Multiple Choice Questions (MCQs) for Class 8 Mathematics: Rational Numbers
Review structured MCQ sets for Class 8 Mathematics Rational Numbers. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.
Practice Rational Numbers MCQs for Class 8 Mathematics
View or download the dedicated Rational Numbers MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.
Multiple Choice Questions
(a) 2
(b) 3
(c) 4
(d) 6
Show Answer & Explanation
Answer: (b) 3
Explanation:
1. N = 5k + 3. Multiples of 5 end in 0 or 5.
2. So N ends in 3 or 8.
3. Among the options the ones digit can be 3.
Teacher's Note:
1. Multiples of 5 end in 0 or 5.
2. Add 3 to get possible last digits 3 and 8.
(a) \( \frac{-1}{3} \)
(b) 0
(c) 1
(d) 3
Show Answer & Explanation
Answer: (b) 0
Explanation:
1. The inverse of a number a satisfies a × b = 1.
2. For 0, 0 × b = 0 for every b, so no inverse exists.
3. The number is 0.
Teacher's Note:
1. Every non-zero rational has a reciprocal.
2. 1 is its own inverse.
| Girl | Parts Sewn |
|---|---|
| Nalini | \( \frac{3}{8} \) |
| Kamini | \( \frac{1}{5} \) |
| Shalini | \( \frac{2}{5} \) |
| Reena | \( \frac{1}{40} \) |
(a) Reena, Nalini, Shalini, Kamini
(b) Shalini, Nalini, Kamini, Reena
(c) Reena, Kamini, Nalini, Shalini
(d) Kamini, Nalini, Shalini, Reena
Show Answer & Explanation
Answer: (b) Shalini, Nalini, Kamini, Reena
Explanation:
1. With denominator 40: Nalini 15/40, Kamini 8/40, Shalini 16/40, Reena 1/40.
2. Most to least: Shalini (16), Nalini (15), Kamini (8), Reena (1).
3. The list is Shalini, Nalini, Kamini, Reena.
Teacher's Note:
1. Convert all fractions to a common denominator of 40.
2. 'Most to least' is descending order.
(a) 973
(b) 6973
(c) 5994
(d) None of these
Show Answer & Explanation
Answer: (c) 5994
Explanation:
1. In 856973 the digit 6 is in the thousands place, so its place value is 6000.
2. Its face value is 6.
3. Difference = 6000 − 6 = 5994.
Teacher's Note:
1. Face value is the digit itself.
2. Place value = digit × value of its position.
(a) \( 0.09>\frac{7}{8} \)
(b) 6% < 0.09
(c) \( \frac{7}{8}<8.0\times10^{-3} \)
(d) \( 8.0\times10^{-3}>6\% \)
Show Answer & Explanation
Answer: (b) 6% < 0.09
Explanation:
1. (A) 7/8 = 0.875, so 0.09 > 0.875 is false.
2. (B) 6% = 0.06 < 0.09, which is true.
3. (C) 8.0 × 10⁻³ = 0.008, and 0.875 < 0.008 is false. (D) 0.008 > 0.06 is false.
4. So (B) is true.
Teacher's Note:
1. Convert every number to a decimal.
2. 6% means 6/100.
(a) 22 : 29
(b) 26 : 61
(c) 29 : 22
(d) 61 : 26
Show Answer & Explanation
Answer: (c) 29 : 22
Explanation:
1. Take x = 5k and y = 2k.
2. 8x + 9y = 40k + 18k = 58k and 8x + 2y = 40k + 4k = 44k.
3. Ratio = 58 : 44 = 29 : 22.
Teacher's Note:
1. Substitute x = 5, y = 2 directly.
2. Reduce the final ratio by 2.
(a) Addition
(b) Subtraction
(c) Multiplication
(d) All of these
Show Answer & Explanation
Answer: (d) All of these
Explanation:
1. The sum, difference and product of two rational numbers are all rational numbers.
2. So closure holds for all of these (division is closed only for non-zero divisors).
Teacher's Note:
1. Closure means the result stays in the same set.
2. Check each operation with a quick example.
(a) The rational number O is the additive identity for rational numbers.
(b) The rational number 1 is the multiplicative identity for rational numbers.
(c) Subtraction is associative for rational numbers.
(d) There are infinite rational numbers between any two given rational numbers.
Show Answer & Explanation
Answer: (c) Subtraction is associative for rational numbers.
Explanation:
1. (A), (B) and (D) are true properties.
2. Subtraction is not associative: (8 − 4) − 2 = 2 but 8 − (4 − 2) = 6.
3. So the incorrect statement is (C).
Teacher's Note:
1. Test associativity with simple numbers.
2. Option (A) says 'O', which is meant to be 0.
Free study material for Mathematics
Download Chapter MCQs: Class 8 Mathematics Rational Numbers
Class 8 Mathematics Rational Numbers Objective Test Questions
Review structured objective questions for Class 8 Mathematics Rational Numbers. Built according to official CBSE guidelines, these MCQ sets support daily revision and core concept reinforcement.
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FAQs
You can get most exhaustive CBSE Class 8 Maths Advanced Rational Numbers MCQs Set 02 for free on StudiesToday.com. These MCQs for Class 8 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.
Yes, our CBSE Class 8 Maths Advanced Rational Numbers MCQs Set 02 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.
By solving our CBSE Class 8 Maths Advanced Rational Numbers MCQs Set 02, Class 8 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for Class 8 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.
Yes, you can also access online interactive tests for CBSE Class 8 Maths Advanced Rational Numbers MCQs Set 02 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.