32581 + Interview Questions in Mathematics

1.	The angles of elevation of the top of a tower from two points at distances ‘a’ and ‘b’ metres from the base and in the same straight line with it, are complementary. The height of the tower is:
Answer» The angles of elevation of the top of a tower from two points at distances ‘a’ and ‘b’ metres from the base and in the same straight line with it, are complementary. The height of the tower is:

Discussion

2.	In ΔABC, if a triangle is formed by joining the midpoints of the sides, the area of the triangle is___ times the area of Δ ABC.
Answer» In $Δ$ ABC, if a triangle is formed by joining the midpoints of the sides, the area of the triangle is___ times the area of $Δ$ ABC.

Discussion

3.	The age of the father is equal to the age of his 5 sons. After 15yrs,the sum of the ages of the sins will be twice the age of their father. Find the father's age.
Answer» The age of the father is equal to the age of his 5 sons. After 15yrs,the sum of the ages of the sins will be twice the age of their father. Find the father's age.

Discussion

4.	Two chords AP and QM of a circle intersect internally at a point R. If AR = 21 cm, RP = 9 cm, and PQ = 21 cm, then find MR.
Answer» Two chords AP and QM of a circle intersect internally at a point R. If AR = 21 cm, RP = 9 cm, and PQ = 21 cm, then find MR.

Discussion

5.	2x2+Kx+3 . Find k using quadratic formula.
Answer» 2x²+Kx+3 . Find k using quadratic formula.

Discussion

6.	Nisha goes to a shop to buy a box costing Rs. 981. The rate of the sales tax is 9 %. She tells the shopkeepers to allow a discount on the price of the box to such an extent that she pays Rs. 981 inclusive all the tax. Find the discount in the price of the box.
Answer» Nisha goes to a shop to buy a box costing Rs. 981. The rate of the sales tax is 9 %. She tells the shopkeepers to allow a discount on the price of the box to such an extent that she pays Rs. 981 inclusive all the tax. Find the discount in the price of the box.

Discussion

7.	ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with center O, has been inscribed inside the triangle.Find it's radius.
Answer» ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with center O, has been inscribed inside the triangle.Find it's radius.

7.

ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with center O, has been inscribed inside the triangle.Find it's radius.

Answer»

ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with center O, has been inscribed inside the triangle.Find it's radius.

Discussion

8.	Define equal matrices. Give an example.
Answer» Define equal matrices. Give an example.

Discussion

9.	Why we write ax+b in place of r(x) when we have to find remainder in p(x)=[(x-α)(x-β]q(x)+r(x)
Answer» Why we write ax+b in place of r(x) when we have to find remainder in p(x)=[(x-α)(x-β]q(x)+r(x)

Discussion

10.	If xϵZ, solve the inequation 2+4x<2x−5≤3x. Also, represent its solution set on a number line.
Answer» If $x ϵ Z,$ solve the inequation $2 + 4 x < 2 x - 5 \leq 3 x$ . Also, represent its solution set on a number line.

Discussion

11.	Show that one and only out of n , n+2 , n+4 Is divisible by 3 where n is any positive integer.
Answer» Show that one and only out of n , n+2 , n+4 Is divisible by 3 where n is any positive integer.

Discussion

12.	The area of a big rectangular room is 300 m2. If the length were decreased by 5 m and the breadth increased by 5 m; the area would be unaltered. Find the lenghth of the room.
Answer» The area of a big rectangular room is 300 $m^{2}$ . If the length were decreased by 5 m and the breadth increased by 5 m; the area would be unaltered. Find the lenghth of the room.

Discussion

13.	The coordinates of two points A and B are (−1,7) and (4,−3). Then the coordinates of the point P on AB such that AP:PB = 2:3 are
Answer» The coordinates of two points A and B are $(- 1, 7)$ and $(4, - 3)$ . Then the coordinates of the point P on AB such that AP:PB = 2:3 are

Discussion

14.	If one root of the equation 2x2+ax+6=0 is 3, then find the value of a.
Answer» If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then find the value of a.

Discussion

15.	What do we mean by significant figure? (With examples of all cases possible)
Answer» What do we mean by significant figure? (With examples of all cases possible)

Discussion

16.	Without actually dividing , determine the decimal expansion of 17/125.
Answer» Without actually dividing , determine the decimal expansion of 17/125.

Discussion

17.	2 coins are tossed once. Find the probability of getting:
Answer» 2 coins are tossed once. Find the probability of getting:

Discussion

18.	A bag contains 12 white and black balls out of which x are black. If one ball is drawn at random, what is the probability it will be a white ball ?
Answer» A bag contains 12 white and black balls out of which $x$ are black. If one ball is drawn at random, what is the probability it will be a white ball ?

Discussion

19.	If triangle PQR is right angled at R, then the value of cos ( P + Q ) is:
Answer» If triangle PQR is right angled at R, then the value of cos ( P + Q ) is:

Discussion

20.	A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60 cm, calculate the speed per hour with which the boy is cycling.
Answer» A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60 cm, calculate the speed per hour with which the boy is cycling.

Discussion

21.	What must be subtracted from 32√45 + 22√75 + 2√245 to get 2√5
Answer» What must be subtracted from 3 $\sqrt[2]{45}$ + 2 $\sqrt[2]{75}$ + $\sqrt[2]{245}$ to get $\sqrt[2]{5}$

Discussion

22.	Find geometric mean of first six natural numbers.
Answer» Find geometric mean of first six natural numbers.

Discussion

23.	The number of sixes hit by M.S Dhoni from the year 2010-2017 is given below. Find the average number of sixes hit by Dhoni from the year 2012 to 2016. Number of sixesYear402010202011152012172013112014092015202016132017
Answer» The number of sixes hit by M.S Dhoni from the year 2010-2017 is given below. Find the average number of sixes hit by Dhoni from the year 2012 to 2016. $\begin{matrix} Number of sixes & Year 40 & 2010 20 & 2011 15 & 2012 17 & 2013 11 & 2014 09 & 2015 20 & 2016 13 & 2017 \end{matrix}$

23.

The number of sixes hit by M.S Dhoni from the year 2010-2017 is given below. Find the average number of sixes hit by Dhoni from the year 2012 to 2016. Number of sixesYear402010202011152012172013112014092015202016132017

Answer»

The number of sixes hit by M.S Dhoni from the year 2010-2017 is given below. Find the average number of sixes hit by Dhoni from the year 2012 to 2016.

$\begin{matrix} Number of sixes & Year 40 & 2010 20 & 2011 15 & 2012 17 & 2013 11 & 2014 09 & 2015 20 & 2016 13 & 2017 \end{matrix}$

Discussion

24.	If ax2+bx+c is a monomial in x , what can be said about a, b and c?
Answer» If $a x^{2} + b x + c$ is a monomial in $x$ , what can be said about $a$ , $b$ and $c$ ?

Discussion

25.	The printed price of a mobile phone is ₹ 4200. The rate of sales tax on it is 6%. Find the price at which the mobile phone can be purchased.
Answer» The printed price of a mobile phone is ₹ 4200. The rate of sales tax on it is 6%. Find the price at which the mobile phone can be purchased.

Discussion

26.	A positive integer a is written as a=3q+r and a=4k+r , where q,k and r are whole numbers. Find possibilities of q and k
Answer» A positive integer a is written as a=3q+r and a=4k+r , where q,k and r are whole numbers. Find possibilities of q and k

Discussion

27.	At a party each child gives a gift to the rest.There were 132 gifts altogether. Find the number of Children.
Answer» At a party each child gives a gift to the rest.There were 132 gifts altogether. Find the number of Children.

Discussion

28.	If the numerator of a fraction is increased by 20% and the denominator is increased by 25%, the fraction obtained is 35. What was the original fraction?
Answer» If the numerator of a fraction is increased by $20 %$ and the denominator is increased by $25 %$ , the fraction obtained is $\frac{3}{5}$ . What was the original fraction?

Discussion

29.	Draw an inscribing circle of a regular hexagon of side 5.8 cm and find the length of the radius.
Answer» Draw an inscribing circle of a regular hexagon of side 5.8 cm and find the length of the radius.

Discussion

30.	The median of the following observations 11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38, 47 arranged in ascending order is 24. Find the value of x and hence find the mean. [4 MARKS]
Answer» The median of the following observations 11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38, 47 arranged in ascending order is 24. Find the value of x and hence find the mean. [4 MARKS]

Discussion

31.	There is a circular swimming pool with centre O. The radius of pool is 5 m. There are 2 points on the wall of the pool separated by distance of 7 m. These 2 points are named A and B. A rope is attached between A and B. This rope separates the shallow section of pool from deep section of pool. The shallow section is the smaller section. Which of following statements is true?
Answer» There is a circular swimming pool with centre O. The radius of pool is 5 m. There are 2 points on the wall of the pool separated by distance of 7 m. These 2 points are named A and B. A rope is attached between A and B. This rope separates the shallow section of pool from deep section of pool. The shallow section is the smaller section. Which of following statements is true?

31.

There is a circular swimming pool with centre O. The radius of pool is 5 m. There are 2 points on the wall of the pool separated by distance of 7 m. These 2 points are named A and B. A rope is attached between A and B. This rope separates the shallow section of pool from deep section of pool. The shallow section is the smaller section. Which of following statements is true?

Answer»

There is a circular swimming pool with centre O. The radius of pool is 5 m. There are 2 points on the wall of the pool separated by distance of 7 m. These 2 points are named A and B. A rope is attached between A and B. This rope separates the shallow section of pool from deep section of pool. The shallow section is the smaller section. Which of following statements is true?

Discussion

32.	A copper wire 3 mm in diameter is wound about a cylinder whose length is 1.2 m and diameter 10 cm so as to cover the curved surface of the cylinder. Find the length of the wire
Answer» A copper wire 3 mm in diameter is wound about a cylinder whose length is 1.2 m and diameter 10 cm so as to cover the curved surface of the cylinder. Find the length of the wire

Discussion

33.	Find the mean of the following frequency table by step-deviation method: [3 MARKS] Class intervalFrequency10−15515−20620−25825−301230−35635−403
Answer» Find the mean of the following frequency table by step-deviation method: [3 MARKS] $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 15 & 5 15 - 20 & 6 20 - 25 & 8 25 - 30 & 12 30 - 35 & 6 35 - 40 & 3 \end{matrix}$

Discussion

34.	David opened a Recurring Deposit Account in a bank and deposited ₹ 300 per month for two years. If he received ₹ 7,725 at the time of maturity, find the rate of interest per annum.
Answer» David opened a Recurring Deposit Account in a bank and deposited ₹ 300 per month for two years. If he received ₹ 7,725 at the time of maturity, find the rate of interest per annum.

Discussion

35.	What is meant by common difference? Examples of common difference
Answer» What is meant by common difference? Examples of common difference

Discussion

36.	A cylindrical container with an internal radius of its base 10 cm, contains water up to a height of 7 cm. Find the area of the wet surface of the cylinder.
Answer» A cylindrical container with an internal radius of its base 10 cm, contains water up to a height of 7 cm. Find the area of the wet surface of the cylinder.

Discussion

37.	If each edge of a cube is increased by 50%, find the percentage increase in its surface area.
Answer» If each edge of a cube is increased by $50 %$ , find the percentage increase in its surface area.

Discussion

38.	In the given figures, O is the centre of the circle and AB is a tangent to it at point B. ∠BDC = 650 Find ∠BAO.
Answer» In the given figures, O is the centre of the circle and AB is a tangent to it at point B. $∠$ BDC = $65^{0}$ Find $∠$ BAO.

38.

In the given figures, O is the centre of the circle and AB is a tangent to it at point B. ∠BDC = 650 Find ∠BAO.

Answer»

In the given figures, O is the centre of the circle and AB is a tangent to it at point B. $∠$ BDC = $65^{0}$ Find $∠$ BAO.

Discussion

39.	Four numbers in the ratio 1: 3: 4: 7 add up to give a sum of 105. Find the value of the biggest number. ___
Answer» Four numbers in the ratio 1: 3: 4: 7 add up to give a sum of 105. Find the value of the biggest number. ___

Discussion

40.	If in a rectangle, the length is increased and breadth is reduced each by 2 meters, then the area is reduced by 28 sq meters. If the length is reduced by 1 meter and breadth is increased by 2 meters, then the area is increased by 33 sq meters. Find the length and breadth of the rectangle.
Answer» If in a rectangle, the length is increased and breadth is reduced each by 2 meters, then the area is reduced by 28 sq meters. If the length is reduced by 1 meter and breadth is increased by 2 meters, then the area is increased by 33 sq meters. Find the length and breadth of the rectangle.

Discussion

41.	What is the angle between the tangent at any point on the circle and the radius through the point of contact?
Answer» What is the angle between the tangent at any point on the circle and the radius through the point of contact?

Discussion

42.	If AP:PQ = 1:2 and PQ:QB = 4:5, then Q divides line segment AB in the ratio of?
Answer» If AP:PQ = 1:2 and PQ:QB = 4:5, then Q divides line segment AB in the ratio of?

Discussion

43.	A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is (i) Divisible by 2 or 3 (ii) A prime number
Answer» A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is (i) Divisible by 2 or 3 (ii) A prime number

43.

A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is (i) Divisible by 2 or 3 (ii) A prime number

Answer» A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box.

Find the probability that the number on the drawn card is

(i) Divisible by 2 or 3

(ii) A prime number

Discussion

44.	If log5 (3x−2)=2, then x is equal to
Answer» If $l o g_{5} (3 x - 2) = 2$ , then $x$ is equal to

Discussion

45.	Which measure of central tendency takes in account all the data?
Answer» Which measure of central tendency takes in account all the data?

Discussion

46.	Numbers 1 to 50 are written on 50 slips of paper and placed in a basket. One slip is taken out at random. Find the probability that the slip may contain i) a number more than 40 ii) a perfect square
Answer» Numbers 1 to 50 are written on 50 slips of paper and placed in a basket. One slip is taken out at random. Find the probability that the slip may contain i) a number more than 40 ii) a perfect square

46.

Numbers 1 to 50 are written on 50 slips of paper and placed in a basket. One slip is taken out at random. Find the probability that the slip may contain i) a number more than 40 ii) a perfect square

Answer»

Numbers 1 to 50 are written on 50 slips of paper and placed in a basket. One slip is taken out at random. Find the probability that the slip may contain

i) a number more than 40

ii) a perfect square

Discussion

47.	Question 4 (vii) Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. (vii) 0, - 4, - 8, - 12 …
Answer» Question 4 (vii) Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. (vii) 0, - 4, - 8, - 12 …

Discussion

48.	A funnel is the combination of (a) a cylinder and a cone (b) a cylinder and a hemisphere (c) a cylinder and frustum of a cone (d) a cone and a hemisphere
Answer» A funnel is the combination of (a) a cylinder and a cone (b) a cylinder and a hemisphere (c) a cylinder and frustum of a cone (d) a cone and a hemisphere

48.

A funnel is the combination of (a) a cylinder and a cone (b) a cylinder and a hemisphere (c) a cylinder and frustum of a cone (d) a cone and a hemisphere

Answer»

A funnel is the combination of

(a) a cylinder and a cone

(b) a cylinder and a hemisphere

(c) a cylinder and frustum of a cone

(d) a cone and a hemisphere

Discussion

49.	Find the sum f two middle most terms of the AP−43,−1,−23,...,413
Answer» Find the sum f two middle most terms of the $A P - \frac{4}{3}, - 1, \frac{- 2}{3}, . . ., 4 \frac{1}{3}$

Discussion

50.	Statement1 : cos2A + sin2A = 1 Statement2 : sec2A + tan2A = 1
Answer» Statement1 : $c o s^{2} A$ + $s i n^{2} A$ = 1 Statement2 : $s e c^{2} A$ + $t a n^{2} A$ = 1

50.

Statement1 : cos2A + sin2A = 1 Statement2 : sec2A + tan2A = 1

Answer»

Statement1 : $c o s^{2} A$ + $s i n^{2} A$ = 1

Statement2 : $s e c^{2} A$ + $t a n^{2} A$ = 1

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The angles of elevation of the top of a tower from two points at distances ‘a’ and ‘b’ metres from the base and in the same straight line with it, are complementary. The height of the tower is:

In ΔABC, if a triangle is formed by joining the midpoints of the sides, the area of the triangle is___ times the area of Δ ABC.

The age of the father is equal to the age of his 5 sons. After 15yrs,the sum of the ages of the sins will be twice the age of their father. Find the father's age.

Two chords AP and QM of a circle intersect internally at a point R. If AR = 21 cm, RP = 9 cm, and PQ = 21 cm, then find MR.

2x2+Kx+3 . Find k using quadratic formula.

Nisha goes to a shop to buy a box costing Rs. 981. The rate of the sales tax is 9 %. She tells the shopkeepers to allow a discount on the price of the box to such an extent that she pays Rs. 981 inclusive all the tax. Find the discount in the price of the box.

ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with center O, has been inscribed inside the triangle.Find it's radius.

Define equal matrices. Give an example.

Why we write ax+b in place of r(x) when we have to find remainder in p(x)=[(x-α)(x-β]q(x)+r(x)

If xϵZ, solve the inequation 2+4x&lt;2x−5≤3x. Also, represent its solution set on a number line.

Show that one and only out of n , n+2 , n+4 Is divisible by 3 where n is any positive integer.

The area of a big rectangular room is 300 m2. If the length were decreased by 5 m and the breadth increased by 5 m; the area would be unaltered. Find the lenghth of the room.

The coordinates of two points A and B are (−1,7) and (4,−3). Then the coordinates of the point P on AB such that AP:PB = 2:3 are

If one root of the equation 2x2+ax+6=0 is 3, then find the value of a.

What do we mean by significant figure? (With examples of all cases possible)

Without actually dividing , determine the decimal expansion of 17/125.

2 coins are tossed once. Find the probability of getting:

A bag contains 12 white and black balls out of which x are black. If one ball is drawn at random, what is the probability it will be a white ball ?

If triangle PQR is right angled at R, then the value of cos ( P + Q ) is:

A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60 cm, calculate the speed per hour with which the boy is cycling.

What must be subtracted from 32√45 + 22√75 + 2√245 to get 2√5

Find geometric mean of first six natural numbers.

The number of sixes hit by M.S Dhoni from the year 2010-2017 is given below. Find the average number of sixes hit by Dhoni from the year 2012 to 2016. Number of sixesYear402010202011152012172013112014092015202016132017

If ax2+bx+c is a monomial in x , what can be said about a, b and c?

The printed price of a mobile phone is ₹ 4200. The rate of sales tax on it is 6%. Find the price at which the mobile phone can be purchased.

A positive integer a is written as a=3q+r and a=4k+r , where q,k and r are whole numbers. Find possibilities of q and k

At a party each child gives a gift to the rest.There were 132 gifts altogether. Find the number of Children.

If the numerator of a fraction is increased by 20% and the denominator is increased by 25%, the fraction obtained is 35. What was the original fraction?

Draw an inscribing circle of a regular hexagon of side 5.8 cm and find the length of the radius.

The median of the following observations 11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38, 47 arranged in ascending order is 24. Find the value of x and hence find the mean. [4 MARKS]

A copper wire 3 mm in diameter is wound about a cylinder whose length is 1.2 m and diameter 10 cm so as to cover the curved surface of the cylinder. Find the length of the wire

Find the mean of the following frequency table by step-deviation method: [3 MARKS] Class intervalFrequency10−15515−20620−25825−301230−35635−403

David opened a Recurring Deposit Account in a bank and deposited ₹ 300 per month for two years. If he received ₹ 7,725 at the time of maturity, find the rate of interest per annum.

What is meant by common difference? Examples of common difference

A cylindrical container with an internal radius of its base 10 cm, contains water up to a height of 7 cm. Find the area of the wet surface of the cylinder.

If each edge of a cube is increased by 50%, find the percentage increase in its surface area.

In the given figures, O is the centre of the circle and AB is a tangent to it at point B. ∠BDC = 650 Find ∠BAO.

Four numbers in the ratio 1: 3: 4: 7 add up to give a sum of 105. Find the value of the biggest number. ___

If in a rectangle, the length is increased and breadth is reduced each by 2 meters, then the area is reduced by 28 sq meters. If the length is reduced by 1 meter and breadth is increased by 2 meters, then the area is increased by 33 sq meters. Find the length and breadth of the rectangle.

What is the angle between the tangent at any point on the circle and the radius through the point of contact?

If AP:PQ = 1:2 and PQ:QB = 4:5, then Q divides line segment AB in the ratio of?

A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is (i) Divisible by 2 or 3 (ii) A prime number

If log5 (3x−2)=2, then x is equal to

Which measure of central tendency takes in account all the data?

Numbers 1 to 50 are written on 50 slips of paper and placed in a basket. One slip is taken out at random. Find the probability that the slip may contain i) a number more than 40 ii) a perfect square

Question 4 (vii) Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. (vii) 0, - 4, - 8, - 12 …

A funnel is the combination of (a) a cylinder and a cone (b) a cylinder and a hemisphere (c) a cylinder and frustum of a cone (d) a cone and a hemisphere

Find the sum f two middle most terms of the AP−43,−1,−23,...,413

Statement1 : cos2A + sin2A = 1 Statement2 : sec2A + tan2A = 1

If xϵZ, solve the inequation 2+4x<2x−5≤3x. Also, represent its solution set on a number line.