24740 + Interview Questions in Mathematics

1.	If the radius of the cylinder is doubled, then the ratio of the original cylinder to that of the new one is
Answer» If the radius of the cylinder is doubled, then the ratio of the original cylinder to that of the new one is

Discussion

2.	The area of the given figure is ___cm2. (Both the ends are semi-circular and π=227)
Answer» The area of the given figure is ___ $c m^{2}$ . $(Both the ends are semi-circular and π = \frac{22}{7})$

2.

The area of the given figure is ___cm2. (Both the ends are semi-circular and π=227)

Answer»

The area of the given figure is ___ $c m^{2}$ . $(Both the ends are semi-circular and π = \frac{22}{7})$

Discussion

3.	The pair of linear equations 3x+ky=9 and 6x+4y=18 gives infinitely many solutions, then the value of k is ___
Answer» The pair of linear equations $3 x + k y = 9$ and $6 x + 4 y = 18$ gives infinitely many solutions, then the value of $k$ is ___

Discussion

4.	Arrange the followings in increasing order from bottom to top.
Answer» Arrange the followings in increasing order from bottom to top.

Discussion

5.	Which of the following is the approximated value of √3?
Answer» Which of the following is the approximated value of $\sqrt{3}$ ?

Discussion

6.	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

7.	What is a best fit line for graph
Answer» What is a best fit line for graph

Discussion

8.	Question 8 The area of an isosceles triangle having base 2cm and the length of one of the equal sides 4cm, is
Answer» Question 8 The area of an isosceles triangle having base 2cm and the length of one of the equal sides 4cm, is

Discussion

9.	The difference between two adjoining sides containing right angle of a right angled triangle is 14cm . The area of a tristria is 120cm . Verify the area using herons formula.
Answer» The difference between two adjoining sides containing right angle of a right angled triangle is 14cm . The area of a tristria is 120cm . Verify the area using herons formula.

Discussion

10.	Question 3 ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.
Answer» Question 3 ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.

Discussion

11.	If →a=−^i+^j+^k and →b=2^i+0^j+^k then the vectors →c satisfying the conditions, (i) that it is coplanar with →a and →b (ii) that it is perpendicular to →b, and (iii) that →a.→c=7, is
Answer» If $\to a = -^i +^j +^k$ and $\to b = 2^i + 0^j +^k$ then the vectors $\to c$ satisfying the conditions, (i) that it is coplanar with $\to a$ and $\to b$ (ii) that it is perpendicular to $\to b$ , and (iii) that $\to a . \to c = 7$ , is

Discussion

12.	Assertion: In ΔABC, E and F are the mid-points of AC and AB respectively. The altitude AP at BC intersect and FE at Q. Then AQ = QP. Reason: Q is the mid - point of AP. Which of the following is correct?
Answer» Assertion: In $Δ A B C$ , E and F are the mid-points of AC and AB respectively. The altitude AP at BC intersect and FE at Q. Then AQ = QP. Reason: Q is the mid - point of AP. Which of the following is correct?

Discussion

13.	If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then, the two triangles are congruent by __ congruence rule.
Answer» If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then, the two triangles are congruent by __ congruence rule.

Discussion

14.	41−√2−√3= ____________.
Answer» $\frac{4}{1 - \sqrt{2} - \sqrt{3}} =$ ____________.

Discussion

15.	A linear equation is _______.
Answer» A linear equation is _______.

Discussion

16.	In fig. BD \|\| CA, E is mid-point of CA and BD=12AC. Then .
Answer» $In fig. BD \|\| CA, E is mid-point of CA$ $and BD= \frac{1}{2} AC. Then$ .

Discussion

17.	Which of the following represents a linear equation in two variables?
Answer» Which of the following represents a linear equation in two variables?

Discussion

18.	The total surface area of hollow cylinder having the inner and outer radii as R2 and R is xπR(R+L4). Find x.3
Answer» The total surface area of hollow cylinder having the inner and outer radii as $\frac{R}{2}$ and $R$ is $x π R (R + \frac{L}{4})$ . Find x. 3

Discussion

19.	What is tangent of an angle in a right angled triangle?
Answer» What is tangent of an angle in a right angled triangle?

Discussion

20.	Mass of two spheres are in the ratio 8:1. Assuming that both of them have the same density, find the ratio of their radii.
Answer» Mass of two spheres are in the ratio 8:1. Assuming that both of them have the same density, find the ratio of their radii.

Discussion

21.	A cube of edge 'k' is divided into 'n' equal cubes. What is the edge of the new cube?
Answer» A cube of edge 'k' is divided into 'n' equal cubes. What is the edge of the new cube?

Discussion

22.	How many planes can be made to pass through a line and a point not on the line?
Answer» How many planes can be made to pass through a line and a point not on the line?

Discussion

23.	If a polynomial(x2+ax−c)cuts x-axis at 2 and -4, the value of a+c is ___
Answer» $If a polynomial (x^{2} + a x - c) cuts x-axis at 2 and -4, the value of a + c is$ ___

Discussion

24.	Degree of a constant polynomial is
Answer» Degree of a constant polynomial is

Discussion

25.	(−2−√3)(−2+√3) when simplified is (a) positive and irrational (b) positive and rational (c) negative and irrational (d) negative and rational
Answer» $(- 2 - \sqrt{3}) (- 2 + \sqrt{3})$ when simplified is (a) positive and irrational (b) positive and rational (c) negative and irrational (d) negative and rational

25.

(−2−√3)(−2+√3) when simplified is (a) positive and irrational (b) positive and rational (c) negative and irrational (d) negative and rational

Answer»

$(- 2 - \sqrt{3}) (- 2 + \sqrt{3})$ when simplified is

(a) positive and irrational (b) positive and rational (c) negative and irrational (d) negative and rational

Discussion

26.	In the figure, find the values x,y and z.
Answer» In the figure, find the values x,y and z.

Discussion

27.	In the given figure, O is the centre of a circle. If ∠AOD=140∘ and ∠CAB=50∘ , calculate (i) ∠ EDB, (ii) ∠EBD.
Answer» In the given figure, O is the centre of a circle. If $∠ A O D = 140^{\circ} a n d ∠ C A B = 50^{\circ}$ , calculate (i) $∠$ EDB, (ii) $∠$ EBD.

27.

In the given figure, O is the centre of a circle. If ∠AOD=140∘ and ∠CAB=50∘ , calculate (i) ∠ EDB, (ii) ∠EBD.

Answer»

In the given figure, O is the centre of a circle. If $∠ A O D = 140^{\circ} a n d ∠ C A B = 50^{\circ}$ , calculate

(i) $∠$ EDB, (ii) $∠$ EBD.

Discussion

28.	There are 121 articles in a bag. Out of which 11 are defective articles. If you pick only one article at random, (i) what is the probability of picking the non-defective article? (ii) If the article drawn the first time is non-defective and is not replaced, then find the probability of getting the defective article in the next draw.
Answer» There are 121 articles in a bag. Out of which 11 are defective articles. If you pick only one article at random, (i) what is the probability of picking the non-defective article? (ii) If the article drawn the first time is non-defective and is not replaced, then find the probability of getting the defective article in the next draw.

Discussion

29.	A well with inside diameter 10m is dug 8.4m deep. Earth taken out of it is spread all around it to width of 7.5m to form an embankment. Find the height of the embankment.
Answer» A well with inside diameter $10 m$ is dug $8.4 m$ deep. Earth taken out of it is spread all around it to width of $7.5 m$ to form an embankment. Find the height of the embankment.

Discussion

30.	Find the measure of an angle which is (i) equal to its complement, (ii) equal to its supplement.
Answer» Find the measure of an angle which is (i) equal to its complement, (ii) equal to its supplement.

30.

Find the measure of an angle which is (i) equal to its complement, (ii) equal to its supplement.

Answer»

Find the measure of an angle which is

(i) equal to its complement,

(ii) equal to its supplement.

Discussion

31.	Find the square root of 3665 using long divison method?
Answer» Find the square root of 3665 using long divison method?

Discussion

32.	From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks? Class12.5−17.517.5−22.522.5−27.527.5−32.532.5−37.5Frequency222191413
Answer» From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks? $\begin{matrix} C l a s s & 12.5 - 17.5 & 17.5 - 22.5 & 22.5 - 27.5 & 27.5 - 32.5 & 32.5 - 37.5 F r e q u e n c y & 2 & 22 & 19 & 14 & 13 \end{matrix}$

32.

From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks? Class12.5−17.517.5−22.522.5−27.527.5−32.532.5−37.5Frequency222191413

Answer»

From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks?

$\begin{matrix} C l a s s & 12.5 - 17.5 & 17.5 - 22.5 & 22.5 - 27.5 & 27.5 - 32.5 & 32.5 - 37.5 F r e q u e n c y & 2 & 22 & 19 & 14 & 13 \end{matrix}$

Discussion

33.	In histogram, if widths of the rectangles are varying, then lengths of rectangles are modified to be proportionate to the __________________ class size
Answer» In histogram, if widths of the rectangles are varying, then lengths of rectangles are modified to be proportionate to the __________________ class size

Discussion

34.	Two equal chords AB and CD of a circle with centre O, when produced meet at a point E. Prove that BE = DE and AE = CE.
Answer» Two equal chords AB and CD of a circle with centre O, when produced meet at a point E. Prove that BE = DE and AE = CE.

Discussion

35.	Question 1 (iv) Does the following figure lie on the same base and between the same parallels? If yes,write the common base and two parallels.
Answer» Question 1 (iv) Does the following figure lie on the same base and between the same parallels? If yes,write the common base and two parallels.

Discussion

36.	The surface area of a cuboid of dimensions 10 m x 12 m x 8 m is
Answer» The surface area of a cuboid of dimensions 10 m x 12 m x 8 m is

Discussion

37.	The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then
Answer» The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

37.

The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

Answer»

The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

Discussion

38.	Ram has to push an iron ball onto the top of the plank, as shown in the figure. How much distance will he need to push the block through the path A-B to reach on top?
Answer» Ram has to push an iron ball onto the top of the plank, as shown in the figure. How much distance will he need to push the block through the path A-B to reach on top?

38.

Ram has to push an iron ball onto the top of the plank, as shown in the figure. How much distance will he need to push the block through the path A-B to reach on top?

Answer»

Ram has to push an iron ball onto the top of the plank, as shown in the figure. How much distance will he need to push the block through the path A-B to reach on top?

Discussion

39.	Find zero of the polynomial 2x-3
Answer» Find zero of the polynomial 2x-3

Discussion

40.	Root 3 is an irrational number. Which of the following operations on it will yield a rational number? (a) adding √3 to it (b) adding 1/√3 to it (c) multiplying it by √3 d) multiplying it by √9 which is the correct option
Answer» Root 3 is an irrational number. Which of the following operations on it will yield a rational number? (a) adding √3 to it (b) adding 1/√3 to it (c) multiplying it by √3 d) multiplying it by √9 which is the correct option

40.

Root 3 is an irrational number. Which of the following operations on it will yield a rational number? (a) adding √3 to it (b) adding 1/√3 to it (c) multiplying it by √3 d) multiplying it by √9 which is the correct option

Answer»

Root 3 is an irrational number. Which of the following operations on it will yield a rational number?

(a) adding √3 to it (b) adding 1/√3 to it (c) multiplying it by √3

d) multiplying it by √9

which is the correct option

Discussion

41.	If cot theta = - 3/4 and theta is not in the 2nd quadrant then 5 sin theta + 10 cos theta + 9 sec theta + 16cosec theta - 4 cot theta =
Answer» If cot theta = - 3/4 and theta is not in the 2nd quadrant then 5 sin theta + 10 cos theta + 9 sec theta + 16cosec theta - 4 cot theta =

Discussion

42.	The Simple interest on a certain sum for 2 years at 20% per annum is Rs. 160. The corresponding compound interest is
Answer» The Simple interest on a certain sum for 2 years at 20% per annum is Rs. 160. The corresponding compound interest is

Discussion

43.	Intersection point of perpendicular bisectors of the sides of a triangle is called ___.
Answer» Intersection point of perpendicular bisectors of the sides of a triangle is called ___.

Discussion

44.	How can we find irrational number between two rational numbers?
Answer» How can we find irrational number between two rational numbers?

Discussion

45.	PR greater than PQ and PS bisects angle QPR.Prove that angle PSR greater than angle PSQ?
Answer» PR greater than PQ and PS bisects angle QPR.Prove that angle PSR greater than angle PSQ?

Discussion

46.	The curved surface area of a cone exceeds the base area by 88 cm2. Its slant height exceeds the base radius by 4 cm. Find the radius of the base.
Answer» The curved surface area of a cone exceeds the base area by $88 c m^{2}$ . Its slant height exceeds the base radius by $4 c m .$ Find the radius of the base.

Discussion

47.	If the value of the polynomial x2 − 6x + 8 at x = a is −1, then what is the value of a?
Answer» If the value of the polynomial x²− 6x + 8 at x = a is −1, then what is the value of a?

Discussion

48.	If the remainder obtained on dividing the polynomial 2x3 − 9x2 + 8x + 15 by (x − 1) is R1 and the remainder obtained on dividing the polynomial x2 − 10x + 50 by (x − 5) is R2, then what is the value of R1 − R2?
Answer» If the remainder obtained on dividing the polynomial 2x³ − 9x² + 8x + 15 by (x − 1) is R₁ and the remainder obtained on dividing the polynomial x² − 10x + 50 by (x − 5) is R₂, then what is the value of R₁ − R₂?

Discussion

49.	D is the mid point of side BC of ABC and E is the mid point of BD. If O is the mid point of AE, then
Answer» D is the mid point of side BC of ABC and E is the mid point of BD. If O is the mid point of AE, then

49.

D is the mid point of side BC of ABC and E is the mid point of BD. If O is the mid point of AE, then

Answer»

D is the mid point of side BC of ABC and E is the mid point of BD. If O is the mid point of AE, then

Discussion

50.	Question 3 (i) Given below are the seats won by different political parties in the polling outcome of a state assembly elections: Political PartyABCDEFSeats Won755537291037 (i) Draw a bar graph to represent the polling results.
Answer» Question 3 (i) Given below are the seats won by different political parties in the polling outcome of a state assembly elections: $\begin{matrix} P o l i t i c a l P a r t y & A & B & C & D & E & F S e a t s W o n & 75 & 55 & 37 & 29 & 10 & 37 \end{matrix}$ (i) Draw a bar graph to represent the polling results.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If the radius of the cylinder is doubled, then the ratio of the original cylinder to that of the new one is

The area of the given figure is ___cm2​. (Both the ends are semi-circular and π=227)

The pair of linear equations 3x+ky=9 and 6x+4y=18 gives infinitely many solutions, then the value of k is ___

Arrange the followings in increasing order from bottom to top.

Which of the following is the approximated value of √3?

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

What is a best fit line for graph

Question 8 The area of an isosceles triangle having base 2cm and the length of one of the equal sides 4cm, is

The difference between two adjoining sides containing right angle of a right angled triangle is 14cm . The area of a tristria is 120cm . Verify the area using herons formula.

Question 3 ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.

If →a=−^i+^j+^k and →b=2^i+0^j+^k then the vectors →c satisfying the conditions, (i) that it is coplanar with →a and →b (ii) that it is perpendicular to →b, and (iii) that →a.→c=7, is

Assertion: In ΔABC, E and F are the mid-points of AC and AB respectively. The altitude AP at BC intersect and FE at Q. Then AQ = QP. Reason: Q is the mid - point of AP. Which of the following is correct?

If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then, the two triangles are congruent by __ congruence rule.

41−√2−√3= ____________.

A linear equation is _______.

In fig. BD || CA, E is mid-point of CA and BD=12AC. Then .

Which of the following represents a linear equation in two variables?

The total surface area of hollow cylinder having the inner and outer radii as R2 and R is xπR(R+L4). Find x.3

What is tangent of an angle in a right angled triangle?

Mass of two spheres are in the ratio 8:1. Assuming that both of them have the same density, find the ratio of their radii.

A cube of edge 'k' is divided into 'n' equal cubes. What is the edge of the new cube?

How many planes can be made to pass through a line and a point not on the line?

If a polynomial(x2+ax−c)cuts x-axis at 2 and -4, the value of a+c is ___

Degree of a constant polynomial is

(−2−√3)(−2+√3) when simplified is (a) positive and irrational (b) positive and rational (c) negative and irrational (d) negative and rational

In the figure, find the values x,y and z.

In the given figure, O is the centre of a circle. If ∠AOD=140∘ and ∠CAB=50∘ , calculate (i) ∠ EDB, (ii) ∠EBD.

A well with inside diameter 10m is dug 8.4m deep. Earth taken out of it is spread all around it to width of 7.5m to form an embankment. Find the height of the embankment.

Find the measure of an angle which is (i) equal to its complement, (ii) equal to its supplement.

Find the square root of 3665 using long divison method?

From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks? Class12.5−17.517.5−22.522.5−27.527.5−32.532.5−37.5Frequency222191413

In histogram, if widths of the rectangles are varying, then lengths of rectangles are modified to be proportionate to the __________________ class size

Two equal chords AB and CD of a circle with centre O, when produced meet at a point E. Prove that BE = DE and AE = CE.

Question 1 (iv) Does the following figure lie on the same base and between the same parallels? If yes,write the common base and two parallels.

The surface area of a cuboid of dimensions 10 m x 12 m x 8 m is

The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

Ram has to push an iron ball onto the top of the plank, as shown in the figure. How much distance will he need to push the block through the path A-B to reach on top?

Find zero of the polynomial 2x-3

Root 3 is an irrational number. Which of the following operations on it will yield a rational number? (a) adding √3 to it (b) adding 1/√3 to it (c) multiplying it by √3 d) multiplying it by √9 which is the correct option

If cot theta = - 3/4 and theta is not in the 2nd quadrant then 5 sin theta + 10 cos theta + 9 sec theta + 16cosec theta - 4 cot theta =

The Simple interest on a certain sum for 2 years at 20% per annum is Rs. 160. The corresponding compound interest is

Intersection point of perpendicular bisectors of the sides of a triangle is called ___.

How can we find irrational number between two rational numbers?

PR greater than PQ and PS bisects angle QPR.Prove that angle PSR greater than angle PSQ?

The curved surface area of a cone exceeds the base area by 88 cm2. Its slant height exceeds the base radius by 4 cm. Find the radius of the base.

If the value of the polynomial x2 − 6x + 8 at x = a is −1, then what is the value of a?

If the remainder obtained on dividing the polynomial 2x3 − 9x2 + 8x + 15 by (x − 1) is R1 and the remainder obtained on dividing the polynomial x2 − 10x + 50 by (x − 5) is R2, then what is the value of R1 − R2?

D is the mid point of side BC of ABC and E is the mid point of BD. If O is the mid point of AE, then

Question 3 (i) Given below are the seats won by different political parties in the polling outcome of a state assembly elections: Political PartyABCDEFSeats Won755537291037 (i) Draw a bar graph to represent the polling results.

The area of the given figure is ___cm2. (Both the ends are semi-circular and π=227)