32581 + Interview Questions in Mathematics Page 263 InterviewSolution

13101.	Of two numbers ,3 times the larger one is greater than 4 times the smaller one by 7.Also, the sum of numbers is larger than 6 times their difference by 4.Find the numbers.
Answer» Of two numbers ,3 times the larger one is greater than 4 times the smaller one by 7.Also, the sum of numbers is larger than 6 times their difference by 4.Find the numbers.

Discussion

13102.	The sum of first ten terms of an A.P. is four times the sum of its first five terms. What is the ratio of first term and common difference?
Answer» The sum of first ten terms of an A.P. is four times the sum of its first five terms. What is the ratio of first term and common difference?

Discussion

13103.	In the figure, B and C are the centres of the 2 circles with radii 9 cm and 3 cm respectively. Also, PQ is the transverse common tangent. Find the length of PQ, if the centres of circles are 15 cm apart.
Answer» In the figure, B and C are the centres of the 2 circles with radii 9 cm and 3 cm respectively. Also, PQ is the transverse common tangent. Find the length of PQ, if the centres of circles are 15 cm apart.

13103.

In the figure, B and C are the centres of the 2 circles with radii 9 cm and 3 cm respectively. Also, PQ is the transverse common tangent. Find the length of PQ, if the centres of circles are 15 cm apart.

Answer»

In the figure, B and C are the centres of the 2 circles with radii 9 cm and 3 cm respectively. Also, PQ is the transverse common tangent.
Find the length of PQ, if the centres of circles are 15 cm apart.

Discussion

13104.	Separate the variables in the below given equation. 7x - 2y = 5xyAfter separating the variables equation is of the form7□ - 2□ = 5
Answer» Separate the variables in the below given equation. 7x - 2y = 5xy After separating the variables equation is of the form $\frac{7}{□}$ - $\frac{2}{□}$ = 5

13104.

Separate the variables in the below given equation. 7x - 2y = 5xyAfter separating the variables equation is of the form7□ - 2□ = 5

Answer»

Separate the variables in the below given equation.

7x - 2y = 5xy

After separating the variables equation is of the form

$\frac{7}{□}$ - $\frac{2}{□}$ = 5

Discussion

13105.	Verify Euler’s formula for the following graphs.(i)(ii)(iii)(iv)(v)(vi)
Answer» Verify Euler’s formula for the following graphs. (i) (ii) (iii) (iv) (v) (vi)

13105.

Verify Euler’s formula for the following graphs.(i)(ii)(iii)(iv)(v)(vi)

Answer»

Verify Euler’s formula for the following graphs.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Discussion

13106.	Fill in the blank :In Δ PQR, D is the mid-point of QR. PD is ______.
Answer» Fill in the blank : In Δ PQR, D is the mid-point of QR. PD is ______.

Discussion

13107.	Find the following pair of linear equations by the substituting method:- (a) 3x-y=3 9x-3y=9 b) 0.2x+0.3y=1.3 0.4x+0.5y=2.3
Answer» Find the following pair of linear equations by the substituting method:- (a) 3x-y=3 9x-3y=9 b) 0.2x+0.3y=1.3 0.4x+0.5y=2.3

13107.

Find the following pair of linear equations by the substituting method:- (a) 3x-y=3 9x-3y=9 b) 0.2x+0.3y=1.3 0.4x+0.5y=2.3

Answer»

Find the following pair of linear equations by the substituting method:-

(a) 3x-y=3

9x-3y=9

b) 0.2x+0.3y=1.3

0.4x+0.5y=2.3

Discussion

13108.	Find the value of y for which the distance between the points P(2,-3) and Q(10,y) is 10 units
Answer» Find the value of y for which the distance between the points P(2,-3) and Q(10,y) is 10 units

Discussion

13109.	From the given figure, the lenght of OB is
Answer» From the given figure, the lenght of OB is

13109.

From the given figure, the lenght of OB is

Answer»

From the given figure, the lenght of OB is

Discussion

13110.	29. if the polynomial x - 6x + 16x - 25x + 10 is divided by (x - 2x +k) the remainder comes out to be x+b . find k and b
Answer» 29. if the polynomial x - 6x + 16x - 25x + 10 is divided by (x - 2x +k) the remainder comes out to be x+b . find k and b

Discussion

13111.	If the product of the roots of x2–3x+k=10 is –2, then find the value of k.
Answer» If the product of the roots of $x^{2} - 3 x + k = 10$ is –2, then find the value of k.

Discussion

13112.	Which of the following words has highest probability of getting vowel if a letter is picked randomly from them?
Answer» Which of the following words has highest probability of getting vowel if a letter is picked randomly from them?

Discussion

13113.	difference between sin^2thitha and sinthitha^2
Answer» difference between sin^2thitha and sinthitha^2

Discussion

13114.	The hotel bill for a number of people for overnight stay is ₹4800 . If there were four more the bill each person had to pay would have reduced by ₹200 . Find the number of people staying overnight .
Answer» The hotel bill for a number of people for overnight stay is ₹4800 . If there were four more the bill each person had to pay would have reduced by ₹200 . Find the number of people staying overnight .

Discussion

13115.	The slant height and the diameter of a conical tent are 25 m and 14 m respectively. Calculate the cost of the canvas used at Rs 15 per sq. m.
Answer» The slant height and the diameter of a conical tent are 25 m and 14 m respectively. Calculate the cost of the canvas used at Rs 15 per sq. m.

13115.

The slant height and the diameter of a conical tent are 25 m and 14 m respectively. Calculate the cost of the canvas used at Rs 15 per sq. m.

Answer»

The slant height and the diameter of a conical tent are 25 m and 14 m respectively. Calculate the cost of the canvas used at Rs 15 per sq. m.

Discussion

13116.	In ∆ABC, given that AB = AC and BD ⊥ AC. Prove that BC2 = 2 AC. CD
Answer» In ∆ABC, given that AB = AC and BD ⊥ AC. Prove that BC² = 2 AC. CD

Discussion

13117.	A pole s†an ds on the road such that its shadow increases in length by 'a' metres when the angle of elevation of sun changes from α to β.If †anα=\sqrt3 †anβ then find the height of the pole. Also find the initial length of shado
Answer» A pole s†an ds on the road such that its shadow increases in length by 'a' metres when the angle of elevation of sun changes from α to β.If †anα=\sqrt3 †anβ then find the height of the pole. Also find the initial length of shado

Discussion

13118.	A boat goes 30 km upstream and 44 downstream in 10 hours. The same boat goes 40 km upstream and 55 km downstream in 13 hours. On this information some student guessed the speed of the boat in still water as 8.5 km/h and speed of the boat in still water as 8.5 km/h and speed of the stream as 3.8 km/h. Do you agree with their guess? Explain what do we learn from the incident?
Answer» A boat goes 30 km upstream and 44 downstream in 10 hours. The same boat goes 40 km upstream and 55 km downstream in 13 hours. On this information some student guessed the speed of the boat in still water as 8.5 km/h and speed of the boat in still water as 8.5 km/h and speed of the stream as 3.8 km/h. Do you agree with their guess? Explain what do we learn from the incident?

Discussion

13119.	12.Order and degree of the differential equation of family of lines situated at a constant distance p from the origin?
Answer» 12.Order and degree of the differential equation of family of lines situated at a constant distance p from the origin?

Discussion

13120.	Integration of cosx. log (cosecx+cotx)dx
Answer» Integration of cosx. log (cosecx+cotx)dx

Discussion

13121.	2. If a tower 30m high casts a shadow 10\sqrt{}3m long on the ground then what is the angle of elevation of sun
Answer» 2. If a tower 30m high casts a shadow 10\sqrt{}3m long on the ground then what is the angle of elevation of sun

Discussion

13122.	Water in a canal, 6 m wide and 1.5 m deep, is flowing at a speed of 4 km/hr. How much area will it irrigate in 10 minutes if 8 cm of standing water is needed for irrigation? [CBSE 2014]
Answer» Water in a canal, 6 m wide and 1.5 m deep, is flowing at a speed of 4 km/hr. How much area will it irrigate in 10 minutes if 8 cm of standing water is needed for irrigation? [CBSE 2014]

Discussion

13123.	Find the volume of a hemisphere whose radius is 3 inches.
Answer» Find the volume of a hemisphere whose radius is 3 inches.

Discussion

13124.	Match the following labels to their corresponding shapes.(i) A(a) Cylinder(ii) B(b) Frustum(iii) C(c) Cone(iv) D(d) Cuboid
Answer» Match the following labels to their corresponding shapes. $\begin{matrix} (i) A & (a) C y l i n d e r (i i) B & (b) F r u s t u m (i i i) C & (c) C o n e (i v) D & (d) C u b o i d \end{matrix}$

13124.

Match the following labels to their corresponding shapes.(i) A(a) Cylinder(ii) B(b) Frustum(iii) C(c) Cone(iv) D(d) Cuboid

Answer»

Match the following labels to their corresponding shapes.

$\begin{matrix} (i) A & (a) C y l i n d e r (i i) B & (b) F r u s t u m (i i i) C & (c) C o n e (i v) D & (d) C u b o i d \end{matrix}$

Discussion

13125.	If -1, 1 & 3 are the zeroes of a cubic polynomial, then the correct expression of the polynomial is .
Answer» If -1, 1 & 3 are the zeroes of a cubic polynomial, then the correct expression of the polynomial is .

Discussion

13126.	Question 1 (v) Complete the following statements: The probability of an event is greater than or equal to ___ and less than or equal to ___.
Answer» Question 1 (v) Complete the following statements: The probability of an event is greater than or equal to ___ and less than or equal to ___.

Discussion

13127.	The coordinates of the point equidistant from the vertices O(0, 0), A(6, 0) and B(0, 8) of ΔOAB are ___________.
Answer» The coordinates of the point equidistant from the vertices O(0, 0), A(6, 0) and B(0, 8) of ΔOAB are ___________.

Discussion

13128.	The sides of an equilateral triangle are 4 centimetres long. What is the radius of its circumcircle?
Answer» The sides of an equilateral triangle are 4 centimetres long. What is the radius of its circumcircle?

Discussion

13129.	A company, with 10,000 shares of Rs 100 each, declares an annual dividend of 5%. (i) What is the total amount of dividend paid by the company ? (ii) What should be the annual income of a man who has 72 shares in the company ?
Answer» A company, with 10,000 shares of Rs 100 each, declares an annual dividend of 5%. (i) What is the total amount of dividend paid by the company ? (ii) What should be the annual income of a man who has 72 shares in the company ?

13129.

A company, with 10,000 shares of Rs 100 each, declares an annual dividend of 5%. (i) What is the total amount of dividend paid by the company ? (ii) What should be the annual income of a man who has 72 shares in the company ?

Answer»

A company, with 10,000 shares of Rs 100 each, declares an annual dividend of 5%.

(i) What is the total amount of dividend paid by the company ?

(ii) What should be the annual income of a man who has 72 shares in the company ?

Discussion

13130.	The cost of 2kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2kg of grapes is Rs. 300 Represent th situation algebraically and geometrically.
Answer» The cost of 2kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2kg of grapes is Rs. 300 Represent th situation algebraically and geometrically.

Discussion

13131.	4. If there are (2n+1)terms in an AP,then prove that the ratio of the sum of odd terms and the sum of even terms is (n+1) : n.
Answer» 4. If there are (2n+1)terms in an AP,then prove that the ratio of the sum of odd terms and the sum of even terms is (n+1) : n.

Discussion

13132.	A man of height 60 cm is walking away from the base of a building at a speed of 2.2 m/s. If the height of the building is 7.2 m, then find the length of the shadow of man after 5s.
Answer» A man of height 60 cm is walking away from the base of a building at a speed of 2.2 m/s. If the height of the building is 7.2 m, then find the length of the shadow of man after 5s.

Discussion

13133.	How many positive integers less than 1000 have the property that the sum of the digits of each number is divisible by 7 and the number itself is divisible by 3
Answer» How many positive integers less than 1000 have the property that the sum of the digits of each number is divisible by 7 and the number itself is divisible by 3

Discussion

13134.	A train travels a distance of 480 kilometre at a uniform speed .If the speed had been 8 kilometre per hour less then it would have Taken 3 h o u r s more to cover the same distance .We need to find the speed of the train.
Answer» A train travels a distance of 480 kilometre at a uniform speed .If the speed had been 8 kilometre per hour less then it would have Taken 3 h o u r s more to cover the same distance .We need to find the speed of the train.

Discussion

13135.	In the given figure, PSR, RTQ and PAQ are three semicircles of diameter 10 cm, 3 cm and 7 cm respectively. Find the perimeter of shaded region.
Answer» In the given figure, PSR, RTQ and PAQ are three semicircles of diameter 10 cm, 3 cm and 7 cm respectively. Find the perimeter of shaded region.

13135.

In the given figure, PSR, RTQ and PAQ are three semicircles of diameter 10 cm, 3 cm and 7 cm respectively. Find the perimeter of shaded region.

Answer»

In the given figure, PSR, RTQ and PAQ are three semicircles of diameter 10 cm, 3 cm and 7 cm respectively. Find the perimeter of shaded region.

Discussion

13136.	If a≠b≠c, prove that the points (a,a2),(b,b2),(c,c2) can never be collinear.
Answer» If $a \neq b \neq c$ , prove that the points $(a, a^{2}), (b, b^{2}), (c, c^{2})$ can never be collinear.

Discussion

13137.

A, B and C are partners sharing profits and losses in the ratio of 5 : 3 : 2. Their Balance Sheet as at 31st March, 2019 stood as follows: Liabilities Amount (₹) Assets Amount (₹) Capital A/cs: Land and Building 3,50,000 A 2,50,000 Machinery 2,40,000 B 2,50,000 Computers 70,000 C 2,00,000 7,00,000 Investments (Market value ₹ 90,000) 1,00,000 General Reserve 60,000 Sundry Debtors 50,000 Investments Fluctuation Reserve 30,000 Cash in Hand 10,000 Sundry Creditors 90,000 Cash at Bank 55,000 Advertisement Suspense 5,000 8,80,000 8,80,000 They decided to share profits equally w.e.f. 1st April, 2019. They also agreed that:(i) Value of Land and Building be decreased by 5%.(ii) Value of Machinery be increased by 5%.(iii) A Provision for Doubtful Debts be created 5% on Sundry Debtors.(iv) A Motor Cycle valued at ₹ 20,000 was unrecorded and is now to be recorded in the books.(v) Out of Sundry Creditors, ₹ 10,000 is not payable.(vi) Goodwill is to be valued at 2 years' purchase of last 3 years profits. Profits being for 2018-19 − ₹ 50,000 (Loss); 2017-18 − ₹ 2,50,000 and 2016-17 − ₹ 2,50,000.(vii) C was to carry out the work for reconstituting the firm at a remuneration (including expenses) of ₹ 5,000. Expenses came to ₹ 3,000.Pass Journal entries and prepare Revaluation Account.

Answer» A, B and C are partners sharing profits and losses in the ratio of 5 : 3 : 2. Their Balance Sheet as at 31st March, 2019 stood as follows:


Liabilities		Amount (₹)	Assets	Amount (₹)
Capital A/cs:			Land and Building	3,50,000
A	2,50,000		Machinery	2,40,000
B	2,50,000		Computers	70,000
C	2,00,000	7,00,000	Investments (Market value ₹ 90,000)	1,00,000
General Reserve		60,000	Sundry Debtors	50,000
Investments Fluctuation Reserve		30,000	Cash in Hand	10,000
Sundry Creditors		90,000	Cash at Bank	55,000
			Advertisement Suspense	5,000
		8,80,000		8,80,000

They decided to share profits equally w.e.f. 1st April, 2019. They also agreed that:

(i) Value of Land and Building be decreased by 5%.

(ii) Value of Machinery be increased by 5%.

(iii) A Provision for Doubtful Debts be created 5% on Sundry Debtors.

(iv) A Motor Cycle valued at ₹ 20,000 was unrecorded and is now to be recorded in the books.

(v) Out of Sundry Creditors, ₹ 10,000 is not payable.

(vi) Goodwill is to be valued at 2 years' purchase of last 3 years profits. Profits being for 2018-19 − ₹ 50,000 (Loss); 2017-18 − ₹ 2,50,000 and 2016-17 − ₹ 2,50,000.

(vii) C was to carry out the work for reconstituting the firm at a remuneration (including expenses) of ₹ 5,000. Expenses came to ₹ 3,000.

Pass Journal entries and prepare Revaluation Account.

Discussion

13138.	If radii of the two concentric circles are 15 cm and 17 cm, then the length of each chord of one circle which is tangent to other is:(a) 8 cm(b) 16 cm(c) 30 cm(d) 17 cm
Answer» If radii of the two concentric circles are 15 cm and 17 cm, then the length of each chord of one circle which is tangent to other is: (a) 8 cm (b) 16 cm (c) 30 cm (d) 17 cm

Discussion

13139.	If sin θ=1√2, find all other trigonometric ratios of angle θ
Answer» If $s i n θ = \frac{1}{\sqrt{2}}$ , find all other trigonometric ratios of angle θ

Discussion

13140.	A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10cm, and its base is of radius 3.5cm , find the total surface area of the article
Answer» A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10cm, and its base is of radius 3.5cm , find the total surface area of the article

Discussion

13141.	Find the quadratic polynomial whose zeroes are 3+√5 and 3-√5
Answer» Find the quadratic polynomial whose zeroes are 3+√5 and 3-√5

Discussion

13142.	In △ABC, sin C = 35. Match the given trigonometric ratios with their values.
Answer» In $△ A B C,$ sin C = $\frac{3}{5} .$ Match the given trigonometric ratios with their values.

Discussion

13143.	A right circular cylinder has a radius of 14 cm and height 42 cm with both upper and lower circular areas closed. The total surface area of the cylinder is equal to ____.
Answer» A right circular cylinder has a radius of 14 cm and height 42 cm with both upper and lower circular areas closed. The total surface area of the cylinder is equal to ____.

Discussion

13144.	Find the mean of the following distribution using assumed mean. Class Interval100−11010−120120−130130−140140−150Frequency6914219
Answer» Find the mean of the following distribution using assumed mean. $\begin{matrix} C l a s s I n t e r v a l & 100 - 110 & 10 - 120 & 120 - 130 & 130 - 140 & 140 - 150 F r e q u e n c y & 6 & 9 & 14 & 2 & 19 \end{matrix}$

Discussion

13145.	The height of the building is 7 m, the height of the tower is.
Answer» The height of the building is 7 m, the height of the tower is.

Discussion

13146.	The length of a rectangular park is twice its breadth, and its perimeter measures 840 m. Find the area of the park.
Answer» The length of a rectangular park is twice its breadth, and its perimeter measures 840 m. Find the area of the park.

Discussion

13147.	AB is parallel to CD, EF intersects them at M and N. The bisectors of ∠BMN and ∠MND meet at Q. If ∠AME=80∘, then ∠MQN is:
Answer» AB is parallel to CD, EF intersects them at M and N. The bisectors of $∠ B M N a n d ∠ M N D$ meet at Q. If $∠ A M E = 80^{\circ}$ , then $∠ M Q N$ is:

Discussion

13148.	Question 6The taxi fare after each km, when the fare is ₹ 15 for the first km and ₹ 8 for each additional km, does not form an AP as the total fare (in ₹) after each km is 15, 8, 8, 8, … Is the statement true? Give reasons.
Answer» Question 6 The taxi fare after each km, when the fare is ₹ 15 for the first km and ₹ 8 for each additional km, does not form an AP as the total fare (in ₹) after each km is 15, 8, 8, 8, … Is the statement true? Give reasons.

Discussion

13149.	A box contains 4 black beads, 6 white beads, and 10 red beads. Another box contains 7 black beads, 5 white beads, and 8 red beads. If we take one bead from each box, without looking into it, what is the probability of getting at least one black bead?
Answer» A box contains 4 black beads, 6 white beads, and 10 red beads. Another box contains 7 black beads, 5 white beads, and 8 red beads. If we take one bead from each box, without looking into it, what is the probability of getting at least one black bead?

Discussion

13150.	The area of a circle is 9π cm2. Its circumference is(a) 6π cm (b) 36π cm (c) 9π cm (d) 36π2 cm
Answer» The area of a circle is 9 $π$ cm². Its circumference is (a) 6 $π$ cm (b) 36 $π$ cm (c) 9 $π$ cm (d) 36 $π^{2}$ cm

Discussion

Explore topic-wise InterviewSolutions in .

Of two numbers ,3 times the larger one is greater than 4 times the smaller one by 7.Also, the sum of numbers is larger than 6 times their difference by 4.Find the numbers.

The sum of first ten terms of an A.P. is four times the sum of its first five terms. What is the ratio of first term and common difference?

In the figure, B and C are the centres of the 2 circles with radii 9 cm and 3 cm respectively. Also, PQ is the transverse common tangent. Find the length of PQ, if the centres of circles are 15 cm apart.

Separate the variables in the below given equation. 7x - 2y = 5xyAfter separating the variables equation is of the form7□ - 2□ = 5

Verify Euler’s formula for the following graphs.(i)(ii)(iii)(iv)(v)(vi)

Fill in the blank :In Δ PQR, D is the mid-point of QR. PD is ______.

Find the following pair of linear equations by the substituting method:- (a) 3x-y=3 9x-3y=9 b) 0.2x+0.3y=1.3 0.4x+0.5y=2.3

Find the value of y for which the distance between the points P(2,-3) and Q(10,y) is 10 units

From the given figure, the lenght of OB is

29. if the polynomial x - 6x + 16x - 25x + 10 is divided by (x - 2x +k) the remainder comes out to be x+b . find k and b

If the product of the roots of x2–3x+k=10 is –2, then find the value of k.

Which of the following words has highest probability of getting vowel if a letter is picked randomly from them?

difference between sin^2thitha and sinthitha^2

The hotel bill for a number of people for overnight stay is ₹4800 . If there were four more the bill each person had to pay would have reduced by ₹200 . Find the number of people staying overnight .

The slant height and the diameter of a conical tent are 25 m and 14 m respectively. Calculate the cost of the canvas used at Rs 15 per sq. m.

In ∆ABC, given that AB = AC and BD ⊥ AC. Prove that BC2 = 2 AC. CD

A pole s†an ds on the road such that its shadow increases in length by 'a' metres when the angle of elevation of sun changes from α to β.If †anα=\sqrt3 †anβ then find the height of the pole. Also find the initial length of shado

12.Order and degree of the differential equation of family of lines situated at a constant distance p from the origin?

Integration of cosx. log (cosecx+cotx)dx

2. If a tower 30m high casts a shadow 10\sqrt{}3m long on the ground then what is the angle of elevation of sun

Water in a canal, 6 m wide and 1.5 m deep, is flowing at a speed of 4 km/hr. How much area will it irrigate in 10 minutes if 8 cm of standing water is needed for irrigation? [CBSE 2014]

Find the volume of a hemisphere whose radius is 3 inches.

Match the following labels to their corresponding shapes.(i) A(a) Cylinder(ii) B(b) Frustum(iii) C(c) Cone(iv) D(d) Cuboid

If -1, 1 &amp; 3 are the zeroes of a cubic polynomial, then the correct expression of the polynomial is .

Question 1 (v) Complete the following statements: The probability of an event is greater than or equal to ___ and less than or equal to ___.

The coordinates of the point equidistant from the vertices O(0, 0), A(6, 0) and B(0, 8) of ΔOAB are ___________.

The sides of an equilateral triangle are 4 centimetres long. What is the radius of its circumcircle?

A company, with 10,000 shares of Rs 100 each, declares an annual dividend of 5%. (i) What is the total amount of dividend paid by the company ? (ii) What should be the annual income of a man who has 72 shares in the company ?

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

4. If there are (2n+1)terms in an AP,then prove that the ratio of the sum of odd terms and the sum of even terms is (n+1) : n.

A man of height 60 cm is walking away from the base of a building at a speed of 2.2 m/s. If the height of the building is 7.2 m, then find the length of the shadow of man after 5s.

How many positive integers less than 1000 have the property that the sum of the digits of each number is divisible by 7 and the number itself is divisible by 3

A train travels a distance of 480 kilometre at a uniform speed .If the speed had been 8 kilometre per hour less then it would have Taken 3 h o u r s more to cover the same distance .We need to find the speed of the train.

In the given figure, PSR, RTQ and PAQ are three semicircles of diameter 10 cm, 3 cm and 7 cm respectively. Find the perimeter of shaded region.

If a≠b≠c, prove that the points (a,a2),(b,b2),(c,c2) can never be collinear.

If radii of the two concentric circles are 15 cm and 17 cm, then the length of each chord of one circle which is tangent to other is:(a) 8 cm(b) 16 cm(c) 30 cm(d) 17 cm

If sin θ=1√2, find all other trigonometric ratios of angle θ

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10cm, and its base is of radius 3.5cm , find the total surface area of the article

Find the quadratic polynomial whose zeroes are 3+√5 and 3-√5

In △ABC, sin C = 35. Match the given trigonometric ratios with their values.

A right circular cylinder has a radius of 14 cm and height 42 cm with both upper and lower circular areas closed. The total surface area of the cylinder is equal to ____.

Find the mean of the following distribution using assumed mean. Class Interval100−11010−120120−130130−140140−150Frequency6914219

The height of the building is 7 m, the height of the tower is.

The length of a rectangular park is twice its breadth, and its perimeter measures 840 m. Find the area of the park.

AB is parallel to CD, EF intersects them at M and N. The bisectors of ∠BMN and ∠MND meet at Q. If ∠AME=80∘, then ∠MQN is:

Question 6The taxi fare after each km, when the fare is ₹ 15 for the first km and ₹ 8 for each additional km, does not form an AP as the total fare (in ₹) after each km is 15, 8, 8, 8, … Is the statement true? Give reasons.

A box contains 4 black beads, 6 white beads, and 10 red beads. Another box contains 7 black beads, 5 white beads, and 8 red beads. If we take one bead from each box, without looking into it, what is the probability of getting at least one black bead?

The area of a circle is 9π cm2. Its circumference is(a) 6π cm (b) 36π cm (c) 9π cm (d) 36π2 cm

If -1, 1 & 3 are the zeroes of a cubic polynomial, then the correct expression of the polynomial is .

Question 1 (v) Complete the following statements: The probability of an event is greater than or equal to _ and less than or equal to _.