All Free Mathematics MCQs with Answers

• A. neither increased nor decreased
• B. increased by 1 %
• C. decreased by 1 %
• D. decreased by 10 %

Explanation: Let the original area be L × B. The new area is 1.10L × 0.90B = 0.99LB, so it is 1% less than the original area.

• A. 6 %
• B. 7 %
• C. 8 %
• D. 9 %

Explanation: Initially, CB = 5 cm − 3 cm = 2 cm. Increasing AC by 6% gives 3 cm × 1.06 = 3.18 cm, so CB becomes 5 cm − 3.18 cm = 1.82 cm; the decrease…

• A. Rs. 15
• B. Rs. 12
• C. Rs. 10
• D. Rs. 8

Explanation: Let the original price be Rs. p per kg. At this price, Rs. 120 buys 120/p kg; after a 20% reduction, the price is Rs.

• A. 200 gm
• B. 150 gm
• C. 50 gm
• D. 10 gm

Explanation: Initially, gold weighs 80% of 50 g, so gold = 0.8 × 50 g = 40 g and silver = 10 g.

• A. 50
• B. 72
• C. 75
• D. 76

Explanation: Take the numbers of boys and girls as 3x and 2x, giving 5x students. Scholarship holders are 20% of 3x = 0.6x and 30% of 2x = 0.6x, so…

• A. Rs. 350
• B. Rs. 390
• C. Rs. 252
• D. Rs. 316

Explanation: Ram saves the remaining 100% − 65% = 35% of his Rs. 720 income. His saving is 35/100 × Rs. 720 = Rs. 252. Students may choose Rs.

• A. 500
• B. 1200
• C. 1000
• D. 1625

Explanation: If 65% passed, then 35% failed. Therefore, 35% of the total is 420 examinees, so the total is 420 ÷ 0.35 = 1,200 examinees.

• A. 10 %
• B. 15 %
• C. 20 %
• D. 25 %

Explanation: Taking the third number as q, the first number is 70% of q and the second is 63% of q.

• A. 33 1/3 %
• B. 11 1/9 %
• C. 9 1/11 %
• D. 66 2/3 %

Explanation: After a 25% reduction, the new price is 75% of the original price. To recover the missing 25% using the new price as the base, the…

• A. 83 1/3
• B. 16 2/3
• C. 90
• D. 60Fun & Trivia

Explanation: If p = 6q, then q = p/6. The amount by which q is less than p is p − p/6 = 5p/6, and as a percentage of p this is (5p/6) ÷ p × 100 = 83…

• A. 9.8
• B. 10
• C. 10.5
• D. 10.8

Explanation: Each year the population is multiplied by 1.04 and then by 0.995, giving a yearly factor of 1.035.

• A. 10 % increase
• B. 10 % decrease
• C. 16 % increase
• D. 16 % decrease

Explanation: Take the original price and sales as 100 units each, so original revenue is 100 x 100 = 10,000 revenue units.

• A. No change
• B. 5 % decrease
• C. 4 % increase
• D. 4 % decrease

Explanation: If the original tax and consumption are 100 units each, the original expenditure is 10,000 expenditure units.

• A. 15 %
• B. 20 %
• C. 25%
• D. 30%

Explanation: Let the original price and quantity be Rs. 100 and 100 units, giving expenditure of Rs. 10,000. After a 25% price rise, the price is Rs.

• A. 144
• B. 72
• C. 36
• D. none of these

Explanation: If 200% of the number is 90, then the number is 90 / 2 = 45. Therefore, 80% of it is 0.8 x 45 = 36.

• A. 11250
• B. 15000
• C. 26250
• D. 37500

Explanation: The losing candidate receives 30%, so the winning candidate receives 70%; their difference is 40% of the total votes.

• A. 600
• B. 800
• C. 925
• D. 1200Pakistan Studies Quiz

Explanation: The winning margin is 62% - 38% = 24% of the total votes. Since 24% equals 144 votes, the total is 144 / 0.24 = 600 votes.

• A. 20%
• B. 25 %
• C. 28%
• D. 30%

Explanation: The difference between the two students' scores is 32% - 20% = 12% of the total marks, and this difference is 30 + 42 = 72 marks.

• A. 150
• B. 200
• C. 225
• D. 300

Explanation: Let the number be x. The equation is 75% of x + 75 = x, so x - 0.75x = 75, giving 0.25x = 75 and x = 300.

• A. Rs. 6500
• B. Rs. 7225
• C. Rs. 8700
• D. Rs. 1390

Explanation: The total spent is 40% + 25% + 15% + 5% = 85%, leaving 15% of the original money. Since 15% equals Rs. 1,305, the original amount is Rs.