24740 + Interview Questions in Mathematics

1.	Question 1 (iii)Write 418 in decimal form and say what kind of decimal expansion it has.
Answer» Question 1 (iii) Write $4 \frac{1}{8}$ in decimal form and say what kind of decimal expansion it has.

Discussion

2.	The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 10°, find the three angles.
Answer» The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 10°, find the three angles.

Discussion

3.	In the class interval 22-26, the lower limit is _____ .
Answer» In the class interval 22-26, the lower limit is _____ .

Discussion

4.	The congruent sides of an isosceles triangle are 4 cm each. If the perimeter is 14 cm, then the 3rd side is:
Answer» The congruent sides of an isosceles triangle are 4 cm each. If the perimeter is 14 cm, then the 3rd side is:

Discussion

5.	The rational number between 14 and 13 is .
Answer» The rational number between $\frac{1}{4}$ and $\frac{1}{3}$ is .

Discussion

6.	{ 1. Find all integers }a such that }}{(x-a)(x-12)+2}{ can be factored as }(x+b)(x+c) where }b and }c are integers.
Answer» { 1. Find all integers }a such that }}{(x-a)(x-12)+2}{ can be factored as }(x+b)(x+c) where }b and }c are integers.

Discussion

7.	Question 1 (i) \Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method. x - 3y - 3 = 0 ; 3x - 9y - 2 =0
Answer» Question 1 (i) \Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method. x - 3y - 3 = 0 ; 3x - 9y - 2 =0

Discussion

8.	Find the value of 36×32.
Answer» Find the value of $3^{6} \times 3^{2}$ .

Discussion

9.	A triangle and a parallelogram are on the same base and between the same parallel. The area of triangle is 54 cm2. Find the area of parallelogram.
Answer» A triangle and a parallelogram are on the same base and between the same parallel. The area of triangle is $54 c m^{2}$ . Find the area of parallelogram.

Discussion

10.	A conical tent is 15 m high and the radius of its base is 20 m. The cost of the canvas required to make the tent at the rate of Rs 7 per m2 is
Answer» A conical tent is 15 m high and the radius of its base is 20 m. The cost of the canvas required to make the tent at the rate of Rs 7 per m² is

Discussion

11.	Question 2Two chords AB and CD of lengths 5 cm and 11cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.
Answer» Question 2 Two chords AB and CD of lengths 5 cm and 11cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.

Discussion

12.	A line parallel to the Y axis is of the form ____.
Answer» A line parallel to the Y axis is of the form ____.

Discussion

13.	If (2,2) lies on 4x+5y=k, the value of k is ___
Answer» If (2,2) lies on $4 x + 5 y = k$ , the value of $k$ is ___

Discussion

14.	Find the value of x, where AB \|\| CD
Answer» Find the value of $x$ , where AB \|\| CD

Discussion

15.	Area of parallelogram ABCD equals to 100 cm2. What is the area of Δ DEC?
Answer» Area of parallelogram ABCD equals to 100 $c m^{2}$ . What is the area of $Δ$ DEC?

Discussion

16.	A circle can be drawn with any centre but with a fixed radius. This is the statement of:
Answer» A circle can be drawn with any centre but with a fixed radius. This is the statement of:

Discussion

17.	The negation of "Ram and Rahim are not brave" is .
Answer» The negation of "Ram and Rahim are not brave" is .

Discussion

18.	Match the following:Given sinx = (25) and x∈(0,π2)(p) cosx(1)52(q) tanx(2)√212(r) cscx(3)√215(4)2√21
Answer» Match the following: Given $sin x$ = $(\frac{2}{5})$ and $x \in (0, \frac{π}{2})$ $\begin{matrix} (p) cos x & (1) \frac{5}{2} (q) tan x & (2) \frac{\sqrt{21}}{2} (r) csc x & (3) \frac{\sqrt{21}}{5} (4) \frac{2}{\sqrt{21}} \end{matrix}$

18.

Match the following:Given sinx = (25) and x∈(0,π2)(p) cosx(1)52(q) tanx(2)√212(r) cscx(3)√215(4)2√21

Answer»

Match the following:

Given $sin x$ = $(\frac{2}{5})$ and $x \in (0, \frac{π}{2})$

\begin{matrix} (p) cos x & (1) \frac{5}{2} (q) tan x & (2) \frac{\sqrt{21}}{2} (r) csc x & (3) \frac{\sqrt{21}}{5} (4) \frac{2}{\sqrt{21}} \end{matrix}

Discussion

19.	What is the volume of the hemisphere whose radius is r?
Answer» What is the volume of the hemisphere whose radius is r?

Discussion

20.	In the following figure, if AC = BE, then prove that AD = EC.
Answer» In the following figure, if AC = BE, then prove that AD = EC.

20.

In the following figure, if AC = BE, then prove that AD = EC.

Answer»

In the following figure, if AC = BE, then prove that AD = EC.

Discussion

21.	In the figure shown, ABCD is a parallelogram, AF = FD and E is a point on the line AB extended. If the area of Δ AEF is 3m2, find the area of the parallelogram ABCD.
Answer» In the figure shown, ABCD is a parallelogram, AF = FD and E is a point on the line AB extended. If the area of $Δ$ AEF is $3 m^{2}$ , find the area of the parallelogram ABCD.

21.

In the figure shown, ABCD is a parallelogram, AF = FD and E is a point on the line AB extended. If the area of Δ AEF is 3m2, find the area of the parallelogram ABCD.

Answer»

In the figure shown, ABCD is a parallelogram, AF = FD and E is a point on the line AB extended. If the area of $Δ$ AEF is $3 m^{2}$ , find the area of the parallelogram ABCD.

Discussion

22.	Question 1If the polynomials az3+4z2+3z–4 and z3–4z+a leave the same remainder when divided by z – 3, find the value of a.
Answer» Question 1 If the polynomials $a z^{3} + 4 z^{2} + 3 z - 4$ and $z^{3} - 4 z + a$ leave the same remainder when divided by z – 3, find the value of a.

Discussion

23.	If f(x) is a twice differentiable function such that f(a)=0,f(b)=2,f(c)=1,f(d)=2,f(e)=0, where a
Answer» If f(x) is a twice differentiable function such that f(a)=0,f(b)=2,f(c)=1,f(d)=2,f(e)=0, where a

Discussion

24.	37. Two Congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P,Q lie on the two circles. Prove that BP=BQ.
Answer» 37. Two Congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P,Q lie on the two circles. Prove that BP=BQ.

Discussion

25.	Question 2If the diagonals of a parallelogram are equal, then show that it is a rectangle.
Answer» Question 2 If the diagonals of a parallelogram are equal, then show that it is a rectangle.

Discussion

26.	The ratio of volumes of two cones is 4:5 and the ratio of the radii of their bases is 2:3.Find the ratio of their vertical heights.
Answer» The ratio of volumes of two cones is 4:5 and the ratio of the radii of their bases is 2:3.Find the ratio of their vertical heights.

Discussion

27.	Factorise:1+a+b+c+ab+bc+ac+abc
Answer» Factorise: $1 + a + b + c + a b + b c + a c + a b c$

Discussion

28.	ABCD is a cyclic quadrilateral if. Angle A = 2x+4 Angle B= x+10 Angle C = 4y+4 Angle D = 5y+5 Find x,y
Answer» ABCD is a cyclic quadrilateral if. Angle A = 2x+4 Angle B= x+10 Angle C = 4y+4 Angle D = 5y+5 Find x,y

Discussion

29.	Check whether 76 can be empirical probability or not. Give reason
Answer» Check whether $\frac{7}{6}$ can be empirical probability or not. Give reason

Discussion

30.	Zero of the polynomial f(x) = 3x + 7 is(a) 73(b) -37(c) -73(d) –7
Answer» Zero of the polynomial f(x) = 3x + 7 is (a) $\frac{7}{3}$ (b) $\frac{- 3}{7}$ (c) $- \frac{7}{3}$ (d) –7

Discussion

31.	32. If the perimeter of a semicircular protractor is 66 cm , find the radius of protractor
Answer» 32. If the perimeter of a semicircular protractor is 66 cm , find the radius of protractor

Discussion

32.	The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}, is given by
Answer» The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}, is given by

Discussion

33.	In the given figure, a \|\| b and c \|\| d. If ∠1=75∘, what is the measure of ∠3?
Answer» In the given figure, a \|\| b and c \|\| d. If $∠ 1 = 75^{\circ}$ , what is the measure of $∠ 3$ ?

Discussion

34.	If A={1,2,3,4,5,6}, B={1,2}, then A−B=C . What of the following is true about C?
Answer» If A={1,2,3,4,5,6}, B={1,2}, then $A - B = C$ . What of the following is true about C?

Discussion

35.	Find the coordinate of the mirror image of A(1, 2) in the second quadrant.
Answer» Find the coordinate of the mirror image of A(1, 2) in the second quadrant.

Discussion

36.	Given 2 log10 x+1=log10 250, find : (i) x (ii) log10 2x
Answer» Given $2 l o g_{10} x + 1 = l o g_{10} 250$ , find : (i) $x$ (ii) $l o g_{10} 2 x$

36.

Given 2 log10 x+1=log10 250, find : (i) x (ii) log10 2x

Answer»

Given $2 l o g_{10} x + 1 = l o g_{10} 250$ , find :

(i) $x$

(ii) $l o g_{10} 2 x$

Discussion

37.	Prove that (4−5√2) is an irrational number.
Answer» Prove that $(4 - 5 \sqrt{2})$ is an irrational number.

Discussion

38.	If the height of the cone is doubled, the volume of the new cone will be
Answer» If the height of the cone is doubled, the volume of the new cone will be

Discussion

39.	Question 86 (vi)Using suitable identities, evaluate the following:(995)2
Answer» Question 86 (vi) Using suitable identities, evaluate the following: $(995)^{2}$

39.

Question 86 (vi)Using suitable identities, evaluate the following:(995)2

Answer»

Question 86 (vi)

Using suitable identities, evaluate the following:

$(995)^{2}$

Discussion

40.	In right triangle abc right angled at b the ratio of ab to ac 1:√2 then the value 2 tan ÷ 1 tan^2 A
Answer» In right triangle abc right angled at b the ratio of ab to ac 1:√2 then the value 2 tan ÷ 1 tan^2 A

Discussion

41.	Draw a graph in one variable & two variable in which a line is parallel to x axis at a distance of 3units from the origin & above x axis
Answer» Draw a graph in one variable & two variable in which a line is parallel to x axis at a distance of 3units from the origin & above x axis

Discussion

42.	Find one irrational number between 0.2101 and 0.222... = 0.2¯.
Answer» Find one irrational number between 0.2101 and 0.222... = $0 . \bar{2}$ .

Discussion

43.	The equation x = 0 represents ___ axis.
Answer» The equation x = 0 represents ___ axis.

Discussion

44.	The curved surface of a cylindrical bulb of height 18 cm and base radius 7 cm is to be painted in luminating gold colour such that 23rd of the height of the bulb emits golden light; painting is done at ₹ 5 per sq. cm. The cost of painting the bulb is_____.(use π=227)
Answer» The curved surface of a cylindrical bulb of height $18 c m$ and base radius $7 c m$ is to be painted in luminating gold colour such that ${\frac{2}{3}}^{r d}$ of the height of the bulb emits golden light; painting is done at ₹ 5 per sq. cm. The cost of painting the bulb is_____. $(u s e π = \frac{22}{7})$

Discussion

45.	The value of (0.6)0−(0.1)−1(323)−1(32)3+(−13)−1 is _____________.
Answer» The value of $\frac{(0.6)^{0} - (0.1)^{- 1}}{(\frac{3}{2^{3}})^{- 1} (\frac{3}{2})^{3} + (- \frac{1}{3})^{- 1}}$ is _____________.

Discussion

46.	36. Find the equation of the locus of the point which moves so that the difference of its distance from the points (3,0) and (-3,0) is 4 units.
Answer» 36. Find the equation of the locus of the point which moves so that the difference of its distance from the points (3,0) and (-3,0) is 4 units.

Discussion

47.	21. The shape of SnCl2 in gaseous state is A) tetrahedral B) linear C) angular D) t-shaped
Answer» 21. The shape of SnCl2 in gaseous state is A) tetrahedral B) linear C) angular D) t-shaped

Discussion

48.	Question 18If ABC is a right angled triangle such that AB = AC and bisector of angle C intersects the side AB at D, then prove that AC + AD = BC.
Answer» Question 18 If ABC is a right angled triangle such that AB = AC and bisector of angle C intersects the side AB at D, then prove that AC + AD = BC.

Discussion

49.	What quantity of lime stone on heating will give 56 kg of CaO(1) 1000 kg(3) 44 kg() 100 kg4)56 kg
Answer» What quantity of lime stone on heating will give 56 kg of CaO(1) 1000 kg(3) 44 kg() 100 kg4)56 kg

Discussion

50.	The circle inscribed in an equilateral triangle of sides 24 cm just touches the sides of the triangle. Find the area of the rest part of the triangle (let √3=1.732)
Answer» The circle inscribed in an equilateral triangle of sides 24 cm just touches the sides of the triangle. Find the area of the rest part of the triangle (let $\sqrt{3}$ =1.732)

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 1 (iii)Write 418 in decimal form and say what kind of decimal expansion it has.

The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 10°, find the three angles.

In the class interval 22-26, the lower limit is _____ .

The congruent sides of an isosceles triangle are 4 cm each. If the perimeter is 14 cm, then the 3rd side is:

The rational number between 14 and 13 is .

{ 1. Find all integers }a such that }}{(x-a)(x-12)+2}{ can be factored as }(x+b)(x+c) where }b and }c are integers.

Question 1 (i) \Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method. x - 3y - 3 = 0 ; 3x - 9y - 2 =0

Find the value of 36×32.

A triangle and a parallelogram are on the same base and between the same parallel. The area of triangle is 54 cm2. Find the area of parallelogram.

A conical tent is 15 m high and the radius of its base is 20 m. The cost of the canvas required to make the tent at the rate of Rs 7 per m2 is

Question 2Two chords AB and CD of lengths 5 cm and 11cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.

A line parallel to the Y axis is of the form ____.

If (2,2) lies on 4x+5y=k, the value of k is ___

Find the value of x, where AB || CD

Area of parallelogram ABCD equals to 100 cm2. What is the area of Δ DEC?

A circle can be drawn with any centre but with a fixed radius. This is the statement of:

The negation of "Ram and Rahim are not brave" is .

Match the following:Given sinx = (25) and x∈(0,π2)(p) cosx(1)52(q) tanx(2)√212(r) cscx(3)√215(4)2√21

What is the volume of the hemisphere whose radius is r?

In the following figure, if AC = BE, then prove that AD = EC.

In the figure shown, ABCD is a parallelogram, AF = FD and E is a point on the line AB extended. If the area of Δ AEF is 3m2, find the area of the parallelogram ABCD.

Question 1If the polynomials az3+4z2+3z–4 and z3–4z+a leave the same remainder when divided by z – 3, find the value of a.

If f(x) is a twice differentiable function such that f(a)=0,f(b)=2,f(c)=1,f(d)=2,f(e)=0, where a

37. Two Congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P,Q lie on the two circles. Prove that BP=BQ.

Question 2If the diagonals of a parallelogram are equal, then show that it is a rectangle.

The ratio of volumes of two cones is 4:5 and the ratio of the radii of their bases is 2:3.Find the ratio of their vertical heights.

Factorise:1+a+b+c+ab+bc+ac+abc

ABCD is a cyclic quadrilateral if. Angle A = 2x+4 Angle B= x+10 Angle C = 4y+4 Angle D = 5y+5 Find x,y

Check whether 76 can be empirical probability or not. Give reason

Zero of the polynomial f(x) = 3x + 7 is(a) 73(b) -37(c) -73(d) –7

32. If the perimeter of a semicircular protractor is 66 cm , find the radius of protractor

The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}, is given by

In the given figure, a || b and c || d. If ∠1=75∘, what is the measure of ∠3?

If A={1,2,3,4,5,6}, B={1,2}, then A−B=C . What of the following is true about C?

Find the coordinate of the mirror image of A(1, 2) in the second quadrant.

Given 2 log10 x+1=log10 250, find : (i) x (ii) log10 2x

Prove that (4−5√2) is an irrational number.

If the height of the cone is doubled, the volume of the new cone will be

Question 86 (vi)Using suitable identities, evaluate the following:(995)2

In right triangle abc right angled at b the ratio of ab to ac 1:√2 then the value 2 tan ÷ 1 tan^2 A

Draw a graph in one variable & two variable in which a line is parallel to x axis at a distance of 3units from the origin & above x axis

Find one irrational number between 0.2101 and 0.222... = 0.2¯.

The equation x = 0 represents ___ axis.

The curved surface of a cylindrical bulb of height 18 cm and base radius 7 cm is to be painted in luminating gold colour such that 23rd of the height of the bulb emits golden light; painting is done at ₹ 5 per sq. cm. The cost of painting the bulb is_____.(use π=227)

The value of (0.6)0−(0.1)−1(323)−1(32)3+(−13)−1 is _____________.

36. Find the equation of the locus of the point which moves so that the difference of its distance from the points (3,0) and (-3,0) is 4 units.

21. The shape of SnCl2 in gaseous state is A) tetrahedral B) linear C) angular D) t-shaped

Question 18If ABC is a right angled triangle such that AB = AC and bisector of angle C intersects the side AB at D, then prove that AC + AD = BC.

What quantity of lime stone on heating will give 56 kg of CaO(1) 1000 kg(3) 44 kg() 100 kg4)56 kg

The circle inscribed in an equilateral triangle of sides 24 cm just touches the sides of the triangle. Find the area of the rest part of the triangle (let √3=1.732)