32581 + Interview Questions in Mathematics Page 119 InterviewSolution

5901.	62. Find the equation of line passing through (3,4) and making intercepts equal in magnitude but opposite in sign on both the axis
Answer» 62. Find the equation of line passing through (3,4) and making intercepts equal in magnitude but opposite in sign on both the axis

Discussion

5902.	The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. Find the ratio of their corresponding heights. What is the ratio of their corresponding medians?
Answer» The areas of two similar triangles are 81 cm² and 49 cm²respectively. Find the ratio of their corresponding heights. What is the ratio of their corresponding medians?

Discussion

5903.

Himalaya Company Limited issued for public subscription 1,20,000 equity shares of ₹ 10 each at a premium for ₹ 2 per share payable as under: With Application — ₹ 3 per share, On allotment (including premium) — ₹ 5 per share, On First call — ₹ 2 per share On Second and Final call — ₹ 2 per share. Applications were received for 1,60,000 shares . Allotment was made on pro rata basis . Excess money on application were adjusted against the amount due on allotment.Rohan to whom 4,800 shares were allotted failed to pay for the two calls. These shares were subsequently forfeited after the second call was made . All the shares forfeited were reissued to Teena as fully paid at ₹ 7 per share.Record journal entries and show the transactions relating to share capital in the company's Balance Sheet.

Answer» Himalaya Company Limited issued for public subscription 1,20,000 equity shares of ₹ 10 each at a premium for ₹ 2 per share payable as under:

With Application	$—$	₹ 3 per share,
On allotment (including premium)	$—$	₹ 5 per share,
On First call	$—$	₹ 2 per share
On Second and Final call	$—$	₹ 2 per share.

Applications were received for 1,60,000 shares . Allotment was made on pro rata basis . Excess money on application were adjusted against the amount due on allotment.

Rohan to whom 4,800 shares were allotted failed to pay for the two calls. These shares were subsequently forfeited after the second call was made . All the shares forfeited were reissued to Teena as fully paid at ₹ 7 per share.

Record journal entries and show the transactions relating to share capital in the company's Balance Sheet.

Discussion

5904.	In the given figure, BCAC = 2425 .Find the value of cosec2A – cot2A = __
Answer» In the given figure, $\frac{B C}{A C}$ = $\frac{24}{25}$ .Find the value of $c o s e c^{2} A$ – $c o t^{2} A$ = __

5904.

In the given figure, BCAC = 2425 .Find the value of cosec2A – cot2A = __

Answer»

In the given figure, $\frac{B C}{A C}$ = $\frac{24}{25}$ .Find the value of $c o s e c^{2} A$ – $c o t^{2} A$ =

__

Discussion

5905.	The pair of linear equations 3x + 2y = 5; 2x − 3y = 7 have(a) One solution(b) Two solutions(c) Many solutions(d) No solution
Answer» The pair of linear equations 3x + 2y = 5; 2x − 3y = 7 have (a) One solution (b) Two solutions (c) Many solutions (d) No solution

Discussion

5906.	Let →a=^i−^j,→b=^j−^k and →c=^k−^i. If →d is a unit vector, such that →a⋅→d=0=[→b→c→d], then →d is:
Answer» Let $\to a =^i -^j, \to b =^j -^k$ and $\to c =^k -^i$ . If $\to d$ is a unit vector, such that $\to a \cdot \to d = 0 = [\to b \to c \to d]$ , then $\to d$ is:

Discussion

5907.	Find the greatest number which divides 285 and 1245 leaving remainders 9 & 7 respectively .
Answer» Find the greatest number which divides 285 and 1245 leaving remainders 9 & 7 respectively .

Discussion

5908.	An equilateral triangle is drawn inside a circle as shown. If we put a dot in it without looking into the picture, find the probability of the dot being outside the triangle?
Answer» An equilateral triangle is drawn inside a circle as shown. If we put a dot in it without looking into the picture, find the probability of the dot being outside the triangle?

Discussion

5909.	In Fig. 8.79, PQ is a tangent from an external point P to a circle with centre O and OP cuts the circle at T and QOR is a diameter. If ∠POR = 130° and S is a point on the circle, find ∠1 + ∠2.
Answer» In Fig. 8.79, PQ is a tangent from an external point P to a circle with centre O and OP cuts the circle at T and QOR is a diameter. If ∠POR = 130° and S is a point on the circle, find ∠1 + ∠2.

Discussion

5910.	How to draw a graph of polynomial x cube - 4 x
Answer» How to draw a graph of polynomial x cube - 4 x

Discussion

5911.	The solution set for the given inequations, 8 < 2x -4 and 3x +1 < 46 x∈R on the number line is___________.
Answer» The solution set for the given inequations, 8 < 2x -4 and 3x +1 < 46 $x \in R$ on the number line is___________.

Discussion

5912.	Prove the following trigonometric identities.(sec2 θ − 1) (cosec2 θ − 1) = 1
Answer» Prove the following trigonometric identities. (sec² θ − 1) (cosec² θ − 1) = 1

Discussion

5913.	Solve the following quadratic equations by factorization:1x-2+2x-1=6x, x≠0
Answer» Solve the following quadratic equations by factorization: $\frac{1}{x - 2} + \frac{2}{x - 1} = \frac{6}{x}, x \neq 0$

Discussion

5914.	Find two consecutive multiples of 3 whose product is 648.
Answer» Find two consecutive multiples of 3 whose product is 648.

Discussion

5915.	The probability of getting a red card from a well shuffled pack of 52 cards is___
Answer» The probability of getting a red card from a well shuffled pack of 52 cards is___

Discussion

5916.	(i) Find the derivative of cosec x from the first principle. (ii) Evaluate limx→√2x4−4x2+3√2x−8
Answer» (i) Find the derivative of cosec x from the first principle. (ii) Evaluate $l i m_{x \to \sqrt{2}} \frac{x^{4} - 4}{x^{2} + 3 \sqrt{2} x - 8}$

5916.

(i) Find the derivative of cosec x from the first principle. (ii) Evaluate limx→√2x4−4x2+3√2x−8

Answer»

(i) Find the derivative of cosec x from the first principle.

(ii) Evaluate $l i m_{x \to \sqrt{2}} \frac{x^{4} - 4}{x^{2} + 3 \sqrt{2} x - 8}$

Discussion

5917.	The car hire charges in a city comprise of a fixed charges together with the charge for the distance covered. For a journey of 12 km, the charge paid is Rs 89 and the journey of 20 km, the charge paid is Rs 145. What will a person have to pay for travelling a distance of 30 km?
Answer» The car hire charges in a city comprise of a fixed charges together with the charge for the distance covered. For a journey of 12 km, the charge paid is Rs 89 and the journey of 20 km, the charge paid is Rs 145. What will a person have to pay for travelling a distance of 30 km?

Discussion

5918.	Find the coordinates of the other three vertices of the rectangle in the figure below:The unit of length used in this centimetres. What is actual width and height of this rectangle?
Answer» Find the coordinates of the other three vertices of the rectangle in the figure below: The unit of length used in this centimetres. What is actual width and height of this rectangle?

5918.

Find the coordinates of the other three vertices of the rectangle in the figure below:The unit of length used in this centimetres. What is actual width and height of this rectangle?

Answer»

Find the coordinates of the other three vertices of the rectangle in the figure below:

The unit of length used in this centimetres. What is actual width and height of this rectangle?

Discussion

5919.	An open bucket is in the form of a frustum of height 21 cm...radii of the upper and lower ends as 20 cm and10cm respectively.. find the cost of milk which can completely fill it the rate of 30Rs per litre..
Answer» An open bucket is in the form of a frustum of height 21 cm...radii of the upper and lower ends as 20 cm and10cm respectively.. find the cost of milk which can completely fill it the rate of 30Rs per litre..

Discussion

5920.	N(U)=14,n((A-B)^c)=12,n(A union B)=9 and n(A∆B)=7 then find n(A) ,n(B)
Answer» N(U)=14,n((A-B)^c)=12,n(A union B)=9 and n(A∆B)=7 then find n(A) ,n(B)

Discussion

5921.	Let ABCD be a square of side length l, and Γ a circle passing through B and C, and touching AD. The radius of Γ is
Answer» Let ABCD be a square of side length l, and $Γ$ a circle passing through B and C, and touching AD. The radius of $Γ$ is

Discussion

5922.	A man walks toward the right for 80 cm take a right walks for 100 cm, take a left walk for 40 cm. again take left and walks for 150 cm and stops. The distance from him to initial point is ____________(Enter in digits)
Answer» A man walks toward the right for 80 cm take a right walks for 100 cm, take a left walk for 40 cm. again take left and walks for 150 cm and stops. The distance from him to initial point is ____________(Enter in digits)

Discussion

5923.	Find the common difference of the given AP: 34,1,114.........
Answer» Find the common difference of the given AP: $\frac{3}{4}, 1, 1 \frac{1}{4}$ .........

Discussion

5924.	Find the ratio AC:BC for the following construction method. A ray AX is extended from A and 13 arcs of equal lengths are cut, cutting the ray at A1, A2… A13. Another ray parallel to AX is extended from B and 2 arcs of equal lengths are cut, cutting the ray at B1 and B2. Line joining A13 and B2 cuts AB at C.
Answer» Find the ratio AC:BC for the following construction method. A ray AX is extended from A and 13 arcs of equal lengths are cut, cutting the ray at A1, A2… A13. Another ray parallel to AX is extended from B and 2 arcs of equal lengths are cut, cutting the ray at B1 and B2. Line joining A13 and B2 cuts AB at C.

Discussion

5925.	ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, QC = 4.5 m, prove that the area of ∆APQ is one-sixteenth of the area of ∆ABC.
Answer» ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, QC = 4.5 m, prove that the area of ∆APQ is one-sixteenth of the area of ∆ABC.

Discussion

5926.	Given that sin A =12 and cos B =1√2, then the value of (A+B) is ____.(Here, 0<A+B≤90∘)
Answer» Given that $sin A = \frac{1}{2}$ and $cos B = \frac{1}{\sqrt{2}}$ , then the value of $(A + B)$ is ____. $(H e r e, 0 < A + B \leq 90^{\circ})$

Discussion

5927.	Anshul and Asha are partners sharing profits and losses in the ratio of 3 : 2. Anshul being a non-working partner contributed ₹ 8,00,000 as her capital. Asha being a working partner did not contribute capital. The partnership Deed provides for interest on capital 5% and salary to every working partner ₹ 2,000 per month. Net profit (before providing for interest on capital and partner's salary) for the year ended 31st March, 2019 was ₹ 32,000.
Answer» Anshul and Asha are partners sharing profits and losses in the ratio of 3 : 2. Anshul being a non-working partner contributed ₹ 8,00,000 as her capital. Asha being a working partner did not contribute capital. The partnership Deed provides for interest on capital 5% and salary to every working partner ₹ 2,000 per month. Net profit (before providing for interest on capital and partner's salary) for the year ended 31st March, 2019 was ₹ 32,000.

Discussion

5928.	Kiran purchases an article for Rs.5,400 which includes 10% rebate on marked price & 20% sales tax on remaining price. Find the marked price of the article.
Answer» Kiran purchases an article for Rs.5,400 which includes 10% rebate on marked price & 20% sales tax on remaining price. Find the marked price of the article.

Discussion

5929.	tan-1 tan2π3is equal to __________________.
Answer» tan^-1 $(\tan \frac{2 π}{3})$ is equal to __________________.

Discussion

5930.	If xa=yb=zc, then x3a3+y3b3+z3c3is equal to .
Answer» If $\frac{x}{a} = \frac{y}{b} = \frac{z}{c}$ , then $\frac{x^{3}}{a^{3}} + \frac{y^{3}}{b^{3}} + \frac{z^{3}}{c^{3}}$ is equal to .

Discussion

5931.	State the type of the conditional clause in the sentence. I will look into your complaint if it comes to my table.
Answer» State the type of the conditional clause in the sentence. I will look into your complaint if it comes to my table.

Discussion

5932.	sin A−2 sin3A2 cos3A−cos A=
Answer» $\frac{sin A - 2 {sin}^{3} A}{2 {cos}^{3} A - cos A} =$

Discussion

5933.	A circle is inserted inside a square, such that the edge of the circle touches the sides of the square.If X = 14 cm, the area of the shaded portion will be __sq.cm.
Answer» A circle is inserted inside a square, such that the edge of the circle touches the sides of the square.If X = 14 cm, the area of the shaded portion will be __sq.cm.

5933.

A circle is inserted inside a square, such that the edge of the circle touches the sides of the square.If X = 14 cm, the area of the shaded portion will be __sq.cm.

Answer»

A circle is inserted inside a square, such that the edge of the circle touches the sides of the square.If X = 14 cm, the area of the shaded portion will be __sq.cm.

Discussion

5934.	Question 5 Which of the following equations has the sum of its roots as 3? (a) 2x2−3x+6=0 (b) −x2+3x−3=0 (c) √2x2−3√2x+1=0 (d) 3x2−3x+3=0
Answer» Question 5 Which of the following equations has the sum of its roots as 3? (a) $2 x^{2} - 3 x + 6 = 0$ (b) $- x^{2} + 3 x - 3 = 0$ (c) $\sqrt{2} x^{2} - \frac{3}{\sqrt{2}} x + 1 = 0$ (d) $3 x^{2} - 3 x + 3 = 0$

Discussion

5935.	37. Six boys and six girls sit in a row randomly . The probability that all girls sit together is
Answer» 37. Six boys and six girls sit in a row randomly . The probability that all girls sit together is

Discussion

5936.	An urn 6 blue and x green balls. If the probability of drawing a green ball is double that of drawing a blue ball, then x = _________.
Answer» An urn 6 blue and x green balls. If the probability of drawing a green ball is double that of drawing a blue ball, then x = _________.

Discussion

5937.	If cos2θ=sin4θ, where 2θ and 4θ are acute angles, then find the value of θ.
Answer» $If \cos 2 θ = \sin 4 θ, where 2 θ and 4 θ are acute angles, then find the value of θ .$

Discussion

5938.	In triangle ABC,if angle B=90°,AB=4√5 units,BD perpendicular toAC, AD= 4 units, then ar(∆ABC) is equal to
Answer» In triangle ABC,if angle B=90°,AB=4√5 units,BD perpendicular toAC, AD= 4 units, then ar(∆ABC) is equal to

Discussion

5939.	If sinA+cosA=√2cosA then the value of cos A - sin A = ?
Answer» If $s i n A + c o s A = \sqrt{2} c o s A$ then the value of cos A - sin A = ?

Discussion

5940.	From the top of a 50 m high tower, the angles of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. Find the height of the pole.
Answer» From the top of a 50 m high tower, the angles of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. Find the height of the pole.

Discussion

5941.	If sin θ=a2−b2a2+b2, find the values of all T-ratios of θ
Answer» If sin $θ = \frac{a^{2} - b^{2}}{a^{2} + b^{2}}$ , find the values of all T-ratios of $θ$

Discussion

5942.	Question 18 The product 3√2.4√2.12√32 equals to Thinking process Take the LCM of indices of three irrational numbers. Then, convert all individually in the from whose index will be equal to LCM. A) √2 B) 2 C) 12√2 D) 12√32
Answer» Question 18 The product $\sqrt[3]{2} . \sqrt[4]{2} . \sqrt[12]{32}$ equals to Thinking process Take the LCM of indices of three irrational numbers. Then, convert all individually in the from whose index will be equal to LCM. A) $\sqrt{2}$ B) $2$ C) $\sqrt[12]{2}$ D) $\sqrt[12]{32}$

Discussion

5943.	What is the value of 9cot2 θ − 9cosec2 θ?
Answer» What is the value of 9cot² θ − 9cosec² θ?

Discussion

5944.	A tent consists of a frustum of a cone capped by a cone. If the radii of the ends of the frustum be 13 m and 7 m , the height of the frustum be 8 m and the slant height of the conical cap be 12 m, find the canvas required for the tent.(Take : π = 22/7)
Answer» A tent consists of a frustum of a cone capped by a cone. If the radii of the ends of the frustum be 13 m and 7 m , the height of the frustum be 8 m and the slant height of the conical cap be 12 m, find the canvas required for the tent. (Take : π = 22/7)

Discussion

5945.	cot2a(seca-1)/1+sina- sec2a(1-sina/1+seca) =
Answer» cot2a(seca-1)/1+sina- sec2a(1-sina/1+seca) =

Discussion

5946.	Suppose you ask someone to say a two-digit number.(i)What is the probability of this number having both digits the same?(ii)What is the probability of the first digit being larger than the second?(iii)What is the probability of the first digit being smaller than the second?
Answer» Suppose you ask someone to say a two-digit number. (i) What is the probability of this number having both digits the same? (ii) What is the probability of the first digit being larger than the second? (iii) What is the probability of the first digit being smaller than the second?

5946.

Suppose you ask someone to say a two-digit number.(i)What is the probability of this number having both digits the same?(ii)What is the probability of the first digit being larger than the second?(iii)What is the probability of the first digit being smaller than the second?

Answer»

Suppose you ask someone to say a two-digit number.

(i)

What is the probability of this number having both digits the same?

(ii)

What is the probability of the first digit being larger than the second?

(iii)

What is the probability of the first digit being smaller than the second?

Discussion

5947.	The lengths of the diagonals of a rhombus are 30 cm and 40 cm. Find the side of the rhombus.
Answer» The lengths of the diagonals of a rhombus are 30 cm and 40 cm. Find the side of the rhombus.

Discussion

5948.	Solve for x and y 99x + 101y=499xy 101x +99y= 501xy
Answer» Solve for x and y 99x + 101y=499xy 101x +99y= 501xy

5948.

Solve for x and y 99x + 101y=499xy 101x +99y= 501xy

Answer»

Solve for x and y

99x + 101y=499xy

101x +99y= 501xy

Discussion

5949.	48 ice-creams are placed on a table. Some are chocolate flavoured and others are vanilla flavoured. If a person takes an ice-cream at random from the table, the probability that it is chocolate flavoured is 23. Find the number of vanilla flavoured ice-creams on the table.
Answer» 48 ice-creams are placed on a table. Some are chocolate flavoured and others are vanilla flavoured. If a person takes an ice-cream at random from the table, the probability that it is chocolate flavoured is $\frac{2}{3}$ . Find the number of vanilla flavoured ice-creams on the table.

Discussion

5950.	Question 29(ii)The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now, one card is drawn at random from the remaining cards. What is the probability that the card is 10 of hearts?
Answer» Question 29(ii) The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now, one card is drawn at random from the remaining cards. What is the probability that the card is 10 of hearts?

Discussion

Explore topic-wise InterviewSolutions in .

62. Find the equation of line passing through (3,4) and making intercepts equal in magnitude but opposite in sign on both the axis

The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. Find the ratio of their corresponding heights. What is the ratio of their corresponding medians?

In the given figure, BCAC = 2425 .Find the value of cosec2A – cot2A = __

The pair of linear equations 3x + 2y = 5; 2x − 3y = 7 have(a) One solution(b) Two solutions(c) Many solutions(d) No solution

Let →a=^i−^j,→b=^j−^k and →c=^k−^i. If →d is a unit vector, such that →a⋅→d=0=[→b→c→d], then →d is:

Find the greatest number which divides 285 and 1245 leaving remainders 9 &amp; 7 respectively .

An equilateral triangle is drawn inside a circle as shown. If we put a dot in it without looking into the picture, find the probability of the dot being outside the triangle?

In Fig. 8.79, PQ is a tangent from an external point P to a circle with centre O and OP cuts the circle at T and QOR is a diameter. If ∠POR = 130° and S is a point on the circle, find ∠1 + ∠2.

How to draw a graph of polynomial x cube - 4 x

The solution set for the given inequations, 8 &lt; 2x -4 and 3x +1 &lt; 46 x∈R on the number line is___________.

Prove the following trigonometric identities.(sec2 θ − 1) (cosec2 θ − 1) = 1

Solve the following quadratic equations by factorization:1x-2+2x-1=6x, x≠0

Find two consecutive multiples of 3 whose product is 648.

The probability of getting a red card from a well shuffled pack of 52 cards is___

(i) Find the derivative of cosec x from the first principle. (ii) Evaluate limx→√2x4−4x2+3√2x−8

The car hire charges in a city comprise of a fixed charges together with the charge for the distance covered. For a journey of 12 km, the charge paid is Rs 89 and the journey of 20 km, the charge paid is Rs 145. What will a person have to pay for travelling a distance of 30 km?

Find the coordinates of the other three vertices of the rectangle in the figure below:The unit of length used in this centimetres. What is actual width and height of this rectangle?

An open bucket is in the form of a frustum of height 21 cm...radii of the upper and lower ends as 20 cm and10cm respectively.. find the cost of milk which can completely fill it the rate of 30Rs per litre..

N(U)=14,n((A-B)^c)=12,n(A union B)=9 and n(A∆B)=7 then find n(A) ,n(B)

Let ABCD be a square of side length l, and Γ a circle passing through B and C, and touching AD. The radius of Γ is

A man walks toward the right for 80 cm take a right walks for 100 cm, take a left walk for 40 cm. again take left and walks for 150 cm and stops. The distance from him to initial point is ____________(Enter in digits)

Find the common difference of the given AP: 34,1,114.........

ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, QC = 4.5 m, prove that the area of ∆APQ is one-sixteenth of the area of ∆ABC.

Given that sin A =12 and cos B =1√2, then the value of (A+B) is ____.(Here, 0&lt;A+B≤90∘)

Kiran purchases an article for Rs.5,400 which includes 10% rebate on marked price &amp; 20% sales tax on remaining price. Find the marked price of the article.

tan-1 tan2π3is equal to __________________.

If xa=yb=zc, then x3a3+y3b3+z3c3is equal to .

State the type of the conditional clause in the sentence. I will look into your complaint if it comes to my table.

sin A−2 sin3A2 cos3A−cos A=

A circle is inserted inside a square, such that the edge of the circle touches the sides of the square.If X = 14 cm, the area of the shaded portion will be __sq.cm.

Question 5 Which of the following equations has the sum of its roots as 3? (a) 2x2−3x+6=0 (b) −x2+3x−3=0 (c) √2x2−3√2x+1=0​​​​​​​ (d) 3x2−3x+3=0​​​​​​​

37. Six boys and six girls sit in a row randomly . The probability that all girls sit together is

An urn 6 blue and x green balls. If the probability of drawing a green ball is double that of drawing a blue ball, then x = _________.

If cos2θ=sin4θ, where 2θ and 4θ are acute angles, then find the value of θ.

In triangle ABC,if angle B=90°,AB=4√5 units,BD perpendicular toAC, AD= 4 units, then ar(∆ABC) is equal to

If sinA+cosA=√2cosA then the value of cos A - sin A = ?

From the top of a 50 m high tower, the angles of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. Find the height of the pole.

If sin θ=a2−b2a2+b2, find the values of all T-ratios of θ

Question 18 The product 3√2.4√2.12√32 equals to Thinking process Take the LCM of indices of three irrational numbers. Then, convert all individually in the from whose index will be equal to LCM. A) √2 B) 2 C) 12√2 D) 12√32

What is the value of 9cot2 θ − 9cosec2 θ?

A tent consists of a frustum of a cone capped by a cone. If the radii of the ends of the frustum be 13 m and 7 m , the height of the frustum be 8 m and the slant height of the conical cap be 12 m, find the canvas required for the tent.(Take : π = 22/7)

cot2a(seca-1)/1+sina- sec2a(1-sina/1+seca) =

Suppose you ask someone to say a two-digit number.(i)What is the probability of this number having both digits the same?(ii)What is the probability of the first digit being larger than the second?(iii)What is the probability of the first digit being smaller than the second?

The lengths of the diagonals of a rhombus are 30 cm and 40 cm. Find the side of the rhombus.

Solve for x and y 99x + 101y=499xy 101x +99y= 501xy

48 ice-creams are placed on a table. Some are chocolate flavoured and others are vanilla flavoured. If a person takes an ice-cream at random from the table, the probability that it is chocolate flavoured is 23. Find the number of vanilla flavoured ice-creams on the table.

Question 29(ii)The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now, one card is drawn at random from the remaining cards. What is the probability that the card is 10 of hearts?

Find the greatest number which divides 285 and 1245 leaving remainders 9 & 7 respectively .

The solution set for the given inequations, 8 < 2x -4 and 3x +1 < 46 x∈R on the number line is___________.

Given that sin A =12 and cos B =1√2, then the value of (A+B) is ____.(Here, 0<A+B≤90∘)

Kiran purchases an article for Rs.5,400 which includes 10% rebate on marked price & 20% sales tax on remaining price. Find the marked price of the article.

Question 5 Which of the following equations has the sum of its roots as 3? (a) 2x2−3x+6=0 (b) −x2+3x−3=0 (c) √2x2−3√2x+1=0 (d) 3x2−3x+3=0