25365 + Interview Questions in Mathematics Page 254 InterviewSolution

12651.	The area of a rhombus is 54 cm2. If length of one of its diagonals is 9 cm, then what is the length of the other diagonal?
Answer» The area of a rhombus is 54 cm². If length of one of its diagonals is 9 cm, then what is the length of the other diagonal?

Discussion

12652.	Find the median of the data: 15, 22, 9, 20, 6, 18, 11, 25, 14.
Answer» Find the median of the data: 15, 22, 9, 20, 6, 18, 11, 25, 14.

Discussion

12653.	x^2+1/x^2=7,then x=?(Given:\surd5=2.24)
Answer» x^2+1/x^2=7,then x=?(Given:\surd5=2.24)

Discussion

12654.	Question 22If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is aa) Rhombusb) Rectanglec) Trapeziumd) Parallelogram
Answer» Question 22 If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a a) Rhombus b) Rectangle c) Trapezium d) Parallelogram

Discussion

12655.	A student constructed a triangle with the known conditions to him being the perimeter of the triangle and both the base angles. The steps of construction he used are as follows: 1. Draw a line segment, say XY equal to AB + BC + AC 2. Make angles LXY equal to ∠B and angle MYX equal to ∠C 3. Bisect ∠LXY and ∠MXY. Let these bisectors intersect each other at A. 4. Draw perpendicular bisectors DE of AX and FG of AY 5. Let DE intersect XY at B and FG intersect XY at C. Join AB and AC. 6. The triangle ABC is thus formed. How many isosceles triangles are there in this figure?
Answer» A student constructed a triangle with the known conditions to him being the perimeter of the triangle and both the base angles. The steps of construction he used are as follows: 1. Draw a line segment, say XY equal to AB + BC + AC 2. Make angles LXY equal to $∠ B$ and angle MYX equal to $∠ C$ 3. Bisect $∠ L X Y$ and $∠ M X Y$ . Let these bisectors intersect each other at A. 4. Draw perpendicular bisectors DE of AX and FG of AY 5. Let DE intersect XY at B and FG intersect XY at C. Join AB and AC. 6. The triangle ABC is thus formed. How many isosceles triangles are there in this figure?

12655.

A student constructed a triangle with the known conditions to him being the perimeter of the triangle and both the base angles. The steps of construction he used are as follows: 1. Draw a line segment, say XY equal to AB + BC + AC 2. Make angles LXY equal to ∠B and angle MYX equal to ∠C 3. Bisect ∠LXY and ∠MXY. Let these bisectors intersect each other at A. 4. Draw perpendicular bisectors DE of AX and FG of AY 5. Let DE intersect XY at B and FG intersect XY at C. Join AB and AC. 6. The triangle ABC is thus formed. How many isosceles triangles are there in this figure?

Answer»

A student constructed a triangle with the known conditions to him being the perimeter of the triangle and both the base angles. The steps of construction he used are as follows:

1. Draw a line segment, say XY equal to AB + BC + AC

2. Make angles LXY equal to $∠ B$ and angle MYX equal to $∠ C$

3. Bisect $∠ L X Y$ and $∠ M X Y$ . Let these bisectors intersect each other at A.

4. Draw perpendicular bisectors DE of AX and FG of AY

5. Let DE intersect XY at B and FG intersect XY at C. Join AB and AC.

6. The triangle ABC is thus formed.

How many isosceles triangles are there in this figure?

Discussion

12656.	PROVE SECOND LAW OF DE MORGAN A INTERSECTION B COMPLEMET EQUALS TO A COMPLEMENT UNION B COMPLIMENT .(A n B ) ' = A' U B' PROVE SECOND PROPERTY OF DISTRIBUTIVE LAW A U (B n C ) = ( AUB ) n (AUC )
Answer» PROVE SECOND LAW OF DE MORGAN A INTERSECTION B COMPLEMET EQUALS TO A COMPLEMENT UNION B COMPLIMENT . (A n B ) ' = A' U B' PROVE SECOND PROPERTY OF DISTRIBUTIVE LAW A U (B n C ) = ( AUB ) n (AUC )

Discussion

12657.	In the given figure, what is the value of x?(a) 35(b) 45(c) 50(d) 60
Answer» In the given figure, what is the value of x? (a) 35 (b) 45 (c) 50 (d) 60

Discussion

12658.	Question 1The frequency distribution Marks0−2020−4040−6060−100Number of10152025studentshas been represented graphically as follows:Do you think this representation is correct? Why?
Answer» Question 1 The frequency distribution $\begin{matrix} Marks & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 100 Number of & 10 & 15 & 20 & 25 students \end{matrix}$ has been represented graphically as follows: Do you think this representation is correct? Why?

Discussion

12659.	In parallelogram PQRS, A and B are the mid-points of PS and QR respectively. Diagonal PR intersects AB at point O. Prove that area triangle PQR = area of quadrilateral APQB.
Answer» In parallelogram PQRS, A and B are the mid-points of PS and QR respectively. Diagonal PR intersects AB at point O. Prove that area triangle PQR = area of quadrilateral APQB.

Discussion

12660.	Choose the correct option:If a straight-line pass through (0, 0) and (1, 5), then its equation is ______________.A. y = xB. y = 5xC. 5y = xD. y = x + 5
Answer» Choose the correct option: If a straight-line pass through (0, 0) and (1, 5), then its equation is ______________. A. y = x B. y = 5x C. 5y = x D. y = x + 5

12660.

Choose the correct option:If a straight-line pass through (0, 0) and (1, 5), then its equation is ______________.A. y = xB. y = 5xC. 5y = xD. y = x + 5

Answer»

Choose the correct option:

If a straight-line pass through (0, 0) and (1, 5), then its equation is ______________.

A. y = x

B. y = 5x

C. 5y = x

D. y = x + 5

Discussion

12661.	Which of the following are the factors of x2+4(x−3)
Answer» Which of the following are the factors of $x^{2} + 4 (x - 3)$

12661.

Which of the following are the factors of x2+4(x−3)

Answer»

Which of the following are the factors of

$x^{2} + 4 (x - 3)$

Discussion

12662.	Ramesh has a total of Rs.1000 as currency notes in the denominations of 100, 50 and 10. The ratio of the number of 50 notes and 100 notes is 3:2. If he has a total of 40 notes, how many notes of each denomination does he have? [4 MARKS]
Answer» Ramesh has a total of Rs.1000 as currency notes in the denominations of 100, 50 and 10. The ratio of the number of 50 notes and 100 notes is 3:2. If he has a total of 40 notes, how many notes of each denomination does he have? [4 MARKS]

Discussion

12663.	A dealer marks his goods 40% above the cost price and allows a discount of 10%. Find the profit percent.
Answer» A dealer marks his goods 40% above the cost price and allows a discount of 10%. Find the profit percent.

Discussion

12664.	From the following figure, choose the correct pair of corresponding angles.
Answer» From the following figure, choose the correct pair of corresponding angles.

Discussion

12665.	Shrikant deposited 85,000 rupees for 212 years at 7 p.c.p.a. in a savings bank account. What is the total interest he received at the end of the period?
Answer» Shrikant deposited 85,000 rupees for $2 \frac{1}{2}$ years at 7 p.c.p.a. in a savings bank account. What is the total interest he received at the end of the period?

Discussion

12666.	Let a, b, x, y be real numbers such that a^2 + b^2 = 81x^2 + y^2 = 121ax + by = 99What shall be the possible values for ay - bx is A) (0, 9/11 ]B) (0, 9/11 )C) {0}D) [9/11, Infinity)
Answer» Let a, b, x, y be real numbers such that a^2 + b^2 = 81 x^2 + y^2 = 121 ax + by = 99 What shall be the possible values for ay - bx is A) (0, 9/11 ] B) (0, 9/11 ) C) {0} D) [9/11, Infinity)

Discussion

12667.	Choose the correct pairs of supplementary angles.
Answer» Choose the correct pairs of supplementary angles.

Discussion

12668.	Try to prove the following using the general principle. (i) (x − y) + z = x − (y − z) for all numbers x, y, z (ii) (x + y) − z = x + (y − z) for all numbers x, y, z
Answer» Try to prove the following using the general principle. (i) (x − y) + z = x − (y − z) for all numbers x, y, z (ii) (x + y) − z = x + (y − z) for all numbers x, y, z

12668.

Try to prove the following using the general principle. (i) (x − y) + z = x − (y − z) for all numbers x, y, z (ii) (x + y) − z = x + (y − z) for all numbers x, y, z

Answer»

Try to prove the following using the general principle.

(i) (x − y) + z = x − (y − z) for all numbers x, y, z

(ii) (x + y) − z = x + (y − z) for all numbers x, y, z

Discussion

12669.	Which of the following can't be the square of any positive integer (for some interger q)?Options: 5q5q + 15q + 25q + 4
Answer» Which of the following can't be the square of any positive integer (for some interger q)? Options: 5q 5q + 1 5q + 2 5q + 4

Discussion

12670.	What is slope of equation of straight line ky=mx+kc, where m,k & c are constants?
Answer» What is slope of equation of straight line $k y = m x + k c$ , where $m, k & c$ are constants?

Discussion

12671.	In a triangle ABC, if ∠A = 55° and ∠B = 40°, find ∠C.
Answer» In a triangle ABC, if ∠A = 55° and ∠B = 40°, find ∠C.

Discussion

12672.	Find and correct the errors in the statement: (a + 4) (a + 2) = a2 + 8
Answer» Find and correct the errors in the statement: (a + 4) (a + 2) = a² + 8

Discussion

12673.	Suppose m/n and p/q are two positive rational numbers. Where does lie, with respect to m/n and p/q?
Answer» Suppose m/n and p/q are two positive rational numbers. Where does lie, with respect to m/n and p/q?

12673.

Suppose m/n and p/q are two positive rational numbers. Where does lie, with respect to m/n and p/q?

Answer»

Suppose m/n and p/q are two positive rational numbers. Where does lie, with respect to m/n and p/q?

Discussion

12674.	Question 79(ii)Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.
Answer» Question 79(ii) Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.

12674.

Question 79(ii)Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.

Answer»

Question 79(ii)

Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.

Discussion

12675.	12 men can reap the field in 20 days. How many men are required to reap the field in 30 days?
Answer» 12 men can reap the field in 20 days. How many men are required to reap the field in 30 days?

Discussion

12676.	40 If G is the centroid of tr ABC, prove that GA+GB +GC =0. further if G1 be the centroid of the another triangle PQR, show that AP+BQ +CR =3GG1
Answer» 40 If G is the centroid of tr ABC, prove that GA+GB +GC =0. further if G1 be the centroid of the another triangle PQR, show that AP+BQ +CR =3GG1

Discussion

12677.	Question 3(iii) Factorise the expressions 2x3+2xy2+2xz2
Answer» Question 3(iii) Factorise the expressions $2 x^{3} + 2 x y^{2} + 2 x z^{2}$

Discussion

12678.	Find two numbers whose sum is 100 and whose ratio is 9: 16.
Answer» Find two numbers whose sum is 100 and whose ratio is 9: 16.

Discussion

12679.	expand : (6x +11) (6x -11)
Answer» expand : (6x +11) (6x -11)

Discussion

12680.	What's the integration of (x.x-1/x)dx
Answer» What's the integration of (x.x-1/x)dx

Discussion

12681.	Question 62 212x5 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.

12681.

Question 62 212x5 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

12682.	A dealer is selling an article at a discount of 15%. Find:(i) The selling price if the marked price is Rs. 500;(ii) the cost price if he makes 25% profit.
Answer» A dealer is selling an article at a discount of $15 %$ . Find: (i) The selling price if the marked price is $R s . 500$ ; (ii) the cost price if he makes $25 %$ profit.

12682.

A dealer is selling an article at a discount of 15%. Find:(i) The selling price if the marked price is Rs. 500;(ii) the cost price if he makes 25% profit.

Answer»

A dealer is selling an article at a discount of $15 %$ . Find:

(i) The selling price if the marked price is $R s . 500$ ;

(ii) the cost price if he makes $25 %$ profit.

Discussion

12683.	In the following expression, find the values of p and q√2+2√2−1=p+q√2
Answer» In the following expression, find the values of $p$ and $q$ $\frac{\sqrt{2} + 2}{\sqrt{2} - 1} = p + q \sqrt{2}$

Discussion

12684.	If the mixed numbers can be cancelled .... Do we have to cancel them ?
Answer» If the mixed numbers can be cancelled .... Do we have to cancel them ?

Discussion

12685.	There are four children A,B,C and D. A has 6 chocolates, B has 7 chocolates, C has 8 chocolates and D has 11 chocolates. Which of these children has the average number of chocolates?
Answer» There are four children A,B,C and D. A has 6 chocolates, B has 7 chocolates, C has 8 chocolates and D has 11 chocolates. Which of these children has the average number of chocolates?

Discussion

12686.	Which of the following is not a factor of 5x2y?
Answer» Which of the following is not a factor of $5 x^{2} y$ ?

Discussion

12687.	Which rational numbers do point A and point B represent in the below given number line? (Assume that any two divisions between two integers in the given number line are equal.)
Answer» Which rational numbers do point A and point B represent in the below given number line? (Assume that any two divisions between two integers in the given number line are equal.)

Discussion

12688.	Question 95Every whole number is an integer.
Answer» Question 95 Every whole number is an integer.

Discussion

12689.	if A=(t^2,2t),B=(1/t^2,-2/t) and S=(1,0) then 1/SA+1/SB is equal to
Answer» if A=(t^2,2t),B=(1/t^2,-2/t) and S=(1,0) then 1/SA+1/SB is equal to

Discussion

12690.	The perimeter of a circle of diameter d and radius r can be written as
Answer» The perimeter of a circle of diameter $d$ and radius $r$ can be written as

Discussion

12691.	I bought a second-hand car for ₹50,000, had it transported for ₹5,000 and sold it for ₹59,400. What is my profit %?
Answer» I bought a second-hand car for ₹50,000, had it transported for ₹5,000 and sold it for ₹59,400. What is my profit %?

Discussion

12692.	Suppose P has coordinates (10, 2) in a coordinate system X′OX − Y′OY and (−3, −6) in another coordinate system with. Determine the coordinates of O with respect to the system .
Answer» Suppose P has coordinates (10, 2) in a coordinate system X′OX − Y′OY and (−3, −6) in another coordinate system with. Determine the coordinates of O with respect to the system .

12692.

Suppose P has coordinates (10, 2) in a coordinate system X′OX − Y′OY and (−3, −6) in another coordinate system with. Determine the coordinates of O with respect to the system .

Answer»

Suppose P has coordinates (10, 2) in a coordinate system X′OX − Y′OY and (−3, −6) in another coordinate system with. Determine the coordinates of O with respect to the system .

Discussion

12693.	Factorise:(i) x2 + 14x + 49; (ii) 4x2 + 4x + 1; (iii) a2 − 10a + 25; (iv) 2x2 − 24x + 72;(v) p2 − 24p + 144; (vi) x3 − 12x2 + 36x.
Answer» Factorise: (i) x² + 14x + 49; (ii) 4x² + 4x + 1; (iii) a² − 10a + 25; (iv) 2x² − 24x + 72; (v) p² − 24p + 144; (vi) x³ − 12x² + 36x.

12693.

Factorise:(i) x2 + 14x + 49; (ii) 4x2 + 4x + 1; (iii) a2 − 10a + 25; (iv) 2x2 − 24x + 72;(v) p2 − 24p + 144; (vi) x3 − 12x2 + 36x.

Answer»

Factorise:

(i) x² + 14x + 49; (ii) 4x² + 4x + 1; (iii) a² − 10a + 25; (iv) 2x² − 24x + 72;

(v) p² − 24p + 144; (vi) x³ − 12x² + 36x.

Discussion

12694.	Rewrite the expression in simplest terms.7x3−22x2−14x+5+(3x+4)×x2
Answer» Rewrite the expression in simplest terms. $7 x^{3} - 22 x^{2} - 14 x + 5 + (3 x + 4) \times x^{2}$

Discussion

12695.	A ball falls vertically after being dropped. The ball falls a distance d metres in a time of t seconds. d is directly proportional to the square of t.The ball falls 20 metres in a time of 2 seconds.The time (in seconds) that the ball takes to fall 605 m is
Answer» A ball falls vertically after being dropped. The ball falls a distance d metres in a time of t seconds. d is directly proportional to the square of t. The ball falls 20 metres in a time of 2 seconds. The time (in seconds) that the ball takes to fall 605 m is

Discussion

12696.	14. A Circle of radius 2 unit lies in the first quadrant and touches both the axes of coordinates equation of circle with the centre 6,5 and touching the above circle externally
Answer» 14. A Circle of radius 2 unit lies in the first quadrant and touches both the axes of coordinates equation of circle with the centre 6,5 and touching the above circle externally

Discussion

12697.	If 21y5 is multiple of 9, where y is a digit, what is the value of y.
Answer» If 21y5 is multiple of 9, where y is a digit, what is the value of y.

Discussion

12698.	Question 23Write the correct answer from the given four options.The value of √248+√52+√144 isa) 14b) 12c) 16d) 13
Answer» Question 23 Write the correct answer from the given four options. The value of $\sqrt{248 + \sqrt{52 + \sqrt{144}}}$ is a) 14 b) 12 c) 16 d) 13

12698.

Question 23Write the correct answer from the given four options.The value of √248+√52+√144 isa) 14b) 12c) 16d) 13

Answer»

Question 23

Write the correct answer from the given four options.

The value of $\sqrt{248 + \sqrt{52 + \sqrt{144}}}$ is

a) 14

b) 12

c) 16

d) 13

Discussion

12699.	Find the number of triangular faces and rectangular faces in a kaleidoscope.
Answer» Find the number of triangular faces and rectangular faces in a kaleidoscope.

Discussion

12700.	31. A point P inside the equilateral triangle ABC of side a has distance 3,4 and 5 from the vertices A,B,C respectively. If a= (k1 + K2(k3)) then (k1) + (K2/k3) is equal to
Answer» 31. A point P inside the equilateral triangle ABC of side a has distance 3,4 and 5 from the vertices A,B,C respectively. If a= (k1 + K2(k3)) then (k1) + (K2/k3) is equal to

Discussion

Explore topic-wise InterviewSolutions in .

The area of a rhombus is 54 cm2. If length of one of its diagonals is 9 cm, then what is the length of the other diagonal?

Find the median of the data: 15, 22, 9, 20, 6, 18, 11, 25, 14.

x^2+1/x^2=7,then x=?(Given:\surd5=2.24)

Question 22If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is aa) Rhombusb) Rectanglec) Trapeziumd) Parallelogram

PROVE SECOND LAW OF DE MORGAN A INTERSECTION B COMPLEMET EQUALS TO A COMPLEMENT UNION B COMPLIMENT .(A n B ) ' = A' U B' PROVE SECOND PROPERTY OF DISTRIBUTIVE LAW A U (B n C ) = ( AUB ) n (AUC )

In the given figure, what is the value of x?(a) 35(b) 45(c) 50(d) 60

Question 1The frequency distribution Marks0−2020−4040−6060−100Number of10152025studentshas been represented graphically as follows:Do you think this representation is correct? Why?

In parallelogram PQRS, A and B are the mid-points of PS and QR respectively. Diagonal PR intersects AB at point O. Prove that area triangle PQR = area of quadrilateral APQB.

Choose the correct option:If a straight-line pass through (0, 0) and (1, 5), then its equation is ______________.A. y = xB. y = 5xC. 5y = xD. y = x + 5

Which of the following are the factors of x2+4(x−3)

Ramesh has a total of Rs.1000 as currency notes in the denominations of 100, 50 and 10. The ratio of the number of 50 notes and 100 notes is 3:2. If he has a total of 40 notes, how many notes of each denomination does he have? [4 MARKS]

A dealer marks his goods 40% above the cost price and allows a discount of 10%. Find the profit percent.

From the following figure, choose the correct pair of corresponding angles.

Shrikant deposited 85,000 rupees for 212 years at 7 p.c.p.a. in a savings bank account. What is the total interest he received at the end of the period?

Let a, b, x, y be real numbers such that a^2 + b^2 = 81x^2 + y^2 = 121ax + by = 99What shall be the possible values for ay - bx is A) (0, 9/11 ]B) (0, 9/11 )C) {0}D) [9/11, Infinity)

Choose the correct pairs of supplementary angles.

Try to prove the following using the general principle. (i) (x − y) + z = x − (y − z) for all numbers x, y, z (ii) (x + y) − z = x + (y − z) for all numbers x, y, z

Which of the following can't be the square of any positive integer (for some interger q)?Options: 5q5q + 15q + 25q + 4

What is slope of equation of straight line ky=mx+kc, where m,k &amp; c are constants?

In a triangle ABC, if ∠A = 55° and ∠B = 40°, find ∠C.

Find and correct the errors in the statement: (a + 4) (a + 2) = a2 + 8

Suppose m/n and p/q are two positive rational numbers. Where does lie, with respect to m/n and p/q?

Question 79(ii)Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.

12 men can reap the field in 20 days. How many men are required to reap the field in 30 days?

40 If G is the centroid of tr ABC, prove that GA+GB +GC =0. further if G1 be the centroid of the another triangle PQR, show that AP+BQ +CR =3GG1

Question 3(iii) Factorise the expressions 2x3+2xy2+2xz2

Find two numbers whose sum is 100 and whose ratio is 9: 16.

expand : (6x +11) (6x -11)

What's the integration of (x.x-1/x)dx

Question 62 212x5 is a multiple of 3 and 11. Find the value of x.

A dealer is selling an article at a discount of 15%. Find:(i) The selling price if the marked price is Rs. 500;(ii) the cost price if he makes 25% profit.

In the following expression, find the values of p and q√2+2√2−1=p+q√2

If the mixed numbers can be cancelled .... Do we have to cancel them ?

There are four children A,B,C and D. A has 6 chocolates, B has 7 chocolates, C has 8 chocolates and D has 11 chocolates. Which of these children has the average number of chocolates?

Which of the following is not a factor of 5x2y?

Which rational numbers do point A and point B represent in the below given number line? (Assume that any two divisions between two integers in the given number line are equal.)

Question 95Every whole number is an integer.

if A=(t^2,2t),B=(1/t^2,-2/t) and S=(1,0) then 1/SA+1/SB is equal to

The perimeter of a circle of diameter d and radius r can be written as

I bought a second-hand car for ₹50,000, had it transported for ₹5,000 and sold it for ₹59,400. What is my profit %?

Suppose P has coordinates (10, 2) in a coordinate system X′OX − Y′OY and (−3, −6) in another coordinate system with. Determine the coordinates of O with respect to the system .

Factorise:(i) x2 + 14x + 49; (ii) 4x2 + 4x + 1; (iii) a2 − 10a + 25; (iv) 2x2 − 24x + 72;(v) p2 − 24p + 144; (vi) x3 − 12x2 + 36x.

Rewrite the expression in simplest terms.7x3−22x2−14x+5+(3x+4)×x2

A ball falls vertically after being dropped. The ball falls a distance d metres in a time of t seconds. d is directly proportional to the square of t.The ball falls 20 metres in a time of 2 seconds.The time (in seconds) that the ball takes to fall 605 m is

14. A Circle of radius 2 unit lies in the first quadrant and touches both the axes of coordinates equation of circle with the centre 6,5 and touching the above circle externally

If 21y5 is multiple of 9, where y is a digit, what is the value of y.

Question 23Write the correct answer from the given four options.The value of √248+√52+√144 isa) 14b) 12c) 16d) 13

Find the number of triangular faces and rectangular faces in a kaleidoscope.

31. A point P inside the equilateral triangle ABC of side a has distance 3,4 and 5 from the vertices A,B,C respectively. If a= (k1 + K2(k3)) then (k1) + (K2/k3) is equal to

What is slope of equation of straight line ky=mx+kc, where m,k & c are constants?