25365 + Interview Questions in Mathematics

1.	Identify the base: 53 Base: ___
Answer» Identify the base: $5^{3}$ Base: ___

Discussion

2.	X1234Y10203040 What would be the constant that defines the value XY?
Answer» $\begin{matrix} X & 1 & 2 & 3 & 4 Y & 10 & 20 & 30 & 40 \end{matrix}$ What would be the constant that defines the value $\frac{X}{Y}$ ?

Discussion

3.	Aju starts from his home and walks x meters in the north direction. After that, he turns right and walks another x meters. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m2. What is x?
Answer» Aju starts from his home and walks x meters in the north direction. After that, he turns right and walks another x meters. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m². What is x?

Discussion

4.	In the given figure, if XY=6 cm and ∠XOY=∠MON=85∘, then the length of the chord MN is ___cm. 6
Answer» In the given figure, if $X Y = 6 c m$ and $∠ X O Y = ∠ M O N = 85^{\circ}$ , then the length of the chord MN is ___cm. 6

Discussion

5.	Factorize : (a^2-b^2)(c^2-d^2)-4abcd
Answer» Factorize : (a^2-b^2)(c^2-d^2)-4abcd

Discussion

6.	Question 2(iii) Divide the given polynomial by the given monomial 8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2
Answer» Question 2(iii) Divide the given polynomial by the given monomial $8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}$

Discussion

7.	A general wishing to draw up 64019 men inthe front of a solid square found that he had 10 men over. Find the number of men in the front row.
Answer» A general wishing to draw up 64019 men inthe front of a solid square found that he had 10 men over. Find the number of men in the front row.

Discussion

8.	Find the length of a diagonal of a rectangle whose sides are 12 cm and 5 cm.
Answer» Find the length of a diagonal of a rectangle whose sides are 12 cm and 5 cm.

Discussion

9.	Question 3(vi) Find the following squares by using identities: (2xy+5y)2
Answer» Question 3(vi) Find the following squares by using identities: $(2 x y + 5 y)^{2}$

Discussion

10.	What is the relation between opposite angles of a parallelogram?
Answer» What is the relation between opposite angles of a parallelogram?

Discussion

11.	Question 7(iv) Can there be a time-temperature graph as follows? Justify your answer.
Answer» Question 7(iv) Can there be a time-temperature graph as follows? Justify your answer.

Discussion

12.	The distance between two stations is 300 km. Two cars start simultaneously from these stations and move towards each other . The speed of one of them is 7 km/h more than that of the other. If the distance between them after 2 hours of their start is 34 km. Find the speed of each car.
Answer» The distance between two stations is 300 km. Two cars start simultaneously from these stations and move towards each other . The speed of one of them is 7 km/h more than that of the other. If the distance between them after 2 hours of their start is 34 km. Find the speed of each car.

Discussion

13.	In a circular table cover of radius 12 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in figure. Find the area of the design. [4 MARKS]
Answer» In a circular table cover of radius 12 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in figure. Find the area of the design. [4 MARKS]

13.

In a circular table cover of radius 12 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in figure. Find the area of the design. [4 MARKS]

Answer»

In a circular table cover of radius 12 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in figure. Find the area of the design. [4 MARKS]

Discussion

14.	Which of the following is the coordinate of the origin?
Answer» Which of the following is the coordinate of the origin?

Discussion

15.	If we plot the following data, what kind of graph do we get? Distance covered (in kms) 80100120140160180Time taken (in hrs)468101214
Answer» If we plot the following data, what kind of graph do we get? $\begin{matrix} Distance covered (in kms) & 80 & 100 & 120 & 140 & 160 & 180 Time taken (in hrs) & 4 & 6 & 8 & 10 & 12 & 14 \end{matrix}$

Discussion

16.	Neha deposited Rs. 30000 in a bank at a rate of 12% p.a for 3 years. How much interest does she get every year?
Answer» Neha deposited Rs. 30000 in a bank at a rate of 12% p.a for 3 years. How much interest does she get every year?

Discussion

17.	Find the volume of a cube whose surface area is 150m².
Answer» Find the volume of a cube whose surface area is 150m².

Discussion

18.	Question 6 (i) Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 112 Years if the interest is: (i) Compounded annually
Answer» Question 6 (i) Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after $1 \frac{1}{2}$ Years if the interest is: (i) Compounded annually

Discussion

19.	Dealer marks his goods at 35% above the cost price and allows a discount of 20% on the Marked price. Find his gain or loss percent.
Answer» Dealer marks his goods at 35% above the cost price and allows a discount of 20% on the Marked price. Find his gain or loss percent.

Discussion

20.	Sarita allows 10% discount on the marked price of her goods marked at ₹1250.find the selling price of the goods after discount
Answer» Sarita allows 10% discount on the marked price of her goods marked at ₹1250.find the selling price of the goods after discount

Discussion

21.	State which of the following relations are mapping?
Answer» State which of the following relations are mapping?

Discussion

22.	Which of the following is the correct expansion of the given identity? (a2−b2)
Answer» Which of the following is the correct expansion of the given identity? $(a^{2} - b^{2})$

Discussion

23.	For the cylinder below, Lateral Surface Area(LSA)= Total Surface Area(TSA)=
Answer» For the cylinder below, Lateral Surface Area(LSA)= Total Surface Area(TSA)=

Discussion

24.	On a certain sum of money, the difference between the C.I. for a year payable half yearly and the S.I. for a year is Rs.180. Find the sum lent out, if the rate in both the cases is 10%.
Answer» On a certain sum of money, the difference between the C.I. for a year payable half yearly and the S.I. for a year is Rs.180. Find the sum lent out, if the rate in both the cases is 10%.

Discussion

25.	What is the width of the class interval 200 - 225?
Answer» What is the width of the class interval 200 - 225?

Discussion

26.	The value of 3√√0.000064
Answer» The value of $\sqrt[3]{\sqrt{0.000064}}$

Discussion

27.	Twenty years from now, Arjun will become three times as old as he is now. His present age is ___ yrs.
Answer» Twenty years from now, Arjun will become three times as old as he is now. His present age is ___ yrs.

Discussion

28.	How many parameters are sufficient to construct a rectangle?
Answer» How many parameters are sufficient to construct a rectangle?

Discussion

29.	A right angle triangle of base 4 cm and height 3 cm is rotated about its height. The curved surface area and volume of the solid obtained are _____ (in cm2) and _____ (in cm3) respectively.
Answer» A right angle triangle of base 4 cm and height 3 cm is rotated about its height. The curved surface area and volume of the solid obtained are _____ ( $i n c m^{2}$ ) and _____ ( $i n c m^{3}$ ) respectively.

Discussion

30.	A rectangular paper of width 42 cm is rolled along its length and a cylinder of radius 20 cm is formed. Find the volume of the cylinder.
Answer» A rectangular paper of width 42 cm is rolled along its length and a cylinder of radius 20 cm is formed. Find the volume of the cylinder.

Discussion

31.	Question 114 A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.
Answer» Question 114 A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.

31.

Question 114 A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.

Answer»

Question 114

A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.

Discussion

32.	In the following table, the number of villains caught by BATMAN and SUPERMAN during a week is given. Whose daily average is more and how much is it?
Answer» In the following table, the number of villains caught by BATMAN and SUPERMAN during a week is given. Whose daily average is more and how much is it?

32.

In the following table, the number of villains caught by BATMAN and SUPERMAN during a week is given. Whose daily average is more and how much is it?

Answer»

In the following table, the number of villains caught by BATMAN and SUPERMAN during a week is given. Whose daily average is more and how much is it?

Discussion

33.	If an angle of a parallelogram is two-third its adjacent angle, then the smallest angle of the parallelogram is
Answer» If an angle of a parallelogram is two-third its adjacent angle, then the smallest angle of the parallelogram is

Discussion

34.	The population of a village is 20000. If the annual birth rate is 4% and the annual death rate 2%, calculate the population after two years. [4 MARKS]
Answer» The population of a village is 20000. If the annual birth rate is $4 %$ and the annual death rate $2 %$ , calculate the population after two years. [4 MARKS]

Discussion

35.	Find the cube root of 0.004913 [4 MARKS]
Answer» Find the cube root of 0.004913 [4 MARKS]

Discussion

36.	Determine the type of proportionality between variables x and y in the equation y = x2 - 2.
Answer» Determine the type of proportionality between variables x and y in the equation y = $x^{2}$ - 2.

Discussion

37.	Question 25 Which of the following statements is always true? (a) x−y2 is a rational number between x and y. (b) x+y2 is a rational number between x and y. (c) x∗y2 is a rational number between x and y. (d) x/y2 is a rational number between x and y.
Answer» Question 25 Which of the following statements is always true? (a) $\frac{x - y}{2}$ is a rational number between x and y. (b) $\frac{x + y}{2}$ is a rational number between x and y. (c) $\frac{x * y}{2}$ is a rational number between x and y. (d) $\frac{x / y}{2}$ is a rational number between x and y.

Discussion

38.	Prove that the midpoints of the adjacent sides of a rectangle will form a rhombus. [4 MARKS]
Answer» Prove that the midpoints of the adjacent sides of a rectangle will form a rhombus. [4 MARKS]

Discussion

39.	The value of 362−352 is ___
Answer» The value of $36^{2} - 35^{2}$ is ___

Discussion

40.	If a regular polygon has n sides, then the sum of its exterior angles is
Answer» If a regular polygon has n sides, then the sum of its exterior angles is

Discussion

41.	Calculate the number of sides of a regular polygon, if : (i) its interior angle is five times its exterior angle. (ii) the ratio between its exterior angle and interior angle is 2 : 7. (iii) its exterior angle exceeds its interior angle by 60o.
Answer» Calculate the number of sides of a regular polygon, if : (i) its interior angle is five times its exterior angle. (ii) the ratio between its exterior angle and interior angle is 2 : 7. (iii) its exterior angle exceeds its interior angle by $60^{o}$ .

41.

Calculate the number of sides of a regular polygon, if : (i) its interior angle is five times its exterior angle. (ii) the ratio between its exterior angle and interior angle is 2 : 7. (iii) its exterior angle exceeds its interior angle by 60o.

Answer»

Calculate the number of sides of a regular polygon, if :

(i) its interior angle is five times its exterior angle.

(ii) the ratio between its exterior angle and interior angle is 2 : 7.

(iii) its exterior angle exceeds its interior angle by $60^{o}$ .

Discussion

42.	Given, A = {Triangles},B={Isosceles triangles},C={Equilateral triangles}. State whether the following are true or false. Give reasons. (i)A ⊂ B (ii)B ⊆ A (iii) C ⊆ B (iv)B ⊆ A (v)C⊂A (vi)C ⊆ B ⊆ A
Answer» Given, A = ${T r i a n g l e s}$ ,B= ${I s o s c e l e s t r i a n g l e s}$ ,C= ${E q u i l a t e r a l t r i a n g l e s}$ . State whether the following are true or false. Give reasons. (i) $A \subset B$ (ii) $B \subseteq A$ (iii) $C \subseteq B$ (iv) $B \subseteq A$ (v) $C \subset A$ (vi) $C \subseteq B \subseteq A$

Discussion

43.	If 3√412125=x, then the value x is:
Answer» If $\sqrt[3]{4 \frac{12}{125}} = x$ , then the value x is:

Discussion

44.	What is the name of a polyhedron for which the base is a polygon and all lateral surfaces are triangles?
Answer» What is the name of a polyhedron for which the base is a polygon and all lateral surfaces are triangles?

Discussion

45.	Statement1: Profit is defined as the positive difference between selling price(S.P) and cost price(C.P) when ( S.P > C.P). Statement 2: Loss is found when (C.P > S.P)
Answer» Statement1: Profit is defined as the positive difference between selling price(S.P) and cost price(C.P) when ( S.P > C.P). Statement 2: Loss is found when (C.P > S.P)

45.

Statement1: Profit is defined as the positive difference between selling price(S.P) and cost price(C.P) when ( S.P > C.P). Statement 2: Loss is found when (C.P > S.P)

Answer»

Statement1: Profit is defined as the positive difference between selling price(S.P) and cost price(C.P) when ( S.P > C.P).

Statement 2: Loss is found when (C.P > S.P)

Discussion

46.	The number 8,000 is first increased by 20% and then decreased by 20%. Find the resulting number.
Answer» The number 8,000 is first increased by 20% and then decreased by 20%. Find the resulting number.

Discussion

47.	The price of petrol goes up by 10%. By how much percent must a motorist reduce the compsumption of petrol so that the expenditure on it remains unchanged?
Answer» The price of petrol goes up by 10%. By how much percent must a motorist reduce the compsumption of petrol so that the expenditure on it remains unchanged?

Discussion

48.	What is pythogras triplet?
Answer» What is pythogras triplet?

Discussion

49.	(−34)2=? (a)−916 (b)916 (c)169 (d)−169
Answer» ${(\frac{- 3}{4})}^{2} = ?$ $(a) \frac{- 9}{16}$ $(b) \frac{9}{16}$ $(c) \frac{16}{9}$ $(d) \frac{- 16}{9}$

49.

(−34)2=? (a)−916 (b)916 (c)169 (d)−169

Answer»

${(\frac{- 3}{4})}^{2} = ?$

$(a) \frac{- 9}{16}$

$(b) \frac{9}{16}$

$(c) \frac{16}{9}$

$(d) \frac{- 16}{9}$

Discussion

50.	Draw the temperature-times graph in each of the following cases: (i) Time (in hours):7:009:0011:0013:0015:0017:0019:0021:00Temperature in (∘F):1001011041021009910098 (ii)Time (in hours):8:0010:0012:0014:0016:0018:0020:00Temperature in (∘F):1001011041039998100
Answer» Draw the temperature-times graph in each of the following cases: (i) $\begin{matrix} Time (in hours) : & 7 : 00 & 9 : 00 & 11 : 00 & 13 : 00 & 15 : 00 & 17 : 00 & 19 : 00 & 21 : 00 Temperature in (^{\circ} F) : & 100 & 101 & 104 & 102 & 100 & 99 & 100 & 98 \end{matrix}$ (ii) $\begin{matrix} Time (in hours) : & 8 : 00 & 10 : 00 & 12 : 00 & 14 : 00 & 16 : 00 & 18 : 00 & 20 : 00 Temperature in (^{\circ} F) : & 100 & 101 & 104 & 103 & 99 & 98 & 100 \end{matrix}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Identify the base: 53 Base: ___

X1234Y10203040 What would be the constant that defines the value XY?

Aju starts from his home and walks x meters in the north direction. After that, he turns right and walks another x meters. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m2. What is x?

In the given figure, if XY=6 cm and ∠XOY=∠MON=85∘, then the length of the chord MN is ___cm. 6

Factorize : (a^2-b^2)(c^2-d^2)-4abcd

Question 2(iii) Divide the given polynomial by the given monomial 8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2

A general wishing to draw up 64019 men inthe front of a solid square found that he had 10 men over. Find the number of men in the front row.

Find the length of a diagonal of a rectangle whose sides are 12 cm and 5 cm.

Question 3(vi) Find the following squares by using identities: (2xy+5y)2

What is the relation between opposite angles of a parallelogram?

Question 7(iv) Can there be a time-temperature graph as follows? Justify your answer.

The distance between two stations is 300 km. Two cars start simultaneously from these stations and move towards each other . The speed of one of them is 7 km/h more than that of the other. If the distance between them after 2 hours of their start is 34 km. Find the speed of each car.

In a circular table cover of radius 12 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in figure. Find the area of the design. [4 MARKS]

Which of the following is the coordinate of the origin?

If we plot the following data, what kind of graph do we get? Distance covered (in kms) 80100120140160180Time taken (in hrs)468101214

Neha deposited Rs. 30000 in a bank at a rate of 12% p.a for 3 years. How much interest does she get every year?

Find the volume of a cube whose surface area is 150m².

Question 6 (i) Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 112 Years if the interest is: (i) Compounded annually

Dealer marks his goods at 35% above the cost price and allows a discount of 20% on the Marked price. Find his gain or loss percent.

Sarita allows 10% discount on the marked price of her goods marked at ₹1250.find the selling price of the goods after discount

State which of the following relations are mapping?

Which of the following is the correct expansion of the given identity? (a2−b2)

For the cylinder below, Lateral Surface Area(LSA)= Total Surface Area(TSA)=

On a certain sum of money, the difference between the C.I. for a year payable half yearly and the S.I. for a year is Rs.180. Find the sum lent out, if the rate in both the cases is 10%.

What is the width of the class interval 200 - 225?

The value of 3√√0.000064

Twenty years from now, Arjun will become three times as old as he is now. His present age is ___ yrs.

How many parameters are sufficient to construct a rectangle?

A right angle triangle of base 4 cm and height 3 cm is rotated about its height. The curved surface area and volume of the solid obtained are _____ (in cm2) and _____ (in cm3) respectively.

A rectangular paper of width 42 cm is rolled along its length and a cylinder of radius 20 cm is formed. Find the volume of the cylinder.

Question 114 A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.

In the following table, the number of villains caught by BATMAN and SUPERMAN during a week is given. Whose daily average is more and how much is it?

If an angle of a parallelogram is two-third its adjacent angle, then the smallest angle of the parallelogram is

The population of a village is 20000. If the annual birth rate is 4% and the annual death rate 2%, calculate the population after two years. [4 MARKS]

Find the cube root of 0.004913 [4 MARKS]

Determine the type of proportionality between variables x and y in the equation y = x2 - 2.

Question 25 Which of the following statements is always true? (a) x−y2 is a rational number between x and y. (b) x+y2 is a rational number between x and y. (c) x∗y2 is a rational number between x and y. (d) x/y2 is a rational number between x and y.

Prove that the midpoints of the adjacent sides of a rectangle will form a rhombus. [4 MARKS]

The value of 362−352 is ___

If a regular polygon has n sides, then the sum of its exterior angles is

Calculate the number of sides of a regular polygon, if : (i) its interior angle is five times its exterior angle. (ii) the ratio between its exterior angle and interior angle is 2 : 7. (iii) its exterior angle exceeds its interior angle by 60o.

Given, A = {Triangles},B={Isosceles triangles},C={Equilateral triangles}. State whether the following are true or false. Give reasons. (i)A ⊂ B (ii)B ⊆ A (iii) C ⊆ B (iv)B ⊆ A (v)C⊂A (vi)C ⊆ B ⊆ A

If 3√412125=x, then the value x is:

What is the name of a polyhedron for which the base is a polygon and all lateral surfaces are triangles?

Statement1: Profit is defined as the positive difference between selling price(S.P) and cost price(C.P) when ( S.P &gt; C.P). Statement 2: Loss is found when (C.P &gt; S.P)

The number 8,000 is first increased by 20% and then decreased by 20%. Find the resulting number.

The price of petrol goes up by 10%. By how much percent must a motorist reduce the compsumption of petrol so that the expenditure on it remains unchanged?

What is pythogras triplet?

(−34)2=? (a)−916 (b)916 (c)169 (d)−169

Draw the temperature-times graph in each of the following cases: (i) Time (in hours):7:009:0011:0013:0015:0017:0019:0021:00Temperature in (∘F):1001011041021009910098 (ii)Time (in hours):8:0010:0012:0014:0016:0018:0020:00Temperature in (∘F):1001011041039998100

A right angle triangle of base 4 cm and height 3 cm is rotated about its height. The curved surface area and volume of the solid obtained are _ (in cm2) and _ (in cm3) respectively.

Statement1: Profit is defined as the positive difference between selling price(S.P) and cost price(C.P) when ( S.P > C.P). Statement 2: Loss is found when (C.P > S.P)