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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.
| 7851. |
The value of the cumulative standardized normal distribution at z is 0.8770. The value of z is? |
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Answer» The value of the cumulative standardized normal distribution at z is 0.8770. The value of z is? Solution: |
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| 7852. |
D) f(8) = 0 |
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Answer» Option C f(–8) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero then the smaller numberwill be thefactor of the larger number. |
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| 7853. |
C) f(–8) = 0 |
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Answer» Option C f(–8) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero then the smaller numberwill be thefactor of the larger number. |
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| 7854. |
B) Neither x = –8 nor x = 8 is a root of f(x). |
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Answer» Option C f(–8) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero then the smaller numberwill be thefactor of the larger number. |
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| 7855. |
A) x = –8 and x = 8 are roots of f(x) |
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Answer» Option C f(–8) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero then the smaller numberwill be thefactor of the larger number. |
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| 7856. |
If (x + 8) is a factor of f(x), which of the following must be true? |
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Answer» Option C f(–8) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero then the smaller numberwill be thefactor of the larger number. |
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| 7857. |
Solve for x: 5 over x plus 8 equals 3 over x and determine if the solution is extraneous or not? |
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Answer» x = 12, and the solution is not extraneous for5 over x plus 8 equals 3 over x for x. The given expression 5 over x plus 8 equals 3 over xrepresents a monomial. |
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| 7858. |
A solid iron cuboidal block of dimensions 4.4m ×2.6m × 1m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find length of the pipe? |
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Answer» The length of thehollow cylindrical pipe of internal radius 30 cm and thickness 5 cm is 11200 cm or 112 m. The volume is the space occupied by any solid shape. |
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| 7859. |
Which of the number(s) below are potential roots of the function? p(x) = x4 + 22x2-16x -12 |
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Answer» Which of the number(s) below are potential roots of the function? p(x) = x4 + 22x2 -16x -12 Solution: |
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| 7860. |
The volume of a fish tank is 30 cubic feet. If the density is 0.3 fish over feet cubed, how many fish are in the tank? |
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Answer» The volume of a fish tank is 30 cubic feet. If the density is 0.3 fish over feet cubed, how many fish are in the tank? Solution: |
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| 7861. |
Let f(x) = x-2 and g(x) = x2-7x-9. What is f(g(-1))? |
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Answer» Let f(x) = x-2 and g(x) = x2-7x-9. What is f(g(-1))? Solution: |
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| 7862. |
What is the equation of the graphed line written in standard form? 2x + 3y = -6, 2x + 3y = 6 |
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Answer» What is the equation of the graphed line written in standard form? 2x + 3y = -6, 2x + 3y = 6 Solution: |
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| 7863. |
What value for c will make the expression a perfect square trinomial? x2 – 7x + c -(49/4), -(7/2), (7/2), (49/4) |
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Answer» What value for c will make the expression a perfect square trinomial? x²– 7x + c -(49/4), -(7/2), (7/2), (49/4) Solution: |
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| 7864. |
(d) 55 |
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Answer» (d)55 To find the Least Common Multiple (LCM) of two numbers, we need the least number which is exactly divisible by both the numbers without leaving any remainder. |
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| 7865. |
(c) 50 |
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Answer» (d)55 To find the Least Common Multiple (LCM) of two numbers, we need the least number which is exactly divisible by both the numbers without leaving any remainder. |
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| 7866. |
(b) 25 |
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Answer» (d)55 To find the Least Common Multiple (LCM) of two numbers, we need the least number which is exactly divisible by both the numbers without leaving any remainder. |
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| 7867. |
(a) 15 |
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Answer» (d)55 To find the Least Common Multiple (LCM) of two numbers, we need the least number which is exactly divisible by both the numbers without leaving any remainder. |
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| 7868. |
Question: The LCM of three different numbers is 150. Which of the following can't be their HCF? |
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Answer» (d)55 To find the Least Common Multiple (LCM) of two numbers, we need the least number which is exactly divisible by both the numbers without leaving any remainder. |
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| 7869. |
Find the exact length of the curve. y = 1 + 8x3/2, 0 ≤ x ≤ 1? |
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Answer» 7.995 isthe exact length of the curve. The exact length of a curve is a geometrical concept that addressed by integral calculus. It is a method for calculating the exact lengths of line segments. |
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| 7870. |
What is 1 7/8 as a decimal? |
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Answer» 17/8 as a decimal is 1.875. We can define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. |
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| 7871. |
Form a union for the following sets K= {2, 3, 5, 8}; L= {3, 5, 7}. |
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Answer» Aunion set of setsK= {2, 3, 5, 8} and L= {3, 5, 7} is (K∪ L) = {2, 3, 5, 7, 8}. The collection of distinct objects is called a set. The union of set A and set Bcontains all the elements of set A and set B. Union of two sets is denoted by the symbol∪ |
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| 7872. |
Simplify the given expression below: (6 + 2i) - (8 - 3i) |
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Answer» Simplify the given expression below: (6 + 2i) - (8 - 3i) Solution: |
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| 7873. |
Is cos(x3- x + 2) even or odd? |
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Answer» cos (x3- x + 2) is neither even nor odd. Trigonometry is the branch of maths thatdeals with the relationships between sides and angles of a right angles triangle. |
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| 7874. |
The equation x2 - 1x - 90 = 0 has solutions {a, b}. What is a + b? -19, -9, 1, 10 |
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Answer» The equation x2 - 1x - 90 = 0 has solutions {a, b}. What is a + b? -19, -9, 1, 10 Solution: |
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| 7875. |
What is the number of possible permutations of 8 objects taken 3 at a time? |
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Answer» What is the number of possible permutations of 8 objects taken 3 at a time? Solution: |
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| 7876. |
Using prime factorization find the HCF and LCM of 21 28 36 and 45 |
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Answer» LCM of 21, 28, 36, and 45 is 1260 and the HCF of 21, 28, 36, and 45 is 1 To find the LCM (Least Common Multiple) of 21, 28, 36, and 45, we need the least number which is exactly divisible by all the numbers 21, 28, 36, and 45 without leaving any remainder. |
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| 7877. |
Identify the factors of x2- 4x - 21 = 0 |
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Answer» Identify the factors of x2- 4x - 21 = 0 Solution : |
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| 7878. |
Simplify quantity 1 over 9 minus 1 over x all over 1 over 81 minus 1 over x squared. |
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Answer» Simplify quantity 1 over 9 minus 1 over x all over 1 over 81 minus 1 over x squared. Solution: |
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| 7879. |
How many zeros does the function f(x) = 7x13 - 12x9 + 16x5 - 23x + 42 have? |
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Answer» How many zeros does the function f(x) = 7x13 - 12x9 + 16x5 - 23x + 42 have? Solution: |
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| 7880. |
Read the numbers and decide what the next number should be. 3, 4, 7, 13, 14, 17, 23,…? |
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Answer» Read the numbers and decide what the next number should be. 3, 4, 7, 13, 14, 17, 23,…? Solution: |
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| 7881. |
What is a rational number that is not an integer? |
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Answer» A rational number that is not an integer can be expressed in decimal form with a non-zero digit after the decimal. A rational number can be defined as any number that can be expressed or written in the p/q form, where 'p' and 'q' are integers and q is a non-zero number. |
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| 7882. |
12 Percent as a fraction in simplest form |
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Answer» 12%as a fraction in its simplest form is 3/25 Percent means per hundred or for every hundred. We represent it as %. |
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| 7883. |
Find the remainder when f(x) is divided by (x - k) f(x) = 5x4 + 8x3 + 4x2 - 5x + 67; k = 2 |
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Answer» Find the remainder when f(x) is divided by (x - k) f(x) = 5x4+ 8x3+ 4x2- 5x + 67; k = 2 Solution: |
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| 7884. |
Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply and explain. Every line connects two vertices. Every line connects the midpoints of 2 sides. Every line bisects a vertex angle. Every line bisects a side. Every line is perpendicular to a side. |
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Answer» Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply and explain. Solution: |
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| 7885. |
An interior angle of a regular polygon has a measure of 108°. What type of polygon is it? |
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Answer» An interior angle of a regular polygon has a measure of 108°. What type of polygon is it? Solution: |
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| 7886. |
What are the solutions of 2x2 + 16x + 50 = 0? |
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Answer» What are the solutions of 2x2+ 16x + 50 = 0? Solution: |
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| 7887. |
How to find the volume of a solid rotated around the y-axis? |
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Answer» The volume of a solid rotated about the y-axis can becalculated by V = π∫dc[f(y)]2dy. Other than the disk method, we can also use the washer method for finding the volume of rotated solids. |
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| 7888. |
The equation of the circle whose center is at (3, 7) and whose radius is 6 is |
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Answer» The equation of the circle whose center is at (3, 7) and whose radius is 6 is Solution: |
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| 7889. |
What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)? |
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Answer» What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)? Solution: |
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| 7890. |
HCF of 3240 and 3600 and a third number is 36 and their LCM is 24× 35 × 52 × 72. Then the third number is? |
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Answer» The third number is 47628 (22× 35 ×72) The HCF (HighestCommon Factor) of two numbers 'a' and 'b' is the greatest possible number that divides both 'a' and 'b' completely. |
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| 7891. |
Using the quadratic formula to solve x2= 5 – x, what are the values of x? |
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Answer» x = [ -1±√21 ] / 2 are the solutions of the quadratic equationx2= 5 – x. The quadratic formula is the easiestway of solving quadratic equations especially when it is difficult to solve bythe splitting of the middle term. |
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| 7892. |
If the ratio of men to women in a city of 54,000 people is 3:1, how many women are there in the city? |
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Answer» If the ratio of men to women in a city of 54,000 people is 3:1, how many women are there in the city? Solution: |
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| 7893. |
Verify that the ratio of 3 to 4 and the ratio of 4 to 3 the same number. |
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Answer» The ratio of 3 to 4 and the ratio of 4 to 3 are not the same, but areinverse of each other. The product of a number and its inverse is equal to 1. |
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| 7894. |
Write your answer as a complex number in standard form (-6 + 5i) (-2 + 3i). |
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Answer» Write your answer as a complex number in standard form (-6 + 5i) (-2 + 3i). Solution: |
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| 7895. |
Arational number can always be written in what form? |
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Answer» A rational number can always be written in the form a/b.Herea is an integer and b is a non-zero integer. A rational numberis a number that can be written in the form a/b, wherea is an integer and b is a non-zero integer. |
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| 7896. |
What is the simplified form of 3 over x squared all over 1 over x-cubed? |
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Answer» What is the simplified form of 3 over x squared all over 1 over x-cubed? Solution: |
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| 7897. |
What is the equation that represents the line that passes through the point (-2, 2) and is parallel to y = 1/2 x + 8 |
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Answer» what is the equation that represents the line that passes through the point (-2, 2) and is parallel to y = 1/2 x + 8 Solution: |
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| 7898. |
In triangle ABC, a = 3, b = 5, and c = 7. find the measure of B. |
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Answer» In triangle ABC, a = 3, b = 5, and c = 7. find the measure of B. Solution: |
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| 7899. |
In a unit circle, the radian measure of the central angle is equal to the length of the Intercepted arc Radius Diameter Circumference |
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Answer» In a unit circle, the radian measure of the central angle is equal to the length of the Solution: |
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| 7900. |
Write an equation in the point-slope form of the line through point j(4, -4) with slope 4. |
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Answer» Write an equation in the point-slope form of the line through point j(4, -4) with slope 4. Solution: |
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