24740 + Interview Questions in Mathematics Page 136 InterviewSolution

6751.	The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel.Take π=227
Answer» The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel. Take $π = \frac{22}{7}$

Discussion

6752.	12, 17, 3, 14, 5, 8, 7, 15
Answer» 12, 17, 3, 14, 5, 8, 7, 15

Discussion

6753.	Simplify each of the following expressions:(i) (ii) (iii) (iv)
Answer» Simplify each of the following expressions: (i) (ii) (iii) (iv)

6753.

Simplify each of the following expressions:(i) (ii) (iii) (iv)

Answer»

Simplify each of the following expressions:

(i) (ii)

(iii) (iv)

Discussion

6754.	Find the perimeter and the area of the right angled triangle whose sides are 6 feet, 8 feet and 10 feet. ?
Answer» Find the perimeter and the area of the right angled triangle whose sides are 6 feet, 8 feet and 10 feet. ?

Discussion

6755.	The chord of a circle of radius 10 cm subtends a right angle at its centre. The length of the chord (in cm) is [CBSE 2014](a) 52 cm(b) 52 cm(c) 102 cm(d) 103 cm
Answer» The chord of a circle of radius 10 cm subtends a right angle at its centre. The length of the chord (in cm) is [CBSE 2014] (a) $\frac{5}{\sqrt{2}}$ cm (b) $5 \sqrt{2}$ cm (c) $10 \sqrt{2}$ cm (d) $10 \sqrt{3}$ cm

Discussion

6756.	Draw line segments of the lengths given below and draw their perpendicular bisectors.(1) 5.3 cm(2) 6.7 cm(3) 3.8 cm
Answer» Draw line segments of the lengths given below and draw their perpendicular bisectors. $(1) 5.3 c m$ $(2) 6.7 c m$ $(3) 3.8 c m$

Discussion

6757.	In the given set of lines, line ___ is a transversal.
Answer» In the given set of lines, line ___ is a transversal.

6757.

In the given set of lines, line ___ is a transversal.

Answer»

In the given set of lines, line ___ is a transversal.

Discussion

6758.	On the construction work of a flyover bridge there were 320 workers initially. The number of workers were increased by 25% every year. Find the number of workers after 2 years.
Answer» On the construction work of a flyover bridge there were 320 workers initially. The number of workers were increased by 25% every year. Find the number of workers after 2 years.

Discussion

6759.	Question 4The taxi fare in a city is as follows: For the first kilometre, the fare is Rs. 8 and for the subsequent distance it is Rs. 5 per km. Taking the distance covered as x km and total fare as Rs. y, write a linear equation for this information, and draw its graph.
Answer» Question 4 The taxi fare in a city is as follows: For the first kilometre, the fare is Rs. 8 and for the subsequent distance it is Rs. 5 per km. Taking the distance covered as x km and total fare as Rs. y, write a linear equation for this information, and draw its graph.

Discussion

6760.	In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.
Answer» In any triangle ABC, if the angle bisector of $∠ A$ and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.

Discussion

6761.	if the line px+qy= r touches the circle x2 + y2 = a2 then
Answer» if the line px+qy= r touches the circle x2 + y2 = a2 then

Discussion

6762.	If the squared difference of the zeroes of the quadratic polynomial f(x) = x2 + px +45 is equal to 144 , find the value of p.
Answer» If the squared difference of the zeroes of the quadratic polynomial f(x) = x2 + px +45 is equal to 144 , find the value of p.

Discussion

6763.	Express the following numbers in usual form: 3.61492×106
Answer» Express the following numbers in usual form: $3.61492 \times 10^{6}$

Discussion

6764.	Question 8The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.
Answer» Question 8 The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.

Discussion

6765.	At what rate per cent compound interest, does a sum of money become 1.44 times of itself in 2 years ?
Answer» At what rate per cent compound interest, does a sum of money become 1.44 times of itself in 2 years ?

Discussion

6766.	Which of the following is not a necessary condition for a quadrilateral ABCD to be a parallelogram:
Answer» Which of the following is not a necessary condition for a quadrilateral $A B C D$ to be a parallelogram:

Discussion

6767.	In which quadrant or on which axis do each of the points (−2, 4), (3, −1),(−1, 0), (−3, −5) and (0, −1) lie?
Answer» In which quadrant or on which axis do each of the points (−2, 4), (3, −1),(−1, 0), (−3, −5) and (0, −1) lie?

Discussion

6768.	In a triangle ABC, the medians BE and CF intersect at G. Prove that ar(∆BCG) = ar(AFGE).
Answer» In a triangle ABC, the medians BE and CF intersect at G. Prove that ar(∆BCG) = ar(AFGE).

Discussion

6769.	circumference of circle =2πr, so we can write π as circumference/diameter, which we know will be a rational number, so how can we say that π is an irrational number?
Answer» circumference of circle =2πr, so we can write π as circumference/diameter, which we know will be a rational number, so how can we say that π is an irrational number?

Discussion

6770.	Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.
Answer» Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.

Discussion

6771.	Subtract −7x3+4x from −2x3+8x. .
Answer» Subtract $- 7 x^{3} + 4 x$ from $- 2 x^{3} + 8 x$ . .

Discussion

6772.	a√a + b√b = 183 a√b + b√a = 182 Find 9/5(a+b) Please show the steps also.
Answer» a√a + b√b = 183 a√b + b√a = 182 Find 9/5(a+b) Please show the steps also.

Discussion

6773.	In the given figure, AB is a chord that is 3 cm away from the centre O of a circle of radius 5 cm. If OE is the angle bisector of ∠AOB and if it bisects AB at 90∘ then what is the length of AB?
Answer» In the given figure, AB is a chord that is 3 cm away from the centre O of a circle of radius 5 cm. If OE is the angle bisector of $∠ A O B$ and if it bisects AB at $90^{\circ}$ then what is the length of AB?

Discussion

6774.	Find the surface area of a sphere of radius:(i) 10.5 cm(ii) 5.6 cm(iii) 14 cm
Answer» Find the surface area of a sphere of radius: (i) 10.5 cm (ii) 5.6 cm (iii) 14 cm

Discussion

6775.	The difference between the sides of a right angle 🔺 containing the right angle 7 CM and it's area 60cm .Find perimeter
Answer» The difference between the sides of a right angle 🔺 containing the right angle 7 CM and it's area 60cm .Find perimeter

Discussion

6776.	Following are the ages (in years) of 360 patients, getting medical treatment in a hospital: Age (in years)10−2020−3030−4040−5050−6060−70Numbr of patients905060805030 Construct the cumulative frequency table for the above data.
Answer» Following are the ages (in years) of 360 patients, getting medical treatment in a hospital: $\begin{matrix} Age (in years) & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 Numbr of patients & 90 & 50 & 60 & 80 & 50 & 30 \end{matrix}$ Construct the cumulative frequency table for the above data.

6776.

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital: Age (in years)10−2020−3030−4040−5050−6060−70Numbr of patients905060805030 Construct the cumulative frequency table for the above data.

Answer»

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:
$\begin{matrix} Age (in years) & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 Numbr of patients & 90 & 50 & 60 & 80 & 50 & 30 \end{matrix}$
Construct the cumulative frequency table for the above data.

Discussion

6777.	14. Find the equation of circle through three collinear point (3,4) , (-3,-4), &(0,5)
Answer» 14. Find the equation of circle through three collinear point (3,4) , (-3,-4), &(0,5)

Discussion

6778.	The distance of a star from planet x is 32423468898754376815798 km. Find the most occuring digit in this distance.
Answer» The distance of a star from planet x is 32423468898754376815798 km. Find the most occuring digit in this distance.

Discussion

6779.	If two cubes of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
Answer» If two cubes of side 6 cm are joined face to face, then find the volume of the resulting cuboid.

Discussion

6780.	(a − 2b)3 − 512b3
Answer» (a − 2b)³ − 512b³

Discussion

6781.	Question 1 (iii) For which value (s) λ, do the pair of linear equations λx+y=λ2 and x+λy=1 have a unique solution?
Answer» Question 1 (iii) For which value (s) $λ$ , do the pair of linear equations $λ x + y = λ^{2} a n d x + λ y = 1$ have a unique solution?

Discussion

6782.	Is x²= 5. w²= 27 . Z²= 0.04 . F²=17/4. t²=0.4 tell if these are rational or irrational solution steps
Answer» Is x²= 5. w²= 27 . Z²= 0.04 . F²=17/4. t²=0.4 tell if these are rational or irrational solution steps

Discussion

6783.	Assertion (A)Reason (R) In a rhombus ABCD, the diagonal The diagonals of a rhombus bisect AC bisects AC bisects ∠A as well as ∠Ceach other at right angles. The correct answer is : (a) / (b) / (c) / (d)
Answer» $\begin{matrix} Assertion (A) & Reason (R) In a rhombus ABCD, the diagonal & The diagonals of a rhombus bisect AC bisects AC bisects ∠ A as well as ∠ C & each other at right angles. \end{matrix}$ The correct answer is : (a) / (b) / (c) / (d)

6783.

Assertion (A)Reason (R) In a rhombus ABCD, the diagonal The diagonals of a rhombus bisect AC bisects AC bisects ∠A as well as ∠Ceach other at right angles. The correct answer is : (a) / (b) / (c) / (d)

Answer»

$\begin{matrix} Assertion (A) & Reason (R) In a rhombus ABCD, the diagonal & The diagonals of a rhombus bisect AC bisects AC bisects ∠ A as well as ∠ C & each other at right angles. \end{matrix}$

The correct answer is : (a) / (b) / (c) / (d)

Discussion

6784.	Question 86 (xvi)Using suitable identities, evaluate the following:(35.4)2−(14.6)2
Answer» Question 86 (xvi) Using suitable identities, evaluate the following: $(35.4)^{2} - (14.6)^{2}$

6784.

Question 86 (xvi)Using suitable identities, evaluate the following:(35.4)2−(14.6)2

Answer»

Question 86 (xvi)

Using suitable identities, evaluate the following:

$(35.4)^{2} - (14.6)^{2}$

Discussion

6785.	The decimal expansion of an irrational number is non-terminating and ________.
Answer» The decimal expansion of an irrational number is non-terminating and ________.

Discussion

6786.	Draw the graph of two lines whose equations are 3x - 2y + 6 = 0 and x + 2y -6 = 0 on the same axes . Find the area of the triangle formed by the two lines and the x - axis .
Answer» Draw the graph of two lines whose equations are 3x - 2y + 6 = 0 and x + 2y -6 = 0 on the same axes . Find the area of the triangle formed by the two lines and the x - axis .

Discussion

6787.	Construct Quadrilateral PQRS where PQ = 4.2 cm, QR = 3 cm, PS = 2.8 cm, PR = 4.5 cm and QS = 5 cm.
Answer» Construct Quadrilateral PQRS where PQ = 4.2 cm, QR = 3 cm, PS = 2.8 cm, PR = 4.5 cm and QS = 5 cm.

Discussion

6788.	Describe the sample space for the indicated experiment :A coin is tossed and a die is thrown.
Answer» Describe the sample space for the indicated experiment : A coin is tossed and a die is thrown.

Discussion

6789.	The sum of the radius of the base and height of a solid cylinder is 37 m. If the total surface area of the solid cylinder is 1628 cm2. Find the volume of the cylinder.
Answer» The sum of the radius of the base and height of a solid cylinder is $37 m .$ If the total surface area of the solid cylinder is $1628 c m^{2} .$ Find the volume of the cylinder.

Discussion

6790.	The surface areas of two spheres are in the ratio 1 : 4. Find the ratio of their volumes.
Answer» The surface areas of two spheres are in the ratio 1 : 4. Find the ratio of their volumes.

Discussion

6791.	Question 118 Fill in the blank to make the statement true. If 0 is subtracted from a whole number, then the result is the _____ itself.
Answer» Question 118 Fill in the blank to make the statement true. If 0 is subtracted from a whole number, then the result is the _____ itself.

Discussion

6792.	In the given figure, XY and X'Y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersects XY at A and X'Y' at B. Then ∠ AOB is _____.
Answer» In the given figure, XY and X'Y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersects XY at A and X'Y' at B. Then $∠$ AOB is _____.

Discussion

6793.	Mode is(a) least frequent value(b) middle most value(c) most frequent value(d) none of these
Answer» Mode is (a) least frequent value (b) middle most value (c) most frequent value (d) none of these

Discussion

6794.	In the adjoining figure, O is the centre of the circle and PQ, RS are its equal chords, OD ⊥ PQ and OE ⊥ RS. If ∠DOE=130∘, then ∠PDE = ___.
Answer» In the adjoining figure, O is the centre of the circle and PQ, RS are its equal chords, OD $⊥$ PQ and OE $⊥$ RS. If $∠ D O E = 130^{\circ},$ then $∠ P D E$ = ___.

6794.

In the adjoining figure, O is the centre of the circle and PQ, RS are its equal chords, OD ⊥ PQ and OE ⊥ RS. If ∠DOE=130∘, then ∠PDE = ___.

Answer»

In the adjoining figure, O is the centre of the circle and PQ, RS are its equal chords, OD $⊥$ PQ and OE $⊥$ RS. If $∠ D O E = 130^{\circ},$ then $∠ P D E$ = ___.

Discussion

6795.	In the given figure, find the value of sec A2 + cosec A2
Answer» In the given figure, find the value of $s e c \frac{A}{2} + cos e c \frac{A}{2}$

Discussion

6796.	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

6797.	The expression √5−√3√5+√3 when simplified reduces to a−b√15.Find the value of a + b .
Answer» The expression $\frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$ when simplified reduces to $a - b \sqrt{15}$ . Find the value of a + b .

6797.

The expression √5−√3√5+√3 when simplified reduces to a−b√15.Find the value of a + b .

Answer»

The expression $\frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$ when simplified reduces to $a - b \sqrt{15}$ .

Find the value of a + b .

Discussion

6798.	If X and Y are two sets such that n(X)=17, n(Y)=23 and n(X∪Y)=38, find n(X∩Y).
Answer» If $X$ and $Y$ are two sets such that $n (X) = 17, n (Y) = 23$ and $n (X \cup Y) = 38$ , find $n (X \cap Y)$ .

Discussion

6799.	In figure AB \|\| CD. Determine ∠a
Answer» In figure AB \|\| CD. Determine $∠ a$

Discussion

6800.	Plot the points (3, 5) ad (-1, 3) on a graph paper and verify that the straight line passing through these points also passes through the point (1, 4).
Answer» Plot the points (3, 5) ad (-1, 3) on a graph paper and verify that the straight line passing through these points also passes through the point (1, 4).

Discussion

Explore topic-wise InterviewSolutions in .

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel.Take π=227

12, 17, 3, 14, 5, 8, 7, 15

Simplify each of the following expressions:(i) (ii) (iii) (iv)

Find the perimeter and the area of the right angled triangle whose sides are 6 feet, 8 feet and 10 feet. ?

The chord of a circle of radius 10 cm subtends a right angle at its centre. The length of the chord (in cm) is [CBSE 2014](a) 52 cm(b) 52 cm(c) 102 cm(d) 103 cm

Draw line segments of the lengths given below and draw their perpendicular bisectors.(1) 5.3 cm(2) 6.7 cm(3) 3.8 cm

In the given set of lines, line ___ is a transversal.

On the construction work of a flyover bridge there were 320 workers initially. The number of workers were increased by 25% every year. Find the number of workers after 2 years.

Question 4The taxi fare in a city is as follows: For the first kilometre, the fare is Rs. 8 and for the subsequent distance it is Rs. 5 per km. Taking the distance covered as x km and total fare as Rs. y, write a linear equation for this information, and draw its graph.

In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.

if the line px+qy= r touches the circle x2 + y2 = a2 then

If the squared difference of the zeroes of the quadratic polynomial f(x) = x2 + px +45 is equal to 144 , find the value of p.

Express the following numbers in usual form: 3.61492×106

Question 8The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.

At what rate per cent compound interest, does a sum of money become 1.44 times of itself in 2 years ?

Which of the following is not a necessary condition for a quadrilateral ABCD to be a parallelogram:

In which quadrant or on which axis do each of the points (−2, 4), (3, −1),(−1, 0), (−3, −5) and (0, −1) lie?

In a triangle ABC, the medians BE and CF intersect at G. Prove that ar(∆BCG) = ar(AFGE).

circumference of circle =2πr, so we can write π as circumference/diameter, which we know will be a rational number, so how can we say that π is an irrational number?

Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.

Subtract −7x3+4x from −2x3+8x. .

a√a + b√b = 183 a√b + b√a = 182 Find 9/5(a+b) Please show the steps also.

In the given figure, AB is a chord that is 3 cm away from the centre O of a circle of radius 5 cm. If OE is the angle bisector of ∠AOB and if it bisects AB at 90∘ then what is the length of AB?

Find the surface area of a sphere of radius:(i) 10.5 cm(ii) 5.6 cm(iii) 14 cm

The difference between the sides of a right angle 🔺 containing the right angle 7 CM and it's area 60cm .Find perimeter

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital: Age (in years)10−2020−3030−4040−5050−6060−70Numbr of patients905060805030 Construct the cumulative frequency table for the above data.

14. Find the equation of circle through three collinear point (3,4) , (-3,-4), &(0,5)

The distance of a star from planet x is 32423468898754376815798 km. Find the most occuring digit in this distance.

If two cubes of side 6 cm are joined face to face, then find the volume of the resulting cuboid.

(a − 2b)3 − 512b3

Question 1 (iii) For which value (s) λ, do the pair of linear equations λx+y=λ2 and x+λy=1 have a unique solution?

Is x²= 5. w²= 27 . Z²= 0.04 . F²=17/4. t²=0.4 tell if these are rational or irrational solution steps

Assertion (A)Reason (R) In a rhombus ABCD, the diagonal The diagonals of a rhombus bisect AC bisects AC bisects ∠A as well as ∠Ceach other at right angles. The correct answer is : (a) / (b) / (c) / (d)

Question 86 (xvi)Using suitable identities, evaluate the following:(35.4)2−(14.6)2

The decimal expansion of an irrational number is non-terminating and ________.

Draw the graph of two lines whose equations are 3x - 2y + 6 = 0 and x + 2y -6 = 0 on the same axes . Find the area of the triangle formed by the two lines and the x - axis .

Construct Quadrilateral PQRS where PQ = 4.2 cm, QR = 3 cm, PS = 2.8 cm, PR = 4.5 cm and QS = 5 cm.

Describe the sample space for the indicated experiment :A coin is tossed and a die is thrown.

The sum of the radius of the base and height of a solid cylinder is 37 m. If the total surface area of the solid cylinder is 1628 cm2. Find the volume of the cylinder.

The surface areas of two spheres are in the ratio 1 : 4. Find the ratio of their volumes.

Question 118 Fill in the blank to make the statement true. If 0 is subtracted from a whole number, then the result is the _____ itself.

In the given figure, XY and X'Y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersects XY at A and X'Y' at B. Then ∠ AOB is _____.

Mode is(a) least frequent value(b) middle most value(c) most frequent value(d) none of these

In the adjoining figure, O is the centre of the circle and PQ, RS are its equal chords, OD ⊥ PQ and OE ⊥ RS. If ∠DOE=130∘, then ∠PDE = ___.

In the given figure, find the value of sec A2 + cosec A2

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 expression √5−√3√5+√3 when simplified reduces to a−b√15.Find the value of a + b .

If X and Y are two sets such that n(X)=17, n(Y)=23 and n(X∪Y)=38, find n(X∩Y).

In figure AB || CD. Determine ∠a

Plot the points (3, 5) ad (-1, 3) on a graph paper and verify that the straight line passing through these points also passes through the point (1, 4).