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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.
| 6751. |
BFC, CFG, GFD, EFA |
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Answer» In the diagram, which angle is part of a linear pair and part of a vertical pair? Solution: |
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| 6752. |
In the diagram, which angle is part of a linear pair and part of a vertical pair? |
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Answer» In the diagram, which angle is part of a linear pair and part of a vertical pair? Solution: |
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| 6753. |
The tangent of an angle is 0.8. What is the measure of the angle to the nearest tenth? |
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Answer» The tangent of an angle is 0.8. What is the measure of the angle to the nearest tenth? Solution: |
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| 6754. |
Find dy/dx. x = ∛t, y = 4 - t |
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Answer» Find dy/dx. x = ∛t, y = 4 - t Solution: |
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| 6755. |
What method can be used to write the equation of a line in slope-intercept form given two points? |
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Answer» What method can be used to write the equation of a line in slope-intercept form given two points? Solution: |
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| 6756. |
Evaluate cos 60° × cos 30° + sin 60° × sin 30° |
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Answer» cos 60° × cos 30° + sin 60° × sin 30° =√3/2 We can evaluate this expression using the trigonometric table. |
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| 6757. |
Solve the Differential Equation by Variation of Parameters:y'' − 4y = 4xe2x |
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Answer» The general solution of differential equationy'' − 4y = 4xe2xisy =c\(_1\)e2x+ c\(_2\)e-2x+ (x2/2)e2x- 4xe2x+ 16e2x We will be solving this by finding thehomogeneous andcomplementary solutions of the equation. |
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| 6758. |
What is the effective annual rate of 10 percent compounded semiannually? |
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Answer» Theeffective annual rate of 10 percent compounded semiannually will be10.25%. Compounded semiannually means that the rate of interest is charged every 6 months which makes it half a year. |
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| 6759. |
You jogged 11 kilometers at an average speed of 10 kilometers per hour. How long did you jog? |
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Answer» You jogged 11 kilometers at an average speed of 10 kilometers per hour. How long did you jog? Solution: |
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| 6760. |
List five rational numbers between: (1.) -1 and 0 (2.) -2 and -1 (3.) -4/5 and -2/3 (4.) -1/2 and 2/3 |
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Answer» Five rational numbers between each pair of given rational numbers are(1) -1/6, -2/6, -3/6, -4/6, -5/6 (2) -7/6, -8/6, -9/6, -10/6, -11/6 (3)-31/45, -32/45,-11/15,-34/45,-7/9 (4)-11/36, -1/9, 1/12, 5/18, 17/36 Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0 |
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| 6761. |
Calculate the value tan 9° - tan 27°- tan 63° + tan 81° |
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Answer» The value tan 9° - tan 27°- tan 63° + tan 81° is 4. The trigonometric functions are defined as the functions of an angle of a triangle which is also known as circular functions. The trigonometric functions give the relationship between the angles and sides of a triangle. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. |
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| 6762. |
What is the value of x in the equation 7x + 2y = 48 , when y = 3? |
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Answer» What is the value of x in the equation 7x + 2y = 48 , when y = 3? Solution: |
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| 6763. |
What is 2 raised to the power of 100? |
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Answer» 2 raised to the power of 100 is1.2676506002 × 1030 Exponent of a number shows how many times we are multiplying a number by itself. |
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| 6764. |
What are the possible rational zeros of f(x) = x4 + 6x3 - 3x2 + 17x - 15? |
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Answer» What are the possible rational zeros of f(x) = x4 + 6x3 - 3x2 + 17x - 15? Solution: |
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| 6765. |
Find a polar equation for the curve represented by the given cartesian equation x + y = 1 |
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Answer» Find a polar equation for the curve represented by the given cartesian equation x + y = 1 Solution: |
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| 6766. |
If all of the diagonals are drawn from a vertex of an n-gon, how many triangles are formed? n - 2 n - 1 n n + 1 |
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Answer» If all of the diagonals are drawn from a vertex of an n-gon, how many triangles are formed? Solution: |
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| 6767. |
In a booster club, 1/8 of the 128 members are men. How many male members are in the club? |
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Answer» In a booster club, 1/8 of the 128 members are men. How many male members are in the club? Solution: |
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| 6768. |
The age of Rahul and Haroon are in the ratio 5:7. Four years later the sum of ages will be 56 years. What are their present ages? |
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Answer» The present ages of Rahul and Haroon are 20 years and 28 years respectively. The given question can be simplified using the linear equations in one variable and the concept of ratios. |
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| 6769. |
What is a negative number to the power of 2? |
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Answer» The negative number to the power 2 is always a positive number. We will be looking at the concept of exponents in this section. Exponents are very important concepts in mathematics that are used to make calculations convenient. |
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| 6770. |
How could you check the answer to 27 – 15 = 12 using addition? |
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Answer» To check the answer we will add 12 + 15 to get 27. Subtraction and addition are inverse arithmeticoperations. |
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| 6771. |
Find the exact length of the polar curve. r = e5θ, 0 ≤ θ ≤ 2π |
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Answer» Find the exact length of the polar curve. r = e5θ, 0 ≤ θ ≤ 2π Solution: |
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| 6772. |
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side? |
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Answer» An equilateral triangle has a perimeter of 15x3+ 33x5feet. What is the length of each side? Solution: |
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| 6773. |
Describe Third Degree Polynomial |
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Answer» The third-degree polynomial is a polynomial in which the degree of the highest term is 3 An expression that has more than two algebraic terms is called a polynomial. Let us see what is a third-degree polynomial. |
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| 6774. |
The number which best completes the sequence below is: 2 9 5 13 10 19 17? |
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Answer» The number which best completes the sequence below is: 2 9 5 13 10 19 17? Solution: |
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| 6775. |
If P(A) = 0.62, P(B) = 0.47, and P(A or B) = 0.88, then P(A and B) = _____. |
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Answer» If P(A) = 0.62, P(B) = 0.47, and P(A or B) = 0.88, then P(A and B) = _____. Solution: |
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| 6776. |
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x - 12? |
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Answer» What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x - 12? Solution: |
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| 6777. |
Find a polar equation for the curve represented by the given cartesian equation. x + y = 4 |
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Answer» Find a polar equation for the curve represented by the given cartesian equation. x + y = 4 Solution: |
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| 6778. |
What is the difference between an expression and an equation? |
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Answer» Expression is a random combination of numbers, while an equation has two different expressions connected to each other An equation is a mathematical statement with an 'equal to'symbol between two algebraic expressions that have equal values |
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| 6779. |
The slope of a line is m. What is the slope of a line perpendicular to this line? |
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Answer» -1 / m is the slope of a line perpendicular to a line with a slope of m. We will use the concept of straight lines in order to find the slope of another perpendicular line. |
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| 6780. |
Find the value of 8.3 × 24.2 × 0.03. Round your answer to the nearest hundredth. |
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Answer» Find the value of 8.3 × 24.2 × 0.03. Round your answer to the nearest hundredth. Solution: |
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| 6781. |
Express 2 divided by 7as a fraction. |
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Answer» The value of 2divided by 7as a fraction is 2 / 7. To writea fraction in its simplest form meansthe numeratorand denominator can no longer be divided by the same whole number exactly or evenly. |
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| 6782. |
Simplify (3a4 - 2a2 + 5a - 10) - (2a4 + 4a2 + 5a - 2). |
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Answer» Simplify (3a4 - 2a2 + 5a - 10) - (2a4 + 4a2 + 5a - 2). Solution: |
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| 6783. |
Construct a parallelogram whose diagonal is 5.4 cm and 6.2 and an angle between them is 70. |
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Answer» The construction of theparallelogram is given below. A parallelogram is a type of quadrilateral in which the opposite sides are parallel and equal. |
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| 6784. |
If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.24; then p(a ∪ b) = |
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Answer» If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.24; then p(a ∪ b) = Solution: |
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| 6785. |
What is the difference between relative frequency and cumulative frequency? |
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Answer» Relative frequency represents the ratio of the number of times a value of the data occurs in a dataset, while cumulative frequency represents the sum of the relative frequencies. We can make use of the charts anddiagrams to see the difference in the tabulation of the two values. |
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| 6786. |
The traffic lights at three different road crossings change after every 48 seconds, 72 seconds, and 108 seconds respectively. If they change simultaneously at 7 a.m. at what time will they change simultaneously again? |
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Answer» The three lights will change simultaneously again at 7 hours 7 minutes 12 seconds in the morning, i.e., at 07:07:12 a.m. Explanation: |
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| 6787. |
Given a(n) = a + b(n - 1), find the value of a and b for the arithmetic sequence 3, 5, 7, 9, …? |
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Answer» The value of a and b for the arithmetic sequence 3, 5, 7, 9, … are 3 and 2 respectively. To find the value of a and b of a given arithmeticsequence, we will use the equation for the nth term of anarithmetic progression. |
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| 6788. |
Given the equation p = 2w + 2l, solve for w. |
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Answer» Given the equation p = 2w + 2l, solve for w. Solution: |
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| 6789. |
What does rounding off mean in a number system? |
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Answer» In the number system, rounding off meansthe process of making a number simpler such that its value remains close to what it was. Rounding Numbers are used to ease the calculation by adjusting the digits. |
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| 6790. |
Find the arc length function for the curve y = 2x3/2with starting point P(1, 2). |
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Answer» Find the arc length function for the curve y = 2x3/2with starting point P(1, 2). Solution: |
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| 6791. |
What are the first three terms of a geometric sequence in which the first term is 4 common ratio is 5? |
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Answer» What are the first three terms of a geometric sequence in which the first term is 4 common ratio is 5? Solution: |
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| 6792. |
Today the price of a jeep is $25,000. In 1970 the price was $5,000. What is the price relative? |
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Answer» Today the price of a jeep is $25,000. In 1970 the price was $5,000. What is the price relative? Solution: |
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| 6793. |
What are the zeros of f (x) = x2− x − 2? |
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Answer» The zeros of the function f (x) =x2− x − 2 are x =2andx= - 1. Zeros are the roots of a quadratic equation. |
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| 6794. |
Find the equation for a circle given center at (-1,-2) & passes through the point (15,-2)? |
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Answer» Find the equation for a circle given center at (-1,-2) & passes through the point (15,-2)? Solution: |
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| 6795. |
Any number to the power of 1 is? |
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Answer» Any number to the power of 1 is the number itself. Therules of exponents state that the exponent of a number represents how many times we domultiplicationof a number by itself. |
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| 6796. |
In Indian rupees, 1 trillion is equal to how many crores? |
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Answer» In Indian rupees, 1 trillion is equal to 1 lakh crores. Trillion refers to a number in the International Number System whereas Crore is referred to a number in the Indian Number System. |
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| 6797. |
Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y - 4 = 0. |
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Answer» Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y - 4 = 0. Solution: |
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| 6798. |
How to express 2 to the power of 1? |
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Answer» 2to the power of 1can be expressed as 21= 2. Powers or exponents are defined as the total number of times we use a number in amultiplication.For example 2 to the power 3 means 2 is multiplied 3 times. |
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| 6799. |
A bus decreases its speed from 80 kilometers per hour to 60 km per hour in 5 seconds, find the acceleration of the bus. |
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Answer» Theaccelerationof thebus is -1.12m/s2 Speed is defined as the rate at which an object covers a distance. |
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| 6800. |
Find the HCF of 1008 and 1080 by prime factorization. |
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Answer» HCF of 1008 and 1080 by prime factorization is 72 The largest possible number which divides the given numbers exactly without leaving any remainder is called theHCF (Highest Common Factor). |
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