USTET Mental Ability Practice Test 2025 – All-In-One Guide to Mastering Your Exam!

Question: 1 / 400

The sum of the reciprocal of a number and 5 is equal to 8. What is the number?

3

1/3

To solve the problem, we start with the equation derived from the information given. The problem states that the sum of the reciprocal of a number and 5 equals 8. Let's denote the number as \( x \). Therefore, we can set up the following equation:

\[

\frac{1}{x} + 5 = 8

\]

Next, we isolate the reciprocal of the number:

\[

\frac{1}{x} = 8 - 5

\]

Calculating the right side:

\[

\frac{1}{x} = 3

\]

Now, to find \( x \), we take the reciprocal of both sides:

\[

x = \frac{1}{3}

\]

This solution aligns with the given answer choice. The essence of this problem is understanding how to manipulate the equation involving a reciprocal. In this case, correctly isolating the variable led to finding the number that satisfies the given condition. The option of \( \frac{1}{3} \) is indeed the only valid solution to the equation presented in the problem.

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4

1/8

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