24740 + Interview Questions in Mathematics Page 90 InterviewSolution

4451.	Why x raise to the power 0 is equal to 1?
Answer» Why x raise to the power 0 is equal to 1?

Discussion

4452.	In an equation of line y = 0, if y co-ordinate is zero, then value of x co-ordinate is:
Answer» In an equation of line y = 0, if y co-ordinate is zero, then value of x co-ordinate is:

Discussion

4453.	Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Answer» Two cubes, each of volume 512 cm³are joined end to end. Find the surface area of the resulting cuboid.

Discussion

4454.	The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____.
Answer» The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____.

Discussion

4455.	Question 135 In a rectangle ABCD, AB = 25 cm and BC = 15 cm. In what ratio, does the bisector of ∠C divide AB?
Answer» Question 135 In a rectangle ABCD, AB = 25 cm and BC = 15 cm. In what ratio, does the bisector of $∠ C$ divide AB?

Discussion

4456.	Explain, how irrational numbers differ from rational numbers?
Answer» Explain, how irrational numbers differ from rational numbers?

Discussion

4457.	Find the value k if x − 3 is a factor of k2x3 − kx2 + 3kx − k.
Answer» Find the value k if x − 3 is a factor of k²x³ − kx² + 3kx − k.

Discussion

4458.	What is the highest degree of x in a linear equation?
Answer» What is the highest degree of x in a linear equation?

Discussion

4459.	If perpendiculars from any point within an angle on its arms are congruent, prove that it lies on the bisector of that angle.
Answer» If perpendiculars from any point within an angle on its arms are congruent, prove that it lies on the bisector of that angle.

Discussion

4460.	The set of all Integers less than 4 can be written in Roster form as:
Answer» The set of all Integers less than $4$ can be written in Roster form as:

Discussion

4461.	Question 178(i)If a = -1, b = 2, then find the value of the following.ab+ba
Answer» Question 178(i) If a = -1, b = 2, then find the value of the following. $a^{b} + b^{a}$

4461.

Question 178(i)If a = -1, b = 2, then find the value of the following.ab+ba

Answer»

Question 178(i)

If a = -1, b = 2, then find the value of the following.

$a^{b} + b^{a}$

Discussion

4462.	Question 2 (iv) Write True or False: Give reasons for your answers. (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
Answer» Question 2 (iv) Write True or False: Give reasons for your answers. (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

Discussion

4463.	Solve 22x+2 − 6 × 2x + 2 = 0
Answer» Solve $2^{2 x + 2} - 6 \times 2^{x} + 2 = 0$

Discussion

4464.	In ΔPQR, if ∠R>∠Q, then(a) QR > PR(b) PQ > PR(c) PQ < PR(d) QR < PR
Answer» In ΔPQR, if $∠ R > ∠ Q$ , then (a) QR > PR (b) PQ > PR (c) PQ < PR (d) QR < PR

Discussion

4465.	Draw a frequency polygon for the following frequency distribution: Class interval1−1011−2021−3031−4041−5051−60Frequency8361227
Answer» Draw a frequency polygon for the following frequency distribution: $\begin{matrix} Class interval & 1 - 10 & 11 - 20 & 21 - 30 & 31 - 40 & 41 - 50 & 51 - 60 Frequency & 8 & 3 & 6 & 12 & 2 & 7 \end{matrix}$

Discussion

4466.	Question 8(b)Convert into mole:(b) 20 g of water
Answer» Question 8(b) Convert into mole: (b) 20 g of water

Discussion

4467.	The bookkeeper of a firm found that his Trial Balance was out (excess credit) by ₹ 742. He placed the amount in a Suspense Account and subsequently found the following errors:(i) A discount of ₹ 178 was allowed to Ramesh but in his account only ₹ 100 is recorded.(ii) The total of the Purchases Book was ₹ 1,000 short.(iii) A sale of ₹ 375 to Kohli was entered in the Sales Book as ₹ 735.(iv) From the Purchases Book, Bose’s Account was debited with ₹ 175.(v) Cash ₹ 250 received from Maitra against debt previously written off was credited to his account.(vi) Purchase of office furniture worth ₹ 750 on credit from Delhi Furnitures was entered in the Purchases Book.(vii) While carrying forward the total of the Sales Book from one page to another the amount of ₹ 11,358 was written as ₹ 11,538.(viii) The proprietor took goods of the value of ₹ 150 for his domestic consumption. No record of it has been made in the books.(ix) Repairs bill of ₹ 410 for the proprietor’s personal car, has been paid by the firm and debited to the Repairs Account.(x) A sale to Kassim of ₹ 700 has been entered in the Purchases Book.Rectify the errors by means of suitable Journal entries and show the Suspense Account.
Answer» The bookkeeper of a firm found that his Trial Balance was out (excess credit) by ₹ 742. He placed the amount in a Suspense Account and subsequently found the following errors: (i) A discount of ₹ 178 was allowed to Ramesh but in his account only ₹ 100 is recorded. (ii) The total of the Purchases Book was ₹ 1,000 short. (iii) A sale of ₹ 375 to Kohli was entered in the Sales Book as ₹ 735. (iv) From the Purchases Book, Bose’s Account was debited with ₹ 175. (v) Cash ₹ 250 received from Maitra against debt previously written off was credited to his account. (vi) Purchase of office furniture worth ₹ 750 on credit from Delhi Furnitures was entered in the Purchases Book. (vii) While carrying forward the total of the Sales Book from one page to another the amount of ₹ 11,358 was written as ₹ 11,538. (viii) The proprietor took goods of the value of ₹ 150 for his domestic consumption. No record of it has been made in the books. (ix) Repairs bill of ₹ 410 for the proprietor’s personal car, has been paid by the firm and debited to the Repairs Account. (x) A sale to Kassim of ₹ 700 has been entered in the Purchases Book. Rectify the errors by means of suitable Journal entries and show the Suspense Account.

Discussion

4468.	The length of a cuboid is twice its breadth.The breadth is twice its height.Find the ratio of the lateral surface area to the total surface area of the cuboid.Given that the height of the cuboid is 2 cm
Answer» The length of a cuboid is twice its breadth.The breadth is twice its height.Find the ratio of the lateral surface area to the total surface area of the cuboid.Given that the height of the cuboid is 2 cm

Discussion

4469.	The area of a triangle with base 4 cm and height 6 cm is __________.
Answer» The area of a triangle with base 4 cm and height 6 cm is __________.

Discussion

4470.	The radius of the circle is 7 cm and the angle subtended by the arc is 60°. If the area of ΔOAB is 21 cm2, then find the area of segment ABP.
Answer» The radius of the circle is 7 cm and the angle subtended by the arc is 60°. If the area of $Δ$ OAB is $21 c m^{2}$ , then find the area of segment ABP.

Discussion

4471.	Find the value of sin(15o)
Answer» Find the value of $sin (15^{o})$

Discussion

4472.

To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following table: Opinion: Like Dislike Number of students: 135 65 Find the probability that a student chosen at random (i) likes Mathematics (ii) does not like it.

Answer» To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following table:

Opinion:	Like	Dislike
Number of students:	135	65

Find the probability that a student chosen at random (i) likes Mathematics (ii) does not like it.

Discussion

4473.	Two triangles DEF and GHK are such that ∠D=48o and ∠H=57o. If ΔDEF∼ΔGHK then find the measure of ∠F.
Answer» Two triangles DEF and GHK are such that $∠ D = 48^{o} a n d ∠ H = 57^{o}$ . If $Δ D E F \sim Δ G H K$ then find the measure of $∠ F$ .

Discussion

4474.	Given below is the concentration of SO2 in air (in ppm = parts per million) in 30 localities:SO2 concentration (in ppm)Number of localities0.00−0.0440.04−0.0890.08−0.1290.12−0.1620.16−0.2040.20−0.242Find the mean of SO2 concentration using assumed - mean method.0.099
Answer» Given below is the concentration of SO₂ in air (in ppm = parts per million) in 30 localities: $\begin{matrix} S O_{2} concentration (in ppm) & Number of localities 0.00 - 0.04 & 4 0.04 - 0.08 & 9 0.08 - 0.12 & 9 0.12 - 0.16 & 2 0.16 - 0.20 & 4 0.20 - 0.24 & 2 \end{matrix}$ Find the mean of $S O_{2}$ concentration using assumed - mean method. 0.099

Discussion

4475.	If 81y=93y, find y.
Answer» If $81^{y} = \frac{9}{3^{y}}$ , find y.

Discussion

4476.	If a planar region formed by a figure N-shaped is made up of 3 non-overlapping planar regions formed by figures A, J and U, then what will be Area(N)?
Answer» If a planar region formed by a figure N-shaped is made up of 3 non-overlapping planar regions formed by figures A, J and U, then what will be Area(N)?

4476.

If a planar region formed by a figure N-shaped is made up of 3 non-overlapping planar regions formed by figures A, J and U, then what will be Area(N)?

Answer»

If a planar region formed by a figure N-shaped is made up of 3 non-overlapping planar regions formed by figures A, J and U, then what will be Area(N)?

Discussion

4477.	What is the area of a right triangle that has a height of 3 inches and a hypotenuse of 5 inches?
Answer» What is the area of a right triangle that has a height of 3 inches and a hypotenuse of 5 inches?

Discussion

4478.	If the value of K, of 1 M HCN is 10-5 then its degreeof dissociation in 0.1 M HCI will be (a< 1)(1) 10-5(2) 10-4(3) 10-3( 4 )10-2
Answer» If the value of K, of 1 M HCN is 10-5 then its degreeof dissociation in 0.1 M HCI will be (a< 1)(1) 10-5(2) 10-4(3) 10-3( 4 )10-2

Discussion

4479.	The total surface area of a hemisphere of radius r is(a) πr2(b) 2πr2(c) 3πr2(d) 4πr2
Answer» The total surface area of a hemisphere of radius r is (a) ${πr}^{2}$ (b) 2 ${πr}^{2}$ (c) 3 ${πr}^{2}$ (d) 4 ${πr}^{2}$

Discussion

4480.	In the given figure, □ABCD is a parallelogram. Point E is on the ray AB such that BE = AB then prove that line ED bisects seg BC at point F.
Answer» In the given figure, $□$ ABCD is a parallelogram. Point E is on the ray AB such that BE = AB then prove that line ED bisects seg BC at point F.

Discussion

4481.	Where is the parallelogram method of vector product.??
Answer» Where is the parallelogram method of vector product.??

Discussion

4482.	Q.19. From a solid cylinder of height 7cm and base diameter 12 cm, a conical cavity of sameheight and same base diameter is hollowed out. Find the total surface area of the remaningsolid. \lbrack Use It-Or
Answer» Q.19. From a solid cylinder of height 7cm and base diameter 12 cm, a conical cavity of sameheight and same base diameter is hollowed out. Find the total surface area of the remaningsolid. \lbrack Use It-Or

Discussion

4483.	In the given figure, the chord AB of the larger of the two concentric circles, with centre O, touches the smaller circle at C. Prove that AC = CB.
Answer» In the given figure, the chord AB of the larger of the two concentric circles, with centre O, touches the smaller circle at C. Prove that AC = CB.

Discussion

4484.	Pass Journal entries to rectify the errors in the following cases:(i) A purchase of goods from David amounting to ₹ 150 has been wrongly passed through the Sales Book.(ii) A credit sale of goods of ₹ 120 to Peter has been wrongly passed through the Purchases Book.(iii) ₹ 200, salary paid to Cashier, B. Naidu, stands wrongly debited to his Personal Account.(iv) A credit sales of ₹ 4,230 to Krishan entered as purchase from Kishan ₹ 4,320.(v) Ramesh's Account was credited with ₹ 840 twice instead of once.
Answer» Pass Journal entries to rectify the errors in the following cases: (i) A purchase of goods from David amounting to ₹ 150 has been wrongly passed through the Sales Book. (ii) A credit sale of goods of ₹ 120 to Peter has been wrongly passed through the Purchases Book. (iii) ₹ 200, salary paid to Cashier, B. Naidu, stands wrongly debited to his Personal Account. (iv) A credit sales of ₹ 4,230 to Krishan entered as purchase from Kishan ₹ 4,320. (v) Ramesh's Account was credited with ₹ 840 twice instead of once.

Discussion

4485.	Burst the bubble if the rational number is terminating.
Answer» Burst the bubble if the rational number is terminating.

Discussion

4486.	How will you prove that the construction for a triangle with the given conditions is right?Given conditions: Base length BC is given, base angle B is given, and difference of the other two sides is given (AB-AC) where AB is greater than AC. For going about the construction, I drew the base length BC, drew the ray BX with angle XBC known to me. Taking B as centre and radius equal to (AB-AC) I cut an arc on the ray BX intersecting it at point D. I then joined D to C. Then drew the perpendicular bisector of the line segment DC and named the point of intersection of this perpendicular bisector and the ray BX as A. Joined A to C and the triangle ABC was readyWhich of the following statements gives the best explanation to this construction?
Answer» How will you prove that the construction for a triangle with the given conditions is right? Given conditions: Base length BC is given, base angle B is given, and difference of the other two sides is given (AB-AC) where AB is greater than AC. For going about the construction, I drew the base length BC, drew the ray BX with angle XBC known to me. Taking B as centre and radius equal to (AB-AC) I cut an arc on the ray BX intersecting it at point D. I then joined D to C. Then drew the perpendicular bisector of the line segment DC and named the point of intersection of this perpendicular bisector and the ray BX as A. Joined A to C and the triangle ABC was ready Which of the following statements gives the best explanation to this construction?

4486.

How will you prove that the construction for a triangle with the given conditions is right?Given conditions: Base length BC is given, base angle B is given, and difference of the other two sides is given (AB-AC) where AB is greater than AC. For going about the construction, I drew the base length BC, drew the ray BX with angle XBC known to me. Taking B as centre and radius equal to (AB-AC) I cut an arc on the ray BX intersecting it at point D. I then joined D to C. Then drew the perpendicular bisector of the line segment DC and named the point of intersection of this perpendicular bisector and the ray BX as A. Joined A to C and the triangle ABC was readyWhich of the following statements gives the best explanation to this construction?

Answer»

How will you prove that the construction for a triangle with the given conditions is right?

Given conditions: Base length BC is given, base angle B is given, and difference of the other two sides is given (AB-AC) where AB is greater than AC. For going about the construction, I drew the base length BC, drew the ray BX with angle XBC known to me. Taking B as centre and radius equal to (AB-AC) I cut an arc on the ray BX intersecting it at point D. I then joined D to C. Then drew the perpendicular bisector of the line segment DC and named the point of intersection of this perpendicular bisector and the ray BX as A. Joined A to C and the triangle ABC was ready

Which of the following statements gives the best explanation to this construction?

Discussion

4487.	The probability of guessing the correct answer to a certain questions is x2. If the probability of not guessing the correct answer to the question is 23, then x is:(a) 43(b) 34(c) 23(d) 13
Answer» The probability of guessing the correct answer to a certain questions is $\frac{x}{2}$ . If the probability of not guessing the correct answer to the question is $\frac{2}{3}$ , then x is: (a) $\frac{4}{3}$ (b) $\frac{3}{4}$ (c) $\frac{2}{3}$ (d) $\frac{1}{3}$

Discussion

4488.	1 amu is equal to
Answer» 1 amu is equal to

Discussion

4489.	Express 12 and 14 on the number lines.
Answer» Express $\frac{1}{2}$ and $\frac{1}{4}$ on the number lines.

Discussion

4490.	Question 7O is the circumcentre of the ΔABC and D is the mid-point of the base BC. Prove that ∠BOD=∠A.
Answer» Question 7 O is the circumcentre of the $Δ A B C$ and D is the mid-point of the base BC. Prove that $∠ B O D = ∠ A$ .

Discussion

4491.	Point (4,0) lies in/on ....
Answer» Point (4,0) lies in/on ....

Discussion

4492.	The surface area of a cube of edges 0.1 m.
Answer» The surface area of a cube of edges 0.1 m.

Discussion

4493.	Prove that the area of the parallelogram PVRT is PT × RQ.
Answer» Prove that the area of the parallelogram PVRT is PT × RQ.

4493.

Prove that the area of the parallelogram PVRT is PT × RQ.

Answer»

Prove that the area of the parallelogram PVRT is PT × RQ.

Discussion

4494.	Question 5 Two circles with centers O and O’ of radii 3 cm and 4 cm , respectively intersect at two points P and Q, such that OP and O’P are tangents to the two circles. Find the length of the common chord PQ.
Answer» Question 5 Two circles with centers O and O’ of radii 3 cm and 4 cm , respectively intersect at two points P and Q, such that OP and O’P are tangents to the two circles. Find the length of the common chord PQ.

Discussion

4495.	In the following figure the side QR of Δ PQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at a point T, then prove that ∠QTR = 12∠QPR.
Answer» In the following figure the side QR of Δ PQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at a point T, then prove that ∠QTR = $\frac{1}{2}$ ∠QPR.

Discussion

4496.	If √2=1.414, then find the value of √6−√3 upto three places of decimal.
Answer» If $\sqrt{2} = 1.414,$ then find the value of $\sqrt{6} - \sqrt{3}$ upto three places of decimal.

Discussion

4497.	In figure, ∠RST=56∘, seg PT ⊥ ray ST, seg PR ⊥ ray SR and seg PR ≅ seg PT. Find the measure of ∠RSP. State thr reason for your answer.
Answer» In figure, $∠ R S T = 56^{\circ},$ seg PT $⊥$ ray ST, seg PR $⊥$ ray SR and seg PR $≅$ seg PT. Find the measure of $∠$ RSP. State thr reason for your answer.

Discussion

4498.	What value of y would make AOB, a line in the figure, if ∠AOC=4y and ∠BOC=(6y+30).
Answer» What value of y would make AOB, a line in the figure, if $∠ A O C = 4 y$ and $∠ B O C = (6 y + 30)$ .

4498.

What value of y would make AOB, a line in the figure, if ∠AOC=4y and ∠BOC=(6y+30).

Answer»

What value of y would make AOB, a line in the figure, if $∠ A O C = 4 y$ and $∠ B O C = (6 y + 30)$ .

Discussion

4499.	A right circular cylinder and a sphere have the same volume and same radius. The ratio of the areas of their curved surfaces is ________.
Answer» A right circular cylinder and a sphere have the same volume and same radius. The ratio of the areas of their curved surfaces is ________.

Discussion

4500.	ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles.
Answer» ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles.

Discussion

Explore topic-wise InterviewSolutions in .

Why x raise to the power 0 is equal to 1?

In an equation of line y = 0, if y co-ordinate is zero, then value of x co-ordinate is:

Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.

The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____.

Question 135 In a rectangle ABCD, AB = 25 cm and BC = 15 cm. In what ratio, does the bisector of ∠C divide AB?

Explain, how irrational numbers differ from rational numbers?

Find the value k if x − 3 is a factor of k2x3 − kx2 + 3kx − k.

What is the highest degree of x in a linear equation?

If perpendiculars from any point within an angle on its arms are congruent, prove that it lies on the bisector of that angle.

The set of all Integers less than 4 can be written in Roster form as:

Question 178(i)If a = -1, b = 2, then find the value of the following.ab+ba

Question 2 (iv) Write True or False: Give reasons for your answers. (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

Solve 22x+2 − 6 × 2x + 2 = 0

In ΔPQR, if ∠R&gt;∠Q, then(a) QR > PR(b) PQ > PR(c) PQ < PR(d) QR < PR

Draw a frequency polygon for the following frequency distribution: Class interval1−1011−2021−3031−4041−5051−60Frequency8361227

Question 8(b)Convert into mole:(b) 20 g of water

The length of a cuboid is twice its breadth.The breadth is twice its height.Find the ratio of the lateral surface area to the total surface area of the cuboid.Given that the height of the cuboid is 2 cm

The area of a triangle with base 4 cm and height 6 cm is __________.

The radius of the circle is 7 cm and the angle subtended by the arc is 60°. If the area of ΔOAB is 21 cm2, then find the area of segment ABP.

Find the value of sin(15o)

To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following table: Opinion: Like Dislike Number of students: 135 65 Find the probability that a student chosen at random (i) likes Mathematics (ii) does not like it.

Two triangles DEF and GHK are such that ∠D=48o and ∠H=57o. If ΔDEF∼ΔGHK then find the measure of ∠F.

Given below is the concentration of SO2 in air (in ppm = parts per million) in 30 localities:SO2 concentration (in ppm)Number of localities0.00−0.0440.04−0.0890.08−0.1290.12−0.1620.16−0.2040.20−0.242Find the mean of SO2 concentration using assumed - mean method.0.099

If 81y=93y, find y.

If a planar region formed by a figure N-shaped is made up of 3 non-overlapping planar regions formed by figures A, J and U, then what will be Area(N)?

What is the area of a right triangle that has a height of 3 inches and a hypotenuse of 5 inches?

If the value of K, of 1 M HCN is 10-5 then its degreeof dissociation in 0.1 M HCI will be (a< 1)(1) 10-5(2) 10-4(3) 10-3( 4 )10-2

The total surface area of a hemisphere of radius r is(a) πr2(b) 2πr2(c) 3πr2(d) 4πr2

In the given figure, □ABCD is a parallelogram. Point E is on the ray AB such that BE = AB then prove that line ED bisects seg BC at point F.

Where is the parallelogram method of vector product.??

Q.19. From a solid cylinder of height 7cm and base diameter 12 cm, a conical cavity of sameheight and same base diameter is hollowed out. Find the total surface area of the remaningsolid. \lbrack Use It-Or

In the given figure, the chord AB of the larger of the two concentric circles, with centre O, touches the smaller circle at C. Prove that AC = CB.

Burst the bubble if the rational number is terminating.

The probability of guessing the correct answer to a certain questions is x2. If the probability of not guessing the correct answer to the question is 23, then x is:(a) 43(b) 34(c) 23(d) 13

1 amu is equal to

Express 12 and 14 on the number lines.

Question 7O is the circumcentre of the ΔABC and D is the mid-point of the base BC. Prove that ∠BOD=∠A.

Point (4,0) lies in/on ....

The surface area of a cube of edges 0.1 m.

Prove that the area of the parallelogram PVRT is PT × RQ.

Question 5 Two circles with centers O and O’ of radii 3 cm and 4 cm , respectively intersect at two points P and Q, such that OP and O’P are tangents to the two circles. Find the length of the common chord PQ.

In the following figure the side QR of Δ PQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at a point T, then prove that ∠QTR = 12∠QPR.

If √2=1.414, then find the value of √6−√3 upto three places of decimal.

In figure, ∠RST=56∘, seg PT ⊥ ray ST, seg PR ⊥ ray SR and seg PR ≅ seg PT. Find the measure of ∠RSP. State thr reason for your answer.

What value of y would make AOB, a line in the figure, if ∠AOC=4y and ∠BOC=(6y+30).

A right circular cylinder and a sphere have the same volume and same radius. The ratio of the areas of their curved surfaces is ________.

ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles.

In ΔPQR, if ∠R>∠Q, then(a) QR > PR(b) PQ > PR(c) PQ < PR(d) QR < PR