25365 + Interview Questions in Mathematics

1.	If x2+y2=14 and xy=3, then find the value of2(x+y)2−5(x−y)2.
Answer» $If x^{2} + y^{2} = 14 and x y = 3,$ then find the value of $2 (x + y)^{2} - 5 (x - y)^{2} .$

Discussion

2.	How many theorems did Euclid give in his book - Elements?
Answer» How many theorems did Euclid give in his book - Elements?

Discussion

3.	2528×2−7 =
Answer» $\frac{2^{5}}{2^{8}} \times 2^{- 7}$ =

Discussion

4.	(0.424242.......)-(0.353535.....)
Answer» (0.424242.......)-(0.353535.....)

Discussion

5.	Question 87 (i)Write the greatest common factor in the following:−18a2,108a
Answer» Question 87 (i) Write the greatest common factor in the following: $- 18 a^{2}, 108 a$

5.

Question 87 (i)Write the greatest common factor in the following:−18a2,108a

Answer»

Question 87 (i)

Write the greatest common factor in the following:

$- 18 a^{2}, 108 a$

Discussion

6.	If 1100 people like playing cricket, then what is the total number of people who took the survey? Following pie chart shows the percentage of people playing some game.
Answer» If 1100 people like playing cricket, then what is the total number of people who took the survey? Following pie chart shows the percentage of people playing some game.

6.

If 1100 people like playing cricket, then what is the total number of people who took the survey? Following pie chart shows the percentage of people playing some game.

Answer»

If 1100 people like playing cricket, then what is the total number of people who took the survey? Following pie chart shows the percentage of people playing some game.

Discussion

7.

Consider the following input/output table. Draw a line graph for it. Input 1 2 4 5 7 Output 2 5 11 14 20 Now, use the graph drawn to predict the outputs for the inputs of 3 and 8.

Answer» Consider the following input/output table. Draw a line graph for it.

Input	1	2	4	5	7
Output	2	5	11	14	20

Now, use the graph drawn to predict the outputs for the inputs of 3 and 8.

Discussion

8.	In a cuboidal room, the areas of three adjacent faces are 6 m2, 27 m2 and 8 m2, then the volume of the cuboid is
Answer» In a cuboidal room, the areas of three adjacent faces are 6 m2, 27 m2 and 8 m2, then the volume of the cuboid is

Discussion

9.	Out of the 720 six digit numbers that can be formed by using all the six digits 2,3,4,5,7 and 8 , the number of such numbers divisible by 11 is
Answer» Out of the 720 six digit numbers that can be formed by using all the six digits 2,3,4,5,7 and 8 , the number of such numbers divisible by 11 is

Discussion

10.	Which of the following mapped diagram satisfies given function defined from X to Y.y=2x2−2x+2X:{32,√2,−1,1,0}Y:{2,6,72,6−2√2}Given that x∈X & y∈Y
Answer» Which of the following mapped diagram satisfies given function defined from $X$ to $Y$ . $y = 2 x^{2} - 2 x + 2$ $X : {\frac{3}{2}, \sqrt{2}, - 1, 1, 0}$ $Y : {2, 6, \frac{7}{2}, 6 - 2 \sqrt{2}}$ Given that $x \in X & y \in Y$

Discussion

11.	Question 85 (vii)Expand the following, using suitable identities.(2x+9)(2x−7)
Answer» Question 85 (vii) Expand the following, using suitable identities. $(2 x + 9) (2 x - 7)$

11.

Question 85 (vii)Expand the following, using suitable identities.(2x+9)(2x−7)

Answer»

Question 85 (vii)

Expand the following, using suitable identities.

$(2 x + 9) (2 x - 7)$

Discussion

12.	The mileage (km per litre) of 50 cars of the same model was tested by a manufacturer and details are tabulated as given belowMileage(kmL−1)10−1212−1414−1616−18Number of cars7121813Find the mean mileage.The manufacturer claimed that the mileage of the model was 16 kmL−1. Do you agree with this claim?
Answer» The mileage (km per litre) of 50 cars of the same model was tested by a manufacturer and details are tabulated as given below $\begin{matrix} M i l e a g e (k m L^{- 1}) & 10 - 12 & 12 - 14 & 14 - 16 & 16 - 18 N u m b e r o f c a r s & 7 & 12 & 18 & 13 \end{matrix}$ Find the mean mileage. The manufacturer claimed that the mileage of the model was $16 k m L^{- 1} .$ Do you agree with this claim?

Discussion

13.	Which number succeeds 75999?
Answer» Which number succeeds 75999?

Discussion

14.	What can be said about the profit of a company, which sells tablets, from the following data?MonthJanuaryFebruaryMarchAprilMayNo. of tablets solds11009816451234990
Answer» What can be said about the profit of a company, which sells tablets, from the following data? $\begin{matrix} Month & January & February & March & April & May No. of tablets solds & 1100 & 981 & 645 & 1234 & 990 \end{matrix}$

Discussion

15.	Find and correct the errors in the following mathematical statement. Substituting x = −3 in (a) x2 + 5x + 4 gives (−3)2 + 5 (−3) + 4 = 9 + 2 + 4 = 15 (b) x2 − 5x + 4 gives (−3)2 − 5 (−3) + 4 = 9 − 15 + 4 = −2 (c) x2 + 5x gives (−3)2 + 5 (−3) = −9 − 15 = −24
Answer» Find and correct the errors in the following mathematical statement. Substituting x = −3 in (a) x² + 5x + 4 gives (−3)² + 5 (−3) + 4 = 9 + 2 + 4 = 15 (b) x² − 5x + 4 gives (−3)² − 5 (−3) + 4 = 9 − 15 + 4 = −2 (c) x² + 5x gives (−3)² + 5 (−3) = −9 − 15 = −24

15.

Find and correct the errors in the following mathematical statement. Substituting x = −3 in (a) x2 + 5x + 4 gives (−3)2 + 5 (−3) + 4 = 9 + 2 + 4 = 15 (b) x2 − 5x + 4 gives (−3)2 − 5 (−3) + 4 = 9 − 15 + 4 = −2 (c) x2 + 5x gives (−3)2 + 5 (−3) = −9 − 15 = −24

Answer»

Find and correct the errors in the following mathematical
statement. Substituting x = −3 in

(a) x² + 5x + 4 gives (−3)²
+ 5 (−3) + 4 = 9 + 2 + 4 = 15

(b) x² − 5x + 4 gives (−3)²
− 5 (−3) + 4 = 9 − 15 + 4 = −2

(c) x² + 5x gives (−3)²
+ 5 (−3) = −9 − 15 = −24

Discussion

16.	What is the smallest number by which 1375 should be divided so that the quotient may be a perfect cube?
Answer» What is the smallest number by which 1375 should be divided so that the quotient may be a perfect cube?

Discussion

17.	The length of a room is 50 % more than its breadth. The cost of carpeting the room at the rate of Rs. 38.50/ m^2 is Rs. 924 and the cost of painting the walls at the rate of Rs. 5.50/ m^2 is Rs. 1320. Find the dimensions of the room.
Answer» The length of a room is 50 % more than its breadth. The cost of carpeting the room at the rate of Rs. 38.50/ m^2 is Rs. 924 and the cost of painting the walls at the rate of Rs. 5.50/ m^2 is Rs. 1320. Find the dimensions of the room.

Discussion

18.	Some tickets of ₹ 200 and some of ₹ 100, of a drama in a theatre were sold. The number of tickets of ₹ 200 sold was 20 more than the number of tickets of ₹ 100. The total amount received by the theatre by sale of tickets was ₹ 37000. Find the number of ₹ 100 tickets sold.
Answer» Some tickets of ₹ 200 and some of ₹ 100, of a drama in a theatre were sold. The number of tickets of ₹ 200 sold was 20 more than the number of tickets of ₹ 100. The total amount received by the theatre by sale of tickets was ₹ 37000. Find the number of ₹ 100 tickets sold.

Discussion

19.	In the given figure ABCO is a parallelogram. AB, CD and OD are equal in length. If ∠ BAO=110∘, then find the measure of ∠ BCD.
Answer» $In the given figure ABCO is a parallelogram. AB, CD and OD are equal in length. If ∠ B A O = 110^{\circ}, then find the measure of ∠ B C D .$

Discussion

20.	Which has greater size-Mn or Zn
Answer» Which has greater size-Mn or Zn

Discussion

21.	Rupees 4000 amount to Rs. 5000 in 8 years: in what time will Rs. 2100 amount to Rs. 2800 at the same rate?
Answer» Rupees 4000 amount to Rs. 5000 in 8 years: in what time will Rs. 2100 amount to Rs. 2800 at the same rate?

Discussion

22.	(180 % of ?) ÷ 2= 504 (a) 400 (b) 480 (c) 600 (d) 560
Answer» (180 $%$ of ?) $\div$ 2= 504 (a) 400 (b) 480 (c) 600 (d) 560

Discussion

23.	Question 23 On dividing p(4p2−16) by 4p(p−2), we get a) 2p+4 b) 2p−4 c) p+2 d) p−2
Answer» Question 23 On dividing $p (4 p^{2} - 16)$ by $4 p (p - 2)$ , we get a) $2 p + 4$ b) $2 p - 4$ c) $p + 2$ d) $p - 2$

Discussion

24.	Question 5(iii)Find five rational number between:14 and 12
Answer» Question 5(iii) Find five rational number between: $\frac{1}{4} a n d \frac{1}{2}$

Discussion

25.	Find the quotient when x3−2x2−11x+12 is divided by x−1
Answer» Find the quotient when $x^{3} - 2 x^{2} - 11 x + 12$ is divided by $x - 1$

Discussion

26.	How many consecutive odd numbers will be needed to obtain the sum as 18³?
Answer» How many consecutive odd numbers will be needed to obtain the sum as 18³?

Discussion

27.	What is the additive inverse of (-9)?
Answer» What is the additive inverse of (-9)?

Discussion

28.	4xy−10yx+26xy= ____.
Answer» $4 x y - 10 y x + 26 x y =$ ____.

Discussion

29.	Question 2In the given question, out of four options, only one is correct. Write the correct answer.Generalised form of a two-digit number xy is (a) x + y(b) 10x + y(c) 10x - y(d) 10y + x
Answer» Question 2 In the given question, out of four options, only one is correct. Write the correct answer. Generalised form of a two-digit number xy is (a) x + y (b) 10x + y (c) 10x - y (d) 10y + x

Discussion

30.	By selling a tape recorder for Rs. 6000 , a loss of Rs. 1000 is suffered. Find its cost price. Also, find the price at which this tape recorder should be sold in order to gain 16%
Answer» By selling a tape recorder for Rs. 6000 , a loss of Rs. 1000 is suffered. Find its cost price. Also, find the price at which this tape recorder should be sold in order to gain 16%

Discussion

31.	Find the last three digits of 2^{2017
Answer» Find the last three digits of 2^{2017

Discussion

32.	two gases A and B having the same pressure P valume V and temperature T are mixed . if mixture has volume and temperature as V and T respectivaly, then the pressure of the mixure will b
Answer» two gases A and B having the same pressure P valume V and temperature T are mixed . if mixture has volume and temperature as V and T respectivaly, then the pressure of the mixure will b

Discussion

33.	A boy found that four matchsticks are required to make a square, eight for two squares and so on. He was fascinated and developed a rule so as to calculate the number of matchsticks for any number of squares he needs to form. Calculate the number of matchsticks required for making 10 squares.
Answer» A boy found that four matchsticks are required to make a square, eight for two squares and so on. He was fascinated and developed a rule so as to calculate the number of matchsticks for any number of squares he needs to form. Calculate the number of matchsticks required for making 10 squares.

Discussion

34.	If 1+i1-i3-1-i1+i3=x+iy, find (x, y).
Answer» If ${(\frac{1 + i}{1 - i})}^{3} - {(\frac{1 - i}{1 + i})}^{3} = x + i y$ , find (x, y).

Discussion

35.	A number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8}. The probability that it is a root of the equation x2 – 6x + 8 = 0, is ________.
Answer» A number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8}. The probability that it is a root of the equation x² – 6x + 8 = 0, is ________.

Discussion

36.	The side of a regular hexagon with perimeter 84 cm is:
Answer» The side of a regular hexagon with perimeter 84 cm is:

36.

The side of a regular hexagon with perimeter 84 cm is:

Answer»

The side of a regular hexagon with perimeter 84 cm is:

Discussion

37.	Rajeeta purchased a set of cosmetics. She paid Rs. 165 for it including VAT. If the rate of VAT is 10%, find the sale price of the set.
Answer» Rajeeta purchased a set of cosmetics. She paid Rs. 165 for it including VAT. If the rate of VAT is $10 %$ , find the sale price of the set.

Discussion

38.	The area of a rectangle whose sides are 334cm and 265cm is equal to
Answer» The area of a rectangle whose sides are $3 \frac{3}{4} cm$ and $2 \frac{6}{5} cm$ is equal to

Discussion

39.	which of the given polynomial is divisible by x^3 +x^2+x+1? x54+x45+x38+x15x51+x45+x36+x15x51+x46+x39+x14x+x44+x56+x61Explain
Answer» which of the given polynomial is divisible by x^3 +x^2+x+1? x54+x45+x38+x15 x51+x45+x36+x15 x51+x46+x39+x14 x+x44+x56+x61 Explain

Discussion

40.	Find the sum invested if the difference between S.I. and C.I. on a sum for 2 years at 8% per annum is ₹ 160
Answer» Find the sum invested if the difference between S.I. and C.I. on a sum for 2 years at $8 %$ per annum is ₹ 160

Discussion

41.	In a triangle ABC, AC = AB and the altitude AD bisects BC. Prove that ΔADC ≅ ΔADB.
Answer» In a triangle ABC, AC = AB and the altitude AD bisects BC. Prove that ΔADC ≅ ΔADB.

Discussion

42.	In ∆ABC, which of the following information is needed to construct it if it is known that measure of ∠B = 60o and BC = 6 cm.
Answer» In ∆ABC, which of the following information is needed to construct it if it is known that measure of ∠B = 60^o and BC = 6 cm.

Discussion

43.	Select the bubbles that would yield a positive value.
Answer» Select the bubbles that would yield a positive value.

Discussion

44.	What is the least number of non-collinear points required to determine a plane?
Answer» What is the least number of non-collinear points required to determine a plane?

44.

What is the least number of non-collinear points required to determine a plane?

Answer»

What is the least number of non-collinear points required to determine a plane?

Discussion

45.	Calculate the perimeter of a rectangle whose area is 25x^2 – 35x + 12.
Answer» Calculate the perimeter of a rectangle whose area is 25x^2 – 35x + 12.

Discussion

46.	Question 4If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?
Answer» Question 4 If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

46.

Question 4If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

Answer»

Question 4

If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

Discussion

47.	Tick the correct answer in each of the following: The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago for Rs 60000. What is the present value of the machine ? (a) Rs 53640 (b) Rs 51680 (c) Rs 43740 (d) Rs 43470
Answer» Tick the correct answer in each of the following: The value of a machine depreciates at the rate of $10 %$ per annum. It was purchased 3 years ago for Rs 60000. What is the present value of the machine ? (a) Rs 53640 (b) Rs 51680 (c) Rs 43740 (d) Rs 43470

47.

Tick the correct answer in each of the following: The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago for Rs 60000. What is the present value of the machine ? (a) Rs 53640 (b) Rs 51680 (c) Rs 43740 (d) Rs 43470

Answer»

Tick the correct answer in each of the following:

The value of a machine depreciates at the rate of $10 %$ per annum. It was purchased 3 years ago for Rs 60000. What is the present value of the machine ?

(a) Rs 53640 (b) Rs 51680 (c) Rs 43740 (d) Rs 43470

Discussion

48.	A person receives a commission of 2% in selling a land for ₹2,00,000. What is the commission amount?4000
Answer» A person receives a commission of 2% in selling a land for ₹2,00,000. What is the commission amount? 4000

Discussion

49.	How many natural numbers lie between 92 and 102?
Answer» How many natural numbers lie between 9² and 10²?

Discussion

50.	Two successive discount of 50% and 50% is equal to a single discount of:
Answer» Two successive discount of $50 %$ and $50 %$ is equal to a single discount of:

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If x2+y2=14 and xy=3, then find the value of2(x+y)2−5(x−y)2.

How many theorems did Euclid give in his book - Elements?

2528×2−7 =

(0.424242.......)-(0.353535.....)

Question 87 (i)Write the greatest common factor in the following:−18a2,108a

If 1100 people like playing cricket, then what is the total number of people who took the survey? Following pie chart shows the percentage of people playing some game.

Consider the following input/output table. Draw a line graph for it. Input 1 2 4 5 7 Output 2 5 11 14 20 Now, use the graph drawn to predict the outputs for the inputs of 3 and 8.

In a cuboidal room, the areas of three adjacent faces are 6 m2, 27 m2 and 8 m2, then the volume of the cuboid is

Out of the 720 six digit numbers that can be formed by using all the six digits 2,3,4,5,7 and 8 , the number of such numbers divisible by 11 is

Which of the following mapped diagram satisfies given function defined from X to Y.y=2x2−2x+2X:{32,√2,−1,1,0}Y:{2,6,72,6−2√2}Given that x∈X &amp; y∈Y

Question 85 (vii)Expand the following, using suitable identities.(2x+9)(2x−7)

Which number succeeds 75999?

What can be said about the profit of a company, which sells tablets, from the following data?MonthJanuaryFebruaryMarchAprilMayNo. of tablets solds11009816451234990

Find and correct the errors in the following mathematical statement. Substituting x = −3 in (a) x2 + 5x + 4 gives (−3)2 + 5 (−3) + 4 = 9 + 2 + 4 = 15 (b) x2 − 5x + 4 gives (−3)2 − 5 (−3) + 4 = 9 − 15 + 4 = −2 (c) x2 + 5x gives (−3)2 + 5 (−3) = −9 − 15 = −24

What is the smallest number by which 1375 should be divided so that the quotient may be a perfect cube?

The length of a room is 50 % more than its breadth. The cost of carpeting the room at the rate of Rs. 38.50/ m^2 is Rs. 924 and the cost of painting the walls at the rate of Rs. 5.50/ m^2 is Rs. 1320. Find the dimensions of the room.

Some tickets of ₹ 200 and some of ₹ 100, of a drama in a theatre were sold. The number of tickets of ₹ 200 sold was 20 more than the number of tickets of ₹ 100. The total amount received by the theatre by sale of tickets was ₹ 37000. Find the number of ₹ 100 tickets sold.

In the given figure ABCO is a parallelogram. AB, CD and OD are equal in length. If ∠ BAO=110∘, then find the measure of ∠ BCD.

Which has greater size-Mn or Zn

Rupees 4000 amount to Rs. 5000 in 8 years: in what time will Rs. 2100 amount to Rs. 2800 at the same rate?

(180 % of ?) ÷ 2= 504 (a) 400 (b) 480 (c) 600 (d) 560

Question 23 On dividing p(4p2−16) by 4p(p−2), we get a) 2p+4 b) 2p−4 c) p+2 d) p−2

Question 5(iii)Find five rational number between:14 and 12

Find the quotient when x3−2x2−11x+12 is divided by x−1

How many consecutive odd numbers will be needed to obtain the sum as 18³?

What is the additive inverse of (-9)?

4xy−10yx+26xy= ____.

Question 2In the given question, out of four options, only one is correct. Write the correct answer.Generalised form of a two-digit number xy is (a) x + y(b) 10x + y(c) 10x - y(d) 10y + x

By selling a tape recorder for Rs. 6000 , a loss of Rs. 1000 is suffered. Find its cost price. Also, find the price at which this tape recorder should be sold in order to gain 16%

Find the last three digits of 2^{2017

two gases A and B having the same pressure P valume V and temperature T are mixed . if mixture has volume and temperature as V and T respectivaly, then the pressure of the mixure will b

A boy found that four matchsticks are required to make a square, eight for two squares and so on. He was fascinated and developed a rule so as to calculate the number of matchsticks for any number of squares he needs to form. Calculate the number of matchsticks required for making 10 squares.

If 1+i1-i3-1-i1+i3=x+iy, find (x, y).

A number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8}. The probability that it is a root of the equation x2 – 6x + 8 = 0, is ________.

The side of a regular hexagon with perimeter 84 cm is:

Rajeeta purchased a set of cosmetics. She paid Rs. 165 for it including VAT. If the rate of VAT is 10%, find the sale price of the set.

The area of a rectangle whose sides are 334cm and 265cm is equal to

which of the given polynomial is divisible by x^3 +x^2+x+1? x54+x45+x38+x15x51+x45+x36+x15x51+x46+x39+x14x+x44+x56+x61Explain

Find the sum invested if the difference between S.I. and C.I. on a sum for 2 years at 8% per annum is ₹ 160

In a triangle ABC, AC = AB and the altitude AD bisects BC. Prove that ΔADC ≅ ΔADB.

In ∆ABC, which of the following information is needed to construct it if it is known that measure of ∠B = 60o and BC = 6 cm.

Select the bubbles that would yield a positive value.

What is the least number of non-collinear points required to determine a plane?

Calculate the perimeter of a rectangle whose area is 25x^2 – 35x + 12.

Question 4If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

Tick the correct answer in each of the following: The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago for Rs 60000. What is the present value of the machine ? (a) Rs 53640 (b) Rs 51680 (c) Rs 43740 (d) Rs 43470

A person receives a commission of 2% in selling a land for ₹2,00,000. What is the commission amount?4000

How many natural numbers lie between 92 and 102?

Two successive discount of 50% and 50% is equal to a single discount of:

Which of the following mapped diagram satisfies given function defined from X to Y.y=2x2−2x+2X:{32,√2,−1,1,0}Y:{2,6,72,6−2√2}Given that x∈X & y∈Y