Practice Fractions MCQs for PPSC Agriculture Officer (BS-17) Mathematics — topic-wise sets with solved answers.
Q1. The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Answer: 05-Sep
Explanation: Let numerator = n; denominator = 2n − 1; (n+1)/(2n) = 3/5 → 5n + 5 = 6n → n = 5, so fraction = 5/9.
Q2. 60% of a number is added to 120, the result is the same number. Find the number?
Answer: 300
Explanation: 0.60x + 120 = x → 120 = 0.40x → x = 300.
Q3. If a fraction is multiplied by itself and the product is divided by its reciprocal, the result is 18 26/27. What is the original fraction?
Answer: 2 2/3
Explanation: The correct value is 2 2/3. Apply the formula or arithmetic step shown in the question and
Q4. Three-fourths of a number is 60 more than one-third of the same number. What is the number?
Answer: 144
Explanation: The correct value is 144. Apply the formula or arithmetic step shown in the question and
Q5. Solve: 1/10 × 3/5 × 6/5.
Answer: 9/125
Explanation: 1/10 × 3/5 × 6/5 = 18/250 = 9/125. Show the calculation clearly when solving similar quantitative items.
Q6. If Afnan drives at 4/5th of his usual speed to his office, he is 6 minutes late. What is his usual time to reach his office?
Answer: 24 minutes
Explanation: At 4/5 speed, time becomes 5/4 of usual, so the extra 1/4 of usual time equals 6 minutes, giving a usual time of 24 minutes.
Q7. If 35% of a number is 12 less than 50% of that number, then the number is_________?
Answer: 80
Explanation: Setting up 0.50N − 0.35N = 12 gives 0.15N = 12, so N = 80.
Q8. The numerator of a fraction is 5 less than the denominator. If 1 is added to both the numerator and the denominator, the fraction becomes 2/3. What is the original fraction?
Answer: Sep-14
Explanation: Let denominator = d, numerator = d−5; (d−5+1)/(d+1) = 2/3 → 3(d−4) = 2(d+1) → d = 14; fraction = 9/14.
Q9. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -. Probability
Answer: Jan-36
Explanation: All three dice show the same number in 6 ways (one for each face); total outcomes = 6³ = 216; probability = 6/216 = 1/36.
Q10. A man waited for 1/3 of an hour and then got a ride for 1/2 of an hour. What fraction of the total time did he spend riding?
Answer: 03-May
Explanation: Total time = 1/3 + 1/2 = 5/6 hours; riding time = 1/2 hour, so the fraction spent riding is (1/2) ÷ (5/6) = 3/5.
Q11. 12 3/4 * (1 2/17 / 8 1/6) / 5 4/3 = __________?
Answer: 27/98
Explanation: Converting to improper fractions and simplifying: (51/4) × (19/17 ÷ 49/6) ÷ (19/3) = 27/98.
Q12. How much is 80% of 40 is greater than 4/5 of 25?
Answer: 12
Explanation: 80% of 40 equals 32, and 4/5 of 25 equals 20. The difference is 32 − 20 = 12.
Q13. When 30% of a number is subtracted from 91, the result is the number itself. What is the number?
Answer: 70
Explanation: The correct value is 70. Apply the formula or arithmetic step shown in the question and
Q14. Which of the following fractions has the smallest value'?
Answer: 01-Aug
Explanation: Converting each fraction to a decimal, 1/8 ≈ 0.125 is the smallest among the given options.
Q15. What fraction of a cake remains when 3/8 of the cake has been eaten?
Answer: 05-Aug
Explanation: If 3/8 of the cake has been eaten, the remaining fraction = 1 − 3/8 = 5/8.
Q16. How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Answer: 99
Explanation: Area of each stone = 2.5 × 2 = 5 m²; courtyard area = 30 × 16.5 = 495 m²; number of stones = 495/5 = 99.
Q17. What is the value of 2/3 × 3/4 × 4/5?
Answer: 02-May
Explanation: Multiplying the fractions sequentially: 2/3 × 3/4 = 1/2, then 1/2 × 4/5 = 2/5.
Q18. If 4% of a number is 120, what is the number?
Answer: 3000
Explanation: If 4% of a number equals 120, dividing both sides by 0.04 gives the number as 3000.
Q19. What fraction is equivalent to six-tenths?
Answer: 06-Oct
Explanation: Six-tenths written as a fraction is 6/10, which can also be expressed as 3/5.
Q20. If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction. Fractions
Answer: 1/12.
Explanation: After adjustments (×1.2 numerator, ×0.75 denominator), the new fraction = 2/15; solving back gives the original fraction = 1/12.
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