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.
| 5751. |
What is the distance d between points a and b, where point a (3, 4) and b (1, 2) |
|
Answer» The distance d between points Aand Bis2 √ 2 units. We will use the distance formula in order to find the distance between points a and b. |
|
| 5752. |
Explain Algebraic Expression With an Example |
|
Answer» An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. Let us see what an algebraic expression is and how to solve it. |
|
| 5753. |
What is the correct simplification of the expression 9 over h to the power of negative 3? |
|
Answer» What is the correct simplification of the expression 9 over h to the power of negative 3? Solution: |
|
| 5754. |
What is the amplitude, period, and phase shift of f(x) = -3 cos(4x + π) + 6? |
|
Answer» What is the amplitude, period, and phase shift of f(x) = -3 cos(4x + π) + 6? Solutions: |
|
| 5755. |
What is the image of G for dilation with center (0, 0) and a scale factor of 1? |
|
Answer» What is the image of G for dilation with center (0, 0) and a scale factor of 1? Solution: |
|
| 5756. |
A vendor supplies 32 liters of milk to a hotel in the morning and 68 liters of milk in the evening. If the milk costs Rs. 15 per liter, how much money is due to the vendor per day? |
|
Answer» The money due to the vendor per day is Rs. 1500 We will use the unitary method to calculate the cost of milk due to the vendor per day. |
|
| 5757. |
Read the numbers and decide what the next number should come. 8, 6, 9, 5, 10, 4, 11? |
|
Answer» 3 is the next number that should come in the series 8, 6, 9, 5, 10, 4,11, 3. A series is a set of numbers following a particular pattern. |
|
| 5758. |
How to Write a Decimal As a Fraction in Simplest Form? |
|
Answer» We can write any decimal by multiplying the numerator and denominatorwith 10x, wherex is the number of digits after the decimal. All fractions consist ofa numerator and a denominator.A decimal numbercan bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
|
| 5759. |
What is the slope of the line that passes through the pair of points? (1, 7) and (10, 1) |
|
Answer» What is the slope of the line that passes through the pair of points? (1, 7) and (10, 1) Solution: |
|
| 5760. |
Find the dimensions of a rectangle with a perimeter 60m whose area is as large as possible. |
|
Answer» Find the dimensions of a rectangle with a perimeter 60m whose area is as large as possible. Solution: |
|
| 5761. |
How Do You Evaluate 7^2? |
|
Answer» To evaluate 7^2, we need to multiply 7 with 7 and the result is 49. Here we need to solve the expression7^2, which also can be read as taking out the square of the number 7. |
|
| 5762. |
If f(x) = x4− x3+ x2and g(x) = −x2, Where x ≠ 0, What is (f/g)(x)? |
|
Answer» If f(x) = x^{4}− x^{3}+ x^{2}and g(x) = −x^{2}, then(f/g)(x) = x −x^{2}− 1 We will use the concept of functions to solve this. |
|
| 5763. |
How is the slope of a linear function related to the number of zeros for the function? |
|
Answer» How is the slope of a linear function related to the number of zeros for the function? Solution: |
|
| 5764. |
Find an equation of the tangent line to the curve at the given point. y = sec(x), (π/3, 2)? |
|
Answer» Find an equation of the tangent line to the curve at the given point. y = sec(x), (π/3, 2)? Solution: |
|
| 5765. |
Find the first six terms of the sequence. a1= -7, an= 2 • an-1 |
|
Answer» Find the first six terms of the sequence. a1= -7, an= 2 • an-1 Solution: |
|
| 5766. |
(c) On angle EOF |
| Answer» | |
| 5767. |
(b) In the exterior of angle EOF |
| Answer» | |
| 5768. |
(a) In the interior of angle DOE |
| Answer» | |
| 5769. |
In the given diagram, name the point(s): |
| Answer» | |
| 5770. |
Write a linear factorization of the function. f(x) =x4 + 36x2 |
|
Answer» Write a linear factorization of the function. f(x) = x4 + 36x2 Solution: |
|
| 5771. |
How many feet are in 1/4 of a mile? |
|
Answer» 1320 feet are there in 1/4 of a mile 'Feet' and 'Miles' are different measuring units used to measure lengths |
|
| 5772. |
How many subsets can be made from a set of six elements, including the null set and the set itself? (i) 84(ii) 64(iii) 32 |
|
Answer» How many subsets can be made from a set of six elements, including the null set and the set itself? (i) 84(ii) 64(iii) 32 Solution: |
|
| 5773. |
Identify this conic section x2 - 4x + y2 - 4y + 4 = 12. Line, circle, ellipse, parabola, hyperbola |
|
Answer» Identify this conic section x2- 4x + y2- 4y + 4 = 12. Solution: |
|
| 5774. |
What is the value of x in the equation 0.2(x + 1) + 0.5x = -0.3(x - 4)? |
|
Answer» What is the value of x in the equation 0.2(x + 1) + 0.5x = -0.3(x - 4)? Solution: |
|
| 5775. |
Find the x- and y-intercept of the line. -3x + 9y = 18 |
|
Answer» Find the x- and y-intercept of the line. -3x + 9y = 18 Solution: |
|
| 5776. |
State the explicit form of the pattern: 4, 9, 14, 19, … |
|
Answer» State the explicit form of the pattern: 4, 9, 14, 19, … Solution: |
|
| 5777. |
What does it mean to say that limn → ∞ an = 8? The terms an approach infinity as 8 approaches n. The terms an approach 8 as n becomes small. The terms anapproach 8 as n becomes large. The terms an approach infinity as n become large. The terms an approach -infinity as 8 approaches n. |
|
Answer» What does it mean to say that limn → ∞ an = 8? Solution: |
|
| 5778. |
(f) One complete revolution |
|
Answer» When two lines intersect at a point, the measure of the “opening” between these two lines is called an “Angle” |
|
| 5779. |
(v) Reflex angle (e) between the end of a revolution |
|
Answer» When two lines intersect at a point, the measure of the “opening” between these two lines is called an “Angle” |
|
| 5780. |
(iv) Obtuse angle (d) one-fourth a revolution |
|
Answer» When two lines intersect at a point, the measure of the “opening” between these two lines is called an “Angle” |
|
| 5781. |
(iii) Acute angle (c) half of a revolution |
|
Answer» When two lines intersect at a point, the measure of the “opening” between these two lines is called an “Angle” |
|
| 5782. |
(ii) Right angle (b) more than half a revolution |
|
Answer» When two lines intersect at a point, the measure of the “opening” between these two lines is called an “Angle” |
|
| 5783. |
(i) Straight angle (a) less than one-fourth a revolution |
|
Answer» When two lines intersect at a point, the measure of the “opening” between these two lines is called an “Angle” |
|
| 5784. |
How do you divide a fraction by a whole number? |
|
Answer» We candivide fractionsby a whole numberby multiplying the fraction with the reciprocal of the whole number. Dividing fractions with whole numbers is quite common in mathematics. |
|
| 5785. |
Solve x2 - 7x + 12 = 0 x = -3, x = - 4 x = 3, x = 4 x = 2, x = 6 x = -2, x = -6 |
|
Answer» Solve x2 - 7x + 12 = 0 Solution: |
|
| 5786. |
Lines b and c are parallel. What is the measure of 6? a) m6 = 45° b) m6 = 54° c) m6 = 117° d) m6 = 126° |
|
Answer» The measure of angle 6 for the given diagram is option (b) m6 = 54°.
|
|
| 5787. |
What is 0.9 as a fraction? |
|
Answer» 0.9 as a fraction is written as 9/10 A fraction can be a portionor section of any quantity out of a whole. |
|
| 5788. |
Find the arc length function for the curve y = 2x3/2with starting point P(9, 54). |
|
Answer» Find the arc length function for the curve y = 2x3/2with starting point P(9, 54). Solution: |
|
| 5789. |
The sum of two consecutive odd numbers is always divisible by 4. Verify this statement with the help of some examples. |
|
Answer» This is statement is true and justified using the examples shown below. Odd numbers are the numbers that are not the multiples of 2. |
|
| 5790. |
What is 0.5 as a Fraction? |
|
Answer» 0.5 as a fraction is equal to 1/2 Fractions are used in maths to depict parts of the whole. |
|
| 5791. |
Insert commas suitably and write the names according to the Indian system of numeration: (a) 87595762 (b) 8546283 (c) 99900046 (d) 98432701 |
|
Answer» (a) 8,75,95,762: Eight crores seventy-five lakh ninety-five thousand seven hundred and sixty-two The Indian numeral system (or the system of numeration) is a writing system adapted in India for expressing numbers. |
|
| 5792. |
What is 4 to the power of 1? |
|
Answer» 4 to the power of 1 is 4. The powerof any number represents how many times we should use the number in multiplication. |
|
| 5793. |
When 92/3 is written in the simplest radical form, which value remains under the radical? |
|
Answer» When 92/3is written in the simplest radical form, which value remains under the radical? Solution: |
|
| 5794. |
Which of the following quadrilaterals are classified as types of parallelograms? 1) Square 2) Kite 3) Rhombus 4) Rectangle |
|
Answer» Which of the following quadrilaterals are classified as types of parallelograms? 1) Square 2) Kite 3) Rhombus 4) Rectangle Solution: |
|
| 5795. |
What is 1/3of 50? |
|
Answer» 1/3of 50is equal to 50/3 or 16⅔ Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
|
| 5796. |
Use the intermediate value theorem to show that there is a root of the equation x5- 2x4- x - 3 = 0 in the interval (2,3). |
|
Answer» Use the intermediate value theorem to show that there is a root of the equation x5- 2x4- x - 3 = 0 in the interval (2,3). Solution: |
|
| 5797. |
What is 15degrees Celsius in Fahrenheit? |
|
Answer» 15°Celsiusis equal to 59°Fahrenheit. The two different types of units or scales to measure temperature are Celsius and Fahrenheit. |
|
| 5798. |
The polynomial 3x2 - 10x + 8 has a factor of 3x - 4. What is the other factor of 3x2 - 10x + 8? |
|
Answer» The polynomial 3x2 - 10x + 8 has a factor of 3x - 4. What is the other factor of 3x2 - 10x + 8? Solution: |
|
| 5799. |
If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples. |
|
Answer» This is statement is true and justified using the examples shown below. Natural numbers refer to a set of positive integers and on the other hand, natural numbers along with zero (0) form a set, referred to as whole numbers. |
|
| 5800. |
What is 1/4ofan hour? |
|
Answer» 1/4th of an hour is 15 minutes. We know that there are 60 minutes in an hour. |
|
