All Free Mathematics MCQs with Answers

• A. 30
• B. 36
• C. 42
• D. 48

Explanation: 15% of 240 = (15 ÷ 100) × 240 = 36. A faster route in the exam hall: 10% of 240 is 24 and 5% is half of that, 12, so 15% is 24 + 12 = 36.

• A. Rs. 100
• B. Rs. 120
• C. Rs. 160
• D. Rs. 200

Explanation: The ratio has 3 + 5 = 8 parts, so one part is 320 ÷ 8 = 40. The smaller share is 3 × 40 = Rs. 120 and the larger is 5 × 40 = Rs.

• A. 12%
• B. 15%
• C. 18%
• D. 20%

Explanation: Profit = 920 − 800 = Rs. 120. Profit percentage is always calculated on cost price: (120 ÷ 800) × 100 = 15%.

• A. 72
• B. 80
• C. 90
• D. 95

Explanation: Average = sum ÷ count, so sum = average × count = 18 × 5 = 90. Rearranging this single relation solves nearly every averages question in…

• A. 60 km/h
• B. 70 km/h
• C. 80 km/h
• D. 90 km/h

Explanation: Speed = distance ÷ time = 240 ÷ 3 = 80 km/h. Note that this is average speed; the car’s instantaneous speed may have varied throughout the…

• A. 5 days
• B. 6 days
• C. 8 days
• D. 12 days

Explanation: Work with rates, not days. A does 1/10 of the job per day and B does 1/15.

• A. 3
• B. 5
• C. 7
• D. 9

Explanation: Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5. Substituting back gives 3(5) + 7 = 22, confirming the answer.

• A. 10
• B. 8
• C. 9
• D. None of TheseInteractive math quizzes

Explanation: Since n((AUB)') = 10 and n(U) = 60, n(AUB) = 60 - 10 = 50. Using n(AUB) = n(A) + n(B) - n(A∩B), we get 50 = 35 + 24 - n(A∩B), so n(A∩B) =…

• A. 45434 square foot
• B. 34343 square foot
• C. 43572 square foot
• D. 43560 square foot

Explanation: The standard land-area conversion is 1 acre = 43,560 square feet. Therefore the correct value is 43,560 square foot, not 43,572 square…

• A. 25 %
• B. 55%
• C. 40.5 %
• D. 56.25 %Quiz Mode Feature

Explanation: If the original side is s units, the new side is 1.25s units. Area changes by the square of the side factor, so the new area is (1.25)^2s²…

• A. 1 Hectometers
• B. 2 Hectometers
• C. 3 Hectometers
• D. 4 Hectometers

Explanation: One decameter equals 10 meters, so 10 decameters = 10 × 10 meters = 100 meters.

• A. 9 %
• B. 30 %
• C. 60 %
• D. 69 %Primary & Secondary Schooling (K-12)

Explanation: If the original side is s, the new side is 1.30s. The area changes from s² to (1.30s)² = 1.69s², so the increase is 1.69 − 1 = 0.69 = 69%.

• A. 1200 m²
• B. 1500 m²
• C. 12000 m²
• D. 15000 m²

Explanation: A scale of 1:500 makes the actual length 30 cm × 500 = 15,000 cm = 150 m and the actual breadth 20 cm × 500 = 10,000 cm = 100 m.

• A. 54 cm
• B. 27 cm
• C. 12 cm
• D. 15 cm

Explanation: Let the length and breadth be 5k cm and 4k cm. Since the area is 180 cm², 5k × 4k = 20k² = 180, so k² = 9 and k = 3 cm; the sides are 15…

• A. 1.4 m
• B. 2.8 m
• C. 14 m
• D. None of these

Explanation: Convert the capacity: 246.4 L = 0.2464 m³. Using V = πr²h, r² = 0.2464 m³ ÷ (4 m x 22/7) = 0.0196 m², so r = 0.14 m and diameter = 2 x…

• A. 12 kg
• B. 60 kg
• C. 72 kg
• D. 96 kg

Explanation: The sinking displaces water with volume 3 m x 2 m x 0.01 m = 0.06 m3. Since floating equilibrium makes the displaced water's mass equal to…

• A. the volume of the box
• B. twice the volume of the box
• C. the square of the volume of the box
• D. the cube root of the volume of the box

Explanation: If the box edges are a, b and c, the three adjacent face areas are ab, bc and ca.

• A. 24 cm3
• B. 48 cm3
• C. 64 cm3
• D. 120 cm3

Explanation: Let the edges be x cm, 2x cm and 3x cm. The total surface area is 2(x x 2x + 2x x 3x + 3x x x) = 22x2 cm2, so 22x2 cm2 = 88 cm2 gives x =…

• A. 8
• B. 16
• C. 27
• D. 64

Explanation: A cube's space diagonal is a√3, where a is its edge. Thus a√3 cm = 4√3 cm gives a = 4 cm, and its volume is a3 = 4 cm x 4 cm x 4 cm = 64…

• A. 6
• B. 9
• C. 24
• D. 30

Explanation: To obtain the least number of equal cubes, use the largest cube edge that divides all three dimensions: gcd(6 cm, 9 cm, 12 cm) = 3 cm.