25365 + Interview Questions in Mathematics

1.	O is any point on the bisector of the acute angle ∠XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, △YPO is:
Answer» O is any point on the bisector of the acute angle $∠$ XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, $△$ YPO is:

1.

O is any point on the bisector of the acute angle ∠XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, △YPO is:

Answer»

O is any point on the bisector of the acute angle $∠$ XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, $△$ YPO is:

Discussion

2.	Construct Parallelogram HEAR where HE = 5 cm, EA = 6 cm, ∠R=85∘. [4 MARKS]
Answer» Construct Parallelogram HEAR where HE = 5 cm, EA = 6 cm, $∠ R = 85^{\circ}$ . [4 MARKS]

Discussion

3.	Q47. How many triangles are there in the following figure?
Answer» Q47. How many triangles are there in the following figure?

3.

Q47. How many triangles are there in the following figure?

Answer»

Q47. How many triangles are there in the following figure?

Discussion

4.	Ratio of height of Anirudh and Swathi is 3by2 what is the hiegt of Anirudh if Swathi height is 120cm.
Answer» Ratio of height of Anirudh and Swathi is 3by2 what is the hiegt of Anirudh if Swathi height is 120cm.

Discussion

5.	A 20 m deep well of diameter 7 m is dug and the earth taken out is evenly spread out to form a platform of 22 m by 14 m. Find the height of the platform.
Answer» A 20 m deep well of diameter 7 m is dug and the earth taken out is evenly spread out to form a platform of 22 m by 14 m. Find the height of the platform.

Discussion

6.	Which of the following statement(s) is/are true? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.
Answer» Which of the following statement(s) is/are true? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.

6.

Which of the following statement(s) is/are true? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.

Answer»

Which of the following statement(s) is/are true?

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

Discussion

7.	38 + 83 = 83 + 38 is an example of:
Answer» 38 + 83 = 83 + 38 is an example of:

Discussion

8.	From a corner of a cube , a smaller cube is cut. What can you say about the surface area and volume of the remaining portion of the cube?
Answer» From a corner of a cube , a smaller cube is cut. What can you say about the surface area and volume of the remaining portion of the cube?

Discussion

9.	Representation of useful data in the form of a picture is known as a ___.
Answer» Representation of useful data in the form of a picture is known as a ___.

Discussion

10.	Rs.1000 is invested in a bank which is compounded half yearly at a rate of interest 20% per annum. In one and a half year what will be the final amount?
Answer» Rs.1000 is invested in a bank which is compounded half yearly at a rate of interest 20% per annum. In one and a half year what will be the final amount?

Discussion

11.	The angles of a quadrilateral are x°, (x-10)°, (x+ 30)° and 2x°. Then find the value of the greatest angle.
Answer» The angles of a quadrilateral are x°, (x-10)°, (x+ 30)° and 2x°. Then find the value of the greatest angle.

Discussion

12.	Who is the class topper?
Answer» Who is the class topper?

Discussion

13.	Solve : 4x+79−3x=14
Answer» Solve : $\frac{4 x + 7}{9 - 3 x} = \frac{1}{4}$

13.

Solve : 4x+79−3x=14

Answer»

Solve :

$\frac{4 x + 7}{9 - 3 x} = \frac{1}{4}$

Discussion

14.	From the given pie charts, find X (the percentage of people who like Reading). The percentage of people who like movies is 4% less than that of the people who like playing.
Answer» From the given pie charts, find X (the percentage of people who like Reading). The percentage of people who like movies is 4% less than that of the people who like playing.

14.

From the given pie charts, find X (the percentage of people who like Reading). The percentage of people who like movies is 4% less than that of the people who like playing.

Answer»

From the given pie charts, find X (the percentage of people who like Reading). The percentage of people who like movies is 4% less than that of the people who like playing.

Discussion

15.	Question 1 (c) Find the ratio of the following: 50 paise to Rs 5
Answer» Question 1 (c) Find the ratio of the following: 50 paise to Rs 5

Discussion

16.	___________ is neither a positive nor a negative rational number.
Answer» ___________ is neither a positive nor a negative rational number.

Discussion

17.	When two dice are thrown , the probability of getting a sum of 6 is ___________
Answer» When two dice are thrown , the probability of getting a sum of 6 is ___________

Discussion

18.	The C.I. to be paid when a sum of ₹ 40,000 is taken for one and a half years at 12% per annum compounded semi annually is (Calculator may be used for calculations)
Answer» The C.I. to be paid when a sum of ₹ 40,000 is taken for one and a half years at 12% per annum compounded semi annually is (Calculator may be used for calculations)

18.

The C.I. to be paid when a sum of ₹ 40,000 is taken for one and a half years at 12% per annum compounded semi annually is (Calculator may be used for calculations)

Answer»

The C.I. to be paid when a sum of ₹ 40,000 is taken for one and a half years at 12% per annum compounded semi annually is

(Calculator may be used for calculations)

Discussion

19.	Question 17 Find the area of the shaded region given in figure.
Answer» Question 17 Find the area of the shaded region given in figure.

Discussion

20.	Two cubes of edges 12 cm each are joined edge to edge. The volume of the new solid is:
Answer» Two cubes of edges 12 cm each are joined edge to edge. The volume of the new solid is:

20.

Two cubes of edges 12 cm each are joined edge to edge. The volume of the new solid is:

Answer»

Two cubes of edges 12 cm each are joined edge to edge. The volume of the new solid is:

Discussion

21.	Question 9 If the mean of the following data is 20.2, then find the value of p. x1015202530f68p106
Answer» Question 9 If the mean of the following data is 20.2, then find the value of p. $\begin{matrix} x & 10 & 15 & 20 & 25 & 30 f & 6 & 8 & p & 10 & 6 \end{matrix}$

Discussion

22.	The total surface area of a cube is 75/8cm sq. Find the side of the cube.
Answer» The total surface area of a cube is 75/8cm sq. Find the side of the cube.

Discussion

23.	If 0/0=0 then how is 0^0=1
Answer» If 0/0=0 then how is 0^0=1

Discussion

24.	If a+2b+3c=0,prove that a3+8b3+27c3=18abc
Answer» If a+2b+3c=0,prove that a³+8b³+27c³=18abc

Discussion

25.	X and Y can do a piece of work in 72 days. Y and Z can do it in 120 days. X and Z can do it in 90 days. How many days does it take if all the three can work together?
Answer» X and Y can do a piece of work in 72 days. Y and Z can do it in 120 days. X and Z can do it in 90 days. How many days does it take if all the three can work together?

Discussion

26.	The given figure shows a sqaure, a regular pentagon and a regular hexagon put together, which of the following statements is true?
Answer» The given figure shows a sqaure, a regular pentagon and a regular hexagon put together, which of the following statements is true?

26.

The given figure shows a sqaure, a regular pentagon and a regular hexagon put together, which of the following statements is true?

Answer»

The given figure shows a sqaure, a regular pentagon and a regular hexagon put together, which of the following statements is true?

Discussion

27.	What type of adverb clause is underlined in the sentence? If Ramiz misses work today, he will be in trouble with the authorities.
Answer» What type of adverb clause is underlined in the sentence? If Ramiz misses work today, he will be in trouble with the authorities.

27.

What type of adverb clause is underlined in the sentence? If Ramiz misses work today, he will be in trouble with the authorities.

Answer»

What type of adverb clause is underlined in the sentence?

If Ramiz misses work today, he will be in trouble with the authorities.

Discussion

28.	A bar graph is not used for which of the following:
Answer» A bar graph is not used for which of the following:

Discussion

29.	If opposite angles in a parallelogram are 110 degrees each, what are the other 2 angles?
Answer» If opposite angles in a parallelogram are 110 degrees each, what are the other 2 angles?

Discussion

30.	Ogives can be used to find:
Answer» Ogives can be used to find:

Discussion

31.	Find the smallest number by which 7623 must be divided to get a perfect square.
Answer» Find the smallest number by which 7623 must be divided to get a perfect square.

Discussion

32.	Solve following equation for x: x2−3x−10=0
Answer» Solve following equation for $x$ : $x^{2} - 3 x - 10 = 0$

Discussion

33.	Simplify :(16−2−13−3)÷15−2
Answer» Simplify : $(\frac{1}{6^{- 2}} - \frac{1}{3^{- 3}}) \div \frac{1}{5^{- 2}}$

Discussion

34.	The cost of type 1 rice is Rs. 10 per kg and type 2 rice is Rs. 20 per kg. If both type 1 and type 2 are mixed in the ratio of 2:3, then the price per kg of the mixed variety of rice is:
Answer» The cost of type 1 rice is Rs. 10 per kg and type 2 rice is Rs. 20 per kg. If both type 1 and type 2 are mixed in the ratio of 2:3, then the price per kg of the mixed variety of rice is:

Discussion

35.	Raj borrows Rs. 8000: out of which Rs. 4500 at 5% and reminder at 6%. Find the total interest paid by him in 4 years.
Answer» Raj borrows Rs. 8000: out of which Rs. 4500 at 5% and reminder at 6%. Find the total interest paid by him in 4 years.

Discussion

36.	A car travels 432 km on 48 litres of petrol. How far would it travel in 20 litres of petrol?
Answer» A car travels 432 km on 48 litres of petrol. How far would it travel in 20 litres of petrol?

Discussion

37.	Factorize the given expressions: i.)−4a2+4ab−4ca ii.)x2yz+xy2z+xyz2
Answer» Factorize the given expressions: $i .) - 4 a^{2} + 4 a b - 4 c a$ $i i .) x^{2} y z + x y^{2} z + x y z^{2}$

37.

Factorize the given expressions: i.)−4a2+4ab−4ca ii.)x2yz+xy2z+xyz2

Answer»

Factorize the given expressions:

$i .) - 4 a^{2} + 4 a b - 4 c a$

$i i .) x^{2} y z + x y^{2} z + x y z^{2}$

Discussion

38.	If two interior angles of a hexagon are 70∘ and 50∘ and all the remaining interior angles are equal to x∘. Find the value of x.
Answer» If two interior angles of a hexagon are 70 $^{\circ}$ and 50 $^{\circ}$ and all the remaining interior angles are equal to $x^{\circ}$ . Find the value of $x$ .

Discussion

39.	In the given AD=BE and ∠DAB=∠EBA. Which of the following statements are true?
Answer» In the given $A D = B E$ and $∠ D A B = ∠ E B A$ . Which of the following statements are true?

39.

In the given AD=BE and ∠DAB=∠EBA. Which of the following statements are true?

Answer»

In the given $A D = B E$ and $∠ D A B = ∠ E B A$ . Which of the following statements are true?

Discussion

40.	Pawan is a cashier in a bank. He has currency notes of denominations ₹ 1000, ₹ 500 and ₹ 100 respectively. The ratio of the number of these notes is 2:3:5. If the total cash with Pawan is ₹ 5,00,000, then how many notes of ₹ 1000 does he have?
Answer» Pawan is a cashier in a bank. He has currency notes of denominations ₹ 1000, ₹ 500 and ₹ 100 respectively. The ratio of the number of these notes is 2:3:5. If the total cash with Pawan is ₹ 5,00,000, then how many notes of ₹ 1000 does he have?

Discussion

41.	The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.
Answer» The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.

Discussion

42.	Factorise : a2+5a+6
Answer» Factorise : $a^{2} + 5 a + 6$

Discussion

43.	Distinguish between Receipts and Payments Account and Cash Book.
Answer» Distinguish between Receipts and Payments Account and Cash Book.

Discussion

44.	Give three examples of the expressions: (i) containing one variable (ii) containing two variables (iii) containing two terms. [4 MARKS]
Answer» Give three examples of the expressions: (i) containing one variable (ii) containing two variables (iii) containing two terms. [4 MARKS]

44.

Give three examples of the expressions: (i) containing one variable (ii) containing two variables (iii) containing two terms. [4 MARKS]

Answer»

Give three examples of the expressions:

(i) containing one variable

(ii) containing two variables

(iii) containing two terms. [4 MARKS]

Discussion

45.	In a class, there are 529 students who are arranged in rows and columns to form a square for a P.T display. Now the teacher wants to add one more row and column for which 60 more students volunteer. Find the number of students who will not be part of the P.T display.
Answer» In a class, there are 529 students who are arranged in rows and columns to form a square for a P.T display. Now the teacher wants to add one more row and column for which 60 more students volunteer. Find the number of students who will not be part of the P.T display.

Discussion

46.	Every regular polygon has ___ measures of sides and angles.
Answer» Every regular polygon has ___ measures of sides and angles.

Discussion

47.	The square of 48 is:
Answer» The square of 48 is:

Discussion

48.	The value of x which satisfies the equation ax+b=0,a≠0 is known as
Answer» The value of x which satisfies the equation $a x + b = 0, a \neq 0$ is known as

Discussion

49.	What should be added to 7 to get - 45 ?
Answer» What should be added to 7 to get - $\frac{4}{5}$ ?

Discussion

50.	Which of the following is incorrect?
Answer» Which of the following is incorrect?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

O is any point on the bisector of the acute angle ∠XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, △YPO is:

Construct Parallelogram HEAR where HE = 5 cm, EA = 6 cm, ∠R=85∘. [4 MARKS]

Q47. How many triangles are there in the following figure?

Ratio of height of Anirudh and Swathi is 3by2 what is the hiegt of Anirudh if Swathi height is 120cm.

A 20 m deep well of diameter 7 m is dug and the earth taken out is evenly spread out to form a platform of 22 m by 14 m. Find the height of the platform.

Which of the following statement(s) is/are true? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.

38 + 83 = 83 + 38 is an example of:

From a corner of a cube , a smaller cube is cut. What can you say about the surface area and volume of the remaining portion of the cube?

Representation of useful data in the form of a picture is known as a ___.

Rs.1000 is invested in a bank which is compounded half yearly at a rate of interest 20% per annum. In one and a half year what will be the final amount?

The angles of a quadrilateral are x°, (x-10)°, (x+ 30)° and 2x°. Then find the value of the greatest angle.

Who is the class topper?

Solve : 4x+79−3x=14

From the given pie charts, find X (the percentage of people who like Reading). The percentage of people who like movies is 4% less than that of the people who like playing.

Question 1 (c) Find the ratio of the following: 50 paise to Rs 5

___________ is neither a positive nor a negative rational number.

When two dice are thrown , the probability of getting a sum of 6 is ___________

The C.I. to be paid when a sum of ₹ 40,000 is taken for one and a half years at 12% per annum compounded semi annually is (Calculator may be used for calculations)

Question 17 Find the area of the shaded region given in figure.

Two cubes of edges 12 cm each are joined edge to edge. The volume of the new solid is:

Question 9 If the mean of the following data is 20.2, then find the value of p. x1015202530f68p106

The total surface area of a cube is 75/8cm sq. Find the side of the cube.

If 0/0=0 then how is 0^0=1

If a+2b+3c=0,prove that a3+8b3+27c3=18abc

X and Y can do a piece of work in 72 days. Y and Z can do it in 120 days. X and Z can do it in 90 days. How many days does it take if all the three can work together?

The given figure shows a sqaure, a regular pentagon and a regular hexagon put together, which of the following statements is true?

What type of adverb clause is underlined in the sentence? If Ramiz misses work today, he will be in trouble with the authorities.

A bar graph is not used for which of the following:

If opposite angles in a parallelogram are 110 degrees each, what are the other 2 angles?

Ogives can be used to find:

Find the smallest number by which 7623 must be divided to get a perfect square.

Solve following equation for x: x2−3x−10=0

Simplify :(16−2−13−3)÷15−2

The cost of type 1 rice is Rs. 10 per kg and type 2 rice is Rs. 20 per kg. If both type 1 and type 2 are mixed in the ratio of 2:3, then the price per kg of the mixed variety of rice is:

Raj borrows Rs. 8000: out of which Rs. 4500 at 5% and reminder at 6%. Find the total interest paid by him in 4 years.

A car travels 432 km on 48 litres of petrol. How far would it travel in 20 litres of petrol?

Factorize the given expressions: i.)−4a2+4ab−4ca ii.)x2yz+xy2z+xyz2

If two interior angles of a hexagon are 70∘ and 50∘ and all the remaining interior angles are equal to x∘. Find the value of x.

In the given AD=BE and ∠DAB=∠EBA. Which of the following statements are true?

Pawan is a cashier in a bank. He has currency notes of denominations ₹ 1000, ₹ 500 and ₹ 100 respectively. The ratio of the number of these notes is 2:3:5. If the total cash with Pawan is ₹ 5,00,000, then how many notes of ₹ 1000 does he have?

The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.

Factorise : a2+5a+6

Distinguish between Receipts and Payments Account and Cash Book.

Give three examples of the expressions: (i) containing one variable (ii) containing two variables (iii) containing two terms. [4 MARKS]

In a class, there are 529 students who are arranged in rows and columns to form a square for a P.T display. Now the teacher wants to add one more row and column for which 60 more students volunteer. Find the number of students who will not be part of the P.T display.

Every regular polygon has ___ measures of sides and angles.

The square of 48 is:

The value of x which satisfies the equation ax+b=0,a≠0 is known as

What should be added to 7 to get - 45 ?

Which of the following is incorrect?