25365 + Interview Questions in Mathematics

1.	Find and correct the errors in the statement: (2a + 3b) (a − b) = 2a2 − 3b2
Answer» Find and correct the errors in the statement: (2a + 3b) (a − b) = 2a² − 3b²

Discussion

2.	A _________is a quadrilateral with only one pair of opposite sides parallel.
Answer» A _________is a quadrilateral with only one pair of opposite sides parallel.

Discussion

3.	Simplify: (aman)m+n.(anal)n+l.(alam)l+m
Answer» Simplify: ${(\frac{a^{m}}{a^{n}})}^{m + n} . {(\frac{a^{n}}{a^{l}})}^{n + l} . {(\frac{a^{l}}{a^{m}})}^{l + m}$

Discussion

4.	∫_a^bsgn(x)dx , (a,b∈ R)=?
Answer» ∫_a^bsgn(x)dx , (a,b∈ R)=?

Discussion

5.	Factorize 2a^5-54a^2 using suitable identity
Answer» Factorize 2a^5-54a^2 using suitable identity

Discussion

6.	What would be the value of 6×526?
Answer» What would be the value of $6 \times 526$ ?

Discussion

7.	Prove the following by using the principle of mathematical induction for all n∈N1⋅2⋅3+2⋅3⋅4+⋯+n(n+1)(n+2)=n(n+1)(n+2)(n+3)4
Answer» Prove the following by using the principle of mathematical induction for all $n \in N$ $1 \cdot 2 \cdot 3 + 2 \cdot 3 \cdot 4 + \dots + n (n + 1) (n + 2)$ $= \frac{n (n + 1) (n + 2) (n + 3)}{4}$

Discussion

8.	In triangle ABC, ∠A − ∠B = 15° and ∠B − ∠C = 30°, find ∠A, ∠B and ∠C.
Answer» In triangle ABC, ∠A − ∠B = 15° and ∠B − ∠C = 30°, find ∠A, ∠B and ∠C.

Discussion

9.	Which of the following nets will make a cube?
Answer» Which of the following nets will make a cube?

Discussion

10.	What can you tell about the nature of these lines?
Answer» What can you tell about the nature of these lines?

Discussion

11.	The lengths of three unequal edges of a rectangular solid block are in G.P. The volume of the block is 216 cubic units and the total surface area is 312 square units. Find the length of the longest edge, if the common ratio is not a fraction.
Answer» The lengths of three unequal edges of a rectangular solid block are in G.P. The volume of the block is 216 cubic units and the total surface area is 312 square units. Find the length of the longest edge, if the common ratio is not a fraction.

Discussion

12.	in the lecnture we were told that in an equilateral triangle if bodies atrre kept at corners and then released they will meet at the centroid . what if the triangle is scalene
Answer» in the lecnture we were told that in an equilateral triangle if bodies atrre kept at corners and then released they will meet at the centroid . what if the triangle is scalene

Discussion

13.	Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m3, find the number of hours it will take to fill the reservoir.[2 marks]
Answer» Water is pouring into a cuboidal reservoir at the rate of $60$ litres per minute. If the volume of reservoir is $108 m^{3}$ , find the number of hours it will take to fill the reservoir. [2 marks]

Discussion

14.	Question 38In the given question, state whether the given statement is True or False.Number of the form 3N + 2 will leave remainder 2 when divided by 3.
Answer» Question 38 In the given question, state whether the given statement is True or False. Number of the form 3N + 2 will leave remainder 2 when divided by 3.

Discussion

15.	An unbiased die is thrown. The probability that the number which comes up is even, is _________.
Answer» An unbiased die is thrown. The probability that the number which comes up is even, is _________.

Discussion

16.	How to find square root of 4.2025
Answer» How to find square root of 4.2025

Discussion

17.	Akash has 6xy+4xy2 chocolates. He wants to distribute them to 2x children. How many chocolates does each child get if y = 2? ___
Answer» Akash has $6 x y + 4 x y^{2}$ chocolates. He wants to distribute them to 2x children. How many chocolates does each child get if y = 2? ___

Discussion

18.	Number of persons in various age groups in a town is given in the following table.(a) Draw a bar graph to represent the above information and answer the following questions(b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town ?
Answer» Number of persons in various age groups in a town is given in the following table. (a) Draw a bar graph to represent the above information and answer the following questions (b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town ?

Discussion

19.	Question 14In the given question, out of four options, only one is correct. Write the correct answer.If A3 + 8B = 150, then the value of A + B is(a) 13(b) 12(c) 17(d) 15
Answer» Question 14 In the given question, out of four options, only one is correct. Write the correct answer. If A3 + 8B = 150, then the value of A + B is (a) 13 (b) 12 (c) 17 (d) 15

Discussion

20.	ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB an parallel to BC intersects AC at D. Show that MD ⊥ AC [4 MARKS]
Answer» ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB an parallel to BC intersects AC at D. Show that MD $⊥$ AC [4 MARKS]

Discussion

21.	The number 152875 is divisible by
Answer» The number 152875 is divisible by

Discussion

22.	Question 12 (i)In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the(i) quadrant OACB
Answer» Question 12 (i) In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the (i) quadrant OACB

22.

Question 12 (i)In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the(i) quadrant OACB

Answer»

Question 12 (i)

In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the

(i) quadrant OACB

Discussion

23.	Question 2(iv) Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube: 675
Answer» Question 2(iv) Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube: 675

Discussion

24.	Question 113Identify which symbol should appear in each sector of questions ?
Answer» Question 113 Identify which symbol should appear in each sector of questions ?

24.

Question 113Identify which symbol should appear in each sector of questions ?

Answer»

Question 113

Identify which symbol should appear in each sector of questions ?

Discussion

25.	Which among the following is not a factor of 4y(y + 3)?
Answer» Which among the following is not a factor of 4y(y + 3)?

Discussion

26.	The formula given by Heron for area of a triangle is
Answer» The formula given by Heron for area of a triangle is

Discussion

27.	Question 3(i)Factorise the expressionsax2+bx
Answer» Question 3(i) Factorise the expressions $a x^{2} + b x$

Discussion

28.	(i) What will be in the unit place of a number if the square of a number ends in 6?(ii) Which number must be added to 1886 to make it a perfect square?
Answer» (i) What will be in the unit place of a number if the square of a number ends in 6? (ii) Which number must be added to 1886 to make it a perfect square?

Discussion

29.	The perimeter of a regular polygon of n side is given by:
Answer» The perimeter of a regular polygon of n side is given by:

29.

The perimeter of a regular polygon of n side is given by:

Answer»

The perimeter of a regular polygon of n side is given by:

Discussion

30.	If ₹ 15,000 is invested for 112 years at 12% per annum compounded half yearly, find the amount received after 112 years.
Answer» If ₹ 15,000 is invested for $1 \frac{1}{2}$ years at 12% per annum compounded half yearly, find the amount received after 1 $\frac{1}{2}$ years.

Discussion

31.	Which of the following is a two dimensional figure?
Answer» Which of the following is a two dimensional figure?

Discussion

32.	The bar graph below gives the calories consumed by three friends A, B and C after eating chocolate. How many calories does B consume?
Answer» The bar graph below gives the calories consumed by three friends A, B and C after eating chocolate. How many calories does B consume?

32.

The bar graph below gives the calories consumed by three friends A, B and C after eating chocolate. How many calories does B consume?

Answer»

The bar graph below gives the calories consumed by three friends A, B and C after eating chocolate. How many calories does B consume?

Discussion

33.	Question 59 In the following question, state whether the statement is True (T) or False (F): (a+b)2=a2+b2
Answer» Question 59 In the following question, state whether the statement is True (T) or False (F): $(a + b)^{2} = a^{2} + b^{2}$

33.

Question 59 In the following question, state whether the statement is True (T) or False (F): (a+b)2=a2+b2

Answer»

Question 59

In the following question, state whether the statement is True (T) or False (F):

$(a + b)^{2} = a^{2} + b^{2}$

Discussion

34.	Annual salary at 'r' rupees per month along with a festival bonus of Rs. 2000 is ___ .
Answer» Annual salary at 'r' rupees per month along with a festival bonus of Rs. 2000 is ___ .

Discussion

35.	Factorize completely : x2−16y2−2x−8y
Answer» Factorize completely : $x^{2} - 16 y^{2} - 2 x - 8 y$

35.

Factorize completely : x2−16y2−2x−8y

Answer»

Factorize completely :

$x^{2} - 16 y^{2} - 2 x - 8 y$

Discussion

36.	If x+1/x=1 then find the value of x^3
Answer» If x+1/x=1 then find the value of x^3

Discussion

37.	Divide (x2−2x−35) by (x−7)
Answer» $Divide (x^{2} - 2 x - 35) by (x - 7)$

Discussion

38.	Bhavya earns ₹ 50000 per month and spends 80% of it. Due to pay revision, her monthly income increases by 20% but due to price rise, she has to spend 20% more. Find her new savings.
Answer» Bhavya earns ₹ 50000 per month and spends 80% of it. Due to pay revision, her monthly income increases by 20% but due to price rise, she has to spend 20% more. Find her new savings.

Discussion

39.	Jordan ordered a spherical vessel whose capacity is known to be 1848 cm3. What would be the radius of this spherical vessel?NOTE: Take the value of π=227.
Answer» Jordan ordered a spherical vessel whose capacity is known to be $1848 {cm}^{3}$ . What would be the radius of this spherical vessel? NOTE: Take the value of $π = \frac{22}{7}$ .

Discussion

40.	Write your own number pattern such every next number is 100 more than the previous number in the given image.
Answer» Write your own number pattern such every next number is 100 more than the previous number in the given image.

Discussion

41.	Question 88: Write the number of seconds in scientific notation. S.N. UnitsValue in seconds 1. 1 minute 60 2. 1 hour 3,600 3. 1 day 86,400 4. 1 month 2,600,000 5. 1 year 32,000,000 6. 10 year 3,20,000,000
Answer» Question 88: Write the number of seconds in scientific notation. $\begin{matrix} S . N . & U n i t s & V a l u e i n s e c o n d s 1. & 1 m i n u t e & 60 2. & 1 h o u r & 3, 600 3. & 1 d a y & 86, 400 4. & 1 m o n t h & 2, 600, 000 5. & 1 y e a r & 32, 000, 000 6. & 10 y e a r & 3, 20, 000, 000 \end{matrix}$

Discussion

42.	Question 11In the given question, out of four options, only one is correct. Write the correct answer.If the sum of digits of a number is divisible by three, then the number is always divisible by(a) 2(b) 3(c) 6(d) 9
Answer» Question 11 In the given question, out of four options, only one is correct. Write the correct answer. If the sum of digits of a number is divisible by three, then the number is always divisible by (a) 2 (b) 3 (c) 6 (d) 9

Discussion

43.	If the height of a cylinder is doubled and it's radius is halved then volume will be?
Answer» If the height of a cylinder is doubled and it's radius is halved then volume will be?

Discussion

44.	Choose the correct expression(s).
Answer» Choose the correct expression(s).

Discussion

45.	The three angles of a triangles are in the ratio 1 : 3 : 5. How much is each angle?
Answer» The three angles of a triangles are in the ratio 1 : 3 : 5. How much is each angle?

Discussion

46.	On a certain sum of money the difference between the C.I. for a year, payable half yearly and the S. I. For a year is Rs 180. Find the sum lent out if the rate interest in both the cases is 10%.
Answer» On a certain sum of money the difference between the C.I. for a year, payable half yearly and the S. I. For a year is Rs 180. Find the sum lent out if the rate interest in both the cases is 10%.

Discussion

47.	1 m s−1 =
Answer» $1 m s^{- 1}$ =

47.

1 m s−1 =

Answer»

$1 m s^{- 1}$ =

Discussion

48.	Question 3(iv)Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube:192
Answer» Question 3(iv) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 192

Discussion

49.	Question 94Look at the map given below. Answer the following questions.(a) Which two hospitals are opposite to each other?(b) A person residing at Niti Bagh has to go to Chirag Delhi after dropping her daughter at Asiad Tower. Mention the important landmarks he will pass along with the roads taken.(c) Name of which road is similar to the name of some month.
Answer» Question 94 Look at the map given below. Answer the following questions. (a) Which two hospitals are opposite to each other? (b) A person residing at Niti Bagh has to go to Chirag Delhi after dropping her daughter at Asiad Tower. Mention the important landmarks he will pass along with the roads taken. (c) Name of which road is similar to the name of some month.

Discussion

50.	Find the value of x in each figure.
Answer» Find the value of $x$ in each figure.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find and correct the errors in the statement: (2a + 3b) (a − b) = 2a2 − 3b2

A _________is a quadrilateral with only one pair of opposite sides parallel.

Simplify: (aman)m+n.(anal)n+l.(alam)l+m

∫_a^bsgn(x)dx , (a,b∈ R)=?

Factorize 2a^5-54a^2 using suitable identity

What would be the value of 6×526?

Prove the following by using the principle of mathematical induction for all n∈N1⋅2⋅3+2⋅3⋅4+⋯+n(n+1)(n+2)=n(n+1)(n+2)(n+3)4

In triangle ABC, ∠A − ∠B = 15° and ∠B − ∠C = 30°, find ∠A, ∠B and ∠C.

Which of the following nets will make a cube?

What can you tell about the nature of these lines?

The lengths of three unequal edges of a rectangular solid block are in G.P. The volume of the block is 216 cubic units and the total surface area is 312 square units. Find the length of the longest edge, if the common ratio is not a fraction.

in the lecnture we were told that in an equilateral triangle if bodies atrre kept at corners and then released they will meet at the centroid . what if the triangle is scalene

Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m3, find the number of hours it will take to fill the reservoir.[2 marks]

Question 38In the given question, state whether the given statement is True or False.Number of the form 3N + 2 will leave remainder 2 when divided by 3.

An unbiased die is thrown. The probability that the number which comes up is even, is _________.

How to find square root of 4.2025

Akash has 6xy+4xy2 chocolates. He wants to distribute them to 2x children. How many chocolates does each child get if y = 2? ___

Number of persons in various age groups in a town is given in the following table.(a) Draw a bar graph to represent the above information and answer the following questions(b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town ?

Question 14In the given question, out of four options, only one is correct. Write the correct answer.If A3 + 8B = 150, then the value of A + B is(a) 13(b) 12(c) 17(d) 15

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB an parallel to BC intersects AC at D. Show that MD ⊥ AC [4 MARKS]

The number 152875 is divisible by

Question 12 (i)In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the(i) quadrant OACB

Question 2(iv) Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube: 675

Question 113Identify which symbol should appear in each sector of questions ?

Which among the following is not a factor of 4y(y + 3)?

The formula given by Heron for area of a triangle is

Question 3(i)Factorise the expressionsax2+bx

(i) What will be in the unit place of a number if the square of a number ends in 6?(ii) Which number must be added to 1886 to make it a perfect square?

The perimeter of a regular polygon of n side is given by:

If ₹ 15,000 is invested for 112 years at 12% per annum compounded half yearly, find the amount received after 112 years.

Which of the following is a two dimensional figure?

The bar graph below gives the calories consumed by three friends A, B and C after eating chocolate. How many calories does B consume?

Question 59 In the following question, state whether the statement is True (T) or False (F): (a+b)2=a2+b2

Annual salary at 'r' rupees per month along with a festival bonus of Rs. 2000 is ___ .

Factorize completely : x2−16y2−2x−8y

If x+1/x=1 then find the value of x^3

Divide (x2−2x−35) by (x−7)

Bhavya earns ₹ 50000 per month and spends 80% of it. Due to pay revision, her monthly income increases by 20% but due to price rise, she has to spend 20% more. Find her new savings.

Jordan ordered a spherical vessel whose capacity is known to be 1848 cm3. What would be the radius of this spherical vessel?NOTE: Take the value of π=227.

Write your own number pattern such every next number is 100 more than the previous number in the given image.

Question 88: Write the number of seconds in scientific notation. S.N. UnitsValue in seconds 1. 1 minute 60 2. 1 hour 3,600 3. 1 day 86,400 4. 1 month 2,600,000 5. 1 year 32,000,000 6. 10 year 3,20,000,000

Question 11In the given question, out of four options, only one is correct. Write the correct answer.If the sum of digits of a number is divisible by three, then the number is always divisible by(a) 2(b) 3(c) 6(d) 9

If the height of a cylinder is doubled and it's radius is halved then volume will be?

Choose the correct expression(s).

The three angles of a triangles are in the ratio 1 : 3 : 5. How much is each angle?

On a certain sum of money the difference between the C.I. for a year, payable half yearly and the S. I. For a year is Rs 180. Find the sum lent out if the rate interest in both the cases is 10%.

1 m s−1 =

Question 3(iv)Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube:192

Find the value of x in each figure.