25365 + Interview Questions in Mathematics

1.	By what number should (12)−1 multiplied so that the product may equal to (−47)−1 ?
Answer» By what number should ${(\frac{1}{2})}^{- 1}$ multiplied so that the product may equal to ${(\frac{- 4}{7})}^{- 1} ?$

Discussion

2.	If the cost of printing a book of 380 pages with 20 lines on each page and on an average 11 words in each line is ₹ 19, then the cost of printing a book with 280 pages 22 lines on each page and 10 words in each line is
Answer» If the cost of printing a book of 380 pages with 20 lines on each page and on an average 11 words in each line is ₹ 19, then the cost of printing a book with 280 pages 22 lines on each page and 10 words in each line is

Discussion

3.	X and Y are two points on equal sides AB and AC of the triangle ABC such that AX = BY then the three conditions for △AXC ≅ △AYB are
Answer» X and Y are two points on equal sides AB and AC of the triangle ABC such that AX = BY then the three conditions for △AXC ≅ △AYB are

Discussion

4.	The train covers 20 km in 15 minutes. How much distance will the car cover in 15 minutes if the speed of car is 60% of the speed of the train?
Answer» The train covers 20 km in 15 minutes. How much distance will the car cover in 15 minutes if the speed of car is 60% of the speed of the train?

Discussion

5.	A customer pays $1,100 as sales tax on a newly purchased car. What is the value of the car if sales tax is 8.8% of the value?
Answer» A customer pays $1,100 as sales tax on a newly purchased car. What is the value of the car if sales tax is 8.8% of the value?

Discussion

6.	Factorise: (2a−3)2−2(2a−3)(a−1)+(a−1)2
Answer» Factorise: $(2 a - 3)^{2} - 2 (2 a - 3) (a - 1) + (a - 1)^{2}$

6.

Factorise: (2a−3)2−2(2a−3)(a−1)+(a−1)2

Answer»

Factorise:

$(2 a - 3)^{2} - 2 (2 a - 3) (a - 1) + (a - 1)^{2}$

Discussion

7.	Question 5(v) Obtain the product of: m,-mn,mnp
Answer» Question 5(v) Obtain the product of: m,-mn,mnp

Discussion

8.	find the squaresof the following, using property of perfect square. (a) 7 (b) 15
Answer» find the squaresof the following, using property of perfect square. (a) 7 (b) 15

8.

find the squaresof the following, using property of perfect square. (a) 7 (b) 15

Answer»

find the squaresof the following, using property of perfect square.

(a) 7

(b) 15

Discussion

9.	Factorising m2+7m−60 and dividing it by (m−5) gives ___
Answer» Factorising $m^{2} + 7 m - 60$ and dividing it by $(m - 5)$ gives ___

Discussion

10.	Working 8 hours a day, Ashu can copy a book in 18 days. How many hours a day should he work so as to finish the work in 12 days?
Answer» Working 8 hours a day, Ashu can copy a book in 18 days. How many hours a day should he work so as to finish the work in 12 days?

Discussion

11.	Expand: (a - 1)2
Answer» Expand: (a - 1)²

Discussion

12.	We are given the equation x+2y=3 Statement 1: The degree of the equation is one. Statement 2 : It is a linear equation in two variable.
Answer» We are given the equation $x + 2 y = 3$ Statement 1: The degree of the equation is one. Statement 2 : It is a linear equation in two variable.

12.

We are given the equation x+2y=3 Statement 1: The degree of the equation is one. Statement 2 : It is a linear equation in two variable.

Answer»

We are given the equation $x + 2 y = 3$

Statement 1: The degree of the equation is one.

Statement 2 : It is a linear equation in two variable.

Discussion

13.	ABCD is a parallelogram in which ∠DAO=40∘,∠BAO=35∘ and ∠COD=65∘ . Find ∠ODC.
Answer» ABCD is a parallelogram in which $∠ D A O = 40^{\circ}$ , $∠ B A O = 35^{\circ} a n d ∠ C O D = 65^{\circ}$ . Find $∠ O D C$ .

Discussion

14.	Construct a rhombus the lengths of whose diagonals are 6 cm and 8 cm.
Answer» Construct a rhombus the lengths of whose diagonals are 6 cm and 8 cm.

Discussion

15.	Construct: (i) 2 binomials with 3 variables. (ii) 3 polynomials with 3 terms and 2 variables. (iii) 2 trinomials with x as the only variable. (iv) 3 binomials with x and y as variable. [4 MARKS]
Answer» Construct: (i) 2 binomials with 3 variables. (ii) 3 polynomials with 3 terms and 2 variables. (iii) 2 trinomials with x as the only variable. (iv) 3 binomials with x and y as variable. [4 MARKS]

15.

Construct: (i) 2 binomials with 3 variables. (ii) 3 polynomials with 3 terms and 2 variables. (iii) 2 trinomials with x as the only variable. (iv) 3 binomials with x and y as variable. [4 MARKS]

Answer»

Construct:

(i) 2 binomials with 3 variables.

(ii) 3 polynomials with 3 terms and 2 variables.

(iii) 2 trinomials with x as the only variable.

(iv) 3 binomials with x and y as variable. [4 MARKS]

Discussion

16.	Point (3,-2) lies in ___ quadrant.
Answer» Point (3,-2) lies in ___ quadrant.

Discussion

17.	A pipe is connected to a tank. The water flows out from the tank through the pipe at the rate of 64 m3min. Find the time taken by the pipe to empty the volume of 1024 m3. (in mins)
Answer» A pipe is connected to a tank. The water flows out from the tank through the pipe at the rate of $64 \frac{m^{3}}{m i n}$ . Find the time taken by the pipe to empty the volume of $1024 m^{3}$ .(in mins)

Discussion

18.	The volume of a cuboid p ( x ) = x cube + 13 x square + 32x + 20; find the possible expressions for dimensions of the cuboid.
Answer» The volume of a cuboid p ( x ) = x cube + 13 x square + 32x + 20; find the possible expressions for dimensions of the cuboid.

Discussion

19.	In an equilateral △ABC, if △DFE is formed by joining the midpoints of the sides, the area of △DFE is ___ × the area of △ ABC.
Answer» In an equilateral $△ A B C$ , if $△ D F E$ is formed by joining the midpoints of the sides, the area of $△ D F E$ is ___ $\times$ the area of $△$ ABC.

Discussion

20.	By what number should (−6)−1 be multiplied so that the product becomes 9−1 ?
Answer» By what number should $(- 6)^{- 1}$ be multiplied so that the product becomes $9^{- 1}$ ?

Discussion

21.	The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits is 1 : 2?8
Answer» The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits is 1 : 2? 8

Discussion

22.	Which of these are examples of direct proportions:- (i) Total amount to the number of groceries. (ii) Time required in completing a work to number of workers doing that work. (iii) Distance covered to time when speed is constant.
Answer» Which of these are examples of direct proportions:- (i) Total amount to the number of groceries. (ii) Time required in completing a work to number of workers doing that work. (iii) Distance covered to time when speed is constant.

Discussion

23.	Calculate the amount on ₹ 15,000 in 2 years and at 12 % compounded annually
Answer» Calculate the amount on ₹ 15,000 in 2 years and at 12 % compounded annually

Discussion

24.	Factorise: 25+70x+49x2
Answer» $Factorise: 25 + 70 x + 49 x^{2}$

Discussion

25.	If A = {2, 4, 6, 8} and B = {2, 3, 5, 7, 9}. Which of the following is a function from A to B?
Answer» If A = {2, 4, 6, 8} and B = {2, 3, 5, 7, 9}. Which of the following is a function from A to B?

Discussion

26.	(a) In the given figure, the value of xis: [2 MARKS] Figure 1. (b) An angle is greater than 45∘. Is its complementary angle greater than 45∘ or equal to 45∘ or less than 45∘ ?
Answer» (a) In the given figure, the value of xis: [2 MARKS] Figure 1. (b) An angle is greater than $45^{\circ}$ . Is its complementary angle greater than $45^{\circ}$ or equal to $45^{\circ}$ or less than $45^{\circ}$ ?

Discussion

27.	The length, breadth and height of a cubiod is 30 cm, 25cm, 20 cm respectively. Its total surface area is
Answer» The length, breadth and height of a cubiod is 30 cm, 25cm, 20 cm respectively. Its total surface area is

Discussion

28.	There is a sale going on in the nearby mall and all the products are available at flat 60% off. If Rohan buys products worth ₹ 21000 , find the total cost (marked price) of those products before the discount.
Answer» There is a sale going on in the nearby mall and all the products are available at flat 60% off. If Rohan buys products worth ₹ 21000 , find the total cost (marked price) of those products before the discount.

Discussion

29.	The decimal number 0.224 when expressed as a rational number is
Answer» The decimal number 0.224 when expressed as a rational number is

Discussion

30.	A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between total surface area of the two solids is ______ cm2.
Answer» A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between total surface area of the two solids is ______ cm².

Discussion

31.	The standard form of 21600000 is
Answer» The standard form of $21600000$ is

Discussion

32.	There is a rectangle having sides as 20cm and 14 cm respectively. If the length is increased by 2cm and breadth by 3 cm. The increase in area is equal to
Answer» There is a rectangle having sides as 20cm and 14 cm respectively. If the length is increased by 2cm and breadth by 3 cm. The increase in area is equal to

Discussion

33.	Question 88 A square sheet of paper is converted into a cylinder by rolling it along its side. What is the ratio of the base radius to the side of the square?
Answer» Question 88 A square sheet of paper is converted into a cylinder by rolling it along its side. What is the ratio of the base radius to the side of the square?

33.

Question 88 A square sheet of paper is converted into a cylinder by rolling it along its side. What is the ratio of the base radius to the side of the square?

Answer»

Question 88

A square sheet of paper is converted into a cylinder by rolling it along its side. What is the ratio of the base radius to the side of the square?

Discussion

34.	A pond is in the shape of a trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of a pond is 1080 m2 and the lengths of its parallel sides are 55 m and 35 m. Find the length of the bridge.
Answer» A pond is in the shape of a trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of a pond is 1080 $m^{2}$ and the lengths of its parallel sides are 55 m and 35 m. Find the length of the bridge.

Discussion

35.	A garrison of 200 men had provisions for 45 days. After 15 days, 40 more men join the garrison. Find the number of days for which the remaining food will last?
Answer» A garrison of 200 men had provisions for 45 days. After 15 days, 40 more men join the garrison. Find the number of days for which the remaining food will last?

Discussion

36.	How many kilograms of sweets worth ₹110 per kg must be mixed with 30 kg of sweets of₹ 80 per kg to produce a mixture which cost ₹100 per kg? Write with each and every step.
Answer» How many kilograms of sweets worth ₹110 per kg must be mixed with 30 kg of sweets of₹ 80 per kg to produce a mixture which cost ₹100 per kg? Write with each and every step.

Discussion

37.	Question 2(vi) Factorise 9x2y2−16
Answer» Question 2(vi) Factorise $9 x^{2} y^{2} - 16$

Discussion

38.	Two numbers are respectively 40% and 50% of a third number. What percentage is first number of the second?
Answer» Two numbers are respectively 40% and 50% of a third number. What percentage is first number of the second?

Discussion

39.	A parallelogram has two diagonals HF and EG. Choose the statement which is not correct for the parallelogram.
Answer» A parallelogram has two diagonals HF and EG. Choose the statement which is not correct for the parallelogram.

Discussion

40.	What should come in place of question mark on the basis of the above arrangement ? R 4 # M 2 B 3 $ Q ?
Answer» What should come in place of question mark on the basis of the above arrangement ? R 4 # M 2 B 3 $ Q ?

40.

What should come in place of question mark on the basis of the above arrangement ? R 4 # M 2 B 3 $ Q ?

Answer»

What should come in place of question mark on the basis of the above arrangement ?

R 4 # M 2 B 3 $ Q ?

Discussion

41.	Add -500 and -1000-500
Answer» Add -500 and -1000 -500

Discussion

42.	There is a football field. Its 4 corner flags are kept in position. A corner flag is shown in image. Is the quadrilateral representing the field defined? Why?
Answer» There is a football field. Its 4 corner flags are kept in position. A corner flag is shown in image. Is the quadrilateral representing the field defined? Why?

42.

There is a football field. Its 4 corner flags are kept in position. A corner flag is shown in image. Is the quadrilateral representing the field defined? Why?

Answer»

There is a football field. Its 4 corner flags are kept in position. A corner flag is shown in image. Is the quadrilateral representing the field defined? Why?

Discussion

43.	A sells a radio to B at a loss of 20%, B sells it to C at a loss of 30% and C sells it to D at a loss of 10%. If A pays ₹ 2000, then the Cost Price for D is :
Answer» A sells a radio to B at a loss of 20%, B sells it to C at a loss of 30% and C sells it to D at a loss of 10%. If A pays ₹ 2000, then the Cost Price for D is :

Discussion

44.	If there are 15 boys and 25 girls in a class, then the ratio of the boys : girls in the class is .
Answer» If there are 15 boys and 25 girls in a class, then the ratio of the boys : girls in the class is .

Discussion

45.	Question 4 (ii) (ii) How are pyramids and cones alike?
Answer» Question 4 (ii) (ii) How are pyramids and cones alike?

Discussion

46.	Which of the following represents the prime factorization of 24?
Answer» Which of the following represents the prime factorization of 24?

Discussion

47.	Question 105 The dimensions of a plot are 200 m x 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road, he builds houses to sell. How much area did he get for building the houses?
Answer» Question 105 The dimensions of a plot are 200 m x 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road, he builds houses to sell. How much area did he get for building the houses?

47.

Question 105 The dimensions of a plot are 200 m x 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road, he builds houses to sell. How much area did he get for building the houses?

Answer»

Question 105

The dimensions of a plot are 200 m x 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road, he builds houses to sell. How much area did he get for building the houses?

Discussion

48.	The square of −6 is equals to:
Answer» The square of $- 6$ is equals to:

Discussion

49.	Which of the following is/are factor(s) of 49p2−36?
Answer» Which of the following is/are factor(s) of $49 p^{2} - 36 ?$

Discussion

50.	28 is divided into two parts in such a way that 65 of one part is equal to 23 of the other. Find the smaller part.
Answer» 28 is divided into two parts in such a way that $\frac{6}{5}$ of one part is equal to $\frac{2}{3}$ of the other. Find the smaller part.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

By what number should (12)−1 multiplied so that the product may equal to (−47)−1 ?

If the cost of printing a book of 380 pages with 20 lines on each page and on an average 11 words in each line is ₹ 19, then the cost of printing a book with 280 pages 22 lines on each page and 10 words in each line is

X and Y are two points on equal sides AB and AC of the triangle ABC such that AX = BY then the three conditions for △AXC ≅ △AYB are

The train covers 20 km in 15 minutes. How much distance will the car cover in 15 minutes if the speed of car is 60% of the speed of the train?

A customer pays $1,100 as sales tax on a newly purchased car. What is the value of the car if sales tax is 8.8% of the value?

Factorise: (2a−3)2−2(2a−3)(a−1)+(a−1)2

Question 5(v) Obtain the product of: m,-mn,mnp

find the squaresof the following, using property of perfect square. (a) 7 (b) 15

Factorising m2+7m−60 and dividing it by (m−5) gives ___

Working 8 hours a day, Ashu can copy a book in 18 days. How many hours a day should he work so as to finish the work in 12 days?

Expand: (a - 1)2

We are given the equation x+2y=3 Statement 1: The degree of the equation is one. Statement 2 : It is a linear equation in two variable.

ABCD is a parallelogram in which ∠DAO=40∘,∠BAO=35∘ and ∠COD=65∘ . Find ∠ODC.

Construct a rhombus the lengths of whose diagonals are 6 cm and 8 cm.

Construct: (i) 2 binomials with 3 variables. (ii) 3 polynomials with 3 terms and 2 variables. (iii) 2 trinomials with x as the only variable. (iv) 3 binomials with x and y as variable. [4 MARKS]

Point (3,-2) lies in ___ quadrant.

A pipe is connected to a tank. The water flows out from the tank through the pipe at the rate of 64 m3min. Find the time taken by the pipe to empty the volume of 1024 m3. (in mins)

The volume of a cuboid p ( x ) = x cube + 13 x square + 32x + 20; find the possible expressions for dimensions of the cuboid.

In an equilateral △ABC, if △DFE is formed by joining the midpoints of the sides, the area of △DFE is ___ × the area of △ ABC.

By what number should (−6)−1 be multiplied so that the product becomes 9−1 ?

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits is 1 : 2?8

Which of these are examples of direct proportions:- (i) Total amount to the number of groceries. (ii) Time required in completing a work to number of workers doing that work. (iii) Distance covered to time when speed is constant.

Calculate the amount on ₹ 15,000 in 2 years and at 12 % compounded annually

Factorise: 25+70x+49x2

If A = {2, 4, 6, 8} and B = {2, 3, 5, 7, 9}. Which of the following is a function from A to B?

(a) In the given figure, the value of xis: [2 MARKS] Figure 1. (b) An angle is greater than 45∘. Is its complementary angle greater than 45∘ ​​​​or equal to 45∘ or less than 45∘ ?

The length, breadth and height of a cubiod is 30 cm, 25cm, 20 cm respectively. Its total surface area is

There is a sale going on in the nearby mall and all the products are available at flat 60% off. If Rohan buys products worth ₹ 21000 , find the total cost (marked price) of those products before the discount.

The decimal number 0.224 when expressed as a rational number is

A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between total surface area of the two solids is ______ cm2.

The standard form of 21600000 is

There is a rectangle having sides as 20cm and 14 cm respectively. If the length is increased by 2cm and breadth by 3 cm. The increase in area is equal to

Question 88 A square sheet of paper is converted into a cylinder by rolling it along its side. What is the ratio of the base radius to the side of the square?

A pond is in the shape of a trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of a pond is 1080 m2 and the lengths of its parallel sides are 55 m and 35 m. Find the length of the bridge.

A garrison of 200 men had provisions for 45 days. After 15 days, 40 more men join the garrison. Find the number of days for which the remaining food will last?

How many kilograms of sweets worth ₹110 per kg must be mixed with 30 kg of sweets of₹ 80 per kg to produce a mixture which cost ₹100 per kg? Write with each and every step.

Question 2(vi) Factorise 9x2y2−16

Two numbers are respectively 40% and 50% of a third number. What percentage is first number of the second?

A parallelogram has two diagonals HF and EG. Choose the statement which is not correct for the parallelogram.

What should come in place of question mark on the basis of the above arrangement ? R 4 # M 2 B 3 $ Q ?

Add -500 and -1000-500

There is a football field. Its 4 corner flags are kept in position. A corner flag is shown in image. Is the quadrilateral representing the field defined? Why?

A sells a radio to B at a loss of 20%, B sells it to C at a loss of 30% and C sells it to D at a loss of 10%. If A pays ₹ 2000, then the Cost Price for D is :

If there are 15 boys and 25 girls in a class, then the ratio of the boys : girls in the class is .

Question 4 (ii) (ii) How are pyramids and cones alike?

Which of the following represents the prime factorization of 24?

Question 105 The dimensions of a plot are 200 m x 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road, he builds houses to sell. How much area did he get for building the houses?

The square of −6 is equals to:

Which of the following is/are factor(s) of 49p2−36?

28 is divided into two parts in such a way that 65 of one part is equal to 23 of the other. Find the smaller part.

(a) In the given figure, the value of xis: [2 MARKS] Figure 1. (b) An angle is greater than 45∘. Is its complementary angle greater than 45∘ or equal to 45∘ or less than 45∘ ?