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.
| 6651. |
Determine the largest 3 digit number which is exactly divisible by 8, 10, and 12. |
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Answer» The largest 3-digit number which is exactly divisible by 8, 10, and 12 is 960 We will find the least common multiple (LCM) of 8, 10 and 12 |
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| 6652. |
What value of x is in the solution set of 9(2x + 1) < 9x - 18? |
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Answer» What value of x is in the solution set of 9(2x + 1) < 9x - 18? Solution: |
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| 6653. |
Given the three side lengths, how can you tell if a triangle is a right triangle? |
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Answer» If sides of the triangle follow the Pythagoras relation then the triangle isa right-angled triangle. We will use the concept of the Pythagoras theorem in order to find the required answer. |
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| 6654. |
According to the order of precedence, the expression (25 × 2) / 5 would calculate the result of 10. True or false? |
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Answer» It is true thatthe expression (25 × 2) / 5 would calculate the result of 10following the order of precedence. The fundamental operations follow an order of precedence called BODMAS. Let'ssolve a problem related to this concept. |
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| 6655. |
Prove that cot x. cot 2x - cot 2x. cot3x - cot x. cot3x = 1. |
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Answer» cot x. cot 2x - cot 2x. cot3x - cot x. cot3x = 1 Trigonometry is abranch of mathematics that deals with the relation between the angles and sides of a triangle. |
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| 6656. |
Apply the rules for order of operations to simplify 2 + 3 - 4 + (5 × 4). |
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Answer» Apply the rules for order of operations to simplify 2 + 3 - 4 + (5 × 4). Solution: |
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| 6657. |
If the polynomial 2x3+ ax2+ 3x -5 and x3+ x2-4x + a leave the same remainder when divided by x - 2, Find the value of a. |
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Answer» The value of a is- 13/ 3. A polynomialis an algebraic expression that has constants, variables, and coefficients with a point where the value of the polynomial becomes zero as a whole. |
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| 6658. |
If 40 percent of a number is subtracted from the second number then the second number is reduced to its 3/5. Find the ratio between the first number and the second number. |
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Answer» The ratio between the first number and the second number is 1:1. This problem can be solved using the concept of ratios. |
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| 6659. |
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.) |
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Answer» A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.) Solution: |
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| 6660. |
Find the sum of the \(\sum_{i=5}^{13}3i + 2\) |
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Answer» Find the sum of the \(\sum_{i=5}^{13}3i + 2\) Solution: |
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| 6661. |
Find an equation of the plane. The plane through the points (0, 5, 5), (5, 0, 5), and (5, 5, 0). |
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Answer» Find an equation of the plane. The plane through the points (0, 5, 5), (5, 0, 5), and (5, 5, 0). Solution: |
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| 6662. |
Find the center and radius of the sphere x2 + y2 + z2 - 6y + 8z = 0. |
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Answer» Find the center and radius of the sphere x2 + y2 + z2 - 6y + 8z = 0. Solution: |
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| 6663. |
What is the integration of log ((1- x)/ x) with limit 0 to 1? |
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Answer» The value of \(\int_0^1\) log ((1 - x) / x) dx is 0. To find the value of this we will use \(\int_0^{2a}\)f (x) dx = \(\int_0^{2a}\) f (x - 2a) dx. |
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| 6664. |
What is indicated by a positive value for a correlation? |
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Answer» Apositive correlation indicatesthat the two variables X and Y change in the same direction and sam magnitude. We use correlation to measure how closely our input (x) increases and decreases with output (y) and vice-versa. The value of correlation is positive, if they are in sync, or increase together and fall together. |
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| 6665. |
Find the angle measure indicated. Assume that lines which appear to be tangent are tangent. |
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Answer» Find the angle measure indicated. Assume that lines which appear to be tangent are tangent.
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| 6666. |
A sample of n = 25 scores have M = 20 and s2= 9. What is the sample standard deviation? |
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Answer» A sample of n = 25 scores have M = 20 and s2 = 9. What is the sample standard deviation? Solution: |
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| 6667. |
How to find the x and y-intercepts of a function? |
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Answer» To find the x-intercept of a line, we substitute y = 0 in the equation and find the corresponding value of x, and to find the y-intercept of a line, we substitute x= 0 in the equation and find the corresponding value of y. The x-intercept of a line is that point where it cuts the x-axis of the graph, and the y-intercept of a line is that point where it cuts the y-axis of the graph. |
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| 6668. |
What number would complete the pattern below? 107, 98, 90, 83, 77, __, 68, 65 |
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Answer» What number would complete the pattern below? 107, 98, 90, 83, 77, __, 68, 65 Solution: |
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| 6669. |
Find the equation of the plane passing through the point (1, 4, -2) and parallel to the plane 2x - y + 3z + 7 = 0. |
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Answer» Find the equation of the plane passing through the point (1, 4, -2) and parallel to the plane 2x - y + 3z + 7 = 0. Solution: |
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| 6670. |
What is 1/4 plus 1/4? |
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Answer» 1/4 plus 1/4 is 1/2. This question is based on the addition of fractions. |
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| 6671. |
Read the numbers and decide what the next number should be. 5, 15, 6, 18, 7, 21, 8,…? |
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Answer» Read the numbers and decide what the next number should be. 5, 15, 6, 18, 7, 21, 8,…? Solution: |
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| 6672. |
What is 25% of 60? |
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Answer» 25% of 60 is 15. A percentis a ratio of a number expressed out of100. |
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| 6673. |
Solve: x / 2 + x / 4 = 1/8 |
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Answer» The value of x is 1 / 6 for the equation x / 2 + x / 4 = 1/8. Linear equations in One Variableare equations with only one variable expressed in the form of ax + b = 0 where x is a variable a and b are integers with only one solution. |
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| 6674. |
How Many Km in a Mile? |
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Answer» There are 1.60934 kilometers in a mile. Km and miles are units used to measure length, especially where distances are considered. |
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| 6675. |
The length of a long rod is measured first by using pace-span and then, by using foot-span of a person. For the person, the length of one pace-span is four times the length of one foot-span. If the length of the rod is 6 pace-spans, then what is the length of the rod in terms of foot-span? |
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Answer» For the person, the length of one pace-span is four times the length of one foot-span. The length of the rod is 6 pace spans, then the length of the rodis 24-foot spans. Measuring length means measuring the length of any object with the help of measuring tools like scale, etc. |
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| 6676. |
Explain why a rectangle is a convex quadrilateral. |
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Answer» A rectangle is a convex quadrilateral as the value of eachof its interior angles is less than 180°. A quadrilateral is a four-sided shape with four sides. A rectangle is a quadrilateral with all interior angles equal to 90° and opposite sides are parallel and equal. |
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| 6677. |
The difference between integers x and -6 is -5 . Find the value of x. |
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Answer» The value of x for which thedifference between integers x and -6 is -5 is -11 An integeris a number with no decimal or fractional part, from the set of negative and positive numbers, including zero |
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| 6678. |
Find the terminal point p(x, y) on the unit circle determined by the given value of t. t = -7π/6, p(x, y) = (-3/√2, -1/2). |
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Answer» Find the terminal point p(x, y) on the unit circle determined by the given value of t. t = -7π/6, p(x, y) = (-3/√2, -1/2). Solution: |
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| 6679. |
4+1=5 5+2=12 3+6=21 8+11=? |
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Answer» For the given series4+1=5, 5+2=12, 3+6=21, 8+11=96 Sequence is a list of numbers (or items) that exhibits a particular pattern. |
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| 6680. |
What does an equilateral triangle look like? |
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Answer» Equilateral triangle is a 3-sided polygon whose all 3 sides and 3 angles are equal. An equilateral triangle is a type of atrianglethat has all three sides equal. |
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| 6681. |
What is the value of sin 2A, If A is 30º? |
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Answer» What is the value of sin 2A, If A is 30º? Solution: |
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| 6682. |
What is the remainder when (3x4 + 2x3 - x2 + 2x - 14) ÷ (x + 2)? |
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Answer» What is the remainder when (3x4 + 2x3 - x2 + 2x - 14) ÷ (x + 2)? Solution: |
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| 6683. |
How to find the radius of a sphere with the volume? |
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Answer» To find the radius of a sphere with the volume, we use the formula:r = (3V/4π)1/3 We will use theformula of the volume of the sphere in order to find the radius. |
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| 6684. |
Verify a-(-b) = a+b for the following values 'a' and 'b' (i) a = 75, b = 84(ii) a= 118, b = 125 (iii) a = 25, b = 130 |
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Answer» The given expression a-(-b) = a + b holds true for all given pairs of a and b. The given expression is based on addition and subtraction ofintegers |
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| 6685. |
Numeral for sixteen crores four lakh fifty thousand three hundred ten is: (1) 16450310 (2) 160450310 (3) 164005310 (4) 16004510 |
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Answer» The numeral for sixteen crores four lakh fifty thousand three hundred ten is 160450310. Option(2). The number names are the way of expressing the given number in words using the concept of place value. |
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| 6686. |
How to find the least common multipleof two numbers? |
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Answer» List the first few multiples of eachnumberand look for the multiples that are commonto both the lists. Then, look for the smallest numberthat iscommon in them. The least common multiple of two numbers is thesmallest non-zero common numberwhich is a multiple of both the numbers. We can find the LCM by using the prime factorization and the common division method. |
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| 6687. |
What is 0 to the power of 2? |
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Answer» 0 to the power of 2 is 0. Exponent is an important concept in mathematics. It makes our calculations a lot simpler and can be used to represent very large numbers in compact form. |
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| 6688. |
The graph of a line passes through the points(0,-2)and(6,0). What is the equation of the line? |
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Answer» The graph of a line passes through the points(0,-2)and(6,0). What is the equation of the line? Solution: |
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| 6689. |
If two complementary angles have measures in the ratio of 1 to 5. Find the measure of each angle. |
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Answer» 15ºand 75ºare the two complementary angles that have their measures in the ratio of 1 to 5. Two angles are said to be complementary if their sum is equal to 90º. |
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| 6690. |
Solve for x: 2 over 5 plus 3x over 5equals quantity x plus 5 over 10. |
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Answer» For the given equation, 2 over 5 plus 3x over 5equals quantity x plus 5 over 10, the value of x = 1 / 5 We will use the concept of linear equations and transpositions to solve for x. |
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| 6691. |
What is the probability of rolling a sum of 5 if two regular 6-sided number cubes are rolled? |
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Answer» What is the probability of rolling a sum of 5 if two regular 6-sided number cubes are rolled? Solution: |
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| 6692. |
How many 45 degree angles does it take to make a full turn? |
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Answer» It takes eight 45 degree anglesto make a full turn. A full turn or rotation is 360 degrees. |
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| 6693. |
Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4? -5 with multiplicity 2 and 1/3 with multiplicity 4 5 with multiplicity 2 and 1/3 with multiplicity 4 -5 with multiplicity 2 and 0 with multiplicity 4 5 with multiplicity 2 and 0 with multiplicity 4 |
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Answer» Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4? -5 with multiplicity 2 and 1/3 with multiplicity 4 5 with multiplicity 2 and 1/3 with multiplicity 4 -5 with multiplicity 2 and 0 with multiplicity 4 5 with multiplicity 2 and 0 with multiplicity 4 Solution: |
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| 6694. |
What is the exact value of sin 30° ? Enter your answer, as a simplified fraction |
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Answer» What is the exact value of sin 30° ? Enter your answer, as a simplified fraction Solution: |
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| 6695. |
What is the LCM of 1.5 and 5? |
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Answer» LCM of 1.50and 5.00is 15 LCM of 1.50 and 5.00 is the smallest number which divides both 1.50 and 5.00exactly without a remainder. |
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| 6696. |
In the problem 10 − 4 = 6, What's the correct term for the number 4? |
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Answer» In the problem 10 - 4 = 6, the correct term for the number 4 is subtrahend. The process of taking away or removing from a group is called subtraction. It is denoted by the symbol ( - ). |
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| 6697. |
The function below has at least one rational zero. Use this fact to find all zeros of the function h(x) = 7x4 - 9x3 - 41x2 + 13x + 6. If more than one zero, separate with commas. Write exact values, not decimal approximations. |
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Answer» The function below has at least one rational zero. Use this fact to find all zeros of the function h(x) = 7x4 - 9x3 - 41x2 + 13x + 6. If more than one zero, separate with commas. Write exact values, not decimal approximations. Solution: |
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| 6698. |
Find the possible values of n in the inequality -3n < 81. |
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Answer» Find the possible values of n in the inequality -3n < 81. Solution: |
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| 6699. |
What is the formula for finding the area of a trapezoid? |
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Answer» The formula for the area of a trapezoid is 1/2 × (sum of the length of parallel sides)× height. Trapezoids are shapes having one pairof parallel lines. They have many interesting properties and have many applications in various fields. |
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| 6700. |
A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in3. The length is 4 inches greater than twice the width. What is the width of the box? |
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Answer» A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in3. The length is 4 inches greater than twice the width. What is the width of the box? Solution: |
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