 is the common factor in all expressions here.

A. 2p
B. 10/7p
C. 15/7p
D. 100/49p
E. 25/49p

All the expressions are greater than 1 except from E.

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Of the following expressions, which one has the smallest value? 20 Oct 2021, 05:11
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E.
P=3×3/7×7 is the common factor in all expressions here.

A. 2p
B. 10/7p
C. 15/7p
D. 100/49p
E. 25/49p

All the expressions are greater than 1 except from E.

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Of the following expressions, which one has the smallest value? Updated on: 01 Nov 2021, 08:51
Originally posted by stne on 01 Nov 2021, 06:10.
Last edited by stne on 01 Nov 2021, 08:51, edited 1 time in total.
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Bunuel
Of the following expressions, which one has the smallest value?

(A) \(\frac{2 (3^2)}{7^2}\)

(B) \(\frac{10 (3^2)}{7^3}\)

(C) \(\frac{5 (3^3)}{7^3}\)

(D) \(\frac{100 (3^2)}{7^4}\)

(E) \(\frac{25 (3^3)}{7^4}\)
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B =\( \frac{90}{343} \approx 0.26\)

E = \( \frac{675}{2401} \approx 0.28 \)

Ans B

Hope it helps.
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Of the following expressions, which one has the smallest value? 01 Nov 2021, 08:06
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stne
Bunuel
Of the following expressions, which one has the smallest value?

(A) \(\frac{2 (3^2)}{7^2}\)

(B) \(\frac{10 (3^2)}{7^3}\)

(C) \(\frac{5 (3^3)}{7^3}\)

(D) \(\frac{100 (3^2)}{7^4}\)

(E) \(\frac{25 (3^3)}{7^4}\)



B =\( \frac{900}{343} > 1 \)

E = \( \frac{675}{2401} < 1 \)

Ans should be E

Hope it helps.
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I'm sorry but there's a little mistake here, the result of B is 90/343 which is smaller than 1.
So for D I got approximately 900/2450 and B is 90/343, since 90/245 > 90/343 because the denominator is smaller, then B wins I guess.

:)
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Of the following expressions, which one has the smallest value? Updated on: 01 Nov 2021, 08:49
Originally posted by stne on 01 Nov 2021, 08:48.
Last edited by stne on 01 Nov 2021, 08:49, edited 1 time in total.
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Femto
stne
Bunuel
Of the following expressions, which one has the smallest value?

(A) \(\frac{2 (3^2)}{7^2}\)

(B) \(\frac{10 (3^2)}{7^3}\)

(C) \(\frac{5 (3^3)}{7^3}\)

(D) \(\frac{100 (3^2)}{7^4}\)

(E) \(\frac{25 (3^3)}{7^4}\)




B =\( \frac{900}{343} > 1 \)

E = \( \frac{675}{2401} < 1 \)

Ans should be E

Hope it helps.


I'm sorry but there's a little mistake here, the result of B is 90/343 which is smaller than 1.
So for D I got approximately 900/2450 and B is 90/343, since 90/245 > 90/343 because the denominator is smaller, then B wins I guess.

:)
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Dear Femto,

Yes you are correct. Thanks for point it out. Corrected the issue.

Between B and E , the former is smaller. Thank you.
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Of the following expressions, which one has the smallest value? 01 Nov 2021, 08:49
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How I approached it:
convert to a common denominator
compare numerators

(and don't calculate exponents)

once every fraction has denominator of 7^4, numerators going to be:
(A) 98*3^3

(B) 70*3^2

(C) 105*3^2

(D) 100*3^2

(E) 75*3^2

The smallest numerator is in option B, so correct option is B
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Of the following expressions, which one has the smallest value? 01 Nov 2021, 09:40
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between B and E:
B=90/343=.26
E=675/2401=.28
Ans=B
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Of the following expressions, which one has the smallest value? 21 Jul 2025, 06:11
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