All Free Mathematics MCQs with Answers

• A. x = 20, y = 20
• B. x = 20, y = 40
• C. x = 20, y = 80
• D. Cannot be determined

Explanation: x% of 80 is 80x/100 = 0.8x, while 20% of y is 20y/100 = 0.2y. Thus 0.8x = 0.2y, giving y = 4x, so many pairs are possible and the exact…

• 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. After the changes, the new area is 110% of L × 90% of B, so it is 1.10 × 0.90 = 0.99 times the original…

• A. 1.01%
• B. 5.01%
• C. 3.01%
• D. 2.01%

Explanation: If the original radius is r, the new radius is 1.01r. Since area is proportional to the square of the radius, the new area is (1.01)²A =…

• A. 52.65
• B. 56.25
• C. 50.75
• D. 42.75

Explanation: Let the original side be s, so the new side is 1.25s. The new area is (1.25s)² = 1.5625s², which is 56.25% greater than s².

• A. 27.5%
• B. 37.5%
• C. 47.5%
• D. 57.5%

Explanation: If the original area is A, the new length and breadth make the area 1.10A x 1.25 = 1.375A. The increase is 0.375A, or 37.5%.

• A. Remains same
• B. 5% decrease
• C. 5% increase
• D. 10% increase

Explanation: The new area factor is 1.25 x 0.80 = 1.00, so the area remains unchanged.

• A. 25% increase
• B. 50% increase
• C. 50% decrease
• D. 75% decrease

Explanation: If the original area is L x B, the new area is (L/2) x (3B) = 3LB/2, or 1.5 times the original.

• A. Increased by 4%
• B. decreased by 4%
• C. Decreased by 1%
• D. Remains unchanged

Explanation: Take the original length and breadth as L and B, so the original area is LB.

• A. 20%
• B. 24%
• C. 36%
• D. 44%

Explanation: If both dimensions are increased by 20%, each becomes 1.20 times its original value.

• A. Kept unchanged
• B. Increased by 25%
• C. Increased by 20%
• D. Reduced by 20%

Explanation: Let the original length and width be L and W, so the area is LW. After the length becomes 1.25L, the width must be LW ÷ 1.25L = 0.80W…

• A. 4000
• B. 4400
• C. 5000
• D. 5400

Explanation: Rs. 3300 is 75% of the monthly income, so the full income is Rs. 3300 / 0.75 = Rs. 4400. Equivalently, 75% means three-fourths, so Rs.

• A. 31000
• B. 41250
• C. 31250
• D. None of These

Explanation: A 20% loss means the selling price is 80% of the cost price. Therefore, 25,000 Rs = 0.8 x cost price, so cost price = 25,000 Rs / 0.8 =…

• A. Rs.50
• B. Rs.60
• C. Rs.80
• D. Rs.90

Explanation: Let the cost price of each clock be x Rs. The actual total selling price is 40 x 1.10x + 50 x 1.20x = 104x Rs, while selling all 90 clocks…

• A. 51:52
• B. 52:53
• C. 51:53
• D. 52:55

Explanation: The difference between the selling prices is the difference in profit, which is 6% - 4% = 2% of the cost price.

• A. Rs. 50
• B. Rs. 160
• C. Rs. 200
• D. Rs. 225

Explanation: The selling prices differ by 350 Rs - 340 Rs = 10 Rs, which represents 5% of the cost price.

• A. no profit, no loss
• B. 20% profit
• C. less than 20% profit
• D. more than 20% profit

Explanation: Let the article's value be V Rs. The cost price is 90% of V, or 0.9V Rs, and the selling price is 110% of V, or 1.1V Rs, so the gain is…

• A. Rs. 15
• B. Rs. 16
• C. Rs. 17
• D. Rs. 18Language Resources

Explanation: Let the manufacturer's cost price be Rs. 100. After profits of 18%, 20% and 25%, the customer price becomes Rs.

• A. Rs. 110
• B. Rs. 120
• C. Rs. 125
• D. Rs. 150General Reference

Explanation: If A's cost price is x, C pays x x 1.20 x 1.25 = Rs. 1.50x. Therefore x = Rs. 225 / 1.50 = Rs. 150. The likely wrong choice is Rs.

• A. 8
• B. 10
• C. 11
• D. 12Everyday Science Quiz

Explanation: Assume the cost of 100 units of goods is Rs. 100. A 10% profit gives a selling price of Rs.

• A. Rs. 110
• B. Rs. 120
• C. Rs. 140
• D. None of these

Explanation: The mixture's cost price is Rs. 177 per kg / 1.18 = Rs. 150 per kg. For 2 kg at Rs. 200 per kg and 3 kg at Rs. x per kg, (2 x Rs.