Quantitative Reasoning

Miscellaneous

Medium

If $x - \frac{1}{x} = 3$ , then the value of $x^2 + \frac{1}{x^2}$ is

✅ Correct Option: 2

Using the identity (x - 1/x) squared = x squared - 2 + 1/x squared, we get 9 = x squared + 1/x squared - 2, so x squared + 1/x squared = 11.

Note: The NTA key marks option 7, which is obtained only if the question is read as x + 1/x = 3; we have solved the question as written (x - 1/x = 3), giving 11.

2023: 11 June Shift 2

Which should replace the question mark

$(4.25 + 2.75)^2 + ? = 5^3 - (9 \times 8)$

2022: 24 Aug Shift 1

How many students failed in both subjects English and Hindi ?

2026: 29 May Shift 1

It is observed that in each case, every term except the first term bears a constant ratio to the term immediately preceding it. Such sequences are called:

2022: 24 Aug Shift 1

How many students failed in all three subjects English, Hindi and Mathematics ?

2026: 25 May Shift 1

Determine the Arithmetic Progression whose third term is 5 and the seventh term is 9.

2023: 28 May Shift 1

If $5^x = 6^y = 30^7$ , then what is the value of $\frac{1}{x}+\frac{1}{y}$ ?

If x−1x=3x - \frac{1}{x} = 3x−x1​=3, then the value of x2+1x2x^2 + \frac{1}{x^2}x2+x21​ is

Solution

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Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

If $x - \frac{1}{x} = 3$ , then the value of $x^2 + \frac{1}{x^2}$ is