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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.
| 7201. |
If a number is divisible by both 2 and 3 then we can say the number is divisible by |
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Answer» If a number is divisible by both 2 and 3 then we can say the number is divisible by Solution: |
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| 7202. |
Which of the following will convert a fraction to a decimal? a) Divide the numerator by the denominator b) Divide the denominator by the numerator c) Divide the denominator by 100. |
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Answer» Which of the following will convert a fraction to a decimal? Solution: |
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| 7203. |
What is the amplitude, period, and midline of f(x) = 3 cos(4x - π) + 2? |
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Answer» What is the amplitude, period, and midline of f(x) = 3 cos(4x - π) + 2? Solution: |
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| 7204. |
What is the prime factorization of 54? |
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Answer» What is the prime factorization of 54? Solution: |
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| 7205. |
What does standard form mean in math? |
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Answer» Standard form meaning is maths is defined as representation or notation of that particular element. Standard Form is defined as the most common way that is accepted. |
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| 7206. |
What fraction is equivalent to 1/4? |
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Answer» The fractions equivalent to 1/4are 2/8, 3/12, 4/16, etc. To find the equivalent fractions for any given fraction, we multiply or dividethe numerator and thedenominatorby the same number. |
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| 7207. |
What is the slope of the line whose equation is 5y + 6x - 2 = 0? |
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Answer» What is the slope of the line whose equation is 5y + 6x - 2 = 0? Solution: |
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| 7208. |
Draw any line segment, say AB. Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is AB = AC +CB? [Note: If A, B, C are any three points on a line, such that AC + CB = AB, then we can be sure that C lies between A and B.] |
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Answer» This statement is true that if A, B, C are any three points on a line, such that AC + CB = AB, then we can be sure that C lies between A and B. IfAC + CB = AB, then A, B, and C are said to be collinear points. |
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| 7209. |
Find the area of the surface. The part of the plane x+2y+3z=1 that lies inside the cylinder x2 + y2=3. |
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Answer» Find the area of the surface. The part of the plane x+2y+3z=1 that lies inside the cylinder x2 + y2=3. Solution: |
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| 7210. |
If sin θ = 21 over 29, use the Pythagorean identity to find cos θ. |
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Answer» If sin θ = 21 over 29, use the Pythagorean identity to find cos θ. Solution: |
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| 7211. |
Which of the following points lies on the line whose equation is y = 2x - 3? (0, 3), (1, -1), (-1, 4) |
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Answer» Which of the following points lies on the line whose equation is y = 2x - 3? Solution: |
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| 7212. |
Which of the following is coprime? a)13 and 14 b) 8 and 20 c) 31 and 59 d) 34 and 85 |
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Answer» Which of the following is coprime? a)13 and 14 b) 8 and 20 c) 31 and 59 d) 34 and 85 Solution: |
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| 7213. |
What is the altitude of a triangle? |
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Answer» A perpendicular that is drawn from the vertex of a triangle to the opposite side is called the altitude of a triangle. The triangle is apolygonwith three vertices and three edges. |
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| 7214. |
Solve for x: [(x + 2)/(x - 3)][(x - 2)/(x - 3)] = 1 |
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Answer» The solution to the given question[(x + 2)/(x - 3)] [(x - 2)/(x - 3)] = 1 is x = 13/6. The solution of the given equation is obtained by solving a linear equation in one variable. |
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| 7215. |
A six-sided die is tossed 3 times. Find the probability of observing three ones in a row is? |
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Answer» A six-sided die is tossed 3 times. Find the probability of observing three ones in a row is? Solution: |
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| 7216. |
Find an equation of the tangent line to the curve at the given point. y = sec x, (π/6, 2√3/3) |
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Answer» Find an equation of the tangent line to the curve at the given point. y = sec x, (π/6, 2√3/3) The equation of tangent to the curve f(x) at (a , b) can be found by finding the slope of tangent which is f'(a) |
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| 7217. |
If d is the HCF of 40 and 65, find the value of the integers x and y which satisfy d = 40x + 65y. |
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Answer» If d is the HCF of 40 and 65,the values of the integers x and y which satisfy d = 40x + 65y arex = 5, y = -3 HCF (Highest Common Factor) of twonumbers is the largest possible number which divides the two numbers exactly without any remainder. |
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| 7218. |
1 in 5 is what percent? |
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Answer» 1 in 5 is 20% The percentage is a fraction or a ratio in which the value of the whole is always 100. It indicates the amount of a thing per 100. |
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| 7219. |
Which is a zero of the quadratic function f(x) = 9x2 - 54x - 19? x = 1/3, x = 3 1/3, x = 6 1/3, x = 9 1/3 |
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Answer» Which is a zero of the quadratic function f(x) = 9x2- 54x - 19? Solution: |
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| 7220. |
Simplify 1 over quantity x minus 3 plus 4 over x all over 4 over x minus 1 over quantity x minus 3 ((1/(x-3)+4/x)/(x-1)/(x-3)) |
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Answer» On simplifying 1 over quantity x minus 3 plus 4 over x all over 4 over x minus 1 over quantity x minus 3 ((1/(x-3)+4/x)/(x-1)/(x-3))(5x-12) / x(x-1), we get (5x-12) /(3x-12) All fractions consist of a numerator and a denominator. |
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| 7221. |
What is 4 to the 3rd power? |
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Answer» The value of 4 to the 3rd power i.e., 43is 64. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 7222. |
What is 0.125 as a Fraction? |
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Answer» 0.125 as a fraction is written as 1/8. A fraction is a portion of any quantity out of a whole. It consists of a numerator and a denominator. |
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| 7223. |
How to Write a Decimal as a Fraction? |
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Answer» A decimal can be written as a fraction by counting the number of digits to the right of the decimal and then multiplying and dividing by the multiple of 10 as accordingly then reducing the fraction to its lowest form. Decimals and fractions are different notations of representing numbers. |
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| 7224. |
How to Write Twelve Thousand Twelve Hundred Twelve in Number? |
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Answer» Twelve thousand twelve hundred and twelve is written as 13212 in the numeral form. Numbers can be expanded in different forms according to their place values. They are expanded in words and in numerals. |
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| 7225. |
What is 3/2 as a decimal? |
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Answer» 3/2 as a decimal is expressed as 1.5 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
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| 7226. |
What is the orthocentre of a triangle? |
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Answer» What is the orthocentre of a triangle? Solution: |
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| 7227. |
How is 48049831 written in number name according to International system. |
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Answer» In the international system 48,049,831 is written as 'Forty-eight million forty-nine thousand eight hundred thirty-one'. An international place value system has to place the digits in a number in the sequence ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, hundred million, billions, and so on. |
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| 7228. |
Write the complex number in the form a + bi. 8(cos 30° + i sin 30°) |
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Answer» Write the complex number in the form a + bi. 8(cos 30° + i sin 30°) Solution: |
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| 7229. |
What is the discriminant of the quadratic equation 2x2 + 3x - 5 = 0? -37, -31, 43, 49 |
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Answer» What is the discriminant of the quadratic equation 2x2+ 3x - 5 = 0? Solution: |
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| 7230. |
Show that 0.2353535... = 0.235 can be expressed in the form of p/q, where p and q are integers and q is not equal to zero. |
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Answer» 0.2353535... = 0.235 can be expressed as 233/99 i.e., in the form of p/q, where p and q are integers and q is not equal to zero. The problem is based on the conversion of decimal numbers to a rational form. |
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| 7231. |
What is 50 degrees Cin Fahrenheit? |
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Answer» Temperature at 50 degrees Celsius is equal to the temperature at 122°Fahrenheit. CelsiusandFahrenheitare different types of units to measuretemperature. |
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| 7232. |
If c(x) = 4x - 2 and d(x) = x2 + 5x, what is c(d(x))? |
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Answer» If c(x) = 4x - 2 and d(x) = x2+ 5x, what is c(d(x))? Solution: |
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| 7233. |
Determine the equation of the tangent line to the given path at the specified value of t. (sin(5t), cos(5t), 2t7/2); t = 1 |
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Answer» Determine the equation of the tangent line to the given path at the specified value of t. (sin(5t), cos(5t), 2t7/2); t = 1 Solution: |
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| 7234. |
The equation f(x) = 5x2 - 30x + 6 represents a parabola. What is the vertex of the parabola? (-5, 281),(5, -19),(-3, 141),(3, -39) |
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Answer» The equation f(x) = 5x2- 30x + 6 represents a parabola. What is the vertex of the parabola? Solution: |
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| 7235. |
Factor completely 3x² - x - 4. (3x - 1)(x + 4), (3x + 4)(x - 1), (3x - 2)(x + 2), (3x - 4)(x + 1) |
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Answer» Factor completely 3x² - x - 4. (3x - 1)(x + 4), (3x + 4)(x - 1), (3x - 2)(x + 2), (3x - 4)(x + 1) Solution: |
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| 7236. |
Arational number is a number that can be written as a ratio of two integers. Is this statement true? |
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Answer» Yes.Arational number is a number that can be written as a ratio of two integers. A rational numberis a number that can be written in the form a/b, wherea is an integer and b is a non-zero integer. |
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| 7237. |
How to turn a mixed number into an improper fraction? |
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Answer» To turn a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction. The denominator of the improper fraction will be the same as the denominator of the proper fraction. Animproper fractionis a typeof fractionwhere the numerator is greater than or equal to the denominator. |
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| 7238. |
Find an equation of the tangent line to the curve at the given pointy = x3-2x + 2at (2, 6)? |
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Answer» Find an equation of the tangent line to the curve at the given pointy = x3-2x + 2 at (2, 6)? Solution: |
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| 7239. |
Which of the following statements best describes the graph of 3x - 2y = 4? a)It is a straight line joining the points (6, 2), (5, 1), and (7, 3). b) It is a straight line joining the points (0, -2), (2, 1), and (-2, -5). c) It is a curve joining the points (3, -2), (2, 3), and (4, 1). d) It is a curve joining the points (0, 2), (-2, -1), and (4, 1). |
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Answer» Which of the following statements best describes the graph of 3x - 2y = 4? Solution: |
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| 7240. |
Solve: (109) + (-75) |
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Answer» The value of (109) + (-75) is equal to 34. An integeris a number with no decimal or fractional part, from the set of negative and positive numbers, including zero. |
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| 7241. |
Deepak wrote out the steps to his solution of the equation 5/2 - 3x - 5 + 4x = -7/4 Step 1: 5/2 - 5 + 4x - 3x = -7/4 Step 2: -5/2 + x + -7/4 Step 3: -5/2 + 5/2 + x = -7/4 + 10/4 Step 4: x = 3/4 Which step has an incorrect instruction? |
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Answer» Deepak wrote out the steps to his solution of the equation 5/2 - 3x - 5 + 4x = -7/4 Step 1: 5/2 - 5 + 4x - 3x = -7/4 Step 2: -5/2 + x + -7/4 Step 3: -5/2 + 5/2 + x = -7/4 + 10/4 Step 4: x = 3/4 Which step has an incorrect instruction? Solution: |
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| 7242. |
How many triangles can be made if one angle is 95° and another angle is obtuse? |
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Answer» No triangle is possible if one angle is 95° and another angle is obtuse. We will use the concept of the sum of angles of a triangle to find the number of triangles. |
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| 7243. |
In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg. |
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Answer» In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg. Solution: |
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| 7244. |
What is the fundamental theorem of algebra? |
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Answer» The fundamental theorem of algebrastates that a polynomial p(x) of degree ncan have a maximum of nzeros. Apolynomialis a type of expression in which the exponentsof allvariablesshould be awhole number. |
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| 7245. |
For what values of a and b is the line 3x + y = b tangent to the parabola y = ax² when x = 2? |
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Answer» For what values of a and b is the line 3x + y = b tangent to the parabola y = ax² when x = 2? Solution: |
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| 7246. |
How to differentiate square root function √(1 + x + x2 + 2x3)? |
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Answer» The derivative of the square root function √(1 + x + x2 + 2x3) is (1 + 2x + 6x2)/ 2√(1 + x + x2 + 2x3). Differentiation or derivatives have many applications in various fields like engineering and science. They are used to find tangents and normals to various curves at different points. |
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| 7247. |
What is Three hundred and sixty-seven thousand seven hundred and fifty-two in numbers? |
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Answer» Three hundred and sixty-seven thousand seven hundred and fifty-two in numbers is 367,752. When we count in terms of ones, hundreds, thousands, ten thousand, hundred thousand, millions, and billions, then we are referring tothe International numeral system. |
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| 7248. |
How do you know which method to use when solving quadratic equations? |
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Answer» Follow the below steps to get the desired answer. An equation of the formax2+ bx + c = 0, wherea≠0 is called a quadratic equation. |
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| 7249. |
What is the seventh term of a sequence whose first term is 1 and whose common ratio is 3? |
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Answer» What is the seventh term of a sequence whose first term is 1 and whose common ratio is 3? Solution: |
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| 7250. |
Find the smallest number which when increased by 17 is exactly divisible by both 520 and 468. |
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Answer» 4663 isthe smallest number which when increased by 17 is exactly divisible by both 520 and 468. The solution can be done based on LCM. |
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