24740 + Interview Questions in Mathematics Page 139 InterviewSolution

6901.	Question 9 (iii)In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that:ΔAQB≅ΔCPD
Answer» Question 9 (iii) In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that: $Δ A Q B ≅ Δ C P D$

Discussion

6902.	Match List – I with List – II and select the correct answer using the codes given below the lists:PropertiesQuadrilateralsIn a parallelogram ABCDIf ∠D=115∘,then the measure of ∠A =68∘PQRS is a square such that PR and SQ intersect at Othen the measure of ∠POQ=58∘The diagonals of a rectangle ABCD meet at O. If ∠BOC=44∘,then the measure of ∠OAD = 90∘If ABCD is a rectangle with ∠BAC=32∘, then the measure of∠DBC is =65∘Choose the correct option:
Answer» Match List – I with List – II and select the correct answer using the codes given below the lists: $\begin{matrix} Properties & Quadrilaterals In a parallelogram ABCD If ∠ D = 115^{\circ},then the measure of ∠ A = & 68^{\circ} PQRS is a square such that PR and SQ intersect at O then the measure of ∠ P O Q = & 58^{\circ} The diagonals of a rectangle ABCD meet at O. If ∠ B O C = 44^{\circ}, then the measure of ∠ O A D = & 90^{\circ} If ABCD is a rectangle with ∠ B A C = 32^{\circ}, then the measure of ∠ D B C is = & 65^{\circ} \end{matrix}$ Choose the correct option:

Discussion

6903.	A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 4 months. What is the rate of simple interest per annum?
Answer» A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 4 months. What is the rate of simple interest per annum?

Discussion

6904.	What sum of money will amount to ₹ 3630 in 2 years at 10 % per annum compound interest ?
Answer» What sum of money will amount to ₹ 3630 in 2 years at 10 % per annum compound interest ?

Discussion

6905.	If (x,y) is a solution of system of equation[2174][xy]=[11], then which of the following is/are correct?
Answer» If $(x, y)$ is a solution of system of equation $[\begin{matrix} 2 & 1 7 & 4 \end{matrix}] [\begin{matrix} x y \end{matrix}] = [\begin{matrix} 11 \end{matrix}],$ then which of the following is/are correct?

Discussion

6906.	XY is a line parallel to side BC of a triangle ABC. If BE \|\| AC and CF \|\| AB meet XY at E and E respectively, show thatar (ABE) = ar (ACF)
Answer» XY is a line parallel to side BC of a triangle ABC. If BE \|\| AC and CF \|\| AB meet XY at E and E respectively, show that ar (ABE) = ar (ACF)

6906.

XY is a line parallel to side BC of a triangle ABC. If BE || AC and CF || AB meet XY at E and E respectively, show thatar (ABE) = ar (ACF)

Answer»

XY is a line parallel to side BC of a triangle ABC. If BE || AC and CF || AB meet XY at E and E respectively, show that

ar (ABE) = ar (ACF)

Discussion

6907.	Question 74In the following question, state whether the statement is True (T) or False (F):Factorised from of p2+30p+216 is (p + 18) (p - 12).
Answer» Question 74 In the following question, state whether the statement is True (T) or False (F): Factorised from of $p^{2} + 30 p + 216$ is (p + 18) (p - 12).

6907.

Question 74In the following question, state whether the statement is True (T) or False (F):Factorised from of p2+30p+216 is (p + 18) (p - 12).

Answer»

Question 74

In the following question, state whether the statement is True (T) or False (F):

Factorised from of $p^{2} + 30 p + 216$ is (p + 18) (p - 12).

Discussion

6908.	If A and B are any two empty sets and A is a proper subset of B. If cardinal number of A is 5 then minimum possible value of n (A Delta B) is
Answer» If A and B are any two empty sets and A is a proper subset of B. If cardinal number of A is 5 then minimum possible value of n (A Delta B) is

Discussion

6909.	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
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

Discussion

6910.	The red portion in the image is removed from the sphere to form a cavity. The centre of the base of the cylindrical cavity and the sphere are the same. If the radius of the sphere is 6 cm and the height and radius of the cavity are equal, what is the volume (in cm3) of the cavity?
Answer» The red portion in the image is removed from the sphere to form a cavity. The centre of the base of the cylindrical cavity and the sphere are the same. If the radius of the sphere is 6 cm and the height and radius of the cavity are equal, what is the volume (in $c m^{3}$ ) of the cavity?

Discussion

6911.	75% of 600
Answer» 75% of 600

Discussion

6912.	∆ABC ~ ∆LMN. In ∆ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. Construct ∆ABC and ∆LMN such that BCMN=54.
Answer» ∆ABC ~ ∆LMN. In ∆ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. Construct ∆ABC and ∆LMN such that $\frac{BC}{MN} = \frac{5}{4} .$

Discussion

6913.	Explain Remainder theorem
Answer» Explain Remainder theorem

Discussion

6914.	In the given figure, ABCD is a cyclic quadrilateral. Find the value of x.
Answer» In the given figure, ABCD is a cyclic quadrilateral. Find the value of x.

Discussion

6915.	92, 35, 67, 85, 72, 81, 56, 51, 42, 69
Answer» 92, 35, 67, 85, 72, 81, 56, 51, 42, 69

Discussion

6916.	the position of the point (8 -9) with respect to the lines 2x+3y-4=0 and 6x+9y+8=0 is
Answer» the position of the point (8 -9) with respect to the lines 2x+3y-4=0 and 6x+9y+8=0 is

Discussion

6917.

Draw a histogram for the daily earnings of 30 drug stores in the following table: Daily earning (in Rs): 450-500 500-550 550-600 600-650 650-700 Number of Stores: 16 10 7 3 1

Answer» Draw a histogram for the daily earnings of 30 drug stores in the following table:

Daily earning (in Rs):	450-500	500-550	550-600	600-650	650-700
Number of Stores:	16	10	7	3	1

Discussion

6918.	Question1Which of the following is not a ciriterion for congruence of triangles?(A) SAS(B) ASA(C) SSA(D) SSS
Answer» Question1 Which of the following is not a ciriterion for congruence of triangles? (A) SAS (B) ASA (C) SSA (D) SSS

Discussion

6919.	Solve for x, if : logx 49−logx 7+logx 1343+2=0.
Answer» Solve for $x$ , if : $l o g_{x} 49 - l o g_{x} 7 + l o g_{x} \frac{1}{343} + 2 = 0$ .

6919.

Solve for x, if : logx 49−logx 7+logx 1343+2=0.

Answer»

Solve for $x$ , if :

$l o g_{x} 49 - l o g_{x} 7 + l o g_{x} \frac{1}{343} + 2 = 0$ .

Discussion

6920.	In the figure below, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70∘ and ∠BOD = 40∘, find (2∠BOE).
Answer» In the figure below, lines AB and CD intersect at O. If $∠$ AOC + $∠$ BOE = $70^{\circ}$ and $∠$ BOD = $40^{\circ}$ , find (2 $∠$ BOE).

6920.

In the figure below, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70∘ and ∠BOD = 40∘, find (2∠BOE).

Answer»

In the figure below, lines AB and CD intersect at O. If $∠$ AOC + $∠$ BOE = $70^{\circ}$ and $∠$ BOD = $40^{\circ}$ ,
find (2 $∠$ BOE).

Discussion

6921.	Question 7A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.
Answer» Question 7 A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at $R s 0.05 p e r d m^{2}$ .

Discussion

6922.	A non-terminating and non-recurring decimal number is known as a/an _________.
Answer» A non-terminating and non-recurring decimal number is known as a/an _________.

Discussion

6923.	Which of the following is an irrational number?(a) 927(b) −64(c) 1.44(d) 14
Answer» Which of the following is an irrational number? (a) $\sqrt{\frac{9}{27}}$ (b) − $\sqrt{64}$ (c) $\sqrt{1.44}$ (d) $\sqrt{\frac{1}{4}}$

Discussion

6924.	let F(x) = x^2+4x+1 then
Answer» let F(x) = x^2+4x+1 then

Discussion

6925.	Find the measure of y in the given figure.
Answer» Find the measure of y in the given figure.

Discussion

6926.	The line p cuts AB at O and bisects the angle C as shown. Therefore, ACBC = .
Answer» The line p cuts AB at O and bisects the angle C as shown. Therefore, $\frac{A C}{B C} =$ .

Discussion

6927.	The sum of two numbers is 45 and their ratio is 2:3. Find the numbers
Answer» The sum of two numbers is 45 and their ratio is 2:3. Find the numbers

Discussion

6928.	The perimeter of a rhombus is 160 cm and one of its diagonal is 64 cm . find the area of the Rhombus and its other diagonal?
Answer» The perimeter of a rhombus is 160 cm and one of its diagonal is 64 cm . find the area of the Rhombus and its other diagonal?

Discussion

6929.	In the given figure, D is a point on side BC of a ΔABC and E is a point such that CD = DE.Prove that AB + AC>BE.
Answer» $In the given figure, D is a point on side BC of a Δ A B C and E is a point such that CD = DE. Prove that AB + AC > B E .$

6929.

In the given figure, D is a point on side BC of a ΔABC and E is a point such that CD = DE.Prove that AB + AC>BE.

Answer»

$In the given figure, D is a point on side BC of a Δ A B C and E is a point such that CD = DE. Prove that AB + AC > B E .$

Discussion

6930.	In fig. if xo, yo and zo are exterior angles of ABC, then xo + yo+ zo is:
Answer» In fig. if x^o, y^o and z^o are exterior angles of ABC, then x^o + y^o+ z^o is:

6930.

In fig. if xo, yo and zo are exterior angles of ABC, then xo + yo+ zo is:

Answer»

In fig. if x^o, y^o and z^o are exterior angles of ABC, then x^o + y^o+ z^o is:

Discussion

6931.	Draw a line segment AB = 5.6 cm and draw its perpendicular bisector. Measure the length of each part.
Answer» Draw a line segment AB = 5.6 cm and draw its perpendicular bisector. Measure the length of each part.

Discussion

6932.	Find the value of a for which the polynomial (x4−x3−11x2−x+a) is divisible by (x +3).
Answer» Find the value of a for which the polynomial $(x^{4} - x^{3} - 11 x^{2} - x + a)$ is divisible by (x +3).

Discussion

6933.	1. In the triangle PRS =120^° . A point Q is taken on PR such that PQ =QS and QR = RS. The measure of angle QPS is
Answer» 1. In the triangle PRS =120^° . A point Q is taken on PR such that PQ =QS and QR = RS. The measure of angle QPS is

Discussion

6934.	The polynomial equations P1(x) = x3+x2+x+1 and P2(x) = x2+1 have how many zeroes in common?
Answer» The polynomial equations $P_{1}$ (x) = $x^{3} + x^{2} + x + 1$ and $P_{2}$ (x) = $x^{2} + 1$ have how many zeroes in common?

Discussion

6935.	The area of parallelogram ABCD is 25 cm2. What is the area of ΔABC
Answer» The area of parallelogram ABCD is $25 c m^{2}$ . What is the area of $Δ A B C$

Discussion

6936.	Prove that root 3 is an irrational number
Answer» Prove that root 3 is an irrational number

Discussion

6937.	Question 6The class marks of a continuous distribution are 1.04, 1.14, 1.24, 1.34, 1.44, 1.54 and 1.64.Is it correct to say that last interval will be 1.55 - 1.73? Justify your answer.
Answer» Question 6 The class marks of a continuous distribution are 1.04, 1.14, 1.24, 1.34, 1.44, 1.54 and 1.64. Is it correct to say that last interval will be 1.55 - 1.73? Justify your answer.

Discussion

6938.	Find the area of the sheet required to make a cylindrical container which is open at one side and whose diameter is 28 cm and height is 20 cm. Find the approximate area of the sheet required to make a lid of height 2 cm for this container.
Answer» Find the area of the sheet required to make a cylindrical container which is open at one side and whose diameter is 28 cm and height is 20 cm. Find the approximate area of the sheet required to make a lid of height 2 cm for this container.

Discussion

6939.	Find the degree of the polynomial 5x2 – 7x – x3 + 3.
Answer» Find the degree of the polynomial 5x2 – 7x – x3 + 3.

Discussion

6940.	Two circles of radii 4 cm and 3 cm intersect at two points and the distance between their centres is 5 cm. Find the length of the common chord.
Answer» Two circles of radii $4 c m$ and $3 c m$ intersect at two points and the distance between their centres is $5 c m$ . Find the length of the common chord.

Discussion

6941.	Question 13 (ii) A dice is thrown once. Find the probability of getting a number lying between 2 and 6.
Answer» Question 13 (ii) A dice is thrown once. Find the probability of getting a number lying between 2 and 6.

Discussion

6942.	P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP. Prove also that AC bisects PQ.
Answer» P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP. Prove also that AC bisects PQ.

Discussion

6943.	An irrational number between 3 and 4 is .
Answer» An irrational number between 3 and 4 is .

Discussion

6944.	Using the given figure, find the value of x.
Answer» Using the given figure, find the value of $x$ .

6944.

Using the given figure, find the value of x.

Answer»

Using the given figure, find the value of $x$ .

Discussion

6945.	Question 3For which of the following, all angles are equal?a) Rectangleb) Kitec) Trapeziumd) Rhombus
Answer» Question 3 For which of the following, all angles are equal? a) Rectangle b) Kite c) Trapezium d) Rhombus

Discussion

6946.	f(x)=sqrt x^2 -\|x\| -2 + sqrt -x^2+16find the domain of definition
Answer» f(x)=sqrt x^2 -\|x\| -2 + sqrt -x^2+16 find the domain of definition

Discussion

6947.	In an acute △ PQR ,\angle PQR=45^° .Prove that (PQ)^{2 }=(PR)^{2 }+(QR)^{2 }- 4× area(△ PQR
Answer» In an acute △ PQR ,\angle PQR=45^° .Prove that (PQ)^{2 }=(PR)^{2 }+(QR)^{2 }- 4× area(△ PQR

Discussion

6948.	Find the curved surface area of a hemisphere whose radius is 7 cm.
Answer» Find the curved surface area of a hemisphere whose radius is 7 cm.

Discussion

6949.	If △ABC and △PQR in the below figure are similar, find the missing length x and the measure of ∠R
Answer» If $△ A B C$ and $△ P Q R$ in the below figure are similar, find the missing length x and the measure of $∠ R$

6949.

If △ABC and △PQR in the below figure are similar, find the missing length x and the measure of ∠R

Answer»

If $△ A B C$ and $△ P Q R$ in the below figure are similar, find the missing length x and the measure of $∠ R$

Discussion

6950.	The zero of the polynomial p(x) = ax+b is ______.
Answer» The zero of the polynomial p(x) = ax+b is ______.

Discussion

Explore topic-wise InterviewSolutions in .

Question 9 (iii)In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that:ΔAQB≅ΔCPD

A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 4 months. What is the rate of simple interest per annum?

What sum of money will amount to ₹ 3630 in 2 years at 10 % per annum compound interest ?

If (x,y) is a solution of system of equation[2174][xy]=[11], then which of the following is/are correct?

XY is a line parallel to side BC of a triangle ABC. If BE || AC and CF || AB meet XY at E and E respectively, show thatar (ABE) = ar (ACF)

Question 74In the following question, state whether the statement is True (T) or False (F):Factorised from of p2+30p+216 is (p + 18) (p - 12).

If A and B are any two empty sets and A is a proper subset of B. If cardinal number of A is 5 then minimum possible value of n (A Delta B) is

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

The red portion in the image is removed from the sphere to form a cavity. The centre of the base of the cylindrical cavity and the sphere are the same. If the radius of the sphere is 6 cm and the height and radius of the cavity are equal, what is the volume (in cm3) of the cavity?

75% of 600

∆ABC ~ ∆LMN. In ∆ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. Construct ∆ABC and ∆LMN such that BCMN=54.

Explain Remainder theorem

In the given figure, ABCD is a cyclic quadrilateral. Find the value of x.

92, 35, 67, 85, 72, 81, 56, 51, 42, 69

the position of the point (8 -9) with respect to the lines 2x+3y-4=0 and 6x+9y+8=0 is

Draw a histogram for the daily earnings of 30 drug stores in the following table: Daily earning (in Rs): 450-500 500-550 550-600 600-650 650-700 Number of Stores: 16 10 7 3 1

Question1Which of the following is not a ciriterion for congruence of triangles?(A) SAS(B) ASA(C) SSA(D) SSS

Solve for x, if : logx 49−logx 7+logx 1343+2=0.

In the figure below, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70∘ and ∠BOD = 40∘, find (2∠BOE).

Question 7A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.

A non-terminating and non-recurring decimal number is known as a/an _________.

Which of the following is an irrational number?(a) 927(b) −64(c) 1.44(d) 14

let F(x) = x^2+4x+1 then

Find the measure of y in the given figure.

The line p cuts AB at O and bisects the angle C as shown. Therefore, ACBC = .

The sum of two numbers is 45 and their ratio is 2:3. Find the numbers

The perimeter of a rhombus is 160 cm and one of its diagonal is 64 cm . find the area of the Rhombus and its other diagonal?

In the given figure, D is a point on side BC of a ΔABC and E is a point such that CD = DE.Prove that AB + AC&gt;BE.

In fig. if xo, yo and zo are exterior angles of ABC, then xo + yo+ zo is:

Draw a line segment AB = 5.6 cm and draw its perpendicular bisector. Measure the length of each part.

Find the value of a for which the polynomial (x4−x3−11x2−x+a) is divisible by (x +3).

1. In the triangle PRS =120^° . A point Q is taken on PR such that PQ =QS and QR = RS. The measure of angle QPS is

The polynomial equations P1(x) = x3+x2+x+1 and P2(x) = x2+1 have how many zeroes in common?

The area of parallelogram ABCD is 25 cm2. What is the area of ΔABC

Prove that root 3 is an irrational number

Question 6The class marks of a continuous distribution are 1.04, 1.14, 1.24, 1.34, 1.44, 1.54 and 1.64.Is it correct to say that last interval will be 1.55 - 1.73? Justify your answer.

Find the area of the sheet required to make a cylindrical container which is open at one side and whose diameter is 28 cm and height is 20 cm. Find the approximate area of the sheet required to make a lid of height 2 cm for this container.

Find the degree of the polynomial 5x2 – 7x – x3 + 3.

Two circles of radii 4 cm and 3 cm intersect at two points and the distance between their centres is 5 cm. Find the length of the common chord.

Question 13 (ii) A dice is thrown once. Find the probability of getting a number lying between 2 and 6.

P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP. Prove also that AC bisects PQ.

An irrational number between 3 and 4 is .

Using the given figure, find the value of x.

Question 3For which of the following, all angles are equal?a) Rectangleb) Kitec) Trapeziumd) Rhombus

f(x)=sqrt x^2 -|x| -2 + sqrt -x^2+16find the domain of definition

In an acute △ PQR ,\angle PQR=45^° .Prove that (PQ)^{2 }=(PR)^{2 }+(QR)^{2 }- 4× area(△ PQR

Find the curved surface area of a hemisphere whose radius is 7 cm.

If △ABC and △PQR in the below figure are similar, find the missing length x and the measure of ∠R

The zero of the polynomial p(x) = ax+b is ______.

In the given figure, D is a point on side BC of a ΔABC and E is a point such that CD = DE.Prove that AB + AC>BE.