Saved Bookmarks
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.
| 3701. |
Which angle rotational symmetry does the regular nonagon has? Check all that apply. |
|
Answer» The degree of rotation for a Nonagon is 40º. A nonagon is a nine-sided polygon.A regular nonagonhas 9sides and 9angles of the same measure, |
|
| 3702. |
What is the remainder when (3x3-2x2 + 4x -3) is divided by (x2 + 3x + 3)? |
|
Answer» What is the remainder when (3x3-2x2+ 4x -3) is divided by (x2+ 3x + 3)? Solution: |
|
| 3703. |
Find the length of an arc of a circle with radius 12cm if the arc subtends a central angle of 30°. |
|
Answer» Find the length of an arc of a circle with radius 12cm if the arc subtends a central angle of 30°. Solution: |
|
| 3704. |
Find the remainder when f(x) is divided by (x - k); f(x) = 3x4 + 11x3 + 2x2 - 7x + 61; k = 3. |
|
Answer» Find the remainder when f(x) is divided by (x - k); f(x) = 3x4+ 11x3+ 2x2- 7x + 61; k = 3. Solution: |
|
| 3705. |
If the circumcenter of a triangle lies on the triangle then what type of triangle is it? |
|
Answer» If the circumcenter of a triangle lies on the triangle then what type of triangle is it? Solution: |
|
| 3706. |
What is 5/6 + 1/3 as a fraction? |
|
Answer» 5/6+ 1/3can be represented as 7/6as a fraction after addition. Fractions are a very important topicin mathematics. They form an integral part of algebra. All the fundamental operations that can be performed over integers can be performed over fractions as well. Now let's solve a problem related to fractions. |
|
| 3707. |
What is the solution to the linear equation -12 + 3b -1 = -5 - b? b = -2,b = -1.5,b = 1.5,b = 2 |
|
Answer» What is the solution to the linear equation -12 + 3b -1 = -5 - b? Solution: |
|
| 3708. |
What is the discriminant of the quadratic equation 2x + 5x2 = 1? -18,-16,22,24 |
|
Answer» What is the discriminant of the quadratic equation 2x + 5x2= 1? Solution: |
|
| 3709. |
If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true. |
|
Answer» If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true. Solution: |
|
| 3710. |
What is the y-intercept of the quadratic function f(x) = (x - 6)(x - 2)? (0,-6); (0,12); (-8,0); (2,0) |
|
Answer» What is the y-intercept of the quadratic function f(x) = (x - 6)(x - 2)? (0,-6); (0,12); (-8,0); (2,0) Solution: |
|
| 3711. |
How to find the interval where a function is increasing or decreasing? |
|
Answer» Depending upon the value of the derivative of the function, a function with a positive value of the derivative is increasing and vice versa. The derivability of a function is nothing but the slope of the function at each point on the graph. |
|
| 3712. |
What is the expression in factored form? x2 + 14x + 48 |
|
Answer» What is the expression in factored form? x2+ 14x + 48 Solution: |
|
| 3713. |
How much is the life insurance premium for a 30-year-old male, $320,000 straight life policy? |
|
Answer» How much is the life insurance premium for a 30-year-old male, $320,000 straight life policy? Annual Premium per $1000 |
|
| 3714. |
Give a recursive definition of sequence an = 2n, n = 2, 3, 4... where a1 = 2. |
|
Answer» Give a recursive definition of sequence an= 2n, n = 2, 3, 4... where a1= 2. Solution: |
|
| 3715. |
Express the area A of a circle as a function of its (a) radius r (b) diameter d (c) circumference C. |
|
Answer» Express the area A of a circle as a function of its (a) radius r (b) diameter d (c) circumference C. Solution: |
|
| 3716. |
What is the sum of the geometric sequence -3, 18, -108, ... if there are 7 terms? |
|
Answer» What is the sum of the geometric sequence -3, 18, -108, ... if there are 7 terms? Solution: |
|
| 3717. |
Factor the polynomial 4x4 - 20x2 - 3x2 + 15 by grouping. What is the resulting expression? (4x2 + 3)(x2 - 5) (4x2- 3)(x2 - 5) (4x2- 5)(x2+ 3) (4x2+ 5)(x2- 3) |
|
Answer» Factor the polynomial 4x4 - 20x2 - 3x2 + 15 by grouping. What is the resulting expression? Solution: |
|
| 3718. |
Explain the process of finding the orthocentre of a triangle and also mention the formula. |
|
Answer» Let's understand the process of finding the orthocentre of a triangle and its formula. The orthocentre of a triangle is defined as the point of intersection of all the three altitudes of a triangle. |
|
| 3719. |
At what point does the curve have maximum curvature? y = 7 Inx |
|
Answer» At what point does the curve have maximum curvature? y = 7 Inx Solution: |
|
| 3720. |
Using the quadratic formula to solve 4x2 - 3x + 9 = 2x + 1, what are the values of x? |
|
Answer» Using the quadratic formula to solve 4x2- 3x + 9 = 2x + 1, what are the values of x? Solution: |
|
| 3721. |
Find an equation of the tangent line to the curve at the given point y = x3-2x + 2at (2, 4)? |
|
Answer» Find an equation of the tangent line to the curve at the given point y = x3-2x + 2at(2, 4)? Solution: |
|
| 3722. |
Given the geometric sequence where a1 = 3 and the common ratio is −1, what is the domain for n? |
|
Answer» Given the geometric sequence where a1 = 3 and the common ratio is −1, what is the domain for n? Solution: |
|
| 3723. |
If √10 = 3.162 then find the value of 1 / √10 |
|
Answer» The value of1/√10 comes out to be 0.3162. Square root terms in the denominator can easily be rationalized to find the value. |
|
| 3724. |
Find the sum of the2i - 9 from i = 3 to10. |
|
Answer» Find the sum of the2i - 9 fromi = 3 to10. Solution: |
|
| 3725. |
What is the vertex of the graph of y + 2x + 3 = -(x + 2)2 + 1? (-3,-33); (-3,3); (3,-24); (3,21) |
|
Answer» What is the vertex of the graph of y + 2x + 3 = -(x + 2)2 + 1? (-3,-33); (-3,3); (3,-24); (3,21) Solution: |
|
| 3726. |
How do you find the equation of the line through point (-6, -1) perpendicular to line 5x − 3y = 2? |
|
Answer» The equation of the line through point (-6, -1) perpendicular to line 5x - 3y = 2 is 3x + 5y + 23 = 0. Straight lines are a very important concept related to mathematics and have immense applications in the field of geometry. The straight lines form the backbone of different polygons and polyhedrons. They can be represented in the cartesian plane by using linear equations. Let's solve a question related to straight lines. |
|
| 3727. |
If the net price of a stove is $900 and the trade discount rate is 40 percent, the list price is: $3,600, $2,250, $1,500, $1,260, $1,440 |
|
Answer» If the net price of a stove is $900 and the trade discount rate is 40 percent, the list price is: $3,600, $2,250, $1,500, $1,260, $1,440 Solution: |
|
| 3728. |
(a) 21 (b) 31 (c) 53 (d) 61 |
|
Answer» The numbers expressed as the sum of three odd primes are as follows: (a) 3+ 7+ 11 (b) 3 + 11 + 17 (c) 13 + 17 + 23 (d) 19 + 29 + 13 Prime numbers are the numbers that have only two factors, that are, 1 and the number itself |
|
| 3729. |
Express each of the following numbers as the sum of three odd primes: |
|
Answer» The numbers expressed as the sum of three odd primes are as follows: (a) 3+ 7+ 11 (b) 3 + 11 + 17 (c) 13 + 17 + 23 (d) 19 + 29 + 13 Prime numbers are the numbers that have only two factors, that are, 1 and the number itself |
|
| 3730. |
The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm and side c measures 26.1 cm? 8.7 + b = 54.6 17.4 + b = 54.6 26.1 + b = 54.6 34.8 + b = 54.6 |
|
Answer» The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm and side c measures 26.1 cm? Solution: |
|
| 3731. |
The random variable x is known to be uniformly distributed between 70 and 90. The probability of x having a value between 80 to 95 is? |
|
Answer» The random variable x is known to be uniformly distributed between 70 and 90. The probability of x having a value between 80 to 95 is? Solution; |
|
| 3732. |
If an object moves 40 m north, 40 m west, 40 m south, and 40 m east, what's the total displacement? 40 m, 0 m, 80 m, 160 m |
|
Answer» If an object moves 40 m north, 40 m west, 40 m south, and 40 m east, what's the total displacement? 40 m, 0 m, 80 m, 160 m Solution: |
|
| 3733. |
Sum of two numbers is 36. One number is 3 times the other number. What are the numbers? |
|
Answer» Sum of two numbers is 36. One number is 3 times the other number. What are the numbers? Solution: |
|
| 3734. |
If (-1, y) lies on the graph of y = 3x + 1, then what is y? |
|
Answer» If (-1, y) lies on the graph of y = 3x + 1, then what is y? Solution: |
|
| 3735. |
Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished? |
|
Answer» Kanchan finishes dyeing 20 out of 30 dresses which is2/3 of her dresses Fractions are represented as numerical values whichcan be defined asparts of a whole |
|
| 3736. |
(a)24 = 2 × 3 × 4 (b)56 = 7 × 2 × 2 × 2 (c)70 = 2 × 5 × 7 (d)54 = 2 ×3 × 9 |
|
Answer» Prime factorization has been done for (b)56 = 7 × 2 × 2 × 2 (c)70 = 2 × 5 × 7 Prime factorizationis a way of expressing a number as a product of its prime factors |
|
| 3737. |
In which of the following expressions prime factorization has been done: |
|
Answer» Prime factorization has been done for (b)56 = 7 × 2 × 2 × 2 (c)70 = 2 × 5 × 7 Prime factorizationis a way of expressing a number as a product of its prime factors |
|
| 3738. |
Simplify the expression a2⋅a3 |
|
Answer» Simplify the expression a2⋅a3 Solution: |
|
| 3739. |
Write the converse of this statement. if 2 's are supplementary, then they are not equal. Converse: |
|
Answer» Write the converse of this statement. if 2 's are supplementary, then they are not equal. Converse: Solution: |
|
| 3740. |
Solve 7x - 2y = -3 and 14x + y = 14 |
|
Answer» Solve 7x - 2y = -3 and 14x + y = 14 Solution: |
|
| 3741. |
If (-3, y) lies on the graph of y = 3x, then what is y? |
|
Answer» If (-3, y) lies on the graph of y = 3x, then what is y? Solution: |
|
| 3742. |
Express 0.29 as a fraction in the simplest form. |
|
Answer» The simplest form of fraction for 0.29is 29/100. Fractions are the numbers that are in the form of p/q where p and q are integers. |
|
| 3743. |
How many license plates can be made consisting of 3 letters followed by 2 digits? |
|
Answer» How many license plates can be made consisting of 3 letters followed by 2 digits? Solution: |
|
| 3744. |
Simplify the difference. (3w2 - 5w - 6) - (6w2 + 4w - 2). |
|
Answer» Simplify the difference. (3w2 - 5w - 6) - (6w2 + 4w - 2). Solution: |
|
| 3745. |
What is .06 as aFraction? |
|
Answer» .06 as a fraction is equal to 3/50. The digits following the decimal point or after the decimal point show a value smaller than one. |
|
| 3746. |
Use this equation to find dy/dx. 6y cos (x) = x2 + y2 |
|
Answer» The differential of the equation 6y cos (x) = x2 + y2, with respect to xis dy/dx = (6ysin x + 2x) / (6cos x - 2y). We can make use of uv method of differentiationto solve the given question. |
|
| 3747. |
What is the value of "c" in the quadratic equation 3x2 + 5x + 7 = 0? |
|
Answer» What is the value of "c" in the quadratic equation 3x2+ 5x + 7 = 0? Solution: |
|
| 3748. |
The shirt you want to buy is 15% off from $32.50. How much will your shirt be? |
|
Answer» The shirt you want to buy is 15% off from $32.50. How much will your shirt be? Solution: |
|
| 3749. |
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB? |
|
Answer» Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB? Solution: |
|
| 3750. |
Which of the following statements is true for the following data set? 7, 5, 6, 4, 7, 8, 12(i) Only the mean and median are equal.(ii) Only the mean and mode are equal.(iii) Only the median and mode are equal.(iv) The mean, median, and mode are all equal. |
|
Answer» Which of the following statements is true for the following data set? 7, 5, 6, 4, 7, 8, 12(i) Only the mean and median are equal.(ii) Only the mean and mode are equal.(iii) Only the median and mode are equal.(iv) The mean, median, and mode are all equal. Solution: |
|