SCERT D. El. Ed 2026 - General Mathematics

SCERT D. El. Ed 2026 – General Knowledge MCQs

SCERT D. El. Ed 2026 – General Knowledge MCQs

Fractions & Arithmetic

Q1. The simplest form of 18/24 is
  • A. 2/3
  • B. 3/4
  • C. 4/5
  • D. 5/6
Correct Answer: B. 3/4
Explanation: The Highest Common Factor of 18 and 24 is 6. Dividing both by 6 yields 3/4.
Q2. 3/4 + 1/4 equals
  • A. 1/2
  • B. 2/4
  • C. 1
  • D. 4/8
Correct Answer: C. 1
Explanation: These are like fractions, so you add the numerators directly: 3 + 1/4 = 4/4 = 1.
Q3. 2/3 + 1/6 equals
  • A. 1/2
  • B. 3/6
  • C. 5/6
  • D. 3/9
Correct Answer: C. 5/6
Explanation: The LCM of 3 and 6 is 6. Converting the fractions gives 4/6 + 1/6 = 5/6.
Q4. 5/8 – 1/4 equals
  • A. 1/4
  • B. 3/8
  • C. 4/4
  • D. 1/2
Correct Answer: B. 3/8
Explanation: Convert 1/4 into an equivalent fraction with a denominator of 8, which is 2/8. Then, 5/8 – 2/8 = 3/8.
Q5. 2/5 × 3/4 equals
  • A. 6/20
  • B. 3/10
  • C. 5/9
  • D. 8/15
Correct Answer: B. 3/10
Explanation: Multiply the numerators and denominators: 2 × 3/5 × 4 = 6/20. In its simplest form, it reduces to 3/10.
Q6. 3/5 ÷ 2/15 equals
  • A. 2/25
  • B. 6/75
  • C. 9/2
  • D. 1/2
Correct Answer: C. 9/2
Explanation: Multiply by the reciprocal of the divisor: 3/5 × 15/2 = 45/10 = 9/2.
Q7. The improper fraction 17/5 as a mixed number is
  • A. 23/5
  • B. 32/5
  • C. 31/5
  • D. 41/5
Correct Answer: B. 32/5
Explanation: Dividing 17 by 5 gives a quotient of 3 and a remainder of 2, which transforms to 32/5.
Q8. The mixed number 42/3 as an improper fraction is
  • A. 12/3
  • B. 14/3
  • C. 11/3
  • D. 8/3
Correct Answer: B. 14/3
Explanation: Convert the mixed number by evaluating (4 × 3) + 2/3 = 14/3.
Q9. Which of the following is the largest fraction?
  • A. 2/3
  • B. 3/4
  • C. 5/6
  • D. 7/12
Correct Answer: C. 5/6
Explanation: Finding a common denominator of 12 lets us compare: 2/3 = 8/12, 3/4 = 9/12, 5/6 = 10/12, and 7/12. The largest is 10/12, which is 5/6.
Q10. A proper fraction is one in which
  • A. numerator > denominator
  • B. numerator < denominator
  • C. numerator = denominator
  • D. denominator = 0
Correct Answer: B. numerator < denominator
Explanation: A proper fraction represents an amount less than 1, where the numerator is strictly less than the denominator.
Q11. 1/2 + 1/3 + 1/6 equals
  • A. 1/6
  • B. 5/6
  • C. 1
  • D. 3/11
Correct Answer: C. 1
Explanation: The common denominator is 6. Combining them: 3/6 + 2/6 + 1/6 = 6/6 = 1.
Q12. The reciprocal of 3/7 is
  • A. 3/7
  • B. 7/3
  • C. 10/3
  • D. –3/7
Correct Answer: B. 7/3
Explanation: The reciprocal of a fraction inverted flips its positions, turning p/q into q/p.
Q13. Half of 4/9 is
  • A. 2/9
  • B. 4/18
  • C. 1/9
  • D. 8/9
Correct Answer: A. 2/9
Explanation: Multiplied out: 1/2 × 4/9 = 4/18, which simplifies down to 2/9.
Q14. Sushma had 51/4 m of cloth and used 21/2 m. How much is left?
  • A. 23/4 m
  • B. 31/4 m
  • C. 2 m
  • D. 31/2 m
Correct Answer: A. 23/4 m
Explanation: Expressed as improper fractions: 21/4 – 10/4 = 11/4 = 23/4 m.
Q15. Which fraction is equivalent to 2/5?
  • A. 4/15
  • B. 6/15
  • C. 2/10
  • D. 3/10
Correct Answer: B. 6/15
Explanation: Multiplying both the top and bottom values by 3 expands the fraction to 6/15.
Q16. 7/10 as a decimal is
  • A. 0.07
  • B. 0.7
  • C. 7.0
  • D. 0.007
Correct Answer: B. 0.7
Explanation: Division by ten moves the decimal spot left one space: 7/10 = 0.7.
Q17. Find 3/4 of 80.
  • A. 40
  • B. 50
  • C. 60
  • D. 70
Correct Answer: C. 60
Explanation: Calculated out as 3/4 × 80 = 3 × 20 = 60.
Q18. Which is the smallest fraction?
  • A. 1/4
  • B. 1/3
  • C. 1/5
  • D. 1/2
Correct Answer: C. 1/5
Explanation: When the numerators are identical, a larger denominator creates a smaller overall piece value.
Q19. 21/3 + 11/6 equals
  • A. 31/2
  • B. 31/6
  • C. 32/9
  • D. 41/2
Correct Answer: A. 31/2
Explanation: Solved by finding common denominators: 7/3 + 7/6 = 14/6 + 7/6 = 21/6 = 7/2 = 31/2.

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