25365 + Interview Questions in Mathematics

1.	Find the amount on Rs 36000 in 2 years at 15% p.a. compounded annually.
Answer» Find the amount on Rs 36000 in 2 years at 15% p.a. compounded annually.

Discussion

2.	The lines XY and MN intersect at O. If ∠POY = 90o and a:b = 2:3, find c.
Answer» The lines XY and MN intersect at O. If ∠POY = 90^o and a:b = 2:3, find c.

2.

The lines XY and MN intersect at O. If ∠POY = 90o and a:b = 2:3, find c.

Answer»

The lines XY and MN intersect at O.

If ∠POY = 90^o and a:b = 2:3, find c.

Discussion

3.	Choose the correct statement(s) about a bar graph.
Answer» Choose the correct statement(s) about a bar graph.

Discussion

4.	Draw a histogram table for the following data: Class~interval1−1011−2021−3031−40Frequency7121513
Answer» Draw a histogram table for the following data: $\begin{matrix} Class~interval & 1 - 10 & 11 - 20 & 21 - 30 & 31 - 40 Frequency & 7 & 12 & 15 & 13 \end{matrix}$

Discussion

5.	In the given figure ∠ ADB = ∠ CDB. If BD bisects ∠ ABC, then which of the following is true ?
Answer» In the given figure $∠$ ADB = $∠$ CDB. If BD bisects $∠$ ABC, then which of the following is true ?

5.

In the given figure ∠ ADB = ∠ CDB. If BD bisects ∠ ABC, then which of the following is true ?

Answer»

In the given figure $∠$ ADB = $∠$ CDB. If BD bisects $∠$ ABC, then which of the following is true ?

Discussion

6.	Solve for Y. 3√6125×(Y)=35
Answer» Solve for $Y .$ $\sqrt[3]{6125 \times (Y)} = 35$

Discussion

7.	There are 10 marbles in a box which are marked with first 10 multiples of 2. (a) What is the probability of drawing a multiple of 4? (b) What is the probability of drawing a multiple of 6? [4 MARKS]
Answer» There are 10 marbles in a box which are marked with first 10 multiples of 2. (a) What is the probability of drawing a multiple of 4? (b) What is the probability of drawing a multiple of 6? [4 MARKS]

Discussion

8.	(4pq+3q)2 − (4pq−3q)2=.
Answer» ${(4 p q + 3 q)}^{2} - {(4 p q - 3 q)}^{2} =$ .

Discussion

9.	The set - builder form of the set {45,56,67,78,89,910} is
Answer» The set - builder form of the set ${\frac{4}{5}, \frac{5}{6}, \frac{6}{7}, \frac{7}{8}, \frac{8}{9}, \frac{9}{10}}$ is

Discussion

10.	Find the square root of 729 by prime factorization method. [3 MARKS]
Answer» Find the square root of 729 by prime factorization method. [3 MARKS]

Discussion

11.	Representation of data in form of sectors of a circle is called ____ chart.
Answer» Representation of data in form of sectors of a circle is called ____ chart.

Discussion

12.	Find the square of 39.
Answer» Find the square of 39.

Discussion

13.	Pritam bought a piot of land for Rs. 640000. Its value is increasing by 5% of its previous value after every six months. What will be the value of the plot after 2 years?
Answer» Pritam bought a piot of land for Rs. 640000. Its value is increasing by $5 %$ of its previous value after every six months. What will be the value of the plot after 2 years?

Discussion

14.	Sunil and his father's age are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Find Sunil's age.
Answer» Sunil and his father's age are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Find Sunil's age.

Discussion

15.	Factorise: a2−(2a+3b)2
Answer» Factorise: $a^{2} - (2 a + 3 b)^{2}$

15.

Factorise: a2−(2a+3b)2

Answer»

Factorise:

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

Discussion

16.	The sale of a TV set including VAT is Rs.27000.If the VAT is charged at8%of the list price, what is the list price of the TV set ?
Answer» $The sale of a TV set including VAT is Rs.27000.If the VAT is charged at 8 % of the list price, what is the list price of the TV set ?$

Discussion

17.	On dividing (24xy2)(z2)by 6yz2, we get
Answer» On dividing $(24 x y^{2}) (z^{2})$ by $6 y z^{2}$ , we get

Discussion

18.	Factorise:4y2 - 12y + 9. Justify your answer with a reason.
Answer» Factorise:4y² - 12y + 9. Justify your answer with a reason.

Discussion

19.	(600+9)^2=(600)^2+26009+(9)^2
Answer» (600+9)^2=(600)^2+26009+(9)^2

Discussion

20.	If a+b+c=0 Then find the value of a3+b3+c3
Answer» If a+b+c=0 Then find the value of a³+b³+c³

20.

If a+b+c=0 Then find the value of a3+b3+c3

Answer»

If a+b+c=0

Then find the value of a³+b³+c³

Discussion

21.	Add: 5+y−3y2+2y3,−8+3y+7y3 and 3−8y−4y3+2y2
Answer» Add: $5 + y - 3 y^{2} + 2 y^{3}, - 8 + 3 y + 7 y^{3}$ and $3 - 8 y - 4 y^{3} + 2 y^{2}$

Discussion

22.	How many of the following are functions ? (i) f(x)=x5;{−1,0,1}→{0,1,2} (ii) f(x)=∓√x;{0,4,9}→{0,2,−2,3,−3} (iii) f(x)=√x;{0,4,9}→{0,2,−2,3,−3} (iv) f(x)=x2;{0,1,2}→{0,1,2,3,4}
Answer» How many of the following are functions ? (i) $f (x) = x^{5}; {- 1, 0, 1} \to {0, 1, 2}$ (ii) $f (x) = \mp \sqrt{x}; {0, 4, 9} \to {0, 2, - 2, 3, - 3}$ (iii) $f (x) = \sqrt{x}; {0, 4, 9} \to {0, 2, - 2, 3, - 3}$ (iv) $f (x) = x^{2}; {0, 1, 2} \to {0, 1, 2, 3, 4}$

22.

How many of the following are functions ? (i) f(x)=x5;{−1,0,1}→{0,1,2} (ii) f(x)=∓√x;{0,4,9}→{0,2,−2,3,−3} (iii) f(x)=√x;{0,4,9}→{0,2,−2,3,−3} (iv) f(x)=x2;{0,1,2}→{0,1,2,3,4}

Answer»

How many of the following are functions ?

(i) $f (x) = x^{5}; {- 1, 0, 1} \to {0, 1, 2}$

(ii) $f (x) = \mp \sqrt{x}; {0, 4, 9} \to {0, 2, - 2, 3, - 3}$

(iii) $f (x) = \sqrt{x}; {0, 4, 9} \to {0, 2, - 2, 3, - 3}$

(iv) $f (x) = x^{2}; {0, 1, 2} \to {0, 1, 2, 3, 4}$

Discussion

23.	Question 82(vi) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F. Which bags are of the same price?
Answer» Question 82(vi) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F. Which bags are of the same price?

Discussion

24.	Factorise : (2x+5y)2−1
Answer» Factorise : $(2 x + 5 y)^{2} - 1$

24.

Factorise : (2x+5y)2−1

Answer»

Factorise :

$(2 x + 5 y)^{2} - 1$

Discussion

25.	Prove that AB*4=CAB
Answer» Prove that AB*4=CAB

Discussion

26.	Manju has ₹90 in her piggy bank in Re 1 coins and 50 paise coins. If the number of Re 1 coins is twice that of 50 paise coins, how many coins of each are there?
Answer» Manju has ₹90 in her piggy bank in Re 1 coins and 50 paise coins. If the number of Re 1 coins is twice that of 50 paise coins, how many coins of each are there?

Discussion

27.	Use suitable identities---- 1. (x+2)(x-3) 2. (2x+1)^3 3. (2x-3y)^3 4. (x+2y+3z)^2
Answer» Use suitable identities---- 1. (x+2)(x-3) 2. (2x+1)^3 3. (2x-3y)^3 4. (x+2y+3z)^2

27.

Use suitable identities---- 1. (x+2)(x-3) 2. (2x+1)^3 3. (2x-3y)^3 4. (x+2y+3z)^2

Answer»

Use suitable identities----

1. (x+2)(x-3)

2. (2x+1)^3

3. (2x-3y)^3

4. (x+2y+3z)^2

Discussion

28.	Mary is wrapping a can of paint to gift a friend . If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will she use for covering the paper ?
Answer» Mary is wrapping a can of paint to gift a friend . If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will she use for covering the paper ?

Discussion

29.	An NGO collected Rs. 302500 as a donation from its donors. If each donor has paid as much amount as there were donors, find the number of donors. Find the number of donors using long division method.
Answer» An NGO collected Rs. 302500 as a donation from its donors. If each donor has paid as much amount as there were donors, find the number of donors. Find the number of donors using long division method.

Discussion

30.	What will be the reading of the screw gauge shown below, if it is has no zero error?
Answer» What will be the reading of the screw gauge shown below, if it is has no zero error?

30.

What will be the reading of the screw gauge shown below, if it is has no zero error?

Answer»

What will be the reading of the screw gauge shown below, if it is has no zero error?

Discussion

31.	How many litres of water will a cuboidal tank contain, if its length, breadth, and height are 50 cm, 40 cm, and 20 cm respectively?
Answer» How many litres of water will a cuboidal tank contain, if its length, breadth, and height are 50 cm, 40 cm, and 20 cm respectively?

Discussion

32.	5-7\2(1+2x)=-8\7
Answer» 5-7\2(1+2x)=-8\7

Discussion

33.	Round off the given measurement up to first decimal place 16.35 __
Answer» Round off the given measurement up to first decimal place 16.35 __

Discussion

34.	In the given figure, ABCD is a square. Then the value of 'x' is
Answer» In the given figure, ABCD is a square. Then the value of 'x' is

Discussion

35.	Express the complex numbers in the form of a+ib: ((13+73i)−(4+13i))−(−43+i)
Answer» Express the complex numbers in the form of $a + i b$ : $((\frac{1}{3} + \frac{7}{3} i) - (4 + \frac{1}{3} i)) - (\frac{- 4}{3} + i)$

35.

Express the complex numbers in the form of a+ib: ((13+73i)−(4+13i))−(−43+i)

Answer»

Express the complex numbers in the form of $a + i b$ :

$((\frac{1}{3} + \frac{7}{3} i) - (4 + \frac{1}{3} i)) - (\frac{- 4}{3} + i)$

Discussion

36.	Factorise: 4x2+14x2+1
Answer» Factorise: $4 x^{2} + \frac{1}{4 x^{2}} + 1$

36.

Factorise: 4x2+14x2+1

Answer»

Factorise:

$4 x^{2} + \frac{1}{4 x^{2}} + 1$

Discussion

37.	Find the value of. X3+y3y3-12xy+64 when x+y=-4
Answer» Find the value of. X³+y³y3-12xy+64 when x+y=-4

Discussion

38.	Find a single discount (as percent) equivalent to successive discounts of 15% and 10%.
Answer» Find a single discount (as percent) equivalent to successive discounts of 15% and 10%.

Discussion

39.	Question 85 (viii) Expand the following, using suitable identities. (4x5+y4)(4x5+3y4)
Answer» Question 85 (viii) Expand the following, using suitable identities. $(\frac{4 x}{5} + \frac{y}{4}) (\frac{4 x}{5} + \frac{3 y}{4})$

39.

Question 85 (viii) Expand the following, using suitable identities. (4x5+y4)(4x5+3y4)

Answer»

Question 85 (viii)

Expand the following, using suitable identities.

$(\frac{4 x}{5} + \frac{y}{4}) (\frac{4 x}{5} + \frac{3 y}{4})$

Discussion

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

Discussion

41.	If xg+1xa is a polynomial in one variable and if it is given that g = a, the expression represents a constant polynomial for a = ___
Answer» If $x^{g}$ + $\frac{1}{x^{a}}$ is a polynomial in one variable and if it is given that g = a, the expression represents a constant polynomial for a = ___

Discussion

42.	What is the number of faces in a hexagonal pyramid?
Answer» What is the number of faces in a hexagonal pyramid?

Discussion

43.	Shiva Ltd. issued 20,000 shares of Rs 10 each at a premium of 10%. Payments were to be made as -- on Application Rs 5 (including premium); on Allotment Rs 4 and on First and Final Call Rs 2. Applications were received for 18,000 shares and all were accepted. All money was duly received. Pass necessary entries in the Books of the Company.
Answer» Shiva Ltd. issued 20,000 shares of Rs 10 each at a premium of 10%. Payments were to be made as -- on Application Rs 5 (including premium); on Allotment Rs 4 and on First and Final Call Rs 2. Applications were received for 18,000 shares and all were accepted. All money was duly received. Pass necessary entries in the Books of the Company.

43.

Shiva Ltd. issued 20,000 shares of Rs 10 each at a premium of 10%. Payments were to be made as -- on Application Rs 5 (including premium); on Allotment Rs 4 and on First and Final Call Rs 2. Applications were received for 18,000 shares and all were accepted. All money was duly received. Pass necessary entries in the Books of the Company.

Answer»

Shiva Ltd. issued 20,000 shares of Rs 10 each at a premium of 10%. Payments were to be made as -- on Application Rs 5 (including premium); on Allotment Rs 4 and on First and Final Call Rs 2.

Applications were received for 18,000 shares and all were accepted. All money was duly received.

Pass necessary entries in the Books of the Company.

Discussion

44.	Is it possible to form a quadrilateral with 4 collinear points?
Answer» Is it possible to form a quadrilateral with 4 collinear points?

Discussion

45.	The selling price of a sofa-set is 45 times of its cost price. Find the gain or the loss as percent.
Answer» The selling price of a sofa-set is $\frac{4}{5}$ times of its cost price. Find the gain or the loss as percent.

Discussion

46.	A trapezium has an area of 570 cm2. The height of the trapezium is 5 cm and the longer parallel side is twice the length of the shorter parallel side. Select the statements that hold true.
Answer» A trapezium has an area of 570 cm². The height of the trapezium is 5 cm and the longer parallel side is twice the length of the shorter parallel side. Select the statements that hold true.

46.

A trapezium has an area of 570 cm2. The height of the trapezium is 5 cm and the longer parallel side is twice the length of the shorter parallel side. Select the statements that hold true.

Answer»

A trapezium has an area of 570 cm². The height of the trapezium is 5 cm and the longer parallel side is twice the length of the shorter parallel side. Select the statements that hold true.

Discussion

47.	Construct a quadrilateral PQRS in which ∠Q=45∘, ∠R=90∘,QR=5cm,PQ=9 cm and RS=7 cm.
Answer» Construct a quadrilateral PQRS in which $∠ Q = 45^{\circ}$ , $∠ R = 90^{\circ}, Q R = 5 c m$ ,PQ=9 cm and RS=7 cm.

Discussion

48.	If the tens digit is twice the units digit in the number 'ab'. Choose the correct option.
Answer» If the tens digit is twice the units digit in the number 'ab'. Choose the correct option.

Discussion

49.	Question 121 Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets 12 of what Hubna gets and Huma gets 123 times Seema's share. How much money do the three sisters get individually?
Answer» Question 121 Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets $\frac{1}{2}$ of what Hubna gets and Huma gets $1 \frac{2}{3}$ times Seema's share. How much money do the three sisters get individually?

Discussion

50.	Question 92 (iii) Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.
Answer» Question 92 (iii) Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

50.

Question 92 (iii) Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

Answer»

Question 92 (iii)

Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the amount on Rs 36000 in 2 years at 15% p.a. compounded annually.

The lines XY and MN intersect at O. If ∠POY = 90o and a:b = 2:3, find c.

Choose the correct statement(s) about a bar graph.

Draw a histogram table for the following data: Class~interval1−1011−2021−3031−40Frequency7121513

In the given figure ∠ ADB = ∠ CDB. If BD bisects ∠ ABC, then which of the following is true ?

Solve for Y. 3√6125×(Y)=35

There are 10 marbles in a box which are marked with first 10 multiples of 2. (a) What is the probability of drawing a multiple of 4? (b) What is the probability of drawing a multiple of 6? [4 MARKS]

(4pq+3q)2 − (4pq−3q)2=.

The set - builder form of the set {45,56,67,78,89,910} is

Find the square root of 729 by prime factorization method. [3 MARKS]

Representation of data in form of sectors of a circle is called ____ chart.

Find the square of 39.

Pritam bought a piot of land for Rs. 640000. Its value is increasing by 5% of its previous value after every six months. What will be the value of the plot after 2 years?

Sunil and his father's age are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Find Sunil's age.

Factorise: a2−(2a+3b)2

The sale of a TV set including VAT is Rs.27000.If the VAT is charged at8%of the list price, what is the list price of the TV set ?

On dividing (24xy2)(z2)by 6yz2, we get

Factorise:4y2 - 12y + 9. Justify your answer with a reason.

(600+9)^2=(600)^2+2*600*9+(9)^2

If a+b+c=0 Then find the value of a3+b3+c3

Add: 5+y−3y2+2y3,−8+3y+7y3 and 3−8y−4y3+2y2

How many of the following are functions ? (i) f(x)=x5;{−1,0,1}→{0,1,2} (ii) f(x)=∓√x;{0,4,9}→{0,2,−2,3,−3} (iii) f(x)=√x;{0,4,9}→{0,2,−2,3,−3} (iv) f(x)=x2;{0,1,2}→{0,1,2,3,4}

Question 82(vi) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F. Which bags are of the same price?

Factorise : (2x+5y)2−1

Prove that AB*4=CAB

Manju has ₹90 in her piggy bank in Re 1 coins and 50 paise coins. If the number of Re 1 coins is twice that of 50 paise coins, how many coins of each are there?

Use suitable identities---- 1. (x+2)(x-3) 2. (2x+1)^3 3. (2x-3y)^3 4. (x+2y+3z)^2

Mary is wrapping a can of paint to gift a friend . If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will she use for covering the paper ?

An NGO collected Rs. 302500 as a donation from its donors. If each donor has paid as much amount as there were donors, find the number of donors. Find the number of donors using long division method.

What will be the reading of the screw gauge shown below, if it is has no zero error?

How many litres of water will a cuboidal tank contain, if its length, breadth, and height are 50 cm, 40 cm, and 20 cm respectively?

5-7\2(1+2x)=-8\7

Round off the given measurement up to first decimal place 16.35 __

In the given figure, ABCD is a square. Then the value of 'x' is

Express the complex numbers in the form of a+ib: ((13+73i)−(4+13i))−(−43+i)

Factorise: 4x2+14x2+1

Find the value of. X​​​​​​3+y​​​​​​3​​​​​y3-12xy+64 when x+y=-4

Find a single discount (as percent) equivalent to successive discounts of 15% and 10%.

Question 85 (viii) Expand the following, using suitable identities. (4x5+y4)(4x5+3y4)

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

If xg+1xa is a polynomial in one variable and if it is given that g = a, the expression represents a constant polynomial for a = ___

What is the number of faces in a hexagonal pyramid?

Is it possible to form a quadrilateral with 4 collinear points?

The selling price of a sofa-set is 45 times of its cost price. Find the gain or the loss as percent.

A trapezium has an area of 570 cm2. The height of the trapezium is 5 cm and the longer parallel side is twice the length of the shorter parallel side. Select the statements that hold true.

Construct a quadrilateral PQRS in which ∠Q=45∘, ∠R=90∘,QR=5cm,PQ=9 cm and RS=7 cm.

If the tens digit is twice the units digit in the number 'ab'. Choose the correct option.

Question 121 Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets 12 of what Hubna gets and Huma gets 123 times Seema's share. How much money do the three sisters get individually?

Question 92 (iii) Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

(600+9)^2=(600)^2+26009+(9)^2

Find the value of. X3+y3y3-12xy+64 when x+y=-4