24740 + Interview Questions in Mathematics

1.	One card is drawn from a pack of 52 cards at random. Now, the probability that the card drawn is either red or king is
Answer» One card is drawn from a pack of 52 cards at random. Now, the probability that the card drawn is either red or king is

Discussion

2.	If a circle is divided into three equal arcs, each arc is a
Answer» If a circle is divided into three equal arcs, each arc is a

Discussion

3.	Which of the following is linear equation?
Answer» Which of the following is linear equation?

Discussion

4.	Which of the following graphs may correspond to the equation y = k where k is a negative rational number.
Answer» Which of the following graphs may correspond to the equation y = k where k is a negative rational number.

Discussion

5.	If pqr=1 then prove: (1\1+p+qq-1) + (1\1+q+r-1) +(1\1+p+r-1)=1
Answer» If pqr=1 then prove: (1\1+p+q^q-1) + (1\1+q+r^-1) +(1\1+p+r^-1)=1

Discussion

6.	Combine P and Q using if and only if P: If a quadrilateral is equiangular,then it is a rectangle. Q: If a quadrilateral is a rectangle, then it is equiangular.
Answer» Combine P and Q using if and only if P: If a quadrilateral is equiangular,then it is a rectangle. Q: If a quadrilateral is a rectangle, then it is equiangular.

6.

Combine P and Q using if and only if P: If a quadrilateral is equiangular,then it is a rectangle. Q: If a quadrilateral is a rectangle, then it is equiangular.

Answer»

Combine P and Q using if and only if

P: If a quadrilateral is equiangular,then it is a rectangle.

Q: If a quadrilateral is a rectangle, then it is equiangular.

Discussion

7.	In the figure, ABCP is a parallelogram and P is the midpoint of CD. Which of the following is correct?
Answer» In the figure, ABCP is a parallelogram and P is the midpoint of CD. Which of the following is correct?

Discussion

8.	Find the value of log3 4. log4 5. log5 6. log6 7. log7 8. log8 9.2
Answer» Find the value of $l o g_{3} 4. l o g_{4} 5. l o g_{5} 6. l o g_{6} 7. l o g_{7} 8. l o g_{8} 9$ . 2

Discussion

9.	Question 5 Find the difference between the greatest and the smallest number that can be written using the digits 6, 2, 7, 4, 3 each being used only once.
Answer» Question 5 Find the difference between the greatest and the smallest number that can be written using the digits 6, 2, 7, 4, 3 each being used only once.

Discussion

10.	Prove that the sum of any two sides of a triangle is greater than twice the length of median drawn to the third side
Answer» Prove that the sum of any two sides of a triangle is greater than twice the length of median drawn to the third side

Discussion

11.	An electrician has to repair an electric falt on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to undertake the repair work. What should be the length of the ladder that he should use which when inclined at an angle of 60∘ to the horizontal would enable him to reach the required position? [2 MARKS]
Answer» An electrician has to repair an electric falt on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to undertake the repair work. What should be the length of the ladder that he should use which when inclined at an angle of $60^{\circ}$ to the horizontal would enable him to reach the required position? [2 MARKS]

Discussion

12.	The mean marks of 20 students of a class is 70. So the sum of their marks is equal to
Answer» The mean marks of 20 students of a class is 70. So the sum of their marks is equal to

Discussion

13.	Question 1 (iv) 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 - 7 = 0 ; 3x - 3y - 15= 0
Answer» Question 1 (iv) 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 - 7 = 0 ; 3x - 3y - 15= 0

Discussion

14.	The distance between the points (5, 5) and (3, 3) is ___.
Answer» The distance between the points (5, 5) and (3, 3) is ___.

Discussion

15.	In Δ ABC, DE ∥ BC. Then according to Basic Proportionality Theorem
Answer» In $Δ$ ABC, DE $∥$ BC. Then according to Basic Proportionality Theorem

Discussion

16.	The length of the diagonal of a cube is given 6√3cm , then what is the length of the edge of the cube?
Answer» The length of the diagonal of a cube is given 6√3cm , then what is the length of the edge of the cube?

Discussion

17.	The adjoining diagram shows a Pentagon inscribed in a circle, center O. Given AB=BC=CD and ∠ABC=132∘. Calculate the value of (i) ∠AEB (ii) ∠AED (iii) ∠COD
Answer» The adjoining diagram shows a Pentagon inscribed in a circle, center $O .$ Given $A B = B C = C D$ and $∠ A B C = 132^{\circ}$ . Calculate the value of (i) $∠ A E B$ (ii) $∠ A E D$ (iii) $∠ C O D$

17.

The adjoining diagram shows a Pentagon inscribed in a circle, center O. Given AB=BC=CD and ∠ABC=132∘. Calculate the value of (i) ∠AEB (ii) ∠AED (iii) ∠COD

Answer»

The adjoining diagram shows a Pentagon inscribed in a circle, center $O .$ Given $A B = B C = C D$ and $∠ A B C = 132^{\circ}$ . Calculate the value of

(i) $∠ A E B$

(ii) $∠ A E D$

(iii) $∠ C O D$

Discussion

18.	Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in (i) 212 Hours (ii) 12 Hour
Answer» Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in (i) $2 \frac{1}{2} H o u r s$ (ii) $\frac{1}{2} H o u r$

18.

Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in (i) 212 Hours (ii) 12 Hour

Answer»

Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in

(i) $2 \frac{1}{2} H o u r s$ (ii) $\frac{1}{2} H o u r$

Discussion

19.	Rationalise the denominator of 1√3−√2.
Answer» Rationalise the denominator of $\frac{1}{\sqrt{3} - \sqrt{2}}$ .

Discussion

20.	Give geometrical representation of equation 3x+12=0 in 1)one variable 2)two variables
Answer» Give geometrical representation of equation 3x+12=0 in 1)one variable 2)two variables

20.

Give geometrical representation of equation 3x+12=0 in 1)one variable 2)two variables

Answer»

Give geometrical representation of equation 3x+12=0 in

1)one variable 2)two variables

Discussion

21.	What will come in place of the question mark (?) in the following questions? 97×36÷92.4=9?
Answer» What will come in place of the question mark (?) in the following questions? $9^{7} \times 3^{6} \div 9^{2.4} = 9^{?}$

21.

What will come in place of the question mark (?) in the following questions? 97×36÷92.4=9?

Answer»

What will come in place of the question mark (?) in the following questions?

$9^{7} \times 3^{6} \div 9^{2.4} = 9^{?}$

Discussion

22.	Sonal went to school for 219 days in a full year. If her attendance is 75%. Find the number of days on which the school was open.
Answer» Sonal went to school for 219 days in a full year. If her attendance is 75%. Find the number of days on which the school was open.

Discussion

23.	Simultaneous linear equations Six tearyhence a man's age will be three times his son's age , and 3 years ago he was 9 times as old as his son. Find their present age.
Answer» Simultaneous linear equations Six tearyhence a man's age will be three times his son's age , and 3 years ago he was 9 times as old as his son. Find their present age.

23.

Simultaneous linear equations Six tearyhence a man's age will be three times his son's age , and 3 years ago he was 9 times as old as his son. Find their present age.

Answer»

Simultaneous linear equations

Six tearyhence a man's age will be three times his son's age , and 3 years ago he was 9 times as old as his son. Find their present age.

Discussion

24.	Match the following:QuadrilateralProperties1. TrapeziumA) A parallelogram, where diagonals bisect at right angles, all sides are equal and none ofthe angles are equal to 90∘2. SquareB) A quadrilateral, where only one pair of opposite sides are parallel and unequal3. RectangleC) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90∘4. RhombusD) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90∘
Answer» Match the following: $\begin{matrix} Quadrilateral & Properties 1. Trapezium & A) A parallelogram, where diagonals bisect at right angles, all sides are equal and none ofthe angles are equal to 90^{\circ} 2. Square & B) A quadrilateral, where only one pair of opposite sides are parallel and unequal 3. Rectangle & C) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90^{\circ} 4. Rhombus & D) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90^{\circ} \end{matrix}$

Discussion

25.	The dimensions of the cuboid are in the ratio of 4:3:2 if the total surface area of the cuboid is 4212 meter sq.find the volume of the cuboid
Answer» The dimensions of the cuboid are in the ratio of 4:3:2 if the total surface area of the cuboid is 4212 meter sq.find the volume of the cuboid

Discussion

26.	The numerator of a fraction is greater than its denominator by 1. The difference between the reciprocal of its denominator to the reciprocal of its numerator is 112. Then the fraction is
Answer» The numerator of a fraction is greater than its denominator by 1. The difference between the reciprocal of its denominator to the reciprocal of its numerator is $\frac{1}{12}$ . Then the fraction is

Discussion

27.	Find the perpendicular distance of the point p (5,7) from then axis
Answer» Find the perpendicular distance of the point p (5,7) from then axis

Discussion

28.	Question 10 D and E are the mid-points of the sides AB and AC of ∆ABC and O is any point on Side BC. O is joined to A, if P and Q are the mid-points of OB and OC respectively, then DEQP is (A) a square (B) a rectangle (C) a rhombus (D) a parallelogram
Answer» Question 10 D and E are the mid-points of the sides AB and AC of ∆ABC and O is any point on Side BC. O is joined to A, if P and Q are the mid-points of OB and OC respectively, then DEQP is (A) a square (B) a rectangle (C) a rhombus (D) a parallelogram

Discussion

29.	If the function f:[1,∞)→[1,∞) is defined by f(x)=2x(x−1), then f−1(x) is
Answer» If the function $f : [1, \infty) \to [1, \infty)$ is defined by $f (x) = 2^{x (x - 1)}$ , then $f^{- 1} (x)$ is

Discussion

30.	Irrational number between 12 & 52
Answer» Irrational number between $\frac{1}{2}$ & $\frac{5}{2}$

Discussion

31.	Question 12 If the point P(2,1) lies on the line segment joining points A(4,2) and B(8,4) then (A) AP=13AB (B) AP=PB (C) PB=13AB (D) AP=12AB
Answer» Question 12 If the point P(2,1) lies on the line segment joining points A(4,2) and B(8,4) then (A) $A P = \frac{1}{3} A B$ (B) $A P = P B$ (C) $P B = \frac{1}{3} A B$ (D) $A P = \frac{1}{2} A B$

Discussion

32.	In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105o and ∠OXC = y. Then y is equal to
Answer» In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105^o and ∠OXC = y. Then y is equal to

32.

In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105o and ∠OXC = y. Then y is equal to

Answer»

In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105^o and ∠OXC = y. Then y is equal to

Discussion

33.	Which of the following lies between 254 and 223?
Answer» Which of the following lies between $\frac{25}{4}$ and $\frac{22}{3} ?$

Discussion

34.	A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD and AD are P, Q, R and S respectively. If quadrilateral ABCD is a parallelogram, what can be said about sides SP and QR?
Answer» A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD and AD are P, Q, R and S respectively. If quadrilateral ABCD is a parallelogram, what can be said about sides SP and QR?

34.

A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD and AD are P, Q, R and S respectively. If quadrilateral ABCD is a parallelogram, what can be said about sides SP and QR?

Answer»

A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD and AD are P, Q, R and S respectively.

If quadrilateral ABCD is a parallelogram, what can be said about sides SP and QR?

Discussion

35.	Rohit can row downstream 32 km in 4 hours and upstream 4km in 1 hour. Find his speed in still water and the speed of the current.
Answer» Rohit can row downstream 32 km in 4 hours and upstream 4km in 1 hour. Find his speed in still water and the speed of the current.

Discussion

36.	Proof that 7+root5 is not a rational number.
Answer» Proof that 7+root5 is not a rational number.

Discussion

37.	Question 9 (i) A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 12.12. Find: (i) The total length of the silver wire required.
Answer» Question 9 (i) A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 12.12. Find: (i) The total length of the silver wire required.

Discussion

38.	Find the point on the x-axis which is equidistant from (2, - 5) and (- 2, 9).
Answer» Find the point on the x-axis which is equidistant from (2, - 5) and (- 2, 9).

Discussion

39.	If the total surface area of a cube is 216 cm2, then find its volume.
Answer» If the total surface area of a cube is $216 c m^{2}$ , then find its volume.

Discussion

40.	How to find circumference of circle.
Answer» How to find circumference of circle.

Discussion

41.	The volume and surface area of a sphere of radius 'r' respectively are
Answer» The volume and surface area of a sphere of radius 'r' respectively are

Discussion

42.	Find the measure of the complementary angle of the following angles: (i)22∘ (ii)63∘ [2 MARKS]
Answer» Find the measure of the complementary angle of the following angles: $(i) 22^{\circ}$ $(i i) 63^{\circ}$ [2 MARKS]

Discussion

43.	Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that ar(APB)×ar(CPD)=ar(APD)×ar(BPC) [4 MARKS]
Answer» Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that $a r (A P B) \times a r (C P D) = a r (A P D) \times a r (B P C)$ [4 MARKS]

Discussion

44.	If the figure is a rectangle, what will be the value of x
Answer» If the figure is a rectangle, what will be the value of $x$

Discussion

45.	ABC ssd
Answer» ABC ssd

Discussion

46.	The runs scored by the top 11 players during a cricket tournament are given below : Smith - 540 , Warner - 480 , DeVilliers - 615 , Gayle - 440 , Parera - 400 Rohit - 565 , Zaman - 600 , Guptill - 490 , Duplessis - 555 , Root - 595 and Kohli - 770 Find the average runs scored by the top Eleven.
Answer» The runs scored by the top 11 players during a cricket tournament are given below : Smith - 540 , Warner - 480 , DeVilliers - 615 , Gayle - 440 , Parera - 400 Rohit - 565 , Zaman - 600 , Guptill - 490 , Duplessis - 555 , Root - 595 and Kohli - 770 Find the average runs scored by the top Eleven.

46.

The runs scored by the top 11 players during a cricket tournament are given below : Smith - 540 , Warner - 480 , DeVilliers - 615 , Gayle - 440 , Parera - 400 Rohit - 565 , Zaman - 600 , Guptill - 490 , Duplessis - 555 , Root - 595 and Kohli - 770 Find the average runs scored by the top Eleven.

Answer»

The runs scored by the top 11 players during a cricket tournament are given below :

Smith - 540 , Warner - 480 , DeVilliers - 615 , Gayle - 440 , Parera - 400

Rohit - 565 , Zaman - 600 , Guptill - 490 , Duplessis - 555 , Root - 595 and Kohli - 770

Find the average runs scored by the top Eleven.

Discussion

47.	Which of the following figures include triangles/parallelograms on the same base and between the same parallel lines?
Answer» Which of the following figures include triangles/parallelograms on the same base and between the same parallel lines?

47.

Which of the following figures include triangles/parallelograms on the same base and between the same parallel lines?

Answer»

Which of the following figures include triangles/parallelograms on the same base and between the same parallel lines?

Discussion

48.	Find the values of p, q, r and s in the given cumulative frequency distribution. xfrequencyCumulative frequency103p1510q2025r257s30545+5=50
Answer» Find the values of $p, q, r$ and $s$ in the given cumulative frequency distribution. $\begin{matrix} x & frequency & Cumulative frequency 10 & 3 & p 15 & 10 & q 20 & 25 & r 25 & 7 & s 30 & 5 & 45 + 5 = 50 \end{matrix}$

48.

Find the values of p, q, r and s in the given cumulative frequency distribution. xfrequencyCumulative frequency103p1510q2025r257s30545+5=50

Answer»

Find the values of $p, q, r$ and $s$ in the given cumulative frequency distribution.

$\begin{matrix} x & frequency & Cumulative frequency 10 & 3 & p 15 & 10 & q 20 & 25 & r 25 & 7 & s 30 & 5 & 45 + 5 = 50 \end{matrix}$

Discussion

49.	The diameter of a copper sphere is 18 cm, It is melted and drawn into a long wire of uniform cross-section. If the length of the wire is 108 m, find its diameter.
Answer» The diameter of a copper sphere is $18 c m,$ It is melted and drawn into a long wire of uniform cross-section. If the length of the wire is $108 m,$ find its diameter.

Discussion

50.	What are (i) primary data? (ii) secondary data? Which of the two - the primary or the secondary data - is more reliable and why?
Answer» What are (i) primary data? (ii) secondary data? Which of the two - the primary or the secondary data - is more reliable and why?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

One card is drawn from a pack of 52 cards at random. Now, the probability that the card drawn is either red or king is

If a circle is divided into three equal arcs, each arc is a

Which of the following is linear equation?

Which of the following graphs may correspond to the equation y = k where k is a negative rational number.

If pqr=1 then prove: (1\1+p+q​​​​​​​​​​​q-1) + (1\1+q+r​​​​​​​​​​​-1) +(1\1+p+r​​​​​​-1)=1

Combine P and Q using if and only if P: If a quadrilateral is equiangular,then it is a rectangle. Q: If a quadrilateral is a rectangle, then it is equiangular.

In the figure, ABCP is a parallelogram and P is the midpoint of CD. Which of the following is correct?​

Find the value of log3 4. log4 5. log5 6. log6 7. log7 8. log8 9.2

Question 5 Find the difference between the greatest and the smallest number that can be written using the digits 6, 2, 7, 4, 3 each being used only once.

Prove that the sum of any two sides of a triangle is greater than twice the length of median drawn to the third side

The mean marks of 20 students of a class is 70. So the sum of their marks is equal to

Question 1 (iv) 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 - 7 = 0 ; 3x - 3y - 15= 0

The distance between the points (5, 5) and (3, 3) is ___.

In Δ ABC, DE ∥ BC. Then according to Basic Proportionality Theorem

The length of the diagonal of a cube is given 6√3cm , then what is the length of the edge of the cube?

The adjoining diagram shows a Pentagon inscribed in a circle, center O. Given AB=BC=CD and ∠ABC=132∘. Calculate the value of (i) ∠AEB (ii) ∠AED (iii) ∠COD

Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in (i) 212 Hours (ii) 12 Hour

Rationalise the denominator of 1√3−√2.

Give geometrical representation of equation 3x+12=0 in 1)one variable 2)two variables

What will come in place of the question mark (?) in the following questions? 97×36÷92.4=9?

Sonal went to school for 219 days in a full year. If her attendance is 75%. Find the number of days on which the school was open.

Simultaneous linear equations Six tearyhence a man's age will be three times his son's age , and 3 years ago he was 9 times as old as his son. Find their present age.

The dimensions of the cuboid are in the ratio of 4:3:2 if the total surface area of the cuboid is 4212 meter sq.find the volume of the cuboid

The numerator of a fraction is greater than its denominator by 1. The difference between the reciprocal of its denominator to the reciprocal of its numerator is 112. Then the fraction is

Find the perpendicular distance of the point p (5,7) from then axis

Question 10 D and E are the mid-points of the sides AB and AC of ∆ABC and O is any point on Side BC. O is joined to A, if P and Q are the mid-points of OB and OC respectively, then DEQP is (A) a square (B) a rectangle (C) a rhombus (D) a parallelogram

If the function f:[1,∞)→[1,∞) is defined by f(x)=2x(x−1), then f−1(x) is

Irrational number between 12 & 52

Question 12 If the point P(2,1) lies on the line segment joining points A(4,2) and B(8,4) then (A) AP=13AB (B) AP=PB (C) PB=13AB (D) AP=12AB

In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105o and ∠OXC = y. Then y is equal to

Which of the following lies between 254 and 223?

A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD and AD are P, Q, R and S respectively. If quadrilateral ABCD is a parallelogram, what can be said about sides SP and QR?

Rohit can row downstream 32 km in 4 hours and upstream 4km in 1 hour. Find his speed in still water and the speed of the current.

Proof that 7+root5 is not a rational number.

Question 9 (i) A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 12.12. Find: (i) The total length of the silver wire required.

Find the point on the x-axis which is equidistant from (2, - 5) and (- 2, 9).

If the total surface area of a cube is 216 cm2, then find its volume.

How to find circumference of circle.

The volume and surface area of a sphere of radius 'r' respectively are

Find the measure of the complementary angle of the following angles: (i)22∘ (ii)63∘ [2 MARKS]

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that ar(APB)×ar(CPD)=ar(APD)×ar(BPC) [4 MARKS]

If the figure is a rectangle, what will be the value of x

ABC ssd

The runs scored by the top 11 players during a cricket tournament are given below : Smith - 540 , Warner - 480 , DeVilliers - 615 , Gayle - 440 , Parera - 400 Rohit - 565 , Zaman - 600 , Guptill - 490 , Duplessis - 555 , Root - 595 and Kohli - 770 Find the average runs scored by the top Eleven.

Which of the following figures include triangles/parallelograms on the same base and between the same parallel lines?

Find the values of p, q, r and s in the given cumulative frequency distribution. xfrequencyCumulative frequency103p1510q2025r257s30545+5=50

The diameter of a copper sphere is 18 cm, It is melted and drawn into a long wire of uniform cross-section. If the length of the wire is 108 m, find its diameter.

What are (i) primary data? (ii) secondary data? Which of the two - the primary or the secondary data - is more reliable and why?

If pqr=1 then prove: (1\1+p+qq-1) + (1\1+q+r-1) +(1\1+p+r-1)=1

In the figure, ABCP is a parallelogram and P is the midpoint of CD. Which of the following is correct?