CBSE Class 8 Mathematics Rational Numbers MCQs Set 42

Mathematics Objective Questions and Answers: Rational Numbers

Explore reliable objective questions for Rational Numbers tailored for Class 8 learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Download Rational Numbers MCQs with Answers

Navigate directly to the 50 objective questions for Rational Numbers using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: Simplify \( \frac{-11}{2}+\frac{7}{6}+\frac{-5}{8} \) and write the result in the form p/q.
(a) \( -\frac{95}{24} \)
(b) \( -\frac{143}{24} \)
(c) \( \frac{119}{24} \)
(d) \( -\frac{119}{24} \)
Show Answer & Explanation

Answer: (d) \( -\frac{119}{24} \)

Explanation:
1. LCM of the denominators gives the common denominator.
2. The sum is \( -\frac{119}{24} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 2: Simplify \( \frac{-9}{10}+\frac{22}{15}+\frac{13}{-20} \) and write the result in the form p/q.
(a) \( \frac{11}{12} \)
(b) \( -\frac{1}{12} \)
(c) \( -\frac{13}{12} \)
(d) \( \frac{1}{12} \)
Show Answer & Explanation

Answer: (b) \( -\frac{1}{12} \)

Explanation:
1. LCM of the denominators gives the common denominator.
2. The sum is \( -\frac{1}{12} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 3: Simplify \( \frac{5}{6}+\frac{-2}{5}-\frac{-2}{15} \).
(a) \( -\frac{13}{30} \)
(b) \( \frac{17}{30} \)
(c) \( -\frac{17}{30} \)
(d) \( \frac{47}{30} \)
Show Answer & Explanation

Answer: (b) \( \frac{17}{30} \)

Explanation:
1. Common denominator 30: 25/30 - 12/30 + 4/30.
2. = 17/30.

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 4: Simplify \( \frac{3}{8}-\frac{-2}{9}+\frac{-5}{36} \).
(a) \( -\frac{13}{24} \)
(b) \( \frac{11}{24} \)
(c) \( \frac{35}{24} \)
(d) \( -\frac{11}{24} \)
Show Answer & Explanation

Answer: (b) \( \frac{11}{24} \)

Explanation:
1. Common denominator 72: 27/72 + 16/72 - 10/72.
2. = 33/72 = 11/24.

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 5: Multiply \( \frac{7}{11} \) by \( \frac{5}{4} \).
(a) \( -\frac{9}{44} \)
(b) \( \frac{35}{44} \)
(c) \( \frac{79}{44} \)
(d) \( -\frac{35}{44} \)
Show Answer & Explanation

Answer: (b) \( \frac{35}{44} \)

Explanation:
1. Product = (numerator x numerator) / (denominator x denominator).
2. Reducing to lowest terms gives \( \frac{35}{44} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 6: Multiply \( \frac{5}{7} \) by \( -\frac{3}{4} \).
(a) \( -\frac{43}{28} \)
(b) \( -\frac{15}{28} \)
(c) \( \frac{13}{28} \)
(d) \( \frac{15}{28} \)
Show Answer & Explanation

Answer: (b) \( -\frac{15}{28} \)

Explanation:
1. Product = (numerator x numerator) / (denominator x denominator).
2. Reducing to lowest terms gives \( -\frac{15}{28} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 7: Multiply \( -\frac{2}{9} \) by \( \frac{5}{11} \).
(a) \( \frac{89}{99} \)
(b) \( \frac{10}{99} \)
(c) \( -\frac{10}{99} \)
(d) \( -\frac{109}{99} \)
Show Answer & Explanation

Answer: (c) \( -\frac{10}{99} \)

Explanation:
1. Product = (numerator x numerator) / (denominator x denominator).
2. Reducing to lowest terms gives \( -\frac{10}{99} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 8: Multiply \( -\frac{9}{7} \) by \( -\frac{36}{11} \).
(a) \( -\frac{324}{77} \)
(b) \( \frac{324}{77} \)
(c) \( \frac{247}{77} \)
(d) \( \frac{401}{77} \)
Show Answer & Explanation

Answer: (b) \( \frac{324}{77} \)

Explanation:
1. Product = (numerator x numerator) / (denominator x denominator).
2. Reducing to lowest terms gives \( \frac{324}{77} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 9: Multiply \( -\frac{11}{13} \) by \( -3 \).
(a) \( -\frac{33}{13} \)
(b) \( \frac{33}{13} \)
(c) \( \frac{46}{13} \)
(d) \( \frac{20}{13} \)
Show Answer & Explanation

Answer: (b) \( \frac{33}{13} \)

Explanation:
1. Product = (numerator x numerator) / (denominator x denominator).
2. Reducing to lowest terms gives \( \frac{33}{13} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 10: Multiply \( -\frac{3}{5} \) by \( -\frac{4}{7} \).
(a) \( \frac{47}{35} \)
(b) \( \frac{12}{35} \)
(c) \( -\frac{23}{35} \)
(d) \( -\frac{12}{35} \)
Show Answer & Explanation

Answer: (b) \( \frac{12}{35} \)

Explanation:
1. Product = (numerator x numerator) / (denominator x denominator).
2. Reducing to lowest terms gives \( \frac{12}{35} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 11: Multiply \( -\frac{15}{11} \) by \( 7 \).
(a) \( -\frac{105}{11} \)
(b) \( -\frac{94}{11} \)
(c) \( -\frac{116}{11} \)
(d) \( \frac{105}{11} \)
Show Answer & Explanation

Answer: (a) \( -\frac{105}{11} \)

Explanation:
1. Product = (numerator x numerator) / (denominator x denominator).
2. Reducing to lowest terms gives \( -\frac{105}{11} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 12: Simplify \( -\frac{16}{21}\times\frac{14}{5} \) and express it in standard form.
(a) \( -\frac{17}{15} \)
(b) \( \frac{32}{15} \)
(c) \( -\frac{47}{15} \)
(d) \( -\frac{32}{15} \)
Show Answer & Explanation

Answer: (d) \( -\frac{32}{15} \)

Explanation:
1. Multiply the numerators and the denominators, then divide by the common factors.
2. Standard form (positive denominator, lowest terms): \( -\frac{32}{15} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 13: Simplify \( -\frac{19}{36}\times16 \) and express it in standard form.
(a) \( -\frac{76}{9} \)
(b) \( -\frac{85}{9} \)
(c) \( \frac{76}{9} \)
(d) \( -\frac{67}{9} \)
Show Answer & Explanation

Answer: (a) \( -\frac{76}{9} \)

Explanation:
1. Multiply the numerators and the denominators, then divide by the common factors.
2. Standard form (positive denominator, lowest terms): \( -\frac{76}{9} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 14: Simplify \( -\frac{13}{9}\times-\frac{27}{26} \) and express it in standard form.
(a) \( \frac{1}{2} \)
(b) \( -\frac{3}{2} \)
(c) \( \frac{3}{2} \)
(d) \( \frac{5}{2} \)
Show Answer & Explanation

Answer: (c) \( \frac{3}{2} \)

Explanation:
1. Multiply the numerators and the denominators, then divide by the common factors.
2. Standard form (positive denominator, lowest terms): \( \frac{3}{2} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 15: Simplify \( -\frac{9}{16}\times\frac{64}{27} \) and express it in standard form.
(a) \( -\frac{7}{3} \)
(b) \( \frac{4}{3} \)
(c) \( -\frac{4}{3} \)
(d) \( -\frac{1}{3} \)
Show Answer & Explanation

Answer: (c) \( -\frac{4}{3} \)

Explanation:
1. Multiply the numerators and the denominators, then divide by the common factors.
2. Standard form (positive denominator, lowest terms): \( -\frac{4}{3} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 16: Simplify \( -\frac{50}{7}\times\frac{14}{3} \) and express it in standard form.
(a) \( \frac{100}{3} \)
(b) \( -\frac{97}{3} \)
(c) \( -\frac{103}{3} \)
(d) \( -\frac{100}{3} \)
Show Answer & Explanation

Answer: (d) \( -\frac{100}{3} \)

Explanation:
1. Multiply the numerators and the denominators, then divide by the common factors.
2. Standard form (positive denominator, lowest terms): \( -\frac{100}{3} \).

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 17: Simplify \( \left(\frac{25}{8}\times\frac{2}{5}\right)-\left(\frac{3}{5}\times\frac{-10}{9}\right) \).
(a) \( \frac{35}{12} \)
(b) \( -\frac{23}{12} \)
(c) \( \frac{11}{12} \)
(d) \( \frac{23}{12} \)
Show Answer & Explanation

Answer: (d) \( \frac{23}{12} \)

Explanation:
1. 25/8 x 2/5 = 5/4 and 3/5 x (-10/9) = -2/3.
2. Value = 5/4 + 2/3 = 23/12.

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 18: Simplify \( \left(\frac{1}{2}\times\frac{1}{4}\right)+\left(\frac{1}{2}\times 6\right) \).
(a) \( \frac{33}{8} \)
(b) \( \frac{17}{8} \)
(c) \( -\frac{25}{8} \)
(d) \( \frac{25}{8} \)
Show Answer & Explanation

Answer: (d) \( \frac{25}{8} \)

Explanation:
1. 1/8 + 3 = 25/8.

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 19: Simplify \( \left(\frac{13}{5}\times\frac{8}{3}\right)-\left(\frac{-5}{2}\times\frac{11}{3}\right) \).
(a) \( \frac{151}{10} \)
(b) \( -\frac{161}{10} \)
(c) \( \frac{161}{10} \)
(d) \( \frac{171}{10} \)
Show Answer & Explanation

Answer: (c) \( \frac{161}{10} \)

Explanation:
1. 13/5 x 8/3 = 104/15 and (-5/2) x 11/3 = -55/6.
2. Value = 104/15 + 55/6 = (208 + 275)/30 = 483/30 = 161/10.

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Question 20: Which of the following rational numbers does not have a reciprocal?
(a) 0
(b) -1
(c) 1
(d) 1/2
Show Answer & Explanation

Answer: (a) 0

Explanation:
1. The reciprocal of a is 1/a, which is undefined when a = 0.
2. So 0 has no reciprocal.

Teacher's Note:
1. Bring all fractions to a common denominator before adding or subtracting.
2. Check the sign of each term carefully; most mistakes come from dropping a minus sign.

Free study material for Mathematics

Download Chapter MCQs: Class 8 Mathematics Rational Numbers

About Rational Numbers MCQs for Class 8 Mathematics

Test your conceptual understanding of Rational Numbers with these targeted multiple-choice questions. Designed in alignment with the latest CBSE curriculum for Class 8 Mathematics, these problem sets build accuracy and prepare students for objective exams.

How to Verify Your MCQ Answers

Each question includes structured solution keys mapped directly to standard CBSE textbooks, helping students evaluate their reasoning and correct mistakes early in their revision.

Enhance Speed with Online MCQ Tests

Follow up your worksheet practice by attempting the interactive online Mathematics MCQ test for this chapter to evaluate your execution speed. All platform resources are free to access.

FAQs

Where can I access latest CBSE Class 8 Mathematics Rational Numbers MCQs Set 42?

You can get most exhaustive CBSE Class 8 Mathematics Rational Numbers MCQs Set 42 for free on StudiesToday.com. These MCQs for Class 8 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 8 material?

Yes, our CBSE Class 8 Mathematics Rational Numbers MCQs Set 42 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in Class 8 exams?

By solving our CBSE Class 8 Mathematics Rational Numbers MCQs Set 42, 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.

Do you provide answers and explanations for CBSE Class 8 Mathematics Rational Numbers MCQs Set 42?

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.

Can I practice these Mathematics Class 8 MCQs online?

Yes, you can also access online interactive tests for CBSE Class 8 Mathematics Rational Numbers MCQs Set 42 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.