32581 + Interview Questions in Mathematics Page 231 InterviewSolution

11501.	Solve the given inequality and show the graph of the solution on number line: 3x – 2 < 2x +1
Answer» Solve the given inequality and show the graph of the solution on number line: 3x – 2 < 2x +1

Discussion

11502.	V is product of first 41 natural numbers. A = V+1. The number of primes among A+1, A+2, A+3, A+4 ............... A+39, A+40 is: (A) 1 (B) 2 (C) 3 (D) 0
Answer» V is product of first 41 natural numbers. A = V+1. The number of primes among A+1, A+2, A+3, A+4 ............... A+39, A+40 is: (A) 1 (B) 2 (C) 3 (D) 0

11502.

V is product of first 41 natural numbers. A = V+1. The number of primes among A+1, A+2, A+3, A+4 ............... A+39, A+40 is: (A) 1 (B) 2 (C) 3 (D) 0

Answer»

V is product of first 41 natural numbers. A = V+1. The number of primes among A+1, A+2, A+3, A+4 ............... A+39, A+40 is:

(A) 1 (B) 2

(C) 3 (D) 0

Discussion

11503.	A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?[Assume π=227]
Answer» A conical pit of top diameter $3.5 m$ is $12 m$ deep. What is its capacity in kilolitres? $[A s s u m e π = \frac{22}{7}]$

Discussion

11504.	Choose the correct less than type ogive curve for the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510
Answer» Choose the correct less than type ogive curve for the given data. $\begin{matrix} Class & Frequency 5 - 10 & 3 10 - 15 & 6 15 - 20 & 9 20 - 25 & 12 25 - 30 & 8 30 - 35 & 10 \end{matrix}$

11504.

Choose the correct less than type ogive curve for the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510

Answer»

Choose the correct less than type ogive curve for the given data.

$\begin{matrix} Class & Frequency 5 - 10 & 3 10 - 15 & 6 15 - 20 & 9 20 - 25 & 12 25 - 30 & 8 30 - 35 & 10 \end{matrix}$

Discussion

11505.	Solve for x and y:5x+y-2x-y=-115x+y+7x-y=10
Answer» Solve for x and y: $\frac{5}{x + y} - \frac{2}{x - y} = - 1 \frac{15}{x + y} + \frac{7}{x - y} = 10$

Discussion

11506.	If Alpha and Beta are the zeros of ax^2+bx+c, find the value of Alpha^3+Beta^2
Answer» If Alpha and Beta are the zeros of ax^2+bx+c, find the value of Alpha^3+Beta^2

Discussion

11507.	A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is (a) 6 cm (b) 8 cm (c) 23 cm (d) 24 cm
Answer» A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is (a) 6 cm (b) 8 cm (c) 23 cm (d) 24 cm

Discussion

11508.

Pass entries in the books of Krishnan of Bengaluru (Karnataka) in the following cases: I Purchased goods from Karunakaran of Chennai for ₹ 1,00,000. (IGST 18%) II Sold goods to Ganeshan of Bengaluru for ₹ 1,50,000. (CGST 6% and SGST 6%) III Sold goods to S. Nair of Kerala for ₹ 2,60,000. (IGST 18%) IV Purchased a Motor-bike for ₹ 80,000 from Bajaj Ltd. against cheque. (CGST 9% and SGST 9%) V Paid rent ₹ 30,000 by cheque. (CGST 6% and SGST 6%) VI Purchased goods from Ram Mohan Rai of Bengaluru for ₹ 2,00,000. (CGST 6% and SGST 6%) VII Paid insurance premium ₹ 10,000 by cheque. (CGST 9% and SGST 9%) VIII Received commission ₹ 20,000 by cheque which is deposited into bank. (CGST 9% and SGST 9%) IX Payment made of balance amount of GST.

Answer» Pass entries in the books of Krishnan of Bengaluru (Karnataka) in the following cases:


I	Purchased goods from Karunakaran of Chennai for ₹ 1,00,000. (IGST 18%)
II	Sold goods to Ganeshan of Bengaluru for ₹ 1,50,000. (CGST 6% and SGST 6%)
III	Sold goods to S. Nair of Kerala for ₹ 2,60,000. (IGST 18%)
IV	Purchased a Motor-bike for ₹ 80,000 from Bajaj Ltd. against cheque. (CGST 9% and SGST 9%)
V	Paid rent ₹ 30,000 by cheque. (CGST 6% and SGST 6%)
VI	Purchased goods from Ram Mohan Rai of Bengaluru for ₹ 2,00,000. (CGST 6% and SGST 6%)
VII	Paid insurance premium ₹ 10,000 by cheque. (CGST 9% and SGST 9%)
VIII	Received commission ₹ 20,000 by cheque which is deposited into bank. (CGST 9% and SGST 9%)
IX	Payment made of balance amount of GST.

Discussion

11509.	If m times mth term of an A.P. is equal to n times its nth term, show that the (m + n) term of the A.P. is zero. [3 MARKS]
Answer» If m times $m^{t h}$ term of an A.P. is equal to n times its $n^{t h}$ term, show that the (m + n) term of the A.P. is zero. [3 MARKS]

Discussion

11510.	The lock of a suitcase is a 3 digit even number. The number of favourable outcomes for units place is ____.5
Answer» The lock of a suitcase is a 3 digit even number. The number of favourable outcomes for units place is ____. 5

Discussion

11511.	A wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in Fig. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take π=3.14) [4 MARKS]
Answer» A wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in Fig. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take $π = 3.14$ ) [4 MARKS]

11511.

A wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in Fig. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take π=3.14) [4 MARKS]

Answer»

A wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in Fig. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take $π = 3.14$ ) [4 MARKS]

Discussion

11512.	Using the properties of proportion, solve the following equation for x.x3+3x3x2+1=34191
Answer» Using the properties of proportion, solve the following equation for x. $\frac{x^{3} + 3 x}{3 x^{2} + 1} = \frac{341}{91}$

11512.

Using the properties of proportion, solve the following equation for x.x3+3x3x2+1=34191

Answer»

Using the properties of proportion, solve the following equation for x.

$\frac{x^{3} + 3 x}{3 x^{2} + 1} = \frac{341}{91}$

Discussion

11513.

The daily expenditure of 100 families are given below. Calculate f1 and f2 if the mean daily expenditure is ₹188. Expenditure (in ₹) 140−160 160−180 180−200 200−220 220−240 Number of families 5 25 f1 f2 5

Answer» The daily expenditure of 100 families are given below. Calculate f₁ and f₂ if the mean daily expenditure is ₹188.

Expenditure (in ₹)	140−160	160−180	180−200	200−220	220−240
Number of families	5	25	f₁	f₂	5

Discussion

11514.	Product of two consecutive natural numbers is 56. Find the smaller number.7
Answer» Product of two consecutive natural numbers is 56. Find the smaller number. 7

Discussion

11515.	The ratio in which the line segment joining the points A(1,–7) and B(6,4) is divided by X-axis is
Answer» The ratio in which the line segment joining the points $A (1, - 7)$ and $B (6, 4)$ is divided by X-axis is

Discussion

11516.	Find the area of a quadrant of a circle whose circumference is 44 cm. [CBSE 2011]
Answer» Find the area of a quadrant of a circle whose circumference is 44 cm. [CBSE 2011]

Discussion

11517.	Show that the point (x,√(1−x2) is at a distance of 1 unit from the origin .
Answer» Show that the point $(x, \sqrt{(1 - x^{2})}$ is at a distance of 1 unit from the origin .

Discussion

11518.	The ratio of Current Assets (Rs. 3,00,000) to Current Liabilities is 2.4 : 1. The accountant of this firm is interested in maintaining a current ratio of 2 : 1 by acquiring some Current Assets on Credit. You are required to suggest him the amount of current assets which be acquired for his purpose.
Answer» The ratio of Current Assets (Rs. 3,00,000) to Current Liabilities is 2.4 : 1. The accountant of this firm is interested in maintaining a current ratio of 2 : 1 by acquiring some Current Assets on Credit. You are required to suggest him the amount of current assets which be acquired for his purpose.

Discussion

11519.	Which of the following represents an empirical relationship between Median, Mode and Mean?
Answer» Which of the following represents an empirical relationship between Median, Mode and Mean?

Discussion

11520.	The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.
Answer» The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

Discussion

11521.	Question 2 (i) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. 14,−1
Answer» Question 2 (i) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. $\frac{1}{4}, - 1$

11521.

Question 2 (i) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. 14,−1

Answer»

Question 2 (i)
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

$\frac{1}{4}, - 1$

Discussion

11522.	Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.
Answer» Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Discussion

11523.	Draw triangle ABC, in which BC = 8 cm, AC = 7 cm and AB = 6 cm with A, B and C as centre. Draw circles of radii 2.5 cm, 3.5 cm and 4.5 cm respectively and show that these circles touch in pairs
Answer» Draw triangle ABC, in which BC = 8 cm, AC = 7 cm and AB = 6 cm with A, B and C as centre. Draw circles of radii 2.5 cm, 3.5 cm and 4.5 cm respectively and show that these circles touch in pairs

Discussion

11524.	What is the solution of the equation 3x+7y=30 if x=y?
Answer» What is the solution of the equation $3 x + 7 y = 30$ if $x = y$ ?

Discussion

11525.	what are the elements uun,uut,etc. and why are they named so?
Answer» what are the elements uun,uut,etc. and why are they named so?

Discussion

11526.	The line segment AB was divided in the ratio 4:7 by taking 2 rays. The number of arcs to be made on the ray AX is ___
Answer» The line segment AB was divided in the ratio 4:7 by taking 2 rays. The number of arcs to be made on the ray AX is ___

Discussion

11527.	In Fig . 10.69, the tangent at a point C of a circle and a diameter AB when extended intersect at P . If ∠PCA =1100, find ∠CBA. [Hint: Join CO.]figure
Answer» In Fig . 10.69, the tangent at a point C of a circle and a diameter AB when extended intersect at P . If $∠$ PCA =110⁰, find $∠$ CBA. [Hint: Join CO.] figure

Discussion

11528.	The train covers a distance of 600km at 6km/hr . Had the speed been (x+20)km/hr more , the time taken to cover the distance would have been reduced by 5 hours . Find x .
Answer» The train covers a distance of 600km at 6km/hr . Had the speed been (x+20)km/hr more , the time taken to cover the distance would have been reduced by 5 hours . Find x .

Discussion

11529.	{ 2.) A sphere of radius }R and made of material of relative }}{ density }s has a concentric cavity of radius }r . It just }} floats when placed in a tank full of water. The value }{ of the ratio }R/r will be
Answer» { 2.) A sphere of radius }R and made of material of relative }}{ density }s has a concentric cavity of radius }r . It just }} floats when placed in a tank full of water. The value }{ of the ratio }R/r will be

Discussion

11530.	Mark the correct alternative in each of the following:If two different dice are rolled together, the probability of getting an even number on both dice is(a) 136 (b) 12 (c) 16 (d) 14 [CBSE 2014]
Answer» Mark the correct alternative in each of the following: If two different dice are rolled together, the probability of getting an even number on both dice is (a) $\frac{1}{36}$ (b) $\frac{1}{2}$ (c) $\frac{1}{6}$ (d) $\frac{1}{4}$ [CBSE 2014]

Discussion

11531.	The value of Cos(tan^-1(tan2)) is
Answer» The value of Cos(tan^-1(tan2)) is

Discussion

11532.	Find the sum of all natural numbers between 200 and 1502 which are exactly divisible by 3.
Answer» Find the sum of all natural numbers between 200 and 1502 which are exactly divisible by 3.

Discussion

11533.	The rain water from a roof of dimensions 22 m×20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m If the rain water collected from the roof just fills the cylindrical vessel, then find the rain fall in cm.
Answer» The rain water from a roof of dimensions $22 m \times 20 m$ drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m If the rain water collected from the roof just fills the cylindrical vessel, then find the rain fall in cm.

Discussion

11534.	Question 10In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.
Answer» Question 10 In any triangle ABC, if the angle bisector of $∠ A$ and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.

Discussion

11535.	The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below: Marks (x) : 15 20 22 24 15 30 33 38 45 Frequency (f) : 5 8 11 20 23 18 13 3 1 Find the average number of marks.
Answer» The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below: Marks (x) : 15 20 22 24 15 30 33 38 45 Frequency (f) : 5 8 11 20 23 18 13 3 1 Find the average number of marks.

Discussion

11536.	In the given figure, ABCD is a cyclic quadrilateral, OB is the radius, PB is the tangent at point B and ∠OBC=30∘. AOC is a straight line passing through the centre O. Then, the value of x is:
Answer» In the given figure, ABCD is a cyclic quadrilateral, OB is the radius, PB is the tangent at point B and $∠ O B C = 30^{\circ}$ . AOC is a straight line passing through the centre O. Then, the value of x is:

Discussion

11537.	Write the answer of each of the following questions:(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?(ii) Write the name of the point where x-axis and y-axis intersect.
Answer» Write the answer of each of the following questions: (i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane? (ii) Write the name of the point where x-axis and y-axis intersect.

Discussion

11538.	In the given figure, find the length of side AB.
Answer» In the given figure, find the length of side AB.

11538.

In the given figure, find the length of side AB.

Answer»

In the given figure, find the length of side AB.

Discussion

11539.	Purse I contains 4 copper coins and 3 silver coins and purse II contains 6 copper coins and 4 silver coins. If a purse is chosen randomly and a coin is drawn from it, then the probability that this drawn coin is copper, is
Answer» Purse $I$ contains $4$ copper coins and $3$ silver coins and purse $I I$ contains $6$ copper coins and $4$ silver coins. If a purse is chosen randomly and a coin is drawn from it, then the probability that this drawn coin is copper, is

Discussion

11540.	In the figure a small square is inserted inside the bigger square. The area of the shaded region of the square is__ sq.cm.
Answer» In the figure a small square is inserted inside the bigger square. The area of the shaded region of the square is__ sq.cm.

11540.

In the figure a small square is inserted inside the bigger square. The area of the shaded region of the square is__ sq.cm.

Answer»

In the figure a small square is inserted inside the bigger square. The area of the shaded region of the square is__ sq.cm.

Discussion

11541.	If two circles with radius a cm and b cm meet externally., then the distance between their centres is equal to ______ cm.
Answer» If two circles with radius a cm and b cm meet externally., then the distance between their centres is equal to ______ cm.

Discussion

11542.	The probability of getting a sum of 13 ,when two dice are thrown simultaneously is___
Answer» The probability of getting a sum of 13 ,when two dice are thrown simultaneously is___

Discussion

11543.	The L.C.M of two terms 2ab and 6ac2 is 6abc2, find their H.C.F.
Answer» The L.C.M of two terms 2ab and 6ac² is 6abc², find their H.C.F.

Discussion

11544.	The radii of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm. Find its volume, the curved surface area and the total suface area (Take π= 227))
Answer» The radii of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm. Find its volume, the curved surface area and the total suface area (Take $π$ = $\frac{22}{7}$ ))

Discussion

11545.	A vertical pole of 30 m is fixed on a tower. From a point on the level ground, the angles of elevation of the top and bottom of the pole is 60∘ and 45∘. Find the height of the tower.
Answer» A vertical pole of 30 m is fixed on a tower. From a point on the level ground, the angles of elevation of the top and bottom of the pole is $60^{\circ}$ and $45^{\circ}$ . Find the height of the tower.

11545.

A vertical pole of 30 m is fixed on a tower. From a point on the level ground, the angles of elevation of the top and bottom of the pole is 60∘ and 45∘. Find the height of the tower.

Answer»

A vertical pole of 30 m is fixed on a tower. From a point on the level ground, the angles of elevation of the top and bottom of the pole is $60^{\circ}$ and $45^{\circ}$ . Find the height of the tower.

Discussion

11546.	Find the roots of the quadratic equation −x2+7x−10=0 using the quadratic formula.
Answer» Find the roots of the quadratic equation $- x^{2} + 7 x - 10 = 0$ using the quadratic formula.

Discussion

11547.	A particle is oscillating according to the equation x=7cos0.5pit where t is in second .The point moves from the position of equlibrium to maximum displacement in tim
Answer» A particle is oscillating according to the equation x=7cos0.5pit where t is in second .The point moves from the position of equlibrium to maximum displacement in tim

Discussion

11548.	If f(x)=x2−1, then find fof.
Answer» $If f (x) = x^{2} - 1, then find f o f .$

Discussion

11549.	From a window (h metres high above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are θ and ϕ respectively. Find the height of the opposite house.
Answer» From a window (h metres high above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are $θ$ and $ϕ$ respectively. Find the height of the opposite house.

Discussion

11550.	Write down the decimal expansions of : 3550
Answer» Write down the decimal expansions of : $\frac{35}{50}$

Discussion

Explore topic-wise InterviewSolutions in .

Solve the given inequality and show the graph of the solution on number line: 3x – 2 &lt; 2x +1

V is product of first 41 natural numbers. A = V+1. The number of primes among A+1, A+2, A+3, A+4 ............... A+39, A+40 is: (A) 1 (B) 2 (C) 3 (D) 0

A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?[Assume π=227]

Choose the correct less than type ogive curve for the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510

Solve for x and y:5x+y-2x-y=-115x+y+7x-y=10

If Alpha and Beta are the zeros of ax^2+bx+c, find the value of Alpha^3+Beta^2

A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is (a) 6 cm (b) 8 cm (c) 23 cm (d) 24 cm

If m times mth term of an A.P. is equal to n times its nth term, show that the (m + n) term of the A.P. is zero. [3 MARKS]

The lock of a suitcase is a 3 digit even number. The number of favourable outcomes for units place is ____.5

Using the properties of proportion, solve the following equation for x.x3+3x3x2+1=34191

The daily expenditure of 100 families are given below. Calculate f1 and f2 if the mean daily expenditure is ₹188. Expenditure (in ₹) 140−160 160−180 180−200 200−220 220−240 Number of families 5 25 f1 f2 5

Product of two consecutive natural numbers is 56. Find the smaller number.7

The ratio in which the line segment joining the points A(1,–7) and B(6,4) is divided by X-axis is

Find the area of a quadrant of a circle whose circumference is 44 cm. [CBSE 2011]

Show that the point (x,√(1−x2) is at a distance of 1 unit from the origin .

The ratio of Current Assets (Rs. 3,00,000) to Current Liabilities is 2.4 : 1. The accountant of this firm is interested in maintaining a current ratio of 2 : 1 by acquiring some Current Assets on Credit. You are required to suggest him the amount of current assets which be acquired for his purpose.

Which of the following represents an empirical relationship between Median, Mode and Mean?

The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

Question 2 (i) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. 14,−1

Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Draw triangle ABC, in which BC = 8 cm, AC = 7 cm and AB = 6 cm with A, B and C as centre. Draw circles of radii 2.5 cm, 3.5 cm and 4.5 cm respectively and show that these circles touch in pairs

What is the solution of the equation 3x+7y=30 if x=y?

what are the elements uun,uut,etc. and why are they named so?

The line segment AB was divided in the ratio 4:7 by taking 2 rays. The number of arcs to be made on the ray AX is ___

In Fig . 10.69, the tangent at a point C of a circle and a diameter AB when extended intersect at P . If ∠PCA =1100, find ∠CBA. [Hint: Join CO.]figure

The train covers a distance of 600km at 6km/hr . Had the speed been (x+20)km/hr more , the time taken to cover the distance would have been reduced by 5 hours . Find x .

{ 2.) A sphere of radius }R and made of material of relative }}{ density }s has a concentric cavity of radius }r . It just }} floats when placed in a tank full of water. The value }{ of the ratio }R/r will be

Mark the correct alternative in each of the following:If two different dice are rolled together, the probability of getting an even number on both dice is(a) 136 (b) 12 (c) 16 (d) 14 [CBSE 2014]

The value of Cos(tan^-1(tan2)) is

Find the sum of all natural numbers between 200 and 1502 which are exactly divisible by 3.

The rain water from a roof of dimensions 22 m×20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m If the rain water collected from the roof just fills the cylindrical vessel, then find the rain fall in cm.

Question 10In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.

The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below: Marks (x) : 15 20 22 24 15 30 33 38 45 Frequency (f) : 5 8 11 20 23 18 13 3 1 Find the average number of marks.

In the given figure, ABCD is a cyclic quadrilateral, OB is the radius, PB is the tangent at point B and ∠OBC=30∘. AOC is a straight line passing through the centre O. Then, the value of x is:

Write the answer of each of the following questions:(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?(ii) Write the name of the point where x-axis and y-axis intersect.

In the given figure, find the length of side AB.

Purse I contains 4 copper coins and 3 silver coins and purse II contains 6 copper coins and 4 silver coins. If a purse is chosen randomly and a coin is drawn from it, then the probability that this drawn coin is copper, is

In the figure a small square is inserted inside the bigger square. The area of the shaded region of the square is__ sq.cm.

If two circles with radius a cm and b cm meet externally., then the distance between their centres is equal to ______ cm.

The probability of getting a sum of 13 ,when two dice are thrown simultaneously is___

The L.C.M of two terms 2ab and 6ac2 is 6abc2, find their H.C.F.

The radii of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm. Find its volume, the curved surface area and the total suface area (Take π= 227))

A vertical pole of 30 m is fixed on a tower. From a point on the level ground, the angles of elevation of the top and bottom of the pole is 60∘ and 45∘. Find the height of the tower.

Find the roots of the quadratic equation −x2+7x−10=0 using the quadratic formula.

A particle is oscillating according to the equation x=7cos0.5pit where t is in second .The point moves from the position of equlibrium to maximum displacement in tim

If f(x)=x2−1, then find fof.

From a window (h metres high above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are θ and ϕ respectively. Find the height of the opposite house.

Write down the decimal expansions of : 3550

Solve the given inequality and show the graph of the solution on number line: 3x – 2 < 2x +1