25365 + Interview Questions in Mathematics

1.	what would be the answer of ...... name any two rational numbers between -2 and -1
Answer» what would be the answer of ...... name any two rational numbers between -2 and -1

Discussion

2.	69. Draw a square whose sides are represented by x=4,x=-4,y=4,y=-4 and find its area
Answer» 69. Draw a square whose sides are represented by x=4,x=-4,y=4,y=-4 and find its area

Discussion

3.	Given that x=6−4√2 and y is conjugate of x, the value of √4xy is .
Answer» Given that $x = 6 - 4 \sqrt{2}$ and $y$ is conjugate of $x,$ the value of $\sqrt{4 x y}$ is .

Discussion

4.	The number of candies bought by different students is visually represented as follows:Find the mode of this data set.
Answer» The number of candies bought by different students is visually represented as follows: Find the mode of this data set.

Discussion

5.	Find (0.4p−0.5q)2 [3 MARKS]
Answer» Find $(0.4 p - 0.5 q)^{2}$ [3 MARKS]

Discussion

6.	In the given frequency distribution, which is/are the median term(s)?Age in yearsNumber of people15316817101810195204
Answer» In the given frequency distribution, which is/are the median term(s)? $\begin{matrix} A g e i n y e a r s & N u m b e r o f p e o p l e 15 & 3 16 & 8 17 & 10 18 & 10 19 & 5 20 & 4 \end{matrix}$

Discussion

7.	A source generates four independent symbols with probabilities 0.50, 0.25, 0.15. 0.10 at a rate of 20000 symbols per second. The symbols are encoded into binary format using Huffman coding scheme. The average bit rate at the output of the source encoder will be____ kbps.35
Answer» A source generates four independent symbols with probabilities 0.50, 0.25, 0.15. 0.10 at a rate of 20000 symbols per second. The symbols are encoded into binary format using Huffman coding scheme. The average bit rate at the output of the source encoder will be____ kbps. 35

Discussion

8.	Test the divisibility of each of the following numbers by 10:(i) 205(ii) 90(iii) 1174(iv) 57930(v) 60005
Answer» Test the divisibility of each of the following numbers by 10: (i) 205 (ii) 90 (iii) 1174 (iv) 57930 (v) 60005

Discussion

9.	67. How construct 75 degree angle?
Answer» 67. How construct 75 degree angle?

Discussion

10.	Divide (−25x4y) by 5x2.
Answer» $Divide (- 25 x^{4} y) b y 5 x^{2} .$

Discussion

11.	2. Even if the force on the rocket remains the same its acceleration increases how?
Answer» 2. Even if the force on the rocket remains the same its acceleration increases how?

Discussion

12.	(x^3)^2+18y^3x^3+(9y^3)^2=(x^3)^2+(9y^3)^2How?
Answer» (x^3)^2+18y^3x^3+(9y^3)^2=(x^3)^2+(9y^3)^2 How?

Discussion

13.	32. Prove that the diagonal elements of the skew symmetric matrix are all zero
Answer» 32. Prove that the diagonal elements of the skew symmetric matrix are all zero

Discussion

14.	Mettez le dialogue en ordre. Bien sûr. Je viens à l'hôpital. Pourquoi? J'espère que tout va bien. Ah! Comment ça va? Tu as besoin de mon aide? Allô! Qui est à l'appareil? Pas beaucoup! Mon mari a eu un accident avant-hier. Il est encore à l'hôpital. Oui, je veux de l'argent. Allô! C'est moi, Nargis. Ça va mal.
Answer» Mettez le dialogue en ordre. Bien sûr. Je viens à l'hôpital. Pourquoi? J'espère que tout va bien. Ah! Comment ça va? Tu as besoin de mon aide? Allô! Qui est à l'appareil? Pas beaucoup! Mon mari a eu un accident avant-hier. Il est encore à l'hôpital. Oui, je veux de l'argent. Allô! C'est moi, Nargis. Ça va mal.

Discussion

15.	Écrivez l'heure selon le modèle.
Answer» Écrivez l'heure selon le modèle.

Discussion

16.	Find the multiplicative inverse of 47.
Answer» Find the multiplicative inverse of $\frac{4}{7}$ .

Discussion

17.	Consider the two statements: Statement 1: If two line segments have the same length, then they are congruent. Statement 2: If two line segments are congruent, then they have the same length.
Answer» Consider the two statements: Statement 1: If two line segments have the same length, then they are congruent. Statement 2: If two line segments are congruent, then they have the same length.

17.

Consider the two statements: Statement 1: If two line segments have the same length, then they are congruent. Statement 2: If two line segments are congruent, then they have the same length.

Answer»

Consider the two statements:

Statement 1: If two line segments have the same length, then they are congruent.
Statement 2: If two line segments are congruent, then they have the same length.

Discussion

18.	Construct an equilateral triangle of height 6 cm. Measure approximate length of the its side.
Answer» Construct an equilateral triangle of height 6 cm. Measure approximate length of the its side.

Discussion

19.	Two adjacent angles of a parellelogram are equal. What is the measure of each of these angles ?
Answer» Two adjacent angles of a parellelogram are equal. What is the measure of each of these angles ?

Discussion

20.	Paras has a certain average for 12 tests. In the 13th test, he scores 80 marks, thereby increasing his average by 6 marks. What is his new average?
Answer» Paras has a certain average for $12$ tests. In the $13^{th}$ test, he scores $80$ marks, thereby increasing his average by $6$ marks. What is his new average?

Discussion

21.	Question 95(i)The weights (in kg) of 30 students of a class are as follows :39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26Prepare a frequency distribution table using one class interval as (30-35), 35 not included.(i) Which class has the least frequency ?
Answer» Question 95(i) The weights (in kg) of 30 students of a class are as follows : 39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26 Prepare a frequency distribution table using one class interval as (30-35), 35 not included. (i) Which class has the least frequency ?

21.

Question 95(i)The weights (in kg) of 30 students of a class are as follows :39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26Prepare a frequency distribution table using one class interval as (30-35), 35 not included.(i) Which class has the least frequency ?

Answer»

Question 95(i)

The weights (in kg) of 30 students of a class are as follows :

39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,

31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26

Prepare a frequency distribution table using one class interval as (30-35), 35 not included.

(i) Which class has the least frequency ?

Discussion

22.	If x=12, then the value of x+11+11+1x is equal to
Answer» If $x = \frac{1}{2}$ , then the value of $x + \frac{1}{1 + \frac{1}{1 + \frac{1}{x}}}$ is equal to

Discussion

23.	If a square has a side of length 4 cm, what is the length of the diagonal?
Answer» If a square has a side of length $4 c m$ , what is the length of the diagonal?

Discussion

24.	Add: 3+2y−5y2+6y3, −8+3y+7y3 and 5−6y−8y3+y2
Answer» Add: $3 + 2 y - 5 y^{2} + 6 y^{3}, - 8 + 3 y + 7 y^{3}$ and $5 - 6 y - 8 y^{3} + y^{2}$

Discussion

25.	Question 4(v)Factorisea4−2a2b2+b4
Answer» Question 4(v) Factorise $a^{4} - 2 a^{2} b^{2} + b^{4}$

Discussion

26.	Fifteen more than 3 times Neetu's age is the same as 4 times her age. How old is she ?
Answer» Fifteen more than 3 times Neetu's age is the same as 4 times her age. How old is she ?

Discussion

27.	Let A={n∈N:n is a 3-digit number}B={9k+2:k∈N} and C={9k+l:k∈N} for some l (0<l<9)If the sum of all the elements of the set A∩(B∪C) is 274×400, then l is equal to
Answer» Let $A = {n \in N : n$ is a $3$ -digit number $}$ $B = {9 k + 2 : k \in N}$ and $C = {9 k + l : k \in N}$ for some $l (0 < l < 9)$ If the sum of all the elements of the set $A \cap (B \cup C)$ is $274 \times 400$ , then $l$ is equal to

Discussion

28.	AB and CD are equal chords of a circle of radius 20 cm. If O is the centre of circle and OF = 16 cm, find EB.12
Answer» AB and CD are equal chords of a circle of radius 20 cm. If O is the centre of circle and OF = 16 cm, find EB. 12

Discussion

29.	A and B can do a piece of work in 18 days. B and C can do it in 24 days while C and A can finish it in 36 days. In how many days can A,B,C finish it. if they all work together?
Answer» $A$ and $B$ can do a piece of work in $18$ days. $B$ and $C$ can do it in $24$ days while $C$ and $A$ can finish it in $36$ days. In how many days can $A, B, C$ finish it. if they all work together?

Discussion

30.	What is the factorised form of 3x - 12?
Answer» What is the factorised form of 3x - 12?

Discussion

31.	Solve the following pair of equations:5x−1+1y−2=26x−1−3y−2=1(Where x≠1,y≠2)
Answer» Solve the following pair of equations: $\frac{5}{x - 1} + \frac{1}{y - 2} = 2$ $\frac{6}{x - 1} - \frac{3}{y - 2} = 1$ (Where $x \neq 1, y \neq 2)$

Discussion

32.	A positive number is mistakenly divided by 6 instead of being multiplied by 6. What is the percentage error (approximately)?
Answer» A positive number is mistakenly divided by 6 instead of being multiplied by 6. What is the percentage error (approximately)?

Discussion

33.	If m∠OAB=50∘, then sum of angles x,y and z is
Answer» If $m ∠ OAB = 50^{\circ}$ , then sum of angles $x, y$ and $z$ is

Discussion

34.	Simplify the rational number 4334
Answer» Simplify the rational number $43 \frac{3}{4}$

Discussion

35.	Prove that the diagonals of a rectangle are of equal length.
Answer» Prove that the diagonals of a rectangle are of equal length.

Discussion

36.	Circumference of the circle is given by .
Answer» Circumference of the circle is given by .

Discussion

37.	Write the quotient and remainder when we divide. (x2−4) by (x+2)
Answer» Write the quotient and remainder when we divide. $(x^{2} - 4)$ by $(x + 2)$

37.

Write the quotient and remainder when we divide. (x2−4) by (x+2)

Answer»

Write the quotient and remainder when we divide.

$(x^{2} - 4)$ by $(x + 2)$

Discussion

38.

Compile a Two Column Cash Book from the following transactions of Kavita Garments∶− 2017 Feb. 1 Cash in hand ₹ 7,500; Cash at bank ₹ 8,000. 3 Received a cheque of ₹ 5,880 for cash sales. Cheque was immediately deposited into bank. 5 Received two cheques from Kalpna each of ₹ 10,000. 6 First cheque received from Kalpna is endorsed to Sunita in full settlement of ₹ 10,200. Second cheque is sent to bank for collection. 8 Second cheque received from Kalpna is returned as dishonoured by the bank. The bank has debited our account with ₹ 20 as bank charges on this cheque. 10 Received cheque from sale of old furniture ₹ 1,950. Next day, the cheque is endorsed to a creditor Ramesh in full settlement of ₹ 2,000 due to him. 12 Purchased goods from Mohan on Credit for ₹ 8,000. 15 Settled Mohan's account by giving a cheque for ₹ 4,000 and Cash ₹ 3,900. 16 Goods sold to Pawan for ₹ 6,000. He paid the amount in cash immediately after deducting 212% cash discount. 20 Paid salary by cheque ₹ 5,000. 25 Cash sale to date ₹ 50,000 of which ₹ 40,000 banked. 26 Paid electric bill of ₹ 2,000 for January by cheque. Paid Rent for January ₹ 1,500. 27 Cash purchases ₹ 5,000, issued a cheque. 28 Deposited into bank cash retaining ₹ 7,500.

Answer» Compile a Two Column Cash Book from the following transactions of Kavita Garments∶−

2017
Feb. 1	Cash in hand ₹ 7,500; Cash at bank ₹ 8,000.
3	Received a cheque of ₹ 5,880 for cash sales. Cheque was immediately deposited into bank.
5	Received two cheques from Kalpna each of ₹ 10,000.
6	First cheque received from Kalpna is endorsed to Sunita in full settlement of ₹ 10,200.
	Second cheque is sent to bank for collection.
8	Second cheque received from Kalpna is returned as dishonoured by the bank.
	The bank has debited our account with ₹ 20 as bank charges on this cheque.
10	Received cheque from sale of old furniture ₹ 1,950. Next day, the cheque is endorsed to a creditor Ramesh in full settlement of ₹ 2,000 due to him.
12	Purchased goods from Mohan on Credit for ₹ 8,000.
15	Settled Mohan's account by giving a cheque for ₹ 4,000 and Cash ₹ 3,900.
16	Goods sold to Pawan for ₹ 6,000. He paid the amount in cash immediately after deducting 2 $\frac{1}{2}$ % cash discount.
20	Paid salary by cheque ₹ 5,000.
25	Cash sale to date ₹ 50,000 of which ₹ 40,000 banked.
26	Paid electric bill of ₹ 2,000 for January by cheque. Paid Rent for January ₹ 1,500.
27	Cash purchases ₹ 5,000, issued a cheque.
28	Deposited into bank cash retaining ₹ 7,500.

Discussion

39.	Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?
Answer» Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?

Discussion

40.	Question 1(vi)Use a suitable identity to get each of the following products: (a2+b2)(−a2+b2)
Answer» Question 1(vi) Use a suitable identity to get each of the following products: $(a^{2} + b^{2}) (- a^{2} + b^{2})$

Discussion

41.	The length, breadth and height of a cuboid are 10 cm, 12 cm and 15 cm. Find the lateral surface area of the cuboid.
Answer» The length, breadth and height of a cuboid are 10 cm, 12 cm and 15 cm. Find the lateral surface area of the cuboid.

Discussion

42.	How to lebell area vector in curved and plane surface in diagram
Answer» How to lebell area vector in curved and plane surface in diagram

Discussion

43.	given that \overrightarrow P+\overrightarrow Q = \overrightarrow R and P+Q=R. The angle between \overrightarrow P & \overrightarrow{Q }is
Answer» given that \overrightarrow P+\overrightarrow Q = \overrightarrow R and P+Q=R. The angle between \overrightarrow P & \overrightarrow{Q }is

Discussion

44.	Factorise : (i) 12x+15 (ii) 14m-21 (iii) 9n-12n2
Answer» Factorise : (i) 12x+15 (ii) 14m-21 (iii) 9n- $12 n^{2}$

44.

Factorise : (i) 12x+15 (ii) 14m-21 (iii) 9n-12n2

Answer»

Factorise :

(i) 12x+15 (ii) 14m-21 (iii) 9n- $12 n^{2}$

Discussion

45.	81.Find the sum of the digits of the smallest number which when divided by 11 leaves remainder 5 and when divided by 17 leaves remainder 2 ?
Answer» 81.Find the sum of the digits of the smallest number which when divided by 11 leaves remainder 5 and when divided by 17 leaves remainder 2 ?

Discussion

46.	Find the smallest number(s) by which 3087,33275,120393 must be divided respectively so that quotient is a perfect cube.
Answer» Find the smallest number(s) by which $3087, 33275, 120393$ must be divided respectively so that quotient is a perfect cube.

Discussion

47.	The age group of males with the highest number of literates is
Answer» The age group of males with the highest number of literates is

47.

The age group of males with the highest number of literates is

Answer»

The age group of males with the highest number of literates is

Discussion

48.	A person deposited 20,000 rupees in a bank which gives 6% interest compounded half-yearly. How much would he get back after 2 years?
Answer» A person deposited 20,000 rupees in a bank which gives 6% interest compounded half-yearly. How much would he get back after 2 years?

Discussion

49.	Find the value of ((32)−1)−2.
Answer» Find the value of $({(\frac{3}{2})^{- 1})}^{- 2} .$

Discussion

50.

In the following image: To draw perpendicular from P on AB, the next step will be:

Answer»

In the following image:

To draw perpendicular from P on AB, the next step will be:

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

what would be the answer of ...... name any two rational numbers between -2 and -1

69. Draw a square whose sides are represented by x=4,x=-4,y=4,y=-4 and find its area

Given that x=6−4√2 and y is conjugate of x, the value of √4xy is .

The number of candies bought by different students is visually represented as follows:Find the mode of this data set.

Find (0.4p−0.5q)2 [3 MARKS]

In the given frequency distribution, which is/are the median term(s)?Age in yearsNumber of people15316817101810195204

A source generates four independent symbols with probabilities 0.50, 0.25, 0.15. 0.10 at a rate of 20000 symbols per second. The symbols are encoded into binary format using Huffman coding scheme. The average bit rate at the output of the source encoder will be____ kbps.35

Test the divisibility of each of the following numbers by 10:(i) 205(ii) 90(iii) 1174(iv) 57930(v) 60005

67. How construct 75 degree angle?

Divide (−25x4y) by 5x2.

2. Even if the force on the rocket remains the same its acceleration increases how?

(x^3)^2+18y^3x^3+(9y^3)^2=(x^3)^2+(9y^3)^2How?

32. Prove that the diagonal elements of the skew symmetric matrix are all zero

Écrivez l'heure selon le modèle.

Find the multiplicative inverse of 47.

Consider the two statements: Statement 1: If two line segments have the same length, then they are congruent. Statement 2: If two line segments are congruent, then they have the same length.

Construct an equilateral triangle of height 6 cm. Measure approximate length of the its side.

Two adjacent angles of a parellelogram are equal. What is the measure of each of these angles ?

Paras has a certain average for 12 tests. In the 13th test, he scores 80 marks, thereby increasing his average by 6 marks. What is his new average?

If x=12, then the value of x+11+11+1x is equal to

If a square has a side of length 4 cm, what is the length of the diagonal?

Add: 3+2y−5y2+6y3, −8+3y+7y3 and 5−6y−8y3+y2

Question 4(v)Factorisea4−2a2b2+b4

Fifteen more than 3 times Neetu's age is the same as 4 times her age. How old is she ?

Let A={n∈N:n is a 3-digit number}B={9k+2:k∈N} and C={9k+l:k∈N} for some l (0&lt;l&lt;9)If the sum of all the elements of the set A∩(B∪C) is 274×400, then l is equal to

AB and CD are equal chords of a circle of radius 20 cm. If O is the centre of circle and OF = 16 cm, find EB.12

A and B can do a piece of work in 18 days. B and C can do it in 24 days while C and A can finish it in 36 days. In how many days can A,B,C finish it. if they all work together?

What is the factorised form of 3x - 12?

Solve the following pair of equations:5x−1+1y−2=26x−1−3y−2=1(Where x≠1,y≠2)

A positive number is mistakenly divided by 6 instead of being multiplied by 6. What is the percentage error (approximately)?

If m∠OAB=50∘, then sum of angles x,y and z is

Simplify the rational number 4334

Prove that the diagonals of a rectangle are of equal length.

Circumference of the circle is given by .

Write the quotient and remainder when we divide. (x2−4) by (x+2)

Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?

Question 1(vi)Use a suitable identity to get each of the following products: (a2+b2)(−a2+b2)

The length, breadth and height of a cuboid are 10 cm, 12 cm and 15 cm. Find the lateral surface area of the cuboid.

How to lebell area vector in curved and plane surface in diagram

given that \overrightarrow P+\overrightarrow Q = \overrightarrow R and P+Q=R. The angle between \overrightarrow P & \overrightarrow{Q }is

Factorise : (i) 12x+15 (ii) 14m-21 (iii) 9n-12n2

81.Find the sum of the digits of the smallest number which when divided by 11 leaves remainder 5 and when divided by 17 leaves remainder 2 ?

Find the smallest number(s) by which 3087,33275,120393 must be divided respectively so that quotient is a perfect cube.

The age group of males with the highest number of literates is

A person deposited 20,000 rupees in a bank which gives 6% interest compounded half-yearly. How much would he get back after 2 years?

Find the value of ((32)−1)−2.

In the following image: To draw perpendicular from P on AB, the next step will be:

Let A={n∈N:n is a 3-digit number}B={9k+2:k∈N} and C={9k+l:k∈N} for some l (0<l<9)If the sum of all the elements of the set A∩(B∪C) is 274×400, then l is equal to