25365 + Interview Questions in Mathematics

1.	Last year my age was a square number. Next year my age will be cube number. What is my age ?
Answer» Last year my age was a square number. Next year my age will be cube number. What is my age ?

Discussion

2.	Define linear equation in one variable.
Answer» Define linear equation in one variable.

Discussion

3.	A parallelogram can be constructed uniquely if
Answer» A parallelogram can be constructed uniquely if

Discussion

4.	The perimeter of a square whose area is 4.41 m2 is ___ m.
Answer» The perimeter of a square whose area is $4.41 m^{2}$ is ___ m.

Discussion

5.	Question 111 (ii) What will happen to the volume of the cube, if its edge is reduced to one-fourth?
Answer» Question 111 (ii) What will happen to the volume of the cube, if its edge is reduced to one-fourth?

5.

Question 111 (ii) What will happen to the volume of the cube, if its edge is reduced to one-fourth?

Answer»

Question 111 (ii)

What will happen to the volume of the cube, if its edge is reduced to one-fourth?

Discussion

6.	Consider a seating plan of students in an auditorium. Push all the seats together and represent each seat with a square. Each square describe the position of each student with two independent information a) The row in which he/she sits. b) The column in which he/she sits. Now, if the student 'A' is sitting in the third row and the fifth column. find the position of his friend sitting two columns away(to A's right-hand side).
Answer» Consider a seating plan of students in an auditorium. Push all the seats together and represent each seat with a square. Each square describe the position of each student with two independent information a) The row in which he/she sits. b) The column in which he/she sits. Now, if the student 'A' is sitting in the third row and the fifth column. find the position of his friend sitting two columns away(to A's right-hand side).

6.

Consider a seating plan of students in an auditorium. Push all the seats together and represent each seat with a square. Each square describe the position of each student with two independent information a) The row in which he/she sits. b) The column in which he/she sits. Now, if the student 'A' is sitting in the third row and the fifth column. find the position of his friend sitting two columns away(to A's right-hand side).

Answer»

Consider a seating plan of students in an auditorium. Push all the seats together and represent each seat with a square. Each square describe the position of each student with two independent information

a) The row in which he/she sits.

b) The column in which he/she sits.

Now, if the student 'A' is sitting in the third row and the fifth column. find the position of his friend sitting two columns away(to A's right-hand side).

Discussion

7.	A man bought apples at 10 for Rs. and sold them at Rs. 25 per dozen. Find his gain or loss per cent.
Answer» $A man bought apples at 10 for Rs. and sold them at Rs. 25 per dozen. Find his gain or loss per cent.$

Discussion

8.	A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and its breadth is 3.5 m. the depth of the reservoir is (a) 2 m (b) 5 m (c) 6 m (d) 8 m
Answer» A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and its breadth is 3.5 m. the depth of the reservoir is (a) 2 m (b) 5 m (c) 6 m (d) 8 m

8.

A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and its breadth is 3.5 m. the depth of the reservoir is (a) 2 m (b) 5 m (c) 6 m (d) 8 m

Answer»

A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and its breadth is 3.5 m. the depth of the reservoir is

(a) 2 m

(b) 5 m

(c) 6 m

(d) 8 m

Discussion

9.	Evaluate : (3a−12)(3a−12)
Answer» Evaluate : $(3 a - \frac{1}{2}) (3 a - \frac{1}{2})$

Discussion

10.	Find the cube root of 0.125
Answer» Find the cube root of 0.125

Discussion

11.	Question 70 For all rational numbers a, b and c, a (b + c) = ab + bc
Answer» Question 70 For all rational numbers a, b and c, a (b + c) = ab + bc

Discussion

12.	Factorise : x2−10xy+24y2
Answer» Factorise : $x^{2} - 10 x y + 24 y^{2}$

Discussion

13.	Question 1 (vii) What will be the unit digit of the squares of the following number: 52698
Answer» Question 1 (vii) What will be the unit digit of the squares of the following number: 52698

13.

Question 1 (vii) What will be the unit digit of the squares of the following number: 52698

Answer»

Question 1 (vii)
What will be the unit digit of the squares of the following number:

52698

Discussion

14.	Identify the terms in the expression5x2y+3xy2.
Answer» $Identify the terms in the expression 5 x^{2} y + 3 x y^{2} .$

Discussion

15.	Find the value (2528)×2−7
Answer» Find the value $(\frac{2^{5}}{2^{8}}) \times 2^{- 7}$

Discussion

16.	A quadrilateral it has tow right angles the third interior angle measures 20 less than the fourth angle find the measure of all interior angles
Answer» A quadrilateral it has tow right angles the third interior angle measures 20 less than the fourth angle find the measure of all interior angles

Discussion

17.	How many cubes of side length 3 can fit in a cuboid of dimension 3×6×9?
Answer» How many cubes of side length 3 can fit in a cuboid of dimension 3×6×9?

Discussion

18.	Find the rate at which a sum of money will double itself in 3 years, if the interest is compounded annually.
Answer» Find the rate at which a sum of money will double itself in $3$ years, if the interest is compounded annually.

Discussion

19.	Divide the first polynomial by the second polynomial in each of the following, Also, write the quotient and remainder. (i) 3x2+4x+5, x−2 (ii) 10x2−7x+8, 5x−3 (iii) 5y2−6y2+6y−1, 5y−1 (iv) x4−x3+5x, x−1 (v) y4+y2, y2−2
Answer» Divide the first polynomial by the second polynomial in each of the following, Also, write the quotient and remainder. (i) $3 x^{2} + 4 x + 5, x - 2$ (ii) $10 x^{2} - 7 x + 8, 5 x - 3$ (iii) $5 y^{2} - 6 y^{2} + 6 y - 1, 5 y - 1$ (iv) $x^{4} - x^{3} + 5 x, x - 1$ (v) $y^{4} + y^{2}, y^{2} - 2$

19.

Divide the first polynomial by the second polynomial in each of the following, Also, write the quotient and remainder. (i) 3x2+4x+5, x−2 (ii) 10x2−7x+8, 5x−3 (iii) 5y2−6y2+6y−1, 5y−1 (iv) x4−x3+5x, x−1 (v) y4+y2, y2−2

Answer»

Divide the first polynomial by the second polynomial in each of the following, Also, write the quotient and remainder.

(i) $3 x^{2} + 4 x + 5, x - 2$

(ii) $10 x^{2} - 7 x + 8, 5 x - 3$

(iii) $5 y^{2} - 6 y^{2} + 6 y - 1, 5 y - 1$

(iv) $x^{4} - x^{3} + 5 x, x - 1$

(v) $y^{4} + y^{2}, y^{2} - 2$

Discussion

20.	Evaluate :{(405)2−(395)2}
Answer» Evaluate : ${(405)^{2} - (395)^{2}}$

Discussion

21.	3+23y−8y2=?(a) (1−8y)(3+y)(b) (1+8y)(3−y)(c) (1−8y)(y−3)(d) (8y−1)(y+3)
Answer» $3 + 23 y - 8 y^{2} = ? (a) (1 - 8 y) (3 + y) (b) (1 + 8 y) (3 - y) (c) (1 - 8 y) (y - 3) (d) (8 y - 1) (y + 3)$

Discussion

22.	Find the amount and the compound interest on Rs. 8000 for 112 years at 10% per annum, compounded half-yearly.
Answer» Find the amount and the compound interest on Rs. 8000 for $1 \frac{1}{2}$ years at $10 %$ per annum, compounded half-yearly.

Discussion

23.	Question 6 A point which lies on both the axes is (a) (0,0) (b) (0,1) (c) (1,0) (d) (1,1)
Answer» Question 6 A point which lies on both the axes is (a) (0,0) (b) (0,1) (c) (1,0) (d) (1,1)

Discussion

24.	A closed box is made of 2 cm thick wood with dimensions 84 cm × 75 cm × 64 cm. Find the volume of the wood required to make the box.
Answer» A closed box is made of 2 cm thick wood with dimensions 84 cm × 75 cm × 64 cm. Find the volume of the wood required to make the box.

Discussion

25.	−21+71x−31x2−24x3 by 3−8x
Answer» $- 21 + 71 x - 31 x^{2} - 24 x^{3} b y 3 - 8 x$

Discussion

26.	Question 92 (xiii) Factorise the following using the identity a2−b2=(a+b)(a−b). x28−y218
Answer» Question 92 (xiii) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $\frac{x^{2}}{8} - \frac{y^{2}}{18}$

26.

Question 92 (xiii) Factorise the following using the identity a2−b2=(a+b)(a−b). x28−y218

Answer»

Question 92 (xiii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{x^{2}}{8} - \frac{y^{2}}{18}$

Discussion

27.	Factorise: (a+b)3−a−b
Answer» Factorise: $(a + b)^{3} - a - b$

27.

Factorise: (a+b)3−a−b

Answer»

Factorise:

$(a + b)^{3} - a - b$

Discussion

28.	Question 14 In a frequency distribution with classes 0-10, 10-20 etc., the size of the class intervals is 10. The lower limit of fourth class is: (a) 40 (b) 50 (c) 20 (d) 30
Answer» Question 14 In a frequency distribution with classes 0-10, 10-20 etc., the size of the class intervals is 10. The lower limit of fourth class is: (a) 40 (b) 50 (c) 20 (d) 30

28.

Question 14 In a frequency distribution with classes 0-10, 10-20 etc., the size of the class intervals is 10. The lower limit of fourth class is: (a) 40 (b) 50 (c) 20 (d) 30

Answer»

Question 14

In a frequency distribution with classes 0-10, 10-20 etc., the size of the class intervals is 10. The lower limit of fourth class is:

(a) 40

(b) 50

(c) 20

(d) 30

Discussion

29.	Factorise: 2x2−17x−30
Answer» Factorise: $2 x^{2} - 17 x - 30$

29.

Factorise: 2x2−17x−30

Answer»

Factorise:

$2 x^{2} - 17 x - 30$

Discussion

30.	Find two consecutive whole numbers whose product is 72
Answer» Find two consecutive whole numbers whose product is 72

Discussion

31.	Simplify each of the following: (i) x2−3x+5−12(3x2−5x+7)(ii) [5−3x+2y−(2x−y)]−(3x−7y+9)(iii) 112x2y−94xy2+14xy−114y2x+115yx2+12xy(iv) (13y2−47y+11)−(17y−3+2y2)−(27y−23y2+2)(v) −12a2b2c+13ab2c−14abc2−15cb2a2+16cb2a−17c2ab+18ca2b.
Answer» Simplify each of the following: $(i) x^{2} - 3 x + 5 - \frac{1}{2} (3 x^{2} - 5 x + 7) (i i) [5 - 3 x + 2 y - (2 x - y)] - (3 x - 7 y + 9) (i i i) \frac{11}{2} x^{2} y - \frac{9}{4} x y^{2} + \frac{1}{4} x y - \frac{1}{14} y^{2} x + \frac{1}{15} y x^{2} + \frac{1}{2} x y (i v) (\frac{1}{3} y^{2} - \frac{4}{7} y + 11) - (\frac{1}{7} y - 3 + 2 y^{2}) - (\frac{2}{7} y - \frac{2}{3} y^{2} + 2) (v) - \frac{1}{2} a^{2} b^{2} c + \frac{1}{3} a b^{2} c - \frac{1}{4} a b c^{2} - \frac{1}{5} c b^{2} a^{2} + \frac{1}{6} c b^{2} a - \frac{1}{7} c^{2} a b + \frac{1}{8} c a^{2} b .$

Discussion

32.	Factorise: 28−31x−5x2
Answer» Factorise: $28 - 31 x - 5 x^{2}$

32.

Factorise: 28−31x−5x2

Answer»

Factorise:

$28 - 31 x - 5 x^{2}$

Discussion

33.	Question 5 (a) (a) Is it possible to have a regular polygon with measure of each exterior angle as 22∘?
Answer» Question 5 (a) (a) Is it possible to have a regular polygon with measure of each exterior angle as $22^{\circ}$ ?

Discussion

34.	In Δ ABD, AB=AD and AC is perpendicular to BD. State the property by which Δ ABC ≅ Δ ADC.
Answer» In $Δ$ ABD, AB=AD and AC is perpendicular to BD. State the property by which $Δ$ ABC $≅$ $Δ$ ADC.

Discussion

35.	In the given figure, ABC is a triangle, right angled at B. If BCDE is a square on the side BC and ACFG is a square on AC, then AD is ____.
Answer» In the given figure, ABC is a triangle, right angled at B. If BCDE is a square on the side BC and ACFG is a square on AC, then AD is ____.

Discussion

36.	If 'a' and 'b' are any two integers and a+(b+c) = (a+b)+c. The property used here is __.
Answer» If 'a' and 'b' are any two integers and a+(b+c) = (a+b)+c. The property used here is __.

Discussion

37.	Write journal entries will be recorded for the following transactions on the dissolution of a firm ? (a) Payment of unrecorded liabilities of Rs. 3,200. (b) Stock worth Rs. 7,500 is taken by a partner Rohit. (c) Profit on Realisation amounting to Rs. 18,000 is to be distributed between the partners Ashish and Tarun in the ratio of 5 : 7. (d) An unrecorded asset realised Rs. 5,500.
Answer» Write journal entries will be recorded for the following transactions on the dissolution of a firm ? (a) Payment of unrecorded liabilities of Rs. 3,200. (b) Stock worth Rs. 7,500 is taken by a partner Rohit. (c) Profit on Realisation amounting to Rs. 18,000 is to be distributed between the partners Ashish and Tarun in the ratio of 5 : 7. (d) An unrecorded asset realised Rs. 5,500.

37.

Write journal entries will be recorded for the following transactions on the dissolution of a firm ? (a) Payment of unrecorded liabilities of Rs. 3,200. (b) Stock worth Rs. 7,500 is taken by a partner Rohit. (c) Profit on Realisation amounting to Rs. 18,000 is to be distributed between the partners Ashish and Tarun in the ratio of 5 : 7. (d) An unrecorded asset realised Rs. 5,500.

Answer»

Write journal entries will be recorded for the following transactions on the dissolution of a firm ?

(a) Payment of unrecorded liabilities of Rs. 3,200.

(b) Stock worth Rs. 7,500 is taken by a partner Rohit.

(c) Profit on Realisation amounting to Rs. 18,000 is to be distributed between the partners Ashish and Tarun in the ratio of 5 : 7.

(d) An unrecorded asset realised Rs. 5,500.

Discussion

38.	The length of a cuboid is twice its breadth. The breadth is twice its height. Find the ratio of the lateral surface area to the total surface area of the cuboid. The height of the cuboid is 2 cm.
Answer» The length of a cuboid is twice its breadth. The breadth is twice its height. Find the ratio of the lateral surface area to the total surface area of the cuboid. The height of the cuboid is $2 c m$ .

Discussion

39.	5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from the outside. If a glass is picked at random, what is the probability that the chosen glass is good?
Answer» 5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from the outside. If a glass is picked at random, what is the probability that the chosen glass is good?

Discussion

40.	Use the distributivity of multiplication of rational numbers over their addition to simplify: (i) 35×(3524+101) (ii)−54×(85+165) (iii)27×(716−214) (iv)34×(89−40)
Answer» Use the distributivity of multiplication of rational numbers over their addition to simplify: (i) $\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$ (ii) $\frac{- 5}{4} \times (\frac{8}{5} + \frac{16}{5})$ (iii) $\frac{2}{7} \times (\frac{7}{16} - \frac{21}{4})$ (iv) $\frac{3}{4} \times (\frac{8}{9} - 40)$

40.

Use the distributivity of multiplication of rational numbers over their addition to simplify: (i) 35×(3524+101) (ii)−54×(85+165) (iii)27×(716−214) (iv)34×(89−40)

Answer»

Use the distributivity of multiplication of rational numbers over their addition to simplify:

(i) $\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$

(ii) $\frac{- 5}{4} \times (\frac{8}{5} + \frac{16}{5})$

(iii) $\frac{2}{7} \times (\frac{7}{16} - \frac{21}{4})$

(iv) $\frac{3}{4} \times (\frac{8}{9} - 40)$

Discussion

41.	What is the unit digit of the cube of the number whose unit digit is 7?
Answer» What is the unit digit of the cube of the number whose unit digit is 7?

Discussion

42.	Coefficient of xy2 in the term −4xy29 is:
Answer» Coefficient of $x y^{2}$ in the term $\frac{- 4 x y^{2}}{9}$ is:

Discussion

43.	Question 43 In the question given below, fill in the blank to make the statement true: Common factor of ax2+bx is ___
Answer» Question 43 In the question given below, fill in the blank to make the statement true: Common factor of $a x^{2} + b x$ is ___

Discussion

44.	Find the square of 121. ___
Answer» Find the square of 121. ___

Discussion

45.	A number whose square root is twice its cubic root is
Answer» A number whose square root is twice its cubic root is

Discussion

46.	In a polyhedron, ______ are the intersection of more than two edges.
Answer» In a polyhedron, ______ are the intersection of more than two edges.

Discussion

47.	A cube of side 5 cm is cut into as many as 1cm cubes as possible . How many squares will be cut ?
Answer» A cube of side 5 cm is cut into as many as 1cm cubes as possible . How many squares will be cut ?

Discussion

48.	The number which are used for counting objects are called________
Answer» The number which are used for counting objects are called________

Discussion

49.	Factorise 2x,3xsquare,4 I want the complete solution for the question
Answer» Factorise 2x,3xsquare,4 I want the complete solution for the question

Discussion

50.	Xy5-yx5
Answer» Xy⁵-yx⁵

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Last year my age was a square number. Next year my age will be cube number. What is my age ?

Define linear equation in one variable.

A parallelogram can be constructed uniquely if

The perimeter of a square whose area is 4.41 m2 is ___ m.

Question 111 (ii) What will happen to the volume of the cube, if its edge is reduced to one-fourth?

A man bought apples at 10 for Rs. and sold them at Rs. 25 per dozen. Find his gain or loss per cent.

A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and its breadth is 3.5 m. the depth of the reservoir is (a) 2 m (b) 5 m (c) 6 m (d) 8 m

Evaluate : (3a−12)(3a−12)

Find the cube root of 0.125

Question 70 For all rational numbers a, b and c, a (b + c) = ab + bc

Factorise : x2−10xy+24y2

Question 1 (vii) What will be the unit digit of the squares of the following number: 52698

Identify the terms in the expression5x2y+3xy2.

Find the value (2528)×2−7

A quadrilateral it has tow right angles the third interior angle measures 20 less than the fourth angle find the measure of all interior angles

How many cubes of side length 3 can fit in a cuboid of dimension 3×6×9?

Find the rate at which a sum of money will double itself in 3 years, if the interest is compounded annually.

Divide the first polynomial by the second polynomial in each of the following, Also, write the quotient and remainder. (i) 3x2+4x+5, x−2 (ii) 10x2−7x+8, 5x−3 (iii) 5y2−6y2+6y−1, 5y−1 (iv) x4−x3+5x, x−1 (v) y4+y2, y2−2

Evaluate :{(405)2−(395)2}

3+23y−8y2=?(a) (1−8y)(3+y)(b) (1+8y)(3−y)(c) (1−8y)(y−3)(d) (8y−1)(y+3)

Find the amount and the compound interest on Rs. 8000 for 112 years at 10% per annum, compounded half-yearly.

Question 6 A point which lies on both the axes is (a) (0,0) (b) (0,1) (c) (1,0) (d) (1,1)

A closed box is made of 2 cm thick wood with dimensions 84 cm × 75 cm × 64 cm. Find the volume of the wood required to make the box.

−21+71x−31x2−24x3 by 3−8x

Question 92 (xiii) Factorise the following using the identity a2−b2=(a+b)(a−b). x28−y218

Factorise: (a+b)3−a−b

Question 14 In a frequency distribution with classes 0-10, 10-20 etc., the size of the class intervals is 10. The lower limit of fourth class is: (a) 40 (b) 50 (c) 20 (d) 30

Factorise: 2x2−17x−30

Find two consecutive whole numbers whose product is 72

Simplify each of the following: (i) x2−3x+5−12(3x2−5x+7)(ii) [5−3x+2y−(2x−y)]−(3x−7y+9)(iii) 112x2y−94xy2+14xy−114y2x+115yx2+12xy(iv) (13y2−47y+11)−(17y−3+2y2)−(27y−23y2+2)(v) −12a2b2c+13ab2c−14abc2−15cb2a2+16cb2a−17c2ab+18ca2b.

Factorise: 28−31x−5x2

Question 5 (a) (a) Is it possible to have a regular polygon with measure of each exterior angle as 22∘?

In Δ ABD, AB=AD and AC is perpendicular to BD. State the property by which Δ ABC ≅ Δ ADC.

In the given figure, ABC is a triangle, right angled at B. If BCDE is a square on the side BC and ACFG is a square on AC, then AD is ____.

If 'a' and 'b' are any two integers and a+(b+c) = (a+b)+c. The property used here is __.

The length of a cuboid is twice its breadth. The breadth is twice its height. Find the ratio of the lateral surface area to the total surface area of the cuboid. The height of the cuboid is 2 cm.

5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from the outside. If a glass is picked at random, what is the probability that the chosen glass is good?

Use the distributivity of multiplication of rational numbers over their addition to simplify: (i) 35×(3524+101) (ii)−54×(85+165) (iii)27×(716−214) (iv)34×(89−40)

What is the unit digit of the cube of the number whose unit digit is 7?

Coefficient of xy2 in the term −4xy29 is:

Question 43 In the question given below, fill in the blank to make the statement true: Common factor of ax2+bx is ___

Find the square of 121. ___

A number whose square root is twice its cubic root is

In a polyhedron, ______ are the intersection of more than two edges.

A cube of side 5 cm is cut into as many as 1cm cubes as possible . How many squares will be cut ?

The number which are used for counting objects are called________

Factorise 2x,3xsquare,4 I want the complete solution for the question

Xy5-yx5