Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

2901.

The sum of two answers is 40 and their difference is 10. What are the two numbers?

Answer» The sum of two answers is 40 and their difference is 10. What are the two numbers?

Solution:

2902.

Which of the following is a monomial? 12c,c2 - 16,c2 + c + 6,c3 + 4c2 - 12c + 7

Answer» Which of the following is a monomial?
12c,c2 - 16,c2 + c + 6,c3 + 4c2 - 12c + 7

Solution:

2903.

Which number line represents the solution set for the inequality 2x - 6 ≥ 6(x - 2) + 8?

Answer» Which number line represents the solution set for the inequality 2x - 6 ≥ 6(x - 2) + 8?

Solution:

2904.

What is the rate of change for f(x) = 7 sin x - 1 on the interval from x = 0 to x = pi over 2?

Answer» What is the rate of change for f(x) = 7 sin x - 1 on the interval from x = 0 to x = pi over 2?

Solution:

2905.

What is the focus and the directrix of the graph of x = 1/24y2?

Answer» What is the focus and the directrix of the graph of x = 1/24y2?

Solution:

2906.

Sindhu is 40 years old and Smita is 20 years old. How many years ago was Sindhu three times as old as Smita?

Answer» If Sindhu is 40 years old and Smita is 20 years old now, 10years ago Sindhu was three times as old as Smita

Equationhelps us to model a real life situation using algebraic expressions

2907.

What is forty six thousand and fifty eight as a number?

Answer» Forty six thousand and fifty eight as a number is 46058

To write a number in words in English, you should know the place value of each digit in the number.

2908.

Find all solutions to the equation. sin2x + sin x = 0

Answer» Find all solutions to the equation. sin2x + sin x = 0

Solution:

2909.

What must be true of a linear system for it to have a unique solution? Select all that apply.

Answer» What must be true of a linear system for it to have a unique solution? Select all that apply.

Solution:

2910.

The base of an isosceles triangle is half as long as the two equal sides. What is the area function of this triangle?

Answer» Area function of isosceles triangle = (√15/4) x2, where x is the length of its base.

An isosceles triangle is a triangle with two equal sides.

2911.

If you flip a fair coin 7 times, what is the probability that you will get exactly 2 tails?

Answer» If you flip a fair coin 7 times, what is the probability that you will get exactly 2 tails?

Solution:

2912.

Express the function y = 2x2 + 8x + 1 in vertex form.

Answer» Express the function y = 2x2 + 8x + 1 in vertex form.

Solution:

2913.

Find the number of sides of a regular polygon, if each of its interior angle is 162°.

Answer» Find the number of sides of a regular polygon, if each of its interior angles is 162°.

Solution:

2914.

The LCM of the two numbers is 495 and their HCF is 5. If the sum of the numbers is 100 then their difference is

Answer» Thedifference of the numbers is 10

TheLeast Common Multiple (LCM)of two numbers a and b is the lowest number that is divisible by both a and b exactly.

2915.

Add (3x4 - 2x3 + 1) + (12x4 + x2 - 11).

Answer» Add (3x4 - 2x3 + 1) + (12x4 + x2 - 11).

Solution:

2916.

The likelihood that a particular event will occur is called _______

Answer» The likelihood that a particular event will occur is called probability.

Probability defines the likelihood of occurrence of an event.

2917.

Write the given expression in terms of x and y only tan(sin-1(x) + cos-1(y)).

Answer» Write the given expression in terms of x and y only tan(sin-1(x) + cos-1(y)).

Solution:

2918.

What fractions are equivalent to 2/3?

Answer» 4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3. All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same number are equivalent to 2/3.

Equivalent fractions can be defined asfractionsthat may have different numerators and denominators but they represent the same value.

2919.

Which polynomial is written in ascending order? t2 - t + 4, t2 + 4 - t, 4 + t² - t, 4 - t + t2

Answer» Which polynomial is written in ascending order?
t² - t + 4, t² + 4 - t, 4 + t² - t, 4 - t + t²

Solution:

2920.

Find the derivative of the function using the definition of derivative. g(x) = 4 - x

Answer» Find the derivative of the function using the definition of derivative. g(x) = 4 - x

Solution:

2921.

Based on the graph, what are the approximate solutions to the equation -3x + 8 = (0.25)x?

Answer» Based on the graph, what are the approximate solutions to the equation −3x + 8 = (0.25)x?

2922.

Let g(x, y) = cos(x + 3y). Evaluate g(6, -2).

Answer» Let g(x, y) = cos(x + 3y). Evaluate g(6, -2).

Solution:

2923.

What is 3 5/8 as a decimal?

Answer» 3 5/8 as a decimal is 3.625.

We can define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint.

2924.

A single card is drawn from a deck. find the probability of selecting a heart or a 9.

Answer» A single card is drawn from a deck. find the probability of selecting a heart or a 9.

Solution:

2925.

Which is an asymptote of the graph of the function y = tan(3x/4)? x = -4π/3, x = -2π/3, x = 3π/4, x = 3π/2

Answer» Which is an asymptote of the graph of the function y = tan(3x/4)?

Solution:

2926.

Solve the following system of equations; x + 3y - z = 2, x - 2y + 3z = 7, x + 2y - 5z = -21

Answer» Solve the following system of equations; x + 3y - z = 2, x - 2y + 3z = 7, x + 2y - 5z = -21

Solution:

2927.

Findthe area of a square with a side length of 5n4 units.

Answer» Findthe area of a square with a side length of 5n4 units.

Solution:

2928.

What is the greatest common factor of 4k, 18k4, and 12?

Answer» What is the greatest common factor of 4k, 18k4, and 12?

Solution:

2929.

Name the property of real numbers illustrated by the equation 2 + (√(5) + 7)) = (2 + √(5)) + 7 Distributive Property Associative Property Of Addition Associative Property Of Multiplication Commutative Property Of Multiplication

Answer» Name the property of real numbers illustrated by the equation 2 + (√(5) + 7)) = (2 + √(5)) + 7

Solution:

2930.

One-fifth of a number is 9. Find the number.

Answer» If one-fifth of a number is 9, then the number is 45.

The given question is based on fractions.

2931.

What is the slope of the line that passes through the given points (3, 2) and (5, 12)?

Answer» What is the slope of the line that passes through the given points (3, 2) and (5, 12)?

Solution:

2932.

Solve: -2/3×3/5+5/2-3/5×1/6

Answer» The value of the expression -2/3×3/5+5/2-3/5×1/6 is 2.

PEMDAS or order of operations is a set of sequence of rules followed to perform operations in an arithmetic expression.

2933.

How do you solve 4b + 6 = 2 - b + 4?

Answer» How do you solve 4b + 6 = 2 - b + 4?

Solution:

2934.

Find sin θ if cot θ = - 2 and cos θ < 0.

Answer» Find sin θ if cot θ = - 2 and cos θ < 0.

Solution:

2935.

If two angles are complementary to the same angles, what can you say about the two angles?

Answer» If two angles are complementary to the same angles, thenthey are equal.

Two angles are said to be complementary angles if they sum up to 90º.

2936.

If x - 9 is a factor of x2 - 5x - 36, what is the other factor?

Answer» If x - 9 is a factor of x2 - 5x - 36, what is the other factor?

Solution:

2937.

The number which best completes the sequence below is: 3, 9, 4, 5, 25, 20, 21, 441,… ?

Answer» The number which best completes the sequence below is: 3, 9, 4, 5, 25, 20, 21, 441,… ?

Solution:

2938.

What is 6/5as a Mixed Number?

Answer» 6/5as a mixed number is \(1\dfrac{1}{5}\)

6/5 is an improper fraction; we can further write itas a mixed number consisting of a whole and a fractional part.

2939.

Find a vector that has the same direction as −4, 4, 6 but has length 6.

Answer» A vector with the same direction as (−4, 4, 6) havingLength as 6 is(−12/√17, 12/√17, 18/√17).

Vectors are very interesting concepts in mathematics that have an immense number of applications in engineering and physics.

2940.

Which shows one way to determine the factors of x3 - 12x2 - 2x + 24 by grouping? x(x2 - 12) + 2(x2 - 12) x(x2 - 12) - 2(x2 - 12) x2(x - 12) + 2(x - 12) x2(x - 12) - 2(x - 12)

Answer» Which shows one way to determine the factors of x3 - 12x2 - 2x + 24 by grouping?
x(x2 - 12) + 2(x2 - 12)
x(x2 - 12) - 2(x2 - 12)
x2(x - 12) + 2(x - 12)
x2(x - 12) - 2(x - 12)

Solution:

2941.

Find the area of thesector if m∠ A = π/6 and the circle has a radius of 10 inches.

Answer» Find the area of thesector if m∠ A = π 6 and the circle has a radius of 10 inches.

Solution:

2942.

Which equation has no solution? |4x - 2| = - 6,|-2 - x| = 9,|3x + 6| = 6,|-2x + 8| = 0

Answer» Which equation has no solution?
|4x - 2| = - 6,|- 2 - x| = 9,|3x + 6| = 6,|- 2x + 8| = 0

Solution:

2943.

The graph of a function f is shown below. Find one value of x for which f(x) = -4 and find f (2).

Answer» The graph of a function f is shown below. Find one value of x for which f(x) = -4 and find f (2).

finding x when f(x) = -4 and finding f (2).

2944.

(D) 22 * 32

Answer» LCM of 23 * 32 and 22 *33 is option (c) 23 * 33.

This question is based on LCM of two numbers.

2945.

(C) 23 * 33

Answer» LCM of 23 * 32 and 22 *33 is option (c) 23 * 33.

This question is based on LCM of two numbers.

2946.

(B) 33

Answer» LCM of 23 * 32 and 22 *33 is option (c) 23 * 33.

This question is based on LCM of two numbers.

2947.

(A) 23

Answer» LCM of 23 * 32 and 22 *33 is option (c) 23 * 33.

This question is based on LCM of two numbers.

2948.

Question:Choose the corrrect option for LCM of 23 * 32 and 22 * 33

Answer» LCM of 23 * 32 and 22 *33 is option (c) 23 * 33.

This question is based on LCM of two numbers.

2949.

Consider the following data set: 55, 38, 30, 66, 67, 68, 44; What is the percentile for data value 55?

Answer» Consider the following data set: 55, 38, 30, 66, 67, 68, 44; What is the percentile for data value 55?

Solution:

2950.

What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?

Answer» The coefficient of the variable(x) in the expression 4 − 3x − 7 + 6 is -3.

AnAlgebraic expression(or) avariable expressionis a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.