24740 + Interview Questions in Mathematics Page 191 InterviewSolution

9501.	Choose the correct statemet(s) about the below construction of 60∘ using ruler and compass.
Answer» Choose the correct statemet(s) about the below construction of $60^{\circ}$ using ruler and compass.

Discussion

9502.	Write the coordinates of the vertices of each of the figures given below:
Answer» Write the coordinates of the vertices of each of the figures given below:

Discussion

9503.	If a + b + c = 0, then a2 + b2 + c2 is -
Answer» If a + b + c = 0, then $a^{2}$ + $b^{2}$ + $c^{2}$ is -

Discussion

9504.	In the given figure, a circle is given with centre O. The measure of the angle AOB is:
Answer» In the given figure, a circle is given with centre O. The measure of the angle AOB is:

Discussion

9505.	Find the area of a parallelogram ABCD in which AB = 14 cm, BC = 10 cm and AC = 16 cm. (Given, √3=1.73.)
Answer» Find the area of a parallelogram ABCD in which AB = 14 cm, BC = 10 cm and AC = 16 cm. $(G i v e n, \sqrt{3} = 1.73.)$

9505.

Find the area of a parallelogram ABCD in which AB = 14 cm, BC = 10 cm and AC = 16 cm. (Given, √3=1.73.)

Answer»

Find the area of a parallelogram ABCD in which AB = 14 cm, BC = 10 cm and AC = 16 cm. $(G i v e n, \sqrt{3} = 1.73.)$

Discussion

9506.	The value of (997)1/3 according to binomial theoram is
Answer» The value of (997)1/3 according to binomial theoram is

Discussion

9507.	1. Difference between median and altitude of triangle?
Answer» 1. Difference between median and altitude of triangle?

Discussion

9508.

The monthly profits (in Rs.) of 100 shops are distributed as follows: Profits per shop: 0-50 50-100 100-50 150-200 200-250 250-300 No. shops: 12 18 27 20 17 6 Draw a histogram for the data and show the frequency polygon for it.

Answer» The monthly profits (in Rs.) of 100 shops are distributed as follows:

Profits per shop:	0-50	50-100	100-50	150-200	200-250	250-300
No. shops:	12	18	27	20	17	6

Draw a histogram for the data and show the frequency polygon for it.

Discussion

9509.	In a purse, there are ten coins, all shillings except one which is a sovereign. In another purse there are ten coins all shillings. 9 coins are taken from the former purse and put into the latter, then 9 coins are taken from latter and put into the former. Find probability that the sovereign is still in the former purse
Answer» In a purse, there are ten coins, all shillings except one which is a sovereign. In another purse there are ten coins all shillings. 9 coins are taken from the former purse and put into the latter, then 9 coins are taken from latter and put into the former. Find probability that the sovereign is still in the former purse

Discussion

9510.	The given statements are the steps to be followed in the method of substitution in random order. Arrange them in correct order to solve two equations 1) Find the value of one variable, say y in terms of x if x and y are the two variables 2) Substitute the value of x obtained from previous step in either of the equation to find y. 3) Substitute y in the second equation and it will be reduced to an equation in x, find x
Answer» The given statements are the steps to be followed in the method of substitution in random order. Arrange them in correct order to solve two equations 1) Find the value of one variable, say y in terms of x if x and y are the two variables 2) Substitute the value of x obtained from previous step in either of the equation to find y. 3) Substitute y in the second equation and it will be reduced to an equation in x, find x

9510.

The given statements are the steps to be followed in the method of substitution in random order. Arrange them in correct order to solve two equations 1) Find the value of one variable, say y in terms of x if x and y are the two variables 2) Substitute the value of x obtained from previous step in either of the equation to find y. 3) Substitute y in the second equation and it will be reduced to an equation in x, find x

Answer»

The given statements are the steps to be followed in the method of substitution in random order. Arrange them in correct order to solve two equations

1) Find the value of one variable, say y in terms of x if x and y are the two variables

2) Substitute the value of x obtained from previous step in either of the equation to find y.

3) Substitute y in the second equation and it will be reduced to an equation in x, find x

Discussion

9511.	Which geometric instrument serves the only purpose of measuring angles?__
Answer» Which geometric instrument serves the only purpose of measuring angles?__

Discussion

9512.	Which of the following is always expressed with reference to price?
Answer» Which of the following is always expressed with reference to price?

Discussion

9513.	Find the value of the polynomial x2 – x + 1 at x = 1
Answer» Find the value of the polynomial x² – x + 1 at x = 1

Discussion

9514.	The height and base radius of a cone are 6 cm and 8 cm respectively. The curved surface area of the cone is:
Answer» The height and base radius of a cone are $6 c m$ and $8 c m$ respectively. The curved surface area of the cone is:

Discussion

9515.	ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm2, then ar (ΔAPB) =(a) 15 cm2(b) 20 cm2(c) 35 cm2(d) 30 cm2
Answer» ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm², then ar (ΔAPB) = (a) 15 cm² (b) 20 cm² (c) 35 cm² (d) 30 cm²

Discussion

9516.	Draw the graph of the line 3x+4y=18. With the help of graph, find the value of y when x=2. (show this point on the graph)
Answer» Draw the graph of the line $3 x + 4 y = 18$ . With the help of graph, find the value of $y$ when $x = 2$ . (show this point on the graph)

Discussion

9517.	Question 1 (i)Answer the following and justifyCan x2–1 be the quotient on division of x6+2x3+x−1 by a polynomial in x of degree 5?
Answer» Question 1 (i) Answer the following and justify Can $x^{2} - 1$ be the quotient on division of $x 6 + 2 x^{3} + x - 1$ by a polynomial in x of degree 5?

Discussion

9518.	If each edge of a cube, of volume V, is doubled, then the volume of the new cube is(a) 2 V(b) 4 V(c) 6 V(d) 8 V
Answer» If each edge of a cube, of volume V, is doubled, then the volume of the new cube is (a) 2 V (b) 4 V (c) 6 V (d) 8 V

Discussion

9519.	Two concentric circles are of radii 6.5 cm and 2.5 cm. Find the length of the chord of the larger circle which touches the smaller circle [CBSE 2011]
Answer» Two concentric circles are of radii 6.5 cm and 2.5 cm. Find the length of the chord of the larger circle which touches the smaller circle [CBSE 2011]

Discussion

9520.	Question 8(i) Check whether the following statement is true (T) or false (F): The natural number 1 has no predecessor.
Answer» Question 8(i) Check whether the following statement is true (T) or false (F): The natural number 1 has no predecessor.

9520.

Question 8(i) Check whether the following statement is true (T) or false (F): The natural number 1 has no predecessor.

Answer»

Question 8(i)

Check whether the following statement is true (T) or false (F):
The natural number 1 has no predecessor.

Discussion

9521.	The points (5, - 2), (6, 4) and (7, - 2) are the vertices of an _________ triangle.
Answer» The points (5, - 2), (6, 4) and (7, - 2) are the vertices of an _________ triangle.

Discussion

9522.	In a Television game show, the prize money of Rs1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners:No.of winners124581020Prize for each winner (in Rs.)1,00,00050,000……………
Answer» In a Television game show, the prize money of Rs1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners: $\begin{matrix} N o . o f w i n n e r s & 1 & 2 & 4 & 5 & 8 & 10 & 20 P r i z e f o r e a c h w i n n e r (i n R s .) & 1, 00, 000 & 50, 000 & \dots & \dots & \dots & \dots & \dots \end{matrix}$

Discussion

9523.	4) Multiply: {\sqrt2(\sqrt8+\sqrt{18)
Answer» 4) Multiply: {\sqrt2(\sqrt8+\sqrt{18)

Discussion

9524.	Question 1If the sum of the areas of two circles with radii R1 and R2 is equal to the areas of a circle of radius R, then:(A) R1+R2=R(B) R21+R22=R2(C) R1+R2<R(D) R21+R22<R2
Answer» Question 1 If the sum of the areas of two circles with radii $R_{1}$ and $R_{2}$ is equal to the areas of a circle of radius R, then: (A) $R_{1} + R_{2} = R$ (B) $R_{1}^{2} + R_{2}^{2} = R^{2}$ (C) $R_{1} + R_{2} < R$ (D) $R_{1}^{2} + R_{2}^{2} < R_{2}$

Discussion

9525.	The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS.S1 : SX = XYS2 : XY = QY
Answer» The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS. S1 : SX = XY S2 : XY = QY

9525.

The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS.S1 : SX = XYS2 : XY = QY

Answer»

The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS.

S1 : SX = XY

S2 : XY = QY

Discussion

9526.	D, E, F are midpoints of sides AB, BC and CA of ∆ABC, if ar(∆ABC) = 64 cm2 then, area of ∆BDE is:
Answer» D, E, F are midpoints of sides AB, BC and CA of ∆ABC, if ar(∆ABC) = 64 cm² then, area of ∆BDE is:

Discussion

9527.	let S =\{x∈ R:x≥0and 2\vert\surd x-3\vert+\surd x(\surd x-6)+6=0\}then S
Answer» let S =\{x∈ R:x≥0and 2\vert\surd x-3\vert+\surd x(\surd x-6)+6=0\}then S

Discussion

9528.	The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?
Answer» The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires $150 m^{3}$ of air?

Discussion

9529.	PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ=16 cm and RS=12 cm. Find the distance between PQ and RS if they lie on the opposite side of the centre.
Answer» $P Q$ and $R S$ are two parallel chords of a circle whose centre is $O$ and radius is $10 c m$ . If $P Q = 16 c m$ and $R S = 12 c m$ . Find the distance between $P Q$ and $R S$ if they lie on the opposite side of the centre.

9529.

PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ=16 cm and RS=12 cm. Find the distance between PQ and RS if they lie on the opposite side of the centre.

Answer»

$P Q$ and $R S$ are two parallel chords of a circle whose centre is $O$ and radius is $10 c m$ . If $P Q = 16 c m$ and $R S = 12 c m$ . Find the distance between $P Q$ and $R S$ if they lie on the opposite side of the centre.

Discussion

9530.	If →a,→b,→c are three unit vectors such that \|→a+→b+→c\|=1 and →a is perpendicular to →b. If →c makes angles α,β with →a,→b respectively, then (cosα+cosβ) is equal to
Answer» If $\to a, \to b, \to c$ are three unit vectors such that $\| \to a + \to b + \to c \| = 1$ and $\to a$ is perpendicular to $\to b .$ If $\to c$ makes angles $α, β$ with $\to a, \to b$ respectively, then $(cos α + cos β)$ is equal to

Discussion

9531.	Find sinx2,cosx2 and tanx2 for sinx=14,x in quadrant II.
Answer» Find $sin \frac{x}{2}, cos \frac{x}{2}$ and $tan \frac{x}{2}$ for $sin x = \frac{1}{4}, x$ in quadrant $I I .$

Discussion

9532.	Question 6 The following table gives the distribution of students of two sections according to the marks obtained by them: Section ASection BMarksFrequencyMarksFrequency0−1030−10510−20910−201920−301720−301530−401230−401040−50940−501 Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.
Answer» Question 6 The following table gives the distribution of students of two sections according to the marks obtained by them: $\begin{matrix} S e c t i o n A & S e c t i o n B M a r k s & F r e q u e n c y & M a r k s & F r e q u e n c y 0 - 10 & 3 & 0 - 10 & 5 10 - 20 & 9 & 10 - 20 & 19 20 - 30 & 17 & 20 - 30 & 15 30 - 40 & 12 & 30 - 40 & 10 40 - 50 & 9 & 40 - 50 & 1 \end{matrix}$ Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.

Discussion

9533.	If 2=1.4142 then 2-12+1 is equal to(a) 0.1718(b) 5.8282(c) 0.4142(d) 2.4142
Answer» If $\sqrt{2} = 1.4142$ then $\sqrt{\frac{\sqrt{2} - 1}{\sqrt{2} + 1}}$ is equal to (a) 0.1718 (b) 5.8282 (c) 0.4142 (d) 2.4142

Discussion

9534.	Note Take π=227, unless stated otherwise.Find the volume of a sphere whose surface area is 154 cm2.
Answer» Note Take $π = \frac{22}{7}$ , unless stated otherwise. Find the volume of a sphere whose surface area is 154 cm².

Discussion

9535.	Factorise (x + y + z)^5 -x^5 -y^5 -z^5
Answer» Factorise (x + y + z)^5 -x^5 -y^5 -z^5

Discussion

9536.	The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other number.435
Answer» The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other number. 435

Discussion

9537.	To construct a parallelogram given its length of diagonals, which of the following additional information is required?
Answer» To construct a parallelogram given its length of diagonals, which of the following additional information is required?

Discussion

9538.	Law of cosine can be applied to
Answer» Law of cosine can be applied to

Discussion

9539.	Perform the following calculations to the appropriate number of significant digits(6.0210^234.00)÷(4.0*10^20)
Answer» Perform the following calculations to the appropriate number of significant digits (6.0210^234.00)÷(4.0*10^20)

Discussion

9540.	a vector perpendicular to i+j-k and i-j-k Vector is
Answer» a vector perpendicular to i+j-k and i-j-k Vector is

Discussion

9541.	13.If the no. of rectangles excluding squares from a rectangle of size 74 is X then find X/10
Answer» 13.If the no. of rectangles excluding squares from a rectangle of size 74 is X then find X/10

Discussion

9542.	The ratio of the income of two persons is 7:5 and the ratio of their expenditure is 3:2. If each of them manages to save Rs 2000 per month, find their monthly income.
Answer» The ratio of the income of two persons is 7:5 and the ratio of their expenditure is 3:2. If each of them manages to save Rs 2000 per month, find their monthly income.

Discussion

9543.	Question 46In the following question, fill in the blanks to make the statements true.The standard from of (1100000000) is ___
Answer» Question 46 In the following question, fill in the blanks to make the statements true. The standard from of $(\frac{1}{100000000})$ is ___

9543.

Question 46In the following question, fill in the blanks to make the statements true.The standard from of (1100000000) is ___

Answer»

Question 46

In the following question, fill in the blanks to make the statements true.

The standard from of $(\frac{1}{100000000})$ is ___

Discussion

9544.	The angles of a quadrilateral are x°, (x-10)°, (x+30)° and 2x°. Then what is the value of the greatest angle is degrees.
Answer» The angles of a quadrilateral are x°, (x-10)°, (x+30)° and 2x°. Then what is the value of the greatest angle is degrees.

Discussion

9545.	If an isosceles triangle has perimeter 18 cm and base 8 cm, then its area is cm2.
Answer» If an isosceles triangle has perimeter 18 cm and base 8 cm, then its area is ${c m}^{2}$ .

Discussion

9546.	ABCD is a rhombus. Show that diagonal AC bisects ∠A as well as ∠C and diagonal BD bisects ∠B as well as ∠D.
Answer» ABCD is a rhombus. Show that diagonal AC bisects $∠ A$ as well as $∠ C$ and diagonal BD bisects $∠ B$ as well as $∠ D$ .

Discussion

9547.	If an angle differs from its complement by 10°, find the angle.
Answer» If an angle differs from its complement by 10°, find the angle.

Discussion

9548.	Rationalise 1√3+√2
Answer» Rationalise $\frac{1}{\sqrt{3} + \sqrt{2}}$

Discussion

9549.	In the given figure, find the area of ΔGEF.
Answer» In the given figure, find the area of ΔGEF.

Discussion

9550.	find k so that x2+2x+k is a factor of 2x4+x3-14x2+5x+6.also find all the zeroes two polynomial
Answer» find k so that x2+2x+k is a factor of 2x4+x3-14x2+5x+6.also find all the zeroes two polynomial

Discussion

Explore topic-wise InterviewSolutions in .

Choose the correct statemet(s) about the below construction of 60∘ using ruler and compass.

Write the coordinates of the vertices of each of the figures given below:

If a + b + c = 0, then a2 + b2 + c2 is -

In the given figure, a circle is given with centre O. The measure of the angle AOB is:

Find the area of a parallelogram ABCD in which AB = 14 cm, BC = 10 cm and AC = 16 cm. (Given, √3=1.73.)

The value of (997)1/3 according to binomial theoram is

1. Difference between median and altitude of triangle?

The monthly profits (in Rs.) of 100 shops are distributed as follows: Profits per shop: 0-50 50-100 100-50 150-200 200-250 250-300 No. shops: 12 18 27 20 17 6 Draw a histogram for the data and show the frequency polygon for it.

Which geometric instrument serves the only purpose of measuring angles?__

Which of the following is always expressed with reference to price?

Find the value of the polynomial x2 – x + 1 at x = 1

The height and base radius of a cone are 6 cm and 8 cm respectively. The curved surface area of the cone is:

ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm2, then ar (ΔAPB) =(a) 15 cm2(b) 20 cm2(c) 35 cm2(d) 30 cm2

Draw the graph of the line 3x+4y=18. With the help of graph, find the value of y when x=2. (show this point on the graph)

Question 1 (i)Answer the following and justifyCan x2–1 be the quotient on division of x6+2x3+x−1 by a polynomial in x of degree 5?

If each edge of a cube, of volume V, is doubled, then the volume of the new cube is(a) 2 V(b) 4 V(c) 6 V(d) 8 V

Two concentric circles are of radii 6.5 cm and 2.5 cm. Find the length of the chord of the larger circle which touches the smaller circle [CBSE 2011]

Question 8(i) Check whether the following statement is true (T) or false (F): The natural number 1 has no predecessor.

The points (5, - 2), (6, 4) and (7, - 2) are the vertices of an _________ triangle.

4) Multiply: {\sqrt2(\sqrt8+\sqrt{18)

Question 1If the sum of the areas of two circles with radii R1 and R2 is equal to the areas of a circle of radius R, then:(A) R1+R2=R(B) R21+R22=R2(C) R1+R2&lt;R(D) R21+R22&lt;R2

The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS.S1 : SX = XYS2 : XY = QY

D, E, F are midpoints of sides AB, BC and CA of ∆ABC, if ar(∆ABC) = 64 cm2 then, area of ∆BDE is:

let S =\{x∈ R:x≥0and 2\vert\surd x-3\vert+\surd x(\surd x-6)+6=0\}then S

The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?

PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ=16 cm and RS=12 cm. Find the distance between PQ and RS if they lie on the opposite side of the centre.

If →a,→b,→c are three unit vectors such that |→a+→b+→c|=1 and →a is perpendicular to →b. If →c makes angles α,β with →a,→b respectively, then (cosα+cosβ) is equal to

Find sinx2,cosx2 and tanx2 for sinx=14,x in quadrant II.

If 2=1.4142 then 2-12+1 is equal to(a) 0.1718(b) 5.8282(c) 0.4142(d) 2.4142

Note Take π=227, unless stated otherwise.Find the volume of a sphere whose surface area is 154 cm2.

Factorise (x + y + z)^5 -x^5 -y^5 -z^5

The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other number.435

To construct a parallelogram given its length of diagonals, which of the following additional information is required?

Law of cosine can be applied to

Perform the following calculations to the appropriate number of significant digits(6.02*10^23*4.00)÷(4.0*10^20)

a vector perpendicular to i+j-k and i-j-k Vector is

13.If the no. of rectangles excluding squares from a rectangle of size 74 is X then find X/10

The ratio of the income of two persons is 7:5 and the ratio of their expenditure is 3:2. If each of them manages to save Rs 2000 per month, find their monthly income.

Question 46In the following question, fill in the blanks to make the statements true.The standard from of (1100000000) is ___

The angles of a quadrilateral are x°, (x-10)°, (x+30)° and 2x°. Then what is the value of the greatest angle is degrees.

If an isosceles triangle has perimeter 18 cm and base 8 cm, then its area is cm2.

ABCD is a rhombus. Show that diagonal AC bisects ∠A as well as ∠C and diagonal BD bisects ∠B as well as ∠D.

If an angle differs from its complement by 10°, find the angle.

Rationalise 1√3+√2

In the given figure, find the area of ΔGEF.

find k so that x2+2x+k is a factor of 2x4+x3-14x2+5x+6.also find all the zeroes two polynomial

Question 1If the sum of the areas of two circles with radii R1 and R2 is equal to the areas of a circle of radius R, then:(A) R1+R2=R(B) R21+R22=R2(C) R1+R2<R(D) R21+R22<R2

Perform the following calculations to the appropriate number of significant digits(6.0210^234.00)÷(4.0*10^20)