24740 + Interview Questions in Mathematics

1.	△ ABC is right angled at B, perpendicular drawn to the opposite side AC bisects AC at D. BD = ___ cm if AD = DC = 5 cm.
Answer» $△$ ABC is right angled at B, perpendicular drawn to the opposite side AC bisects AC at D. BD = ___ cm if AD = DC = 5 cm.

Discussion

2.	The remainder when x4 – 3x2 + 5x – 7 is divided by x + 1 is:
Answer» The remainder when x⁴ – 3x² + 5x – 7 is divided by x + 1 is:

Discussion

3.	In a ΔPQR, PQ = PR and ∠R = 65°, then ∠P =?
Answer» In a ΔPQR, PQ = PR and ∠R = 65°, then ∠P =?

Discussion

4.	A chord 8 cm long is at a distance of 3 cm from the centre of a circle. Then the radius of that circle is
Answer» A chord 8 cm long is at a distance of 3 cm from the centre of a circle. Then the radius of that circle is

Discussion

5.	Find the value of 'a' if, 3a4=154
Answer» Find the value of 'a' if, $3 \frac{a}{4} = \frac{15}{4}$

5.

Find the value of 'a' if, 3a4=154

Answer»

Find the value of 'a' if,

$3 \frac{a}{4} = \frac{15}{4}$

Discussion

6.	In a histogram, each class rectangle is constructed with base as (a) frequency (b) class-intervals (c) range (d) size of the class
Answer» In a histogram, each class rectangle is constructed with base as (a) frequency (b) class-intervals (c) range (d) size of the class

6.

In a histogram, each class rectangle is constructed with base as (a) frequency (b) class-intervals (c) range (d) size of the class

Answer»

In a histogram, each class rectangle is constructed with base as

(a) frequency (b) class-intervals

(c) range (d) size of the class

Discussion

7.	In the figure, ∠AOB=90∘,AC=BC,OA=12 cm and OC=6.5cm. Find the area of △AOB
Answer» In the figure, $∠ A O B = 90^{\circ}, A C = B C, O A = 12$ cm and $O C = 6.5 c m$ . Find the area of $△ A O B$

Discussion

8.	The age of the employees in a startup company is shown below. AgeNo. of Employees18−263026−347034−425042−503050−581058−6610 Find the median age of the employees of the company. [3 MARKS]
Answer» The age of the employees in a startup company is shown below. $\begin{matrix} Age & No. of Employees 18 - 26 & 30 26 - 34 & 70 34 - 42 & 50 42 - 50 & 30 50 - 58 & 10 58 - 66 & 10 \end{matrix}$ Find the median age of the employees of the company. [3 MARKS]

8.

The age of the employees in a startup company is shown below. AgeNo. of Employees18−263026−347034−425042−503050−581058−6610 Find the median age of the employees of the company. [3 MARKS]

Answer»

The age of the employees in a startup company is shown below.

$\begin{matrix} Age & No. of Employees 18 - 26 & 30 26 - 34 & 70 34 - 42 & 50 42 - 50 & 30 50 - 58 & 10 58 - 66 & 10 \end{matrix}$

Find the median age of the employees of the company. [3 MARKS]

Discussion

9.	In the given figure, AB\|\|CD. Find the values of x,y and z.
Answer» In the given figure, AB\|\|CD. Find the values of x,y and z.

9.

In the given figure, AB||CD. Find the values of x,y and z.

Answer»

In the given figure, AB||CD. Find the values of x,y and z.

Discussion

10.	From the adjoining figure AB \|\| DE. Then the value of x∘ is:
Answer» From the adjoining figure AB \|\| DE. Then the value of $x^{\circ}$ is:

10.

From the adjoining figure AB || DE. Then the value of x∘ is:

Answer»

From the adjoining figure AB || DE. Then the value of $x^{\circ}$ is:

Discussion

11.	the base and the heigth of the triangle are in the ratio 4:5.If the area of the triangle is 40m2; find its base and height
Answer» the base and the heigth of the triangle are in the ratio 4:5.If the area of the triangle is 40m²; find its base and height

Discussion

12.	If F(x)=⎡⎢⎣cos x−sin x0sin xcos x0001⎤⎥⎦, then F(x).F(y)=
Answer» $I f F (x) = ⎡ ⎢ ⎣ \begin{matrix} c o s x & - s i n x & 0 s i n x & c o s x & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦, t h e n F (x) . F (y) =$

Discussion

13.	A cylinder of base diameter 8cm and height 7cm is dipped vertically one third in a bucket full of paint. How much area gets painted?
Answer» A cylinder of base diameter 8cm and height 7cm is dipped vertically one third in a bucket full of paint. How much area gets painted?

Discussion

14.	The least multiple of 7 which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is ___.
Answer» The least multiple of 7 which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is ___.

Discussion

15.	Using ruler and compass only construct a parallelogram of AB 6 cm AD 3 cm angle DAB is 45. If the bisector of angle DAB meets meets DC at P. Prove that angle APB is a right angle.
Answer» Using ruler and compass only construct a parallelogram of AB 6 cm AD 3 cm angle DAB is 45. If the bisector of angle DAB meets meets DC at P. Prove that angle APB is a right angle.

Discussion

16.	when i click on the unlimited practice tab and then click mathematics , it only provides me with a few chapters and no option to scroll down in the small window , could you please help
Answer» when i click on the unlimited practice tab and then click mathematics , it only provides me with a few chapters and no option to scroll down in the small window , could you please help

Discussion

17.	Factorise x(y+z)(y2+z2-x2)+y(z+x)(z2+x2-y2)+ z(x+y)(x2+y2-z2)
Answer» Factorise x(y+z)(y²+z²-x²)+y(z+x)(z²+x²-y²)+ z(x+y)(x²+y²-z²)

Discussion

18.	The breadth of a room is twice its height, one half of its length and the volume of the room is 512 dm3. Find its dimensions
Answer» The breadth of a room is twice its height, one half of its length and the volume of the room is $512 d m^{3} .$ Find its dimensions

Discussion

19.	The ratio between the radius of the base and the height of a cylinder is 2:3. Find the total surface area of the cylinder, if its volume is 1617 cm2.
Answer» The ratio between the radius of the base and the height of a cylinder is 2:3. Find the total surface area of the cylinder, if its volume is 1617 $c m^{2}$ .

Discussion

20.	What is the radius of the circle whose perimeter is equal to its area?
Answer» What is the radius of the circle whose perimeter is equal to its area?

Discussion

21.	In the figure, area of ΔDAC=45cm2,then find the area of rectangle ABEF in cm2. 90
Answer» $In the figure, area of Δ D A C = 45 c m^{2}, then find the area of rectangle ABEF in c m^{2} .$ 90

Discussion

22.	Factorise - (x-1)3+(x-2)3+(3-2x)3
Answer» Factorise - (x-1)³+(x-2)³+(3-2x)³

Discussion

23.	Factorise: 7x2+2√14x+2
Answer» Factorise: $7 x^{2} + 2 \sqrt{14} x + 2$

Discussion

24.	The diagonals of parallelogram ABCD meet at O. Then ∠AOD is equal to .
Answer» The diagonals of parallelogram ABCD meet at O. Then $∠ A O D$ is equal to .

Discussion

25.	The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 cm in diameter. A full barrel of ink in the pen will be used up on writing 330 words on an average. How many words would use up a bottle of ink containing on fifth of litre?
Answer» The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 cm in diameter. A full barrel of ink in the pen will be used up on writing 330 words on an average. How many words would use up a bottle of ink containing on fifth of litre?

Discussion

26.	The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.
Answer» The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.

Discussion

27.	Rationalise 4÷2√3+√7
Answer» Rationalise 4÷2√3+√7

Discussion

28.	Question 3(a) Insert commas suitable and write the names according to Indian system of numeration: 87595762
Answer» Question 3(a) Insert commas suitable and write the names according to Indian system of numeration: 87595762

Discussion

29.	In the figure, find x, further find ∠BOC,∠COD and ∠AOD.
Answer» In the figure, find x, further find $∠ B O C, ∠ C O D$ and $∠ A O D$ .

29.

In the figure, find x, further find ∠BOC,∠COD and ∠AOD.

Answer»

In the figure, find x, further find $∠ B O C, ∠ C O D$ and $∠ A O D$ .

Discussion

30.	AB and CD are two equal chords of a circle. If chord AB is at a distance of 4 cm from the centre, then the distance of chord CD from the centre is
Answer» AB and CD are two equal chords of a circle. If chord AB is at a distance of 4 cm from the centre, then the distance of chord CD from the centre is

Discussion

31.	In the given figure, ∠PQR=∠PRQ, then prove that ∠PQS=∠PRT.
Answer» In the given figure, $∠ P Q R = ∠ P R Q$ , then prove that $∠ P Q S = ∠ P R T .$

Discussion

32.	Question 7 (i) The value of π up to 50 decimal places is given below: 3.14159265358979323846264338327950288419716939937510 (i) Make a frequency distribution of the digits from 0 to9 after the decimal point.
Answer» Question 7 (i) The value of $π$ up to 50 decimal places is given below: 3.14159265358979323846264338327950288419716939937510 (i) Make a frequency distribution of the digits from 0 to9 after the decimal point.

Discussion

33.	"If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent." Is the statement true? Why?
Answer» "If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent." Is the statement true? Why?

33.

"If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent." Is the statement true? Why?

Answer»

"If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent."

Is the statement true? Why?

Discussion

34.	Match the following: A.y=−32−x2;x=−3−2y(i)Inconsistent pairB.5x=6−3y;9y=12−15x(ii)Dependent pairC.y=27−x7;y=185−x5(iii)Unique solution
Answer» Match the following: $\begin{matrix} A . y = - \frac{3}{2} - \frac{x}{2}; x = - 3 - 2 y & (i) I n c o n s i s t e n t p a i r B . 5 x = 6 - 3 y; 9 y = 12 - 15 x & (i i) D e p e n d e n t p a i r C . y = \frac{2}{7} - \frac{x}{7}; y = \frac{18}{5} - \frac{x}{5} & (i i i) U n i q u e s o l u t i o n \end{matrix}$

Discussion

35.	A sphere and a cube are of the same height. The ratio of their volumes is
Answer» A sphere and a cube are of the same height. The ratio of their volumes is

Discussion

36.	A tea merchant blends two varieties of tea costing her Rs. 234 and Rs. 130 per kg in the ratio of their costs. If the weight of the mixture is 84kg, then find the weight of each variety of tea.
Answer» A tea merchant blends two varieties of tea costing her Rs. 234 and Rs. 130 per kg in the ratio of their costs. If the weight of the mixture is 84kg, then find the weight of each variety of tea.

Discussion

37.	The simplest rationalising factor of √3+√5 is
Answer» The simplest rationalising factor of $\sqrt{3} + \sqrt{5}$ is

Discussion

38.	Question 16 If p(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the poin(s) on the X-axis is/are A) P and R B) R and S C) Only Q D) Q and O
Answer» Question 16 If p(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the poin(s) on the X-axis is/are A) P and R B) R and S C) Only Q D) Q and O

Discussion

39.	In ΔABC,AB=16cm,BC=9.6cm.CD⊥AB and AE⊥BC. If CD = 6 cm, the find the length of AE.
Answer» In $Δ A B C, A B = 16 c m, B C = 9.6 c m . C D ⊥ A B$ and $A E ⊥ B C$ . If CD = 6 cm, the find the length of AE.

Discussion

40.	Which of the following Venn diagrams represent A - B?
Answer» Which of the following Venn diagrams represent A - B?

Discussion

41.	The length of a table is 2 m and its breadth is 50 cm. Find the ratio of the length of the table to its breadth.
Answer» The length of a table is 2 m and its breadth is 50 cm. Find the ratio of the length of the table to its breadth.

Discussion

42.	Identify the adverb used in the sentence. Mack and Jay are never going to come to terms with what happened.
Answer» Identify the adverb used in the sentence. Mack and Jay are never going to come to terms with what happened.

42.

Identify the adverb used in the sentence. Mack and Jay are never going to come to terms with what happened.

Answer»

Identify the adverb used in the sentence.

Mack and Jay are never going to come to terms with what happened.

Discussion

43.	Which of the following statements is incorrect?
Answer» Which of the following statements is incorrect?

Discussion

44.	Find the fraction form of decimal 0.037037037....
Answer» Find the fraction form of decimal 0.037037037....

Discussion

45.	In the given figure, AO and BO are bisecters of ∠A and ∠B respectively. If ∠C=125∘ and ∠D=75∘, then x=___
Answer» In the given figure, AO and BO are bisecters of $∠ A$ and $∠ B$ respectively. If $∠ C = 125^{\circ}$ and $∠ D = 75^{\circ}$ , then x=___

45.

In the given figure, AO and BO are bisecters of ∠A and ∠B respectively. If ∠C=125∘ and ∠D=75∘, then x=___

Answer»

In the given figure, AO and BO are bisecters of $∠ A$ and $∠ B$ respectively. If $∠ C = 125^{\circ}$ and $∠ D = 75^{\circ}$ , then x=___

Discussion

46.	The distance of point (0, a); where a is any real number from Y-axis is __
Answer» The distance of point (0, a); where a is any real number from Y-axis is __

Discussion

47.	Given that a, b, c, d, p and q are natural numbers such that a < b and d < c and q < p and given that ab×dc=qp holds true,Which of the following is/are true?
Answer» Given that a, b, c, d, p and q are natural numbers such that a < b and d < c and q < p and given that $\frac{a}{b} \times \frac{d}{c} = \frac{q}{p}$ holds true,Which of the following is/are true?

47.

Given that a, b, c, d, p and q are natural numbers such that a < b and d < c and q < p and given that ab×dc=qp holds true,Which of the following is/are true?

Answer»

Given that a, b, c, d, p and q are natural numbers such that a < b and d < c and q < p and given that $\frac{a}{b} \times \frac{d}{c} = \frac{q}{p}$ holds true,Which of the following is/are true?

Discussion

48.	Which of the following shows the visualization of the subtraction of 4x from 10x?
Answer» Which of the following shows the visualization of the subtraction of 4x from 10x?

Discussion

49.	The perpendicular distance of the point P (4,3) from x-axis is
Answer» The perpendicular distance of the point P (4,3) from x-axis is

Discussion

50.	In a2x2+ax, if ′a′ is constant and ′x′ is a variable, this expression would become a polynomial in ___ variable(s). (Write in words)
Answer» In $a^{2} x^{2} + a x$ , if $^{'} a^{'}$ is constant and $^{'} x^{'}$ is a variable, this expression would become a polynomial in ___ variable(s). (Write in words)

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

△ ABC is right angled at B, perpendicular drawn to the opposite side AC bisects AC at D. BD = ___ cm if AD = DC = 5 cm.

The remainder when x4 – 3x2 + 5x – 7 is divided by x + 1 is:

In a ΔPQR, PQ = PR and ∠R = 65°, then ∠P =?

A chord 8 cm long is at a distance of 3 cm from the centre of a circle. Then the radius of that circle is

Find the value of 'a' if, 3a4=154

In a histogram, each class rectangle is constructed with base as (a) frequency (b) class-intervals (c) range (d) size of the class

In the figure, ∠AOB=90∘,AC=BC,OA=12 cm and OC=6.5cm. Find the area of △AOB

The age of the employees in a startup company is shown below. AgeNo. of Employees18−263026−347034−425042−503050−581058−6610 Find the median age of the employees of the company. [3 MARKS]

In the given figure, AB||CD. Find the values of x,y and z.

From the adjoining figure AB || DE. Then the value of x∘ is:

the base and the heigth of the triangle are in the ratio 4:5.If the area of the triangle is 40m2; find its base and height

If F(x)=⎡⎢⎣cos x−sin x0sin xcos x0001⎤⎥⎦, then F(x).F(y)=

A cylinder of base diameter 8cm and height 7cm is dipped vertically one third in a bucket full of paint. How much area gets painted?

The least multiple of 7 which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is ___.

Using ruler and compass only construct a parallelogram of AB 6 cm AD 3 cm angle DAB is 45. If the bisector of angle DAB meets meets DC at P. Prove that angle APB is a right angle.

when i click on the unlimited practice tab and then click mathematics , it only provides me with a few chapters and no option to scroll down in the small window , could you please help

Factorise x(y+z)(y2+z2-x2)+y(z+x)(z2+x2-y2)+ z(x+y)(x2+y2-z2)

The breadth of a room is twice its height, one half of its length and the volume of the room is 512 dm3. Find its dimensions

The ratio between the radius of the base and the height of a cylinder is 2:3. Find the total surface area of the cylinder, if its volume is 1617 cm2.

What is the radius of the circle whose perimeter is equal to its area?

In the figure, area of ΔDAC=45cm2,then find the area of rectangle ABEF in cm2. 90

Factorise - (x-1)3​​​​​+(x-2)3+(3-2x)3

Factorise: 7x2+2√14x+2

The diagonals of parallelogram ABCD meet at O. Then ∠AOD is equal to .

The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 cm in diameter. A full barrel of ink in the pen will be used up on writing 330 words on an average. How many words would use up a bottle of ink containing on fifth of litre?

The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.

Rationalise 4÷2√3+√7

Question 3(a) Insert commas suitable and write the names according to Indian system of numeration: 87595762

In the figure, find x, further find ∠BOC,∠COD and ∠AOD.

AB and CD are two equal chords of a circle. If chord AB is at a distance of 4 cm from the centre, then the distance of chord CD from the centre is

In the given figure, ∠PQR=∠PRQ, then prove that ∠PQS=∠PRT.

Question 7 (i) The value of π up to 50 decimal places is given below: 3.14159265358979323846264338327950288419716939937510 (i) Make a frequency distribution of the digits from 0 to9 after the decimal point.

"If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent." Is the statement true? Why?

Match the following: A.y=−32−x2;x=−3−2y(i)Inconsistent pairB.5x=6−3y;9y=12−15x(ii)Dependent pairC.y=27−x7;y=185−x5(iii)Unique solution

A sphere and a cube are of the same height. The ratio of their volumes is

A tea merchant blends two varieties of tea costing her Rs. 234 and Rs. 130 per kg in the ratio of their costs. If the weight of the mixture is 84kg, then find the weight of each variety of tea.

The simplest rationalising factor of √3+√5 is

Question 16 If p(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the poin(s) on the X-axis is/are A) P and R B) R and S C) Only Q D) Q and O

In ΔABC,AB=16cm,BC=9.6cm.CD⊥AB and AE⊥BC. If CD = 6 cm, the find the length of AE.

Which of the following Venn diagrams represent A - B?

The length of a table is 2 m and its breadth is 50 cm. Find the ratio of the length of the table to its breadth.

Identify the adverb used in the sentence. Mack and Jay are never going to come to terms with what happened.

Which of the following statements is incorrect?

Find the fraction form of decimal 0.037037037....

In the given figure, AO and BO are bisecters of ∠A and ∠B respectively. If ∠C=125∘ and ∠D=75∘, then x=___

The distance of point (0, a); where a is any real number from Y-axis is __

Given that a, b, c, d, p and q are natural numbers such that a &lt; b and d &lt; c and q &lt; p and given that ab×dc=qp holds true,Which of the following is/are true?

Which of the following shows the visualization of the subtraction of 4x from 10x?

The perpendicular distance of the point P (4,3) from x-axis is

In a2x2+ax, if ′a′ is constant and ′x′ is a variable, this expression would become a polynomial in ___ variable(s). (Write in words)

Factorise - (x-1)3+(x-2)3+(3-2x)3

Given that a, b, c, d, p and q are natural numbers such that a < b and d < c and q < p and given that ab×dc=qp holds true,Which of the following is/are true?