25365 + Interview Questions in Mathematics Page 231 InterviewSolution

11501.	Question 4 Find the values of the letters in the following and give reasons for the steps involved. A B + 3 7–––––––– 6 A–––––
Answer» Question 4 Find the values of the letters in the following and give reasons for the steps involved. $A B$ $+ 37 - ------ -$ $6 A - --- -$

Discussion

11502.	Question 92 (x) Factorise the following using the identity a2−b2=(a+b)(a−b). 49x2−36y2
Answer» Question 92 (x) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $49 x^{2} - 36 y^{2}$

11502.

Question 92 (x) Factorise the following using the identity a2−b2=(a+b)(a−b). 49x2−36y2

Answer»

Question 92 (x)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$49 x^{2} - 36 y^{2}$

Discussion

11503.	Are all re parallelograms trapeziums? Are all squares trapizitra
Answer» Are all re parallelograms trapeziums? Are all squares trapizitra

11503.

Are all re parallelograms trapeziums? Are all squares trapizitra

Answer»

Are all re parallelograms trapeziums?

Are all squares trapizitra

Discussion

11504.	Construct a square, each of whose sides measures 6.4 cm.
Answer» Construct a square, each of whose sides measures 6.4 cm.

Discussion

11505.	The system of linear equations is given as y+2x=4 2y+4y=6Which of the following is the solution to the above system?
Answer» The system of linear equations is given as $y + 2 x = 4$ $2 y + 4 y = 6$ Which of the following is the solution to the above system?

Discussion

11506.	In the given figure, if AD⊥BC and BD = DC, then which of the following are true ?
Answer» In the given figure, if $A D ⊥ B C$ and BD = DC, then which of the following are true ?

Discussion

11507.	Question 29In the following question, out of the four options, only one is correct. Write the correct answer.For any two non-zero rational numbers x and y,x4÷y4 is equal to:(a) (x÷y)0(b) (x÷y)1(c) (x÷y)4(d) (x÷y)8
Answer» Question 29 In the following question, out of the four options, only one is correct. Write the correct answer. For any two non-zero rational numbers x and $y, x^{4} \div y^{4}$ is equal to: (a) $(x \div y)^{0}$ (b) $(x \div y)^{1}$ (c) $(x \div y)^{4}$ (d) $(x \div y)^{8}$

11507.

Question 29In the following question, out of the four options, only one is correct. Write the correct answer.For any two non-zero rational numbers x and y,x4÷y4 is equal to:(a) (x÷y)0(b) (x÷y)1(c) (x÷y)4(d) (x÷y)8

Answer»

Question 29

In the following question, out of the four options, only one is correct. Write the correct answer.

For any two non-zero rational numbers x and $y, x^{4} \div y^{4}$ is equal to:

(a) $(x \div y)^{0}$

(b) $(x \div y)^{1}$

(c) $(x \div y)^{4}$

(d) $(x \div y)^{8}$

Discussion

11508.	A polygon is said to be a regular polygon if -
Answer» A polygon is said to be a regular polygon if -

Discussion

11509.	Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder.p(x)=x4−3x2+4x+5,g(x)=x2+1−x
Answer» Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder. $p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

Discussion

11510.	What is the value of x/0 ?
Answer» What is the value of x/0 ?

Discussion

11511.	Factorise the following:
Answer» Factorise the following:

11511.

Factorise the following:

Answer»

Factorise the following:

Discussion

11512.	Vasudevan invested ₹60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he would get after 6 months?
Answer» Vasudevan invested ₹60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he would get after 6 months?

Discussion

11513.	Michael borrowed Rs.16000 from a finance company at 10% per annum. compounded half-yearly. What amount of money will discharge his debt after 112years?
Answer» Michael borrowed $R s . 16000$ from a finance company at $10 %$ per annum. compounded half-yearly. What amount of money will discharge his debt after $1 \frac{1}{2}$ years?

Discussion

11514.	Which of the given solids has the maximum number of vertices?
Answer» Which of the given solids has the maximum number of vertices?

Discussion

11515.	The diagonals of a rhombus are 16 cm and 12 cm, then the area of rhombus is:
Answer» The diagonals of a rhombus are 16 cm and 12 cm, then the area of rhombus is:

Discussion

11516.	Given that diameter of a circle is d and radius of the circle is r. Find circumference of the circle.
Answer» Given that diameter of a circle is $d$ and radius of the circle is $r$ . Find circumference of the circle.

Discussion

11517.	Which of the suffixes when added to the following nouns will make them a doer of a thing? Art, piano, journal, tour
Answer» Which of the suffixes when added to the following nouns will make them a doer of a thing? Art, piano, journal, tour

11517.

Which of the suffixes when added to the following nouns will make them a doer of a thing? Art, piano, journal, tour

Answer»

Which of the suffixes when added to the following nouns will make them a doer of a thing?

Art, piano, journal, tour

Discussion

11518.	What is jagged line?
Answer» What is jagged line?

Discussion

11519.	Construct a quadrilateral ABCD in which AB = 3.8 cm, BC=3.0 cm, AD=2.3 cm, AC=4.5 cm, and BD =3.8 cm.
Answer» Construct a quadrilateral ABCD in which AB = 3.8 cm, BC=3.0 cm, AD=2.3 cm, AC=4.5 cm, and BD =3.8 cm.

Discussion

11520.	Find each of the following products: (x2−3x+7)×(2x+3)
Answer» Find each of the following products: $(x^{2} - 3 x + 7) \times (2 x + 3)$

Discussion

11521.	Write 3-digit numbers ending with 0, 1, 4, 5, 6, 9, one for each digit, but none of them is a perfect square.
Answer» Write 3-digit numbers ending with 0, 1, 4, 5, 6, 9, one for each digit, but none of them is a perfect square.

Discussion

11522.	The number of zeroes in the square of 60 is ___ .
Answer» The number of zeroes in the square of 60 is ___ .

Discussion

11523.	Find the solution for the following pair of equations2x+8y=32x+y=54
Answer» Find the solution for the following pair of equations $2 x + 8 y = 3$ $2 x + y = \frac{5}{4}$

Discussion

11524.	M/s. Auto Aid, Delhi purchased 500 pieces of car horns ₹ 200 each less 10% Trade Discount plus IGST 12% from M/s Auto Horns, Chandigarh. What is the invoice value?
Answer» M/s. Auto Aid, Delhi purchased 500 pieces of car horns ₹ 200 each less 10% Trade Discount plus IGST 12% from M/s Auto Horns, Chandigarh. What is the invoice value?

Discussion

11525.	A triangle with 2 sides of equal length is called:
Answer» A triangle with 2 sides of equal length is called:

Discussion

11526.	If A={8,16,24,32} and B={5,25,125} and R is relation defined from A to B such that aRb means a<b for all a∈A,b∈B and (a,b)∈R, then R= ___.
Answer» If $A = {8, 16, 24, 32}$ and $B = {5, 25, 125}$ and $R$ is relation defined from A to B such that $a R b$ means $a < b$ for all $a \in A, b \in B$ and $(a, b) \in R,$ then $R =$ ___.

Discussion

11527.	Question 62212x5 is a multiple of 3 and 11. Find the value of x.
Answer» Question 62 $212 x 5$ is a multiple of 3 and 11. Find the value of x.

11527.

Question 62212x5 is a multiple of 3 and 11. Find the value of x.

Answer»

Question 62

$212 x 5$ is a multiple of 3 and 11. Find the value of x.

Discussion

11528.	Given a semicircle with radius and diameter of r and d respectively, the arc length of a semicircle can be written as
Answer» Given a semicircle with radius and diameter of $r$ and $d$ respectively, the arc length of a semicircle can be written as

Discussion

11529.	A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and at the same time?
Answer» A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and at the same time?

Discussion

11530.	The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. What would be its population in 2005?
Answer» The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. What would be its population in 2005?

Discussion

11531.	Rajan can do a piece of work in 24 days while Mutt can dolt in 30 days. In how many days can they complete it, if they work together? 2
Answer» Rajan can do a piece of work in 24 days while Mutt can dolt in 30 days. In how many days can they complete it, if they work together? 2

Discussion

11532.	Construct a quadrilateral ABCD in which AB = 4.2 cm, BC = 6 cm, CD = 5.2 cm, DA = 5 cm and AC = 8 cm.
Answer» Construct a quadrilateral ABCD in which AB = 4.2 cm, BC = 6 cm, CD = 5.2 cm, DA = 5 cm and AC = 8 cm.

Discussion

11533.	Which of the following is not a property of Rhombus?
Answer» Which of the following is not a property of Rhombus?

Discussion

11534.	Simplify the expression 6m - 10m + 10.
Answer» Simplify the expression 6m - 10m + 10.

Discussion

11535.	Factorise Completely : 2a2−8a−64
Answer» Factorise Completely : $2 a^{2} - 8 a - 64$

Discussion

11536.	Question 24Fill in the blanks to make the statement true.The number of angles less than 180∘ is ___ and their names are _______.
Answer» Question 24 Fill in the blanks to make the statement true. The number of angles less than $180^{\circ}$ is ___ and their names are _______.

11536.

Question 24Fill in the blanks to make the statement true.The number of angles less than 180∘ is _ and their names are _____.

Answer»

Question 24

Fill in the blanks to make the statement true.

The number of angles less than $180^{\circ}$ is ___ and their names are _______.

Discussion

11537.	If , then (A+B)(A-B) is equal to
Answer» If , then (A+B)(A-B) is equal to

Discussion

11538.	Bottom of a 300ml Thumps Up bottle is ______.
Answer» Bottom of a 300ml Thumps Up bottle is ______.

Discussion

11539.	Compare: 127 and 4812748
Answer» Compare: 127 and 48 12748

Discussion

11540.	Factorisea3 – 12a(a – 4) – 64
Answer» Factorise a³ – 12a(a – 4) – 64

Discussion

11541.	What is the volume of ammonia produced when 4 L of N2 and 1 L of H2 is used in Haber's process? Options: 340 mL , 666.67 mL , 460 mL , 100 mL
Answer» What is the volume of ammonia produced when 4 L of N2 and 1 L of H2 is used in Haber's process? Options: 340 mL , 666.67 mL , 460 mL , 100 mL

Discussion

11542.	Simplify:
Answer» Simplify:

11542.

Simplify:

Answer»

Simplify:

Discussion

11543.	If n(U)=50, n(A)=20, n((AUB)' )=18, then find n(A-B)If n(U)=50, n(A)=20, n((AUB)' )=18, then find n(A-B)
Answer» If n(U)=50, n(A)=20, n((AUB)' )=18, then find n(A-B)If n(U)=50, n(A)=20, n((AUB)' )=18, then find n(A-B)

Discussion

11544.	The eccentricity of the ellipse 16x2 + 7y2 = 112 is ___________.
Answer» The eccentricity of the ellipse 16x² + 7y² = 112 is ___________.

Discussion

11545.

Compute the mean of the following frequency distribution: Class 10 − 30 30 − 50 50 − 70 70 − 90 90 − 110 Frequency 15 18 25 10 2

Answer» Compute the mean of the following frequency distribution:

Class	10 − 30	30 − 50	50 − 70	70 − 90	90 − 110
Frequency	15	18	25	10	2

Discussion

11546.	29. Find the radius of circle if the triangle formed is equlateral and the quadrilateral is a square and the length of side of triangle is 2010 cm
Answer» 29. Find the radius of circle if the triangle formed is equlateral and the quadrilateral is a square and the length of side of triangle is 2010 cm

Discussion

11547.	What are the minimum number of measurements needed to construct a square?
Answer» What are the minimum number of measurements needed to construct a square?

Discussion

11548.	What is the angle subtended by green portion at the center of following pie chart?
Answer» What is the angle subtended by green portion at the center of following pie chart?

Discussion

11549.	An minor arc subtends an angle of 60∘ at the centre of the circle with radius 3 units. What is the arc length of the major sector?
Answer» An minor arc subtends an angle of $60^{\circ}$ at the centre of the circle with radius $3$ units. What is the arc length of the major sector?

Discussion

11550.	If A={1,2,3} and B={4,5}, then A×B= ___.
Answer» If $A = {1, 2, 3}$ and $B = {4, 5},$ then $A \times B =$ ___.

Discussion

Explore topic-wise InterviewSolutions in .

Question 4 Find the values of the letters in the following and give reasons for the steps involved. A B + 3 7–––––––– 6 A–––––

Question 92 (x) Factorise the following using the identity a2−b2=(a+b)(a−b). 49x2−36y2

Are all re parallelograms trapeziums? Are all squares trapizitra

Construct a square, each of whose sides measures 6.4 cm.

The system of linear equations is given as y+2x=4 2y+4y=6Which of the following is the solution to the above system?

In the given figure, if AD⊥BC and BD = DC, then which of the following are true ?

Question 29In the following question, out of the four options, only one is correct. Write the correct answer.For any two non-zero rational numbers x and y,x4÷y4 is equal to:(a) (x÷y)0(b) (x÷y)1(c) (x÷y)4(d) (x÷y)8

A polygon is said to be a regular polygon if -

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder.p(x)=x4−3x2+4x+5,g(x)=x2+1−x

What is the value of x/0 ?

Factorise the following:

Vasudevan invested ₹60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he would get after 6 months?

Michael borrowed Rs.16000 from a finance company at 10% per annum. compounded half-yearly. What amount of money will discharge his debt after 112years?

Which of the given solids has the maximum number of vertices?

The diagonals of a rhombus are 16 cm and 12 cm, then the area of rhombus is:

Given that diameter of a circle is d and radius of the circle is r. Find circumference of the circle.

Which of the suffixes when added to the following nouns will make them a doer of a thing? Art, piano, journal, tour

What is jagged line?

Construct a quadrilateral ABCD in which AB = 3.8 cm, BC=3.0 cm, AD=2.3 cm, AC=4.5 cm, and BD =3.8 cm.

Find each of the following products: (x2−3x+7)×(2x+3)

Write 3-digit numbers ending with 0, 1, 4, 5, 6, 9, one for each digit, but none of them is a perfect square.

The number of zeroes in the square of 60 is ___ .

Find the solution for the following pair of equations2x+8y=32x+y=54

M/s. Auto Aid, Delhi purchased 500 pieces of car horns ₹ 200 each less 10% Trade Discount plus IGST 12% from M/s Auto Horns, Chandigarh. What is the invoice value?

A triangle with 2 sides of equal length is called:

If A={8,16,24,32} and B={5,25,125} and R is relation defined from A to B such that aRb means a&lt;b for all a∈A,b∈B and (a,b)∈R, then R= ___.

Question 62212x5 is a multiple of 3 and 11. Find the value of x.

Given a semicircle with radius and diameter of r and d respectively, the arc length of a semicircle can be written as

A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and at the same time?

The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. What would be its population in 2005?

Rajan can do a piece of work in 24 days while Mutt can dolt in 30 days. In how many days can they complete it, if they work together? 2

Construct a quadrilateral ABCD in which AB = 4.2 cm, BC = 6 cm, CD = 5.2 cm, DA = 5 cm and AC = 8 cm.

Which of the following is not a property of Rhombus?

Simplify the expression 6m - 10m + 10.

Factorise Completely : 2a2−8a−64

Question 24Fill in the blanks to make the statement true.The number of angles less than 180∘ is ___ and their names are _______.

If , then (A+B)(A-B) is equal to

Bottom of a 300ml Thumps Up bottle is ______.

Compare: 127 and 4812748

Factorisea3 – 12a(a – 4) – 64

What is the volume of ammonia produced when 4 L of N2 and 1 L of H2 is used in Haber's process? Options: 340 mL , 666.67 mL , 460 mL , 100 mL

Simplify:

If n(U)=50, n(A)=20, n((AUB)' )=18, then find n(A-B)If n(U)=50, n(A)=20, n((AUB)' )=18, then find n(A-B)

The eccentricity of the ellipse 16x2 + 7y2 = 112 is ___________.

Compute the mean of the following frequency distribution: Class 10 − 30 30 − 50 50 − 70 70 − 90 90 − 110 Frequency 15 18 25 10 2

29. Find the radius of circle if the triangle formed is equlateral and the quadrilateral is a square and the length of side of triangle is 2010 cm

What are the minimum number of measurements needed to construct a square?

What is the angle subtended by green portion at the center of following pie chart?

An minor arc subtends an angle of 60∘ at the centre of the circle with radius 3 units. What is the arc length of the major sector?

If A={1,2,3} and B={4,5}, then A×B= ___.

If A={8,16,24,32} and B={5,25,125} and R is relation defined from A to B such that aRb means a<b for all a∈A,b∈B and (a,b)∈R, then R= ___.

Question 24Fill in the blanks to make the statement true.The number of angles less than 180∘ is _ and their names are _____.