All Free Mathematics MCQs with Answers
Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
1,551 questions · page 41 of 78
- A. -21
- B. 1
- C. 61
- D. 21
Explanation: For x² - 9x + 20 = 0, the sum of roots is a + b = 9 and their product is ab = 20.
Correct answer: 61- A. 29
- B. 27
- C. 28
- D. 7
Explanation: Let the two roots be t and 3t. Their sum is t + 3t = 12, so 4t = 12 and t = 3; the roots are therefore 3 and 9, whose product is a = 3 x 9…
Correct answer: 27- A. 9, 10
- B. 10, 11
- C. 11, 12
- D. 12, 13
Explanation: Let the consecutive positive integers be n and n + 1. Their square sum exceeds their product by n² + (n + 1)² - n(n + 1) = n² + n + 1 =…
Correct answer: 9, 10804. If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
- A. 3
- B. 4
- C. 5
- D. 6Enrolling In Online Certification Courses
Explanation: If the roots are 2k and 3k, their sum is 5k = 5/2 because the sum of roots is 5/2, so k = 1/2.
Correct answer: 3- A. 10, 3
- B. -10, 3
- C. -20, 3
- D. -10, -3
Explanation: For a quadratic x² + 20x + 3 = 0, the sum of roots is -20 and the product of roots is 3, using the relations -coefficient of x and…
Correct answer: -20, 3- A. x2 + 13x - 140 = 0
- B. x2 - 13x + 140 = 0
- C. x2 - 13x - 140 = 0
- D. x2 + 13x + 140 = 0
Explanation: A monic quadratic with roots 20 and -7 is (x - 20)(x + 7) = 0. Expanding gives x² - 13x - 140 = 0, since the sum of roots is 13 and the…
Correct answer: x2 - 13x - 140 = 0- A. rational and unequal
- B. complex
- C. real and equal
- D. irrational and unequal
Explanation: The discriminant of 3x² - 12x + 10 = 0 is D = (-12)² - 4 x 3 x 10 = 144 - 120 = 24.
Correct answer: irrational and unequal- A. 3, -3/2
- B. 3/2, -3
- C. -3/2, -3
- D. 3/2, 3
Explanation: For 2x^2 + 3x - 9 = 0, factorisation gives (2x - 3)(x + 3) = 0. Hence x = 3/2 or x = -3.
Correct answer: 3/2, -3- A. -5, 3
- B. 3, 5
- C. -3, 5
- D. -3, -5
Explanation: The equation x^2 + 2x - 15 = 0 factors as (x + 5)(x - 3) = 0. Therefore the roots are x = -5 and x = 3.
Correct answer: -5, 3- A. 3.2 cm
- B. 1.82 cm
- C. 2.54 cm
- D. 6.9 cm
Explanation: The standard length conversion is 1 inch = 2.54 cm. Therefore, option c is correct.
Correct answer: 2.54 cm- A. 9
- B. 12
- C. 15
- D. 18
Explanation: The ratio 3:5 contains 8 total parts, so each part represents 24 people / 8 = 3 people. Women represent 5 parts, giving 5 x 3 = 15 people.
Correct answer: 15- A. hq
- B. hq2
- C. 1/hq
- D. h/q
Explanation: Solving q questions in 1/h hour gives a rate of q questions / (1/h hour) = hq questions per hour.
Correct answer: hq2- A. 20
- B. 18
- C. 32
- D. 20
Explanation: The rice consumption rate is 20 kg ÷ (18 men × 3 days) = 20 kg ÷ 54 man-days.
Correct answer: 18- A. 20 days
- B. 18 days
- C. 28 days
- D. 36 days
Explanation: The available food represents 600 men × 30 days = 18,000 man-days. With 600 + 400 = 1,000 men, it will last 18,000 man-days ÷ 1,000 men =…
Correct answer: 18 days815. If 25 men can eat 150 kg of wheat in 30 days then 45 men can eat 450 kg of wheat in how many days?
- A. 13 days
- B. 50 days
- C. 15 days
- D. 18 days
Explanation: The wheat consumption rate is 150 kg ÷ (25 men × 30 days). The time for 45 men to consume 450 kg is 450 kg × (25 men × 30 days) ÷ (150 kg…
Correct answer: 50 days- A. 20 days
- B. 30 days
- C. 35 days
- D. 50 days
Explanation: The original provisions equal 1,200 boarders × 30 days = 36,000 boarder-days.
Correct answer: 30 days- A. 20 days
- B. 25 days
- C. 18 days
- D. 16 days
Explanation: After 1 day, the remaining food represents 12 person-days for every original person, because the total supply was 13 person-days and 1…
Correct answer: 20 days- A. 25 days
- B. 28 days
- C. 30 days
- D. 32 days
Explanation: The total supply is 24 men × 29 days = 696 man-days. In the first 4 days, 24 × 4 = 96 man-days are used, leaving 600 man-days; after 1/6…
Correct answer: 30 days- A. 30
- B. 45
- C. 60
- D. 50
Explanation: Fifteen cattle graze 1 field in 20 days, so one field requires 15 × 20 = 300 cattle-days.
Correct answer: 45820. 5kg food is consumed by 50 chickens in 2 days. 60 chickens will consume how much food in 6 days.
- A. 2 kg
- B. 6 kg
- C. 15 kg
- D. 18 kg
Explanation: Food consumption is proportional to the number of chickens and the number of days.
Correct answer: 18 kg