32581 + Interview Questions in Mathematics Page 236 InterviewSolution

11751.	The probability of getting a perfect square number in a single throw of a dice is ____.
Answer» The probability of getting a perfect square number in a single throw of a dice is ____.

Discussion

11752.	If D, E, F are the mid-points of sides BC, CA and AB respectively of ∆ABC, then the ratio of the areas of triangles DEF and ABC is(a) 1 : 4(b) 1 : 2(c) 2 : 3(d) 4 : 5
Answer» If D, E, F are the mid-points of sides BC, CA and AB respectively of ∆ABC, then the ratio of the areas of triangles DEF and ABC is (a) 1 : 4 (b) 1 : 2 (c) 2 : 3 (d) 4 : 5

Discussion

11753.	Question 2 (i)Are the following statements ‘True’ or False’? Justify your answer.i) If the zeroes of a quadratic polynomial ax2+bx+c are positive then a, b and c all have the same sign.
Answer» Question 2 (i) Are the following statements ‘True’ or False’? Justify your answer. i) If the zeroes of a quadratic polynomial $a x^{2} + b x + c$ are positive then a, b and c all have the same sign.

Discussion

11754.	The formula for lateral surface area of cone is:
Answer» The formula for lateral surface area of cone is:

11754.

The formula for lateral surface area of cone is:

Answer»

The formula for lateral surface area of cone is:

Discussion

11755.	In Fig. 15.76, O is the centre of circle of radius 28 cm. Find the area of minor segment ASB.
Answer» In Fig. 15.76, O is the centre of circle of radius 28 cm. Find the area of minor segment ASB.

Discussion

11756.	You are given a circle with radius 'r' and centre 'O'. You are asked to draw a pair of tangents which are inclined at an angle of 60° with each other, from a point E.Refer to the figure and select the option which would lead you to the required construction. The distance d is the distance OE.
Answer» You are given a circle with radius 'r' and centre 'O'. You are asked to draw a pair of tangents which are inclined at an angle of 60° with each other, from a point E. Refer to the figure and select the option which would lead you to the required construction. The distance d is the distance OE.

11756.

You are given a circle with radius 'r' and centre 'O'. You are asked to draw a pair of tangents which are inclined at an angle of 60° with each other, from a point E.Refer to the figure and select the option which would lead you to the required construction. The distance d is the distance OE.

Answer»

You are given a circle with radius 'r' and centre 'O'. You are asked to draw a pair of tangents which are inclined at an angle of 60° with each other, from a point E.

Refer to the figure and select the option which would lead you to the required construction. The distance d is the distance OE.

Discussion

11757.	Find the area of a rectangle, if the length of the rectangle is x and the breadth is twice the length.
Answer» Find the area of a rectangle, if the length of the rectangle is x and the breadth is twice the length.

Discussion

11758.

From the following information relating to the Ganesh Cricket Club, prepare Income and Expenditure Account for the year ended 31st March, 2018 and Balance Sheet as at that date. The summary of cash transactions is: RECEIPTS AND PAYMENTS ACCOUNT Dr. Cr. Receipts ₹ Payments ₹ To Opening Balance(cash) 10,000 By Upkeep of Fields 20,000 To Opening Balance (Cash at Bank) 20,000 By Tournament Expenses 7,000 To Member's Subscriptions 50,000 By Rates and Insurance 2,000 To Admission Fee 3,000 By Telephone 500 To Sale of Old Bats, etc 500 By Printing and Stationery 1,000 To Hire of Ground 3,000 By General Charges 500 To Subscriptions for Tournament 10,000 BySecretary's Honorarium 2,000 To Donations 1,00,000 By Bats, Balls, etc 7,000 By Closing Balance (Cash) 1,00,000 By Closing Balance (Cash at Bank) 56,500 1,96,500 1,96,500 Assets on 1st April, 2017: ₹ Stock of Bats and Balls 15,000 Printing and Stationery 2,000 Subscription Due 5,000 Subscriptions due on 31st March, 2018 amounted to ₹ 7,500 . Write off 50% of Bats, Balls (not considering sale ) and 25% of Printing and Stationery.

Answer» From the following information relating to the Ganesh Cricket Club, prepare Income and Expenditure Account for the year ended 31st March, 2018 and Balance Sheet as at that date. The summary of cash transactions is:

RECEIPTS AND PAYMENTS ACCOUNT
Dr.				Cr.
Receipts	₹	Payments	₹
To Opening Balance(cash)	10,000	By Upkeep of Fields	20,000
To Opening Balance (Cash at Bank)	20,000	By Tournament Expenses	7,000
To Member's Subscriptions	50,000	By Rates and Insurance	2,000
To Admission Fee	3,000	By Telephone	500
To Sale of Old Bats, etc	500	By Printing and Stationery	1,000
To Hire of Ground	3,000	By General Charges	500
To Subscriptions for Tournament	10,000	BySecretary's Honorarium	2,000
To Donations	1,00,000	By Bats, Balls, etc	7,000
		By Closing Balance (Cash)	1,00,000
		By Closing Balance (Cash at Bank)	56,500


	1,96,500		1,96,500

Assets on 1st April, 2017:

	₹
Stock of Bats and Balls	15,000
Printing and Stationery	2,000
Subscription Due	5,000

Subscriptions due on 31st March, 2018 amounted to ₹ 7,500 . Write off 50% of Bats, Balls (not considering sale ) and 25% of Printing and Stationery.

Discussion

11759.	Construct a ΔABC in which AB = 5 cm. ∠B = 60° altitude CD = cm. Construct a ΔAQR similar to ΔABC such that side ΔAQR is 1.5 times that of the corresponding sides of ΔACB
Answer» Construct a ΔABC in which AB = 5 cm. ∠B = 60° altitude CD = cm. Construct a ΔAQR similar to ΔABC such that side ΔAQR is 1.5 times that of the corresponding sides of ΔACB

Discussion

11760.	An archery target has three regions formed by three concentric circles as shown in Fig. If the diameters of the concentric circles are in the ratio 1:2:3, then find the ratio of the area of three regions.
Answer» An archery target has three regions formed by three concentric circles as shown in Fig. If the diameters of the concentric circles are in the ratio $1 : 2 : 3$ , then find the ratio of the area of three regions.

11760.

An archery target has three regions formed by three concentric circles as shown in Fig. If the diameters of the concentric circles are in the ratio 1:2:3, then find the ratio of the area of three regions.

Answer»

An archery target has three regions formed by three concentric circles as shown in Fig. If the diameters of the concentric circles are in the ratio $1 : 2 : 3$ , then find the ratio of the area of three regions.

Discussion

11761.	Find the middle term of sequence formed by all three digits number which leaves a reminder 5 when divided by 7.also find the sum of all number on both sides of the middle term separately.
Answer» Find the middle term of sequence formed by all three digits number which leaves a reminder 5 when divided by 7.also find the sum of all number on both sides of the middle term separately.

Discussion

11762.	The product of Ramu's age (in years) five years ago and his age (in years) nine years later is 15. Determine Ramu's present age.
Answer» The product of Ramu's age (in years) five years ago and his age (in years) nine years later is 15. Determine Ramu's present age.

Discussion

11763.	A lotus is 20 cm above the water surface in a pond and its stem is partly below the water surface. As the wind blew, the stem is pushed aside so that the lotus touched the water at 40 cm away from the original position of the stem. Originally how much of the stem was below the water surface? (From ‘Leelavathi’ of Bhaskaracharya).
Answer» A lotus is 20 cm above the water surface in a pond and its stem is partly below the water surface. As the wind blew, the stem is pushed aside so that the lotus touched the water at 40 cm away from the original position of the stem. Originally how much of the stem was below the water surface? (From ‘Leelavathi’ of Bhaskaracharya).

Discussion

11764.	a vector of magnitude 10 has its rec†an gular components as 8 and 6 along x and y axes.find the angles it make with these axe
Answer» a vector of magnitude 10 has its rec†an gular components as 8 and 6 along x and y axes.find the angles it make with these axe

Discussion

11765.	A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is(i) an odd number(ii) a multiple of 5(iii) a perfect square(iv) an even prime number
Answer» A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is (i) an odd number (ii) a multiple of 5 (iii) a perfect square (iv) an even prime number

Discussion

11766.	How to represent 4-square root of 2 in number line
Answer» How to represent 4-square root of 2 in number line

Discussion

11767.	The circle centred at (2, 3) and of radius 5, intersects the x-axis at A and B. Find the coordinates of A and B and also the length of the chord AB.
Answer» The circle centred at (2, 3) and of radius 5, intersects the x-axis at A and B. Find the coordinates of A and B and also the length of the chord AB.

Discussion

11768.	In triangle PQR, PM is perpendicular to RQ and N is a point on PM. Which of the following relations doesn’t hold true?
Answer» In triangle PQR, PM is perpendicular to RQ and N is a point on PM. Which of the following relations doesn’t hold true?

Discussion

11769.	How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3 ?
Answer» How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3 ?

Discussion

11770.	In the given figure, O is the centre of the circle, P and Q are the points on the circle. AB is the tangent drawn for the circle at P. If ∠ POQ is θ∘, then what is the value of cosec (θ−10)∘?
Answer» In the given figure, O is the centre of the circle, P and Q are the points on the circle. AB is the tangent drawn for the circle at P. If $∠ P O Q i s θ^{\circ}$ , then what is the value of cosec $(θ - 10)^{\circ} ?$

11770.

In the given figure, O is the centre of the circle, P and Q are the points on the circle. AB is the tangent drawn for the circle at P. If ∠ POQ is θ∘, then what is the value of cosec (θ−10)∘?

Answer»

In the given figure, O is the centre of the circle, P and Q are the points on the circle. AB is the tangent drawn for the circle at P. If $∠ P O Q i s θ^{\circ}$ , then what is the value of cosec $(θ - 10)^{\circ} ?$

Discussion

11771.	Question 2(iii)Represent the following situations in the form of quadratic equations.(iii) Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age.
Answer» Question 2(iii) Represent the following situations in the form of quadratic equations. (iii) Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age.

Discussion

11772.	If sin[90 - (A+B)] = cosx = cosy, find the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B=90∘)
Answer» If sin[90 - (A+B)] = cosx = cosy, find the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B= $90^{\circ}$ )

Discussion

11773.	A semicircle is constructed outwards on side BC of a triangle ABC as on the diameter. Given points K and L that divide the semicircle into 3 equal arcs, prove that lines AK and AL divide BC into 3 equal parts.
Answer» A semicircle is constructed outwards on side BC of a triangle ABC as on the diameter. Given points K and L that divide the semicircle into 3 equal arcs, prove that lines AK and AL divide BC into 3 equal parts.

Discussion

11774.	The length of tangent drawn from an external point P to a circle, with centre O, is 8 cm. If the radius of the circle is 6 cm, then the length of OP (in cm) is:
Answer» The length of tangent drawn from an external point P to a circle, with centre O, is 8 cm. If the radius of the circle is 6 cm, then the length of OP (in cm) is:

Discussion

11775.	If , are zeroes of the polynomial x2 − 2x − 15, then form a quadratic polynomial whose zeroes are (2) and (2).
Answer» If , are zeroes of the polynomial x² − 2x − 15, then form a quadratic polynomial whose zeroes are (2) and (2).

Discussion

11776.	A card is selected at random from a deck of 52 playing cards. The probability of not getting a face card is
Answer» A card is selected at random from a deck of 52 playing cards. The probability of not getting a face card is

Discussion

11777.	Area of the base of a cone is 300 sq. cm and height is 15 cm. Find the volume of the cone.
Answer» Area of the base of a cone is 300 sq. cm and height is 15 cm. Find the volume of the cone.

Discussion

11778.	Write x2 +10x+16 =0 in the form x2 +px+qx+16 =0 such that p x q = 16
Answer» Write $x^{2}$ +10x+16 =0 in the form $x^{2}$ +px+qx+16 =0 such that p x q = 16

Discussion

11779.	Find the value of y if the line passing through the points (3,y) and (2,7) is parallel to the line passing through the points (−1,4) and (0,6).
Answer» Find the value of $y$ if the line passing through the points $(3, y)$ and $(2, 7)$ is parallel to the line passing through the points $(- 1, 4)$ and $(0, 6)$ .

Discussion

11780.	The coordinates of the point P are (-3, 2). Find the coordinates of the point Q which lies on the line joining P and origin such that OP = OQ.
Answer» The coordinates of the point P are (-3, 2). Find the coordinates of the point Q which lies on the line joining P and origin such that OP = OQ.

Discussion

11781.	If cosec θ=√10, find the values of all T - ratios of θ
Answer» If cosec $θ = \sqrt{10}$ , find the values of all T - ratios of $θ$

Discussion

11782.	The following graph corresponds to a
Answer» The following graph corresponds to a

11782.

The following graph corresponds to a

Answer»

The following graph corresponds to a

Discussion

11783.	Choose the correct answer of the following question:If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is(a) 0° (b) 30° (c) 45° (d) 60° [CBSE 2014]
Answer» Choose the correct answer of the following question: If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is (a) 0° (b) 30° (c) 45° (d) 60° [CBSE 2014]

Discussion

11784.	Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are (2/3) of the corresponding sides of it.
Answer» Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are (2/3) of the corresponding sides of it.

Discussion

11785.	p = 22.32.q2 (where q is a prime < 7) is the prime factorisation representation of ‘p’. What is the value of p?
Answer» p = $2^{2}$ . $3^{2}$ . $q^{2}$ (where q is a prime $<$ 7) is the prime factorisation representation of ‘p’. What is the value of p?

Discussion

11786.	Solve for equations 5/(x+y)-2/(x-y)+1=0 and 15/(x+y)+7/(x-y)-10=0.
Answer» Solve for equations 5/(x+y)-2/(x-y)+1=0 and 15/(x+y)+7/(x-y)-10=0.

Discussion

11787.	A motor boat has a speed of 18 kmhr in still water. It takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream in km/hr.
Answer» A motor boat has a speed of 18 $\frac{k m}{h r}$ in still water. It takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream in $k m / h r .$

Discussion

11788.	Identify constant, linear, quadratic, cubic and quartic polynomials from the following.(i) 1−y−y3(ii) 1+x+x2(iii) −6x2
Answer» Identify constant, linear, quadratic, cubic and quartic polynomials from the following. (i) $1 - y - y^{3}$ (ii) $1 + x + x^{2}$ (iii) $- 6 x^{2}$

11788.

Identify constant, linear, quadratic, cubic and quartic polynomials from the following.(i) 1−y−y3(ii) 1+x+x2(iii) −6x2

Answer» Identify constant, linear, quadratic, cubic and quartic polynomials from the following.

(i) $1 - y - y^{3}$

(ii) $1 + x + x^{2}$

(iii) $- 6 x^{2}$

Discussion

11789.	ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.
Answer» ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.

11789.

ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.

Answer»

ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.

Discussion

11790.	If the heights of two cones are in the ratio 1 : 4 and the radii of their bases are in the ratio 4 : 1, then the ratio of their volumes is _________.
Answer» If the heights of two cones are in the ratio 1 : 4 and the radii of their bases are in the ratio 4 : 1, then the ratio of their volumes is _________.

Discussion

11791.	A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?
Answer» A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm³) is needed to fill this capsule?

Discussion

11792.	Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero , the product of the other two zeroes is (a) -ca (b) ca (c) 0 (d) -ba
Answer» Given that one of the zeroes of the cubic polynomial $a x^{3} + b x^{2} + c x + d$ is zero , the product of the other two zeroes is (a) $\frac{- c}{a}$ (b) $\frac{c}{a}$ (c) 0 (d) $\frac{- b}{a}$

Discussion

11793.	ntIf the reminder when the polynomial f(x) is divided by x-1 ,x+1 is 6,8 respectively ,then the remainder when f(x) is divided by (x-1)(x+1) isn ntA) 7-xn ntB) 7+xn ntC) 8-xn ntD) 8+xn
Answer» ntIf the reminder when the polynomial f(x) is divided by x-1 ,x+1 is 6,8 respectively ,then the remainder when f(x) is divided by (x-1)(x+1) isn ntA) 7-xn ntB) 7+xn ntC) 8-xn ntD) 8+xn

Discussion

11794.	In the equation ax+by+c=0, if y= (cx+d)b and a = d, then what is the value of 'x' ?
Answer» In the equation $a x + b y + c = 0$ , if y= $\frac{(c x + d)}{b}$ and a = d, then what is the value of ' $x$ ' ?

Discussion

11795.	Calculate the mean of the following set of numbers: 3, 1, 5, 3, 4, 5,3,7,2
Answer» Calculate the mean of the following set of numbers: 3, 1, 5, 3, 4, 5,3,7,2

Discussion

11796.	The point P (a, b) is first reflected in the origin and then reflected in the y-axis to P'. If P' has co-ordinates (4, 6); evaluate a and b.
Answer» The point P (a, b) is first reflected in the origin and then reflected in the y-axis to P'. If P' has co-ordinates (4, 6); evaluate a and b.

Discussion

11797.	Every counting number has an infinite number of(a) factors(b) multiples(c) prime factors(d) None of these
Answer» Every counting number has an infinite number of (a) factors (b) multiples (c) prime factors (d) None of these

Discussion

11798.	The cost of harvesting a square field at ₹900 per hectare is ₹8100. Find the cost of putting a fence around it at ₹18 per metre.
Answer» The cost of harvesting a square field at ₹900 per hectare is ₹8100. Find the cost of putting a fence around it at ₹18 per metre.

Discussion

11799.	Two squares have sides x cm and (x + 4) cm. The sum of their areas is 656 cm2. Find the sides of the squares.
Answer» Two squares have sides x cm and (x + 4) cm. The sum of their areas is 656 cm². Find the sides of the squares.

Discussion

11800.	8 terms are inserted between 5 and 43 so that the resulting sequence is an AP. The sum of the resulting AP is.
Answer» 8 terms are inserted between 5 and 43 so that the resulting sequence is an AP. The sum of the resulting AP is.

Discussion

Explore topic-wise InterviewSolutions in .

The probability of getting a perfect square number in a single throw of a dice is ____.

If D, E, F are the mid-points of sides BC, CA and AB respectively of ∆ABC, then the ratio of the areas of triangles DEF and ABC is(a) 1 : 4(b) 1 : 2(c) 2 : 3(d) 4 : 5

Question 2 (i)Are the following statements ‘True’ or False’? Justify your answer.i) If the zeroes of a quadratic polynomial ax2+bx+c are positive then a, b and c all have the same sign.

The formula for lateral surface area of cone is:

In Fig. 15.76, O is the centre of circle of radius 28 cm. Find the area of minor segment ASB.

You are given a circle with radius 'r' and centre 'O'. You are asked to draw a pair of tangents which are inclined at an angle of 60° with each other, from a point E.Refer to the figure and select the option which would lead you to the required construction. The distance d is the distance OE.

Find the area of a rectangle, if the length of the rectangle is x and the breadth is twice the length.

Construct a ΔABC in which AB = 5 cm. ∠B = 60° altitude CD = cm. Construct a ΔAQR similar to ΔABC such that side ΔAQR is 1.5 times that of the corresponding sides of ΔACB

An archery target has three regions formed by three concentric circles as shown in Fig. If the diameters of the concentric circles are in the ratio 1:2:3, then find the ratio of the area of three regions.

Find the middle term of sequence formed by all three digits number which leaves a reminder 5 when divided by 7.also find the sum of all number on both sides of the middle term separately.

The product of Ramu's age (in years) five years ago and his age (in years) nine years later is 15. Determine Ramu's present age.

a vector of magnitude 10 has its rec†an gular components as 8 and 6 along x and y axes.find the angles it make with these axe

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is(i) an odd number(ii) a multiple of 5(iii) a perfect square(iv) an even prime number

How to represent 4-square root of 2 in number line

The circle centred at (2, 3) and of radius 5, intersects the x-axis at A and B. Find the coordinates of A and B and also the length of the chord AB.

In triangle PQR, PM is perpendicular to RQ and N is a point on PM. Which of the following relations doesn’t hold true?

How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3 ?

In the given figure, O is the centre of the circle, P and Q are the points on the circle. AB is the tangent drawn for the circle at P. If ∠ POQ is θ∘, then what is the value of cosec (θ−10)∘?

Question 2(iii)Represent the following situations in the form of quadratic equations.(iii) Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age.

If sin[90 - (A+B)] = cosx = cosy, find the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B=90∘)

A semicircle is constructed outwards on side BC of a triangle ABC as on the diameter. Given points K and L that divide the semicircle into 3 equal arcs, prove that lines AK and AL divide BC into 3 equal parts.

The length of tangent drawn from an external point P to a circle, with centre O, is 8 cm. If the radius of the circle is 6 cm, then the length of OP (in cm) is:

If , are zeroes of the polynomial x2 − 2x − 15, then form a quadratic polynomial whose zeroes are (2) and (2).

A card is selected at random from a deck of 52 playing cards. The probability of not getting a face card is

Area of the base of a cone is 300 sq. cm and height is 15 cm. Find the volume of the cone.

Write x2 +10x+16 =0 in the form x2 +px+qx+16 =0 such that p x q = 16

Find the value of y if the line passing through the points (3,y) and (2,7) is parallel to the line passing through the points (−1,4) and (0,6).

The coordinates of the point P are (-3, 2). Find the coordinates of the point Q which lies on the line joining P and origin such that OP = OQ.

If cosec θ=√10, find the values of all T - ratios of θ

The following graph corresponds to a

Choose the correct answer of the following question:If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is(a) 0° (b) 30° (c) 45° (d) 60° [CBSE 2014]

Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are (2/3) of the corresponding sides of it.

p = 22.32.q2 (where q is a prime &lt; 7) is the prime factorisation representation of ‘p’. What is the value of p?

Solve for equations 5/(x+y)-2/(x-y)+1=0 and 15/(x+y)+7/(x-y)-10=0.

A motor boat has a speed of 18 kmhr in still water. It takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream in km/hr.

Identify constant, linear, quadratic, cubic and quartic polynomials from the following.(i) 1−y−y3(ii) 1+x+x2(iii) −6x2

ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.

If the heights of two cones are in the ratio 1 : 4 and the radii of their bases are in the ratio 4 : 1, then the ratio of their volumes is _________.

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?

Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero , the product of the other two zeroes is (a) -ca (b) ca (c) 0 (d) -ba

ntIf the reminder when the polynomial f(x) is divided by x-1 ,x+1 is 6,8 respectively ,then the remainder when f(x) is divided by (x-1)(x+1) isn ntA) 7-xn ntB) 7+xn ntC) 8-xn ntD) 8+xn

In the equation ax+by+c=0, if y= (cx+d)b and a = d, then what is the value of 'x' ?

Calculate the mean of the following set of numbers: 3, 1, 5, 3, 4, 5,3,7,2

The point P (a, b) is first reflected in the origin and then reflected in the y-axis to P'. If P' has co-ordinates (4, 6); evaluate a and b.

Every counting number has an infinite number of(a) factors(b) multiples(c) prime factors(d) None of these

The cost of harvesting a square field at ₹900 per hectare is ₹8100. Find the cost of putting a fence around it at ₹18 per metre.

Two squares have sides x cm and (x + 4) cm. The sum of their areas is 656 cm2. Find the sides of the squares.

8 terms are inserted between 5 and 43 so that the resulting sequence is an AP. The sum of the resulting AP is.

p = 22.32.q2 (where q is a prime < 7) is the prime factorisation representation of ‘p’. What is the value of p?