32581 + Interview Questions in Mathematics

1.	Match the following Column I Column II 1) Mx a) represents reflection in the y-axis 2) My b) represents reflection in the origin 3) Mo c) represents reflection in the x-axis
Answer» Match the following Column I Column II 1) $M_{x}$ a) represents reflection in the y-axis 2) $M_{y}$ b) represents reflection in the origin 3) $M_{o}$ c) represents reflection in the x-axis

1.

Match the following Column I Column II 1) Mx a) represents reflection in the y-axis 2) My b) represents reflection in the origin 3) Mo c) represents reflection in the x-axis

Answer»

Match the following

Column I Column II

1) $M_{x}$ a) represents reflection in the y-axis

2) $M_{y}$ b) represents reflection in the origin

3) $M_{o}$ c) represents reflection in the x-axis

Discussion

2.	From a set of 17 cards, numbered 1, 2, ..., 17, one card is drawn at random. What is the probability that number on the drawn card is a multiple of 3 or 7 ?
Answer» From a set of 17 cards, numbered 1, 2, ..., 17, one card is drawn at random. What is the probability that number on the drawn card is a multiple of 3 or 7 ?

Discussion

3.	Find the 31st term of an AP whose 11th term is 38 and 16th term is 73.
Answer» Find the $31^{st}$ term of an AP whose $11^{th}$ term is 38 and $16^{th}$ term is 73.

Discussion

4.	Ram is about to toss 2 fair coins. If he is asked to find the probability that there is at least 1 head, list the favourable outcomes.
Answer» Ram is about to toss 2 fair coins. If he is asked to find the probability that there is at least 1 head, list the favourable outcomes.

Discussion

5.	Find out the appropriate word which fits the 5th blank.
Answer» Find out the appropriate word which fits the 5th blank.

Discussion

6.	If A and A∩B are void set (empty sets) and n(A∪ B) = 50, find the value of n(B).
Answer» If A and A $\cap$ B are void set (empty sets) and n(A $\cup$ B) = 50, find the value of n(B).

Discussion

7.	I drew two circles of radius 3cm and 5cm with the common centre. Line AB is the chord to both circles. Length CD = 4.46 cm. Find the distance of the chords from the centre and the length AC.
Answer» I drew two circles of radius 3cm and 5cm with the common centre. Line AB is the chord to both circles. Length CD = 4.46 cm. Find the distance of the chords from the centre and the length AC.

7.

I drew two circles of radius 3cm and 5cm with the common centre. Line AB is the chord to both circles. Length CD = 4.46 cm. Find the distance of the chords from the centre and the length AC.

Answer»

I drew two circles of radius 3cm and 5cm with the common centre. Line AB is the chord to both circles. Length CD = 4.46 cm. Find the distance of the chords from the centre and the length AC.

Discussion

8.	Zeroes of x2−56x+108 are______.
Answer» $Zeroes of x^{2} - 56 x + 108 are$ ______.

Discussion

9.	△ABC is a right angled triangle, right angled at B. BD is a perpendicular to AC as shown in the figure. If AD:DC = 1:2, then AB2BC2 is ____.
Answer» $△$ ABC is a right angled triangle, right angled at B. BD is a perpendicular to AC as shown in the figure. If AD:DC = 1:2, then $\frac{{A B}^{2}}{{B C}^{2}}$ is ____.

9.

△ABC is a right angled triangle, right angled at B. BD is a perpendicular to AC as shown in the figure. If AD:DC = 1:2, then AB2BC2 is ____.

Answer»

$△$ ABC is a right angled triangle, right angled at B. BD is a perpendicular to AC as shown in the figure. If AD:DC = 1:2, then $\frac{{A B}^{2}}{{B C}^{2}}$ is ____.

Discussion

10.	The graph of a polynomial P(x) is as shown. The number of its zeroes are
Answer» The graph of a polynomial P(x) is as shown. The number of its zeroes are

Discussion

11.	If the roots of the equation (A-B)x sq +(B-C)x+(C-A)=0 are equal prove that 2a=b+c
Answer» If the roots of the equation (A-B)x sq +(B-C)x+(C-A)=0 are equal prove that 2a=b+c

Discussion

12.	What is the probability of not picking a king if you choose randomly from a pack of 52 cards?
Answer» What is the probability of not picking a king if you choose randomly from a pack of 52 cards?

Discussion

13.	Prove that the following is irrational : 6+√2 [3 MARKS]
Answer» Prove that the following is irrational : $6 + \sqrt{2}$ [3 MARKS]

Discussion

14.	Mean deviation of the series a, a + d, a + 2d, a + 2nd from its mean is
Answer» Mean deviation of the series a, a + d, a + 2d, a + 2nd from its mean is

Discussion

15.	A bag contains red, blue and green balls. It is twice as likely to pick a blue ball as compared to a red ball, and it is thrice as likely to pick a green ball as compared to a red ball. What is the probability of picking a green ball? [3 MARKS]
Answer» A bag contains red, blue and green balls. It is twice as likely to pick a blue ball as compared to a red ball, and it is thrice as likely to pick a green ball as compared to a red ball. What is the probability of picking a green ball? [3 MARKS]

Discussion

16.	√1+sin θ1−sin θ+√1−sin θ1+sin θ=
Answer» $\sqrt{\frac{1 + s i n θ}{1 - s i n θ}} + \sqrt{\frac{1 - s i n θ}{1 + s i n θ}} =$

Discussion

17.	What is the diameter of a circle whose area is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm ?
Answer» What is the diameter of a circle whose area is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm ?

Discussion

18.	If x=r cos θ sin ϕ, y=r cos θ cos ϕ, z=r sin θ, then find the value of x2+y2+z2.
Answer» If $x = r cos θ sin ϕ, y = r cos θ cos ϕ, z = r sin θ$ , then find the value of $x^{2} + y^{2} + z^{2}$ .

Discussion

19.	Suppose our school is 1 km away from our house, and we go to school in the morning, and in the afternoon we come back. Then, the total displacement for the entire trip is
Answer» Suppose our school is $1 km$ away from our house, and we go to school in the morning, and in the afternoon we come back. Then, the total displacement for the entire trip is

Discussion

20.	Inverse exists for a function which is
Answer» Inverse exists for a function which is

Discussion

21.	Question 26 If Sn denotes the sum of first n terms of an AP, then prove that S12=3(S8−S4)
Answer» Question 26 If $S_{n}$ denotes the sum of first n terms of an AP, then prove that $S_{12} = 3 (S_{8} - S_{4})$

Discussion

22.	A tower of height 24 m casts a shadow 50 m and at the same time, a girl of height 1.8 m casts a shadow. Find the length of her shadow.
Answer» A tower of height 24 m casts a shadow 50 m and at the same time, a girl of height 1.8 m casts a shadow. Find the length of her shadow.

Discussion

23.	Question 54 State whether the following statement is True or False. The given shape is a cylinder.
Answer» Question 54 State whether the following statement is True or False. The given shape is a cylinder.

Discussion

24.	Slope of the line joining the points A(-3,5) and B(4,-1) is _______.
Answer» Slope of the line joining the points A(-3,5) and B(4,-1) is _______.

Discussion

25.	If c, d are zeroes of x2-10x-11b and a , b are zeroes of x2-10cx-11d then value of a+b+c+d= ? A) 1210 B)-1 C)2530 D)-11
Answer» If c, d are zeroes of x2-10x-11b and a , b are zeroes of x2-10cx-11d then value of a+b+c+d= ? A) 1210 B)-1 C)2530 D)-11

25.

If c, d are zeroes of x2-10x-11b and a , b are zeroes of x2-10cx-11d then value of a+b+c+d= ? A) 1210 B)-1 C)2530 D)-11

Answer»

If c, d are zeroes of x2-10x-11b and a , b are zeroes of x2-10cx-11d then value of a+b+c+d= ?

A) 1210

B)-1

C)2530

D)-11

Discussion

26.	The perimeter of aright angled triangle is 30cms.the length of the hypotenuse is 13cms .find the length of the other two sides
Answer» The perimeter of aright angled triangle is 30cms.the length of the hypotenuse is 13cms .find the length of the other two sides

Discussion

27.	Question 1 (viii) Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials (viii) v2+4√3v−15
Answer» Question 1 (viii) Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials (viii) $v^{2} + 4 \sqrt{3} v - 15$

Discussion

28.	I didn't understand this part in my last doubt. Can u please explain.. ⇒ bx / (a2 - b2) - cy / (a2 - b2) = 1 / (a+b) ⇒ bx / (a - b) - cy / (a - b) = 1
Answer» I didn't understand this part in my last doubt. Can u please explain.. ⇒ bx / (a2 - b2) - cy / (a2 - b2) = 1 / (a+b) ⇒ bx / (a - b) - cy / (a - b) = 1

Discussion

29.	Question 3 Find two numbers whose sum is 27 and product is 182.
Answer» Question 3 Find two numbers whose sum is 27 and product is 182.

Discussion

30.	Find the volume of water which can be filled in a bucket of height 8 cm and radii of ends of the bucket are 9 cm and 3 cm.
Answer» Find the volume of water which can be filled in a bucket of height 8 cm and radii of ends of the bucket are 9 cm and 3 cm.

Discussion

31.	Circumcircle touches the __ of a polygon
Answer» Circumcircle touches the __ of a polygon

Discussion

32.	A solid right cylinder cone of radius 30cm and height 60cm is dropped in a right circular cylinder of radius 60cm full of Water upto a height of 180 cm. Find the rise in level of water.
Answer» A solid right cylinder cone of radius $30 c m$ and height 60cm is dropped in a right circular cylinder of radius 60cm full of Water upto a height of $180$ cm. Find the rise in level of water.

Discussion

33.	Factorisation of :Xsquare +x-50
Answer» Factorisation of :Xsquare +x-50

Discussion

34.	A circle with centre O has tangent PQ touching the circle at B. If ABCD is a cyclic quadrilateral and ∠DBQ = 65∘ , then ∠BCD is
Answer» A circle with centre O has tangent PQ touching the circle at B. If ABCD is a cyclic quadrilateral and $∠$ DBQ = $65^{\circ}$ , then $∠$ BCD is

34.

A circle with centre O has tangent PQ touching the circle at B. If ABCD is a cyclic quadrilateral and ∠DBQ = 65∘ , then ∠BCD is

Answer»

A circle with centre O has tangent PQ touching the circle at B. If ABCD is a cyclic quadrilateral and $∠$ DBQ = $65^{\circ}$ , then $∠$ BCD is

Discussion

35.	Question 5 Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5 m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6 m each, what is the distance between Reshma and Mandip?
Answer» Question 5 Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5 m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6 m each, what is the distance between Reshma and Mandip?

Discussion

36.	The product of the GCD and LCM of any two polynomials is equal to the __ of those two polynomials.
Answer» The product of the GCD and LCM of any two polynomials is equal to the __ of those two polynomials.

Discussion

37.	The houses in a row are numbered consecutively from 1to49.show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find the value of x.
Answer» The houses in a row are numbered consecutively from 1to49.show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find the value of x.

Discussion

38.	The length, breadth and height of a room are 8m 50cm, 6m 25cm and 4m 75cm respectively. Find the length of the longest rod that can measure the dimensions of the room exactly.
Answer» The length, breadth and height of a room are 8m 50cm, 6m 25cm and 4m 75cm respectively. Find the length of the longest rod that can measure the dimensions of the room exactly.

Discussion

39.	Can (x-7) be the remainder on division of polynomial p(x)by (7x+2). Justify your answer
Answer» Can (x-7) be the remainder on division of polynomial p(x)by (7x+2). Justify your answer

Discussion

40.	What is the sum of the first 25 terms of the A.P -10,-7,-4,.......?
Answer» What is the sum of the first 25 terms of the A.P -10,-7,-4,.......?

Discussion

41.	The surface area of a sphere of radius 4 cm is
Answer» The surface area of a sphere of radius 4 cm is

Discussion

42.	Excersies1.3 solutions
Answer» Excersies1.3 solutions

Discussion

43.	Mohan paid Rs 20 as sales tax on a pair of shoes worth Rs 250. Find rate of sales tax.
Answer» Mohan paid Rs 20 as sales tax on a pair of shoes worth Rs 250. Find rate of sales tax.

Discussion

44.	Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
Answer» Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

44.

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

Answer»

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

Discussion

45.	Question 4 The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures. Number of students per teacherNumber of states/U.T15−20320−25825−30930−351035−40340−45045−50050−552
Answer» Question 4 The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures. $\begin{matrix} Number of students per teacher & Number of states/U.T 15 - 20 & 3 20 - 25 & 8 25 - 30 & 9 30 - 35 & 10 35 - 40 & 3 40 - 45 & 0 45 - 50 & 0 50 - 55 & 2 \end{matrix}$

45.

Question 4 The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures. Number of students per teacherNumber of states/U.T15−20320−25825−30930−351035−40340−45045−50050−552

Answer»

Question 4
The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.

$\begin{matrix} Number of students per teacher & Number of states/U.T 15 - 20 & 3 20 - 25 & 8 25 - 30 & 9 30 - 35 & 10 35 - 40 & 3 40 - 45 & 0 45 - 50 & 0 50 - 55 & 2 \end{matrix}$

Discussion

46.	Question 4 A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
Answer» Question 4 A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.

Discussion

47.	(tan2 A sec2 B−sec2 A tan2 B)=_____.
Answer» $(t a n^{2} A s e c^{2} B - s e c^{2} A t a n^{2} B) =$ _____.

Discussion

48.	Given that the H.C.F. of 35 and 49 is 7, what is their LCM?
Answer» Given that the H.C.F. of 35 and 49 is 7, what is their LCM?

Discussion

49.	Classify the following as linear, quadratic and cubic polynomials: 1) x−x3 2) y+y2+4 3) 1+x 4) x−xy [ 4 MARKS]
Answer» Classify the following as linear, quadratic and cubic polynomials: 1) $x - x^{3}$ 2) $y + y^{2} + 4$ 3) $1 + x$ 4) $x - x y$ [ 4 MARKS]

Discussion

50.	The largest 4 digit number exactly divisible by 88 is:
Answer» The largest 4 digit number exactly divisible by 88 is:

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Match the following Column I Column II 1) Mx a) represents reflection in the y-axis 2) My b) represents reflection in the origin 3) Mo c) represents reflection in the x-axis

From a set of 17 cards, numbered 1, 2, ..., 17, one card is drawn at random. What is the probability that number on the drawn card is a multiple of 3 or 7 ?

Find the 31st term of an AP whose 11th term is 38 and 16th term is 73.

Ram is about to toss 2 fair coins. If he is asked to find the probability that there is at least 1 head, list the favourable outcomes.

Find out the appropriate word which fits the 5th blank.

If A and A∩B are void set (empty sets) and n(A∪ B) = 50, find the value of n(B).

I drew two circles of radius 3cm and 5cm with the common centre. Line AB is the chord to both circles. Length CD = 4.46 cm. Find the distance of the chords from the centre and the length AC.

Zeroes of x2−56x+108 are______.

△ABC is a right angled triangle, right angled at B. BD is a perpendicular to AC as shown in the figure. If AD:DC = 1:2, then AB2BC2 is ____.

The graph of a polynomial P(x) is as shown. The number of its zeroes are

If the roots of the equation (A-B)x sq +(B-C)x+(C-A)=0 are equal prove that 2a=b+c

What is the probability of not picking a king if you choose randomly from a pack of 52 cards?

Prove that the following is irrational : 6+√2 [3 MARKS]

Mean deviation of the series a, a + d, a + 2d, a + 2nd from its mean is

A bag contains red, blue and green balls. It is twice as likely to pick a blue ball as compared to a red ball, and it is thrice as likely to pick a green ball as compared to a red ball. What is the probability of picking a green ball? [3 MARKS]

√1+sin θ1−sin θ+√1−sin θ1+sin θ=

What is the diameter of a circle whose area is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm ?

If x=r cos θ sin ϕ, y=r cos θ cos ϕ, z=r sin θ, then find the value of x2+y2+z2.

Suppose our school is 1 km away from our house, and we go to school in the morning, and in the afternoon we come back. Then, the total displacement for the entire trip is

Inverse exists for a function which is

Question 26 If Sn denotes the sum of first n terms of an AP, then prove that S12=3(S8−S4)

A tower of height 24 m casts a shadow 50 m and at the same time, a girl of height 1.8 m casts a shadow. Find the length of her shadow.

Question 54 State whether the following statement is True or False. The given shape is a cylinder.

Slope of the line joining the points A(-3,5) and B(4,-1) is _______.

If c, d are zeroes of x2-10x-11b and a , b are zeroes of x2-10cx-11d then value of a+b+c+d= ? A) 1210 B)-1 C)2530 D)-11

The perimeter of aright angled triangle is 30cms.the length of the hypotenuse is 13cms .find the length of the other two sides

Question 1 (viii) Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials (viii) v2+4√3v−15

I didn't understand this part in my last doubt. Can u please explain.. ⇒ bx / (a2 - b2) - cy / (a2 - b2) = 1 / (a+b) ⇒ bx / (a - b) - cy / (a - b) = 1

Question 3 Find two numbers whose sum is 27 and product is 182.

Find the volume of water which can be filled in a bucket of height 8 cm and radii of ends of the bucket are 9 cm and 3 cm.

Circumcircle touches the __ of a polygon

A solid right cylinder cone of radius 30cm and height 60cm is dropped in a right circular cylinder of radius 60cm full of Water upto a height of 180 cm. Find the rise in level of water.

Factorisation of :Xsquare +x-50

A circle with centre O has tangent PQ touching the circle at B. If ABCD is a cyclic quadrilateral and ∠DBQ = 65∘ , then ∠BCD is

The product of the GCD and LCM of any two polynomials is equal to the __ of those two polynomials.

The houses in a row are numbered consecutively from 1to49.show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find the value of x.

The length, breadth and height of a room are 8m 50cm, 6m 25cm and 4m 75cm respectively. Find the length of the longest rod that can measure the dimensions of the room exactly.

Can (x-7) be the remainder on division of polynomial p(x)by (7x+2). Justify your answer

What is the sum of the first 25 terms of the A.P -10,-7,-4,.......?

The surface area of a sphere of radius 4 cm is

Excersies1.3 solutions

Mohan paid Rs 20 as sales tax on a pair of shoes worth Rs 250. Find rate of sales tax.

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

Question 4 The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures. Number of students per teacherNumber of states/U.T15−20320−25825−30930−351035−40340−45045−50050−552

Question 4 A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.

(tan2 A sec2 B−sec2 A tan2 B)=_____.

Given that the H.C.F. of 35 and 49 is 7, what is their LCM?

Classify the following as linear, quadratic and cubic polynomials: 1) x−x3 2) y+y2+4 3) 1+x 4) x−xy [ 4 MARKS]

The largest 4 digit number exactly divisible by 88 is: