24740 + Interview Questions in Mathematics Page 5 InterviewSolution

201.	The value of tan(1∘) + tan(89∘) is
Answer» The value of $t a n (1^{\circ}) + t a n (89^{\circ})$ is

Discussion

202.

Change from singular to plural by addinges, ies and vesFor example: buffalo buffaloes baby babies knife knives hero fly wolf potato lady loaf __

Answer» Change from singular to plural by adding

es, ies and ves

For example:

buffalo	buffaloes	baby	babies	knife	knives
hero	__________	fly	__________	wolf	__________
potato	____________	lady	__________	loaf	__________

Discussion

203.	Question 34A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is___.
Answer» Question 34 A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is___.

203.

Question 34A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is___.

Answer»

Question 34

A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is___.

Discussion

204.	A solid cylinder has total surface area of 462 cm2. Its curved surface area is one-third of its total surface area. find the radius and height of the cylinder.
Answer» A solid cylinder has total surface area of 462 cm². Its curved surface area is one-third of its total surface area. find the radius and height of the cylinder.

Discussion

205.	Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is (A) (B) (C) (D)
Answer» Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is (A) (B) (C) (D)

Discussion

206.	Question 139The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1 : 2. Can it be a parallelogram? Why or why not?
Answer» Question 139 The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1 : 2. Can it be a parallelogram? Why or why not?

Discussion

207.	What is the area of the parallelogram whose base is 6 cm and height is 4 cm long?
Answer» What is the area of the parallelogram whose base is $6 c m$ and height is $4 c m$ long?

Discussion

208.	If one angle of a parallelogram is twice of its adjacent angle, find the angles of the parallelogram.
Answer» If one angle of a parallelogram is twice of its adjacent angle, find the angles of the parallelogram.

Discussion

209.	If the line represented by the equation 3x + αy = 8 passes through the points (2,2), then the value of α is
Answer» If the line represented by the equation 3x + αy = 8 passes through the points (2,2), then the value of α is

Discussion

210.	Find the equation of the circle which passes through the points1,1) (2,2) an whose radius is 1.
Answer» Find the equation of the circle which passes through the points1,1) (2,2) an whose radius is 1.

Discussion

211.	ABC is a triangle, D is a point on AB such that AD = 14 AB and E is a point on AC such that AE = 14 AC. Prove that DE = 14 BC.
Answer» ABC is a triangle, D is a point on AB such that AD = $\frac{1}{4}$ AB and E is a point on AC such that AE = $\frac{1}{4}$ AC. Prove that DE = $\frac{1}{4}$ BC.

Discussion

212.	Two arcs APB and CQD of a circle are in the ratio 5 :7. The angle subtended by arc CQD at the centre is ___ degrees
Answer» Two arcs APB and CQD of a circle are in the ratio 5 :7. The angle subtended by arc CQD at the centre is ___ degrees

Discussion

213.	On 1st April, 2016, B accepts a bill drawn by A at three months for ₹ 8,000 in payment of debt. On the due date the acceptance is dishonoured and A gets the bill noted paying ₹ 100. On 4th July, 2016 A draws a new bill payable after 73 days provided interest is paid in cash 15% p.a. To this B is agreeable. The bill is met on maturity.Record these transactions in the Journal of both the parties.
Answer» On 1st April, 2016, B accepts a bill drawn by A at three months for ₹ 8,000 in payment of debt. On the due date the acceptance is dishonoured and A gets the bill noted paying ₹ 100. On 4th July, 2016 A draws a new bill payable after 73 days provided interest is paid in cash 15% p.a. To this B is agreeable. The bill is met on maturity. Record these transactions in the Journal of both the parties.

Discussion

214.	Question 86 (iv)Using suitable identities, evaluate the following:(98)2
Answer» Question 86 (iv) Using suitable identities, evaluate the following: $(98)^{2}$

214.

Question 86 (iv)Using suitable identities, evaluate the following:(98)2

Answer»

Question 86 (iv)

Using suitable identities, evaluate the following:

$(98)^{2}$

Discussion

215.	If x=2+3, find the value of x+1x.
Answer» If $x = 2 + \sqrt{3}$ , find the value of $x + \frac{1}{x}$ .

Discussion

216.	Question 1 (i) Write36100 in decimal form and say what kind of decimal expansion it has.
Answer» Question 1 (i) Write $\frac{36}{100}$ in decimal form and say what kind of decimal expansion it has.

Discussion

217.	In the following figure, if AC = BD, then prove that AB = CD.
Answer» In the following figure, if AC = BD, then prove that AB = CD.

217.

In the following figure, if AC = BD, then prove that AB = CD.

Answer»

In the following figure, if AC = BD, then prove that AB = CD.

Discussion

218.	Question 3(i)Simplify:(x2−5)(x+5)+25
Answer» Question 3(i) Simplify: $(x^{2} - 5) (x + 5) + 25$

Discussion

219.	0, 2, 6, 6, 12, 10, ?Find ?
Answer» 0, 2, 6, 6, 12, 10, ? Find ?

Discussion

220.	If the sum of two consecutive natural numbers is 25, then the smaller number is .
Answer» If the sum of two consecutive natural numbers is 25, then the smaller number is .

Discussion

221.	Sum of two numbers is 35 and their difference is 13. Find the smaller number.11
Answer» Sum of two numbers is 35 and their difference is 13. Find the smaller number. 11

Discussion

222.	The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]
Answer» The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]

Discussion

223.	6 hectare = _______ sq. meter.
Answer» 6 hectare = _______ sq. meter.

Discussion

224.	Five numbers are in continued proportion. The first number is 5 and the last number is 80. Find the third number.
Answer» Five numbers are in continued proportion. The first number is 5 and the last number is 80. Find the third number.

Discussion

225.	Factorize: 9(2a−b)2−4(2a−b)−13
Answer» Factorize: $9 (2 a - b)^{2} - 4 (2 a - b) - 13$

225.

Factorize: 9(2a−b)2−4(2a−b)−13

Answer»

Factorize:

$9 (2 a - b)^{2} - 4 (2 a - b) - 13$

Discussion

226.	The value of (√3+√2)2 is equal to ____.
Answer» The value of $(\sqrt{3} + \sqrt{2})^{2}$ is equal to ____.

Discussion

227.	Question 1 (i)ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:SR \|\| AC and SR = 12AC.
Answer» Question 1 (i) ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: SR \|\| AC and SR = $\frac{1}{2}$ AC.

Discussion

228.	From the given images, select the image that shows half of the chocolate bar.
Answer» From the given images, select the image that shows half of the chocolate bar.

Discussion

229.	If both x − 2 and x-12 are factors of px2 + 5x + r, then(a) p = r(b) p + r = 0(c) 2p + r = 0(d) p + 2r = 0
Answer» If both x − 2 and $x - \frac{1}{2}$ are factors of px² + 5x + r, then (a) p = r (b) p + r = 0 (c) 2p + r = 0 (d) p + 2r = 0

Discussion

230.	One angle is equal to three times its supplement. The measure of the angle is(a) 130°(b) 135°(c) 90°(d) 120°
Answer» One angle is equal to three times its supplement. The measure of the angle is (a) 130° (b) 135° (c) 90° (d) 120°

Discussion

231.	If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that ar(EFGH)=12ar(ABCD) [4 MARKS]
Answer» If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that $a r (E F G H) = \frac{1}{2} a r (A B C D)$ [4 MARKS]

Discussion

232.	If cos^(-1)y=sin^(-1)x then the locus of (x y) is (1) Circle (2) Half circle (3) Quarter circle (4) Straight line
Answer» If cos^(-1)y=sin^(-1)x then the locus of (x y) is (1) Circle (2) Half circle (3) Quarter circle (4) Straight line

Discussion

233.	Given are the steps of construction for constructing a triangle ABC whose base length is given say BC, one of the base angles is given, say ∠ B and the difference between the other two sides is also given (AB – AC) considering AB > AC.Pinku was asked to give the steps of construction for the same. He had mugged up all the steps of construction but forgot one point in between. Following are those steps of construction, let’s see if you can help Pinku with the missing step.Steps of construction:Draw the base BC and at point B make an angle say XBC equal to the given angle. Cut the line segment BD equal to (AB – AC) from ray BX. Let it intersect BX at a point A. Join ACWhich of the following do you think is the missing step of this construction?
Answer» Given are the steps of construction for constructing a triangle ABC whose base length is given say BC, one of the base angles is given, say $∠$ B and the difference between the other two sides is also given (AB – AC) considering AB $>$ AC. Pinku was asked to give the steps of construction for the same. He had mugged up all the steps of construction but forgot one point in between. Following are those steps of construction, let’s see if you can help Pinku with the missing step. Steps of construction: Draw the base BC and at point B make an angle say XBC equal to the given angle. Cut the line segment BD equal to (AB – AC) from ray BX. Let it intersect BX at a point A. Join AC Which of the following do you think is the missing step of this construction?

233.

Given are the steps of construction for constructing a triangle ABC whose base length is given say BC, one of the base angles is given, say ∠ B and the difference between the other two sides is also given (AB – AC) considering AB > AC.Pinku was asked to give the steps of construction for the same. He had mugged up all the steps of construction but forgot one point in between. Following are those steps of construction, let’s see if you can help Pinku with the missing step.Steps of construction:Draw the base BC and at point B make an angle say XBC equal to the given angle. Cut the line segment BD equal to (AB – AC) from ray BX. Let it intersect BX at a point A. Join ACWhich of the following do you think is the missing step of this construction?

Answer»

Given are the steps of construction for constructing a triangle ABC whose base length is given say BC, one of the base angles is given, say $∠$ B and the difference between the other two sides is also given (AB – AC) considering AB $>$ AC.

Pinku was asked to give the steps of construction for the same. He had mugged up all the steps of construction but forgot one point in between. Following are those steps of construction, let’s see if you can help Pinku with the missing step.

Steps of construction:

Draw the base BC and at point B make an angle say XBC equal to the given angle. Cut the line segment BD equal to (AB – AC) from ray BX. Let it intersect BX at a point A. Join AC

Which of the following do you think is the missing step of this construction?

Discussion

234.	25. If one zero of the polynomial (a2+9)x2 + 13x + 6a is reciprocal of the other,find the value of a
Answer» 25. If one zero of the polynomial (a2+9)x2 + 13x + 6a is reciprocal of the other,find the value of a

Discussion

235.	Question 8 (i) Fig. 12.26 depicts a racing track whose left and right ends are semi-circular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find: (i) The distance around the track along its inner edge
Answer» Question 8 (i) Fig. 12.26 depicts a racing track whose left and right ends are semi-circular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find: (i) The distance around the track along its inner edge

Discussion

236.	A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is(a) 12 cm(b) 14 cm(c) 16 cm(d) 18 cm
Answer» A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is (a) 12 cm (b) 14 cm (c) 16 cm (d) 18 cm

Discussion

237.	Identify the bar having maximum frequency in the given histogram?
Answer» Identify the bar having maximum frequency in the given histogram?

Discussion

238.	In a quadrilateral PQRS, opposite angles are equal. If SR = 2 cm and PR = 5 cm then determine PQ.
Answer» In a quadrilateral PQRS, opposite angles are equal. If SR = 2 cm and PR = 5 cm then determine PQ.

Discussion

239.	in the trapezium ABCD AB // DC and Angle A = Angle B. prove that AB = BC brainly
Answer» in the trapezium ABCD AB // DC and Angle A = Angle B. prove that AB = BC brainly

Discussion

240.	The storekeeper was very happy to get a solution to his problem. When Jack told this story to Jacob, he was so curious to know how Jack solved the problem of the storekeeper. Then Jack explained the concept of mode to Jacob. Mode of a data set is-
Answer» The storekeeper was very happy to get a solution to his problem. When Jack told this story to Jacob, he was so curious to know how Jack solved the problem of the storekeeper. Then Jack explained the concept of mode to Jacob. Mode of a data set is-

240.

The storekeeper was very happy to get a solution to his problem. When Jack told this story to Jacob, he was so curious to know how Jack solved the problem of the storekeeper. Then Jack explained the concept of mode to Jacob. Mode of a data set is-

Answer»

The storekeeper was very happy to get a solution to his problem. When Jack told this story to Jacob, he was so curious to know how Jack solved the problem of the storekeeper. Then Jack explained the concept of mode to Jacob.

Mode of a data set is-

Discussion

241.	Which polynomial is to be subtracted from x2 + 13x + 7 to get the polynomial 3x2 + 5x - 4?
Answer» Which polynomial is to be subtracted from x² + 13x + 7 to get the polynomial 3x²+ 5x - 4?

Discussion

242.	If the curved surface area of a right circular cylinder of height 14 cm is 616 cm2. Its volume is
Answer» If the curved surface area of a right circular cylinder of height 14 cm is 616 cm². Its volume is

Discussion

243.	A plane left 30 minutes later than the schedule time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed. [4 MARKS]
Answer» A plane left 30 minutes later than the schedule time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed. [4 MARKS]

Discussion

244.	Factorise: x3−5x2−x+5
Answer» Factorise: $x^{3} - 5 x^{2} - x + 5$

Discussion

245.	†ext { Let } a , b , c †ext { be the sides of a triangle and } A †ext { is its area. Prove that } a ^ { 2 } + b ^ { 2 } + c ^ { 2 } ≥ 4 \sqrt { 3 } A
Answer» †ext { Let } a , b , c †ext { be the sides of a triangle and } A †ext { is its area. Prove that } a ^ { 2 } + b ^ { 2 } + c ^ { 2 } ≥ 4 \sqrt { 3 } A

Discussion

246.	The partners of a firm, Alia, Bhanu and Chand distributed the profits for the year ended 31st March, 2017, ₹ 80,000 in the ratio of 3 : 3 : 2 without providing for the following adjustments:(a) Alia and Chand were entitled to a salary of ₹ 1,500 each p.a.(b) Bhanu was entitled for a commission of ₹ 4,000.(c) Bhanu and Chand had guaranteed a minimum profit of ₹ 35,000 p.a. to Alia any deficiency to borne equally by Bhanu and Chand.Pass the necessary Journal entry for the above adjustments in the books of the firm. Show workings clearly.
Answer» The partners of a firm, Alia, Bhanu and Chand distributed the profits for the year ended 31st March, 2017, ₹ 80,000 in the ratio of 3 : 3 : 2 without providing for the following adjustments: (a) Alia and Chand were entitled to a salary of ₹ 1,500 each p.a. (b) Bhanu was entitled for a commission of ₹ 4,000. (c) Bhanu and Chand had guaranteed a minimum profit of ₹ 35,000 p.a. to Alia any deficiency to borne equally by Bhanu and Chand. Pass the necessary Journal entry for the above adjustments in the books of the firm. Show workings clearly.

Discussion

247.	In quadrilateral ABCD the diagonals intersect at O and AB ∥ CD . The areas of triangles AOB and DOC are equal and altitude of △AOB = 5 cm. The area of triangle ABC is _______
Answer» In quadrilateral ABCD the diagonals intersect at O and AB $∥$ CD . The areas of triangles AOB and DOC are equal and altitude of $△$ AOB = 5 cm. The area of triangle ABC is _______

247.

In quadrilateral ABCD the diagonals intersect at O and AB ∥ CD . The areas of triangles AOB and DOC are equal and altitude of △AOB = 5 cm. The area of triangle ABC is _______

Answer»

In quadrilateral ABCD the diagonals intersect at O and AB $∥$ CD . The areas of triangles AOB and DOC are equal and altitude of $△$ AOB = 5 cm. The area of triangle ABC is _______

Discussion

248.	What is the value of the expression aman?
Answer» What is the value of the expression $\frac{a^{m}}{a^{n}}$ ?

Discussion

249.	ABC is an isosceles triangle with AB=AC AND BD,CE are it's two median . Show that BD=CE.
Answer» ABC is an isosceles triangle with AB=AC AND BD,CE are it's two median . Show that BD=CE.

Discussion

250.	If the area of the circle is 100 sq.cm and the area of the major segment is 70 sq.cm, then the area of the minor segment of a circle is .
Answer» If the area of the circle is 100 sq.cm and the area of the major segment is 70 sq.cm, then the area of the minor segment of a circle is .

Discussion

Explore topic-wise InterviewSolutions in .

The value of tan(1∘) + tan(89∘) is

Change from singular to plural by addinges, ies and vesFor example: buffalo buffaloes baby babies knife knives hero __________ fly __________ wolf __________ potato ____________ lady __________ loaf __________

Question 34A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is___.

A solid cylinder has total surface area of 462 cm2. Its curved surface area is one-third of its total surface area. find the radius and height of the cylinder.

Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is (A) (B) (C) (D)

Question 139The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1 : 2. Can it be a parallelogram? Why or why not?

What is the area of the parallelogram whose base is 6 cm and height is 4 cm long?

If one angle of a parallelogram is twice of its adjacent angle, find the angles of the parallelogram.

If the line represented by the equation 3x + αy = 8 passes through the points (2,2), then the value of α is

Find the equation of the circle which passes through the points1,1) (2,2) an whose radius is 1.

ABC is a triangle, D is a point on AB such that AD = 14 AB and E is a point on AC such that AE = 14 AC. Prove that DE = 14 BC.

Two arcs APB and CQD of a circle are in the ratio 5 :7. The angle subtended by arc CQD at the centre is ___ degrees

Question 86 (iv)Using suitable identities, evaluate the following:(98)2

If x=2+3, find the value of x+1x.

Question 1 (i) Write36100 in decimal form and say what kind of decimal expansion it has.

In the following figure, if AC = BD, then prove that AB = CD.

Question 3(i)Simplify:(x2−5)(x+5)+25

0, 2, 6, 6, 12, 10, ?Find ?

If the sum of two consecutive natural numbers is 25, then the smaller number is .

Sum of two numbers is 35 and their difference is 13. Find the smaller number.11

The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]

6 hectare = _______ sq. meter.

Five numbers are in continued proportion. The first number is 5 and the last number is 80. Find the third number.

Factorize: 9(2a−b)2−4(2a−b)−13

The value of (√3+√2)2 is equal to ____.

Question 1 (i)ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:SR || AC and SR = 12AC.

From the given images, select the image that shows half of the chocolate bar.

If both x − 2 and x-12 are factors of px2 + 5x + r, then(a) p = r(b) p + r = 0(c) 2p + r = 0(d) p + 2r = 0

One angle is equal to three times its supplement. The measure of the angle is(a) 130°(b) 135°(c) 90°(d) 120°

If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that ar(EFGH)=12ar(ABCD) [4 MARKS]

If cos^(-1)y=sin^(-1)x then the locus of (x y) is (1) Circle (2) Half circle (3) Quarter circle (4) Straight line

25. If one zero of the polynomial (a2+9)x2 + 13x + 6a is reciprocal of the other,find the value of a

Question 8 (i) Fig. 12.26 depicts a racing track whose left and right ends are semi-circular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find: (i) The distance around the track along its inner edge

A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is(a) 12 cm(b) 14 cm(c) 16 cm(d) 18 cm

Identify the bar having maximum frequency in the given histogram?

In a quadrilateral PQRS, opposite angles are equal. If SR = 2 cm and PR = 5 cm then determine PQ.

in the trapezium ABCD AB // DC and Angle A = Angle B. prove that AB = BC brainly

The storekeeper was very happy to get a solution to his problem. When Jack told this story to Jacob, he was so curious to know how Jack solved the problem of the storekeeper. Then Jack explained the concept of mode to Jacob. Mode of a data set is-

Which polynomial is to be subtracted from x2 + 13x + 7 to get the polynomial 3x2 + 5x - 4?

If the curved surface area of a right circular cylinder of height 14 cm is 616 cm2. Its volume is

A plane left 30 minutes later than the schedule time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed. [4 MARKS]

Factorise: x3−5x2−x+5

†ext { Let } a , b , c †ext { be the sides of a triangle and } A †ext { is its area. Prove that } a ^ { 2 } + b ^ { 2 } + c ^ { 2 } ≥ 4 \sqrt { 3 } A

In quadrilateral ABCD the diagonals intersect at O and AB ∥ CD . The areas of triangles AOB and DOC are equal and altitude of △AOB = 5 cm. The area of triangle ABC is _______

What is the value of the expression aman?

ABC is an isosceles triangle with AB=AC AND BD,CE are it's two median . Show that BD=CE.

If the area of the circle is 100 sq.cm and the area of the major segment is 70 sq.cm, then the area of the minor segment of a circle is .

Change from singular to plural by addinges, ies and vesFor example: buffalo buffaloes baby babies knife knives hero fly wolf potato lady loaf __