25365 + Interview Questions in Mathematics

1.	In the figure given below, points A, B, C respectively lie ___ the curve, ___ the curve and ___ the curve.
Answer» In the figure given below, points A, B, C respectively lie ___ the curve, ___ the curve and ___ the curve.

1.

In the figure given below, points A, B, C respectively lie _ the curve, _ the curve and ___ the curve.

Answer»

In the figure given below, points A, B, C respectively lie ___ the curve, ___ the curve and ___ the curve.

2.	Which of the following is an irreducible expression?
Answer» Which of the following is an irreducible expression?

Discussion

3.	(−12)3=? (a)−16 (b)16 (c)18 (d)−18
Answer» ${(- \frac{1}{2})}^{3} = ?$ $(a) \frac{- 1}{6}$ $(b) \frac{1}{6}$ $(c) \frac{1}{8}$ $(d) \frac{- 1}{8}$

3.

(−12)3=? (a)−16 (b)16 (c)18 (d)−18

Answer»

${(- \frac{1}{2})}^{3} = ?$

$(a) \frac{- 1}{6}$

$(b) \frac{1}{6}$

$(c) \frac{1}{8}$

$(d) \frac{- 1}{8}$

Discussion

4.	Find the gain or loss per cent when : (i) C.P =Rs. 620 and S.P =Rs. 713 (ii) C.P =Rs. 675 and S.P =Rs. 630 (iii) C.P =Rs. 345 and S.P =Rs. 372.60 (iv) C.P =Rs. 80 and S.P =Rs. 76.80
Answer» Find the gain or loss per cent when : (i) C.P =Rs. 620 and S.P =Rs. 713 (ii) C.P =Rs. 675 and S.P =Rs. 630 (iii) C.P =Rs. 345 and S.P =Rs. 372.60 (iv) C.P =Rs. 80 and S.P =Rs. 76.80

4.

Find the gain or loss per cent when : (i) C.P =Rs. 620 and S.P =Rs. 713 (ii) C.P =Rs. 675 and S.P =Rs. 630 (iii) C.P =Rs. 345 and S.P =Rs. 372.60 (iv) C.P =Rs. 80 and S.P =Rs. 76.80

Answer»

Find the gain or loss per cent when :

(i) C.P =Rs. 620 and S.P =Rs. 713

(ii) C.P =Rs. 675 and S.P =Rs. 630

(iii) C.P =Rs. 345 and S.P =Rs. 372.60

(iv) C.P =Rs. 80 and S.P =Rs. 76.80

Discussion

5.	Find the square root of the following numbers in decimal form: 1) 84.8241
Answer» Find the square root of the following numbers in decimal form: 1) 84.8241

5.

Find the square root of the following numbers in decimal form: 1) 84.8241

Answer»

Find the square root of the following numbers in decimal form:

1) 84.8241

Discussion

6.	Write the following squares of binomials as trinomials: (i) (x+2)2 (ii) (8a+3b)2 (iii) (2m+1)2 (iv) (9a+16)2 (v) (x+x22)2 (vi) (x4−y3)2 (vii) (3x−13x)2 (viii) (xy−yx)2 (ix) (3a2−5b4)2 (x) (a2b−bc2)2 (xi) (2a3b+2b3a)2 (xii) (x2−ay)2
Answer» Write the following squares of binomials as trinomials: $(i) (x + 2)^{2}$ $(i i) (8 a + 3 b)^{2}$ $(i i i) (2 m + 1)^{2}$ $(i v) {(9 a + \frac{1}{6})}^{2}$ $(v) {(x + \frac{x^{2}}{2})}^{2}$ $(v i) {(\frac{x}{4} - \frac{y}{3})}^{2}$ $(v i i) {(3 x - \frac{1}{3 x})}^{2}$ $(v i i i) {(\frac{x}{y} - \frac{y}{x})}^{2}$ $(i x) {(\frac{3 a}{2} - \frac{5 b}{4})}^{2}$ $(x) (a^{2} b - b c^{2})^{2}$ $(x i) {(\frac{2 a}{3 b} + \frac{2 b}{3 a})}^{2}$ $(x i i) (x^{2} - a y)^{2}$

6.

Write the following squares of binomials as trinomials: (i) (x+2)2 (ii) (8a+3b)2 (iii) (2m+1)2 (iv) (9a+16)2 (v) (x+x22)2 (vi) (x4−y3)2 (vii) (3x−13x)2 (viii) (xy−yx)2 (ix) (3a2−5b4)2 (x) (a2b−bc2)2 (xi) (2a3b+2b3a)2 (xii) (x2−ay)2

Answer»

Write the following squares of binomials as trinomials:

$(i) (x + 2)^{2}$ $(i i) (8 a + 3 b)^{2}$ $(i i i) (2 m + 1)^{2}$ $(i v) {(9 a + \frac{1}{6})}^{2}$

$(v) {(x + \frac{x^{2}}{2})}^{2}$ $(v i) {(\frac{x}{4} - \frac{y}{3})}^{2}$ $(v i i) {(3 x - \frac{1}{3 x})}^{2}$ $(v i i i) {(\frac{x}{y} - \frac{y}{x})}^{2}$

$(i x) {(\frac{3 a}{2} - \frac{5 b}{4})}^{2}$ $(x) (a^{2} b - b c^{2})^{2}$ $(x i) {(\frac{2 a}{3 b} + \frac{2 b}{3 a})}^{2}$ $(x i i) (x^{2} - a y)^{2}$

Discussion

7.	State whether the statements are True or False. Question 29 The distance of the point (3,5) from the Y-axis is 5.
Answer» State whether the statements are True or False. Question 29 The distance of the point (3,5) from the Y-axis is 5.

Discussion

8.	Factorise: 8a327−b38
Answer» Factorise: $\frac{8 a^{3}}{27} - \frac{b^{3}}{8}$

8.

Factorise: 8a327−b38

Answer»

Factorise:

$\frac{8 a^{3}}{27} - \frac{b^{3}}{8}$

Discussion

9.	Is it possible to have a polyhedron with any given number of faces?
Answer» Is it possible to have a polyhedron with any given number of faces?

Discussion

10.	Question 77(i) This graph shows the percent of students who dropped out of school after completing high school. The point labelled A shown that, in 1996, about 4.7% of students dropped out. In which year was the drop out the rate highest? In which year was it the lowest?
Answer» Question 77(i) This graph shows the percent of students who dropped out of school after completing high school. The point labelled A shown that, in 1996, about 4.7% of students dropped out. In which year was the drop out the rate highest? In which year was it the lowest?

Discussion

11.	Show that -17576 is a perfect cube
Answer» Show that -17576 is a perfect cube

Discussion

12.	What is the numerical coefficient in the term −6axy2?
Answer» What is the numerical coefficient in the term $- 6 a x y^{2} ?$

Discussion

13.	Two lines have the equation: y + 2x = 14 and 3x = 2y. Find whether the two lines intersect or not. If they do, find the point of intersection. [4 MARKS]
Answer» Two lines have the equation: y + 2x = 14 and 3x = 2y. Find whether the two lines intersect or not. If they do, find the point of intersection. [4 MARKS]

Discussion

14.	The C.I. to be paid when a sum of ₹ 4,000 is taken for one year at 6% per annum compounded semi annually is (Calculator may be used for calculations)
Answer» The C.I. to be paid when a sum of ₹ 4,000 is taken for one year at 6% per annum compounded semi annually is (Calculator may be used for calculations)

14.

The C.I. to be paid when a sum of ₹ 4,000 is taken for one year at 6% per annum compounded semi annually is (Calculator may be used for calculations)

Answer»

The C.I. to be paid when a sum of ₹ 4,000 is taken for one year at 6% per annum compounded semi annually is

(Calculator may be used for calculations)

Discussion

15.	Question 50 Histogram given below shows the number of people owning the different number of books. Answer 47 to 50 based on it. The number of people having books more than 20 and less than 40 are ___
Answer» Question 50 Histogram given below shows the number of people owning the different number of books. Answer 47 to 50 based on it. The number of people having books more than 20 and less than 40 are ___

15.

Question 50 Histogram given below shows the number of people owning the different number of books. Answer 47 to 50 based on it. The number of people having books more than 20 and less than 40 are ___

Answer»

Question 50

Histogram given below shows the number of people owning the different number of books. Answer 47 to 50 based on it.

The number of people having books more than 20 and less than 40 are ___

Discussion

16.	A coin is thrown and it lands on a chess board. Find the probability of it landing on a white square if it falls exactly inside a square.
Answer» A coin is thrown and it lands on a chess board. Find the probability of it landing on a white square if it falls exactly inside a square.

Discussion

17.	Kamala borrowed Rs. 26400 from a bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years to clear the loan?
Answer» Kamala borrowed Rs. 26400 from a bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years to clear the loan?

Discussion

18.	Question 32 The value of (a+b)2+(a−b)2 is a) 2a+2b b) 2a−2b c) 2a2+2b2 a) 2a2+2b2
Answer» Question 32 The value of $(a + b)^{2} + (a - b)^{2}$ is a) $2 a + 2 b$ b) $2 a - 2 b$ c) $2 a^{2} + 2 b^{2}$ a) $2 a^{2} + 2 b^{2}$

Discussion

19.	The diameter of the wheel of a vehicle is 5m. It makes one revolution in 9 seconds. What is speed of the vehicle in km/h?
Answer» The diameter of the wheel of a vehicle is 5m. It makes one revolution in 9 seconds. What is speed of the vehicle in km/h?

Discussion

20.	Question 72 In the following question, state whether the given statements are true (T) or false (F). (−4)−4×(4)−1=(4)5
Answer» Question 72 In the following question, state whether the given statements are true (T) or false (F). $(- 4)^{- 4} \times (4)^{- 1} = (4)^{5}$

20.

Question 72 In the following question, state whether the given statements are true (T) or false (F). (−4)−4×(4)−1=(4)5

Answer»

Question 72

In the following question, state whether the given statements are true (T) or false (F).

$(- 4)^{- 4} \times (4)^{- 1} = (4)^{5}$

Discussion

21.	Question 1(ii) Multiply the binomials: (y-8) and ( 3y-4)
Answer» Question 1(ii) Multiply the binomials: (y-8) and ( 3y-4)

Discussion

22.	Question 48 In the question given below, fill in the blanks to make the statement true: 672−372=(67−37)× ___ = ___
Answer» Question 48 In the question given below, fill in the blanks to make the statement true: $67^{2} - 37^{2} = (67 - 37) \times$ ___ = ___

Discussion

23.	A toy has a hemispherical base with a conical top attached to it. Radius of the hemisphere = 6 cm. Height of the cone = 8 cm. What is the surface area of the toy?
Answer» A toy has a hemispherical base with a conical top attached to it. Radius of the hemisphere = 6 cm. Height of the cone = 8 cm. What is the surface area of the toy?

Discussion

24.	If two ratios are equal, then we say that they are ___
Answer» If two ratios are equal, then we say that they are ___

Discussion

25.	Simple interest on a certain sum at the rate of 10% per annum for 6 years and 7 years differs by ₹ 650. Find the sum.
Answer» Simple interest on a certain sum at the rate of $10 %$ per annum for 6 years and 7 years differs by ₹ 650. Find the sum.

Discussion

26.	Lowest form of x4+x3y+x2y2x3−y3
Answer» Lowest form of $\frac{x^{4} + x^{3} y + x^{2} y^{2}}{x^{3} - y^{3}}$

Discussion

27.	The sum of three executive multiples of 8 is 888 find these multiples
Answer» The sum of three executive multiples of 8 is 888 find these multiples

Discussion

28.	A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs. 1104.
Answer» A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs. 1104.

Discussion

29.	Half of the herd of Deer are grazing in the field and three fourth of the remaining are playing nearby. the rest are drinking water from the pond. find the number of the year in the herd.
Answer» Half of the herd of Deer are grazing in the field and three fourth of the remaining are playing nearby. the rest are drinking water from the pond. find the number of the year in the herd.

Discussion

30.	Question 1(v) Use a suitable identity to get each of the following products: (1.1m – 0.4 ) (1.1m + 0.4 )
Answer» Question 1(v) Use a suitable identity to get each of the following products: (1.1m – 0.4 ) (1.1m + 0.4 )

Discussion

31.	simplify using suitable identity: (-32)3+(14)3+(18)*3
Answer» simplify using suitable identity: (-32)3+(14)3+(18)*3

Discussion

32.	A shopkeeper marks the price of cold cream at ₹ 80. After allowing a discount of 10% he still gains 20% on the cost price. Find the cost price.
Answer» A shopkeeper marks the price of cold cream at ₹ 80. After allowing a discount of 10% he still gains 20% on the cost price. Find the cost price.

Discussion

33.	Question 160(iv) For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Answer» Question 160(iv) For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

33.

Question 160(iv) For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Answer»

Question 160(iv)

For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Discussion

34.	Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary. Statement 2: When two lines intersect each other, angles forming linear pair are supplementary. Choose the correct option.
Answer» Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary. Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary. Choose the correct option.

34.

Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary. Statement 2: When two lines intersect each other, angles forming linear pair are supplementary. Choose the correct option.

Answer»

Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose the correct option.

Discussion

35.	When we add zero to a whole number, the sum changes to___________
Answer» When we add zero to a whole number, the sum changes to___________

Discussion

36.	Evaluate the below expression using identities: (b−7)2
Answer» Evaluate the below expression using identities: $(b - 7)^{2}$

Discussion

37.	Which of the following are concave polygons?
Answer» Which of the following are concave polygons?

Discussion

38.	Question 9. There are 500 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?
Answer» Question 9. There are 500 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?

Discussion

39.	Find the equation of the circle passing through the point (4,1) and (6,5) and whose centre is on the line 4x+y = 16
Answer» Find the equation of the circle passing through the point (4,1) and (6,5) and whose centre is on the line 4x+y = 16

Discussion

40.	If 75% of a number is added to 75, then the result is the number itself. Find the number.300
Answer» If $75 %$ of a number is added to 75, then the result is the number itself. Find the number. 300

Discussion

41.	Question 6 Three consecutive integers add up to 51. What are these integers?
Answer» Question 6 Three consecutive integers add up to 51. What are these integers?

Discussion

42.	Question 35 Fill in the blanks to make the statement true. If a pyramid has a hexagonal base, then the number of vertices is ___.
Answer» Question 35 Fill in the blanks to make the statement true. If a pyramid has a hexagonal base, then the number of vertices is ___.

Discussion

43.	Arrange each in ascending order : π ,22/7,21/6,6/21,6/22,10/3
Answer» Arrange each in ascending order : π ,22/7,21/6,6/21,6/22,10/3

Discussion

44.	Find the parametric equation of the circle x2 + y2 − 2x + 4y − 11 = 0
Answer» Find the parametric equation of the circle $x^{2} + y^{2} - 2 x + 4 y - 11 = 0$

Discussion

45.	If 3x+4y=18 and xy=6, find the value of 9x2+16y2.
Answer» If $3 x + 4 y = 18$ and $x y = 6,$ find the value of $9 x^{2} + 16 y^{2} .$

Discussion

46.	Using identity, evaluate (x - 3)(x + 3).
Answer» Using identity, evaluate (x - 3)(x + 3).

Discussion

47.	Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 CM if one of its diagonal is 8 cm long find the length of the Other diagonal
Answer» Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 CM if one of its diagonal is 8 cm long find the length of the Other diagonal

Discussion

48.	How to find the cube root of a complicated number easily?
Answer» How to find the cube root of a complicated number easily?

Discussion

49.	find cube root by estimation 5832
Answer» find cube root by estimation 5832

Discussion

50.	Study the following graph carefully and answer the questions given below it. Q20. The number of A-type employees in 1998 was approximately what percent of the number of A type of employees in 1997?
Answer» Study the following graph carefully and answer the questions given below it. Q20. The number of A-type employees in 1998 was approximately what percent of the number of A type of employees in 1997?

50.

Study the following graph carefully and answer the questions given below it. Q20. The number of A-type employees in 1998 was approximately what percent of the number of A type of employees in 1997?

Answer»

Study the following graph carefully and answer the questions given below it.

Q20. The number of A-type employees in 1998 was approximately what percent of the number of A type of employees in 1997?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In the figure given below, points A, B, C respectively lie ___ the curve, ___ the curve and ___ the curve.

Which of the following is an irreducible expression?

(−12)3=? (a)−16 (b)16 (c)18 (d)−18

Find the gain or loss per cent when : (i) C.P =Rs. 620 and S.P =Rs. 713 (ii) C.P =Rs. 675 and S.P =Rs. 630 (iii) C.P =Rs. 345 and S.P =Rs. 372.60 (iv) C.P =Rs. 80 and S.P =Rs. 76.80

Find the square root of the following numbers in decimal form: 1) 84.8241

Write the following squares of binomials as trinomials: (i) (x+2)2 (ii) (8a+3b)2 (iii) (2m+1)2 (iv) (9a+16)2 (v) (x+x22)2 (vi) (x4−y3)2 (vii) (3x−13x)2 (viii) (xy−yx)2 (ix) (3a2−5b4)2 (x) (a2b−bc2)2 (xi) (2a3b+2b3a)2 (xii) (x2−ay)2

State whether the statements are True or False. Question 29 The distance of the point (3,5) from the Y-axis is 5.

Factorise: 8a327−b38

Is it possible to have a polyhedron with any given number of faces?

Question 77(i) This graph shows the percent of students who dropped out of school after completing high school. The point labelled A shown that, in 1996, about 4.7% of students dropped out. In which year was the drop out the rate highest? In which year was it the lowest?

Show that -17576 is a perfect cube

What is the numerical coefficient in the term −6axy2?

Two lines have the equation: y + 2x = 14 and 3x = 2y. Find whether the two lines intersect or not. If they do, find the point of intersection. [4 MARKS]

The C.I. to be paid when a sum of ₹ 4,000 is taken for one year at 6% per annum compounded semi annually is (Calculator may be used for calculations)

Question 50 Histogram given below shows the number of people owning the different number of books. Answer 47 to 50 based on it. The number of people having books more than 20 and less than 40 are ___

A coin is thrown and it lands on a chess board. Find the probability of it landing on a white square if it falls exactly inside a square.

Kamala borrowed Rs. 26400 from a bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years to clear the loan?

Question 32 The value of (a+b)2+(a−b)2 is a) 2a+2b b) 2a−2b c) 2a2+2b2 a) 2a2+2b2

The diameter of the wheel of a vehicle is 5m. It makes one revolution in 9 seconds. What is speed of the vehicle in km/h?

Question 72 In the following question, state whether the given statements are true (T) or false (F). (−4)−4×(4)−1=(4)5

Question 1(ii) Multiply the binomials: (y-8) and ( 3y-4)

Question 48 In the question given below, fill in the blanks to make the statement true: 672−372=(67−37)× ___ = ___

A toy has a hemispherical base with a conical top attached to it. Radius of the hemisphere = 6 cm. Height of the cone = 8 cm. What is the surface area of the toy?

If two ratios are equal, then we say that they are ___

Simple interest on a certain sum at the rate of 10% per annum for 6 years and 7 years differs by ₹ 650. Find the sum.

Lowest form of x4+x3y+x2y2x3−y3

The sum of three executive multiples of 8 is 888 find these multiples

A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs. 1104.

Half of the herd of Deer are grazing in the field and three fourth of the remaining are playing nearby. the rest are drinking water from the pond. find the number of the year in the herd.

Question 1(v) Use a suitable identity to get each of the following products: (1.1m – 0.4 ) (1.1m + 0.4 )

simplify using suitable identity: (-32)*3+(14)*3+(18)*3

A shopkeeper marks the price of cold cream at ₹ 80. After allowing a discount of 10% he still gains 20% on the cost price. Find the cost price.

Question 160(iv) For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary. Statement 2: When two lines intersect each other, angles forming linear pair are supplementary. Choose the correct option.

When we add zero to a whole number, the sum changes to___________

Evaluate the below expression using identities: (b−7)2

Which of the following are concave polygons?

Question 9. There are 500 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?

Find the equation of the circle passing through the point (4,1) and (6,5) and whose centre is on the line 4x+y = 16

If 75% of a number is added to 75, then the result is the number itself. Find the number.300

Question 6 Three consecutive integers add up to 51. What are these integers?

Question 35 Fill in the blanks to make the statement true. If a pyramid has a hexagonal base, then the number of vertices is ___.

Arrange each in ascending order : π ,22/7,21/6,6/21,6/22,10/3

Find the parametric equation of the circle x2 + y2 − 2x + 4y − 11 = 0

If 3x+4y=18 and xy=6, find the value of 9x2+16y2.

Using identity, evaluate (x - 3)(x + 3).

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 CM if one of its diagonal is 8 cm long find the length of the Other diagonal

How to find the cube root of a complicated number easily?

find cube root by estimation 5832

Study the following graph carefully and answer the questions given below it. Q20. The number of A-type employees in 1998 was approximately what percent of the number of A type of employees in 1997?

In the figure given below, points A, B, C respectively lie _ the curve, _ the curve and ___ the curve.

Question 48 In the question given below, fill in the blanks to make the statement true: 672−372=(67−37)× _ = _

simplify using suitable identity: (-32)3+(14)3+(18)*3