24740 + Interview Questions in Mathematics

1.	What should come in place of the question mark? QAR, RAS, SAT, TAU, ?
Answer» What should come in place of the question mark? QAR, RAS, SAT, TAU, ?

Discussion

2.	In a survey of 200 students from 7 different schools, 50 people do not play NFS, 40 people do not play Dota and 10 people do not play any online game. Find the number of people who do not play both the games.
Answer» In a survey of 200 students from 7 different schools, 50 people do not play NFS, 40 people do not play Dota and 10 people do not play any online game. Find the number of people who do not play both the games.

Discussion

3.	Match the following: Given U is universal set. A, B are subsets of U. n(U), n(A), n(B) are the cardinal numbers of U, A and B respectively. Number of:
Answer» Match the following: Given U is universal set. A, B are subsets of U. n(U), n(A), n(B) are the cardinal numbers of U, A and B respectively. Number of:

3.

Match the following: Given U is universal set. A, B are subsets of U. n(U), n(A), n(B) are the cardinal numbers of U, A and B respectively. Number of:

Answer»

Match the following:

Given U is universal set.

A, B are subsets of U.

n(U), n(A), n(B) are the cardinal numbers of U, A and B respectively.

Number of:

Discussion

4.	David opened a Recurring Deposit Account in a bank and deposited Rs 300 per month for two years. If he received Rs 7725 at the time of maturity, find the rate of interest per annum. [4 MARKS]
Answer» David opened a Recurring Deposit Account in a bank and deposited Rs 300 per month for two years. If he received Rs 7725 at the time of maturity, find the rate of interest per annum. [4 MARKS]

Discussion

5.	Nikhil expressed the quadratic equation x2+10x+16=0 in the form x2+px+qx+16=0 such that the product of p and q is 16. Choose the correct values of p and q.
Answer» Nikhil expressed the quadratic equation $x^{2} + 10 x + 16 = 0$ in the form $x^{2} + p x + q x + 16 = 0$ such that the product of p and q is 16. Choose the correct values of p and q.

Discussion

6.	The area of cross-section of a pipe is 5.4 cm2 and water is pumped out of it at the rate of 27km/hr. Find (in litres) the volume of water which flows out of the pipe in one minute?
Answer» The area of cross-section of a pipe is $5.4 c m^{2}$ and water is pumped out of it at the rate of $27 k m / h r$ . Find (in litres) the volume of water which flows out of the pipe in one minute?

Discussion

7.	A sphere, a cylinder, and a cone are of the same radius and same height.(Radius is equal to height). Find the ratio of their volumes.
Answer» A sphere, a cylinder, and a cone are of the same radius and same height.(Radius is equal to height). Find the ratio of their volumes.

Discussion

8.	Between 3 and 4 there are.
Answer» Between 3 and 4 there are.

Discussion

9.	We can split the middle term of a4 + 5a2 + 6 as :
Answer» We can split the middle term of a⁴ + 5a² + 6 as :

Discussion

10.	If the point of contact of the circle x2+y2−30x+6y+109=0 with the tangent 11x - 2y - 46 = 0 is (a, b), find a + b ___
Answer» If the point of contact of the circle $x^{2} + y^{2} - 30 x + 6 y + 109 = 0$ with the tangent 11x - 2y - 46 = 0 is (a, b), find a + b ___

Discussion

11.	The diagonals of a square are:
Answer» The diagonals of a square are:

Discussion

12.	During the class, teacher introduced john with a new word "proper fraction”. Can you identify which of the following is a proper fraction?
Answer» During the class, teacher introduced john with a new word "proper fraction”. Can you identify which of the following is a proper fraction?

Discussion

13.	The value of x for which 3\| x + 2\| = 18 is
Answer» The value of x for which 3\| x + 2\| = 18 is

Discussion

14.	In the given figure, ˆAB=ˆCD, ∠AOB=55∘ and ∠BOC=70∘. Find the value of ∠COD
Answer» In the given figure, $ˆ A B = ˆ C D, ∠ A O B = 55^{\circ}$ and $∠ B O C = 70^{\circ}$ . Find the value of $∠ C O D$

14.

In the given figure, ˆAB=ˆCD, ∠AOB=55∘ and ∠BOC=70∘. Find the value of ∠COD

Answer»

In the given figure, $ˆ A B = ˆ C D, ∠ A O B = 55^{\circ}$ and $∠ B O C = 70^{\circ}$ .

Find the value of $∠ C O D$

Discussion

15.	Which equation has a constant of proportionality equal to 4?
Answer» Which equation has a constant of proportionality equal to 4?

Discussion

16.	The area in cm2 of a quadrant of a circle whose circumference is 22 cm is _______
Answer» The area in $c m^{2}$ of a quadrant of a circle whose circumference is 22 cm is _______

Discussion

17.	Question 11 If x51+51 is divided by x + 1, then the remainder is A) 0 B) 1 C) 49 D) 50
Answer» Question 11 If $x^{51} + 51$ is divided by x + 1, then the remainder is A) 0 B) 1 C) 49 D) 50

Discussion

18.	What is meant by the median of a set of observations?
Answer» What is meant by the median of a set of observations?

Discussion

19.	The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O . If ∠DAC=35∘ and ∠AOB=80∘,then find the value of ∠DBC.
Answer» $The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O . If ∠ D A C = 35^{\circ} and ∠ A O B = 80^{\circ}, then find the value of ∠ D B C .$

Discussion

20.	Which of the following is the approximated value of √2?
Answer» Which of the following is the approximated value of $\sqrt{2}$ ?

Discussion

21.	How many angles are formed between two parallel lines?
Answer» How many angles are formed between two parallel lines?

Discussion

22.	Candidates of 5 schools appear in Maths test. The data is given as follows : SchoolsNo.of CandidatesScoreA6075B4880C−55D4050E5060 If the average score of the Candidates is 64.8, find the number of candidates who appeared from School C
Answer» Candidates of 5 schools appear in Maths test. The data is given as follows : $\begin{matrix} Schools & No.of Candidates & Score A & 60 & 75 B & 48 & 80 C & - & 55 D & 40 & 50 E & 50 & 60 \end{matrix}$ If the average score of the Candidates is 64.8, find the number of candidates who appeared from School C

22.

Candidates of 5 schools appear in Maths test. The data is given as follows : SchoolsNo.of CandidatesScoreA6075B4880C−55D4050E5060 If the average score of the Candidates is 64.8, find the number of candidates who appeared from School C

Answer»

Candidates of 5 schools appear in Maths test. The data is given as follows :

$\begin{matrix} Schools & No.of Candidates & Score A & 60 & 75 B & 48 & 80 C & - & 55 D & 40 & 50 E & 50 & 60 \end{matrix}$

If the average score of the Candidates is 64.8, find the number of candidates who appeared from School C

Discussion

23.	Question 8 (iii) In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that: ΔDBC≅ΔACB
Answer» Question 8 (iii) In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that: $Δ D B C ≅ Δ A C B$

Discussion

24.	The distance by road between two towns A and B is 216 km & by rail it is 208 km. A car travels at a speed of km/hr and the train travels at a speed which is 16 km/hr faster than the car. Calculate
Answer» The distance by road between two towns A and B is 216 km & by rail it is 208 km. A car travels at a speed of km/hr and the train travels at a speed which is 16 km/hr faster than the car. Calculate

24.

The distance by road between two towns A and B is 216 km & by rail it is 208 km. A car travels at a speed of km/hr and the train travels at a speed which is 16 km/hr faster than the car. Calculate

Answer»

The distance by road between two towns A and B is 216 km & by rail it is 208 km. A car travels at a speed of km/hr and the train travels at a speed which is 16 km/hr faster than the car. Calculate

Discussion

25.	A fraction is defined as:
Answer» A fraction is defined as:

Discussion

26.	If a, b, c are three distinct positive real numbers which are in H.P., then 3a+2b2a−b+3c+2b2c−b is
Answer» If a, b, c are three distinct positive real numbers which are in H.P., then $\frac{3 a + 2 b}{2 a - b} + \frac{3 c + 2 b}{2 c - b}$ is

Discussion

27.	Given graph gives the solution of the linear equation
Answer» Given graph gives the solution of the linear equation

Discussion

28.	The equation of a circle of radius 1 touching the circles x2+y2−2\|x\|=0 is
Answer» The equation of a circle of radius 1 touching the circles $x^{2} + y^{2} - 2 \| x \| = 0$ is

Discussion

29.	Question 15 The line segment joining the points A(3,2) and B(5,1) is divided at the point P in the ratio 1:2 and it lies on the line 3x-18y+k=0. Find the value of k.
Answer» Question 15 The line segment joining the points A(3,2) and B(5,1) is divided at the point P in the ratio 1:2 and it lies on the line 3x-18y+k=0. Find the value of k.

Discussion

30.	What is the diameter (in cm) of a sphere whose surface area is 616 cm2?
Answer» What is the diameter (in cm) of a sphere whose surface area is 616 $c m^{2}$ ?

Discussion

31.	Show that the line segment which joins the midpoints of the oblique sides of a trapezium is parallel to the parallel sides.
Answer» Show that the line segment which joins the midpoints of the oblique sides of a trapezium is parallel to the parallel sides.

Discussion

32.	In a survey of 200 ladies, it was found that 142 like coffee, while 58 dislike it. Find the probability that a lady chosen at random (i) likes coffee, (ii) dislikes coffee.
Answer» In a survey of 200 ladies, it was found that 142 like coffee, while 58 dislike it. Find the probability that a lady chosen at random (i) likes coffee, (ii) dislikes coffee.

32.

In a survey of 200 ladies, it was found that 142 like coffee, while 58 dislike it. Find the probability that a lady chosen at random (i) likes coffee, (ii) dislikes coffee.

Answer»

In a survey of 200 ladies, it was found that 142 like coffee, while 58 dislike it.

Find the probability that a lady chosen at random

(i) likes coffee, (ii) dislikes coffee.

Discussion

33.	If h,S and V denote respectively the height,curved surface area and volume of a right circular cone,then 3πVh3−S2h2+9V2 is equal to
Answer» If h,S and V denote respectively the height,curved surface area and volume of a right circular cone,then $3 π V h^{3} - S^{2} h^{2} + 9 V^{2}$ is equal to

Discussion

34.	A bus goes A to B with 45km /h and return B to A with 85km/h , what is the average speed
Answer» A bus goes A to B with 45km /h and return B to A with 85km/h , what is the average speed

Discussion

35.	Show that the semiperimeter of the triangle is also doubled when each side of the triangle is doubled.
Answer» Show that the semiperimeter of the triangle is also doubled when each side of the triangle is doubled.

Discussion

36.	For the given linear equation y−3x+1=0, what are the values of y for x=[3,−4,2]?
Answer» For the given linear equation $y - 3 x + 1 = 0,$ what are the values of $y f o r x = [3, - 4, 2] ?$

Discussion

37.	PQRS is a parallelogram in which ∠QRS and ∠PQR are in ratio 7 : 3. Find the sum of ∠PQR and ∠PRQ.
Answer» PQRS is a parallelogram in which $∠ Q R S$ and $∠ P Q R$ are in ratio 7 : 3. Find the sum of $∠ P Q R$ and $∠ P R Q .$

Discussion

38.	Which of the following is a polynomial ? (a) x−1x+2 (b) 1x+5 (c) √x+3 (d) −4
Answer» Which of the following is a polynomial ? (a) $x - \frac{1}{x} + 2$ (b) $\frac{1}{x} + 5$ (c) $\sqrt{x} + 3$ (d) $- 4$

Discussion

39.	If the curved surface area of a cylinder is 1760cm2 and its base radius is 14 cm then its height is (a) 10cm (b) 15 cm (c)20 cm (d) 40 cm
Answer» If the curved surface area of a cylinder is $1760 c m^{2}$ and its base radius is 14 cm then its height is (a) 10cm (b) 15 cm (c)20 cm (d) 40 cm

39.

If the curved surface area of a cylinder is 1760cm2 and its base radius is 14 cm then its height is (a) 10cm (b) 15 cm (c)20 cm (d) 40 cm

Answer»

If the curved surface area of a cylinder is $1760 c m^{2}$ and its base radius is 14 cm then its height is

(a) 10cm (b) 15 cm (c)20 cm (d) 40 cm

Discussion

40.	In the figure, if line segment AB is parallel to the line segment CD, what is the value of y?
Answer» In the figure, if line segment AB is parallel to the line segment CD, what is the value of y?

40.

In the figure, if line segment AB is parallel to the line segment CD, what is the value of y?

Answer»

In the figure, if line segment AB is parallel to the line segment CD, what is the value of y?

Discussion

41.	75×75+2×75×25+25×25 is equal to
Answer» $75 \times 75 + 2 \times 75 \times 25 + 25 \times 25 i s e q u a l t o$

Discussion

42.	A cylindrical bucket,28 cm in diameter and 72 cm high, is full of water. The water is emptied into a rectangular tank, 66 cm long and 28 cm wide. Find the height of the water level in the tank.
Answer» A cylindrical bucket,28 cm in diameter and 72 cm high, is full of water. The water is emptied into a rectangular tank, 66 cm long and 28 cm wide. Find the height of the water level in the tank.

Discussion

43.	If the angles of a quadrilateral are in the ratio 3 :5 : 9 : 13. Then find the measure of the smallest angle.
Answer» If the angles of a quadrilateral are in the ratio 3 :5 : 9 : 13. Then find the measure of the smallest angle.

Discussion

44.	Using ruler and compasses only, construct a △ABC, from the following data : AB + BC + CA = 12 cm, ∠B=45∘ and ∠C=60∘.
Answer» Using ruler and compasses only, construct a $△$ ABC, from the following data : AB + BC + CA = 12 cm, $∠ B = 45^{\circ} a n d ∠ C = 60^{\circ}$ .

44.

Using ruler and compasses only, construct a △ABC, from the following data : AB + BC + CA = 12 cm, ∠B=45∘ and ∠C=60∘.

Answer»

Using ruler and compasses only, construct a $△$ ABC, from the following data :

AB + BC + CA = 12 cm, $∠ B = 45^{\circ} a n d ∠ C = 60^{\circ}$ .

Discussion

45.	If A=[α22α] and \|A3\|=125, then α is equal to
Answer» If $A = [\begin{matrix} α & 2 2 & α \end{matrix}]$ and $\| A^{3} \| = 125$ , then $α$ is equal to

Discussion

46.	A metallic sphere of radius 10.5 cm is melted and then recast into smaller cones, each of radius 3.5 cm and height 3 cm, How many cones are obtained?
Answer» A metallic sphere of radius 10.5 cm is melted and then recast into smaller cones, each of radius 3.5 cm and height 3 cm, How many cones are obtained?

Discussion

47.	In Fig. PQ > PR. QS and RS are the bisectors of ∠Q and ∠R respectively Prove that SQ>SR
Answer» In Fig. PQ > PR. QS and RS are the bisectors of $∠$ Q and $∠$ R respectively Prove that SQ>SR

47.

In Fig. PQ > PR. QS and RS are the bisectors of ∠Q and ∠R respectively Prove that SQ>SR

Answer»

In Fig. PQ > PR. QS and RS are the bisectors of $∠$ Q and $∠$ R respectively

Prove that SQ>SR

Discussion

48.	Question 3 In the given figure, ΔCDE is an equilateral triangle formed on a side CD of a square ABCD. Show that \Delta ADE \cong \Delta BCE\)
Answer» Question 3 In the given figure, $Δ C D E$ is an equilateral triangle formed on a side CD of a square ABCD. Show that \Delta ADE \cong \Delta BCE\)

Discussion

49.	The wall clock takes 6 seconds to strike 4, how much time it will take to strike 12?
Answer» The wall clock takes $6$ seconds to strike $4$ , how much time it will take to strike $12$ ?

Discussion

50.	If √5+1/√5-1 y=√5-1/√5+1 find x2+y2
Answer» If √5+1/√5-1 y=√5-1/√5+1 find x^2_+y₂

50.

If √5+1/√5-1 y=√5-1/√5+1 find x2+y2

Answer»

If √5+1/√5-1 y=√5-1/√5+1

find x^2_+y₂

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

What should come in place of the question mark? QAR, RAS, SAT, TAU, ?

In a survey of 200 students from 7 different schools, 50 people do not play NFS, 40 people do not play Dota and 10 people do not play any online game. Find the number of people who do not play both the games.

Match the following: Given U is universal set. A, B are subsets of U. n(U), n(A), n(B) are the cardinal numbers of U, A and B respectively. Number of:

David opened a Recurring Deposit Account in a bank and deposited Rs 300 per month for two years. If he received Rs 7725 at the time of maturity, find the rate of interest per annum. [4 MARKS]

Nikhil expressed the quadratic equation x2+10x+16=0 in the form x2+px+qx+16=0 such that the product of p and q is 16. Choose the correct values of p and q.

The area of cross-section of a pipe is 5.4 cm2 and water is pumped out of it at the rate of 27km/hr. Find (in litres) the volume of water which flows out of the pipe in one minute?

A sphere, a cylinder, and a cone are of the same radius and same height.(Radius is equal to height). Find the ratio of their volumes.

Between 3 and 4 there are.

We can split the middle term of a4 + 5a2 + 6 as :

If the point of contact of the circle x2+y2−30x+6y+109=0 with the tangent 11x - 2y - 46 = 0 is (a, b), find a + b ___

The diagonals of a square are:

During the class, teacher introduced john with a new word "proper fraction”. Can you identify which of the following is a proper fraction?

The value of x for which 3| x + 2| = 18 is

In the given figure, ˆAB=ˆCD, ∠AOB=55∘ and ∠BOC=70∘. Find the value of ∠COD

Which equation has a constant of proportionality equal to 4?

The area in cm2 of a quadrant of a circle whose circumference is 22 cm is _______

Question 11 If x51+51 is divided by x + 1, then the remainder is A) 0 B) 1 C) 49 D) 50

What is meant by the median of a set of observations?

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O . If ∠DAC=35∘ and ∠AOB=80∘,then find the value of ∠DBC.

Which of the following is the approximated value of √2?

How many angles are formed between two parallel lines?

Candidates of 5 schools appear in Maths test. The data is given as follows : SchoolsNo.of CandidatesScoreA6075B4880C−55D4050E5060 If the average score of the Candidates is 64.8, find the number of candidates who appeared from School C

Question 8 (iii) In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that: ΔDBC≅ΔACB

The distance by road between two towns A and B is 216 km &amp; by rail it is 208 km. A car travels at a speed of km/hr and the train travels at a speed which is 16 km/hr faster than the car. Calculate

A fraction is defined as:

If a, b, c are three distinct positive real numbers which are in H.P., then 3a+2b2a−b+3c+2b2c−b is

Given graph gives the solution of the linear equation

The equation of a circle of radius 1 touching the circles x2+y2−2|x|=0 is

Question 15 The line segment joining the points A(3,2) and B(5,1) is divided at the point P in the ratio 1:2 and it lies on the line 3x-18y+k=0. Find the value of k.

What is the diameter (in cm) of a sphere whose surface area is 616 cm2?

Show that the line segment which joins the midpoints of the oblique sides of a trapezium is parallel to the parallel sides.

In a survey of 200 ladies, it was found that 142 like coffee, while 58 dislike it. Find the probability that a lady chosen at random (i) likes coffee, (ii) dislikes coffee.

If h,S and V denote respectively the height,curved surface area and volume of a right circular cone,then 3πVh3−S2h2+9V2 is equal to

A bus goes A to B with 45km /h and return B to A with 85km/h , what is the average speed

Show that the semiperimeter of the triangle is also doubled when each side of the triangle is doubled.

For the given linear equation y−3x+1=0, what are the values of y for x=[3,−4,2]?

PQRS is a parallelogram in which ∠QRS and ∠PQR are in ratio 7 : 3. Find the sum of ∠PQR and ∠PRQ.

Which of the following is a polynomial ? (a) x−1x+2 (b) 1x+5 (c) √x+3 (d) −4

If the curved surface area of a cylinder is 1760cm2 and its base radius is 14 cm then its height is (a) 10cm (b) 15 cm (c)20 cm (d) 40 cm

In the figure, if line segment AB is parallel to the line segment CD, what is the value of y?

75×75+2×75×25+25×25 is equal to

A cylindrical bucket,28 cm in diameter and 72 cm high, is full of water. The water is emptied into a rectangular tank, 66 cm long and 28 cm wide. Find the height of the water level in the tank.

If the angles of a quadrilateral are in the ratio 3 :5 : 9 : 13. Then find the measure of the smallest angle.

Using ruler and compasses only, construct a △ABC, from the following data : AB + BC + CA = 12 cm, ∠B=45∘ and ∠C=60∘.

If A=[α22α] and |A3|=125, then α is equal to

A metallic sphere of radius 10.5 cm is melted and then recast into smaller cones, each of radius 3.5 cm and height 3 cm, How many cones are obtained?

In Fig. PQ &gt; PR. QS and RS are the bisectors of ∠Q and ∠R respectively Prove that SQ&gt;SR

Question 3 In the given figure, ΔCDE is an equilateral triangle formed on a side CD of a square ABCD. Show that \Delta ADE \cong \Delta BCE\)

The wall clock takes 6 seconds to strike 4, how much time it will take to strike 12?

If √5+1/√5-1 y=√5-1/√5+1 find x2+y2

The distance by road between two towns A and B is 216 km & by rail it is 208 km. A car travels at a speed of km/hr and the train travels at a speed which is 16 km/hr faster than the car. Calculate

In Fig. PQ > PR. QS and RS are the bisectors of ∠Q and ∠R respectively Prove that SQ>SR