24740 + Interview Questions in Mathematics

1.	Question 8 If the length of the diagonal of a cube is 6√3 cm, then the length of the edge of the cube is 3 cm.
Answer» Question 8 If the length of the diagonal of a cube is $6 \sqrt{3} c m$ , then the length of the edge of the cube is 3 cm.

Discussion

2.	In a right angle triangle ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratios of the areas of ΔABD and Δ BCD?
Answer» In a right angle triangle ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratios of the areas of $Δ$ ABD and $Δ$ BCD?

Discussion

3.	In a triangle ABC if angle A + angle B = 65 degrees and angle B + angle C = 140 degrees, calculate angle A and angle B
Answer» In a triangle ABC if angle A + angle B = 65 degrees and angle B + angle C = 140 degrees, calculate angle A and angle B

Discussion

4.	Find the vale of p for the following frequency distribution whose mean is 16.6 x81215p202530f121620241684
Answer» Find the vale of p for the following frequency distribution whose mean is 16.6 $\begin{matrix} x & 8 & 12 & 15 & p & 20 & 25 & 30 f & 12 & 16 & 20 & 24 & 16 & 8 & 4 \end{matrix}$

Discussion

5.	Look at the bar graph given below. Read it carefully and answer the following questions. (i) What information does the bar graph give? (ii) In which subject is the student very good? (iii) In which subject is he poor? (iv) What is the average of his marks?
Answer» Look at the bar graph given below. Read it carefully and answer the following questions. (i) What information does the bar graph give? (ii) In which subject is the student very good? (iii) In which subject is he poor? (iv) What is the average of his marks?

5.

Look at the bar graph given below. Read it carefully and answer the following questions. (i) What information does the bar graph give? (ii) In which subject is the student very good? (iii) In which subject is he poor? (iv) What is the average of his marks?

Answer»

Look at the bar graph given below.

Read it carefully and answer the following questions.
(i) What information does the bar graph give?
(ii) In which subject is the student very good?
(iii) In which subject is he poor?
(iv) What is the average of his marks?

Discussion

6.	The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angle is 10∘, find the three angles.
Answer» The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angle is $10^{\circ}$ , find the three angles.

Discussion

7.	Find the image of point (2,3) under the line x-axis.
Answer» Find the image of point (2,3) under the line x-axis.

Discussion

8.	In the given figure; AB is a mirror, PQ is the incident ray and QR is the reflected ray. If ∠PQR=108∘ then ∠AQP=? (a)72∘ (b)18∘ (c)36∘ (d)54∘
Answer» In the given figure; AB is a mirror, PQ is the incident ray and QR is the reflected ray. If $∠ P Q R = 108^{\circ}$ then $∠ A Q P = ?$ $(a) 72^{\circ}$ $(b) 18^{\circ}$ $(c) 36^{\circ}$ $(d) 54^{\circ}$

8.

In the given figure; AB is a mirror, PQ is the incident ray and QR is the reflected ray. If ∠PQR=108∘ then ∠AQP=? (a)72∘ (b)18∘ (c)36∘ (d)54∘

Answer»

In the given figure; AB is a mirror, PQ is the incident ray and QR is the reflected ray. If $∠ P Q R = 108^{\circ}$ then $∠ A Q P = ?$

$(a) 72^{\circ}$

$(b) 18^{\circ}$

$(c) 36^{\circ}$

$(d) 54^{\circ}$

Discussion

9.	A regular hexagon has a side 6cm. Its area is:
Answer» A regular hexagon has a side 6cm. Its area is:

Discussion

10.	A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 13 cm, 14 cm and 15 cm and the parallelogram stands on the base 14 cm, find the height of the parallelogram.
Answer» A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 13 cm, 14 cm and 15 cm and the parallelogram stands on the base 14 cm, find the height of the parallelogram.

Discussion

11.	Factorise: 7(x−2y)2−25(x−2y)+12
Answer» Factorise: $7 (x - 2 y)^{2} - 25 (x - 2 y) + 12$

Discussion

12.	If the point (3, 5) lies on the graph of the equation 3y = ax + 9, the value of a is ___
Answer» If the point (3, 5) lies on the graph of the equation 3y = ax + 9, the value of a is ___

Discussion

13.	Solve the following equations for x: (i) 22x−2x+3+24 =0 (ii) 32x+4+1=2 . 3x+2
Answer» Solve the following equations for x: (i) $2^{2 x} - 2^{x + 3} + 2^{4}$ =0 (ii) $3^{2 x + 4} + 1 = 2 . 3^{x + 2}$

13.

Solve the following equations for x: (i) 22x−2x+3+24 =0 (ii) 32x+4+1=2 . 3x+2

Answer»

Solve the following equations for x:

(i) $2^{2 x} - 2^{x + 3} + 2^{4}$ =0

(ii) $3^{2 x + 4} + 1 = 2 . 3^{x + 2}$

Discussion

14.	If (x51+51) is divided by (x+1) then the remainder is (a) 0 (b) 1 (c) 49 (d) 50
Answer» If $(x^{51} + 51)$ is divided by (x+1) then the remainder is (a) 0 (b) 1 (c) 49 (d) 50

Discussion

15.	80 bulbs are selected at random from a lot and their life time ( in hours) is recorded in the form of a frequency table given below: Lifetime (in hours)3005007009001100Frequency1012232510 One bulb is selected at random from the lot. The probability that its life is 1150 h, is: A) 180 B) 716 C) 0 D) 1
Answer» 80 bulbs are selected at random from a lot and their life time ( in hours) is recorded in the form of a frequency table given below: $\begin{matrix} L i f e t i m e (i n h o u r s) & 300 & 500 & 700 & 900 & 1100 F r e q u e n c y & 10 & 12 & 23 & 25 & 10 \end{matrix}$ One bulb is selected at random from the lot. The probability that its life is 1150 h, is: A) $\frac{1}{80}$ B) $\frac{7}{16}$ C) 0 D) 1

Discussion

16.	Question 4 In a cylinder, the radius is doubled and height is halved, then the curved surface area will be: A) Halved B) Doubled C) Same D) Four times
Answer» Question 4 In a cylinder, the radius is doubled and height is halved, then the curved surface area will be: A) Halved B) Doubled C) Same D) Four times

Discussion

17.	What are factor and remainder theorem ?
Answer» What are factor and remainder theorem ?

Discussion

18.	Look at the given numbers and answer the question based on it : 3, 4, 2, 5, 4, 3, 2, 4, 3, 20. What is the Mean ?
Answer» Look at the given numbers and answer the question based on it : 3, 4, 2, 5, 4, 3, 2, 4, 3, 20. What is the Mean ?

18.

Look at the given numbers and answer the question based on it : 3, 4, 2, 5, 4, 3, 2, 4, 3, 20. What is the Mean ?

Answer»

Look at the given numbers and answer the question based on it :

3, 4, 2, 5, 4, 3, 2, 4, 3, 20. What is the Mean ?

Discussion

19.	If BDEF and FDCE are parallelograms, then ___ lies equidistant to points B and C. (Fill in one among A/F/E/D).
Answer» If BDEF and FDCE are parallelograms, then ___ lies equidistant to points B and C. (Fill in one among A/F/E/D).

Discussion

20.	From the options, choose the irrational number(s) that lie between 4 & 9.
Answer» From the options, choose the irrational number(s) that lie between 4 & 9.

Discussion

21.	If the point (2, -1) lies on the graph of the equation 3x + ky = 4, then the value of k is
Answer» If the point (2, -1) lies on the graph of the equation 3x + ky = 4, then the value of k is

Discussion

22.	The expansion of (x−y+2z)2 is _______.
Answer» The expansion of ( $x - y + 2 z)^{2}$ is _______.

Discussion

23.	Question 10 In figure , ABCD and AEFG are two parallelograms. If ∠C=55∘, then determine ∠F.
Answer» Question 10 In figure , ABCD and AEFG are two parallelograms. If $∠ C = 55^{\circ}$ , then determine $∠ F$ .

Discussion

24.	A hemispherical tank of radius 3 cm is full of milk. It is connected to a pipe, through which liquid is emptied at the 17 litre per second. The time taken to empty the tank completely?
Answer» A hemispherical tank of radius 3 cm is full of milk. It is connected to a pipe, through which liquid is emptied at the $\frac{1}{7}$ litre per second. The time taken to empty the tank completely?

Discussion

25.	Question 5 Write True or False and justify your answer : A circle of radius 3 cm can be drawn through two points A, B such that AB = 6cm.
Answer» Question 5 Write True or False and justify your answer : A circle of radius 3 cm can be drawn through two points A, B such that AB = 6cm.

Discussion

26.	The pages of a book are numbered from 1 to 100 manually. How many times will it be essential to write the number 5?
Answer» The pages of a book are numbered from 1 to 100 manually. How many times will it be essential to write the number 5?

Discussion

27.	There are two concentric circles, each with center O and of radii 10 cm and 26 cm respectively. Find the length of the chord AB of the outer circle which touches the inner circle at P. __
Answer» There are two concentric circles, each with center O and of radii 10 cm and 26 cm respectively. Find the length of the chord AB of the outer circle which touches the inner circle at P. __

27.

There are two concentric circles, each with center O and of radii 10 cm and 26 cm respectively. Find the length of the chord AB of the outer circle which touches the inner circle at P. __

Answer»

There are two concentric circles, each with center O and of radii 10 cm and 26 cm respectively. Find the length of the chord AB of the outer circle which touches the inner circle at P.

__

Discussion

28.	If we start at (0,0) on a rectangular coordinate system and move 5 right and 3 up, where do we end up?
Answer» If we start at (0,0) on a rectangular coordinate system and move 5 right and 3 up, where do we end up?

Discussion

29.	If x=5−2√6, then x+1x= ___
Answer» If $x = 5 - 2 \sqrt{6}$ , then $x + \frac{1}{x} =$ ___

Discussion

30.	In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option: I.(x+3)(y+2)=12 II.2xy+4x+5y=11
Answer» In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option: $I . (x + 3) (y + 2) = 12$ $I I . 2 x y + 4 x + 5 y = 11$

Discussion

31.	If six cubical boxes of 20 cm edge are joined end to end, then the total surface area (in sq. cm) of the resulting solid is _____.
Answer» If six cubical boxes of 20 cm edge are joined end to end, then the total surface area (in sq. cm) of the resulting solid is _____.

Discussion

32.	The position of the point (2, 5) relative to the hyperbola 9x2−y2=1
Answer» The position of the point (2, 5) relative to the hyperbola $9 x^{2} - y^{2} = 1$

Discussion

33.	In the figure, ABC and ABD are two triangles on the base AB. If line segment CD is bisected by AB at O, show that ar (△ABC)=ar(△ABD)
Answer» In the figure, ABC and ABD are two triangles on the base AB. If line segment CD is bisected by AB at O, show that ar $(△ A B C) = a r (△ A B D)$

Discussion

34.	Question 141 Fill in the blank to make the statement true. 2 is the only ......... number which is even.
Answer» Question 141 Fill in the blank to make the statement true. 2 is the only ......... number which is even.

34.

Question 141 Fill in the blank to make the statement true. 2 is the only ......... number which is even.

Answer»

Question 141

Fill in the blank to make the statement true.

2 is the only ......... number which is even.

Discussion

35.	(207×193) = ? (a) 39851 (b) 39951 (c) 39961 (d) 38951
Answer» $(207 \times 193)$ = ? (a) 39851 (b) 39951 (c) 39961 (d) 38951

Discussion

36.	Fill in the blanks. (a) Each angle of an equilateral triangle measures___ (b) Medians of an equilateral triangle are___ (c) In a right triangle, the hypotenuse is the___side. (d) Drawing a ΔABC with AB = 3 cm, Bc = 4 cm and CA = 7 cm is___
Answer» Fill in the blanks. (a) Each angle of an equilateral triangle measures___ (b) Medians of an equilateral triangle are___ (c) In a right triangle, the hypotenuse is the___side. (d) Drawing a $Δ A B C$ with AB = 3 cm, Bc = 4 cm and CA = 7 cm is___

36.

Fill in the blanks. (a) Each angle of an equilateral triangle measures_ (b) Medians of an equilateral triangle are_ (c) In a right triangle, the hypotenuse is the_side. (d) Drawing a ΔABC with AB = 3 cm, Bc = 4 cm and CA = 7 cm is_

Answer»

Fill in the blanks.

(a) Each angle of an equilateral triangle measures___

(b) Medians of an equilateral triangle are___

(c) In a right triangle, the hypotenuse is the___side.

(d) Drawing a $Δ A B C$ with AB = 3 cm, Bc = 4 cm and CA = 7 cm is___

Discussion

37.	A heap of wheat is in the form of cone of diameter 9 m and height 3.5 m . Find volume.How much canvas cloth is required to just cover the heap?(Use π =3.14.)
Answer» A heap of wheat is in the form of cone of diameter 9 m and height 3.5 m . Find volume.How much canvas cloth is required to just cover the heap? $(U s e π = 3.14.)$

Discussion

38.	Which set is the subset of all given sets
Answer» Which set is the subset of all given sets

Discussion

39.	A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number. [4 MARKS]
Answer» A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number. [4 MARKS]

Discussion

40.	Represent 0.585585….. In a rational form. Reverse the digits of the obtained fraction. Is is still recurring? [ 3 MARKS]
Answer» Represent 0.585585….. In a rational form. Reverse the digits of the obtained fraction. Is is still recurring? [ 3 MARKS]

Discussion

41.	If the cost of a bike is twice the cost of a scooter, represent it using linear equations in two variables in the form ax + by = 0
Answer» If the cost of a bike is twice the cost of a scooter, represent it using linear equations in two variables in the form ax + by = 0

Discussion

42.	Question 10 Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.
Answer» Question 10 Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.

Discussion

43.	The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length is–
Answer» The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length is–

Discussion

44.	M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Then which of the following is correct?
Answer» M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Then which of the following is correct?

Discussion

45.	Can you explain me what is Euclid's geometry and it is necessary for exam???
Answer» Can you explain me what is Euclid's geometry and it is necessary for exam???

Discussion

46.	A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30∘ with it. The distance between the foot of the tree to the point where the top touches the ground is 9 m. Find the height of the tree. [4 MARKS]
Answer» A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle $30^{\circ}$ with it. The distance between the foot of the tree to the point where the top touches the ground is 9 m. Find the height of the tree. [4 MARKS]

Discussion

47.	Question 10 In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. a margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade. [Assume π=227]
Answer» Question 10 In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. a margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade. $[A s s u m e π = \frac{22}{7}]$

Discussion

48.	Find the value of ‘n’, if:
Answer» Find the value of ‘n’, if:

Discussion

49.	When p(x)=4x3−12x3+11x−5 is divided by (2x - 1), the remainder is
Answer» When $p (x) = 4 x^{3} - 12 x^{3} + 11 x - 5$ is divided by (2x - 1), the remainder is

Discussion

50.	The number of dimensions of a solid are (a) 1 (b) 2 (c) 3 (d) 5
Answer» The number of dimensions of a solid are (a) 1 (b) 2 (c) 3 (d) 5

50.

The number of dimensions of a solid are (a) 1 (b) 2 (c) 3 (d) 5

Answer»

The number of dimensions of a solid are

(a) 1

(b) 2

(c) 3

(d) 5

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 8 If the length of the diagonal of a cube is 6√3 cm, then the length of the edge of the cube is 3 cm.

In a right angle triangle ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratios of the areas of ΔABD and Δ BCD?

In a triangle ABC if angle A + angle B = 65 degrees and angle B + angle C = 140 degrees, calculate angle A and angle B

Find the vale of p for the following frequency distribution whose mean is 16.6 x81215p202530f121620241684

Look at the bar graph given below. Read it carefully and answer the following questions. (i) What information does the bar graph give? (ii) In which subject is the student very good? (iii) In which subject is he poor? (iv) What is the average of his marks?

The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angle is 10∘, find the three angles.

Find the image of point (2,3) under the line x-axis.

In the given figure; AB is a mirror, PQ is the incident ray and QR is the reflected ray. If ∠PQR=108∘ then ∠AQP=? (a)72∘ (b)18∘ (c)36∘ (d)54∘

A regular hexagon has a side 6cm. Its area is:

A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 13 cm, 14 cm and 15 cm and the parallelogram stands on the base 14 cm, find the height of the parallelogram.

Factorise: 7(x−2y)2−25(x−2y)+12

If the point (3, 5) lies on the graph of the equation 3y = ax + 9, the value of a is ___

Solve the following equations for x: (i) 22x−2x+3+24 =0 (ii) 32x+4+1=2 . 3x+2

If (x51+51) is divided by (x+1) then the remainder is (a) 0 (b) 1 (c) 49 (d) 50

Question 4 In a cylinder, the radius is doubled and height is halved, then the curved surface area will be: A) Halved B) Doubled C) Same D) Four times

What are factor and remainder theorem ?

Look at the given numbers and answer the question based on it : 3, 4, 2, 5, 4, 3, 2, 4, 3, 20. What is the Mean ?

If BDEF and FDCE are parallelograms, then ___ lies equidistant to points B and C. (Fill in one among A/F/E/D).

From the options, choose the irrational number(s) that lie between 4 &amp; 9.

If the point (2, -1) lies on the graph of the equation 3x + ky = 4, then the value of k is

The expansion of (x−y+2z)2 is _______.

Question 10 In figure , ABCD and AEFG are two parallelograms. If ∠C=55∘, then determine ∠F.

A hemispherical tank of radius 3 cm is full of milk. It is connected to a pipe, through which liquid is emptied at the 17 litre per second. The time taken to empty the tank completely?

Question 5 Write True or False and justify your answer : A circle of radius 3 cm can be drawn through two points A, B such that AB = 6cm.

The pages of a book are numbered from 1 to 100 manually. How many times will it be essential to write the number 5?

There are two concentric circles, each with center O and of radii 10 cm and 26 cm respectively. Find the length of the chord AB of the outer circle which touches the inner circle at P. __

If we start at (0,0) on a rectangular coordinate system and move 5 right and 3 up, where do we end up?

If x=5−2√6, then x+1x= ___

In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option: I.(x+3)(y+2)=12 II.2xy+4x+5y=11

If six cubical boxes of 20 cm edge are joined end to end, then the total surface area (in sq. cm) of the resulting solid is _____.

The position of the point (2, 5) relative to the hyperbola 9x2−y2=1

In the figure, ABC and ABD are two triangles on the base AB. If line segment CD is bisected by AB at O, show that ar (△ABC)=ar(△ABD)

Question 141 Fill in the blank to make the statement true. 2 is the only ......... number which is even.

(207×193) = ? (a) 39851 (b) 39951 (c) 39961 (d) 38951

Fill in the blanks. (a) Each angle of an equilateral triangle measures___ (b) Medians of an equilateral triangle are___ (c) In a right triangle, the hypotenuse is the___side. (d) Drawing a ΔABC with AB = 3 cm, Bc = 4 cm and CA = 7 cm is___

A heap of wheat is in the form of cone of diameter 9 m and height 3.5 m . Find volume.How much canvas cloth is required to just cover the heap?(Use π =3.14.)

Which set is the subset of all given sets

A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number. [4 MARKS]

Represent 0.585585….. In a rational form. Reverse the digits of the obtained fraction. Is is still recurring? [ 3 MARKS]

If the cost of a bike is twice the cost of a scooter, represent it using linear equations in two variables in the form ax + by = 0

Question 10 Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.

The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length is–

M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Then which of the following is correct?

Can you explain me what is Euclid's geometry and it is necessary for exam???

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30∘ with it. The distance between the foot of the tree to the point where the top touches the ground is 9 m. Find the height of the tree. [4 MARKS]

Find the value of ‘n’, if:

When p(x)=4x3−12x3+11x−5 is divided by (2x - 1), the remainder is

The number of dimensions of a solid are (a) 1 (b) 2 (c) 3 (d) 5

From the options, choose the irrational number(s) that lie between 4 & 9.

Fill in the blanks. (a) Each angle of an equilateral triangle measures_ (b) Medians of an equilateral triangle are_ (c) In a right triangle, the hypotenuse is the_side. (d) Drawing a ΔABC with AB = 3 cm, Bc = 4 cm and CA = 7 cm is_