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 40 of 78
- A. 14.85%
- B. 9.98%
- C. 16.20%
- D. 14.50%
Explanation: A selling price of Rs. 50000 at 17% profit means the cost price is Rs. 50000 / 1.17 = Rs. 42735.04 approximately.
Correct answer: 9.98%- A. 3 * 2.75 * 2.75 * 2.75
- B. 3 * 2.00 * 2.00 * 2.00
- C. 3 * 2.75 * 0.75 * 2.75
- D. 4.5 * 2.75
Explanation: Since 2.75 = 2.00 + 0.75, use a^3 - b^3 - c^3 = 3abc when a = b + c: 3 x 2.75 x 2.00 x 0.75 = 12.375.
Correct answer: 4.5 * 2.75- A. -6, 3
- B. 3, -2/3
- C. -5, 2
- D. -9, 2
Explanation: Factor the equation as 3x² - 7x - 6 = (3x + 2)(x - 3) = 0. Thus 3x + 2 = 0 gives x = -2/3, and x - 3 = 0 gives x = 3.
Correct answer: 3, -2/3- A. -6, 7
- B. -8, 7
- C. 14, -3
- D. -7, 6
Explanation: The quadratic factors as x² + x - 42 = (x + 7)(x - 6) = 0. Hence the roots are x = -7 and x = 6.
Correct answer: -7, 6- A. -2, -1/2
- B. 4, -1
- C. 4, 1
- D. -2, 5/2Election Officer Mcqs
Explanation: Factor 2x² + 5x + 2 as (2x + 1)(x + 2) = 0. The roots are x = -1/2 and x = -2, which are the two values listed in option a.
Correct answer: -2, -1/2- A. If a > b
- B. If a ≥ b
- C. If a < b
- D. If a ≤ b.
Explanation: For a² - 13a + 42 = 0, (a - 6)(a - 7) = 0, so a is 6 or 7. For b² - 15b + 56 = 0, (b - 7)(b - 8) = 0, so b is 7 or 8; in every pairing, a…
Correct answer: If a ≤ b.- A. If a > b
- B. If a ≥ b
- C. If a < b
- D. If a ≤ b
Explanation: Interpreting a3 as a³, a³ - 988 = 343 gives a³ = 1331, so a = 11. Also, b² - 72 = 49 gives b² = 121, so b = 11 or -11; therefore a ≥ b in…
Correct answer: If a ≥ b- A. If a > b
- B. If a ≥ b
- C. If a < b
- D. If a ≤ b
Explanation: For 9a² + 18a + 5 = 0, the roots are a = (-18 ± 12)/18, giving -1/3 and -5/3.
Correct answer: If a > b- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x ≥ y
Explanation: Factoring gives x² + 11x + 30 = (x + 5)(x + 6), so x is -5 or -6. Similarly, y² + 15y + 56 = (y + 7)(y + 8), so y is -7 or -8; every…
Correct answer: If x > y790. I. x2 + 3x - 18 = 0, II. y2 + y - 30 = 0 to solve both the equations to find the values of x and y?
- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x ≥ y
- E. If x = y or the relationship between x and y cannot be established.
Explanation: The first equation factors as (x + 6)(x - 3) = 0, giving x = -6 or 3. The second factors as (y + 6)(y - 5) = 0, giving y = -6 or 5, so x…
Correct answer: If x = y or the relationship between x and y cannot be established.791. I. x2 + 9x + 20 = 0, II. y2 + 5y + 6 = 0 to solve both the equations to find the values of x and y?
- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x ≥ y
Explanation: x² + 9x + 20 = (x + 4)(x + 5), so x = -4 or -5. y² + 5y + 6 = (y + 2)(y + 3), so y = -2 or -3; both possible x-values are less than both…
Correct answer: If x < y792. I. x2 - x - 42 = 0, II. y2 - 17y + 72 = 0 to solve both the equations to find the values of x and y?
- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x ≥ y
- E. If x = y or the relationship between x and y cannot be established.
Explanation: Factoring the first equation gives (x - 7)(x + 6) = 0, so x = 7 or -6. The second gives (y - 8)(y - 9) = 0, so y = 8 or 9; even the larger…
Correct answer: If x < y793. I. x2 + 5x + 6 = 0, II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y?
- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x = y or the relationship between x and y cannot be established.
Explanation: The roots are x = -2 or -3 because x² + 5x + 6 = (x + 2)(x + 3), while y = -7 or -2 because y² + 9y + 14 = (y + 7)(y + 2).
Correct answer: If x = y or the relationship between x and y cannot be established.794. I. a2 + 8a + 16 = 0, II. b2 - 4b + 3 = 0 to solve both the equations to find the values of a and b?
- A. If a < b
- B. If a ≤ b
- C. If the relationship between a and b cannot be established
- D. If a > b
Explanation: a² + 8a + 16 = (a + 4)², so a = -4. Also, b² - 4b + 3 = (b - 1)(b - 3), so b = 1 or 3; therefore a is less than either possible value of…
Correct answer: If a < b- A. If a < b
- B. If a ≤ b
- C. If the relationship between a and b cannot be established
- D. If a > b
Explanation: a² + 11a + 30 = (a + 5)(a + 6), giving a = -5 or -6. b² + 6b + 5 = (b + 1)(b + 5), giving b = -1 or -5; every a-value is less than or…
Correct answer: If a ≤ b- A. If a < b
- B. If a ≤ b
- C. If the relationship between a and b cannot be established
- D. If a ≥ b
Explanation: a² - 9a + 20 = (a - 4)(a - 5), so a = 4 or 5. For b, 2b² - 5b - 12 = (2b + 3)(b - 4), so b = -3/2 or 4; hence every possible a is greater…
Correct answer: If a ≥ b- A. if a < b
- B. if a ≤ b
- C. if the relationship between a and b cannot be established.
- D. if a > b
Explanation: a² - 7a + 12 = (a - 3)(a - 4), so a = 3 or 4. b² - 3b + 2 = (b - 1)(b - 2), so b = 1 or 2; therefore every possible a-value is greater…
Correct answer: if a > b- A. 10
- B. 8
- C. 15
- D. 7.50
Explanation: Let the price of one notebook be p rupees, so the number bought is 300/p.
Correct answer: 10- A. 3x2 + 5x - 2 = 0
- B. 3x2 + 5x + 2 = 0
- C. 3x2 - 5x + 2 = 0
- D. 3x2 - 5x - 2 = 0
Explanation: If r is a root of 2r² + 5r + 3 = 0 and z = 1/r, substitute r = 1/z: 2/z² + 5/z + 3 = 0.
Correct answer: 3x2 + 5x + 2 = 0800. Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?
- A. 15
- B. 14
- C. 24
- D. 26
Explanation: For x² + 8x + 4 = 0, Vieta's relations give a + b = -8 and ab = 4. Therefore a/b + b/a = (a² + b²)/ab = ((a + b)² - 2ab)/ab = (64 - 8)/4 =…
Correct answer: 14