All Free Mathematics MCQs with Answers

• A. 2.3 m
• B. 4.6 m
• C. 7.8 m
• D. 9.2 m

Explanation: The 4.6 m distance is adjacent to the 60° angle, so cos 60° = 4.6 m ÷ ladder length; therefore ladder length = 4.6 m ÷ 0.5 = 9.2 m.

• A. 24/5 cm
• B. 12/5 cm
• C. 7/5 cm
• D. None of these

Explanation: AB and AC are each 6 cm, so triangle ABC is isosceles with sides 6 cm, 6 cm and BC.

• A. 4:8
• B. 1:4
• C. 6:2
• D. 3:1

Explanation: All squares have the same fixed relationship between side and diagonal, so if one diagonal is three times the other, its side is also…

• A. 3/2 cm
• B. 1/2 cm
• C. 3/4 cm
• D. 3 cm

Explanation: The altitude of an equilateral triangle is (√3/2) x side. Substituting the side 2√3 cm gives altitude = (√3/2) x 2√3 cm = 3 cm.

• A. 4/3 cm
• B. 3/4 cm
• C. 3 cm
• D. 4 cm

Explanation: The area of an equilateral triangle is (√3/4)s². Setting (√3/4)s² = 4√3 cm² gives s² = 16 cm², so s = 4 cm.

• A. 20 sq m
• B. 10 sq m
• C. 5 sq m
• D. 3 sq m

Explanation: The triangle area formula is 1/2 x base x height. Substituting base 4 m and height 5 m gives 1/2 x 4 m x 5 m = 10 m².

• A. 0.525cm
• B. 4.2cm
• C. 80%
• D. 60%

Explanation: For similar triangles, areas are proportional to the squares of corresponding heights.

• A. 9cm
• B. 10cm
• C. 11cm
• D. 12cm

Explanation: The ratio sum is 1/2 + 1/3 + 1/4 = 13/12. One ratio unit is therefore 52 cm ÷ (13/12) = 48 cm, and the smallest side is 1/4 × 48 cm = 12…

• A. 25 cm2
• B. 42 cm2
• C. 49 cm2
• D. None of these

Explanation: For any triangle, area = inradius x semiperimeter. The semiperimeter is 28 cm ÷ 2 = 14 cm, so the area is 2.5 cm x 14 cm = 35 cm2, which…

• A. 120 cm2
• B. 130 cm2
• C. 312 cm2
• D. 315 cm2

Explanation: The sides satisfy 10^2 + 24^2 = 26^2, so the triangle is right-angled with perpendicular sides 10 cm and 24 cm.

• A. 48√3 cm2
• B. 128√3 cm2
• C. 9.6√3 cm2
• D. 64√3 cm2

Explanation: The area of an equilateral triangle is (sqrt3/4) x side2. Thus area = (sqrt3/4) x (16 cm)2 = (sqrt3/4) x 256 cm2 = 64sqrt3 cm2.

• A. 37 ½ %
• B. 60 %
• C. 75 %
• D. none of these

Explanation: A 60% increase makes the length 1.6 times its original value. To keep the area constant, the width must become 1/1.6 = 0.625 of its…

• A. 33 1/3 %
• B. 9 1/11 %
• C. 11 1/9 %
• D. 66 2/3 %
• E. None

Explanation: After a 25% reduction, the new price is 75% of the original price. To restore it, the required increase is (100% - 75%)/75% x 100% = 25/75…

• A. Rs. 72
• B. Rs. 92
• C. Rs. 112.50
• D. Rs. 116.50Educational Resources

Explanation: For a 9% stock yielding 8%, let the market price be P per Rs. 100 stock. Then 9/P = 8/100, so P = (9 x Rs. 100) ÷ 8 = Rs. 112.50.

• A. Rs. 10,000
• B. Rs. 10,800
• C. Rs. 14,400
• D. Rs. 16,000Education

Explanation: To receive Rs. 1200 from a 12% stock, the nominal stock value must be Rs. 1200 ÷ 0.12 = Rs. 10000. The quotation of Rs.

• A. 7.50%
• B. 8%
• C. 9.70%
• D. None of these.Finance

Explanation: At Rs. 97 per Rs. 100 stock, Rs. 1552 purchases Rs. 1552 ÷ 97 x Rs. 100 = Rs. 1600 nominal stock. The dividend rate is therefore Rs.

• A. 6.06%
• B. 6.07%
• C. 6.08%
• D. 6.09%

Explanation: A nominal rate of 6% payable half-yearly means 3% per half-year, applied twice annually.

• A. 37.5%
• B. 48%
• C. 50.5%
• D. 52%

Explanation: Let the marked price be Rs. 100, so the cost price is Rs. 64. After a 12% discount, selling price = Rs. 100 x 0.88 = Rs.

• A. 2:3:5
• B. 3:4:7
• C. 4:5:9
• D. None of these

Explanation: Using capital-time products, A contributes Rs. 40,000 x 36 months = 1,440,000 Rs.-months, B contributes Rs. 80,000 x 12 months + Rs.

• A. Part
• B. Trap
• C. Cart
• D. Dart
• E. Mart

Explanation: Part, cart, dart and mart all end with the letters "art." Trap ends with "rap," so it does not follow the common letter pattern.