Mathematics — All MCQs
1905 questions available
Q1721.When Transpose of matrix B is equal to B, then it is called?
Correct Answer: D
A square matrix B is symmetric if it is equal to its transpose, i.e., B^T = B.
Q1722.If a value is added on both sides of the equation, it is called?
Correct Answer: D
The Addition Property of Equality states that if you add the same value to both sides of an equation, the equation remains balanced and true.
Q1723.Matrices do not obey which of the following laws?
Correct Answer: D
Matrix multiplication is generally non-commutative, meaning that for two matrices A and B, AB is usually not equal to BA.
Q1724.If the sum of two angles is 90°, then the angles are called? (Complementary)
Correct Answer: C
Two angles are complementary if their sum is exactly 90 degrees, and supplementary if their sum is exactly 180 degrees.
Q1725.1 mega is equal to:
Correct Answer: D
Mega is a metric prefix denoting a factor of one million (10^6 or 1,000,000).
Q1726.cos 60° = sin:
Correct Answer: C
By trigonometric co-function identities: cos(theta) = sin(90° - theta). For theta = 60°: cos 60° = sin 30° = 1/2.
Q1727.Cos (90° − ∅) = sin:
Correct Answer: B
According to standard trigonometric co-function identities, cos(90° - theta) is exactly equal to sin(theta).
Q1728.If radius of a circle bisects a chord, it will be ____ to the chord?
Correct Answer: B
A standard theorem in circle geometry states that a line drawn from the center of a circle (the radius) that bisects a chord is perpendicular to that chord.
Q1729.A series contains values 4, 4, 4, 4, 4, 4. Its standard deviation is?
Correct Answer: C
Standard deviation measures the dispersion of a dataset. Since all values in the series are identical, there is no variation, and the standard deviation is 0.
Q1730.A series contains values 5, 9, 3, 1, 4, 6. Its median is?
Correct Answer: B
Sort the values: 1, 3, 4, 5, 6, 9. Since there are 6 values (even), the median is the average of the two middle numbers: (4 + 5) / 2 = 4.5.
Q1731.Median term relates with?
Correct Answer: C
In geometry, a median of a triangle is a line segment connecting a vertex to the midpoint of the opposite side.
Q1732.sin² 60° + ___ = 1
Correct Answer: A
By the Pythagorean trigonometric identity: sin^2(theta) + cos^2(theta) = 1. For theta = 60°, we have: sin^2 60° + cos^2 60° = 1.
Q1733.Eliminate t from x = t and y = t²?
Correct Answer: B
Substitute t = x into y = t^2. This gives the equation: y = x^2, which can be written as x^2 = y.
Q1734.What is X⁰ equal to?
Correct Answer: B
Any non-zero number raised to the power of 0 is mathematically defined as 1.
Q1735.A relation in which the equality is true only for a number of unknowns is called an?
Correct Answer: B
An equation is a mathematical statement of equality containing variables that is true only for specific values of those variables (the unknowns), whereas an identity is true for all values of the variables.
Q1736.The median of the observations 3, 5, 4, 3, 8, 6, 4 is ______?
Correct Answer: C
Sort the observations: 3, 3, 4, 4, 5, 6, 8. The median of an odd number of values (7) is the middle value (the 4th value), which is 4.
Q1737.Circumference of a circle is 154 cm. Find the radius:
Correct Answer: A
Circumference = 2 * pi * r = 154. Using pi ≈ 22/7: 2 * (22/7) * r = 154 => 44/7 * r = 154 => r = (154 * 7) / 44 = 24.5 cm. (Note: The website lists 11 cm as the official key, which is a common typo, but the actual mathematical calculation yields 24.5 cm).
Q1738.What is the ratio of the circumference of a circle to its radius?
Correct Answer: A
Circumference = 2 * pi * r. Radius = r. Ratio of Circumference to Radius = 2 * pi * r / r = 2 * pi (or 2π:1).
Q1739.If the price of 1 dozen eggs is 12 rupees, then the price of 2 and a half dozen eggs is?
Correct Answer: A
Price of 1 dozen = Rs. 12. Price of 2.5 dozen = 2.5 * 12 = Rs. 30.
Q1740.sin²θ + cos²θ is equal to ________?
Correct Answer: B
The core Pythagorean trigonometric identity states that sin²θ + cos²θ = 1.