25365 + Interview Questions in Mathematics

1.	What are the common factors of 10pq, 20qr, 30 rp
Answer» What are the common factors of 10pq, 20qr, 30 rp

Discussion

2.	In the given figure AB \|\| CD. If ∠EGD=140∘ and ∠GHB=4x∘, then find the value of x.
Answer» In the given figure AB \|\| CD. If $∠ E G D = 140^{\circ}$ and $∠ G H B = 4 x^{\circ}$ , then find the value of x.

Discussion

3.	The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Construct a frequency table with class intervals 60 - 70 and so on. [3 MARKS]
Answer» The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Construct a frequency table with class intervals 60 - 70 and so on. [3 MARKS]

Discussion

4.	Factorise: 6p2+11p−10
Answer» Factorise: $6 p^{2} + 11 p - 10$

4.

Factorise: 6p2+11p−10

Answer»

Factorise:

$6 p^{2} + 11 p - 10$

Discussion

5.	The histogram below shows the marks obtained by students in Mathematics. In class intervals ________________ and ________________ , the number of students are equal.
Answer» The histogram below shows the marks obtained by students in Mathematics. In class intervals ________________ and ________________ , the number of students are equal.

5.

The histogram below shows the marks obtained by students in Mathematics. In class intervals and , the number of students are equal.

Answer»

The histogram below shows the marks obtained by students in Mathematics.

In class intervals ________________ and ________________ , the number of students are equal.

Discussion

6.	The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of ₹ 10 per square meter.
Answer» The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of ₹ 10 per square meter.

Discussion

7.	Aju starts from his home and walks x meters in north direction. After that he turns right and walks another x meters. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m2. What is x?
Answer» Aju starts from his home and walks x meters in north direction. After that he turns right and walks another x meters. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m². What is x?

Discussion

8.	Find the cubes of : (i) -11 (ii) -12 (iii) -21
Answer» Find the cubes of : (i) -11 (ii) -12 (iii) -21

8.

Find the cubes of : (i) -11 (ii) -12 (iii) -21

Answer»

Find the cubes of :
(i) -11 (ii) -12 (iii) -21

Discussion

9.	Squares ABPQ and ADRS are drawn on the sides AB and AD of a parallelogram ABCD. Which of the following options is correct?
Answer» Squares ABPQ and ADRS are drawn on the sides AB and AD of a parallelogram ABCD. Which of the following options is correct?

Discussion

10.	Question 89 Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is 29. If the total number of balls in the bag is 36, then find the number of yellow balls.
Answer» Question 89 Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is $\frac{2}{9} .$ If the total number of balls in the bag is 36, then find the number of yellow balls.

10.

Question 89 Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is 29. If the total number of balls in the bag is 36, then find the number of yellow balls.

Answer»

Question 89

Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is $\frac{2}{9} .$ If the total number of balls in the bag is 36, then find the number of yellow balls.

Discussion

11.	Which of the following identity can be used to factorize x2−4y2?
Answer» Which of the following identity can be used to factorize $x^{2} - 4 y^{2}$ ?

Discussion

12.	If a quadrilateral has 45 and 35 degree which quadrilateral is formed.
Answer» If a quadrilateral has 45 and 35 degree which quadrilateral is formed.

Discussion

13.	Question 63 (iii) How many faces does the following solid have? Octagonal pyramid
Answer» Question 63 (iii) How many faces does the following solid have? Octagonal pyramid

Discussion

14.	Calculate the amount on a sum of ₹2000 for one year at an interest rate of 12% per annum compounded every 2 months.
Answer» Calculate the amount on a sum of ₹2000 for one year at an interest rate of 12% per annum compounded every 2 months.

Discussion

15.	If a^3+b^3+c^3=3abc prove that a=b=c
Answer» If a^3+b^3+c^3=3abc prove that a=b=c

Discussion

16.	Which of the following is not an integer?
Answer» Which of the following is not an integer?

Discussion

17.	Find the area of the shaded portion in the following figure.
Answer» Find the area of the shaded portion in the following figure.

17.

Find the area of the shaded portion in the following figure.

Answer»

Find the area of the shaded portion in the following figure.

Discussion

18.	Which of the following figures are similar?
Answer» Which of the following figures are similar?

Discussion

19.	Find the class mark of the class interval 45 - 50.
Answer» Find the class mark of the class interval 45 - 50.

Discussion

20.	The point (0, 10) lies on?
Answer» The point (0, 10) lies on?

Discussion

21.	A parallelogram has sides of 20 cm and 24 cm. If the distance between the 24 cm sides is 15 cm, then the distance between the 20 cm sides is ____ cm
Answer» A parallelogram has sides of 20 cm and 24 cm. If the distance between the 24 cm sides is 15 cm, then the distance between the 20 cm sides is ____ cm

Discussion

22.	The quotient obtained when y6−8 is divided by y2−2 is
Answer» The quotient obtained when $y^{6} - 8$ is divided by $y^{2} - 2$ is

Discussion

23.	What are the angles of the triangle if they are in the ratio of 2 : 4 : 6?
Answer» What are the angles of the triangle if they are in the ratio of 2 : 4 : 6?

Discussion

24.	What is the smallest number by which 2592 must be multiplied so that the product is a perfect square?
Answer» What is the smallest number by which 2592 must be multiplied so that the product is a perfect square?

Discussion

25.	Tick the correct answer in each of the following :From a well-shuffled deck of 52 cards, one card is drawn at random. What is the probability that the drawn card is a queen ?(a) 14(b) 152(c) 113(d) 126
Answer» $Tick the correct answer in each of the following : From a well-shuffled deck of 52 cards, one card is drawn at random. What is the probability that the drawn card is a queen ? (a) \frac{1}{4} (b) \frac{1}{52} (c) \frac{1}{13} (d) \frac{1}{26}$

Discussion

26.	A line graph is called as:
Answer» A line graph is called as:

Discussion

27.	Question 69(iv) The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions. How many people enter the shop when it opens?
Answer» Question 69(iv) The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions. How many people enter the shop when it opens?

Discussion

28.	Make x the subject of the formula 3x + 2y = 8y – 3.
Answer» Make x the subject of the formula 3x + 2y = 8y – 3.

Discussion

29.	Expand:(5x+3)(x−1)(3x−2)
Answer» Expand: $(5 x + 3) (x - 1) (3 x - 2)$

Discussion

30.	Can a polyhedron have for its faces: (i) Three triangles? (ii) Four triangles? (iii) A square and four triangles?
Answer» Can a polyhedron have for its faces: (i) Three triangles? (ii) Four triangles? (iii) A square and four triangles?

30.

Can a polyhedron have for its faces: (i) Three triangles? (ii) Four triangles? (iii) A square and four triangles?

Answer»

Can a polyhedron have for its faces:

(i) Three triangles?

(ii) Four triangles?

(iii) A square and four triangles?

Discussion

31.	To complete a work in 27 days 52 men are required. How many men will be required to complete the same work in 36 days
Answer» To complete a work in 27 days 52 men are required. How many men will be required to complete the same work in 36 days

Discussion

32.	If two angles of two triangles are equal to each other, then the third angle will also be equal to each other. Using the above statement, choose which two congruency criteria eventually become same.
Answer» If two angles of two triangles are equal to each other, then the third angle will also be equal to each other. Using the above statement, choose which two congruency criteria eventually become same.

32.

If two angles of two triangles are equal to each other, then the third angle will also be equal to each other. Using the above statement, choose which two congruency criteria eventually become same.

Answer»

If two angles of two triangles are equal to each other, then the third angle will also be equal to each other.

Using the above statement, choose which two congruency criteria eventually become same.

Discussion

33.	2p+20% of (2p-1)=7
Answer» 2p+20% of (2p-1)=7

Discussion

34.	The area of the largest triangle with base 8cm which can be formed inside a circle of radius 5cm is ___ .
Answer» The area of the largest triangle with base 8cm which can be formed inside a circle of radius 5cm is ___ .

Discussion

35.	Spot the emphatic pronoun in the sentence. That man, the manager, is never at his desk; he himself wanders about in the office the whole day.
Answer» Spot the emphatic pronoun in the sentence. That man, the manager, is never at his desk; he himself wanders about in the office the whole day.

35.

Spot the emphatic pronoun in the sentence. That man, the manager, is never at his desk; he himself wanders about in the office the whole day.

Answer»

Spot the emphatic pronoun in the sentence.

That man, the manager, is never at his desk; he himself wanders about in the office the whole day.

Discussion

36.	Compute the following differences (124×76)−(126×74)
Answer» Compute the following differences $(124 \times 76) - (126 \times 74)$

36.

Compute the following differences (124×76)−(126×74)

Answer»

Compute the following differences

$(124 \times 76) - (126 \times 74)$

Discussion

37.	Question 4 (iv) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 825
Answer» Question 4 (iv) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 825

37.

Question 4 (iv) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 825

Answer»

Question 4 (iv)
Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

825

Discussion

38.	Question 126 Solve the following question: 8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?
Answer» Question 126 Solve the following question: 8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

38.

Question 126 Solve the following question: 8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

Answer»

Question 126

Solve the following question:

8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

Discussion

39.	Rewrite the sentence replacing the blank with a singular countable noun. I couldn’t sleep well last night as I was working on a _________.
Answer» Rewrite the sentence replacing the blank with a singular countable noun. I couldn’t sleep well last night as I was working on a _________.

39.

Rewrite the sentence replacing the blank with a singular countable noun. I couldn’t sleep well last night as I was working on a _________.

Answer»

Rewrite the sentence replacing the blank with a singular countable noun.

I couldn’t sleep well last night as I was working on a _________.

Discussion

40.	If the volume of a cube is 125 m3 then its side length is:
Answer» If the volume of a cube is 125 m³ then its side length is:

Discussion

41.	Area of the field shown in the figure given below is:
Answer» Area of the field shown in the figure given below is:

Discussion

42.	The cost of car, purchased 2 years ago, depreciates at the rate of 20% every year. If its present worth is ₹3,15,600, find its purchase price.
Answer» The cost of car, purchased 2 years ago, depreciates at the rate of $20 %$ every year. If its present worth is ₹3,15,600, find its purchase price.

Discussion

43.	Is it possible to construct a unique quadrilateral ABCD with AB = 3.6 cm, BC = 4 cm, AD= 5 cm, ∠ABC = 80∘ and ∠ BAD = 120∘?
Answer» Is it possible to construct a unique quadrilateral ABCD with AB = 3.6 cm, BC = 4 cm, AD= 5 cm, $∠$ ABC = $80^{\circ}$ and $∠$ BAD = $120^{\circ}$ ?

Discussion

44.	The roster form of the set {x:x=2r+3, where r ϵ I and −2<r≤3}.
Answer» The roster form of the set ${x : x = 2 r + 3, where r ϵ I and - 2 < r \leq 3}$ .

Discussion

45.	If the median of the following frequency distribution is 40 and total frequency is 60, then find the missing frequencies. Marks0−1010−3030−6060−8080−90Number of students5f130f22
Answer» If the median of the following frequency distribution is 40 and total frequency is 60, then find the missing frequencies. $\begin{matrix} Marks & 0 - 10 & 10 - 30 & 30 - 60 & 60 - 80 & 80 - 90 Number of students & 5 & f_{1} & 30 & f_{2} & 2 \end{matrix}$

Discussion

46.	The cost of 194 m of wire is ₹ 1712. The cost of one meter of wire is ₹ ___
Answer» The cost of $\frac{19}{4}$ m of wire is ₹ $\frac{171}{2}$ . The cost of one meter of wire is ₹ ___

Discussion

47.	Perimeter of a regular pentagon with side length 7 cm is:
Answer» Perimeter of a regular pentagon with side length 7 cm is:

47.

Perimeter of a regular pentagon with side length 7 cm is:

Answer»

Perimeter of a regular pentagon with side length 7 cm is:

Discussion

48.	SImplify 3y2(12y3−6y2+5y−1)
Answer» SImplify $3 y^{2} (12 y^{3} - 6 y^{2} + 5 y - 1)$

Discussion

49.	The median class for the given data is Height (in cm) Less than 140 Less than 145 Less than 150Less than 155Less than 160Less than 165No. of girls41129404651
Answer» The median class for the given data is $\begin{matrix} Height (in cm) & Less than 140 & Less than 145 & Less than 150 & Less than 155 & Less than 160 & Less than 165 No. of girls & 4 & 11 & 29 & 40 & 46 & 51 \end{matrix}$

49.

The median class for the given data is Height (in cm) Less than 140 Less than 145 Less than 150Less than 155Less than 160Less than 165No. of girls41129404651

Answer»

The median class for the given data is

$\begin{matrix} Height (in cm) & Less than 140 & Less than 145 & Less than 150 & Less than 155 & Less than 160 & Less than 165 No. of girls & 4 & 11 & 29 & 40 & 46 & 51 \end{matrix}$

Discussion

50.	An auctioneer charges 8% for selling a house. If the house is sold for Rs.2,30,500; Find the charges of the auctioneer.
Answer» An auctioneer charges 8% for selling a house. If the house is sold for Rs.2,30,500; Find the charges of the auctioneer.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

What are the common factors of 10pq, 20qr, 30 rp

In the given figure AB || CD. If ∠EGD=140∘ and ∠GHB=4x∘, then find the value of x.

The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Construct a frequency table with class intervals 60 - 70 and so on. [3 MARKS]

Factorise: 6p2+11p−10

The histogram below shows the marks obtained by students in Mathematics. In class intervals ________________ and ________________ , the number of students are equal.

The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of ₹ 10 per square meter.

Aju starts from his home and walks x meters in north direction. After that he turns right and walks another x meters. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m2. What is x?

Find the cubes of : (i) -11 (ii) -12 (iii) -21

Squares ABPQ and ADRS are drawn on the sides AB and AD of a parallelogram ABCD. Which of the following options is correct?

Question 89 Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is 29. If the total number of balls in the bag is 36, then find the number of yellow balls.

Which of the following identity can be used to factorize x2−4y2?

If a quadrilateral has 45 and 35 degree which quadrilateral is formed.

Question 63 (iii) How many faces does the following solid have? Octagonal pyramid

Calculate the amount on a sum of ₹2000 for one year at an interest rate of 12% per annum compounded every 2 months.

If a^3+b^3+c^3=3abc prove that a=b=c

Which of the following is not an integer?

Find the area of the shaded portion in the following figure.

Which of the following figures are similar?

Find the class mark of the class interval 45 - 50.

The point (0, 10) lies on?

A parallelogram has sides of 20 cm and 24 cm. If the distance between the 24 cm sides is 15 cm, then the distance between the 20 cm sides is ____ cm

The quotient obtained when y6−8 is divided by y2−2 is

What are the angles of the triangle if they are in the ratio of 2 : 4 : 6?

What is the smallest number by which 2592 must be multiplied so that the product is a perfect square?

Tick the correct answer in each of the following :From a well-shuffled deck of 52 cards, one card is drawn at random. What is the probability that the drawn card is a queen ?(a) 14(b) 152(c) 113(d) 126

A line graph is called as:

Question 69(iv) The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions. How many people enter the shop when it opens?

Make x the subject of the formula 3x + 2y = 8y – 3.

Expand:(5x+3)(x−1)(3x−2)

Can a polyhedron have for its faces: (i) Three triangles? (ii) Four triangles? (iii) A square and four triangles?

To complete a work in 27 days 52 men are required. How many men will be required to complete the same work in 36 days

If two angles of two triangles are equal to each other, then the third angle will also be equal to each other. Using the above statement, choose which two congruency criteria eventually become same.

2p+20% of (2p-1)=7

The area of the largest triangle with base 8cm which can be formed inside a circle of radius 5cm is ___ .

Spot the emphatic pronoun in the sentence. That man, the manager, is never at his desk; he himself wanders about in the office the whole day.

Compute the following differences (124×76)−(126×74)

Question 4 (iv) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 825

Question 126 Solve the following question: 8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

Rewrite the sentence replacing the blank with a singular countable noun. I couldn’t sleep well last night as I was working on a _________.

If the volume of a cube is 125 m3 then its side length is:

Area of the field shown in the figure given below is:

The cost of car, purchased 2 years ago, depreciates at the rate of 20% every year. If its present worth is ₹3,15,600, find its purchase price.

Is it possible to construct a unique quadrilateral ABCD with AB = 3.6 cm, BC = 4 cm, AD= 5 cm, ∠ABC = 80∘ and ∠ BAD = 120∘?

The roster form of the set {x:x=2r+3, where r ϵ I and −2&lt;r≤3}.

If the median of the following frequency distribution is 40 and total frequency is 60, then find the missing frequencies. Marks0−1010−3030−6060−8080−90Number of students5f130f22

The cost of 194 m of wire is ₹ 1712. The cost of one meter of wire is ₹ ___

Perimeter of a regular pentagon with side length 7 cm is:

SImplify 3y2(12y3−6y2+5y−1)

The median class for the given data is Height (in cm) Less than 140 Less than 145 Less than 150Less than 155Less than 160Less than 165No. of girls41129404651

An auctioneer charges 8% for selling a house. If the house is sold for Rs.2,30,500; Find the charges of the auctioneer.

The histogram below shows the marks obtained by students in Mathematics. In class intervals and , the number of students are equal.

The roster form of the set {x:x=2r+3, where r ϵ I and −2<r≤3}.