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.
| 7151. |
How many months are there in a year? How many months in a year have 30 days?, How many months in a year have 31 days?,Which month has the least number of days? How many days does February have? |
| Answer» There are 12 months in a year. There are 4 months in a year that have 30 days. There are 7months in a year that have 31days. February has the least number of days. February has 29 days in a leap year and 28 days in a common year. | |
| 7152. |
How to express 2to the power of 12? |
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Answer» 2to the power of 12can be expressed as 212= 2× 2× 2× … 12 times = 4096. Power in exponents is defined as the total number of times we use the number ina multiplication.For example, 4to the power 3 means 4is multiplied 3 times. |
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| 7153. |
What is the reciprocal of a number? |
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Answer» What is the reciprocal of a number? Solution: |
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| 7154. |
How many miles per hour can the fastest human run? |
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Answer» The fastest anyonehas run so faris about 27½ miles per hour. The fastest speeds achieved by humans are through sprinters that train to run as fast as they can during races. |
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| 7155. |
Find the value of x in the following equation 8 – 4x = 2x – 4. |
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Answer» The value of x in the following equation 8 – 4x = 2x – 4 is 2. We will use the concept of linear equations in order to find the value of x. |
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| 7156. |
What is the prime factorization of 50? |
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Answer» What is the prime factorization of 50? Solution: |
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| 7157. |
What does in terms of Xmean? |
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Answer» When we explicitly express the dependant variable (Y) in relationtothe independent variable (X), we call that as 'Y is expressed in terms of X'. An algebraic expression (or) avariable expressionis a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. |
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| 7158. |
Every integer is a rational number. true or false? |
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Answer» Every integer is a rational number. The statement is true. A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. |
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| 7159. |
Can we write 0 in the form of p/q? |
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Answer» Yes, we can write 0 in the form of p/q Any number that can be represented in the form of p/q whereq ≠ 0 is known as a rational number. |
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| 7160. |
What is 10 to the 9th power? |
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Answer» The value of 10 to the 9th power is 1,000,000,000. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 7161. |
What is the difference between 2 cos x and cos 2x? |
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Answer» 2 cosx is twice the cosine of angle x and lies in the range of [-2 , 2] whereas, cos 2x is the cosine of the angle 2x, two times the angle x and itlies between [-1 , 1]. The cosine function is one of the primary mathematical trigonometric functions. It is complementary to the cosine function (co + cosine) |
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| 7162. |
Find the ratio of the area inside the square but outside the circle to the area of the square in the figure. |
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Answer» Find the ratio of the area inside the square but outside the circle to the area of the square in the figure. Solution: |
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| 7163. |
How much work does this force do as the particle moves along the x-axis from x = 0 to x = 1? If F = 7 - 2x + 3x2 |
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Answer» How much work does this force do as the particle moves along the x-axis from x = 0 to x = 1? If F = 7 - 2x + 3x2 Solution: |
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| 7164. |
How to find the x and y-intercepts of an equation? |
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Answer» To find the x-intercept of an equation, we substitute y = 0 in the equation and find the corresponding value of x, and to find the y-intercept of an equation 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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| 7165. |
Which zero pair could be added to the function f(x) = x2 + 12x + 6 so that the function can be written in vertex form? 3, -3; 6, -6; 9, -9; 36, -36 |
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Answer» Which zero pair could be added to the function f(x) = x2 + 12x + 6 so that the function can be written in vertex form? 3, -3; 6, -6; 9, -9; 36, -36 Solution: |
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| 7166. |
The present value of $1,000 to be received in 5 years is ________ if the discount rate is 12.78%. |
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Answer» The present value of $1,000 to be received in 5 years is ________ if the discount rate is 12.78%. Solution: |
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| 7167. |
Which of the following is equal to the square root of the cube root of 5? 5 to the power of 1 over 3 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 3 over 2 |
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Answer» Which of the following is equal to the square root of the cube root of 5? Solution: |
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| 7168. |
What will be the equation of a circle with a center at (–3, –5) and a radius of 6 units? |
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Answer» What will be the equation of a circle with a center at (–3, –5) and a radius of 6 units? Solution: |
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| 7169. |
If a and b are independent events with p(a) = 0.4 and p(b) = 0.25, then p(a ∪ b) =? |
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Answer» If a and b are independent events with p(a) = 0.4 and p(b) = 0.25, then p(a∪b) =? Solution: |
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| 7170. |
Given the exponential equation 2x = 8, what is the logarithmic form of the equation in base 10? |
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Answer» Given the exponential equation 2x = 8, what is the logarithmic form of the equation in base 10? Solution: |
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| 7171. |
What do the side lengths of a triangle add up to? |
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Answer» The sum of any two sides of a triangle is always greater than the third side. Triangles are very important shapes and are an integral part of geometry. These shapes are used extensively in architecture and are also considered one of the strongest shapes from the architectural point of view. They have many interesting properties. |
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| 7172. |
(a) 1 crore (b) 10 lakh (c) 10 crore (d) 100 crore |
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Answer» 100 millionis equal to 10 crores. Million refers to a number in the International Number System, whereas, lakh and crore is used in the Indian Number System. |
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| 7173. |
Question: 100 million is equal to |
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Answer» 100 millionis equal to 10 crores. Million refers to a number in the International Number System, whereas, lakh and crore is used in the Indian Number System. |
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| 7174. |
Prove that tanθ cotθ = 1? |
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Answer» tanθ cotθ = 1 We will use a trigonometric identity thattanθ = 1/cotθ |
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| 7175. |
Given the equation √2x - 5 = 2, solve for x and identify if it is an extraneous solution. |
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Answer» Given the equation √2x - 5 = 2, solve for x and identify if it is an extraneous solution. Solution: |
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| 7176. |
How do you change a rational number to a decimal? |
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Answer» In order to change a rational number to a decimal, wedivide the numerator with the denominator orcan be converted to a decimal by the divisionmethod. Numbers that can be expressed in a/b or fraction form is arational numberwherea is any integer and b is a non zero integer. |
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| 7177. |
If the difference between 14 and 5 is less than 6, add 2; if it is greater than 7, subtract 4. What is the correct answer? |
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Answer» If the difference between 14 and 5 is less than 6, add 2; if it is greater than 7, subtract 4. What is the correct answer? Solution: |
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| 7178. |
How to find the missing angle of a right triangle whose one of the angles is measured to be 36 degrees? |
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Answer» The missingangle of a right triangle whose one of the angles is measured to be 36 degreesis 54 degrees. Right-angled triangles are very important and interesting types of triangles that have many interesting properties. They follow the Pythagoras theorem. Trigonometry is the study of mathematics that deals with relationships between sides and angles of right-angled triangles a lot. Now, lets understand how to find the missing angle of a right triangle. |
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| 7179. |
An angle is one-fifth of its supplement find the measure of the angle |
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Answer» An angle which is one-fifth of its supplementis 30° Two angles are said to be supplementary angles if they add up to 180 degrees. Supplementary angles form a straight angle (180 degrees) when they are put together as adjacent angles. |
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| 7180. |
The numerator of a fraction is 4 less than denominator. If 1 is added to both its numerator and denominator, it becomes 1/2.Find the fraction. |
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Answer» The fraction in which the numerator is 4 less than denominator and if 1 is added to both its numerator and denominator, it becomes 1/2 is 3/7 Afractionrepresents a part of a whole or, more commonly, any number of equal parts. |
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| 7181. |
What Is a Factor of a Number? |
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Answer» A factoris a number that divides the given number without any remainder. A factor of a number in math is a number that divides the given number. |
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| 7182. |
Find the remainder when f(x) = x3 - 14x2 + 51x - 22 is divided by x - 7? |
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Answer» Find the remainder when f(x) = x3- 14x2+ 51x - 22 is divided by x - 7? Solution: |
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| 7183. |
What is the formula for the volume of a sphere? |
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Answer» There are two different formulas for the volume of a sphere. (a)Volume of a solid sphere =(4/3)πr3, (b) Volume of a hollow sphere = (4/3)π(R3- r3). A sphereis athree-dimensional solid figure that is round in shape. |
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| 7184. |
Find the remainder when f(x) = 2x3- 12x2+ 11x + 2 is divided by x - 5. 3, - 7, 7, - 3 |
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Answer» Find the remainder when f(x) = 2x³ - 12x² + 11x + 2 is divided by x - 5. 3, - 7, 7, - 3 Solution: |
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| 7185. |
What is halfof 5/8? |
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Answer» Half of 5/8 is 5/16. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 7186. |
If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to f(g(10))? |
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Answer» If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to f(g(10))? Solution: |
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| 7187. |
What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? |
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Answer» What are the coordinates of the vertex for f(x) = 3x2+ 6x + 3? Solution: |
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| 7188. |
Solve the system of linear equations below. 6x + 3y = 33, 4x + y = 1 |
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Answer» Solve the system of linear equations below. 6x + 3y = 33, 4x + y = 1 Solution: |
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| 7189. |
What is 1/9 as a percent? |
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Answer» 1/9 as a percent is 11.11% A percentage is defined as a given part or amount in every hundred. |
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| 7190. |
From the given two angles which has a larger measure? Estimate and then confirm by measuring them. |
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Answer» Figure -1 is an acute angle and measures 60 degrees and figure - 2 is a right angle and measures 90 degrees.
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| 7191. |
What is the differential equation for dy/dx = xe^(y - 2x)? |
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Answer» Solution to the differential equation,dy / dx = xe^(y - 2x) ise-y= 1/2e-2x(x + 1/2) + c A differential equation is an equation that relates one or more functions and their derivatives. |
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| 7192. |
Show that: n2- 1 is divisible by 8 if n is an odd positive integer. |
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Answer» n2- 1 is divisible by 8 for n is an odd positive integer. Odd positive integers are odd numbers greater than zero. Integers are denoted by 'z'. |
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| 7193. |
The function g(x) is defined as shown below. What is the value of g(3)? |
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Answer» The function g(x) is defined as shown below. What is the value of g(3)?
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| 7194. |
What is the full form of HCF and LCM? |
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Answer» The full form of HCF is the Highest Common Factor and the full form of LCM is the Least Common Multiple. The HCFof two numbers is the highest possible number which divides both the numbers completely. |
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| 7195. |
What are the first 5 prime numbers? |
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Answer» 2, 3, 5, 7, and 11 are the first five prime numbers. Prime numbers are the numbers that have only two factors, that are, 1 and the number itself. |
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| 7196. |
Medicine is packed in boxes, each weighing 4 kg 500 g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg? |
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Answer» Medicine is packed in boxes, each weighing 4 kg 500 g. 177 such boxes can be loaded in a van which cannot carry beyond 800 kg. Volumeis the amount of space that something contains or fills. |
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| 7197. |
If a polynomial function f(x) has √3 and √7, what must also be a root of f(x)? |
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Answer» If a polynomial function f(x) has √3 and √7, what must also be a root of f(x)? Solution: |
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| 7198. |
Factor completely x² - 10x + 25. (x - 5)(x - 5), (x + 5)(x + 5), (x + 5)(x - 5), (x - 25)(x - 1) |
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Answer» Factor completely x² - 10x + 25. (x - 5)(x - 5), (x + 5)(x + 5), (x + 5)(x - 5), (x - 25)(x - 1) Solution: |
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| 7199. |
Evaluate lim h → 0 [√(9 + h) -3] / h. |
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Answer» The value of the lim h → 0 [√(9 + h) -3] / h is 1/6 We will use the concepts of limit in order to find the required answer. |
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| 7200. |
What is 27/8 as a Mixed Number? |
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Answer» 27/8 written asa mixed fraction is equal to 3 3/8. We can see 27/8is an improper fraction. This can be represented as a mixed number that will have a whole number as well as a fractional part. |
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