25365 + Interview Questions in Mathematics

1.	The diameters of the Sun and earth are 1.4 × 109 meters and 1.275 × 107 respectively. Compare them
Answer» The diameters of the Sun and earth are 1.4 × 10⁹ meters and 1.275 × 10⁷ respectively. Compare them

Discussion

2.	If the positions of the first and the second digits of each of the numbers are interchanged, in how many numbers thus formed will the first digit be a perfect square? (‘1’ is also a perfect square)
Answer» If the positions of the first and the second digits of each of the numbers are interchanged, in how many numbers thus formed will the first digit be a perfect square? (‘1’ is also a perfect square)

Discussion

3.	28 pumps can empty a reservoir in 18 hrs. In how many hrs can 42 such pumps can do the same work ?
Answer» 28 pumps can empty a reservoir in 18 hrs. In how many hrs can 42 such pumps can do the same work ?

Discussion

4.	How to find if a number is a perfect square or not ?
Answer» How to find if a number is a perfect square or not ?

Discussion

5.	Solve the puzzle with the help of given clues. [Hint: Write all your answers in Roman system] Across : Down : 1. 200 - 7 1. 49×3 2. 39×2 4. 11×100+91 3. 20 + 69 5. 100×2+69
Answer» Solve the puzzle with the help of given clues. [Hint: Write all your answers in Roman system] Across : Down : 1. 200 - 7 1. $49 \times 3$ 2. $39 \times 2$ 4. $11 \times 100 + 91$ 3. 20 + 69 5. $100 \times 2 + 69$

Discussion

6.	Find the area of the following field. All dimensions are in metres.
Answer» Find the area of the following field. All dimensions are in metres.

Discussion

7.	After bursting crackers, you were having food and watching Mission Impossible. It was the climax and Ethan hunt was going to land on a place as given in the figure. With a gadget he got a blue print of the place and the measurements. Find the area of the place where he can land.
Answer» After bursting crackers, you were having food and watching Mission Impossible. It was the climax and Ethan hunt was going to land on a place as given in the figure. With a gadget he got a blue print of the place and the measurements. Find the area of the place where he can land.

7.

After bursting crackers, you were having food and watching Mission Impossible. It was the climax and Ethan hunt was going to land on a place as given in the figure. With a gadget he got a blue print of the place and the measurements. Find the area of the place where he can land.

Answer»

After bursting crackers, you were having food and watching Mission Impossible. It was the climax and Ethan hunt was going to land on a place as given in the figure. With a gadget he got a blue print of the place and the measurements. Find the area of the place where he can land.

Discussion

8.	Given a man is walking in a circular park , in one revolution he completes 314 m . If there is a man in the opposite end of the diameter which is drawn from the point where the man is standing . Find the minimum distance he has to walk to meet his friend who is sitting on the described point ?
Answer» Given a man is walking in a circular park , in one revolution he completes 314 m . If there is a man in the opposite end of the diameter which is drawn from the point where the man is standing . Find the minimum distance he has to walk to meet his friend who is sitting on the described point ?

8.

Given a man is walking in a circular park , in one revolution he completes 314 m . If there is a man in the opposite end of the diameter which is drawn from the point where the man is standing . Find the minimum distance he has to walk to meet his friend who is sitting on the described point ?

Answer»

Given a man is walking in a circular park , in one revolution he completes 314 m . If there is a man

in the opposite end of the diameter which is drawn from the point where the man is standing . Find

the minimum distance he has to walk to meet his friend who is sitting on the described point ?

Discussion

9.	Two quantities were in the ratio 1 : 4. On increasing the smaller one by 6 and decreasing the Larger one by 6, The quantities are now in the ratio 7 : 13. What were the original quantities ?
Answer» Two quantities were in the ratio 1 : 4. On increasing the smaller one by 6 and decreasing the Larger one by 6, The quantities are now in the ratio 7 : 13. What were the original quantities ?

9.

Two quantities were in the ratio 1 : 4. On increasing the smaller one by 6 and decreasing the Larger one by 6, The quantities are now in the ratio 7 : 13. What were the original quantities ?

Answer»

Two quantities were in the ratio 1 : 4. On increasing the smaller one by 6 and decreasing the Larger one by 6, The quantities are now in the ratio 7 : 13.

What were the original quantities ?

Discussion

10.	Construct a quadrilateralABCDin which AB =5 cm, BC = 4 cm, CD = 6 cm and AD = 5 cm and diagonal AC = 7.8
Answer» Construct a quadrilateralABCDin which AB =5 cm, BC = 4 cm, CD = 6 cm and AD = 5 cm and diagonal AC = 7.8

Discussion

11.	Question 104(i) The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town. Write the classes assuming all the clases are of equal width.
Answer» Question 104(i) The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town. Write the classes assuming all the clases are of equal width.

11.

Question 104(i) The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town. Write the classes assuming all the clases are of equal width.

Answer»

Question 104(i)

The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.

Write the classes assuming all the clases are of equal width.

Discussion

12.	Derive the third equation of motion graphically.
Answer» Derive the third equation of motion graphically.

Discussion

13.	A field is in the shape of a quadrilateral ABCD in which side AB =18 m, side AD=24 m, side BC =40 m, DC =50 m and angle A=90∘. Find the area of the field.
Answer» A field is in the shape of a quadrilateral ABCD in which side AB =18 m, side AD=24 m, side BC =40 m, DC =50 m and angle $A = 90^{\circ}$ . Find the area of the field.

Discussion

14.	Find the value of 201 × 199
Answer» Find the value of 201 $\times$ 199

Discussion

15.	A man's age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.
Answer» A man's age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.

Discussion

16.	If x + y = 12 and xy = 14 then find the value of (x2 + y2).
Answer» If x + y = 12 and xy = 14 then find the value of (x2 + y2).

Discussion

17.	Find the height of the cylinder whose radius is 21cm and total surface area is 968cm2.
Answer» Find the height of the cylinder whose radius is $21 c m$ and total surface area is $968 c m^{2}$ .

Discussion

18.	Three numbers are in the ratio 5: 6 : 7 Find the ratio of their cubes.
Answer» Three numbers are in the ratio 5: 6 : 7 Find the ratio of their cubes.

Discussion

19.	A man invests Rs. 5000 at a certain rate of interest, compounded annually. At the end of one year, it amounts to Rs.5600. The rate of interest per annum is ___%.
Answer» A man invests Rs. 5000 at a certain rate of interest, compounded annually. At the end of one year, it amounts to Rs.5600. The rate of interest per annum is ___%.

Discussion

20.	Find the principal which will amount to Rs. 4000 in 4 years at 6.25% per annum.
Answer» Find the principal which will amount to Rs. 4000 in 4 years at 6.25% per annum.

Discussion

21.	Factorise: 2m2+20m+50.
Answer» Factorise: $2 m^{2} + 20 m + 50.$

Discussion

22.	What do we call a triangle with no sides equal?
Answer» What do we call a triangle with no sides equal?

Discussion

23.	Given that x and y are in inverse proportion, and y1,y2 are values of y corresponding to the values x1,x2 of x respectively. Which of the following is correct?
Answer» Given that $x$ and $y$ are in inverse proportion, and $y_{1}, y_{2}$ are values of $y$ corresponding to the values $x_{1}, x_{2}$ of $x$ respectively. Which of the following is correct?

Discussion

24.	Why is the square of a decimal number smaller than the original number?
Answer» Why is the square of a decimal number smaller than the original number?

Discussion

25.	120 men had provision for 200 days. After 5 days, 30 men died due to an epidemic. How long will the remaining food last?
Answer» 120 men had provision for 200 days. After 5 days, 30 men died due to an epidemic. How long will the remaining food last?

Discussion

26.	The dimensions of an oil tin are 26 cm × 26 cm × 45 cm. Find the area of the tin sheet required for making 20 such tins. If 1 square metre of the tin sheet costs Rs 10, find the cost of tin sheet used for these 20 tins.
Answer» The dimensions of an oil tin are 26 cm $\times$ 26 cm $\times$ 45 cm. Find the area of the tin sheet required for making 20 such tins. If 1 square metre of the tin sheet costs Rs 10, find the cost of tin sheet used for these 20 tins.

Discussion

27.	Question 83(i) The points on the graph below represent the height and weight of the donkey, dog, crocodile and ostrich shown in the drawing. What are the two variables represented in the graph?
Answer» Question 83(i) The points on the graph below represent the height and weight of the donkey, dog, crocodile and ostrich shown in the drawing. What are the two variables represented in the graph?

Discussion

28.	Question 1 (b) State whether true or false. (b) All rhombuses are parallelograms.
Answer» Question 1 (b) State whether true or false. (b) All rhombuses are parallelograms.

28.

Question 1 (b) State whether true or false. (b) All rhombuses are parallelograms.

Answer»

Question 1 (b)
State whether true or false.

(b) All rhombuses are parallelograms.

Discussion

29.	What is collinear points
Answer» What is collinear points

Discussion

30.	Is mother's age is 4 times as old as Rakhi after 5 years her mother will be 3 times as old as she will be then find their present ages
Answer» Is mother's age is 4 times as old as Rakhi after 5 years her mother will be 3 times as old as she will be then find their present ages

Discussion

31.	Thirty articles are bought at Rs.450 each. If one-third of these articles be sold at 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole ?
Answer» Thirty articles are bought at Rs.450 each. If one-third of these articles be sold at 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole ?

Discussion

32.	Ashok borrowed Rs.12,000 at some rate per cent compound interest. After a year, he paid back Rs. 4,000. If compound interest for the second year be Rs. 920, find : (i) the rate of interest charged (ii) the amount of debt at the end of the second year.
Answer» Ashok borrowed Rs.12,000 at some rate per cent compound interest. After a year, he paid back Rs. 4,000. If compound interest for the second year be Rs. 920, find : (i) the rate of interest charged (ii) the amount of debt at the end of the second year.

32.

Ashok borrowed Rs.12,000 at some rate per cent compound interest. After a year, he paid back Rs. 4,000. If compound interest for the second year be Rs. 920, find : (i) the rate of interest charged (ii) the amount of debt at the end of the second year.

Answer»

Ashok borrowed Rs.12,000 at some rate per cent compound interest. After a year, he paid back Rs. 4,000. If compound interest for the second year be Rs. 920, find :

(i) the rate of interest charged

(ii) the amount of debt at the end of the second year.

Discussion

33.	What sum of money lent at 6.5% per annum will produce the same interest in 3 years as Rs. 7500 produce in 6 years at 5% per annum?
Answer» What sum of money lent at 6.5% per annum will produce the same interest in 3 years as Rs. 7500 produce in 6 years at 5% per annum?

Discussion

34.	Show that zero is a rational number.
Answer» Show that zero is a rational number.

Discussion

35.	In △ABC and △XYZ, if BC = YZ, ∠ABC=∠XYZ and ∠ACB=∠XZY,, then by which postulate is △ABC≅△ZXY ?
Answer» In $△ A B C$ and $△ X Y Z$ , if BC = YZ, $∠ A B C = ∠ X Y Z$ and $∠ A C B = ∠ X Z Y,$ , then by which postulate is $△ A B C ≅ △ Z X Y$ ?

Discussion

36.	Question 55(vi) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. At what did he cover 16km of his journey?
Answer» Question 55(vi) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. At what did he cover 16km of his journey?

Discussion

37.	The surface area of a cuboid of dimensions−3m×4m×5m=–––––––––––––––m2
Answer» The surface area of a cuboid of dimensions $- 3 m \times 4 m \times 5 m = - ------------- - m^{2}$

Discussion

38.	Solve the following equation : (x−5)2−(x+2)2=−2
Answer» Solve the following equation : $(x - 5)^{2} - (x + 2)^{2} = - 2$

38.

Solve the following equation : (x−5)2−(x+2)2=−2

Answer»

Solve the following equation :

$(x - 5)^{2} - (x + 2)^{2} = - 2$

Discussion

39.	Consider the following statements regarding tax proposed in Budged 2015-16: Which of the above statement(s) is / are correct?
Answer» Consider the following statements regarding tax proposed in Budged 2015-16: Which of the above statement(s) is / are correct?

39.

Consider the following statements regarding tax proposed in Budged 2015-16: Which of the above statement(s) is / are correct?

Answer»

Consider the following statements regarding tax proposed in Budged 2015-16:

Which of the above statement(s) is / are correct?

Discussion

40.	Factorise: a3−27b3+2a2b−6ab2
Answer» Factorise: $a^{3} - 27 b^{3} + 2 a^{2} b - 6 a b^{2}$

40.

Factorise: a3−27b3+2a2b−6ab2

Answer»

Factorise:

$a^{3} - 27 b^{3} + 2 a^{2} b - 6 a b^{2}$

Discussion

41.	Cuboids can be formed by stacking [Stacking means putting objects on top of each other]
Answer» Cuboids can be formed by stacking [Stacking means putting objects on top of each other]

41.

Cuboids can be formed by stacking [Stacking means putting objects on top of each other]

Answer»

Cuboids can be formed by stacking

[Stacking means putting objects on top of each other]

Discussion

42.	Statement 1: A histogram is a graph of rectangles representing the categories of data. Statement 2: Width of the rectangles gives us the quantity of data we are interested in.
Answer» Statement 1: A histogram is a graph of rectangles representing the categories of data. Statement 2: Width of the rectangles gives us the quantity of data we are interested in.

42.

Statement 1: A histogram is a graph of rectangles representing the categories of data. Statement 2: Width of the rectangles gives us the quantity of data we are interested in.

Answer»

Statement 1: A histogram is a graph of rectangles representing the categories of data.

Statement 2: Width of the rectangles gives us the quantity of data we are interested in.

Discussion

43.	There is a square park in the society. The management wants to put a circular fountain at the centre of the park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is Rs. 20 per m2 and the cost of constructing the fountain is 10 per m2. Find the length of the field if the total cost incurred is Rs.6460 .( Use π = 22/7) ___
Answer» There is a square park in the society. The management wants to put a circular fountain at the centre of the park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is Rs. 20 per $m^{2}$ and the cost of constructing the fountain is 10 per $m^{2}$ . Find the length of the field if the total cost incurred is Rs.6460 .( Use π = 22/7) ___

43.

There is a square park in the society. The management wants to put a circular fountain at the centre of the park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is Rs. 20 per m2 and the cost of constructing the fountain is 10 per m2. Find the length of the field if the total cost incurred is Rs.6460 .( Use π = 22/7) ___

Answer»

There is a square park in the society. The management wants to put a circular fountain at the centre of the park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is Rs. 20 per $m^{2}$ and the cost of constructing the fountain is 10 per $m^{2}$ . Find the length of the field if the total cost incurred is Rs.6460 .( Use π = 22/7)

___

Discussion

44.	Question 76 State whether the following statement is true or false: The cube of a one-digit number cannot be a two-digit number.
Answer» Question 76 State whether the following statement is true or false: The cube of a one-digit number cannot be a two-digit number.

44.

Question 76 State whether the following statement is true or false: The cube of a one-digit number cannot be a two-digit number.

Answer»

Question 76

State whether the following statement is true or false:

The cube of a one-digit number cannot be a two-digit number.

Discussion

45.	If chameli had 600 left after spending 75% of her money how much did she have in the beginning
Answer» If chameli had 600 left after spending 75% of her money how much did she have in the beginning

Discussion

46.	I am not able to understand the chapter because I am not familiar with the terms used....like the equations.... Please help me out....
Answer» I am not able to understand the chapter because I am not familiar with the terms used....like the equations.... Please help me out....

Discussion

47.	By using the formula, find the amount and compound interest on: Three years ago, Beeru purchased a buffalo from Surjeet for Rs. 11000. What payment will discharge his debt now, the rate of interest being 10% per annum, compounded annually ?
Answer» By using the formula, find the amount and compound interest on: Three years ago, Beeru purchased a buffalo from Surjeet for Rs. 11000. What payment will discharge his debt now, the rate of interest being $10 %$ per annum, compounded annually ?

Discussion

48.	X amount of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. What is the value of X?
Answer» X amount of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. What is the value of X?

Discussion

49.	Solve the following question : 5(8x+3)=9(4x+7)
Answer» Solve the following question : $5 (8 x + 3) = 9 (4 x + 7)$

49.

Solve the following question : 5(8x+3)=9(4x+7)

Answer»

Solve the following question :

$5 (8 x + 3) = 9 (4 x + 7)$

Discussion

50.	In below problems, find the equation which satisfies the condition of a simple equation. a) 6x+4x3+4 b) 2t+34=42. c) 2x2+4x+2=0 [3 MARKS]
Answer» In below problems, find the equation which satisfies the condition of a simple equation. a) $6 x + \frac{4 x}{3} + 4$ b) $2 t + 34 = 42$ . c) $2 x^{2} + 4 x + 2 = 0$ [3 MARKS]

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The diameters of the Sun and earth are 1.4 × 109 meters and 1.275 × 107 respectively. Compare them

If the positions of the first and the second digits of each of the numbers are interchanged, in how many numbers thus formed will the first digit be a perfect square? (‘1’ is also a perfect square)

28 pumps can empty a reservoir in 18 hrs. In how many hrs can 42 such pumps can do the same work ?

How to find if a number is a perfect square or not ?

Solve the puzzle with the help of given clues. [Hint: Write all your answers in Roman system] Across : Down : 1. 200 - 7 1. 49×3 2. 39×2 4. 11×100+91 3. 20 + 69 5. 100×2+69

Find the area of the following field. All dimensions are in metres.

After bursting crackers, you were having food and watching Mission Impossible. It was the climax and Ethan hunt was going to land on a place as given in the figure. With a gadget he got a blue print of the place and the measurements. Find the area of the place where he can land.

Given a man is walking in a circular park , in one revolution he completes 314 m . If there is a man in the opposite end of the diameter which is drawn from the point where the man is standing . Find the minimum distance he has to walk to meet his friend who is sitting on the described point ?

Two quantities were in the ratio 1 : 4. On increasing the smaller one by 6 and decreasing the Larger one by 6, The quantities are now in the ratio 7 : 13. What were the original quantities ?

Construct a quadrilateralABCDin which AB =5 cm, BC = 4 cm, CD = 6 cm and AD = 5 cm and diagonal AC = 7.8

Question 104(i) The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town. Write the classes assuming all the clases are of equal width.

Derive the third equation of motion graphically.

A field is in the shape of a quadrilateral ABCD in which side AB =18 m, side AD=24 m, side BC =40 m, DC =50 m and angle A=90∘. Find the area of the field.

Find the value of 201 × 199

A man's age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.

If x + y = 12 and xy = 14 then find the value of (x2 + y2).

Find the height of the cylinder whose radius is 21cm and total surface area is 968cm2.

Three numbers are in the ratio 5: 6 : 7 Find the ratio of their cubes.

A man invests Rs. 5000 at a certain rate of interest, compounded annually. At the end of one year, it amounts to Rs.5600. The rate of interest per annum is ___%.

Find the principal which will amount to Rs. 4000 in 4 years at 6.25% per annum.

Factorise: 2m2+20m+50.

What do we call a triangle with no sides equal?

Given that x and y are in inverse proportion, and y1,y2 are values of y corresponding to the values x1,x2 of x respectively. Which of the following is correct?

Why is the square of a decimal number smaller than the original number?

120 men had provision for 200 days. After 5 days, 30 men died due to an epidemic. How long will the remaining food last?

The dimensions of an oil tin are 26 cm × 26 cm × 45 cm. Find the area of the tin sheet required for making 20 such tins. If 1 square metre of the tin sheet costs Rs 10, find the cost of tin sheet used for these 20 tins.

Question 83(i) The points on the graph below represent the height and weight of the donkey, dog, crocodile and ostrich shown in the drawing. What are the two variables represented in the graph?

Question 1 (b) State whether true or false. (b) All rhombuses are parallelograms.

What is collinear points

Is mother's age is 4 times as old as Rakhi after 5 years her mother will be 3 times as old as she will be then find their present ages

Thirty articles are bought at Rs.450 each. If one-third of these articles be sold at 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole ?

Ashok borrowed Rs.12,000 at some rate per cent compound interest. After a year, he paid back Rs. 4,000. If compound interest for the second year be Rs. 920, find : (i) the rate of interest charged (ii) the amount of debt at the end of the second year.

What sum of money lent at 6.5% per annum will produce the same interest in 3 years as Rs. 7500 produce in 6 years at 5% per annum?

Show that zero is a rational number.

In △ABC and △XYZ, if BC = YZ, ∠ABC=∠XYZ and ∠ACB=∠XZY,, then by which postulate is △ABC≅△ZXY ?

Question 55(vi) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. At what did he cover 16km of his journey?

The surface area of a cuboid of dimensions−3m×4m×5m=–––––––––––––––m2

Solve the following equation : (x−5)2−(x+2)2=−2

Consider the following statements regarding tax proposed in Budged 2015-16: Which of the above statement(s) is / are correct?

Factorise: a3−27b3+2a2b−6ab2

Cuboids can be formed by stacking [Stacking means putting objects on top of each other]

Statement 1: A histogram is a graph of rectangles representing the categories of data. Statement 2: Width of the rectangles gives us the quantity of data we are interested in.

Question 76 State whether the following statement is true or false: The cube of a one-digit number cannot be a two-digit number.

If chameli had 600 left after spending 75% of her money how much did she have in the beginning

I am not able to understand the chapter because I am not familiar with the terms used....like the equations.... Please help me out....

By using the formula, find the amount and compound interest on: Three years ago, Beeru purchased a buffalo from Surjeet for Rs. 11000. What payment will discharge his debt now, the rate of interest being 10% per annum, compounded annually ?

X amount of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. What is the value of X?

Solve the following question : 5(8x+3)=9(4x+7)

In below problems, find the equation which satisfies the condition of a simple equation. a) 6x+4x3+4 b) 2t+34=42. c) 2x2+4x+2=0 [3 MARKS]