32581 + Interview Questions in Mathematics Page 232 InterviewSolution

11551.	If a pair of linear equations is inconsistent then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident
Answer» If a pair of linear equations is inconsistent then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident

11551.

If a pair of linear equations is inconsistent then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident

Answer»

If a pair of linear equations is inconsistent then their graph lines will be

(a) parallel (b) always coincident

(c) always intersecting (d) intersecting or coincident

Discussion

11552.	ABCD is a rectangle with vertex A(0,0) as shown in below figure where P and Q are midpoints of sides CD and BC respectively. If C =(8,6) then find the coordinates of P and Q.
Answer» ABCD is a rectangle with vertex A(0,0) as shown in below figure where P and Q are midpoints of sides CD and BC respectively. If C =(8,6) then find the coordinates of P and Q.

11552.

ABCD is a rectangle with vertex A(0,0) as shown in below figure where P and Q are midpoints of sides CD and BC respectively. If C =(8,6) then find the coordinates of P and Q.

Answer»

ABCD is a rectangle with vertex A(0,0) as shown in below figure where P and Q are midpoints of sides CD and BC respectively. If C =(8,6) then find the coordinates of P and Q.

Discussion

11553.	What is the probability that a leap year has 53 Sundays and 53 Mondays?
Answer» What is the probability that a leap year has 53 Sundays and 53 Mondays?

Discussion

11554.	In Fig, 7.244, if ∠A =∠C, AB = 6 cm, BP = 15 cm, AP = 12 cm and CP = 4 cm, then PD = _______ and CD = _________.
Answer» In Fig, 7.244, if ∠A =∠C, AB = 6 cm, BP = 15 cm, AP = 12 cm and CP = 4 cm, then PD = _______ and CD = _________.

Discussion

11555.	Which one of the following can't be the square of a natural number ?
Answer» Which one of the following can't be the square of a natural number ?

Discussion

11556.	The lower window of a house is at a height of 2 m above the ground and its upper window is 4 m vertically above the lower window . At certain instant the angles of elevation of a balloon from these windows are observed to be 600 and 300 respectively. Find the height of the balloon above the ground.
Answer» The lower window of a house is at a height of 2 m above the ground and its upper window is 4 m vertically above the lower window . At certain instant the angles of elevation of a balloon from these windows are observed to be 60⁰ and 30⁰respectively. Find the height of the balloon above the ground.

Discussion

11557.	In the given figure, □ PQRS and □MNRL are rectangles. If point M is the midpoint of side PR then prove that,(i) SL = LR, (ii) LN = 12SQ.
Answer» In the given figure, $□$ PQRS and $□$ MNRL are rectangles. If point M is the midpoint of side PR then prove that, (i) SL = LR, (ii) LN = $\frac{1}{2}$ SQ.

Discussion

11558.	ntIntegration of [(sec x) (cosec x)] with respect to x is a function ofn nt1) tan xn nt2) sin xn nt3) cos xn nt4) nonen
Answer» ntIntegration of [(sec x) (cosec x)] with respect to x is a function ofn nt1) tan xn nt2) sin xn nt3) cos xn nt4) nonen

Discussion

11559.	A farmer connects a pipe of internal diameter 25 cm from a canal into a cylindrical tank in his field, which is 12 m in diameter and 2.5 m deep. If water flows through the pipe at the rate of 3.6 km/hr, in how much time will the tank be filled? Also, find the cost of water if the canal department charges at the rate of Rs 0.07 per m3.
Answer» A farmer connects a pipe of internal diameter 25 cm from a canal into a cylindrical tank in his field, which is 12 m in diameter and 2.5 m deep. If water flows through the pipe at the rate of 3.6 km/hr, in how much time will the tank be filled? Also, find the cost of water if the canal department charges at the rate of Rs 0.07 per $m^{3}$ .

Discussion

11560.	The mean of first n odd natural numbers is n281, then n =(a) 9(b) 81(c) 27(d) 18
Answer» The mean of first n odd natural numbers is $\frac{n^{2}}{81}$ , then n = (a) 9 (b) 81 (c) 27 (d) 18

Discussion

11561.	80.Two chords PQ and RS intersect at T outside the circle. If PQ=5cm, QT=3cm and TS=2cm, then find the length of RS?
Answer» 80.Two chords PQ and RS intersect at T outside the circle. If PQ=5cm, QT=3cm and TS=2cm, then find the length of RS?

Discussion

11562.	In two square pyramids of the same volume, the base edge of one is half the base edge of the other. How many times the height of the pyramid with larger base is the height of the other?
Answer» In two square pyramids of the same volume, the base edge of one is half the base edge of the other. How many times the height of the pyramid with larger base is the height of the other?

Discussion

11563.	The angle of elevation of the top of a vertical tower from a point on the ground is 60°. From another point 10 m vertically above the first, its angle of elevation is 30°. Find the height of the tower. [CBSE 2011]
Answer» The angle of elevation of the top of a vertical tower from a point on the ground is 60°. From another point 10 m vertically above the first, its angle of elevation is 30°. Find the height of the tower. [CBSE 2011]

Discussion

11564.	If \times p(x)=x3−3x2+2x, find p(0), p(1), p(2). What do you conclude?
Answer» If \times $p (x) = x^{3} - 3 x^{2} + 2 x$ , find p(0), p(1), p(2). What do you conclude?

Discussion

11565.	A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left. When he increased the size of the square by one student, he found that he was short of 25 students. Find the number of students.
Answer» A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left. When he increased the size of the square by one student, he found that he was short of 25 students. Find the number of students.

Discussion

11566.	A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.
Answer» A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.

Discussion

11567.	A vessel in the shape of a cuboid contains some water. If three identical spheres immersed in the water, the level of water is increased by 2 cm. If the area of the base of the cuboid is 160 cm2 and its height 12 cm, determine the radius of any of the spheres.
Answer» A vessel in the shape of a cuboid contains some water. If three identical spheres immersed in the water, the level of water is increased by 2 cm. If the area of the base of the cuboid is 160 cm² and its height 12 cm, determine the radius of any of the spheres.

Discussion

11568.	If the point P12, y lies on the line segment joining the points A(3, −5) and B(−7, 9) then find theratio in which P divides AB. Also, find the value of y.
Answer» If the point $P (\frac{1}{2}, y)$ lies on the line segment joining the points A(3, −5) and B(−7, 9) then find the ratio in which P divides AB. Also, find the value of y.

Discussion

11569.	The equation of the line though origin with a slope of 1 is .
Answer» The equation of the line though origin with a slope of 1 is .

Discussion

11570.	If the polynomial 6x4 – 7x3 – 44x2 + 83x – 30 is divided by another polynomial 6x2 – 13x + 5, the quotient and remainder were (ax2 + bx – c) and d respectively, then the value (a + b + c + d) is
Answer» If the polynomial 6x4 – 7x3 – 44x2 + 83x – 30 is divided by another polynomial 6x2 – 13x + 5, the quotient and remainder were (ax2 + bx – c) and d respectively, then the value (a + b + c + d) is

Discussion

11571.	In the given figure, ΔABC∼ΔADE. If AE : EC = 4 : 7 and DE = 6.6 cm, then the length of BC is
Answer» In the given figure, $Δ A B C \sim Δ A D E$ . If AE : EC = 4 : 7 and DE = 6.6 cm, then the length of BC is

11571.

In the given figure, ΔABC∼ΔADE. If AE : EC = 4 : 7 and DE = 6.6 cm, then the length of BC is

Answer»

In the given figure, $Δ A B C \sim Δ A D E$ . If AE : EC = 4 : 7 and DE = 6.6 cm, then the length of BC is

Discussion

11572.	If a variable takes the discrete values α+4, α−72, α−52, α−3, α−2, α+12, α−12, α+5(α>0), then the median is:
Answer» $I f a v a r i a b l e t a k e s t h e d i s c r e t e v a l u e s α + 4, α - \frac{7}{2}, α - \frac{5}{2}, α - 3, α - 2, α + \frac{1}{2}, α - \frac{1}{2}, α + 5 (α > 0), t h e n t h e m e d i a n i s :$

Discussion

11573.	A and B are partners sharing profits and losses in the ratio of 7 : 5. They admit C, their Manager, into partnership who is to get 1/6th share in the business. C brings in ₹ 10,000 for his capital and ₹ 3,600 for the 1/6th share of goodwill which he acquires 1/24th from A and 1/8th from B. Profits for the first year of the new partnership was ₹ 24,000. Pass necessary Journal entries for C's admission and apportion the profit between the partners.
Answer» A and B are partners sharing profits and losses in the ratio of 7 : 5. They admit C, their Manager, into partnership who is to get 1/6th share in the business. C brings in ₹ 10,000 for his capital and ₹ 3,600 for the 1/6th share of goodwill which he acquires 1/24th from A and 1/8th from B. Profits for the first year of the new partnership was ₹ 24,000. Pass necessary Journal entries for C's admission and apportion the profit between the partners.

Discussion

11574.	The sum of the numerator and the denominator of a fraction is 3 less than twice the denominator. If each of the numerator and denominator is decreased by 1 the fraction become 1/2.Find the fraction.
Answer» The sum of the numerator and the denominator of a fraction is 3 less than twice the denominator. If each of the numerator and denominator is decreased by 1 the fraction become 1/2.Find the fraction.

Discussion

11575.	The volumes of two spheres are in the ratio 64:27 and the sum of their radii is 7 cm. What is the difference in their total surface areas?
Answer» The volumes of two spheres are in the ratio 64:27 and the sum of their radii is 7 cm. What is the difference in their total surface areas?

Discussion

11576.	Find the slope of a line, which passes through the origin and the mid point of the line segment joining the points P(0, -4) and B(8, 0).
Answer» Find the slope of a line, which passes through the origin and the mid point of the line segment joining the points P(0, -4) and B(8, 0).

Discussion

11577.	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, find the value of x.
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, find the value of x.

Discussion

11578.	117.The number of zeroes at the end of 100!
Answer» 117.The number of zeroes at the end of 100!

Discussion

11579.

If the arithmetic mean of the following frequency distribution is 57.6 and the sum of the observations is 50, then the missing frequencies x and y are Classes0 - 2020 - 4040 - 6060 - 8080 - 100100 - 120Frequency7x127y5

Answer»

If the arithmetic mean of the following frequency distribution is 57.6 and the sum of the observations is 50, then the missing frequencies x and y are

Classes	0 - 20	20 - 40	40 - 60	60 - 80	80 - 100	100 - 120
Frequency	7	x	12	7	y	5

Discussion

11580.	Area of the region bounded by the curve y = cos x between x = 0 and x = π is _______________.
Answer» Area of the region bounded by the curve y = cos x between x = 0 and x = π is _______________.

Discussion

11581.	Solve the following quadratic equations by factorization:35x2+25x-105=0
Answer» Solve the following quadratic equations by factorization: $3 \sqrt{5} x^{2} + 25 x - 10 \sqrt{5} = 0$

Discussion

11582.	Write the number of solutions of the following pair of linear equations:x+3y-4=0, 2x+6y-7=0
Answer» Write the number of solutions of the following pair of linear equations: $x + 3 y - 4 = 0, 2 x + 6 y - 7 = 0$

Discussion

11583.	Question 2 (i)Find the values of k for each of the following quadratic equations, so that they have two equal roots.(i)2x2+kx+3=0
Answer» Question 2 (i) Find the values of k for each of the following quadratic equations, so that they have two equal roots. $(i) 2 x^{2} + k x + 3 = 0$

Discussion

11584.	In figure, the shape of a solid copper piece (made of two pieces) with dimensions is shown. The face of ABCDEFA is the uniform cross-section. Assume that the angles at A, B, C, D, E and F are right angles, calculate the volume of the piece.
Answer» In figure, the shape of a solid copper piece (made of two pieces) with dimensions is shown. The face of ABCDEFA is the uniform cross-section. Assume that the angles at A, B, C, D, E and F are right angles, calculate the volume of the piece.

11584.

In figure, the shape of a solid copper piece (made of two pieces) with dimensions is shown. The face of ABCDEFA is the uniform cross-section. Assume that the angles at A, B, C, D, E and F are right angles, calculate the volume of the piece.

Answer»

In figure, the shape of a solid copper piece (made of two pieces) with dimensions is shown. The face of ABCDEFA is the uniform cross-section. Assume that the angles at A, B, C, D, E and F are right angles, calculate the volume of the piece.

Discussion

11585.	Question 69Solve the following:2y−34−3y−52=y+34
Answer» Question 69 Solve the following: $\frac{2 y - 3}{4} - \frac{3 y - 5}{2} = y + \frac{3}{4}$

11585.

Question 69Solve the following:2y−34−3y−52=y+34

Answer»

Question 69

Solve the following:

$\frac{2 y - 3}{4} - \frac{3 y - 5}{2} = y + \frac{3}{4}$

Discussion

11586.	A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. [Use π=227]
Answer» A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. $[U s e π = \frac{22}{7}]$

Discussion

11587.	Show that one and only one out of n, n + 4,n+8, n + 12, and n + 16 Is divisible by 5 Where n is any positive integer
Answer» Show that one and only one out of n, n + 4,n+8, n + 12, and n + 16 Is divisible by 5 Where n is any positive integer

11587.

Show that one and only one out of n, n + 4,n+8, n + 12, and n + 16 Is divisible by 5 Where n is any positive integer

Answer»

Show that one and only one out of n, n + 4,n+8, n + 12, and n + 16

Is divisible by 5 Where n is any positive integer

Discussion

11588.	Question 6The perimeter of a triangle with vetices (0,4), (0,0) and (3,0) is:(A) 5(B) 12(C) 11(D) 7+√5
Answer» Question 6 The perimeter of a triangle with vetices (0,4), (0,0) and (3,0) is: (A) 5 (B) 12 (C) 11 (D) $7 + \sqrt{5}$

Discussion

11589.	In a circular dartboard of radius 25cm, there are 5 concentric circles. the radius of each inner concentric circle is 5 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.
Answer» In a circular dartboard of radius 25cm, there are 5 concentric circles. the radius of each inner concentric circle is 5 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.

Discussion

11590.	35. The radius of the base of a right circular cylinder is increased by 75% and the height is decreased by 50% . Find the percent increase or decrease in the volume
Answer» 35. The radius of the base of a right circular cylinder is increased by 75% and the height is decreased by 50% . Find the percent increase or decrease in the volume

Discussion

11591.	The angle of elevation of the top of a chimney from the top of a tower is 60º and the angle of depression of the foot of the chimney from the top of the tower is 30º. If the height of the tower is 40 m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question? [CBSE 2014]
Answer» The angle of elevation of the top of a chimney from the top of a tower is 60º and the angle of depression of the foot of the chimney from the top of the tower is 30º. If the height of the tower is 40 m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question? [CBSE 2014]

Discussion

11592.	what is law of multiple proportion
Answer» what is law of multiple proportion

Discussion

11593.	In which of the following situations, does the list of numbers involved make as arithmetic progression and why?(i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km.(ii) The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time.(iii) The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.(iv)The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8% per annum.
Answer» In which of the following situations, does the list of numbers involved make as arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km. (ii) The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time. (iii) The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre. (iv)The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8% per annum.

11593.

In which of the following situations, does the list of numbers involved make as arithmetic progression and why?(i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km.(ii) The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time.(iii) The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.(iv)The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8% per annum.

Answer»

In which of the following situations, does the list of numbers involved make as arithmetic progression and why?

(i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km.

(ii) The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time.

(iii) The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.

(iv)The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8% per annum.

Discussion

11594.	If the coordinates of the vertices of a triangle be (1, a), (2, b) and (c2,3), then the centroid of the triangle
Answer» If the coordinates of the vertices of a triangle be (1, a), (2, b) and $(c^{2}, 3)$ , then the centroid of the triangle

Discussion

11595.	Pick the equation that relates the base radius, height and slant height of a cone from the following.
Answer» Pick the equation that relates the base radius, height and slant height of a cone from the following.

Discussion

11596.	The volume of a hemisphere is 242512 cm3. Find its curved surface area.
Answer» The volume of a hemisphere is $2425 \frac{1}{2} c m^{3} .$ Find its curved surface area.

Discussion

11597.	Find the distance between the points A(x,1/×)and B(1/x,x)
Answer» Find the distance between the points A(x,1/×)and B(1/x,x)

Discussion

11598.	Are there situations in which we add subtract or multiply the obtained probability . For eg in a die the chance of getting no:2 is1/6 therefore the chance of getting 2or 4 is 1/6+1/6=2/6 . Is this correct mam if so are there other examples .
Answer» Are there situations in which we add subtract or multiply the obtained probability . For eg in a die the chance of getting no:2 is1/6 therefore the chance of getting 2or 4 is 1/6+1/6=2/6 . Is this correct mam if so are there other examples .

Discussion

11599.	4. What is the value of (cube root x)? by first principle
Answer» 4. What is the value of (cube root x)? by first principle

Discussion

11600.	The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then
Answer» The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then

Discussion

Explore topic-wise InterviewSolutions in .

If a pair of linear equations is inconsistent then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident

ABCD is a rectangle with vertex A(0,0) as shown in below figure where P and Q are midpoints of sides CD and BC respectively. If C =(8,6) then find the coordinates of P and Q.

What is the probability that a leap year has 53 Sundays and 53 Mondays?

In Fig, 7.244, if ∠A =∠C, AB = 6 cm, BP = 15 cm, AP = 12 cm and CP = 4 cm, then PD = _______ and CD = _________.

Which one of the following can't be the square of a natural number ?

The lower window of a house is at a height of 2 m above the ground and its upper window is 4 m vertically above the lower window . At certain instant the angles of elevation of a balloon from these windows are observed to be 600 and 300 respectively. Find the height of the balloon above the ground.

In the given figure, □ PQRS and □MNRL are rectangles. If point M is the midpoint of side PR then prove that,(i) SL = LR, (ii) LN = 12SQ.

ntIntegration of [(sec x) (cosec x)] with respect to x is a function ofn nt1) tan xn nt2) sin xn nt3) cos xn nt4) nonen

The mean of first n odd natural numbers is n281, then n =(a) 9(b) 81(c) 27(d) 18

80.Two chords PQ and RS intersect at T outside the circle. If PQ=5cm, QT=3cm and TS=2cm, then find the length of RS?

In two square pyramids of the same volume, the base edge of one is half the base edge of the other. How many times the height of the pyramid with larger base is the height of the other?

The angle of elevation of the top of a vertical tower from a point on the ground is 60°. From another point 10 m vertically above the first, its angle of elevation is 30°. Find the height of the tower. [CBSE 2011]

If \times p(x)=x3−3x2+2x, find p(0), p(1), p(2). What do you conclude?

A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left. When he increased the size of the square by one student, he found that he was short of 25 students. Find the number of students.

A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.

A vessel in the shape of a cuboid contains some water. If three identical spheres immersed in the water, the level of water is increased by 2 cm. If the area of the base of the cuboid is 160 cm2 and its height 12 cm, determine the radius of any of the spheres.

If the point P12, y lies on the line segment joining the points A(3, −5) and B(−7, 9) then find theratio in which P divides AB. Also, find the value of y.

The equation of the line though origin with a slope of 1 is .

If the polynomial 6x4 – 7x3 – 44x2 + 83x – 30 is divided by another polynomial 6x2 – 13x + 5, the quotient and remainder were (ax2 + bx – c) and d respectively, then the value (a + b + c + d) is

In the given figure, ΔABC∼ΔADE. If AE : EC = 4 : 7 and DE = 6.6 cm, then the length of BC is

If a variable takes the discrete values α+4, α−72, α−52, α−3, α−2, α+12, α−12, α+5(α&gt;0), then the median is:

The sum of the numerator and the denominator of a fraction is 3 less than twice the denominator. If each of the numerator and denominator is decreased by 1 the fraction become 1/2.Find the fraction.

The volumes of two spheres are in the ratio 64:27 and the sum of their radii is 7 cm. What is the difference in their total surface areas?

Find the slope of a line, which passes through the origin and the mid point of the line segment joining the points P(0, -4) and B(8, 0).

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, find the value of x.

117.The number of zeroes at the end of 100!

If the arithmetic mean of the following frequency distribution is 57.6 and the sum of the observations is 50, then the missing frequencies x and y are Classes0 - 2020 - 4040 - 6060 - 8080 - 100100 - 120Frequency7x127y5

Area of the region bounded by the curve y = cos x between x = 0 and x = π is _______________.

Solve the following quadratic equations by factorization:35x2+25x-105=0

Write the number of solutions of the following pair of linear equations:x+3y-4=0, 2x+6y-7=0

Question 2 (i)Find the values of k for each of the following quadratic equations, so that they have two equal roots.(i)2x2+kx+3=0

In figure, the shape of a solid copper piece (made of two pieces) with dimensions is shown. The face of ABCDEFA is the uniform cross-section. Assume that the angles at A, B, C, D, E and F are right angles, calculate the volume of the piece.

Question 69Solve the following:2y−34−3y−52=y+34

A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. [Use π=227]

Show that one and only one out of n, n + 4,n+8, n + 12, and n + 16 Is divisible by 5 Where n is any positive integer

Question 6The perimeter of a triangle with vetices (0,4), (0,0) and (3,0) is:(A) 5(B) 12(C) 11(D) 7+√5

In a circular dartboard of radius 25cm, there are 5 concentric circles. the radius of each inner concentric circle is 5 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.

35. The radius of the base of a right circular cylinder is increased by 75% and the height is decreased by 50% . Find the percent increase or decrease in the volume

what is law of multiple proportion

If the coordinates of the vertices of a triangle be (1, a), (2, b) and (c2,3), then the centroid of the triangle

Pick the equation that relates the base radius, height and slant height of a cone from the following.

The volume of a hemisphere is 242512 cm3. Find its curved surface area.

Find the distance between the points A(x,1/×)and B(1/x,x)

Are there situations in which we add subtract or multiply the obtained probability . For eg in a die the chance of getting no:2 is1/6 therefore the chance of getting 2or 4 is 1/6+1/6=2/6 . Is this correct mam if so are there other examples .

4. What is the value of (cube root x)? by first principle

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then

In Fig, 7.244, if ∠A =∠C, AB = 6 cm, BP = 15 cm, AP = 12 cm and CP = 4 cm, then PD = _ and CD = ___.

If a variable takes the discrete values α+4, α−72, α−52, α−3, α−2, α+12, α−12, α+5(α>0), then the median is: