24740 + Interview Questions in Mathematics

1.	If the three sides of the triangle are 11m,15m and 6m.What is the semi perimeter of the triangle?
Answer» If the three sides of the triangle are 11m,15m and 6m.What is the semi perimeter of the triangle?

Discussion

2.	If f(x)=∣∣∣∣∣(1+x)17(1+x)19(1+x)23(1+x)23(1+x)29(1+x)34(1+x)41(1+x)43(1+x)47∣∣∣∣∣=A+Bx+Cx2......, then A = .......
Answer» If $f (x) = ∣ ∣∣∣ ∣ \begin{matrix} (1 + x)^{17} & (1 + x)^{19} & (1 + x)^{23} (1 + x)^{23} & (1 + x)^{29} & (1 + x)^{34} (1 + x)^{41} & (1 + x)^{43} & (1 + x)^{47} \end{matrix} ∣ ∣∣∣ ∣ = A + B x + C x^{2} . . . . . .,$ then A = .......

Discussion

3.	If one angle of a triangle is 120°, then find the angle between the bisectors of the other two angles.
Answer» If one angle of a triangle is 120°, then find the angle between the bisectors of the other two angles.

Discussion

4.	What is the perimeter of the square ACEF?
Answer» What is the perimeter of the square ACEF?

4.

What is the perimeter of the square ACEF?

Answer»

What is the perimeter of the square ACEF?

Discussion

5.	ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30cm. The length of each side of the parallelogram is
Answer» ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30cm. The length of each side of the parallelogram is

5.

ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30cm. The length of each side of the parallelogram is

Answer»

ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30cm. The length of each side of the parallelogram is

Discussion

6.	In ΔABC, if AB > BC then:
Answer» In ΔABC, if AB > BC then:

Discussion

7.	The value of cos1∘cos2∘cos3∘....cos179∘ is
Answer» The value of $c o s 1^{\circ} c o s 2^{\circ} c o s 3^{\circ} . . . . c o s 179^{\circ}$ is

Discussion

8.	A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay ₹ 1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹ 1180 as hostel charges. Find the fixed charges and the cost of food per day.
Answer» A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay ₹ 1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹ 1180 as hostel charges. Find the fixed charges and the cost of food per day.

Discussion

9.	Question 125 Fill in the blank to make the statement true. 1001 × 2002 = 1001 × (1001+_____ )
Answer» Question 125 Fill in the blank to make the statement true. 1001 × 2002 = 1001 × (1001+_____ )

Discussion

10.	Factorise: a2−b2+2bc−c2
Answer» Factorise: $a^{2} - b^{2} + 2 b c - c^{2}$

Discussion

11.	The area of the curved surface of a cone of radius 2r and slant height l2,is
Answer» The area of the curved surface of a cone of radius 2r and slant height $\frac{l}{2}$ ,is

Discussion

12.	In the given figure, ∠ABC = 90∘ and BM is a median, AB = 8cm and BC = 6cm. Then, choose the correct option(s).
Answer» In the given figure, $∠ A B C$ = $90^{\circ}$ and BM is a median, AB = 8cm and BC = 6cm. Then, choose the correct option(s).

12.

In the given figure, ∠ABC = 90∘ and BM is a median, AB = 8cm and BC = 6cm. Then, choose the correct option(s).

Answer»

In the given figure, $∠ A B C$ = $90^{\circ}$ and BM is a median, AB = 8cm and BC = 6cm. Then, choose the correct option(s).

Discussion

13.	Which of the following needs a proof ? (a) axiom (b) postulate (c) definition (d) theorem
Answer» Which of the following needs a proof ? (a) axiom (b) postulate (c) definition (d) theorem

13.

Which of the following needs a proof ? (a) axiom (b) postulate (c) definition (d) theorem

Answer»

Which of the following needs a proof ?

(a) axiom

(b) postulate

(c) definition

(d) theorem

Discussion

14.	Prefix naming as FEMTO has a factor of:
Answer» Prefix naming as FEMTO has a factor of:

Discussion

15.	State the product law of exponents:
Answer» State the product law of exponents:

Discussion

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

Discussion

17.	The area of the bottom of a rectangular pit is 8.75 sq metres.If it's depth is 1.8m, determine it's volume.
Answer» The area of the bottom of a rectangular pit is 8.75 sq metres.If it's depth is 1.8m, determine it's volume.

Discussion

18.	A ladder is resting on a wall of height 10 √7m such that the foot of the ladder when placed 10 √7m away from the wall, half of the ladder is extending above the wall. When the tip of the ladder is placed on the tip of the wall, how far is the foot of the ladder from the wall?
Answer» A ladder is resting on a wall of height 10 $\sqrt{7}$ m such that the foot of the ladder when placed 10 $\sqrt{7}$ m away from the wall, half of the ladder is extending above the wall. When the tip of the ladder is placed on the tip of the wall, how far is the foot of the ladder from the wall?

Discussion

19.	Choose the correct statement
Answer» Choose the correct statement

Discussion

20.	An equilateral triangle ABC is inscribed in a circle of radius 10 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to
Answer» An equilateral triangle ABC is inscribed in a circle of radius 10 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to

Discussion

21.	Arrange the fractions in descending order 26, 53, 34, 27
Answer» Arrange the fractions in descending order $\frac{2}{6}, \frac{5}{3}, \frac{3}{4}, \frac{2}{7}$

21.

Arrange the fractions in descending order 26, 53, 34, 27

Answer»

Arrange the fractions in descending order

$\frac{2}{6}, \frac{5}{3}, \frac{3}{4}, \frac{2}{7}$

Discussion

22.	A sum of money lent out at C.I. at a certain rate per annum becomes three times of itself in 8 years. Find in how many years will the money become twenty-seven times of itself at the same rate of interest p.a.
Answer» A sum of money lent out at C.I. at a certain rate per annum becomes three times of itself in 8 years. Find in how many years will the money become twenty-seven times of itself at the same rate of interest p.a.

Discussion

23.	The area of a right triangle of height 15 m and base 20 m is
Answer» The area of a right triangle of height 15 m and base 20 m is

Discussion

24.	Question 4 Write True or False and justify your answer : ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Then, ar (Δ BDE) = ar (Δ ABC).
Answer» Question 4 Write True or False and justify your answer : ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Then, ar ( $Δ$ BDE) = ar ( $Δ$ ABC).

Discussion

25.	If a polynomial cuts the x-axis at 3 points, then the number of zeroes of the polynomial would be ___
Answer» If a polynomial cuts the x-axis at 3 points, then the number of zeroes of the polynomial would be ___

Discussion

26.	If a1,a2,a3,a4 are the magnitude of the coordinates at which the circle cuts the axes as shown in the figure. Then what the sum of x and y intercepts.
Answer» If $a_{1}, a_{2}, a_{3}, a_{4}$ are the magnitude of the coordinates at which the circle cuts the axes as shown in the figure. Then what the sum of x and y intercepts.

26.

If a1,a2,a3,a4 are the magnitude of the coordinates at which the circle cuts the axes as shown in the figure. Then what the sum of x and y intercepts.

Answer»

If $a_{1}, a_{2}, a_{3}, a_{4}$ are the magnitude of the coordinates at which the circle cuts the axes as shown in the figure. Then what the sum of x and y intercepts.

Discussion

27.	Coordinates of the origin are (a, b). Then, the value of ab is ___.
Answer» Coordinates of the origin are (a, b). Then, the value of ab is ___.

Discussion

28.	cos θ/(1 - tan θ) + sin θ/(1 - cot θ) = sin θ + cos θ
Answer» cos θ/(1 - tan θ) + sin θ/(1 - cot θ) = sin θ + cos θ

Discussion

29.	a3 - b3 equals
Answer» a³ - b³ equals

Discussion

30.	Which one of the following is true about the prime factors of the denominator of the decimal expansion: 278.1782?
Answer» Which one of the following is true about the prime factors of the denominator of the decimal expansion: 278.1782?

Discussion

31.	For a polynomial p(x), x-2 is a factor, so p(2) is _______
Answer» For a polynomial p(x), x-2 is a factor, so p(2) is _______

Discussion

32.	Find the product of 5m2n, −3mnp and −5n2p.
Answer» Find the product of $5 m^{2} n, - 3 m n p$ and $- 5 n^{2} p$ .

Discussion

33.	Question 6 (i) A bag contains lemon flavoured candles only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavoured candy?
Answer» Question 6 (i) A bag contains lemon flavoured candles only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavoured candy?

Discussion

34.	Question 23 Factorise (i) x2+9x+18 (ii) 6x2+7x−3 (iii) 2x2−7x−15 (iv) 84−2r−2r2
Answer» Question 23 Factorise (i) $x^{2} + 9 x + 18$ (ii) $6 x^{2} + 7 x - 3$ (iii) $2 x^{2} - 7 x - 15$ (iv) $84 - 2 r - 2 r^{2}$

Discussion

35.	Water is stored up to the brim in a right circular cylinder of volume 100 cm3. How many bottles of 10cm3 will be required to empty the cylinder?
Answer» Water is stored up to the brim in a right circular cylinder of volume $100 c m^{3}$ . How many bottles of $10 c m^{3}$ will be required to empty the cylinder?

Discussion

36.	A coin was tossed 300 times and the result obtained was 200 heads and 100 tails. What is the probability of getting a head if the coin is tossed one more time.
Answer» A coin was tossed 300 times and the result obtained was 200 heads and 100 tails. What is the probability of getting a head if the coin is tossed one more time.

Discussion

37.	Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.
Answer» Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

Discussion

38.	Can we draw a quadrilateral ABCD with the following data? AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm
Answer» Can we draw a quadrilateral ABCD with the following data? AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm

38.

Can we draw a quadrilateral ABCD with the following data? AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm

Answer»

Can we draw a quadrilateral ABCD with the following data?

AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm

Discussion

39.	If, x=(−45)30÷ (−45)28 and y=(−45)2×(−45)3, find the value of (x3÷y)2
Answer» If, $x = {(\frac{- 4}{5})}^{30} \div {(\frac{- 4}{5})}^{28}$ and $y = {(\frac{- 4}{5})}^{2} \times {(\frac{- 4}{5})}^{3}$ , find the value of $(x^{3} \div y)^{2}$

Discussion

40.	A chord of length 30 cm is drawn at a distance of 8 cm from the centre of a circle. Find out the radius of the circle.
Answer» A chord of length 30 cm is drawn at a distance of 8 cm from the centre of a circle. Find out the radius of the circle.

Discussion

41.	Prove the following: (xaxb)a2+ab+b2×(xbxc)b2+bc+c2×(xcxa)c2+ca+a2=1
Answer» Prove the following: ${(\frac{x^{a}}{x^{b}})}^{a^{2} + a b + b^{2}} \times {(\frac{x^{b}}{x_{c}})}^{b^{2} + b c + c^{2}} \times {(\frac{x^{c}}{x^{a}})}^{c^{2} + c a + a^{2}} = 1$

Discussion

42.	All the angles of a quadrilateral can be acute. Is this statement true? Give reasons for your answer.
Answer» All the angles of a quadrilateral can be acute. Is this statement true? Give reasons for your answer.

Discussion

43.	If the Mean of 5 , 7 , x + 3 , 11 , and 13 is 9, what is the value of x
Answer» If the Mean of 5 , 7 , x + 3 , 11 , and 13 is 9, what is the value of x

Discussion

44.	Write the degree of each of the following polynomials: (i) 5x3+4x2+7x (ii) 3
Answer» Write the degree of each of the following polynomials: (i) 5 $x^{3}$ +4 $x^{2}$ +7x (ii) 3

Discussion

45.	Prove that, If l, m, n are lines in the same plane such that l intersects m and n ∥ m, then l intersects n also.
Answer» Prove that, If l, m, n are lines in the same plane such that l intersects m and n $∥$ m, then l intersects n also.

Discussion

46.	Once Tom answered in and drove off to reach his destination – a building calledTheArchitecture.This building closely resembles a Rubik’s Cube, in the sense that the “rooms” of The Architecture are like the “cubes” of the Rubik’s Cube, as shown: This building has 3 floors and each floor has 3 × 3 [read 3 by 3 – which means there are 3 rows and 3 columns] rooms which are all identical in size and shape.Tom stopped the car in front of the building.To enter this architecture, he should enter a passcode which is equal to the total number of rooms [cubes] in the building. What is the passcode that Tom has to enter? ______ [Enter a numerical value] ___
Answer» Once Tom answered in and drove off to reach his destination – a building calledTheArchitecture.This building closely resembles a Rubik’s Cube, in the sense that the “rooms” of The Architecture are like the “cubes” of the Rubik’s Cube, as shown: This building has 3 floors and each floor has 3 $\times$ 3 [read 3 by 3 – which means there are 3 rows and 3 columns] rooms which are all identical in size and shape.Tom stopped the car in front of the building.To enter this architecture, he should enter a passcode which is equal to the total number of rooms [cubes] in the building. What is the passcode that Tom has to enter? ______ [Enter a numerical value] ___

46.

Once Tom answered in and drove off to reach his destination – a building calledTheArchitecture.This building closely resembles a Rubik’s Cube, in the sense that the “rooms” of The Architecture are like the “cubes” of the Rubik’s Cube, as shown: This building has 3 floors and each floor has 3 × 3 [read 3 by 3 – which means there are 3 rows and 3 columns] rooms which are all identical in size and shape.Tom stopped the car in front of the building.To enter this architecture, he should enter a passcode which is equal to the total number of rooms [cubes] in the building. What is the passcode that Tom has to enter? ____ [Enter a numerical value] _

Answer»

Once Tom answered in and drove off to reach his destination – a building calledTheArchitecture.This building closely resembles a Rubik’s Cube, in the sense that the “rooms” of The Architecture are like the “cubes” of the Rubik’s Cube, as shown:

This building has 3 floors and each floor has 3 $\times$ 3 [read 3 by 3 – which means there are 3 rows and 3 columns] rooms which are all identical in size and shape.Tom stopped the car in front of the building.To enter this architecture, he should enter a passcode which is equal to the total number of rooms [cubes] in the building.

What is the passcode that Tom has to enter? ______ [Enter a numerical value]

___

Discussion

47.	50 - (- 40) - (- 2) = ?
Answer» 50 - (- 40) - (- 2) = ?

Discussion

48.	Every point on the no line is of the form under √a where a is a natural no. Is this statement true or false. How? Justify
Answer» Every point on the no line is of the form under $\sqrt{a}$ where a is a natural no. Is this statement true or false. How? Justify

Discussion

49.	In case of division algorithm of polynomials, we compare the degree . why?
Answer» In case of division algorithm of polynomials, we compare the degree . why?

Discussion

50.	Factorise - x^2+1/4x-1/8
Answer» Factorise - x^2+1/4x-1/8

50.

Factorise - x^2+1/4x-1/8

Answer»

Factorise -

x^2+1/4x-1/8

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If the three sides of the triangle are 11m,15m and 6m.What is the semi perimeter of the triangle?

If f(x)=∣∣∣∣∣(1+x)17(1+x)19(1+x)23(1+x)23(1+x)29(1+x)34(1+x)41(1+x)43(1+x)47∣∣∣∣∣=A+Bx+Cx2......, then A = .......

If one angle of a triangle is 120°, then find the angle between the bisectors of the other two angles.

What is the perimeter of the square ACEF?

ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30cm. The length of each side of the parallelogram is

In ΔABC, if AB &gt; BC then:

The value of cos1∘cos2∘cos3∘....cos179∘ is

Question 125 Fill in the blank to make the statement true. 1001 × 2002 = 1001 × (1001+_____ )

Factorise: a2−b2+2bc−c2

The area of the curved surface of a cone of radius 2r and slant height l2,is

In the given figure, ∠ABC = 90∘ and BM is a median, AB = 8cm and BC = 6cm. Then, choose the correct option(s).

Which of the following needs a proof ? (a) axiom (b) postulate (c) definition (d) theorem

Prefix naming as FEMTO has a factor of:

State the product law of exponents:

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

The area of the bottom of a rectangular pit is 8.75 sq metres.If it's depth is 1.8m, determine it's volume.

A ladder is resting on a wall of height 10 √7m such that the foot of the ladder when placed 10 √7m away from the wall, half of the ladder is extending above the wall. When the tip of the ladder is placed on the tip of the wall, how far is the foot of the ladder from the wall?

Choose the correct statement

An equilateral triangle ABC is inscribed in a circle of radius 10 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to

Arrange the fractions in descending order 26, 53, 34, 27

A sum of money lent out at C.I. at a certain rate per annum becomes three times of itself in 8 years. Find in how many years will the money become twenty-seven times of itself at the same rate of interest p.a.

The area of a right triangle of height 15 m and base 20 m is

Question 4 Write True or False and justify your answer : ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Then, ar (Δ BDE) = ar (Δ ABC).

If a polynomial cuts the x-axis at 3 points, then the number of zeroes of the polynomial would be ___

If a1,a2,a3,a4 are the magnitude of the coordinates at which the circle cuts the axes as shown in the figure. Then what the sum of x and y intercepts.

Coordinates of the origin are (a, b). Then, the value of ab is ___.

cos θ/(1 - tan θ) + sin θ/(1 - cot θ) = sin θ + cos θ

a3 - b3 equals

Which one of the following is true about the prime factors of the denominator of the decimal expansion: 278.1782?

For a polynomial p(x), x-2 is a factor, so p(2) is _______

Find the product of 5m2n, −3mnp and −5n2p.

Question 6 (i) A bag contains lemon flavoured candles only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavoured candy?

Question 23 Factorise (i) x2+9x+18 (ii) 6x2+7x−3 (iii) 2x2−7x−15 (iv) 84−2r−2r2

Water is stored up to the brim in a right circular cylinder of volume 100 cm3. How many bottles of 10cm3 will be required to empty the cylinder?

A coin was tossed 300 times and the result obtained was 200 heads and 100 tails. What is the probability of getting a head if the coin is tossed one more time.

Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

Can we draw a quadrilateral ABCD with the following data? AB = 3cm, BC = 5cm, AD = 4cm, CD = 7cm and BD = 8cm

If, x=(−45)30÷ (−45)28 and y=(−45)2×(−45)3, find the value of (x3÷y)2

A chord of length 30 cm is drawn at a distance of 8 cm from the centre of a circle. Find out the radius of the circle.

Prove the following: (xaxb)a2+ab+b2×(xbxc)b2+bc+c2×(xcxa)c2+ca+a2=1

All the angles of a quadrilateral can be acute. Is this statement true? Give reasons for your answer.

If the Mean of 5 , 7 , x + 3 , 11 , and 13 is 9, what is the value of x

Write the degree of each of the following polynomials: (i) 5x3+4x2+7x (ii) 3

Prove that, If l, m, n are lines in the same plane such that l intersects m and n ∥ m, then l intersects n also.

50 - (- 40) - (- 2) = ?

Every point on the no line is of the form under √a where a is a natural no. Is this statement true or false. How? Justify

In case of division algorithm of polynomials, we compare the degree . why?

Factorise - x^2+1/4x-1/8

In ΔABC, if AB > BC then: