25365 + Interview Questions in Mathematics Page 145 InterviewSolution

7201.	Question 3(iv)Find the products:x×x2×x3×x4
Answer» Question 3(iv) Find the products: $x \times x^{2} \times x^{3} \times x^{4}$

Discussion

7202.	Question 89 (iii)Factorise the following, using the identity, a2+2ab+b2=(a+b)2x2+14x+49
Answer» Question 89 (iii) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $x^{2} + 14 x + 49$

Discussion

7203.	If x represents a natural number, then the expression representing any square number is .
Answer» If x represents a natural number, then the expression representing any square number is .

Discussion

7204.	Question 86How many faces, edges and vertices does a pyramid have with n sided polygon as its base?
Answer» Question 86 How many faces, edges and vertices does a pyramid have with n sided polygon as its base?

Discussion

7205.	Question 68(i)Find the SP, ifMP = Rs. 5450 and discount = 5%
Answer» Question 68(i) Find the SP, if MP = Rs. 5450 and discount = 5%

7205.

Question 68(i)Find the SP, ifMP = Rs. 5450 and discount = 5%

Answer»

Question 68(i)

Find the SP, if

MP = Rs. 5450 and discount = 5%

Discussion

7206.	A number ends with 'n' zeroes. How many zero(s) will we get if we square the the number?
Answer» A number ends with 'n' zeroes. How many zero(s) will we get if we square the the number?

Discussion

7207.	If y=1-x1!+x22!-x33!+x44!-x55!+...., then dydx= ________________________.
Answer» $If y = 1 - \frac{x}{1!} + \frac{x^{2}}{2!} - \frac{x^{3}}{3!} + \frac{x^{4}}{4!} - \frac{x^{5}}{5!} + . . . ., then \frac{dy}{dx} =________________________.$

Discussion

7208.	Express 3600 as a product of powers of their prime factors.
Answer» Express 3600 as a product of powers of their prime factors.

Discussion

7209.	The page numbers of a book written in a row gives a 216 digit number. How many pages are there in the book?
Answer» The page numbers of a book written in a row gives a 216 digit number. How many pages are there in the book?

Discussion

7210.	Prove that (a-1 + b-1)-1 = ab/a+b
Answer» Prove that (a^-1 + b^-1)^-1 = ab/a+b

7210.

Prove that (a-1 + b-1)-1 = ab/a+b

Answer»

Prove that

(a^-1 + b^-1)^-1 = ab/a+b

Discussion

7211.	A shopkeeper makes a profit of Rs. 46 in a day by selling gel pens. He notices that the profit made by him is 5 less than thrice the number of gel pens sold by him. If he sells 'p' number of gel pens in a day then the correct equation for profit is
Answer» A shopkeeper makes a profit of Rs. 46 in a day by selling gel pens. He notices that the profit made by him is 5 less than thrice the number of gel pens sold by him. If he sells ' $p$ ' number of gel pens in a day then the correct equation for profit is

Discussion

7212.	A polygon which has all the interior angles of same measure is a/an polygon.
Answer» A polygon which has all the interior angles of same measure is a/an polygon.

Discussion

7213.	(4+√3)× ________ results in a rational number.
Answer» $(4 + \sqrt{3}) \times$ ________ results in a rational number.

Discussion

7214.	In the following figure ABCD is a trapezium in which AB∥DC. Find the measure of ∠C.
Answer» In the following figure ABCD is a trapezium in which $A B ∥ D C$ . Find the measure of $∠ C$ .

Discussion

7215.	Question 48(i) Complete the given tables and draw a graph for each. x0123y=3x+114−−
Answer» Question 48(i) Complete the given tables and draw a graph for each. $\begin{matrix} x & 0 & 1 & 2 & 3 y = 3 x + 1 & 1 & 4 & - & - \end{matrix}$

Discussion

7216.	Question 25An irreducible factor of 24x2y2 is(a) x2(b) y2(c) x(d) 24x
Answer» Question 25 An irreducible factor of $24 x^{2} y^{2}$ is (a) $x^{2}$ (b) $y^{2}$ (c) $x$ (d) $24 x$

Discussion

7217.	24. Two angles of a triangle are (x+40),(x-20) and (1/2x-10). Find the value of x.
Answer» 24. Two angles of a triangle are (x+40),(x-20) and (1/2x-10). Find the value of x.

Discussion

7218.	Question 109(ii) A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ? If 45 people like tea, how many people were surveyed ?
Answer» Question 109(ii) A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ? If 45 people like tea, how many people were surveyed ?

7218.

Question 109(ii) A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ? If 45 people like tea, how many people were surveyed ?

Answer»

Question 109(ii)

A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ?

If 45 people like tea, how many people were surveyed ?

Discussion

7219.	Two identical cubes each of total surface area of 6 cm2 are joined end to end. Which of the following is the total surface area of the cuboid so formed?
Answer» Two identical cubes each of total surface area of $6 c m^{2}$ are joined end to end. Which of the following is the total surface area of the cuboid so formed?

Discussion

7220.	Rahul was folding margined application form of the exam to put it in an envelope. He folded it in such a way that the top margin coincided with the bottom one like in the figure. It is because both the margins are ________.
Answer» Rahul was folding margined application form of the exam to put it in an envelope. He folded it in such a way that the top margin coincided with the bottom one like in the figure. It is because both the margins are ________.

7220.

Rahul was folding margined application form of the exam to put it in an envelope. He folded it in such a way that the top margin coincided with the bottom one like in the figure. It is because both the margins are ________.

Answer»

Rahul was folding margined application form of the exam to put it in an envelope. He folded it in such a way that the top margin coincided with the bottom one like in the figure.

It is because both the margins are ________.

Discussion

7221.	Ten years from now Jane will be 18 years old. What is her present age?
Answer» Ten years from now Jane will be 18 years old. What is her present age?

Discussion

7222.	Byju's father is 26 years younger than by chunks grandfather in 29 years older than bathrooms the sum of the ages of all the three is 135 years what is the age of each one of them
Answer» Byju's father is 26 years younger than by chunks grandfather in 29 years older than bathrooms the sum of the ages of all the three is 135 years what is the age of each one of them

Discussion

7223.	Question 105(iv)Verify the property x + y = y + x of rational number by takingx=−25 and y=−910
Answer» Question 105(iv) Verify the property x + y = y + x of rational number by taking $x = \frac{- 2}{5}$ and $y = \frac{- 9}{10}$

Discussion

7224.	The volume of a cube is 729cm3. Find its surface area.
Answer» The volume of a cube is $729 c m^{3}$ . Find its surface area.

Discussion

7225.	Cartesian plane is represented by _____.
Answer» Cartesian plane is represented by _____.

Discussion

7226.	If A and B are two events, then the probability of occurrence of A only is equal to _____________.
Answer» If A and B are two events, then the probability of occurrence of A only is equal to _____________.

Discussion

7227.	Which of the following addition or subtraction of irrational numbers will not result into an irrational number.
Answer» Which of the following addition or subtraction of irrational numbers will not result into an irrational number.

Discussion

7228.	The cost of an article is ₹ 15500 and ₹ 450 is spent on its repair. If the article is sold at a profit of 15 %, then what is the selling price?
Answer» The cost of an article is ₹ 15500 and ₹ 450 is spent on its repair. If the article is sold at a profit of 15 %, then what is the selling price?

Discussion

7229.	Question 144(i)Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.NameDistance covered (in km)Seema125Nancy132Megha140Soni120How farther did Soni hop than Nancy?
Answer» Question 144(i) Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each. $\begin{matrix} Name & Distance covered (in km) Seema & \frac{1}{25} Nancy & \frac{1}{32} Megha & \frac{1}{40} Soni & \frac{1}{20} \end{matrix}$ How farther did Soni hop than Nancy?

Discussion

7230.	On one day a rickshaw puller earned Rs 160. Out of his earnings he spent Rs 2635 on tea and snacks, Rs 5012 on food and Rs 1625 on repairs of the rickshaw. How much did he save on that day?
Answer» On one day a rickshaw puller earned Rs 160. Out of his earnings he spent Rs $26 \frac{3}{5}$ on tea and snacks, Rs $50 \frac{1}{2}$ on food and Rs $16 \frac{2}{5}$ on repairs of the rickshaw. How much did he save on that day?

Discussion

7231.	The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find: i) Its volume ii) Its total surface area.
Answer» The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find: i) Its volume ii) Its total surface area.

7231.

The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find: i) Its volume ii) Its total surface area.

Answer»

The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find:

i) Its volume

ii) Its total surface area.

Discussion

7232.	If we know that one side of the rectangle is 8 cm can we construct a unique rectangle?
Answer» If we know that one side of the rectangle is 8 cm can we construct a unique rectangle?

Discussion

7233.	Give reason to show that none of the numbers, given below, is a perfect square. (i) 2162 (ii) 6843 (iii) 9637 (iv) 6598
Answer» Give reason to show that none of the numbers, given below, is a perfect square. (i) 2162 (ii) 6843 (iii) 9637 (iv) 6598

7233.

Give reason to show that none of the numbers, given below, is a perfect square. (i) 2162 (ii) 6843 (iii) 9637 (iv) 6598

Answer»

Give reason to show that none of the numbers, given below, is a perfect square.

(i) 2162 (ii) 6843

(iii) 9637 (iv) 6598

Discussion

7234.	How to do 16-4 by 2+4. Which procedure to use
Answer» How to do 16-4 by 2+4. Which procedure to use

Discussion

7235.	Triangle are in ratio 4 ratio 5 is sum of two angle equal third angle find angles
Answer» Triangle are in ratio 4 ratio 5 is sum of two angle equal third angle find angles

Discussion

7236.	The volume and the curved surface area of a cylinder are 1650cm3 and 660cm2 respectively. Find the radius and height of the cylinder.
Answer» The volume and the curved surface area of a cylinder are $1650 c m^{3}$ and $660 c m^{2}$ respectively. Find the radius and height of the cylinder.

Discussion

7237.	Why monomial is polynomial?
Answer» Why monomial is polynomial?

Discussion

7238.

Can you write the opposite of (i) lend b w (ii) nobody s y

Answer»

Can you write the opposite of

(i) lend	b ________________ w
(ii) nobody	s ________________ y

Discussion

7239.	For each of the following numbers, find the smallest whole numberby which it should be multiplied so as to get a perfect squarenumber. Also find the square root of the square number so obtained.(i) 252 (ii) 180 (iii) 1008 (iv) 2028(v) 1458 (vi) 768
Answer» For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained. (i) 252 (ii) 180 (iii) 1008 (iv) 2028 (v) 1458 (vi) 768

7239.

For each of the following numbers, find the smallest whole numberby which it should be multiplied so as to get a perfect squarenumber. Also find the square root of the square number so obtained.(i) 252 (ii) 180 (iii) 1008 (iv) 2028(v) 1458 (vi) 768

Answer»

For each of the following numbers, find the smallest whole number
by which it should be multiplied so as to get a perfect square
number. Also find the square root of the square number so obtained.

(i) 252 (ii) 180

(iii) 1008 (iv) 2028

(v) 1458 (vi) 768

Discussion

7240.	Given : Parallelogram ABCD in which diagonals AC and BD intersect at M.Prove : M is mid-point of LN.
Answer» $Given : Parallelogram ABCD in which diagonals AC and BD intersect at M. Prove : M is mid-point of LN.$

Discussion

7241.	Factorize each of the following expressions : ax + ay - bx - by
Answer» Factorize each of the following expressions : ax + ay - bx - by

7241.

Factorize each of the following expressions : ax + ay - bx - by

Answer»

Factorize each of the following expressions :

ax + ay - bx - by

Discussion

7242.	Question 6 (b) (b) What is the maximum exterior angle possible for a regular polygon?
Answer» Question 6 (b) (b) What is the maximum exterior angle possible for a regular polygon?

Discussion

7243.	Evaluate the following:(i) 2x3+2x2-7x+72, when x=3-5i2(ii) x4-4x3+4x2+8x+44, when x=3+2i(iii) x4+4x3+6x2+4x+9, when x=-1+i2(iv) x6+x4+x2+1, when x=1+i2(v) 2x4+5x3+7x2-x+41, when x=-2-3i
Answer» Evaluate the following: (i) $2 x^{3} + 2 x^{2} - 7 x + 72, when x = \frac{3 - 5 i}{2}$ (ii) $x^{4} - 4 x^{3} + 4 x^{2} + 8 x + 44, when x = 3 + 2 i$ (iii) $x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 9, when x = - 1 + i \sqrt{2}$ (iv) $x^{6} + x^{4} + x^{2} + 1, when x = \frac{1 + i}{\sqrt{2}}$ (v) $2 x^{4} + 5 x^{3} + 7 x^{2} - x + 41, when x = - 2 - \sqrt{3} i$

Discussion

7244.	Replace the letters with appropriate digits (a) 73K÷8=9L
Answer» Replace the letters with appropriate digits (a) 73K÷8=9L

Discussion

7245.	How many lines of symmetry are there in a circle?
Answer» How many lines of symmetry are there in a circle?

Discussion

7246.	In the figure, lines intersect at O, if X = 75∘ find ∠U
Answer» In the figure, lines intersect at O, if X = $75^{\circ}$ find $∠$ U

7246.

In the figure, lines intersect at O, if X = 75∘ find ∠U

Answer»

In the figure, lines intersect at O, if X = $75^{\circ}$ find $∠$ U

Discussion

7247.	Find the possible interior angle(s) of an equiangular polygon having the sum of interior angles as 180o.
Answer» Find the possible interior angle(s) of an equiangular polygon having the sum of interior angles as $180^{o} .$

Discussion

7248.	42. For the He+ ion which of the following options is true? A. Energy of 3s is less than 3p. B. Energy of 3p is less than 3d. C. Energies of 3s, 3p, and 3d are all the same. D. Energy of 3s is same as 3p, but lower than 3d.
Answer» 42. For the He+ ion which of the following options is true? A. Energy of 3s is less than 3p. B. Energy of 3p is less than 3d. C. Energies of 3s, 3p, and 3d are all the same. D. Energy of 3s is same as 3p, but lower than 3d.

Discussion

7249.	Question 19There are 50 numbers. Each number is subtracted from 53 and the mean of the number so obtained is found to be -3 .5. The mean of the given numbers is:A) 46.5B) 49.5C) 53.5D) 56.5
Answer» Question 19 There are 50 numbers. Each number is subtracted from 53 and the mean of the number so obtained is found to be -3 .5. The mean of the given numbers is: A) 46.5 B) 49.5 C) 53.5 D) 56.5

Discussion

7250.	Let ABC is an isoscles triangle with AB=BC.A trisector of angle B meets AC at D.If AB,AC and BD are integers and AB-BD=3, find AC.
Answer» Let ABC is an isoscles triangle with AB=BC.A trisector of angle B meets AC at D.If AB,AC and BD are integers and AB-BD=3, find AC.

Discussion

Explore topic-wise InterviewSolutions in .

Question 3(iv)Find the products:x×x2×x3×x4

Question 89 (iii)Factorise the following, using the identity, a2+2ab+b2=(a+b)2x2+14x+49

If x represents a natural number, then the expression representing any square number is .

Question 86How many faces, edges and vertices does a pyramid have with n sided polygon as its base?

Question 68(i)Find the SP, ifMP = Rs. 5450 and discount = 5%

A number ends with 'n' zeroes. How many zero(s) will we get if we square the the number?

If y=1-x1!+x22!-x33!+x44!-x55!+...., then dydx= ________________________.

Express 3600 as a product of powers of their prime factors.

The page numbers of a book written in a row gives a 216 digit number. How many pages are there in the book?

Prove that (a-1 + b-1)-1 = ab/a+b

A shopkeeper makes a profit of Rs. 46 in a day by selling gel pens. He notices that the profit made by him is 5 less than thrice the number of gel pens sold by him. If he sells 'p' number of gel pens in a day then the correct equation for profit is

A polygon which has all the interior angles of same measure is a/an polygon.

(4+√3)× ________ results in a rational number.

In the following figure ABCD is a trapezium in which AB∥DC. Find the measure of ∠C.

Question 48(i) Complete the given tables and draw a graph for each. x0123y=3x+114−−

Question 25An irreducible factor of 24x2y2 is(a) x2(b) y2(c) x(d) 24x

24. Two angles of a triangle are (x+40),(x-20) and (1/2x-10). Find the value of x.

Question 109(ii) A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ? If 45 people like tea, how many people were surveyed ?

Two identical cubes each of total surface area of 6 cm2 are joined end to end. Which of the following is the total surface area of the cuboid so formed?

Rahul was folding margined application form of the exam to put it in an envelope. He folded it in such a way that the top margin coincided with the bottom one like in the figure. It is because both the margins are ________.

Ten years from now Jane will be 18 years old. What is her present age?

Byju's father is 26 years younger than by chunks grandfather in 29 years older than bathrooms the sum of the ages of all the three is 135 years what is the age of each one of them

Question 105(iv)Verify the property x + y = y + x of rational number by takingx=−25 and y=−910

The volume of a cube is 729cm3. Find its surface area.

Cartesian plane is represented by _____.

If A and B are two events, then the probability of occurrence of A only is equal to _____________.

Which of the following addition or subtraction of irrational numbers will not result into an irrational number.

The cost of an article is ₹ 15500 and ₹ 450 is spent on its repair. If the article is sold at a profit of 15 %, then what is the selling price?

Question 144(i)Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.NameDistance covered (in km)Seema125Nancy132Megha140Soni120How farther did Soni hop than Nancy?

On one day a rickshaw puller earned Rs 160. Out of his earnings he spent Rs 2635 on tea and snacks, Rs 5012 on food and Rs 1625 on repairs of the rickshaw. How much did he save on that day?

The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find: i) Its volume ii) Its total surface area.

If we know that one side of the rectangle is 8 cm can we construct a unique rectangle?

Give reason to show that none of the numbers, given below, is a perfect square. (i) 2162 (ii) 6843 (iii) 9637 (iv) 6598

How to do 16-4 by 2+4. Which procedure to use

Triangle are in ratio 4 ratio 5 is sum of two angle equal third angle find angles

The volume and the curved surface area of a cylinder are 1650cm3 and 660cm2 respectively. Find the radius and height of the cylinder.

Why monomial is polynomial?

Can you write the opposite of (i) lend b ________________ w (ii) nobody s ________________ y

For each of the following numbers, find the smallest whole numberby which it should be multiplied so as to get a perfect squarenumber. Also find the square root of the square number so obtained.(i) 252 (ii) 180 (iii) 1008 (iv) 2028(v) 1458 (vi) 768

Given : Parallelogram ABCD in which diagonals AC and BD intersect at M.Prove : M is mid-point of LN.

Factorize each of the following expressions : ax + ay - bx - by

Question 6 (b) (b) What is the maximum exterior angle possible for a regular polygon?

Evaluate the following:(i) 2x3+2x2-7x+72, when x=3-5i2(ii) x4-4x3+4x2+8x+44, when x=3+2i(iii) x4+4x3+6x2+4x+9, when x=-1+i2(iv) x6+x4+x2+1, when x=1+i2(v) 2x4+5x3+7x2-x+41, when x=-2-3i

Replace the letters with appropriate digits (a) 73K÷8=9L

How many lines of symmetry are there in a circle?

In the figure, lines intersect at O, if X = 75∘ find ∠U

Find the possible interior angle(s) of an equiangular polygon having the sum of interior angles as 180o.

42. For the He+ ion which of the following options is true? A. Energy of 3s is less than 3p. B. Energy of 3p is less than 3d. C. Energies of 3s, 3p, and 3d are all the same. D. Energy of 3s is same as 3p, but lower than 3d.

Question 19There are 50 numbers. Each number is subtracted from 53 and the mean of the number so obtained is found to be -3 .5. The mean of the given numbers is:A) 46.5B) 49.5C) 53.5D) 56.5

Let ABC is an isoscles triangle with AB=BC.A trisector of angle B meets AC at D.If AB,AC and BD are integers and AB-BD=3, find AC.

Can you write the opposite of (i) lend b w (ii) nobody s y