32581 + Interview Questions in Mathematics Page 257 InterviewSolution

12801.	How many three digit numbers leave a remainder 3 on division by 4?
Answer» How many three digit numbers leave a remainder 3 on division by 4?

Discussion

12802.	Factorise the following polynomial.xy(z2+1)+z(x2+y2)
Answer» Factorise the following polynomial. $x y (z^{2} + 1) + z (x^{2} + y^{2})$

Discussion

12803.	Assertion: A cone is a solid figure. Reason: A cone is generated when rectangular sheet is rotated about its axis. Which of the following is correct?
Answer» Assertion: A cone is a solid figure. Reason: A cone is generated when rectangular sheet is rotated about its axis. Which of the following is correct?

Discussion

12804.	Jai and Raj are partners sharing profits in the ratio of 3 : 2. With effect from 1st April, 2019, they decided to share profits equally. Goodwill appeared in the books at ₹ 25,000. As on 1st April, 2019, it was valued at ₹ 1,00,000. They decided to carry goodwill in the books of the firm.Pass the Journal entry giving effect to the above.
Answer» Jai and Raj are partners sharing profits in the ratio of 3 : 2. With effect from 1st April, 2019, they decided to share profits equally. Goodwill appeared in the books at ₹ 25,000. As on 1st April, 2019, it was valued at ₹ 1,00,000. They decided to carry goodwill in the books of the firm. Pass the Journal entry giving effect to the above.

Discussion

12805.	A manufacturer produces an article and sells it to a wholesaler at a price of ₹ 500 and wholesaler sells it to retailer at a price of ₹ 600. The retailer sells it to the customer at a price of ₹ 800. If the sales tax charged is 5%. Find the total tax charged by the government under VAT.
Answer» A manufacturer produces an article and sells it to a wholesaler at a price of ₹ 500 and wholesaler sells it to retailer at a price of ₹ 600. The retailer sells it to the customer at a price of ₹ 800. If the sales tax charged is $5 %$ . Find the total tax charged by the government under VAT.

Discussion

12806.	For what value/s of k, the quadratic equation 2kx2+6kx+9=0 has no real roots?
Answer» For what value/s of k, the quadratic equation $2 k x^{2} + 6 k x + 9 = 0$ has no real roots?

Discussion

12807.	Using Euclids division lemma show that any positive odd integer in the form of 6q+1,6q+3,6q+5.where q is some integer
Answer» Using Euclids division lemma show that any positive odd integer in the form of 6q+1,6q+3,6q+5.where q is some integer

Discussion

12808.	Which of the following could be thenth term of any AP?
Answer» Which of the following could be the $n^{t h}$ term of any AP?

Discussion

12809.	If the side of a regular hexagon is 8 cm, then its circumradius is equal to ____
Answer» If the side of a regular hexagon is 8 cm, then its circumradius is equal to ____

Discussion

12810.	Question 3 (iv)In the following APs, find the missing term in the boxes.
Answer» Question 3 (iv) In the following APs, find the missing term in the boxes.

Discussion

12811.	Factorise: (i) 4√3x2+5x−2√3 (ii) 7√2x2−10x−4√2
Answer» Factorise: $(i) 4 \sqrt{3} x^{2} + 5 x - 2 \sqrt{3}$ $(i i) 7 \sqrt{2} x^{2} - 10 x - 4 \sqrt{2}$

12811.

Factorise: (i) 4√3x2+5x−2√3 (ii) 7√2x2−10x−4√2

Answer»

Factorise:

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

$(i i) 7 \sqrt{2} x^{2} - 10 x - 4 \sqrt{2}$

Discussion

12812.	A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume.The heap is to be covered by canvas to protect it from the rain. Find the area of the canvas required (in m2).[Assume π=227]99.825
Answer» A heap of wheat is in the form of a cone whose diameter is $10.5 m$ and height is $3 m$ . Find its volume. The heap is to be covered by canvas to protect it from the rain. Find the area of the canvas required (in $m^{2}$ ). $[A s s u m e π = \frac{22}{7}]$ 99.825

Discussion

12813.	The reciprocals of the natural in order give Is it an arithmetic sequence?
Answer» The reciprocals of the natural in order give Is it an arithmetic sequence?

Discussion

12814.	Find the value of the trigonometric functions of sin (−11π3).
Answer» Find the value of the trigonometric functions of sin $(- \frac{11 π}{3})$ .

Discussion

12815.	The sequence of numbers 5, - 2, -9, -16, ... is
Answer» The sequence of numbers 5, - 2, -9, -16, ... is

Discussion

12816.	The slope of a line joining P(6, k) and Q(1-3k, 3) is 12. Find : (i) k. (ii) mid-point of PQ, using the value of ‘k’ found in (i).
Answer» The slope of a line joining P(6, k) and Q(1-3k, 3) is $\frac{1}{2}$ . Find : (i) k. (ii) mid-point of PQ, using the value of ‘k’ found in (i).

12816.

The slope of a line joining P(6, k) and Q(1-3k, 3) is 12. Find : (i) k. (ii) mid-point of PQ, using the value of ‘k’ found in (i).

Answer»

The slope of a line joining P(6, k) and Q(1-3k, 3) is $\frac{1}{2}$ . Find :

(i) k.

(ii) mid-point of PQ, using the value of ‘k’ found in (i).

Discussion

12817.	In a triangle ABC right angled at B,∠ACB=θ.If tanθ=512, then find the value of (1+cos θ)×(1−sinθ)(1+sinθ)×(1−cosθ).
Answer» In a triangle ABC right angled at B, $∠ A C B = θ .$ $If t a n θ = \frac{5}{12}$ , $then find the value of \frac{(1 + c o s θ) \times (1 - s i n θ)}{(1 + s i n θ) \times (1 - c o s θ)} .$

Discussion

12818.	The speed of a boat in still water is 15 km/hr. It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream. [CBSE 2017]
Answer» The speed of a boat in still water is 15 km/hr. It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream. [CBSE 2017]

Discussion

12819.	If △ABC is similar to △PQR, then find the value of x.
Answer» If $△ A B C$ is similar to $△ P Q R,$ then find the value of $x .$

Discussion

12820.	A chime is made of 3 identical spherical balls of density 363 g/cm3. If mass of each ball is 49 g, then find radius of each ball.Take π=227
Answer» A chime is made of 3 identical spherical balls of density 363 g/ $c m^{3}$ . If mass of each ball is 49 g, then find radius of each ball. Take $π = \frac{22}{7}$

Discussion

12821.	In a triangle BMP and CNR it is given that PB = 5 cm, MP = 6 cm, BM = 9 cm and NR = 9 cm. If △BMP ∼ △CNR, then find the perimeter of the △CNR
Answer» In a triangle BMP and CNR it is given that PB = 5 cm, MP = 6 cm, BM = 9 cm and NR = 9 cm. If △BMP ∼ △CNR, then find the perimeter of the △CNR

Discussion

12822.	ABCD is a flower bed. If OA = 21m and OC = 14m. Find the area of the bed in m2.
Answer» ABCD is a flower bed. If OA = 21m and OC = 14m. Find the area of the bed in $m^{2}$ .

12822.

ABCD is a flower bed. If OA = 21m and OC = 14m. Find the area of the bed in m2.

Answer»

ABCD is a flower bed. If OA = 21m and OC = 14m. Find the area of the bed in $m^{2}$ .

Discussion

12823.	Identify the line segment.
Answer» Identify the line segment.

Discussion

12824.	Construct ∆ABC such that m∠A = 55°, m∠B = 60°, and l(AB) = 5.9 cm.
Answer» Construct ∆ABC such that m $∠$ A = 55^°, m $∠$ B = 60^°, and l(AB) = 5.9 cm.

Discussion

12825.	The circumference of the base of a cone is 44 cm and its slant height is 25 cm. Find the volume of the cone.
Answer» The circumference of the base of a cone is 44 cm and its slant height is 25 cm. Find the volume of the cone.

Discussion

12826.	Question 10Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.
Answer» Question 10 Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

Discussion

12827.	Which term of the AP 20, 1914, 1812, 1734, ... is its first negative term?
Answer» Which term of the AP 20, $19 \frac{1}{4}$ , $18 \frac{1}{2}$ , $17 \frac{3}{4}$ , ... is its first negative term?

Discussion

12828.	The points A (2, 9), B (a, 5) and C (5,5) are the vertices of a triangle ABC right angled at B. Find the values of a and hence the area of △ABC.
Answer» The points A (2, 9), B (a, 5) and C (5,5) are the vertices of a triangle ABC right angled at B. Find the values of a and hence the area of $△ A B C$ .

12828.

The points A (2, 9), B (a, 5) and C (5,5) are the vertices of a triangle ABC right angled at B. Find the values of a and hence the area of △ABC.

Answer»

The points A (2, 9), B (a, 5) and C (5,5) are the vertices of a triangle ABC right angled at B.

Find the values of a and hence the area of $△ A B C$ .

Discussion

12829.	A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, then find the volume of water already used from the tank.
Answer» A storage tank is in the form of a cube. When it is full of water, the volume of water is $15.625 m^{3}$ . If the present depth of water is 1.3 m, then find the volume of water already used from the tank.

Discussion

12830.

The following table given the number of branches and number of plants in the garden of a school. No. of branches (x): 2 3 4 5 6 No. of plants (f): 49 43 57 38 13

Answer» The following table given the number of branches and number of plants in the garden of a school.

No. of branches (x):	2	3	4	5	6
No. of plants (f):	49	43	57	38	13

Discussion

12831.	Question 61 Reenu read 15th pages of a book. If she reads further 40 pages, she would have read 710th pages of the book. How many pages are left to be read?
Answer» Question 61 Reenu read $\frac{1}{5} t h$ pages of a book. If she reads further 40 pages, she would have read $\frac{7}{10} t h$ pages of the book. How many pages are left to be read?

12831.

Question 61 Reenu read 15th pages of a book. If she reads further 40 pages, she would have read 710th pages of the book. How many pages are left to be read?

Answer»

Question 61

Reenu read $\frac{1}{5} t h$ pages of a book. If she reads further 40 pages, she would have read $\frac{7}{10} t h$ pages of the book. How many pages are left to be read?

Discussion

12832.	What will be the angle in each sector that is to be considered?
Answer» What will be the angle in each sector that is to be considered?

Discussion

12833.	In the given figure, ∆AHK is similar to ∆ABC. If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC.
Answer» In the given figure, ∆AHK is similar to ∆ABC. If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC.

Discussion

12834.	60. % by volume is equal to?
Answer» 60. % by volume is equal to?

Discussion

12835.	Write the formula for the area of a sector of angle θ (in degrees) of a circle of radius r.
Answer» Write the formula for the area of a sector of angle $θ$ (in degrees) of a circle of radius r.

Discussion

12836.	In the figure, PQRS is a parallelogram with PQ = 16 cm and QR = 10 cm. L is a point Q on PR such that RL: LP = 2:3. QL produced meets RS at M and PS produced at N. Find the lengths of PN and RM.
Answer» In the figure, PQRS is a parallelogram with PQ = 16 cm and QR = 10 cm. L is a point Q on PR such that RL: LP = 2:3. QL produced meets RS at M and PS produced at N. Find the lengths of PN and RM.

Discussion

12837.	Three coins are tossed together. Find the probability of getting : (i) exactly two heads (ii) at most two heads (iii) at least one head and one tail (iv) no tails
Answer» Three coins are tossed together. Find the probability of getting : (i) exactly two heads (ii) at most two heads (iii) at least one head and one tail (iv) no tails

12837.

Three coins are tossed together. Find the probability of getting : (i) exactly two heads (ii) at most two heads (iii) at least one head and one tail (iv) no tails

Answer»

Three coins are tossed together. Find the probability of getting :

(i) exactly two heads

(ii) at most two heads

(iii) at least one head and one tail

(iv) no tails

Discussion

12838.	Consider the arithmetic sequences 3, 5, 7, ….. and 4, 6, 8, ….. How much more is the sum of the first 25 terms of the second than the sum of the first 25 terms of the first?
Answer» Consider the arithmetic sequences 3, 5, 7, ….. and 4, 6, 8, ….. How much more is the sum of the first 25 terms of the second than the sum of the first 25 terms of the first?

Discussion

12839.	Find x and y if (2x003y) is a scalar matrix whose diagonal element is 12
Answer» Find x and y if $(\begin{matrix} 2 x & 0 0 & 3 y \end{matrix})$ is a scalar matrix whose diagonal element is 12

Discussion

12840.	The sides of certain triangles are given below. Determine which of them are right triangles.(i) a = 7 cm, b = 24 cm and c = 25 cm(ii) a = 9 cm, b = 16 cm and c = 18 cm(iii) a = 1.6 cm, b = 3.8 cm and c = 4 cm(iv) a = 8 cm, b = 10 cm and c = 6 cm
Answer» The sides of certain triangles are given below. Determine which of them are right triangles. (i) a = 7 cm, b = 24 cm and c = 25 cm (ii) a = 9 cm, b = 16 cm and c = 18 cm (iii) a = 1.6 cm, b = 3.8 cm and c = 4 cm (iv) a = 8 cm, b = 10 cm and c = 6 cm

Discussion

12841.	One ticket is selected at random from 50 tickets numbered 00, 01, 02, ...., 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals
Answer» One ticket is selected at random from 50 tickets numbered 00, 01, 02, ...., 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

Discussion

12842.	Prove that: SinA/cotA+cosecA =2+(sinA/cotA - cosecA)
Answer» Prove that: SinA/cotA+cosecA =2+(sinA/cotA - cosecA)

12842.

Prove that: SinA/cotA+cosecA =2+(sinA/cotA - cosecA)

Answer»

Prove that:

SinA/cotA+cosecA =2+(sinA/cotA - cosecA)

Discussion

12843.	Find the equation of director circle of the circle (x−1)2+(y−2)2=4
Answer» Find the equation of director circle of the circle $(x - 1)^{2} + (y - 2)^{2} = 4$

Discussion

12844.	The weights of tea in 70 packets are shown in the following table: Weights(in grams)200−01201−202202−203203−204204−205205−206Number ofpackets1327181011 Find the mean weight of packets using step-deviation method.
Answer» The weights of tea in $70$ packets are shown in the following table: $\begin{matrix} Weights (in grams) & 200 - 01 & 201 - 202 & 202 - 203 & 203 - 204 & 204 - 205 & 205 - 206 Number of packets & 13 & 27 & 18 & 10 & 1 & 1 \end{matrix}$ Find the mean weight of packets using step-deviation method.

Discussion

12845.	The area of triangle whose vertices are are the incentre,centroid and circumcentre of a triangle with sides 14,50,48 is
Answer» The area of triangle whose vertices are are the incentre,centroid and circumcentre of a triangle with sides 14,50,48 is

Discussion

12846.	The equivalent expression for the following Boolean expression is/areF(A,B,C,D)=B¯¯¯¯¯D+¯¯¯¯BCD+ABC+AB¯¯¯¯CD+¯¯¯¯B ¯¯¯¯¯D
Answer» The equivalent expression for the following Boolean expression is/are $F (A, B, C, D) = B ¯ ¯¯¯ ¯ D + ¯ ¯¯ ¯ B C D + A B C + A B ¯ ¯¯ ¯ C D + ¯ ¯¯ ¯ B ¯ ¯¯¯ ¯ D$

12846.

The equivalent expression for the following Boolean expression is/areF(A,B,C,D)=B¯¯¯¯¯D+¯¯¯¯BCD+ABC+AB¯¯¯¯CD+¯¯¯¯B ¯¯¯¯¯D

Answer»

The equivalent expression for the following Boolean expression is/are

$F (A, B, C, D) = B ¯ ¯¯¯ ¯ D + ¯ ¯¯ ¯ B C D + A B C + A B ¯ ¯¯ ¯ C D + ¯ ¯¯ ¯ B ¯ ¯¯¯ ¯ D$

Discussion

12847.	The first term of an arithmetic sequence is 200. The common difference is -10. Find the value of20th term.
Answer» The first term of an arithmetic sequence is 200. The common difference is -10. Find the value of $20^{t h}$ term.

Discussion

12848.	Which of the following cannot be the probability of an event?
Answer» Which of the following cannot be the probability of an event?

Discussion

12849.	Solve the following riddles, you may yourself construct such riddles.Who am I?(i) Go round a squareCounting every cornerThrice and no more!Add the count to meTo get exactly thirty four!(ii) For each day of the weekMake an upcount from meIf you make no mistakeYou will get twenty three!(iii) I am a special numberTake away from me a six!A whole cricket teamYou will still be able to fix!(iv) Tell me who I amI shall give a pretty clue!You will get me backIf you take me out of twenty two!
Answer» Solve the following riddles, you may yourself construct such riddles. Who am I? (i) Go round a square Counting every corner Thrice and no more! Add the count to me To get exactly thirty four! (ii) For each day of the week Make an upcount from me If you make no mistake You will get twenty three! (iii) I am a special number Take away from me a six! A whole cricket team You will still be able to fix! (iv) Tell me who I am I shall give a pretty clue! You will get me back If you take me out of twenty two!

12849.

Solve the following riddles, you may yourself construct such riddles.Who am I?(i) Go round a squareCounting every cornerThrice and no more!Add the count to meTo get exactly thirty four!(ii) For each day of the weekMake an upcount from meIf you make no mistakeYou will get twenty three!(iii) I am a special numberTake away from me a six!A whole cricket teamYou will still be able to fix!(iv) Tell me who I amI shall give a pretty clue!You will get me backIf you take me out of twenty two!

Answer»

Solve the following riddles, you may yourself construct such riddles.

Who am I?

(i) Go round a square

Counting every corner

Thrice and no more!

Add the count to me

To get exactly thirty four!

(ii) For each day of the week

Make an upcount from me

If you make no mistake

You will get twenty three!

(iii) I am a special number

Take away from me a six!

A whole cricket team

You will still be able to fix!

(iv) Tell me who I am

I shall give a pretty clue!

You will get me back

If you take me out of twenty two!

Discussion

12850.	Amit and Vijay started a partnership business on 1st April, 2018. Their capital contributions were ₹ 2,00,000 and ₹ 1,50,000 respectively. The Partnership Deed provided as follows:(a) Interest on capital be allowed 10% p.a.(b) Amit to get a salary of ₹ 2,000 per month and Vijay ₹ 3,000 per month.(c) Profits are to be shared in the ratio of 3 : 2.Net profit for the year ended 31st March, 2019 was ₹ 2,16,000. Interest on drawings amounted to ₹ 2,200 for Amit and ₹ 2,500 for Vijay.Prepare Profit and Loss Appropriation Account.
Answer» Amit and Vijay started a partnership business on 1st April, 2018. Their capital contributions were ₹ 2,00,000 and ₹ 1,50,000 respectively. The Partnership Deed provided as follows: (a) Interest on capital be allowed 10% p.a. (b) Amit to get a salary of ₹ 2,000 per month and Vijay ₹ 3,000 per month. (c) Profits are to be shared in the ratio of 3 : 2. Net profit for the year ended 31st March, 2019 was ₹ 2,16,000. Interest on drawings amounted to ₹ 2,200 for Amit and ₹ 2,500 for Vijay. Prepare Profit and Loss Appropriation Account.

Discussion

Explore topic-wise InterviewSolutions in .

How many three digit numbers leave a remainder 3 on division by 4?

Factorise the following polynomial.xy(z2+1)+z(x2+y2)

Assertion: A cone is a solid figure. Reason: A cone is generated when rectangular sheet is rotated about its axis. Which of the following is correct?

A manufacturer produces an article and sells it to a wholesaler at a price of ₹ 500 and wholesaler sells it to retailer at a price of ₹ 600. The retailer sells it to the customer at a price of ₹ 800. If the sales tax charged is 5%. Find the total tax charged by the government under VAT.

For what value/s of k, the quadratic equation 2kx2+6kx+9=0 has no real roots?

Using Euclids division lemma show that any positive odd integer in the form of 6q+1,6q+3,6q+5.where q is some integer

Which of the following could be thenth term of any AP?

If the side of a regular hexagon is 8 cm, then its circumradius is equal to ____

Question 3 (iv)In the following APs, find the missing term in the boxes.

Factorise: (i) 4√3x2+5x−2√3 (ii) 7√2x2−10x−4√2

A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume.The heap is to be covered by canvas to protect it from the rain. Find the area of the canvas required (in m2).[Assume π=227]99.825

The reciprocals of the natural in order give Is it an arithmetic sequence?

Find the value of the trigonometric functions of sin (−11π3).

The sequence of numbers 5, - 2, -9, -16, ... is

The slope of a line joining P(6, k) and Q(1-3k, 3) is 12. Find : (i) k. (ii) mid-point of PQ, using the value of ‘k’ found in (i).

In a triangle ABC right angled at B,∠ACB=θ.If tanθ=512, then find the value of (1+cos θ)×(1−sinθ)(1+sinθ)×(1−cosθ).

The speed of a boat in still water is 15 km/hr. It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream. [CBSE 2017]

If △ABC is similar to △PQR, then find the value of x.

A chime is made of 3 identical spherical balls of density 363 g/cm3. If mass of each ball is 49 g, then find radius of each ball.Take π=227

In a triangle BMP and CNR it is given that PB = 5 cm, MP = 6 cm, BM = 9 cm and NR = 9 cm. If △BMP ∼ △CNR, then find the perimeter of the △CNR

ABCD is a flower bed. If OA = 21m and OC = 14m. Find the area of the bed in m2.

Identify the line segment.

Construct ∆ABC such that m∠A = 55°, m∠B = 60°, and l(AB) = 5.9 cm.

The circumference of the base of a cone is 44 cm and its slant height is 25 cm. Find the volume of the cone.

Question 10Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

Which term of the AP 20, 1914, 1812, 1734, ... is its first negative term?

The points A (2, 9), B (a, 5) and C (5,5) are the vertices of a triangle ABC right angled at B. Find the values of a and hence the area of △ABC.

A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, then find the volume of water already used from the tank.

The following table given the number of branches and number of plants in the garden of a school. No. of branches (x): 2 3 4 5 6 No. of plants (f): 49 43 57 38 13

Question 61 Reenu read 15th pages of a book. If she reads further 40 pages, she would have read 710th pages of the book. How many pages are left to be read?

What will be the angle in each sector that is to be considered?

In the given figure, ∆AHK is similar to ∆ABC. If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC.

60. % by volume is equal to?

Write the formula for the area of a sector of angle θ (in degrees) of a circle of radius r.

In the figure, PQRS is a parallelogram with PQ = 16 cm and QR = 10 cm. L is a point Q on PR such that RL: LP = 2:3. QL produced meets RS at M and PS produced at N. Find the lengths of PN and RM.

Three coins are tossed together. Find the probability of getting : (i) exactly two heads (ii) at most two heads (iii) at least one head and one tail (iv) no tails

Consider the arithmetic sequences 3, 5, 7, ….. and 4, 6, 8, ….. How much more is the sum of the first 25 terms of the second than the sum of the first 25 terms of the first?

Find x and y if (2x003y) is a scalar matrix whose diagonal element is 12

The sides of certain triangles are given below. Determine which of them are right triangles.(i) a = 7 cm, b = 24 cm and c = 25 cm(ii) a = 9 cm, b = 16 cm and c = 18 cm(iii) a = 1.6 cm, b = 3.8 cm and c = 4 cm(iv) a = 8 cm, b = 10 cm and c = 6 cm

One ticket is selected at random from 50 tickets numbered 00, 01, 02, ...., 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

Prove that: SinA/cotA+cosecA =2+(sinA/cotA - cosecA)

Find the equation of director circle of the circle (x−1)2+(y−2)2=4

The weights of tea in 70 packets are shown in the following table: Weights(in grams)200−01201−202202−203203−204204−205205−206Number ofpackets1327181011 Find the mean weight of packets using step-deviation method.

The area of triangle whose vertices are are the incentre,centroid and circumcentre of a triangle with sides 14,50,48 is

The equivalent expression for the following Boolean expression is/areF(A,B,C,D)=B¯¯¯¯¯D+¯¯¯¯BCD+ABC+AB¯¯¯¯CD+¯¯¯¯B ¯¯¯¯¯D

The first term of an arithmetic sequence is 200. The common difference is -10. Find the value of20th term.

Which of the following cannot be the probability of an event?