24740 + Interview Questions in Mathematics

1.	The reference to a bow and an arrow in the passage-
Answer» The reference to a bow and an arrow in the passage-

Discussion

2.	In fig AC=XD,C is the mid point of AB and D is the mid point of the segmentAB PandQ are the mid point of the line segment AC and BC respectively. Prove that AP=BQ=1/4AB
Answer» In fig AC=XD,C is the mid point of AB and D is the mid point of the segmentAB PandQ are the mid point of the line segment AC and BC respectively. Prove that AP=BQ=1/4AB

Discussion

3.	A storage tank consists of a circular cylinder with a hemisphere at join on either end .if the external diameter of the cylinder be 1.4 M and its length be 8 m. find the cost of painting it on the outside at the rate rupees 10 per metre square.
Answer» A storage tank consists of a circular cylinder with a hemisphere at join on either end .if the external diameter of the cylinder be 1.4 M and its length be 8 m. find the cost of painting it on the outside at the rate rupees 10 per metre square.

Discussion

4.	Find an irrational number between 57 and 79. How many more there may be?
Answer» Find an irrational number between $\frac{5}{7}$ and $\frac{7}{9}$ . How many more there may be?

Discussion

5.	In the given figure, △ABC is an isosceles triangle with AB=AC and O is the centre of the circle. If ∠AOB=α and ∠AOC=β, then which of the following is true?
Answer» In the given figure, $△ A B C$ is an isosceles triangle with $A B = A C$ and $O$ is the centre of the circle. If $∠ A O B = α$ and $∠ A O C = β$ , then which of the following is true?

5.

In the given figure, △ABC is an isosceles triangle with AB=AC and O is the centre of the circle. If ∠AOB=α and ∠AOC=β, then which of the following is true?

Answer»

In the given figure, $△ A B C$ is an isosceles triangle with $A B = A C$ and $O$ is the centre of the circle. If $∠ A O B = α$ and $∠ A O C = β$ , then which of the following is true?

Discussion

6.	Why pie is irrational ?
Answer» Why pie is irrational ?

Discussion

7.	The difference of areas of two squares is A. The difference of their perimeters is P. The sum of their perimeters is
Answer» The difference of areas of two squares is A. The difference of their perimeters is P. The sum of their perimeters is

Discussion

8.	Question 10 The distribution of heights (in cm) of 96 children is given below. Height(in cm)Number of children124−128 5128−132 8132−136 17136−140 24140−144 16144−148 12148−152 6152−156 4156−160 3160−164 1 Draw a less than type cumulative frequency curve for this data and use it to compute median height of the children.
Answer» Question 10 The distribution of heights (in cm) of 96 children is given below. $\begin{matrix} H e i g h t (i n c m) & N u m b e r o f c h i l d r e n 124 - 128 & 5 128 - 132 & 8 132 - 136 & 17 136 - 140 & 24 140 - 144 & 16 144 - 148 & 12 148 - 152 & 6 152 - 156 & 4 156 - 160 & 3 160 - 164 & 1 \end{matrix}$ Draw a less than type cumulative frequency curve for this data and use it to compute median height of the children.

Discussion

9.	A die is thrown 100 times . If the probability of getting an even number is 25 . How many times an odd number is obtaincd?
Answer» A die is thrown 100 times . If the probability of getting an even number is $\frac{2}{5}$ . How many times an odd number is obtaincd?

Discussion

10.	The order of a column matrix can be
Answer» The order of a column matrix can be

Discussion

11.	When p(x)=x4+2x3−3x2+x−1 is divided by (x-2), the remainder is (a) 0 (b) -1 (c) -15 (d) 21
Answer» When $p (x) = x^{4} + 2 x^{3} - 3 x^{2} + x - 1$ is divided by (x-2), the remainder is (a) 0 (b) -1 (c) -15 (d) 21

Discussion

12.	A boy is cycling such that the wheels of the cycle are making 140 revolutions per hour. If the diameter of the wheel is 60cm then calculate the speed (in km/h) with which the boy is cycling.
Answer» A boy is cycling such that the wheels of the cycle are making $140$ revolutions per hour. If the diameter of the wheel is $60 c m$ then calculate the speed (in $k m / h$ ) with which the boy is cycling.

Discussion

13.	In figure, QA and PB are perpendicular to AB. If AO = 10cm, BO = 6cm and PB = 9cm. Find AQ.
Answer» In figure, QA and PB are perpendicular to AB. If AO = 10cm, BO = 6cm and PB = 9cm. Find AQ.

13.

In figure, QA and PB are perpendicular to AB. If AO = 10cm, BO = 6cm and PB = 9cm. Find AQ.

Answer»

In figure, QA and PB are perpendicular to AB. If AO = 10cm, BO = 6cm and PB = 9cm.
Find AQ.

Discussion

14.	Check whether the points (1, 5), (0, 3) lie on the line y = 3 + 2x. [3 MARKS]
Answer» Check whether the points (1, 5), (0, 3) lie on the line y = 3 + 2x. [3 MARKS]

Discussion

15.	The value of (2.3)3−0.027(2.3)2+0.69+0.09 is
Answer» The value of $\frac{(2.3)^{3} - 0.027}{(2.3)^{2} + 0.69 + 0.09}$ is

Discussion

16.	In the fig. given below, BD and CE are two altitudes of Δ ABC. If altitude BD = CE, then ΔABC is an __ triangle.
Answer» In the fig. given below, BD and CE are two altitudes of $Δ$ ABC. If altitude BD = CE, then $Δ$ ABC is an __ triangle.

16.

In the fig. given below, BD and CE are two altitudes of Δ ABC. If altitude BD = CE, then ΔABC is an __ triangle.

Answer»

In the fig. given below, BD and CE are two altitudes of $Δ$ ABC. If altitude BD = CE, then $Δ$ ABC is an __ triangle.

Discussion

17.	The base of a prism is a rectangle having sides 5 cm and 12 cm respectively. The height of the prism is 18 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the total surface area of each of the triangular prism?
Answer» The base of a prism is a rectangle having sides 5 cm and 12 cm respectively. The height of the prism is 18 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the total surface area of each of the triangular prism?

Discussion

18.	Line AB is the diameter of a circle measuring 14cm long. What is the area of the circle?
Answer» Line AB is the diameter of a circle measuring 14cm long. What is the area of the circle?

Discussion

19.	Question 14 If P(-1, 1), Q(3, - 4 ), R(1 - 1), S(- 2, -3) and T(-4, 4) are plotted on the graph paper, then the points(s) in the fourth quadrant is /are: A) P and T B) Q and R C) Only S D) P and R
Answer» Question 14 If P(-1, 1), Q(3, - 4 ), R(1 - 1), S(- 2, -3) and T(-4, 4) are plotted on the graph paper, then the points(s) in the fourth quadrant is /are: A) P and T B) Q and R C) Only S D) P and R

Discussion

20.	x^4+x^2+4
Answer» x^4+x^2+4

Discussion

21.	Prove that if the diagonals of a parallelogram are equal, then it is a rectangle. [4 MARKS]
Answer» Prove that if the diagonals of a parallelogram are equal, then it is a rectangle. [4 MARKS]

Discussion

22.	Question 54 Fill in the blanks to make the statement true. 1 km2 = ___ m2
Answer» Question 54 Fill in the blanks to make the statement true. 1 $k m^{2}$ = ___ $m^{2}$

Discussion

23.	If one of the angles of a parallelogram is 80°, the other non-adjacent angle is___ degrees.
Answer» If one of the angles of a parallelogram is 80°, the other non-adjacent angle is___ degrees.

Discussion

24.	The three vertices of a parallelogram taken in order are (–1, 0), (3, 1) and (2, 2) respectively. Find the coordinates of the fourth vertex
Answer» The three vertices of a parallelogram taken in order are (–1, 0), (3, 1) and (2, 2) respectively. Find the coordinates of the fourth vertex

Discussion

25.	is a factor of 4xy+2y+6x+3.
Answer» is a factor of $4 x y + 2 y + 6 x + 3$ .

Discussion

26.	A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid. [3 MARKS]
Answer» A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid. [3 MARKS]

Discussion

27.	In the given construction of a ΔABC, ∠CAB will be
Answer» In the given construction of a $Δ A B C$ , $∠ C A B$ will be

Discussion

28.	Number of points of Concurrence in a brick is :
Answer» Number of points of Concurrence in a brick is :

Discussion

29.	Which of the equations given below have graphs parallel to the x- axis?
Answer» Which of the equations given below have graphs parallel to the x- axis?

Discussion

30.	If y=2 and y=1 are the zero of the polynomial find: 2y3 -5y2 +ay +b . Find values of a and b
Answer» If y=2 and y=1 are the zero of the polynomial find: 2y³-5y² +ay +b . Find values of a and b

Discussion

31.	In a parallelogram ABCD, if ∠A = 75o, then ∠B =?
Answer» In a parallelogram ABCD, if ∠A = 75^o, then ∠B =?

Discussion

32.	how many litres of 24l mixture containing milk and water in 2:3 replace with pure milk so that the resultant mixture contain water and milk in equal proportions
Answer» how many litres of 24l mixture containing milk and water in 2:3 replace with pure milk so that the resultant mixture contain water and milk in equal proportions

Discussion

33.	Find the greatest possible number of points of intersection (i) two straight lines (ii) Two circles (iii) one straight line and one circle respectively.
Answer» Find the greatest possible number of points of intersection (i) two straight lines (ii) Two circles (iii) one straight line and one circle respectively.

Discussion

34.	Using factor theorem find which of the following is a factor of the polynomial p(x)=3x2+10x+7.
Answer» $Using factor theorem find which of the following is a factor of the polynomial p (x) = 3 x^{2} + 10 x + 7.$

Discussion

35.	Points A(1,0), B(5,0), C(7,6) and D(3,6) are joined to form a quadrilateral ABCD. ABCD is a parallelogram with BD as its diagonal joined. BC is extended such that BC = BE. AE is joined. Which of the following is true?
Answer» Points A(1,0), B(5,0), C(7,6) and D(3,6) are joined to form a quadrilateral ABCD. ABCD is a parallelogram with BD as its diagonal joined. BC is extended such that BC = BE. AE is joined. Which of the following is true?

Discussion

36.	ABCD is a rectangle with ∠ABD=40∘. Determine ∠DBC.
Answer» $A B C D$ is a rectangle with $∠ A B D = 40^{\circ}$ . Determine $∠ D B C$ .

Discussion

37.	Use the following information to answer the next question. The given figure shows ΔPQR whose side PR is extended to points. How can the sides PQ, QR, PR of ΔPQR be arranged in ascending order?
Answer» Use the following information to answer the next question. The given figure shows ΔPQR whose side PR is extended to points. How can the sides PQ, QR, PR of ΔPQR be arranged in ascending order?

37.

Use the following information to answer the next question. The given figure shows ΔPQR whose side PR is extended to points. How can the sides PQ, QR, PR of ΔPQR be arranged in ascending order?

Answer»

Use the following information to answer the next question.

The given figure shows ΔPQR whose side PR is extended to points.

How can the sides PQ, QR, PR of ΔPQR be arranged in ascending order?

Discussion

38.	Question 6 If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also, read from the graph the work done when the distance travelled by the body is: (i) 2 units (ii) 0 unit
Answer» Question 6 If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also, read from the graph the work done when the distance travelled by the body is: (i) 2 units (ii) 0 unit

Discussion

39.	The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.
Answer» The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.

39.

The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.

Answer»

The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.

Discussion

40.	In the given figures, O is the centre of the given circles. Match the values of x.
Answer» In the given figures, O is the centre of the given circles. Match the values of $x$ .

Discussion

41.	A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table. Outcome123456Frequency506545345576 Find the probability of the occurrence of an (i) even number (ii) odd number.
Answer» A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table. $\begin{matrix} Outcome & 1 & 2 & 3 & 4 & 5 & 6 Frequency & 50 & 65 & 45 & 34 & 55 & 76 \end{matrix}$ Find the probability of the occurrence of an (i) even number (ii) odd number.

41.

A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table. Outcome123456Frequency506545345576 Find the probability of the occurrence of an (i) even number (ii) odd number.

Answer»

A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table.

$\begin{matrix} Outcome & 1 & 2 & 3 & 4 & 5 & 6 Frequency & 50 & 65 & 45 & 34 & 55 & 76 \end{matrix}$

Find the probability of the occurrence of an (i) even number (ii) odd number.

Discussion

42.	In a circle of radius 5 cm, AB and AC are two chords of 6 cm each. Then the length of the chord BC is
Answer» In a circle of radius 5 cm, AB and AC are two chords of 6 cm each. Then the length of the chord BC is

Discussion

43.	If A = [(x,y): x2+y2=25] And B = [(x,y): x2+9y2=144], then A∩B contains
Answer» If A = [(x,y): $x^{2} + y^{2} = 25$ ] And B = [(x,y): $x^{2} + 9 y^{2} = 144], t h e n A \cap B$ contains

43.

If A = [(x,y): x2+y2=25] And B = [(x,y): x2+9y2=144], then A∩B contains

Answer»

If A = [(x,y): $x^{2} + y^{2} = 25$ ] And B = [(x,y): $x^{2} + 9 y^{2} = 144], t h e n A \cap B$ contains

Discussion

44.	A chord of a circle of radius 12 cm subtends an angle of 120∘ at the center. Find the area of the corresponding segment of the circle. (Use π=3.14 and √3=1.73)
Answer» A chord of a circle of radius 12 cm subtends an angle of $120^{\circ}$ at the center. Find the area of the corresponding segment of the circle. (Use $π = 3.14 a n d \sqrt{3} = 1.73)$

Discussion

45.	In a classroom of 20 students, a physics test was conducted. The test was of 50 marks and the marks obtained by students are as follows MarksFrequency304255456472481491501 Calculate the mean for the given set of data.
Answer» In a classroom of 20 students, a physics test was conducted. The test was of 50 marks and the marks obtained by students are as follows $\begin{matrix} Marks & Frequency 30 & 4 25 & 5 45 & 6 47 & 2 48 & 1 49 & 1 50 & 1 \end{matrix}$ Calculate the mean for the given set of data.

45.

In a classroom of 20 students, a physics test was conducted. The test was of 50 marks and the marks obtained by students are as follows MarksFrequency304255456472481491501 Calculate the mean for the given set of data.

Answer»

In a classroom of 20 students, a physics test was conducted. The test was of 50 marks and the marks obtained by students are as follows

$\begin{matrix} Marks & Frequency 30 & 4 25 & 5 45 & 6 47 & 2 48 & 1 49 & 1 50 & 1 \end{matrix}$

Calculate the mean for the given set of data.

Discussion

46.	If A is a diagonal matrix of order 3 × 3 is commutative with every square matrix of order 3 × 3 under multiplication and trace (A) = 12, then
Answer» If A is a diagonal matrix of order 3 $\times$ 3 is commutative with every square matrix of order 3 $\times$ 3 under multiplication and trace (A) = 12, then

Discussion

47.	From a well shuffled pack of 52 cards, a card is drawn at random. Find the probability that it is a diamond.
Answer» From a well shuffled pack of 52 cards, a card is drawn at random. Find the probability that it is a diamond.

Discussion

48.	Find the value of loge144 .
Answer» Find the value of ${log}_{e} 144$ .

Discussion

49.	The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of pq ( q is not equal to '0') are known as___ numbers.
Answer» The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of $\frac{p}{q}$ ( $q$ is not equal to '0') are known as___ numbers.

49.

The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of pq ( q is not equal to '0') are known as___ numbers.

Answer»

The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of $\frac{p}{q}$ ( $q$ is not equal to '0') are known as___ numbers.

Discussion

50.	Find the value of p such that (x -1) is the factor of the polynomial x3+ 10x2 + px .
Answer» Find the value of p such that (x -1) is the factor of the polynomial x³+ 10x²+ px .

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The reference to a bow and an arrow in the passage-

In fig AC=XD,C is the mid point of AB and D is the mid point of the segmentAB PandQ are the mid point of the line segment AC and BC respectively. Prove that AP=BQ=1/4AB

A storage tank consists of a circular cylinder with a hemisphere at join on either end .if the external diameter of the cylinder be 1.4 M and its length be 8 m. find the cost of painting it on the outside at the rate rupees 10 per metre square.

Find an irrational number between 57 and 79. How many more there may be?

In the given figure, △ABC is an isosceles triangle with AB=AC and O is the centre of the circle. If ∠AOB=α and ∠AOC=β, then which of the following is true?

Why pie is irrational ?

The difference of areas of two squares is A. The difference of their perimeters is P. The sum of their perimeters is

A die is thrown 100 times . If the probability of getting an even number is 25 . How many times an odd number is obtaincd?

The order of a column matrix can be

When p(x)=x4+2x3−3x2+x−1 is divided by (x-2), the remainder is (a) 0 (b) -1 (c) -15 (d) 21

A boy is cycling such that the wheels of the cycle are making 140 revolutions per hour. If the diameter of the wheel is 60cm then calculate the speed (in km/h) with which the boy is cycling.

In figure, QA and PB are perpendicular to AB. If AO = 10cm, BO = 6cm and PB = 9cm. Find AQ.

Check whether the points (1, 5), (0, 3) lie on the line y = 3 + 2x. [3 MARKS]

The value of (2.3)3−0.027(2.3)2+0.69+0.09 is

In the fig. given below, BD and CE are two altitudes of Δ ABC. If altitude BD = CE, then ΔABC is an __ triangle.

The base of a prism is a rectangle having sides 5 cm and 12 cm respectively. The height of the prism is 18 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the total surface area of each of the triangular prism?

Line AB is the diameter of a circle measuring 14cm long. What is the area of the circle?

Question 14 If P(-1, 1), Q(3, - 4 ), R(1 - 1), S(- 2, -3) and T(-4, 4) are plotted on the graph paper, then the points(s) in the fourth quadrant is /are: A) P and T B) Q and R C) Only S D) P and R

x^4+x^2+4

Prove that if the diagonals of a parallelogram are equal, then it is a rectangle. [4 MARKS]

Question 54 Fill in the blanks to make the statement true. 1 km2 = ___ m2

If one of the angles of a parallelogram is 80°, the other non-adjacent angle is___ degrees.

The three vertices of a parallelogram taken in order are (–1, 0), (3, 1) and (2, 2) respectively. Find the coordinates of the fourth vertex

is a factor of 4xy+2y+6x+3.

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid. [3 MARKS]

In the given construction of a ΔABC, ∠CAB will be

Number of points of Concurrence in a brick is :

Which of the equations given below have graphs parallel to the x- axis?

If y=2 and y=1 are the zero of the polynomial find: 2y3 -5y​​​​2 +ay +b . Find values of a and b

In a parallelogram ABCD, if ∠A = 75o, then ∠B =?

how many litres of 24l mixture containing milk and water in 2:3 replace with pure milk so that the resultant mixture contain water and milk in equal proportions

Find the greatest possible number of points of intersection (i) two straight lines (ii) Two circles (iii) one straight line and one circle respectively.

Using factor theorem find which of the following is a factor of the polynomial p(x)=3x2+10x+7.

Points A(1,0), B(5,0), C(7,6) and D(3,6) are joined to form a quadrilateral ABCD. ABCD is a parallelogram with BD as its diagonal joined. BC is extended such that BC = BE. AE is joined. Which of the following is true?

ABCD is a rectangle with ∠ABD=40∘. Determine ∠DBC.

Use the following information to answer the next question. The given figure shows ΔPQR whose side PR is extended to points. How can the sides PQ, QR, PR of ΔPQR be arranged in ascending order?

The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.

In the given figures, O is the centre of the given circles. Match the values of x.

A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table. Outcome123456Frequency506545345576 Find the probability of the occurrence of an (i) even number (ii) odd number.

In a circle of radius 5 cm, AB and AC are two chords of 6 cm each. Then the length of the chord BC is

If A = [(x,y): x2+y2=25] And B = [(x,y): x2+9y2=144], then A∩B contains

A chord of a circle of radius 12 cm subtends an angle of 120∘ at the center. Find the area of the corresponding segment of the circle. (Use π=3.14 and √3=1.73)

In a classroom of 20 students, a physics test was conducted. The test was of 50 marks and the marks obtained by students are as follows MarksFrequency304255456472481491501 Calculate the mean for the given set of data.

If A is a diagonal matrix of order 3 × 3 is commutative with every square matrix of order 3 × 3 under multiplication and trace (A) = 12, then

From a well shuffled pack of 52 cards, a card is drawn at random. Find the probability that it is a diamond.

Find the value of loge144 .

The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of pq ( q is not equal to '0') are known as___ numbers.

Find the value of p such that (x -1) is the factor of the polynomial x3+ 10x2 + px .

If y=2 and y=1 are the zero of the polynomial find: 2y3 -5y2 +ay +b . Find values of a and b