25365 + Interview Questions in Mathematics

1.	a^1/3+b^1/3+c^1/3=0, then
Answer» a^1/3+b^1/3+c^1/3=0, then

Discussion

2.

If x and y are directly related, then, find l, m and n. x 16 4 l 8 y 4 m 8 n

Answer»

If $x and y$ are directly related, then, find $l, m and n$ .

$x$	$16$	$4$	$l$	$8$
$y$	$4$	$m$	$8$	$n$

Discussion

3.	The figure shows 3 regular pentagons put together. The measure of ∠ABC is
Answer» The figure shows 3 regular pentagons put together. The measure of $∠ A B C$ is

3.

The figure shows 3 regular pentagons put together. The measure of ∠ABC is

Answer»

The figure shows 3 regular pentagons put together. The measure of $∠ A B C$ is

Discussion

4.	Find all possible values of x2+2x2−3
Answer» Find all possible values of $\frac{x^{2} + 2}{x^{2} - 3}$

Discussion

5.	Question 2 (ii) Consider the following parallelograms. Find the values of the unknowns x,y,z. (ii)
Answer» Question 2 (ii) Consider the following parallelograms. Find the values of the unknowns x,y,z. (ii)

Discussion

6.	Find the value of the given expression (4x3+x2+x)÷4x
Answer» Find the value of the given expression $(4 x^{3} + x^{2} + x) \div 4 x$

Discussion

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

Discussion

8.	Find the correct match of both the columns:
Answer» Find the correct match of both the columns:

Discussion

9.	What is the median of following data? 34, 27, 45, 55, 22, 30, 40
Answer» What is the median of following data? 34, 27, 45, 55, 22, 30, 40

9.

What is the median of following data? 34, 27, 45, 55, 22, 30, 40

Answer»

What is the median of following data?

34, 27, 45, 55, 22, 30, 40

Discussion

10.	In given figure, CO = OD & ∠OCD=30∘. Now find the ∠AOB? [3 MARKS]
Answer» In given figure, CO = OD & $∠ O C D = 30^{\circ}$ . Now find the $∠ A O B$ ? [3 MARKS]

10.

In given figure, CO = OD & ∠OCD=30∘. Now find the ∠AOB? [3 MARKS]

Answer»

In given figure, CO = OD & $∠ O C D = 30^{\circ}$ . Now find the $∠ A O B$ ? [3 MARKS]

Discussion

11.	The shape of kajubarfi is __.
Answer» The shape of kajubarfi is __.

11.

The shape of kajubarfi is __.

Answer»

The shape of kajubarfi is __.

Discussion

12.	Refer to the figure shown: In the given diagram, ABCD is a rectangle. BC is extended to E such that C is the midpoint of BE. The points A and E are joint to meet DC in P. Then i) P is the midpoint of AE. ii) P is the midpoint of CD.
Answer» Refer to the figure shown: In the given diagram, ABCD is a rectangle. BC is extended to E such that C is the midpoint of BE. The points A and E are joint to meet DC in P. Then i) P is the midpoint of AE. ii) P is the midpoint of CD.

12.

Refer to the figure shown: In the given diagram, ABCD is a rectangle. BC is extended to E such that C is the midpoint of BE. The points A and E are joint to meet DC in P. Then i) P is the midpoint of AE. ii) P is the midpoint of CD.

Answer»

Refer to the figure shown:

In the given diagram, ABCD is a rectangle. BC is extended to E such that C is the midpoint of BE. The points A and E are joint to meet DC in P. Then

i) P is the midpoint of AE.

ii) P is the midpoint of CD.

Discussion

13.	Question 5 Convert the given frequency distribution into a continuous grouped frequency distribution. Class intervalFrequency150−1537154−1577158−16115162−16510166−1695170−1736 In which intervals would 15.5 and 157.5 be included?
Answer» Question 5 Convert the given frequency distribution into a continuous grouped frequency distribution. $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 150 - 153 & 7 154 - 157 & 7 158 - 161 & 15 162 - 165 & 10 166 - 169 & 5 170 - 173 & 6 \end{matrix}$ In which intervals would 15.5 and 157.5 be included?

Discussion

14.	Question 67 State whether the statement is True or False. Triangles having the same base have equal area.
Answer» Question 67 State whether the statement is True or False. Triangles having the same base have equal area.

14.

Question 67 State whether the statement is True or False. Triangles having the same base have equal area.

Answer»

Question 67

State whether the statement is True or False.

Triangles having the same base have equal area.

Discussion

15.	Factorise b2+c2+2bc−a2
Answer» Factorise $b^{2} + c^{2} + 2 b c - a^{2}$

Discussion

16.	Anju, Manju and Mamta are partners whose fixed capitals were Rs 10,000, Rs 8,000, Rs 6,000 respectively. As per the partnership agreement, there is a provision for allowing interest on capitals 5% pa but entries for the same have not been made for the last three years. The profit sharing ratio during these years remainded as follows Year Anju Manju Mamta 2004 4 3 5 2005 3 2 1 2006 1 1 1 Make necessary adjustment entry at the beginning of the fourth year i.e., Jan 2007.
Answer» Anju, Manju and Mamta are partners whose fixed capitals were Rs 10,000, Rs 8,000, Rs 6,000 respectively. As per the partnership agreement, there is a provision for allowing interest on capitals 5% pa but entries for the same have not been made for the last three years. The profit sharing ratio during these years remainded as follows Year Anju Manju Mamta 2004 4 3 5 2005 3 2 1 2006 1 1 1 Make necessary adjustment entry at the beginning of the fourth year i.e., Jan 2007.

16.

Anju, Manju and Mamta are partners whose fixed capitals were Rs 10,000, Rs 8,000, Rs 6,000 respectively. As per the partnership agreement, there is a provision for allowing interest on capitals 5% pa but entries for the same have not been made for the last three years. The profit sharing ratio during these years remainded as follows Year Anju Manju Mamta 2004 4 3 5 2005 3 2 1 2006 1 1 1 Make necessary adjustment entry at the beginning of the fourth year i.e., Jan 2007.

Answer»

Anju, Manju and Mamta are partners whose fixed capitals were Rs 10,000, Rs 8,000, Rs 6,000 respectively. As per the partnership agreement, there is a provision for allowing interest on capitals 5% pa but entries for the same have not been made for the last three years. The profit sharing ratio during these years remainded as follows

Year Anju Manju Mamta

2004 4 3 5

2005 3 2 1

2006 1 1 1

Make necessary adjustment entry at the beginning of the fourth year i.e., Jan 2007.

Discussion

17.	Pinku was a hard working student who used to learn without understanding. He was asked to construct a triangle say ABC and was given the base length of the triangle BC, one of the base angles say ∠ B and the sum of the other two sides (AB + AC). He went about constructing the triangle in the following way: He drew the base BC with the given dimension, drew the ∠ B along the ray BX with the angle known to him already. He then took B as centre and (AB + AC) as radius and cuts an arc on the ray BX intersecting the ray at D. He then joins D to C. He then draws a perpendicular bisector of the line DC and the perpendicular bisector intersecting on the ray intersects the ray at point A. The teacher then asked him as to why he did what he did, she started from the back and asked him as to how the intersection of the ray and the perpendicular bisector gives A. Which of the following is the reason for him drawing the perpendicular bisector and intersecting it with the ray?
Answer» Pinku was a hard working student who used to learn without understanding. He was asked to construct a triangle say ABC and was given the base length of the triangle BC, one of the base angles say $∠$ B and the sum of the other two sides (AB + AC). He went about constructing the triangle in the following way: He drew the base BC with the given dimension, drew the $∠$ B along the ray BX with the angle known to him already. He then took B as centre and (AB + AC) as radius and cuts an arc on the ray BX intersecting the ray at D. He then joins D to C. He then draws a perpendicular bisector of the line DC and the perpendicular bisector intersecting on the ray intersects the ray at point A. The teacher then asked him as to why he did what he did, she started from the back and asked him as to how the intersection of the ray and the perpendicular bisector gives A. Which of the following is the reason for him drawing the perpendicular bisector and intersecting it with the ray?

17.

Pinku was a hard working student who used to learn without understanding. He was asked to construct a triangle say ABC and was given the base length of the triangle BC, one of the base angles say ∠ B and the sum of the other two sides (AB + AC). He went about constructing the triangle in the following way: He drew the base BC with the given dimension, drew the ∠ B along the ray BX with the angle known to him already. He then took B as centre and (AB + AC) as radius and cuts an arc on the ray BX intersecting the ray at D. He then joins D to C. He then draws a perpendicular bisector of the line DC and the perpendicular bisector intersecting on the ray intersects the ray at point A. The teacher then asked him as to why he did what he did, she started from the back and asked him as to how the intersection of the ray and the perpendicular bisector gives A. Which of the following is the reason for him drawing the perpendicular bisector and intersecting it with the ray?

Answer»

Pinku was a hard working student who used to learn without understanding. He was asked to construct a triangle say ABC and was given the base length of the triangle BC, one of the base angles say $∠$ B and the sum of the other two sides (AB + AC). He went about constructing the triangle in the following way:

He drew the base BC with the given dimension, drew the $∠$ B along the ray BX with the angle known to him already. He then took B as centre and (AB + AC) as radius and cuts an arc on the ray BX intersecting the ray at D.

He then joins D to C. He then draws a perpendicular bisector of the line DC and the perpendicular bisector intersecting on the ray intersects the ray at point A. The teacher then asked him as to why he did what he did, she started from the back and asked him as to how the intersection of the ray and the perpendicular bisector gives A.

Which of the following is the reason for him drawing the perpendicular bisector and intersecting it with the ray?

Discussion

18.	One side of a rhombus is 5 units. What is its perimeter?
Answer» One side of a rhombus is 5 units. What is its perimeter?

Discussion

19.	A table marked at ₹15000 is available for ₹14400. What is the discount %?
Answer» A table marked at ₹15000 is available for ₹14400. What is the discount %?

Discussion

20.	A wire, when bent in the form of a square, encloses an area of 196cm2. If the same wire is bent to form a circle, find the area of the circle.
Answer» A wire, when bent in the form of a square, encloses an area of $196 c m^{2}$ . If the same wire is bent to form a circle, find the area of the circle.

Discussion

21.	A family went to a restaurant for dinner. The bill of ₹3000 was handed which was not inclusive of the 4% Goods and Service Tax (GST). The final bill amount would be?
Answer» A family went to a restaurant for dinner. The bill of ₹3000 was handed which was not inclusive of the 4% Goods and Service Tax (GST). The final bill amount would be?

Discussion

22.	Find the value of the given expression (x3+2x2+3x)÷2x
Answer» Find the value of the given expression $(x^{3} + 2 x^{2} + 3 x) \div 2 x$

Discussion

23.	If velocity v, acceleration A and force B are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, A and F would be
Answer» If velocity v, acceleration A and force B are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, A and F would be

Discussion

24.	Compute the value of the following expression 25×75
Answer» Compute the value of the following expression $25 \times 75$

Discussion

25.	Arrange the given heights of 20 students in grouped distribution with a class interval of 5 and find the number of students above the height of 169cm. Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.
Answer» Arrange the given heights of 20 students in grouped distribution with a class interval of 5 and find the number of students above the height of 169cm. Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

25.

Arrange the given heights of 20 students in grouped distribution with a class interval of 5 and find the number of students above the height of 169cm. Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

Answer»

Arrange the given heights of 20 students in grouped distribution with a class interval of 5 and find the number of students above the height of 169cm.

Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

Discussion

26.	The product of (t+s2) and (t2−s) is:
Answer» The product of $(t + s^{2})$ and $(t^{2} - s)$ is:

Discussion

27.	Question 14 In the following question out of the four options only one is correct, write the correct answer. Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is: (a) 3(x – 3) (b) 3x + 3 (c)3x – 9 (d) 3(x + 3)
Answer» Question 14 In the following question out of the four options only one is correct, write the correct answer. Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is: (a) 3(x – 3) (b) 3x + 3 (c)3x – 9 (d) 3(x + 3)

27.

Question 14 In the following question out of the four options only one is correct, write the correct answer. Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is: (a) 3(x – 3) (b) 3x + 3 (c)3x – 9 (d) 3(x + 3)

Answer»

Question 14

In the following question out of the four options only one is correct, write the correct answer.

Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is:

(a) 3(x – 3)

(b) 3x + 3

(c)3x – 9

(d) 3(x + 3)

Discussion

28.	Which of these methods gives the highest value of mean?
Answer» Which of these methods gives the highest value of mean?

Discussion

29.	The cube of 149 is
Answer» The cube of $1 \frac{4}{9}$ is

Discussion

30.	Use direct method to ecaluate the following products : (i) (x + 8)(x + 3) (ii) (y + 5)(y - 3) (iii) (a- 8)(a+ 2) (iv) (b - 3)(b - 5) (v) (3x - 2y)(2x + y) (vi) (5a + 16)(3a -7) (vii) (8 - b)(3 + b)
Answer» Use direct method to ecaluate the following products : (i) (x + 8)(x + 3) (ii) (y + 5)(y - 3) (iii) (a- 8)(a+ 2) (iv) (b - 3)(b - 5) (v) (3x - 2y)(2x + y) (vi) (5a + 16)(3a -7) (vii) (8 - b)(3 + b)

30.

Use direct method to ecaluate the following products : (i) (x + 8)(x + 3) (ii) (y + 5)(y - 3) (iii) (a- 8)(a+ 2) (iv) (b - 3)(b - 5) (v) (3x - 2y)(2x + y) (vi) (5a + 16)(3a -7) (vii) (8 - b)(3 + b)

Answer»

Use direct method to ecaluate the following products :

(i) (x + 8)(x + 3)

(ii) (y + 5)(y - 3)

(iii) (a- 8)(a+ 2)

(iv) (b - 3)(b - 5)

(v) (3x - 2y)(2x + y)

(vi) (5a + 16)(3a -7)

(vii) (8 - b)(3 + b)

Discussion

31.	If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and ∠ ABC= 60∘, can you draw a quadrilateral?
Answer» If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $∠$ ABC= $60^{\circ}$ , can you draw a quadrilateral?

Discussion

32.	Find the difference between compound interest and simple interest on an amount of ₹ 1000 for 3 years at 10 % per annum.
Answer» Find the difference between compound interest and simple interest on an amount of ₹ 1000 for 3 years at 10 % per annum.

Discussion

33.	Simplify: (3pq+3qr)2−18pq2r
Answer» Simplify: ${(3 p q + 3 q r)}^{2} - 18 p q^{2} r$

Discussion

34.	A boy says ," I have as many brothers as sisters. " His sister says ," I have twice as as many brothers as sisters ." How many brothers and sisters are there in this family?
Answer» A boy says ," I have as many brothers as sisters. " His sister says ," I have twice as as many brothers as sisters ." How many brothers and sisters are there in this family?

Discussion

35.	(3y+2)(2y-5)
Answer» (3y+2)(2y-5)

Discussion

36.	Determine the ratio of the lateral surface area to total surface area of a cube.
Answer» Determine the ratio of the lateral surface area to total surface area of a cube.

Discussion

37.	Find the ratio in which D divides side BC if Ar(ΔABD)Ar(ΔADC)=23
Answer» Find the ratio in which D divides side BC if $\frac{A r (Δ A B D)}{A r (Δ A D C)} = \frac{2}{3}$

Discussion

38.	Simplify: 2{m−3(n+¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯m−2n)}
Answer» Simplify: $2 {m - 3 (n + ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ m - 2 n)}$

38.

Simplify: 2{m−3(n+¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯m−2n)}

Answer»

Simplify:

$2 {m - 3 (n + ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ m - 2 n)}$

Discussion

39.	Question 3 x−53=x−35
Answer» Question 3 $\frac{x - 5}{3} = \frac{x - 3}{5}$

Discussion

40.	Factorise: 4xy−x2−4y2+z2
Answer» Factorise: $4 x y - x^{2} - 4 y^{2} + z^{2}$

Discussion

41.	Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spend Rs. 1680 on its repairs and sold the motor cycle to Rahul for Rs. 35910, thereby making a profit of 12.5%, find the cost price of the motor cycle for Ravish.
Answer» Ravish sold his motorcycle to Vineet at a loss of $28 %$ . Vineet spend $R s . 1680$ on its repairs and sold the motor cycle to Rahul for $R s . 35910$ , thereby making a profit of $12.5 %$ , find the cost price of the motor cycle for Ravish.

Discussion

42.	By using the formula, find the amount and compound interest on: Subhalaxmi took a loan of Rs. 18000 from Surya Finance to purchasea TV set. If the company charges compound interest at 12% per annum during the first year and 1212% per annum during the second year, how much will she have to pay after 2 years ?
Answer» By using the formula, find the amount and compound interest on: Subhalaxmi took a loan of Rs. 18000 from Surya Finance to purchasea TV set. If the company charges compound interest at $12 %$ per annum during the first year and $12 \frac{1}{2} %$ per annum during the second year, how much will she have to pay after 2 years ?

Discussion

43.	Question 44 If Y-coordinate is 3 times X-coordinate, from a table for it and draw a graph.
Answer» Question 44 If Y-coordinate is 3 times X-coordinate, from a table for it and draw a graph.

Discussion

44.	(4×103)+(2×102)+(0×101)+(2×100)+(1×10−1)+(2×10−2) is the expanded form of the number ___.
Answer» $(4 \times 10^{3}) + (2 \times 10^{2}) + (0 \times 10^{1}) + (2 \times 10^{0}) + (1 \times 10^{- 1}) + (2 \times 10^{- 2})$ is the expanded form of the number ___.

Discussion

45.	Line l and m are parallel to each other. A transversal intersects them at points A and B. i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure). ii) Now, with the same radius and A as the centre, an arc FG is drawn (as shown in the figure). What is the relation between the length of arc DM and arc FG?
Answer» Line l and m are parallel to each other. A transversal intersects them at points A and B. i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure). ii) Now, with the same radius and A as the centre, an arc FG is drawn (as shown in the figure). What is the relation between the length of arc DM and arc FG?

45.

Line l and m are parallel to each other. A transversal intersects them at points A and B. i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure). ii) Now, with the same radius and A as the centre, an arc FG is drawn (as shown in the figure). What is the relation between the length of arc DM and arc FG?

Answer»

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as the centre, an arc FG is drawn (as shown in the figure).

What is the relation between the length of arc DM and arc FG?

Discussion

46.	Express the following in its standard form: 1000×2+100×3+10×2+1×4
Answer» Express the following in its standard form: $1000 \times 2 + 100 \times 3 + 10 \times 2 + 1 \times 4$

46.

Express the following in its standard form: 1000×2+100×3+10×2+1×4

Answer»

Express the following in its standard form:

$1000 \times 2 + 100 \times 3 + 10 \times 2 + 1 \times 4$

Discussion

47.	Identify the points which lie on the line 3x + 4y = 7.
Answer» Identify the points which lie on the line 3x + 4y = 7.

Discussion

48.	Which of the following numbers is not a perfect square? (a) 7056 (b) 3969 (c) 5478 (d) 4624
Answer» Which of the following numbers is not a perfect square? (a) 7056 (b) 3969 (c) 5478 (d) 4624

Discussion

49.	if a +b +c=12 and a rase to power two + b rase to power 2 +c rase to power 2 =6, find the value of ab + bc +ca
Answer» if a +b +c=12 and a rase to power two + b rase to power 2 +c rase to power 2 =6, find the value of ab + bc +ca

Discussion

50.	3a2b-12a2-9b+36
Answer» 3a²b-12a²-9b+36

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

a^1/3+b^1/3+c^1/3=0, then

If x and y are directly related, then, find l, m and n. x 16 4 l 8 y 4 m 8 n

The figure shows 3 regular pentagons put together. The measure of ∠ABC is

Find all possible values of x2+2x2−3

Question 2 (ii) Consider the following parallelograms. Find the values of the unknowns x,y,z. (ii)

Find the value of the given expression (4x3+x2+x)÷4x

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

Find the correct match of both the columns:

What is the median of following data? 34, 27, 45, 55, 22, 30, 40

In given figure, CO = OD &amp; ∠OCD=30∘. Now find the ∠AOB? [3 MARKS]

The shape of kajubarfi is __.

Refer to the figure shown: In the given diagram, ABCD is a rectangle. BC is extended to E such that C is the midpoint of BE. The points A and E are joint to meet DC in P. Then i) P is the midpoint of AE. ii) P is the midpoint of CD.

Question 5 Convert the given frequency distribution into a continuous grouped frequency distribution. Class intervalFrequency150−1537154−1577158−16115162−16510166−1695170−1736 In which intervals would 15.5 and 157.5 be included?

Question 67 State whether the statement is True or False. Triangles having the same base have equal area.

Factorise b2+c2+2bc−a2

One side of a rhombus is 5 units. What is its perimeter?

A table marked at ₹15000 is available for ₹14400. What is the discount %?

A wire, when bent in the form of a square, encloses an area of 196cm2. If the same wire is bent to form a circle, find the area of the circle.

A family went to a restaurant for dinner. The bill of ₹3000 was handed which was not inclusive of the 4% Goods and Service Tax (GST). The final bill amount would be?

Find the value of the given expression (x3+2x2+3x)÷2x

If velocity v, acceleration A and force B are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, A and F would be

Compute the value of the following expression 25×75

Arrange the given heights of 20 students in grouped distribution with a class interval of 5 and find the number of students above the height of 169cm. Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

The product of (t+s2) and (t2−s) is:

Question 14 In the following question out of the four options only one is correct, write the correct answer. Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is: (a) 3(x – 3) (b) 3x + 3 (c)3x – 9 (d) 3(x + 3)

Which of these methods gives the highest value of mean?

The cube of 149 is

Use direct method to ecaluate the following products : (i) (x + 8)(x + 3) (ii) (y + 5)(y - 3) (iii) (a- 8)(a+ 2) (iv) (b - 3)(b - 5) (v) (3x - 2y)(2x + y) (vi) (5a + 16)(3a -7) (vii) (8 - b)(3 + b)

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and ∠ ABC= 60∘, can you draw a quadrilateral?

Find the difference between compound interest and simple interest on an amount of ₹ 1000 for 3 years at 10 % per annum.

Simplify: (3pq+3qr)2−18pq2r

A boy says ," I have as many brothers as sisters. " His sister says ," I have twice as as many brothers as sisters ." How many brothers and sisters are there in this family?

(3y+2)(2y-5)

Determine the ratio of the lateral surface area to total surface area of a cube.

Find the ratio in which D divides side BC if Ar(ΔABD)Ar(ΔADC)=23

Simplify: 2{m−3(n+¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯m−2n)}

Question 3 x−53=x−35

Factorise: 4xy−x2−4y2+z2

Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spend Rs. 1680 on its repairs and sold the motor cycle to Rahul for Rs. 35910, thereby making a profit of 12.5%, find the cost price of the motor cycle for Ravish.

Question 44 If Y-coordinate is 3 times X-coordinate, from a table for it and draw a graph.

(4×103)+(2×102)+(0×101)+(2×100)+(1×10−1)+(2×10−2) is the expanded form of the number ___.

Express the following in its standard form: 1000×2+100×3+10×2+1×4

Identify the points which lie on the line 3x + 4y = 7.

Which of the following numbers is not a perfect square? (a) 7056 (b) 3969 (c) 5478 (d) 4624

if a +b +c=12 and a rase to power two + b rase to power 2 +c rase to power 2 =6, find the value of ab + bc +ca

3a2b-12a2-9b+36

In given figure, CO = OD & ∠OCD=30∘. Now find the ∠AOB? [3 MARKS]