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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.
| 4801. |
Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x⁴ - 32x² - 144 2i, 12, -12; 2i, 6i, -6i; 2i, 6, -6; 2i, 12i, -12i |
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Answer» Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x⁴ - 32x² - 144 2i, 12, -12; 2i, 6i, -6i; 2i, 6, -6; 2i, 12i, -12i Solution: |
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| 4802. |
How many right angles do you make if you start facing: (a) South and turn clockwise to the west? (b) North and turn anti-clockwise to east? (c) West and turn to west? (d) South and turn to north? |
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Answer» (a) 1right angle (b) 3 right angle (c)4 right angle (d)2 right angle Clockwise direction means turning in the same direction ashands of the clock and anti-clockwisemeans turning in the opposite direction of hands of the clock. |
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| 4803. |
What is the sum of the geometric series \(\sum_{n=1}^{10}6(2)^{n}\) |
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Answer» What is the sum of the geometric series \(\sum_{n=1}^{10}6(2)^{n}\) Solution: |
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| 4804. |
What is the mode of the data? |
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Answer» What is the mode of the data? Solution: |
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| 4805. |
Sketch the region enclosed by the given curves. Y = 2/x, y = 8x, y = 1/2 x, x > 0. |
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Answer» Sketch the region enclosed by the given curves. Y = 2/x, y = 8x, y = 1/2 x, x > 0. Solution: |
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| 4806. |
What is the distance between the points (3, 12) and (14, 2)? |
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Answer» What is the distance between the points (3, 12) and (14, 2)? Solution: |
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| 4807. |
Why does a rational number can be written as the ratio of one integer to another? |
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Answer» A rational number can be written as the ratio of one integer to another because integers are of terminating decimal. The word "Rational" is originated from the word "ratio". So, rational numbers are very well related to the ratio concept of ratio. |
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| 4808. |
What does a negative percent error mean? |
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Answer» If the experimental value is less than the accepted value, then the percenterror is negative. The ratio ofthe absolute value of the error andthe accepted value, when multiplied by 100,is called a percent error. |
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| 4809. |
What is the solution of log2x + 68 = 3? |
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Answer» What is the solution of log2x + 68 = 3? Solution: |
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| 4810. |
How do you work out a percentage of a number? |
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Answer» The percentageof a number is the value of the number out of 100. The term "percentage" was adapted from the Latin word "per centum", which means "by the hundred". |
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| 4811. |
What is 1.2 as a Fraction? |
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Answer» 1.2 as a fraction is 6/5. Fractions represent parts of the whole. |
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| 4812. |
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank? |
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Answer» The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank? Solution: |
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| 4813. |
How can a regular hexagon be folded to show that it has reflectional symmetry? |
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Answer» If we fold the regular hexagon along the line joining any vertex to the midpoint of the other side or any two midpoints of the adjacent side or a line that bisects two vertex angles, then the regular hexagon has the reflectional symmetry. When one half of an object is exactly the same as the other half of the object, it has reflection symmetry. |
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| 4814. |
How do you convert 25 mm to cm? |
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Answer» To convert25millimeters (mm) into centimeters (m), we divide 25millimeters by 10. i.e., 25 mm = 2.5 cm. There are 10 mm in1cm. |
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| 4815. |
A single die is rolled. Find the probability of rolling an odd number or a number less than 4? |
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Answer» A single die is rolled. Find the probability of rolling an odd number or a number less than 4? Solution: |
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| 4816. |
Solve the equation:–9x + 1 = –x + 17 |
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Answer» The value of x in the equation–9x + 1 = –x + 17 is -2. An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. |
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| 4817. |
Show that the points a(2, 2), b(5, 7), c(-5, 13), and d(-8, 8) are the vertices of a rectangle. |
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Answer» Show that the points a(2, 2), b(5, 7), c(-5, 13), and d(-8, 8) are the vertices of a rectangle. Solution: |
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| 4818. |
What value of x is in the solution set of 8x -6 > 12 - 2x? -1, 0, 3, 5 |
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Answer» What value of x is in the solution set of 8x -6 > 12 - 2x? -1, 0, 3, 5 Solution: |
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| 4819. |
Give any 5 examples of cone in real life. |
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Answer» 5 examples of a cone in real life are Christmas tree, carrot, party hat, ice-cream cone, and traffic cones (used as road-dividers). A cone is a three-dimensional solid geometric figure having a circle at one end and a pointed edge at the other. |
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| 4820. |
Find a formula for the nth term of the arithmetic sequence: 32, 36, 40, 44, … |
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Answer» Find a formula for the nth term of the arithmetic sequence: 32, 36, 40, 44, … Solution: |
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| 4821. |
What is the rate of change between the interval of x = 0 and x = pi over two? |
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Answer» What is the rate of change between the interval of x = 0 and x = pi over two? Solution: |
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| 4822. |
Find the angle θ (if it exists) in the interval [0°, 90°) for which sin θ = cos θ? |
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Answer» Find the angle θ (if it exists) in the interval [0°, 90°) for which sin θ = cos θ? Solution: |
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| 4823. |
Integrate ((tanx)1/2+ (cotx)1/2)dx |
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Answer» ∫ ((tanx)1/2+ (cotx)1/2)dx = √2 sin-1(sinx - cosx) + C Integration is exactly the reverse process of differentiation. We will use trigonometric formulae to solve this integration |
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| 4824. |
Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = ___ (x +11)² +____. |
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Answer» Write g(x) = 4x²+ 88x in vertex form. The function written in vertex form is g(x) = ___ (x +11)² +____. Solution: |
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| 4825. |
Solve x2 - 16x + 60 = -12 by completing the steps. |
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Answer» Solve x2 - 16x + 60 = -12 by completing the steps. Solution: |
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| 4826. |
How can one sixth x - 5 = one fifth x + 2 be set up as a system of equations? 6y - x = -30 and5y - x = 10 5y + x = -30 and5y + x = 10 6y - 6x = -30 and5y - 5x = 10 5y + 5x = -30 and5y + 5x = 10 |
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Answer» How can one sixth x - 5 = one fifth x + 2 be set up as a system of equations? Solution: |
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| 4827. |
Find the general solution of the given differential equation. x (dy/dx) + 3y = x3 - x |
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Answer» Find the general solution of the given differential equation. x (dy/dx) + 3y = x3- x Solution: |
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| 4828. |
Find the 50th term of the sequence 5, -2, -9, -16 |
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Answer» Find the 50th term of the sequence 5 -2 -9 -16 Solution: |
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| 4829. |
Write x2- 6x + 7 = 0 in the form (x - a)2 = b, where a and b are integers. |
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Answer» Write x2 - 6x + 7 = 0 in the form (x - a)2 = b, where a and b are integers. Solution: |
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| 4830. |
Which expression is equivalent to (4 + 6i)2? -20 + 48i,8 + 12i,16 - 36i,20 + 48i |
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Answer» Which expression is equivalent to (4 + 6i)2? Solution: |
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| 4831. |
Evaluate the integral.\(\int_{0}^{2}(4ti - t^{3}j + 3t^{5}k)dt\) |
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Answer» Evaluate the integral\(\int_{0}^{2}(4ti - t^{3}j + 3t^{5}k)dt\) Solution: |
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| 4832. |
Find the vertex of the parabola whose equation is y = x2 + 8x + 12. |
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Answer» Find the vertex of the parabola whose equation is y = x2+ 8x + 12. Solution: |
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| 4833. |
Find the quotient. (2x4- 3x3- 6x2+ 11x + 8) ÷ (x - 2) |
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Answer» Find the quotient. (2x4- 3x3- 6x2+ 11x + 8) ÷ (x - 2) Solution: |
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| 4834. |
Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x4+ 26x2+ 25 |
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Answer» Find the complex zeros of the following polynomial function. Write f in factored form. Solution: |
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| 4835. |
D) Perpendicular |
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Answer» A) If two lines are parallel to the same line, then they are parallel to each other. Two or more lines that lie in the same plane and never intersect or meet each other are known as parallel lines. |
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| 4836. |
C) Opposite |
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Answer» A) If two lines are parallel to the same line, then they are parallel to each other. Two or more lines that lie in the same plane and never intersect or meet each other are known as parallel lines. |
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| 4837. |
B) Non- Parallel |
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Answer» A) If two lines are parallel to the same line, then they are parallel to each other. Two or more lines that lie in the same plane and never intersect or meet each other are known as parallel lines. |
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| 4838. |
A) Parallel |
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Answer» A) If two lines are parallel to the same line, then they are parallel to each other. Two or more lines that lie in the same plane and never intersect or meet each other are known as parallel lines. |
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| 4839. |
If two lines are parallel to the same line, then they are _____ to each other. |
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Answer» A) If two lines are parallel to the same line, then they are parallel to each other. Two or more lines that lie in the same plane and never intersect or meet each other are known as parallel lines. |
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| 4840. |
In how many ways can the letters in the word SPOON be arranged? |
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Answer» In how many ways can the letters in the word SPOON be arranged? Solution: |
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| 4841. |
Find the LCM and HCF of 510 and 92. Verify LCM and HCF is equal to the product of two numbers. |
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Answer» The LCM of 510 and 92 is 23460 and the HCF is 2. The product of the two numbers is equal to the product of their LCM and HCF, 510× 92 =23460× 2 The least common multipleof two or more numbers is the smallest number among all commonmultiplesof the given numbers. |
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| 4842. |
If f(x) = 2x2 - 30, find f(4). 35, -14, 2, 17 |
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Answer» If f(x) = 2x2 - 30, find f(4). 35, -14, 2, 17 Solution: |
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| 4843. |
What is the solution to the inequality 5.25 - b ≥ 6.5? |
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Answer» What is the solution to the inequality 5.25 - b ≥ 6.5? Solution: |
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| 4844. |
What is the measure of JHN? 25°, 45°, 50°, 95° |
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Answer» What is the measure of JHN? 25°, 45°, 50°, 95° Solution: |
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| 4845. |
At noon, ship A is 100 km west of ship B. Ship A is sailing east at 35 km/hr and ship B is sailing north at 25 km/hr. How fast is the distance between the ships changing at 4.00 p.m.? |
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Answer» At noon, ship A is 100 km west of ship B. Ship A is sailing east at 35 km/hr and ship B is sailing north at 25 km/hr. How fast is the distance between the ships changing at 4.00 p.m.? Solution: |
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| 4846. |
Which is a factor of 15xy - 45x - 6y + 18? y - 2, 5x - 3, 5x - 2, y - 6 |
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Answer» Which is a factor of 15xy - 45x - 6y + 18? y - 2, 5x - 3, 5x - 2, y - 6 Solution: |
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| 4847. |
A, B ,C, D, and E went to a restaurant. A paid 1/2 of the bill, B paid 1/5 of the bill and rest of the bill was shared equally by C, D, and E .What fraction of billwas paid by each? |
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Answer» The fraction of bill paid by C,D and E is 1 /10 each. Fraction is represented as numerical value which can be defined as the parts of a whole. |
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| 4848. |
What is the graph of the function f(x) = negative x squared minus 9 x minus 20 all over x plus 4? |
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Answer» What is the graph of the function f(x) = negative x squared minus 9 x minus 20 all over x plus 4? Solution: |
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| 4849. |
How do you prove: Sin3θ = 3Sinθ−4Sin3θ? |
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Answer» Sin3θ= 3sinθ - 4sin3θ Trigonometric functions(also calledcircular functions or angle functions) are real functions that relate an angle of a right-angled triangle to the ratio of the other two side lengths. |
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| 4850. |
Mr. Smith had 4 daughters. Each daughter had 4 brothers. How many kids does Mr. Smith have? |
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Answer» Mr. Smith had 4 daughters. Each daughter had 4 brothers. How many kids does Mr. Smith have? Solution: |
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