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MCQ Practice

Mathematics MCQs

The price of an item is increased by 15%. By what percent must consumption be reduced to keep expenditure constant?

  • A. 10 20/23 %
  • B. 13 1/23 %
  • C. 16 2/3 %
  • D. 15 %
Explanation:
Reduction = 15/115 ×100 = 13 1/23%.

The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum is ____.

  • A. Rs. 1325
  • B. Rs. 1300
  • C. Rs. 1350
  • D. Rs. 1500
Explanation:
Discounting each installment at 4% yields a present value of Rs. 1325.

The present average age of a family of five is 26 years. If conditions change, what is the new average?

  • A. 18 years
  • B. 14 years
  • C. 20 years
  • D. 16 years
Explanation:
Based on the given adjustments, the new average becomes 20 years.

The present average age of a couple and their daughter is 35 years. After 15 years, what will their average age be?

  • A. 43 years
  • B. 40 years
  • C. 48 years
  • D. 45 years
Explanation:
Each person ages by 15 years, so the average increases by 15.

The population of a town increased from 175000 to 262500 in 10 years. Find the average annual percentage increase.

  • A. 4.37%
  • B. 5%
  • C. 6%
  • D. 8.75%
Explanation:
Using the compound growth formula gives ≈ 5% annually.

A rectangular area is drawn to a scale of 1:500. If the drawing dimensions are given, what is the actual area?

  • A. 1200 m²
  • B. 1500 m²
  • C. 12000 m²
  • D. 15000 m²
Explanation:
Area scales as the square of the scale factor → actual area = 15000 m².

The perimeters of two squares are 48 cm and 20 cm. Find the difference in their sides.

  • A. 15√2 cm
  • B. 13√2 cm
  • C. 16√2 cm
  • D. 17√2 cm
Explanation:
Side = perimeter/4; difference leads to 13√2 cm.

The perimeters of a circular field and a square field are equal. If the area of the square is given, what is the area of the circle?

  • A. 15500 sq m
  • B. 15400 sq m
  • C. 15200 sq m
  • D. 15300 sq m
Explanation:
Equating the perimeters and solving for the area yields an area ≈ of 15400 m².

The perimeter of a triangle is 28 cm, and its inradius is 2.5 cm. Find its area.

  • A. 25 cm²
  • B. 42 cm²
  • C. 49 cm²
  • D. 35 cm²
Explanation:
Area = r × semi-perimeter = 2.5 × 14 = 35 cm².

The perimeter of a semicircle is 144 cm. What is the radius?

  • A. 25 cm
  • B. 28 cm
  • C. 30 cm
  • D. 35 cm
Explanation:
Perimeter = πr + 2r; solving gives r = 28 cm.