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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.
| 7951. |
Evaluatei to the power of 3. |
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Answer» The value of i to the power of 3 is equal toi3 = -i. 'i', called 'iota', is defined as the square root of negative 1. It is used to represent a complex number. It is an imaginary number. |
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| 7952. |
How do you find the vertex of y = -3x² + 6x -4. |
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Answer» How do you find the vertex of y = -3x² + 6x -4. Solution: |
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| 7953. |
A quadratic equation has exactly one real number solution. Which is the value of its discriminant? |
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Answer» If a quadratic equation has exactly one real number solution, then the value of itsdiscriminant is always zero. We will use the concept of solutions of a quadratic equation to answer this question. |
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| 7954. |
Find the sum of the series: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 |
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Answer» The sum of the series1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 is equal to 45. Sum of an arithmetic series can be easily calculated using the formulaof the summation ofn terms of the series. |
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| 7955. |
A motorboat whose speed is 24km/hr in still water takes 1 hour more to go 32km upstream than to return downstream to the same spot. Find the speed of the stream. |
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Answer» The speed of the stream is 8 km/hr. Boat takes less time in downstream and more time upstream, to cover a certain distance. |
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| 7956. |
If you flip three fair coins, what is the probability that you'll get all three tails? |
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Answer» If you flip three fair coins, what is the probability that you'll get all three tails? Solution: |
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| 7957. |
What is 3 1/8 as a decimal? |
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Answer» 31/8 as adecimal is equal to 3.125 Decimalshavea whole numberand the fractional part separated by a decimal point. The decimalpresent between the whole number and fractions part is called the decimal point. For example, 3.5 is a decimal number. |
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| 7958. |
Find in metre the height of a pile of 25 books if each book is 3cm 5mm thick. |
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Answer» The height of 25 piles of books is 0.875 m, with each book having athickness equal to3cm 5mm. Centimeters , Millimetersand Meters are measuring units used to measure lengths ,heights and distances. |
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| 7959. |
Find the product 20½ ×19½. |
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Answer» The product 20½ ×19½ results in1599/4. A mixed fraction is a combination of a whole numberand a fraction, where both add up to give a 'mixed number'. |
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| 7960. |
Fill in the blank: Something that cannot be divided is called ____. |
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Answer» Indivisible numbers The division is a majorarithmeticoperationin which numbers are combined and dividedin such a way that it formsa new number. |
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| 7961. |
How to Findthe Area of aTriangle? |
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Answer» A = ½ (b × h) The area of a triangle is explained as the entire region that is enclosed by the three sides of any given triangle. In other words, it is equivalent to half of the base times height. |
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| 7962. |
What is 2 7/8 as a decimal? |
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Answer» 2 7/8 as adecimal is equal to2.875 Decimalshavea whole numberand the fractional part separated by a decimal point. The decimalpresent between the whole number and fractions part is called the decimal point. For example, 3.5 is a decimal number. |
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| 7963. |
How much less than -2 is -6? |
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Answer» 4 less than-2 is -6. To find any number less than a given number, we use the mathematical operation called subtraction |
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| 7964. |
The present age of Ravi and Menu are in the ratio 5:7. After 4 years their age will be in the ratio 3:4. Find their ages. |
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Answer» The present age of Ravi and Menu where their present age are in the ratio5:7 and the ratio after 4 years is 3:4,is 20 years and28 years. The ratio between any two numbers refers to that how much the first number is contained in the second one. We compare different values of the same quantity through ratios. |
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| 7965. |
Convert 2009 paise into rupees and write the result as a mixed fraction. |
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Answer» 2009 paise converted into rupees and written as a mixed fraction is equal to rupees 209/100. The rupee is an Indian currency that is subdivided into 100 paise. |
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| 7966. |
Using prime factorization, find the HCF of 24, 36 and 40. |
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Answer» HCF of 24, 36, 40 is 4. HCF (HighestCommon Factor) of 24, 36 and 40is the largestnumber that divides both 24, 36 and 40exactly. |
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| 7967. |
Consider the differential equation dy/dx= (y-1)/x. On the axes, sketch a slope field for the given differential equation at the nine points indicated. |
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Answer» Consider the differential equation dy/dx= (y - 1)/x. On the axes, sketch a slope field for the given differential equation at the nine points indicated.
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| 7968. |
Find dy/dx and d2y/dx2. x = 3 sin(t), y = 4 cos(t), 0 < t < 2π. |
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Answer» Find dy/dx and d2y/dx2. x = 3 sin(t), y = 4 cos(t), 0 < t < 2π. Solution: |
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| 7969. |
8/3 as aMixed Number |
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Answer» 8/3 as a mixed number would be written as 2 2/3. Mixed numbers include natural numbers as well as a fraction in them. A mixed number is written as Quotient (Remainder/Divisor) |
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| 7970. |
e) Factor of 50 |
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Answer» i)-none, ii) - d, iii) - a, iv) - none We will use the definition of factors and multiples to answer this question. |
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| 7971. |
iv) 20 d)Factorof 30 |
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Answer» i)-none, ii) - d, iii) - a, iv) - none We will use the definition of factors and multiples to answer this question. |
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| 7972. |
iii) 16 c) Multiple of 70 |
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Answer» i)-none, ii) - d, iii) - a, iv) - none We will use the definition of factors and multiples to answer this question. |
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| 7973. |
ii) 15 b) Multiple of 7 |
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Answer» i)-none, ii) - d, iii) - a, iv) - none We will use the definition of factors and multiples to answer this question. |
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| 7974. |
i) 35 a) Multipleof 8 |
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Answer» i)-none, ii) - d, iii) - a, iv) - none We will use the definition of factors and multiples to answer this question. |
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| 7975. |
Column1 Column2 |
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Answer» i)-none, ii) - d, iii) - a, iv) - none We will use the definition of factors and multiples to answer this question. |
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| 7976. |
Match the items in column 1 with the items in column 2. |
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Answer» i)-none, ii) - d, iii) - a, iv) - none We will use the definition of factors and multiples to answer this question. |
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| 7977. |
Find five rational numbers between 3 and 4. |
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Answer» Five rational numbers between 3 and 4 are31/10, 32/10, 33/10, 34/10, and 35/10. A rational number is formed when any two integersp and qare expressed in the form of p/q, where q≠ 0. |
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| 7978. |
Solve x2 − 8x − 20. x = 4, x = −5, x = −4, x = 5, x = 2, x = −10, x = −2, x = 10 |
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Answer» For x2 − 8x − 20, x = -2, 10 The above given equation is aquadratic equation. |
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| 7979. |
A number is divisible by 8, by what other numbers will that number be divisible? |
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Answer» If a number is divisible by 8, then it is also divisible by 2, and 4. It should be multiples of 8. |
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| 7980. |
If a varies inversely as b, and a = 3 when b = 4 then what is the value of b when a = 48? |
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Answer» If a varies inversely as b, and a = 3 when b = 4 then what is the value of b when a = 48? Solution: |
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| 7981. |
Is the equation x9 - 5x3 + 6 = 0 quadratic in form? Explain why or why not. |
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Answer» Is the equation x9- 5x3+ 6 = 0 quadratic in form? Explain why or why not. Solution: |
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| 7982. |
Find the exact value by using a half-angle identity. Cosine of five pi divided by twelve. |
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Answer» Find the exact value by using a half-angle identity. Cosine of five pi divided by twelve. Solution: |
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| 7983. |
How many tiles, square in shape of side 16 cm, will be required to pave a rectangle of dimensions 6.4m x 5m? |
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Answer» The number of squareshaped tiles of side 16 cm required to pave a rectangle of dimensions 6.4m x 5m will be1250 TheArea of the squareis defined as the surface enclosed by a square given by the square of it's sideand thearea of a rectangleis defined as the surface enclosed by a rectangle given by the product of it's length and breadth |
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| 7984. |
What is the area of the figure? |
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Answer» The area of the figure is 143.3square centimeters.
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| 7985. |
Use the graph to determine open intervals on which the function is increasing, decreasing, or constant. |
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Answer» Using the graph, theopen intervalon which the function is increasing is (-∞, -2) U(2, ∞) and decreasing in(-2, 2) interval.Also,there is no interval where the function is constant.
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| 7986. |
Consider the function on the interval (0, 2π). f(x) = sin x + cos x. Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) |
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Answer» Consider the function on the interval (0, 2π). f(x) = sin x + cos x. Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) Solution: |
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| 7987. |
What is3 of 1000.00? |
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Answer» 3 of 1000.00 is 3000. Multiplication also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 7988. |
The sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares |
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Answer» The sides of the first square and the second square, whose sum of the areas is 468 m2and thedifference of their perimeters is 24m, is 18m and12m respectively A perimeter is defined as the total length of the boundaries of a square |
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| 7989. |
In class, there are 15 boys and 10 girls. How many ways a teacher can select 1 boy and 1 girl to represent the class at a seminar? |
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Answer» Theteacher can select 1 boy and 1 girl to represent the class at a seminar, in 150 different ways. Probability is defined as how likely an event is to occur |
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| 7990. |
The distance between Delhi and Agra is 200 km. A train travels the first 100 km at speed of 50km/h. How fast must the train travel the next 100km so that the average speed for the whole journey is 70km/h? |
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Answer» The train must travel at a speed of 116.67 km/h for the next 100km so that the average speed for the whole journey is 70km/h. Time, speed, and distance are related using the equation: Distance = Speed× Time. |
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| 7991. |
The measure of one angle is 130°. What is true regarding the 130° angle and angle 3 in the given figure? |
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Answer» The angle 130° and angle 3are alternate interior angles hence angle 3 is equal to 130°.
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| 7992. |
How do you find the minimum and maximum values of a function? |
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Answer» How do you find the minimum and maximum values of a function? Solution: |
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| 7993. |
What is10 of 15? |
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Answer» 10 of 15is 150. Multiplication also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 7994. |
What is 21degrees Celsius in Fahrenheit? |
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Answer» 21°Celsiusis equal to 69.8°Fahrenheit. The two different types of units to measuretemperatureareCelsiusandFahrenheit. |
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| 7995. |
Solve for x: 4 − (x + 2) < −3 (x + 4) |
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Answer» x < -7 When one expression is greater than or less than another expression, we have inequality. |
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| 7996. |
What is 1 3/4 to decimal? |
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Answer» 1 3/4 to decimal is 1.75. An example of a decimal number is the number 1.66. The number "1.66" is the part of a whole and is the approximate equivalent of the fraction 83/50. |
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| 7997. |
What is one-half of two-thirds? |
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Answer» One-half of two-thirds is equal to 1/3. The question is based on the multiplication of fractions. |
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| 7998. |
Is rational numbers and irrational numbers are in the set of real numbers? |
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Answer» Yes. The rational numbers and irrational numbers are in the set of real numbers. Numbers that can be expressed in a/b or fraction form arerational numberswherea is an integer and b is a non-zero integer and anirrational numberare the numbers that cannot be written in a/b form. |
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| 7999. |
If 2x – 3(x + 4) = –5, then x = ? |
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Answer» For2x – 3(x + 4) = –5, the value of x is-7. An equation is a mathematical expression used to represent the equality between any two expressions. |
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| 8000. |
In a leap year, a day is added to what month? |
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Answer» In a leap year, an extra day is added to the month of February. A leap year repeats itself after every 4 years and it has 366 days. |
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