The CAT QA section requires speed and accuracy, along with a thorough understanding of the Basics of Numbers. This article provides a set of MCQs on Basics of Numbers to help you understand the topic and improve your problem-solving skills with the help of detailed solutions by ensuring conceptual clarity, which will help you in the CAT 2025 exam preparation

Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.

The CAT 2025 exam is expected to follow a similar trend to the CAT 2024, with 22 questions from the QA section out of a total of 68 questions.

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CAT MCQs on Basics of Numbers

CAT MCQs on Basics of Numbers

1. The number of all natural numbers up to 1000 with non-repeating digits is
A
648
B
585
C
504
D
738

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2. If \(x\) is a positive real number such that \(x^8+\bigg(\frac{1}{x}\bigg)^8=47\) , then the value of \(x^9+\bigg(\frac{1}{x}\bigg)^9\) is
A
\(34\sqrt 5\)
B
\(40\sqrt5\)
C
\(36\sqrt5\)
D
\(30\sqrt5\)

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3. The number of real-valued solutions of the equation \(2^x+2^{-x}=2-(x-2)^2\) is
A
infinite
B
1
C
0
D
2

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4. How many distinct positive integer-valued solutions exist to the equation \((x^2-7x+11)^{(x^2-13x+42)}=1\)?
A
6
B
8
C
2
D
4

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5. When \(10^{100}\) is divided by 7, the remainder is ?
A
6
B
3
C
1
D
4

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