Central Board of Secondary Education (CBSE - India) Class 10 Mathematics MCQs: REAL NUMBERS

Instructions. Answer all questions. Fill exactly one bubble per question on the OMR sheet.

1. REAL NUMBERS

   1.

   If $p$ and $q$ are two positive integers such that $p = ab^2$ and $q = a^3b$, where $a$ and $b$ are prime numbers, then the LCM($p, q$) is:

   1. (A)

      $a^3b^2$

   2. (B)

      $ab$

   3. (C)

      $a^2b^2$

   4. (D)

      $a^3b^3$

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   Answer: (A)

   $a^3b^2$

   REAL NUMBERS · Easy

2. 2.

   The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, what is the other number?

   1. (A)

      207

   2. (B)

      230

   3. (C)

      253

   4. (D)

      184

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   Answer: (A)

   207

   REAL NUMBERS · Medium

3. 3.

   The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after how many decimal places?

   1. (A)

      Four

   2. (B)

      Five

   3. (C)

      Three

   4. (D)

      Two

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   Answer: (A)

   Four

   REAL NUMBERS · Medium

4. 4.

   Which of the following numbers has a non-terminating repeating decimal expansion?

   1. (A)

      $\frac{77}{210}$

   2. (B)

      $\frac{17}{512}$

   3. (C)

      $\frac{35}{50}$

   4. (D)

      $\frac{6}{15}$

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   Answer: (A)

   $\frac{77}{210}$

   REAL NUMBERS · Hard

5. 5.

   If $n$ is a natural number, then $6^n - 5^n$ always ends with:

   1. (A)

      6

   2. (B)

      1

   3. (C)

      5

   4. (D)

      0

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   Answer: (B)

   1

   REAL NUMBERS · Hard

— End of the paper · updated 27 October 2026 —