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.
| 7051. |
How to Find the HCF and LCM of 90 and 144 By Using Prime Factorization Method? |
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Answer» HCF of 90and 144is 18, and the LCM of 90 and 144 is 720 HCF (HighestCommon Factor) of 90and 144is the largest possible number which divides both 90and 144exactly. |
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| 7052. |
Find the approximate area of a circle with radius equal to 8 ft. (use = 3.14.) |
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Answer» Find the approximate area of a circle with radius equal to 8 ft. (use = 3.14.) Solution: |
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| 7053. |
Write the equation in standard form. Then factor the left side of the equation. 3x2 + 19x = 14 |
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Answer» Write the equation in standard form. Then factor the left side of the equation. 3x2+ 19x = 14 Solution: |
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| 7054. |
Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 20% and P(T) = 22%. |
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Answer» Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 20% and P(T) = 22%. Solution: |
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| 7055. |
What is the solution set of this system of equations? y = x2-3x -4 x = y + 8 |
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Answer» What is the solution set of this system of equations? y = x2-3x -4 x = y + 8 Solution: |
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| 7056. |
Express3 divided by 4as a fraction. |
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Answer» The value of3 divided by 4as a fraction 3/4. To writea fraction in its simplest form meansthe numeratorand denominator can no longer beexactly or evenly divided by the same whole number. |
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| 7057. |
How to find the measure of an interior angle of a regular polygon? |
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Answer» To find the measure of an interior angle of a regular polygon, we make use of the formula for eachangle = (n - 2)× 180 / n. Apolygonis a two-dimensional geometric figure that has a finite number of sides. The sides of apolygonare made of straight line segments connected to each other end to end. They can have any number of sides. Regular polygons have sides and angles of the same length. Many of the polygons like triangles, squares, and rectangles are used extensively for various purposes. |
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| 7058. |
What is 5%of 200? |
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Answer» 5%of 200 is 10. A percentis a ratio of a number expressed out of100. |
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| 7059. |
What is the HCF of the smallest prime number and the smallest composite number? |
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Answer» The HCF of the smallest composite number and the smallest prime number is 2. Prime numbersare the numbers that have only two factors, that are, 1 and the number itself. |
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| 7060. |
Evaluate the double integral ∬d(x² + 6y)da, where d is bounded by y = x, y = x³, and x ≥0 |
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Answer» Evaluate the double integral ∬d(x² + 6y)da, where d is bounded by y = x, y = x³, and x ≥0 Solution: |
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| 7061. |
A function f(x) has x-intercept of -3 and -5. What is the constant term in the function? f(x) = x2 + 8x + ___ |
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Answer» A function f(x) has x-intercept of -3 and -5. What is the constant term in the function? f(x) = x2+ 8x + ___ Solution: |
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| 7062. |
The set of all real numbers x for which x2- |x + 2| + x > 0 is 1. (-∞, -2) ∪ (2, ∞) 2. (-∞, -√2) ∪ (√2, ∞) 3. (-∞, -1) ∪ (1, ∞) 4. (√2, ∞) |
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Answer» Option (2) ,x ∈ (-∞, -√2) ∪ (√2, ∞) Real numbers are the combination of rational numbers as well as irrational numbers. |
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| 7063. |
How do you use the discriminant to find the number of real solutions of the following quadratic equation: 2x2+4x+2=0. |
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Answer» How do you use the discriminant to find the number of real solutions of the following quadratic equation: 2x2+4x+2=0. Solution: |
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| 7064. |
A star-patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale. |
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Answer» A star-patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.
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| 7065. |
What is 25%of 50? |
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Answer» 25%of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal. A percentis a ratio of a number expressed out of100. |
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| 7066. |
The vertex of the graph of f(x) = |x - 3| + 6 is located at |
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Answer» The vertex of the graph of f(x) = |x - 3| + 6 is located at Solution: |
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| 7067. |
Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x)? |
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Answer» Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x)? Solution: |
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| 7068. |
Convert the following rupees into paise: Rs 90 |
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Answer» Rs 90 in terms of paise is 9000 paise. The concept of moneyis required here. The Indian rupee, represented with the symbol: ₹ and code: INRis the official currency of India which is subdivided into paise. One rupee is equal to 100 paise. |
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| 7069. |
A square plate of side X cm is 8 mm thick. If its volume is 2880cm3, find the value of X? |
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Answer» The value of X is60 cm. We will be using the formula for the volume of acuboid for finding the side of the given square plate. |
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| 7070. |
You toss a coin and roll a number cube. Find p(tail and a six). |
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Answer» You toss a coin and roll a number cube. Find p(tail and a six). Solution: |
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| 7071. |
Solve: (1 + tan2A) / (1 + cot2A) = [(1 - tan A) /(1 - cotA)]2= tan2A. |
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Answer» (1 + tan2A) / (1 + cot2A) = [(1 - tan A) /(1 - cotA)]2= tan2A. Trigonometric Identitiesare the equations that are true for right-angled triangles. We can use different trigonometric identities to prove the above expression. |
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| 7072. |
Which of the following is a polynomial with roots: - square root of 5, square root of 5, and -3? x3 - 2x2 - 3x + 6 x3 + 2x2 - 3x - 6 x3 - 3x2 - 5x + 15 x3 + 3x2 - 5x - 15 |
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Answer» Which of the following is a polynomial with roots: -square root of 5, square root of 5, and -3? Solution: |
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| 7073. |
What is 5%of 50? |
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Answer» 5%of 50 is 5/2 or 2½ as a fraction and 2.5 as a decimal. A percentis a ratio of a number expressed out of100. |
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| 7074. |
How to express 10to the power of 2? |
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Answer» 10to the power of 2can be expressed as 102= 10× 10= 100 Power in exponents is defined as the total number of times we use the number inamultiplication.For example 2 to the power 3 means 2 is multiplied 3 times. |
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| 7075. |
A. 2 distinct real roots B. no real roots C. 2 equal real roots D. more than 2 real roots |
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Answer» The quadratic equation2x2- 4x + 12 = 0 has no real roots. Let us check the nature of roots using the discriminant formula. |
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| 7076. |
The quadratic equation2x2- 4x + 12 = 0 has |
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Answer» The quadratic equation2x2- 4x + 12 = 0 has no real roots. Let us check the nature of roots using the discriminant formula. |
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| 7077. |
How to find degrees of freedom for the chi-square test of independence |
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Answer» The formula df = ( c - 1 ) ( r - 1 ) is used to find the degree of freedom. The Chi-square test of independence is a hypothesis testing procedure in order to determine if the nominal variables have the chance to be related or not. |
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| 7078. |
What is 40%of 80? |
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Answer» 40%of 80 is 32. A percentis a ratio of a number expressed out of100. |
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| 7079. |
Expand (x-y)3 |
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Answer» The expansion of (x-y)3 is x3 - y3 - 3x2y + 3xy2 Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation. The expression (x-y)3 is a cubic expression. |
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| 7080. |
A Line Passes through (−1, 5) and (1, 3). Which Answer is the Equation of the Line? |
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Answer» The Equation of the Line Passing through the given Points(-1, 5), (1, 3) is x + y = 4. We will be using the concept of the Point-Slope Form of a lineto solve this. |
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| 7081. |
What is the sum of the arithmetic sequence 3, 9, 15..., if there are 22 terms? |
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Answer» What is the sum of the arithmetic sequence 3, 9, 15..., if there are 22 terms? Solution: |
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| 7082. |
Which equation represents the graphed function? (0,3) y = -3x + 3,y = 3x - 3,y = 3x - 1/3,y = 1/3 - x + 3 |
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Answer» Which equation represents the graphed function? (0,3) Solution; |
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| 7083. |
Find a Quadratic Polynomial Whose Zeroes are -4 and 2 |
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Answer» x2 + 2x - 8 is the Quadratic Polynomial Whose zeroes are -4 and 2 A quadratic polynomial is of the form f(x) = ax2+bx+c and a ≠ 0 |
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| 7084. |
Write your answer as a fraction in the simplest form. a) 44/9 b) 11/3 c) 12/5 |
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Answer» Write your answer as a fraction in the simplest form. a) 44/9 b) 11/3 c) 12/5 Solution: |
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| 7085. |
The dot product between two vectors is negative when the angle between the vectors is? |
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Answer» The dot product between two vectors is negative when the angle between the vectors is between 90 degrees and 270 degrees, excluding 90 and 270 degrees. In mathematics and in science, vectors are quantities with both direction and magnitude.Vectors help to represent different quantities in the same expression simultaneously. |
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| 7087. |
How to convert a mixed number to an improper fraction? |
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Answer» Amixed number can be convertedto an improper fractionbymultiplying the whole number withthe denominator of the fraction and adding that to the numerator, and finallywritingthatresult on top of the denominator. Animproper fractionis a fractionwhere the numerator is greater than or equal to the denominator. A mixed number is a combination of a whole number and a proper fraction. |
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| 7088. |
What is 60%of 20? |
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Answer» 60%of 20 is 12. A percentis a ratio of a number expressed out of100. |
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| 7089. |
What is 2/3times 3? |
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Answer» 2/3times 3is 2. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 7090. |
How to find the median of a set of even numbers? |
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Answer» For an even set of numbers Median = ( (n/2)thobservation+(n/2 +1)thobservation ) /2 The median represents the middle value for any group. It is the middle value of a sorted list of given numbers. |
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| 7091. |
Find the area between y = ex and y = e-x and x = 1? |
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Answer» Find the area between y = exand y = e-xand x = 1? Solution: |
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| 7092. |
What is the input value for which the statement f(x) = g(x) is true, where f(x) = 3x/2 - 2 and g(x) = 3? |
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Answer» The input value for which the statement f(x) = g(x) is true, is x = 10/3. Algebra is the branch of maths that deals with numerical expressions and variables. They have many applications in various fields including engineering and science. |
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| 7093. |
How do you find the median of a data set? |
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Answer» The median of the given set can be found out by finding the middle term of the data set (sorted inorder). Median is amongst the three important statistic branches, which includes mode and mean as well. |
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| 7094. |
How to write a mixed number as an improper fraction? |
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Answer» Amixed fraction can be written as an improper fractionbymultiplying the whole number withthe fraction's denominator and adding that to the numerator, and finallywritingthatresult on top of the denominator. Animproper fractionis a typeof fractionwhere the numerator is greater than or equal to the denominator. |
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| 7095. |
In parallelogram LONM, what is OM? |
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Answer» In parallelogram LONM, what is OM?
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| 7096. |
If one zero of the polynomial (a2+ 9)x2+ 13x+ 6a is reciprocal of the other, find the value of a. |
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Answer» If one zero of the polynomial (a2+ 9)x2+ 13x + 6a is the reciprocal of the other, thenthe value of a is 3. A polynomial is defined as an algebraic expression whose maximum power of the variable must be a non-negative integer. |
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| 7097. |
What is the probability of getting a 4 each time if a die is rolled 3 times? |
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Answer» What is the probability of getting a 4 each time if a die is rolled 3 times? Solution: |
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| 7098. |
What is 25% of 40? |
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Answer» 25% of 40 is 10. A percentis a ratio of a number expressed out of100. |
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| 7099. |
Find all solutions in the interval [0, 2π). 4 sin2x - 4 sin x + 1 = 0 |
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Answer» Find all solutions in the interval [0, 2π). 4 sin2x - 4 sin x + 1 = 0 Solution: |
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| 7100. |
Approximate the real number solution(s) to the polynomial function f(x) = x3 + 4x2 + x - 6. |
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Answer» Approximate the real number solution(s) to the polynomial function f(x) = x3 + 4x2 + x - 6. Solution: |
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