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.
| 4001. |
Which of the following will be the solution for a two-order inequality? (a) 3x - 7 > 17; x > 8 (b) x - 8 > 6; x > 14 (c) 3x < 66; x < 22 (d) None of these |
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Answer» 3x - 7 > 17; x > 8 (Option (a)) is the solution of a two order inequality. Inequalities are very important concepts and must be learned thoroughly in order to master concepts of algebra. They are used to denote ranges of values, and can also be represented in the form of graphs. They are used extensively in linear programming and optimization problems to predict the values of parameters. |
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| 4002. |
What is a polygon with 6 sides and 6 angles? |
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Answer» A polygon with 6 sides and 6 angles is called a hexagon. A polygon is a flat, 2D closed shape with straight sides. |
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| 4003. |
A circle has its center at (1, 4) and a radius of 2 units. What is the equation of the circle? |
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Answer» A circle has its center at (1, 4) and a radius of 2units. What is the equation of the circle? Solution: |
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| 4004. |
In the diagram, SR = 4√2and QR = √10. What is the perimeter of parallelogram PQRS? |
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Answer» In the diagram, SR = 4√2and QR =√10. What is the perimeter of parallelogram PQRS?
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| 4005. |
If A and B are mutually exclusive events with P(A) = 0.3, P(B) = 0.5, then P(A∩B) is equal to what? |
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Answer» If A and B are mutually exclusive events with P(A) = 0.3, P(B) = 0.5, then P(A ∩ B) is equal to what? Solution: |
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| 4006. |
Use the substitution method to solve the following system of equations: 3x + 5y = 3, x + 2y = 0 |
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Answer» (6, -3) is the solution to the above equations. We will use the substitution method in order to find the values of x and y. |
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| 4007. |
How many Pounds in a Kilogram? |
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Answer» There are 2.20462 pounds in a kilogram. Both pounds and kilograms are units used to measure mass. |
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| 4008. |
Solve for x. 3(3x - 1) + 2(3 - x) = 0 |
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Answer» Solve for x. 3(3x - 1) + 2(3 - x) = 0 Solution: |
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| 4009. |
Area of the four walls of a room is 108m2. If the height and length of the room are in the ratio of 2: 5 and the height and breadth in the ratio 4 : 5, then the area in m2of the floor of the room is: (1) 72 (2) 54 (3) 45 (4) 24 |
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Answer» The area of the floor of a room whoseheight and length are in the ratio of 2 : 5, and the height and breadth are in the ratio 4: 5, is45 m2. Area of the four walls of a room can be calculated by finding the lateral surface area of a cuboid. |
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| 4010. |
Find the Value oftan 1° tan 2° tan 3° … tan 89° |
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Answer» The value oftan 1° tan 2° tan 3° … tan 89° = 1 We will use different tan identities to find out the value of the expression. |
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| 4011. |
What could be the Lateral Surface Areaof a cube of side 1 cm? |
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Answer» The Lateral Surface Areaof a cube of side 1 cm is 4 square cm. A cube is a 3-dimensional figure with six flat faces, 8 edges, and 12 vertices. The Lateral Surface Area of a cube is the sum of areas of its 4 sides excluding the bottom and top. |
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| 4012. |
Find the exact length of the curve. y = ln(1-x2 ), 0 ≤ x ≤ 1/5. |
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Answer» Find the exact length of the curve. y = ln(1 - x2 ), 0 ≤ x ≤ 1/5. Solution: |
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| 4013. |
How many pints in aquart? |
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Answer» 1 quart is 2 pints. A quart is known to be the same thing as 4 cups or 2 pints. |
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| 4014. |
In rolling a die, what is the probability of getting a 1? |
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Answer» The probability of getting 1 after rolling a die is 1 / 6. The probabilityof an event is the measure of how likely the event will occur at a given point oftime. There are many kinds of events for which we can find the probability. We can find how likely we can get a particular number after rolling a die or the probability of getting heads or tails after tossing a coin using various concepts. |
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| 4015. |
Find the LCM of the smallest composite number and the smallest prime number. |
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Answer» The LCM of the smallest composite number and the smallest prime number is 4. Prime numbersare the numbers that have only two factors, that are, 1 and the number itself. |
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| 4016. |
A die with 6 sides is rolled. What is the probability of rolling a number less than 5? |
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Answer» A die with 6 sides is rolled. What is the probability of rolling a number less than 5? Solution: |
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| 4017. |
1, 1, 2, 3, 4, 5, 8, 13, 21 - which one doesn't belong to this series? |
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Answer» The number 4 does notbelong to this series1, 1, 2, 3, 4, 5, 8, 13, 21. A series is a set of numbers following a pattern. |
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| 4018. |
What is 1/3of 60? |
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Answer» 1/3of 60 is 20. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 4019. |
How many ounces in a pint? |
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Answer» 1 pint is 16 fluid ounces. A unit of liquid or dry capacity equal to one-eighth of a gallon is known as a pint in the metric system. |
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| 4020. |
Find the exact length of the curve. y = ln(1-x2 ), 0 ≤ x ≤ 1/8. |
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Answer» Find the exact length of the curve. y = ln(1-x2 ), 0 ≤ x ≤ 1/8. Solution: |
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| 4021. |
How to write pi to 100 digits? |
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Answer» The value of Pi to 100 digits is shown below. Pi is a constant and its value is estimated as 3.14 |
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| 4022. |
Integrate 1 / (1 + cot x) using substitution method. |
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Answer» The solution to the give expression is (x/2) – (1/2)· log | sin x + cos x | + C We will make use of simple substitution of the whole integral value. |
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| 4023. |
What is 0.24 in per cent form? |
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Answer» 0.24 in per cent form is 24%. Percentageis defined as a given part or amount in every hundred. |
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| 4024. |
What is the radius of a circle whose equation is x2 + y2 + 8x -6y + 21 = 0? |
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Answer» What is the radius of a circle whose equation is x2+ y2+ 8x -6y + 21 = 0? Solution: |
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| 4025. |
Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Check all that apply. The function in vertex form is f(x) = (x - 4)2 - 11 The vertex of the function is (-8, 5) The axis of symmetry is x = 5 The y-intercept of the function is (0, 5) The function crosses the x-axis twice. |
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Answer» Which statements are true about the graph of the function f(x) = x2- 8x + 5? Check all that apply. Solution: |
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| 4026. |
How many ounces in aliter? |
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Answer» 1 liter is 33.814 fluid ounces. Ounces is the name given to several different units of mass, weight, or volume. |
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| 4027. |
How to find the nth term in a sequence with no constantdifference? |
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Answer» The given series has the nth term as n2 + 3. If the sequence doesn't have the constantdifference in its 1st level, it is bound tohave a constant difference at the 2nd or 3rd level. |
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| 4028. |
How many grams in a pound? |
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Answer» 1 pound is 453.59237 g (H2) Pounds and grams are different units measure ofmass. |
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| 4029. |
In the hexadecimal numbering system, the number 16 is expressed as? |
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Answer» The number 16 is expressed as 10 in the hexadecimal system. The hexadecimal numbering system is very useful for various purposes, which include microprocessor interfacing and other concepts in advanced mathematics. These are used to help machines understand codes in an efficient manner. We can convert decimal numbers to hexadecimal by few easy steps. Let's see how. |
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| 4030. |
How many feet in aYard? |
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Answer» 1 yard is 3 feet. The shortest and easiest way of writing the unit feet is by the abbreviation "ft." |
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| 4031. |
How to find the equation of a polynomial function from its graph? |
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Answer» The solution of the equation of the polynomial is completed only by the detailed analysis of the graph values used to find the unknown values of the polynomial. We may make use of the various properties of polynomial curves and use it in finding the equation of the polynomial asked. |
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| 4032. |
What is meant If we say that two variables are directly related? |
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Answer» Directly related variables mean that if x increases, then y increases, and if x decreases, then y decreases. We will use the concept of direct and indirect conversions to find the required answer. |
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| 4033. |
Prove that if the sum of the digits is divisible by 3, the number is divisible by 3. |
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Answer» We split the number in the form of power of 10's to prove the rule of divisibility of 3. The divisibility test for 3 is very important since it helps us to check if a number is divisible by 3. This is more useful in the case of larger numbers. It is known that we check if the sum of the digits is divisible by 3 to check its divisibility. Now, let's check how this rule is proved. |
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| 4034. |
Solve using the quadratic formula 2x2 - 2x = 1. |
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Answer» Solve using the quadratic formula 2x2 - 2x = 1. Solution: |
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| 4035. |
How many oz in a pound? |
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Answer» 1 pound is 16 ounces (oz) Ounce (oz) was derived from the old Italian word onza, meaning 1 ounce. |
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| 4036. |
Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even. |
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Answer» Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even. Solution: |
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| 4037. |
First make a substitution and then use integration by parts to evaluate the integral. x3cos(x2)dx |
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Answer» First make a substitution and then use integration by parts to evaluate the integral. x3cos(x2)dx Solution: |
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| 4038. |
How to find the area of a regular hexagon with side length of 10 units? |
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Answer» The area of a regular hexagon with side length of 10 is 259.8 sq. units. Hexagons are six-sided polygons that have many interesting properties. These shapes are very commonly used in making buildings and architectural structures. The hexagons which have equal sides are called regular hexagons. Let's solve a problem related to them. |
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| 4039. |
The product of two rational numbers can always be written as _________ |
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Answer» The product of two rational numbers can always be written as a rational number. A rational numberis anumbersuch that it can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. |
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| 4040. |
EFGH is a rhombus. Given EG = 16 and FH = 12, what is the length of one side of the rhombus? |
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Answer» EFGH is a rhombus. Given EG = 16 and FH = 12, what is the length of one side of the rhombus? Solution: |
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| 4041. |
What are the first five terms of the sequence given by the formula an = 6n + 1 |
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Answer» What are the first five terms of the sequence given by the formula an = 6n + 1 Solution: |
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| 4042. |
Determine the point estimate of the population mean and margin of error for the confidence interval. The lower bound is 17, upper bound is 25. What is the point estimate of the population mean? |
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Answer» Determine the point estimate of the population mean and margin of error for the confidence interval. The lower bound is 17, upper bound is 25. What is the point estimate of the population mean? Solution: |
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| 4043. |
What is 2 mod 3? |
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Answer» 2 mod 3 is 2. The mod or modulusor modulois the remainder after dividing one number by another. |
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| 4044. |
The width of a rectangle is 6 feet, and the diagonal is 10 feet. What is the area of the rectangle? |
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Answer» The width of a rectangle is 6 feet, and the diagonal is 10 feet. What is the area of the rectangle? Solution: |
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| 4045. |
What is 0.7 as a fraction? |
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Answer» Fractional form of 0.7 is 7/10. A fraction can be a portionor section of any quantity out of a whole. |
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| 4046. |
y = −x2 − 1; y = 2x2 − 4. |
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Answer» The solution to the system of equations giveny = −x2 − 1; y = 2x2 − 4,is (-1, -2) and (1, -2). Quadratic equations are equations with degrees equal to two. They can have at most two roots. A system of two quadratic equations can have at most two solutions, that is, the points where they intersect. |
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| 4047. |
Whatgraph correctly solves the system of equations below? |
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Answer» The solution to the system of equations giveny = −x2 − 1; y = 2x2 − 4,is (-1, -2) and (1, -2). Quadratic equations are equations with degrees equal to two. They can have at most two roots. A system of two quadratic equations can have at most two solutions, that is, the points where they intersect. |
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| 4048. |
According to the Indian rupee, 1k is equal to how many rupees? |
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Answer» 1k is equal to 1000 rupees. The 'k' that is usually placed after numbers means 'a thousand'. This is an abbreviation that is used after numbers that makes counting easier. For example, 1k, 20k, and so on. |
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| 4049. |
Choose the correct product of (7x - 6)2. 49x2 + 84x + 36 49x2 - 36 49x2 + 36 49x2 - 84x + 36 |
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Answer» Choose the correct product of (7x - 6)2. Solution: |
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| 4050. |
Find the mean of the first 10 odd numbers. |
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Answer» The mean of the first 10 odd numbers is 10 We will use the concept of average to find the mean of the first 10 odd numbers. |
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