24740 + Interview Questions in Mathematics

1.	Find the value of sin x in the interval 0 ≤ x ≤ π, satisfying the equation 10sin2x - sinx - 2 = 0.
Answer» Find the value of sin x in the interval 0 ≤ x ≤ π, satisfying the equation 10sin²x - sinx - 2 = 0.

Discussion

2.	If the circumference of a circle is 528 cm, then its area is ______ cm2. (π=227)
Answer» If the circumference of a circle is 528 cm, then its area is ______ $c m^{2}$ . $(π = \frac{22}{7})$

Discussion

3.	Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products: (xyz-4) (xyz-2)
Answer» Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products: (xyz-4) (xyz-2)

Discussion

4.	We know that coincident lines have infinite solutions so find out which among the following pairs of lines are coincident.
Answer» We know that coincident lines have infinite solutions so find out which among the following pairs of lines are coincident.

Discussion

5.	Question 6 The midpoint of the sides of the triangle along with any of the vertices as the point make a parallelogram of area equal to: A) 12 ar(ABC) B) 13 ar(ABC) C) 14 ar(ABC) D) ar(ABC)
Answer» Question 6 The midpoint of the sides of the triangle along with any of the vertices as the point make a parallelogram of area equal to: A) $\frac{1}{2}$ ar(ABC) B) $\frac{1}{3}$ ar(ABC) C) $\frac{1}{4}$ ar(ABC) D) $a r (A B C)$

Discussion

6.	A cylindrical tube opened at both the ends is made of the iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimeters of iron has been used in making the tube?
Answer» A cylindrical tube opened at both the ends is made of the iron sheet which is $2$ cm thick. If the outer diameter is $16$ cm and its length is $100$ cm, find how many cubic centimeters of iron has been used in making the tube?

Discussion

7.	Which one of the following equations is an example of a linear equation in two variables?
Answer» Which one of the following equations is an example of a linear equation in two variables?

Discussion

8.	If y = 4x is written in the form of ax + by + c = 0, then which of the following options represents the values of a, b and c respectively?
Answer» If y = 4x is written in the form of ax + by + c = 0, then which of the following options represents the values of a, b and c respectively?

Discussion

9.	Each edge of a cube is increased by 50%, then percentage increase in its surface area =.
Answer» Each edge of a cube is increased by $50 %$ , then percentage increase in its surface area =.

Discussion

10.	What is the factorized form of (2+14x)?
Answer» What is the factorized form of (2+14x)?

Discussion

11.	The following table shows the marks obtained by 5 students in a class. What is the average marks of the class? MarksFrequency981651882541
Answer» The following table shows the marks obtained by 5 students in a class. What is the average marks of the class? $\begin{matrix} Marks & Frequency 98 & 1 65 & 1 88 & 2 54 & 1 \end{matrix}$

11.

The following table shows the marks obtained by 5 students in a class. What is the average marks of the class? MarksFrequency981651882541

Answer»

The following table shows the marks obtained by 5 students in a class. What is the average marks of the class?

$\begin{matrix} Marks & Frequency 98 & 1 65 & 1 88 & 2 54 & 1 \end{matrix}$

Discussion

12.	How many lines can be drawn through both of the given points?
Answer» How many lines can be drawn through both of the given points?

Discussion

13.	Which of the following set of angles are found in a set squares ?
Answer» Which of the following set of angles are found in a set squares ?

Discussion

14.	Let the speed of an object falling from a certain height be given by the equation y=10x, where x indicates time. Which of the following is(are) true?
Answer» Let the speed of an object falling from a certain height be given by the equation $y = 10 x$ , where $x$ indicates time. Which of the following is(are) true?

Discussion

15.	We know the lengths of two adjacent sides and three angles in a quadrilateral. In how many ways can the construction be started? __
Answer» We know the lengths of two adjacent sides and three angles in a quadrilateral. In how many ways can the construction be started? __

Discussion

16.	In the given figure; AE bisects exterior angle CAD and AE is parallel to BC. Prove that : AB = AC.
Answer» In the given figure; AE bisects exterior angle CAD and AE is parallel to BC. Prove that : AB = AC.

16.

In the given figure; AE bisects exterior angle CAD and AE is parallel to BC. Prove that : AB = AC.

Answer»

In the given figure; AE bisects exterior angle CAD and AE is parallel to BC.

Prove that : AB = AC.

Discussion

17.	The distance of a point (2, 3) from the x- axis is
Answer» The distance of a point (2, 3) from the x- axis is

Discussion

18.	How many square tiles, each of side 25 cm, will be needed to pave a plot 20 m by 12 m?
Answer» How many square tiles, each of side 25 cm, will be needed to pave a plot 20 m by 12 m?

Discussion

19.	(√a − √b)×(√a + √b) =
Answer» $(\sqrt{a} - \sqrt{b}) \times (\sqrt{a} + \sqrt{b}) =$

Discussion

20.	AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, the distance of AB from the centre of the circle is :
Answer» AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, the distance of AB from the centre of the circle is :

Discussion

21.	If 1 part of a blue pigment requires 45 ml of base, how much blue pigment should we mix with 900 ml of base.If the ml of the base is doubled calculate how much of blue pigment it will now require? [4 MARKS]
Answer» If 1 part of a blue pigment requires 45 ml of base, how much blue pigment should we mix with 900 ml of base.If the ml of the base is doubled calculate how much of blue pigment it will now require? [4 MARKS]

Discussion

22.	How to prepare for NEET, AIIMS and JIMPER from 9th GRADE
Answer» How to prepare for NEET, AIIMS and JIMPER from 9th GRADE

Discussion

23.	Simplify (xy+yz)2−2x2y2z and find the value when x=−1,y=1 and z=2.
Answer» Simplify $(x y + y z)^{2} - 2 x^{2} y^{2} z$ and find the value when $x = - 1, y = 1$ and $z = 2.$

Discussion

24.	Factorise 9x²+6x+1-25y
Answer» Factorise 9x²+6x+1-25y

Discussion

25.	If log10 x=y. Then,
Answer» If $l o g_{10} x = y$ . Then,

Discussion

26.	A curious 12th class student wants to know and collect the data regarding the percentage of students who got grade A1 in Mathematics during the last 10 years in Board examinations. This collected data is known as
Answer» A curious 12^th class student wants to know and collect the data regarding the percentage of students who got grade A1 in Mathematics during the last 10 years in Board examinations. This collected data is known as

Discussion

27.	The line ax + by = ab makes intercepts on the x and y axis.
Answer» The line ax + by = ab makes intercepts on the x and y axis.

Discussion

28.	Question 7 ABC is a right angled triangle in which ∠ A=90∘ and AB= AC. Find ∠ B and ∠ C.
Answer» Question 7 ABC is a right angled triangle in which $∠ A = 90^{\circ} a n d A B = A C . F i n d ∠ B a n d ∠ C .$

Discussion

29.	Class mark of a particular class is 9.5 , then upper limit + lower limit = _________
Answer» Class mark of a particular class is 9.5 , then upper limit + lower limit = _________

Discussion

30.	Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.
Answer» Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

30.

Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

Answer»

Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

Discussion

31.	For every real number x, x3⩾0. Which of the following make this statement true?
Answer» For every real number $x$ , $x^{3} ⩾ 0$ . Which of the following make this statement true?

Discussion

32.	If 3a = 729, then 3a−2 =
Answer» $I f 3^{a} = 729, t h e n 3^{a - 2} =$

Discussion

33.	On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.
Answer» On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.

33.

On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.

Answer»

On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.

Discussion

34.	In the given figure, ∠ABC=69∘ and ∠ACB=31∘. Find ∠BDC.
Answer» In the given figure, $∠ A B C = 69^{\circ}$ and $∠ A C B = 31^{\circ} .$ Find $∠ B D C .$

Discussion

35.	The picture shows an equilateral triangle cut into 2 halves by a line through a vertex A. What is the difference between the perimeter of the triangle ABC and the perimeter of ABO?
Answer» The picture shows an equilateral triangle cut into 2 halves by a line through a vertex A. What is the difference between the perimeter of the triangle ABC and the perimeter of ABO?

35.

The picture shows an equilateral triangle cut into 2 halves by a line through a vertex A. What is the difference between the perimeter of the triangle ABC and the perimeter of ABO?

Answer»

The picture shows an equilateral triangle cut into 2 halves by a line through a vertex A.

What is the difference between the perimeter of the triangle ABC and the perimeter of ABO?

Discussion

36.	Sumeet purchased a book costing ₹ 24.75 and a pencil box. If he got back ₹ 32.75 when he gave a ₹ 100 note. What is the cost of the pencil box in fractional form?
Answer» Sumeet purchased a book costing ₹ 24.75 and a pencil box. If he got back ₹ 32.75 when he gave a ₹ 100 note. What is the cost of the pencil box in fractional form?

Discussion

37.	The product of √3 and √12 is a ____ number.
Answer» The product of $\sqrt{3}$ and $\sqrt{12}$ is a ____ number.

Discussion

38.	Match the following: 1. cos(90∘−A) a) secA2. cot(90∘−A)b) tanA 3. cosec(90∘−A) c) sinA
Answer» Match the following: $\begin{matrix} 1. c o s (90^{\circ} - A) & a) s e c A 2. c o t (90^{\circ} - A) & b) t a n A 3. c o s e c (90^{\circ} - A) & c) s i n A \end{matrix}$

38.

Match the following: 1. cos(90∘−A) a) secA2. cot(90∘−A)b) tanA 3. cosec(90∘−A) c) sinA

Answer»

Match the following:

$\begin{matrix} 1. c o s (90^{\circ} - A) & a) s e c A 2. c o t (90^{\circ} - A) & b) t a n A 3. c o s e c (90^{\circ} - A) & c) s i n A \end{matrix}$

Discussion

39.	How many parts should be shaded in figure B to make it represent the same fraction as the unshaded part of figure A?
Answer» How many parts should be shaded in figure B to make it represent the same fraction as the unshaded part of figure A?

Discussion

40.	The abscissa and ordinate of the origin are
Answer» The abscissa and ordinate of the origin are

Discussion

41.	In the given figure, O is the centre of the circle, BD = OD and CD⊥AB. Find ∠CAB.
Answer» In the given figure, O is the centre of the circle, BD = OD and CD $⊥$ AB. Find $∠$ CAB.

41.

In the given figure, O is the centre of the circle, BD = OD and CD⊥AB. Find ∠CAB.

Answer»

In the given figure, O is the centre of the circle, BD = OD and CD $⊥$ AB. Find $∠$ CAB.

Discussion

42.	In the figure, determine the value of x.
Answer» In the figure, determine the value of x.

Discussion

43.	A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.
Answer» A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.

Discussion

44.	Read the bar graph shown in figure and answer the following questions: (i) What is the information given by the bar graph? (ii)What WaS the number of commercial banks in 1977? (iii)What is the ratio of the number of commercial banks in 1969 to that in 1980? (iv)State whether true or false: The number of commercial banks in 1983 is less than double the number of commercial banks in 1969.
Answer» Read the bar graph shown in figure and answer the following questions: (i) What is the information given by the bar graph? (ii)What WaS the number of commercial banks in 1977? (iii)What is the ratio of the number of commercial banks in 1969 to that in 1980? (iv)State whether true or false: The number of commercial banks in 1983 is less than double the number of commercial banks in 1969.

44.

Read the bar graph shown in figure and answer the following questions: (i) What is the information given by the bar graph? (ii)What WaS the number of commercial banks in 1977? (iii)What is the ratio of the number of commercial banks in 1969 to that in 1980? (iv)State whether true or false: The number of commercial banks in 1983 is less than double the number of commercial banks in 1969.

Answer»

Read the bar graph shown in figure and answer the following questions:
(i) What is the information given by the bar graph?
(ii)What WaS the number of commercial banks in 1977?
(iii)What is the ratio of the number of commercial banks in 1969 to that in 1980?
(iv)State whether true or false:
The number of commercial banks in 1983 is less than double the number of commercial banks in 1969.

Discussion

45.	In the figure, If ∠ACB=40∘. ∠DPB=120∘, find ∠CBD.
Answer» In the figure, If $∠ A C B = 40^{\circ} . ∠ D P B = 120^{\circ},$ find $∠ C B D$ .

45.

In the figure, If ∠ACB=40∘. ∠DPB=120∘, find ∠CBD.

Answer»

In the figure, If $∠ A C B = 40^{\circ} . ∠ D P B = 120^{\circ},$ find $∠ C B D$ .

Discussion

46.	Question 20 In figure, ∠OAB=30∘ and ∠OCB=57∘. Find ∠BOC and ∠AOC.
Answer» Question 20 In figure, $∠ O A B = 30^{\circ} a n d ∠ O C B = 57^{\circ} . F i n d ∠ B O C a n d ∠ A O C$ .

Discussion

47.	If x4+1x4=623, then x+1x=
Answer» If $x^{4} + \frac{1}{x^{4}} = 623, then x + \frac{1}{x} =$

Discussion

48.	Question 111 A square and an equilateral triangle have a side in common. If the side of the triangle is 43 cm long, find the perimeter of the figure formed (see the figure).
Answer» Question 111 A square and an equilateral triangle have a side in common. If the side of the triangle is $\frac{4}{3}$ cm long, find the perimeter of the figure formed (see the figure).

48.

Question 111 A square and an equilateral triangle have a side in common. If the side of the triangle is 43 cm long, find the perimeter of the figure formed (see the figure).

Answer»

Question 111

A square and an equilateral triangle have a side in common. If the side of the triangle is $\frac{4}{3}$ cm long, find the perimeter of the figure formed (see the figure).

Discussion

49.	In the figure, E is the mid-point of side AD of a trapezium ABCD with AB \|\| CD. A line through E parallel to AB meets BC in F. Then find which of the option is correct.
Answer» In the figure, E is the mid-point of side AD of a trapezium ABCD with AB \|\| CD. A line through E parallel to AB meets BC in F. Then find which of the option is correct.

Discussion

50.	In the given figure, AB is parallel to DC. BCE=80∘ and ∠BAC=25∘. Find : (i) ∠CAD (ii) CBD (iii) ADC
Answer» In the given figure, AB is parallel to DC. $B C E = 80^{\circ} a n d ∠ B A C = 25^{\circ} .$ Find : (i) $∠ C A D$ (ii) $C B D$ (iii) $A D C$

50.

In the given figure, AB is parallel to DC. BCE=80∘ and ∠BAC=25∘. Find : (i) ∠CAD (ii) CBD (iii) ADC

Answer»

In the given figure, AB is parallel to DC. $B C E = 80^{\circ} a n d ∠ B A C = 25^{\circ} .$

Find :

(i) $∠ C A D$ (ii) $C B D$ (iii) $A D C$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the value of sin x in the interval 0 ≤ x ≤ π, satisfying the equation 10sin2x - sinx - 2 = 0.

If the circumference of a circle is 528 cm, then its area is ______ cm2. (π=227)

Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products: (xyz-4) (xyz-2)

We know that coincident lines have infinite solutions so find out which among the following pairs of lines are coincident.

Question 6 The midpoint of the sides of the triangle along with any of the vertices as the point make a parallelogram of area equal to: A) 12 ar(ABC) B) 13 ar(ABC) C) 14 ar(ABC) D) ar(ABC)

A cylindrical tube opened at both the ends is made of the iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimeters of iron has been used in making the tube?

Which one of the following equations is an example of a linear equation in two variables?

If y = 4x is written in the form of ax + by + c = 0, then which of the following options represents the values of a, b and c respectively?

Each edge of a cube is increased by 50%, then percentage increase in its surface area =.

What is the factorized form of (2+14x)?

The following table shows the marks obtained by 5 students in a class. What is the average marks of the class? MarksFrequency981651882541

How many lines can be drawn through both of the given points?

Which of the following set of angles are found in a set squares ?

Let the speed of an object falling from a certain height be given by the equation y=10x, where x indicates time. Which of the following is(are) true?

We know the lengths of two adjacent sides and three angles in a quadrilateral. In how many ways can the construction be started? __

In the given figure; AE bisects exterior angle CAD and AE is parallel to BC. Prove that : AB = AC.

The distance of a point (2, 3) from the x- axis is

How many square tiles, each of side 25 cm, will be needed to pave a plot 20 m by 12 m?

(√a − √b)×(√a + √b) =

AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, the distance of AB from the centre of the circle is :

If 1 part of a blue pigment requires 45 ml of base, how much blue pigment should we mix with 900 ml of base.If the ml of the base is doubled calculate how much of blue pigment it will now require? [4 MARKS]

How to prepare for NEET, AIIMS and JIMPER from 9th GRADE

Simplify (xy+yz)2−2x2y2z and find the value when x=−1,y=1 and z=2.

Factorise 9x²+6x+1-25y

If log10 x=y. Then,

A curious 12th class student wants to know and collect the data regarding the percentage of students who got grade A1 in Mathematics during the last 10 years in Board examinations. This collected data is known as

The line ax + by = ab makes intercepts on the x and y axis.

Question 7 ABC is a right angled triangle in which ∠ A=90∘ and AB= AC. Find ∠ B and ∠ C.

Class mark of a particular class is 9.5 , then upper limit + lower limit = _________

Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

For every real number x, x3⩾0. Which of the following make this statement true?

If 3a = 729, then 3a−2 =

On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.

In the given figure, ∠ABC=69∘ and ∠ACB=31∘. Find ∠BDC.

The picture shows an equilateral triangle cut into 2 halves by a line through a vertex A. What is the difference between the perimeter of the triangle ABC and the perimeter of ABO?

Sumeet purchased a book costing ₹ 24.75 and a pencil box. If he got back ₹ 32.75 when he gave a ₹ 100 note. What is the cost of the pencil box in fractional form?

The product of √3 and √12 is a ____ number.

Match the following: 1. cos(90∘−A) a) secA2. cot(90∘−A)b) tanA 3. cosec(90∘−A) c) sinA

How many parts should be shaded in figure B to make it represent the same fraction as the unshaded part of figure A?

The abscissa and ordinate of the origin are

In the given figure, O is the centre of the circle, BD = OD and CD⊥AB. Find ∠CAB.

In the figure, determine the value of x.

A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.

In the figure, If ∠ACB=40∘. ∠DPB=120∘, find ∠CBD.

Question 20 In figure, ∠OAB=30∘ and ∠OCB=57∘. Find ∠BOC and ∠AOC.

If x4+1x4=623, then x+1x=

Question 111 A square and an equilateral triangle have a side in common. If the side of the triangle is 43 cm long, find the perimeter of the figure formed (see the figure).

In the figure, E is the mid-point of side AD of a trapezium ABCD with AB || CD. A line through E parallel to AB meets BC in F. Then find which of the option is correct.

In the given figure, AB is parallel to DC. BCE=80∘ and ∠BAC=25∘. Find : (i) ∠CAD (ii) CBD (iii) ADC