Consider that $S$ represents the product of all integers from 1 to 90, and $T$ denotes the product of all integers from 1 to 91. What is the value of $\frac{1}{S} + \frac{1}{T}$ expressed in terms of $T$ ?

Correct answer marked below

\frac{T}{91}

\frac{T}{90} + 90

\frac{90 + T}{T}

\frac{92}{T}

Correct

\frac{T + 1}{90}

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Explanation

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Official Explanation

Official

Given that

S=90!

and

T=91!

, we can express

\frac{1}{S} + \frac{1}{T}

as follows: [m]\frac{1}{90!} + \frac{1}{91!} =…

Comments

3.18127E+11Apr 17, 2025

Thank for sharing!!!

JasonJul 25, 2024

thanks for posting

What this question tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Applying the order of operations out of sequence or rounding intermediate values before the final step.