24740 + Interview Questions in Mathematics

1.	Find the measure of the supplementary angle of the following angles : (i) 45∘ (ii) 57∘ [2 MARKS]
Answer» Find the measure of the supplementary angle of the following angles : (i) $45^{\circ}$ (ii) $57^{\circ}$ [2 MARKS]

Discussion

2.	In the figure, ABC is an equilateral triangle. Measure of angle BEC is
Answer» In the figure, ABC is an equilateral triangle. Measure of angle BEC is

2.

In the figure, ABC is an equilateral triangle. Measure of angle BEC is

Answer»

In the figure, ABC is an equilateral triangle. Measure of angle BEC is

Discussion

3.	A kite in the shape of a square with each diagonal 32cm and having a tail in the shape of an isosceles triangle of base 8cm and each side 6cm, is made of three different shades as shown in the figure. How much paper of each shade has been used in it? [Given √5=2.24 ]
Answer» A kite in the shape of a square with each diagonal 32cm and having a tail in the shape of an isosceles triangle of base 8cm and each side 6cm, is made of three different shades as shown in the figure. How much paper of each shade has been used in it? [Given $\sqrt{5} = 2.24$ ]

Discussion

4.	Question 10 In ΔABC and ΔPQR, if AB=AC,∠C=∠P and ∠B=∠Q. The two triangles are (A) isosceles but not congruent (B) isosceles and congruent (C) congruent but not isosceles (D) neither congruent nor isosceles
Answer» Question 10 In $Δ A B C$ and $Δ P Q R$ , if $A B = A C, ∠ C = ∠ P$ and $∠ B = ∠ Q$ . The two triangles are (A) isosceles but not congruent (B) isosceles and congruent (C) congruent but not isosceles (D) neither congruent nor isosceles

Discussion

5.	Find the value of 2√11+9√11 ?
Answer» Find the value of $2 \sqrt{11} + 9 \sqrt{11}$ ?

Discussion

6.	In ΔABC, AB = AC and the bisector of ∠B and ∠C meet at a point O, then ΔOBC is
Answer» In ΔABC, AB = AC and the bisector of ∠B and ∠C meet at a point O, then ΔOBC is

6.

In ΔABC, AB = AC and the bisector of ∠B and ∠C meet at a point O, then ΔOBC is

Answer»

In ΔABC, AB = AC and the bisector of ∠B and ∠C meet at a point O, then ΔOBC is

Discussion

7.	Question 8 (ii) A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red?
Answer» Question 8 (ii) A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red?

Discussion

8.	Find two irrational and two rational numbers between 2 & 3. [4 MARKS]
Answer» Find two irrational and two rational numbers between 2 & 3. [4 MARKS]

Discussion

9.	Which of the following is true in case of direct proportions?
Answer» Which of the following is true in case of direct proportions?

Discussion

10.	The equation of the line whose slope is 2 and y - intercept is 3 is
Answer» The equation of the line whose slope is 2 and y - intercept is 3 is

Discussion

11.	The value of \|-44 + 62\| + \|11\| - \|28\| is
Answer» The value of \|-44 + 62\| + \|11\| - \|28\| is

Discussion

12.	Find (i) the curved surface area and (ii) the total surface area of a hemisphere of radius 7 cm. [2 MARKS]
Answer» Find (i) the curved surface area and (ii) the total surface area of a hemisphere of radius 7 cm. [2 MARKS]

Discussion

13.	Find the remainder obtained on dividing p(x)=x^3+1 by x+1.
Answer» Find the remainder obtained on dividing p(x)=x^3+1 by x+1.

Discussion

14.	The area of an isosceles triangle with base 10 cm and perimeter 36cm is:
Answer» The area of an isosceles triangle with base 10 cm and perimeter 36cm is:

Discussion

15.	Find the values of a and b so that the polynomial (x3−10x2ax+b) is exactly divisible by (x -1) as well as (x -2).
Answer» Find the values of a and b so that the polynomial $(x^{3} - 10 x^{2} a x + b)$ is exactly divisible by (x -1) as well as (x -2).

Discussion

16.	Thirty children were asked about the number of hours they watched T.V. programmes in the previous week. The results were found as follows: 1 6 2 3 5 12 5 8 4 8 10 3 4 12 2 8 15 1 17 6 3 2 8 5 9 6 8 7 14 12 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5 - 10 (ii) How many children watched television for 15 or more hours a week?
Answer» Thirty children were asked about the number of hours they watched T.V. programmes in the previous week. The results were found as follows: 1 6 2 3 5 12 5 8 4 8 10 3 4 12 2 8 15 1 17 6 3 2 8 5 9 6 8 7 14 12 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5 - 10 (ii) How many children watched television for 15 or more hours a week?

Discussion

17.	Use the following information to answer the next question. The given figure is formed by joining two triangles. Here, the length of each side is not drawn according to scale. Which of the following inequalities is incorrect?
Answer» Use the following information to answer the next question. The given figure is formed by joining two triangles. Here, the length of each side is not drawn according to scale. Which of the following inequalities is incorrect?

17.

Use the following information to answer the next question. The given figure is formed by joining two triangles. Here, the length of each side is not drawn according to scale. Which of the following inequalities is incorrect?

Answer»

Use the following information to answer the next question.

The given figure is formed by joining two triangles. Here, the length of each side is not drawn according to scale.

Which of the following inequalities is incorrect?

Discussion

18.	Question 6 Represent geometrically the following number on the number line (i) √4.5 (ii) √5.6 (iii) √8.1 (iv) √2.3 Thinking process (i) Firstly, we draw a line segment AB of length equal to the number inside the root and extend it to C such that BC = 1. (ii) Draw a semi-circle with centre O ( O is the midpoint of AC ) and radius OA. (iii) Now, draw a perpendicular line from B to cut the semicircle at D. (iv)Further, draw an arc with centre B and radius BD meeting AC produced at E.
Answer» Question 6 Represent geometrically the following number on the number line (i) $\sqrt{4.5}$ (ii) $\sqrt{5.6}$ (iii) $\sqrt{8.1}$ (iv) $\sqrt{2.3}$ Thinking process (i) Firstly, we draw a line segment AB of length equal to the number inside the root and extend it to C such that BC = 1. (ii) Draw a semi-circle with centre O ( O is the midpoint of AC ) and radius OA. (iii) Now, draw a perpendicular line from B to cut the semicircle at D. (iv)Further, draw an arc with centre B and radius BD meeting AC produced at E.

Discussion

19.	If the base of a triangle is 24cm and height is twice the base, what will be the area of the triangle in cm2?
Answer» If the base of a triangle is 24cm and height is twice the base, what will be the area of the triangle in $c m^{2}$ ?

Discussion

20.	Question 8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see Fig. 12.11). Find: (i) The area of that part of the field in which the horse can graze.
Answer» Question 8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see Fig. 12.11). Find: (i) The area of that part of the field in which the horse can graze.

Discussion

21.	It is known that a box of 550 bulbs contains 22 defective bulbs. One bulb is taken out at random from the box. Find the probability of getting a good bulb?
Answer» It is known that a box of 550 bulbs contains 22 defective bulbs. One bulb is taken out at random from the box. Find the probability of getting a good bulb?

Discussion

22.	Question 5 If a line segment joining midpoints of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.
Answer» Question 5 If a line segment joining midpoints of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

Discussion

23.	If 2^i+3^j+4^k and ^i−^j+^k are two adjacent sides of a parallelogram, then the area of the parallelogram will be
Answer» If $2^i + 3^j + 4^k$ and $^i -^j +^k$ are two adjacent sides of a parallelogram, then the area of the parallelogram will be

Discussion

24.	The length of chord which is at a distance of 12 cm from centre of circle of radius 13 cm is:
Answer» The length of chord which is at a distance of 12 cm from centre of circle of radius 13 cm is:

Discussion

25.	Which of the following is a linear equation in one variable?
Answer» Which of the following is a linear equation in one variable?

Discussion

26.	What is the major difference between bisector, perpendicular,altitu aland median.
Answer» What is the major difference between bisector, perpendicular,altitu aland median.

Discussion

27.	Which of these lines do not pass through the point (2, 2)?
Answer» Which of these lines do not pass through the point (2, 2)?

Discussion

28.	PQ is a line parallel to side BC and passing through vertex A of a triangle ABC. If BE ∥ AC and CF ∥ AB meet PQ at E and F respectively. If the base and altitude of △ABC are 6 cm and 8 cm respectively, Find the area of △ACF. [1 MARK]
Answer» PQ is a line parallel to side BC and passing through vertex A of a triangle ABC. If BE $∥$ AC and CF $∥$ AB meet PQ at E and F respectively. If the base and altitude of $△$ ABC are 6 cm and 8 cm respectively, Find the area of $△$ ACF. [1 MARK]

Discussion

29.	Median of the following dataset:- -5 , -15 , -10 , -2 , -4 , -2 , -17 , -1-4.5
Answer» Median of the following dataset:- -5 , -15 , -10 , -2 , -4 , -2 , -17 , -1 -4.5

Discussion

30.	Find the area of a rectangle whose length is 5xy units and breadth is 8xy2 units.
Answer» Find the area of a rectangle whose length is $5 x y$ units and breadth is $8 x y^{2}$ units.

Discussion

31.	Find three rational numbers lying between 35 and 78 . How many rational numbers can be determined between these two numbers?
Answer» Find three rational numbers lying between $\frac{3}{5}$ and $\frac{7}{8}$ . How many rational numbers can be determined between these two numbers?

31.

Find three rational numbers lying between 35 and 78 . How many rational numbers can be determined between these two numbers?

Answer»

Find three rational numbers lying between $\frac{3}{5}$ and $\frac{7}{8}$ .

How many rational numbers can be determined between these two numbers?

Discussion

32.	Find the area of the regular hexagon whose side length is 6 m.
Answer» Find the area of the regular hexagon whose side length is 6 m.

Discussion

33.	How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?
Answer» How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?

Discussion

34.	The value of (1−cosA)(1+cosA)(cosec2A) is ___
Answer» The value of $(1 - c o s A) (1 + c o s A) (c o s e c^{2} A)$ is ___

Discussion

35.	In triangleABC,AB is equal to AC ,and the bisector of angle B and C intersect at point O prove that BO=CO and the ray AO is the bisector of angleBAC
Answer» In triangleABC,AB is equal to AC ,and the bisector of angle B and C intersect at point O prove that BO=CO and the ray AO is the bisector of angleBAC

Discussion

36.	What is the longest side of a right angled triangle called ?
Answer» What is the longest side of a right angled triangle called ?

Discussion

37.	Which of the following best describes a 90∘ angle?
Answer» Which of the following best describes a $90^{\circ}$ angle?

Discussion

38.	If both (x+2) and (2x-1) are the factors of ax² + 5x +b, show that a- b=0
Answer» If both (x+2) and (2x-1) are the factors of ax² + 5x +b, show that a- b=0

Discussion

39.	The points A=7(4,7),B(P,3)and C(7,3) are the vertices of a triangle,right angled at B.Find the value of P.
Answer» The points A=7(4,7),B(P,3)and C(7,3) are the vertices of a triangle,right angled at B.Find the value of P.

Discussion

40.	Find 2 rational and an irrational number in between 0.232332333233332... and 0.252552555255552...
Answer» Find 2 rational and an irrational number in between 0.232332333233332... and 0.252552555255552...

40.

Find 2 rational and an irrational number in between 0.232332333233332... and 0.252552555255552...

Answer»

Find 2 rational and an irrational number in between 0.232332333233332... and

0.252552555255552...

Discussion

41.	In a society, the management wants to put a circular fountain at the centre of the square park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is Rs. 20/ m2 and cost for constructing the fountain is 10/m2. Find the length of the field if the total cost incurred is Rs. 6460. (Use π=227)
Answer» In a society, the management wants to put a circular fountain at the centre of the square park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is Rs. 20/ $m^{2}$ and cost for constructing the fountain is 10/ $m^{2}$ . Find the length of the field if the total cost incurred is Rs. 6460. $(U s e π = \frac{22}{7})$

Discussion

42.	If a<0 and b<0, then the point P (a, b) lies in which quadrant?
Answer» If a<0 and b<0, then the point P (a, b) lies in which quadrant?

Discussion

43.	A and B represent two fractions. The following information is known: A < 1 B > 1 When A and B are multiplied, the result is a new fraction C. Choose the correct option(s):
Answer» A and B represent two fractions. The following information is known: A < 1 B > 1 When A and B are multiplied, the result is a new fraction C. Choose the correct option(s):

43.

A and B represent two fractions. The following information is known: A < 1 B > 1 When A and B are multiplied, the result is a new fraction C. Choose the correct option(s):

Answer»

A and B represent two fractions. The following information is known:

A < 1

B > 1

When A and B are multiplied, the result is a new fraction C.

Choose the correct option(s):

Discussion

44.	Using the given figure, BC = ___ cm.
Answer» Using the given figure, BC = ___ cm.

44.

Using the given figure, BC = ___ cm.

Answer»

Using the given figure, BC = ___ cm.

Discussion

45.	The intercept made by the plane →r.→n=q on the x-axis is
Answer» The intercept made by the plane $\to r . \to n = q$ on the x-axis is

Discussion

46.	(164)∘+(64)−12−(−32)45 is equal to
Answer» ${(\frac{1}{64})}^{\circ} + (64)^{- \frac{1}{2}} - (- 32)^{\frac{4}{5}}$ is equal to

Discussion

47.	Find three different irrational numbers between the rational numbers 5/7 & 9/11. Give solution also with full method.
Answer» Find three different irrational numbers between the rational numbers 5/7 & 9/11. Give solution also with full method.

Discussion

48.	A path of 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is___m2.
Answer» A path of 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is___ $m^{2}$ .

Discussion

49.	If Chameli had ₹600 left after spending 75% of her money, how much did she have in beginning?
Answer» If Chameli had ₹600 left after spending 75% of her money, how much did she have in beginning?

Discussion

50.	The slant height of a cone is 25 cm. If the circumference of the base of the cone is 44 cm, then the volume of the cone isA) 1052 cm3B) 2341.5 cm3C) 1232 cm3D) 3261 cm3
Answer» The slant height of a cone is $25 c m .$ If the circumference of the base of the cone is $44 c m,$ then the volume of the cone is A) $1052 c m^{3}$ B) $2341.5 c m^{3}$ C) $1232 c m^{3}$ D) $3261 c m^{3}$

50.

The slant height of a cone is 25 cm. If the circumference of the base of the cone is 44 cm, then the volume of the cone isA) 1052 cm3B) 2341.5 cm3C) 1232 cm3D) 3261 cm3

Answer»

The slant height of a cone is $25 c m .$ If the circumference of the base of the cone is $44 c m,$ then the volume of the cone is

A) $1052 c m^{3}$

B) $2341.5 c m^{3}$

C) $1232 c m^{3}$

D) $3261 c m^{3}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the measure of the supplementary angle of the following angles : (i) 45∘ (ii) 57∘ [2 MARKS]

In the figure, ABC is an equilateral triangle. Measure of angle BEC is

A kite in the shape of a square with each diagonal 32cm and having a tail in the shape of an isosceles triangle of base 8cm and each side 6cm, is made of three different shades as shown in the figure. How much paper of each shade has been used in it? [Given √5=2.24 ]

Question 10 In ΔABC and ΔPQR, if AB=AC,∠C=∠P and ∠B=∠Q. The two triangles are (A) isosceles but not congruent (B) isosceles and congruent (C) congruent but not isosceles (D) neither congruent nor isosceles

Find the value of 2√11+9√11 ?

In ΔABC, AB = AC and the bisector of ∠B and ∠C meet at a point O, then ΔOBC is

Question 8 (ii) A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red?

Find two irrational and two rational numbers between 2 &amp; 3. [4 MARKS]

Which of the following is true in case of direct proportions?

The equation of the line whose slope is 2 and y - intercept is 3 is

The value of |-44 + 62| + |11| - |28| is

Find (i) the curved surface area and (ii) the total surface area of a hemisphere of radius 7 cm. [2 MARKS]

Find the remainder obtained on dividing p(x)=x^3+1 by x+1.

The area of an isosceles triangle with base 10 cm and perimeter 36cm is:

Find the values of a and b so that the polynomial (x3−10x2ax+b) is exactly divisible by (x -1) as well as (x -2).

Use the following information to answer the next question. The given figure is formed by joining two triangles. Here, the length of each side is not drawn according to scale. Which of the following inequalities is incorrect?

If the base of a triangle is 24cm and height is twice the base, what will be the area of the triangle in cm2?

Question 8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see Fig. 12.11). Find: (i) The area of that part of the field in which the horse can graze.

It is known that a box of 550 bulbs contains 22 defective bulbs. One bulb is taken out at random from the box. Find the probability of getting a good bulb?

Question 5 If a line segment joining midpoints of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

If 2^i+3^j+4^k and ^i−^j+^k are two adjacent sides of a parallelogram, then the area of the parallelogram will be

The length of chord which is at a distance of 12 cm from centre of circle of radius 13 cm is:

Which of the following is a linear equation in one variable?

What is the major difference between bisector, perpendicular,altitu aland median.

Which of these lines do not pass through the point (2, 2)?

PQ is a line parallel to side BC and passing through vertex A of a triangle ABC. If BE ∥ AC and CF ∥ AB meet PQ at E and F respectively. If the base and altitude of △ABC are 6 cm and 8 cm respectively, Find the area of △ACF. [1 MARK]

Median of the following dataset:- -5 , -15 , -10 , -2 , -4 , -2 , -17 , -1-4.5

Find the area of a rectangle whose length is 5xy units and breadth is 8xy2 units.

Find three rational numbers lying between 35 and 78 . How many rational numbers can be determined between these two numbers?

Find the area of the regular hexagon whose side length is 6 m.

How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?

The value of (1−cosA)(1+cosA)(cosec2A) is ___

In triangleABC,AB is equal to AC ,and the bisector of angle B and C intersect at point O prove that BO=CO and the ray AO is the bisector of angleBAC

What is the longest side of a right angled triangle called ?

Which of the following best describes a 90∘ angle?

If both (x+2) and (2x-1) are the factors of ax² + 5x +b, show that a- b=0

The points A=7(4,7),B(P,3)and C(7,3) are the vertices of a triangle,right angled at B.Find the value of P.

Find 2 rational and an irrational number in between 0.232332333233332... and 0.252552555255552...

If a&lt;0 and b&lt;0, then the point P (a, b) lies in which quadrant?

A and B represent two fractions. The following information is known: A &lt; 1 B &gt; 1 When A and B are multiplied, the result is a new fraction C. Choose the correct option(s):

Using the given figure, BC = ___ cm.

The intercept made by the plane →r.→n=q on the x-axis is

(164)∘+(64)−12−(−32)45 is equal to

Find three different irrational numbers between the rational numbers 5/7 &amp; 9/11. Give solution also with full method.

A path of 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is___m2.

If Chameli had ₹600 left after spending 75% of her money, how much did she have in beginning?

The slant height of a cone is 25 cm. If the circumference of the base of the cone is 44 cm, then the volume of the cone isA) 1052 cm3B) 2341.5 cm3C) 1232 cm3D) 3261 cm3

Find two irrational and two rational numbers between 2 & 3. [4 MARKS]

If a<0 and b<0, then the point P (a, b) lies in which quadrant?

A and B represent two fractions. The following information is known: A < 1 B > 1 When A and B are multiplied, the result is a new fraction C. Choose the correct option(s):

Find three different irrational numbers between the rational numbers 5/7 & 9/11. Give solution also with full method.