32581 + Interview Questions in Mathematics

1.	Draw a circle of radius 8 cm and inside it, draw and highlight the following parts:(1) Sector(2) Segment(3) Chord(4) Minor Arc
Answer» Draw a circle of radius 8 cm and inside it, draw and highlight the following parts: (1) Sector (2) Segment (3) Chord (4) Minor Arc

Discussion

2.	If the sides of a quadrilateral ABCD touch a circle, then prove that AB+CD=BC+AD
Answer» If the sides of a quadrilateral ABCD touch a circle, then prove that AB+CD=BC+AD

Discussion

3.	If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is:
Answer» If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is:

Discussion

4.

Pass Journal entries in the books of Raghunath Bros. from the following transactions:- 2016 June 01 Raghunath Bros. started business with cash ₹ 80,000; Goods ₹ 40,000 and furniture ₹ 20,000. June 02 Sold goods to Nandlal of the list price of ₹ 20,000 at trade discount of 10%. June 04 Nandlal returned goods of the list price of ₹ 4,000. June 08 Received from Nandlal ₹ 14,150 in full settlement of his account. June 10 Purchased goods from Brij Mohan of the list price of ₹ 10,000 at 15% trade discount. June 13 Returned goods to Brij Mohan of the list price of ₹ 1,000. June 16 Settled the account of Brij Mohan by paying cash, under a discount of 4%. June 18 Purchased goods from Anil ₹ 5,000; Sunil ₹ 10,000. June 19 Paid cash to Anil ₹ 1,900 and discount received ₹ 100. June 20 Paid ₹ 9,800 to Sunil in full settlement of his account. June 20 Bought a 'Table Fan' for ₹ 8,000 for the domestic use of Raghunath. June 25 Sold goods for cash of the list price of ₹ 8,000 at 10% trade discount and 3% cash discount. June 30 Paid Rent ₹ 8,000; Trade Expenses ₹ 7,000 and Travelling Expenses ₹ 3,800.

Answer»

Pass Journal entries in the books of Raghunath Bros. from the following transactions:-

2016
June 01	Raghunath Bros. started business with cash ₹ 80,000; Goods ₹ 40,000 and furniture ₹ 20,000.
June 02	Sold goods to Nandlal of the list price of ₹ 20,000 at trade discount of 10%.
June 04	Nandlal returned goods of the list price of ₹ 4,000.
June 08	Received from Nandlal ₹ 14,150 in full settlement of his account.
June 10	Purchased goods from Brij Mohan of the list price of ₹ 10,000 at 15% trade discount.
June 13	Returned goods to Brij Mohan of the list price of ₹ 1,000.
June 16	Settled the account of Brij Mohan by paying cash, under a discount of 4%.
June 18	Purchased goods from Anil ₹ 5,000; Sunil ₹ 10,000.
June 19	Paid cash to Anil ₹ 1,900 and discount received ₹ 100.
June 20	Paid ₹ 9,800 to Sunil in full settlement of his account.
June 20	Bought a 'Table Fan' for ₹ 8,000 for the domestic use of Raghunath.
June 25	Sold goods for cash of the list price of ₹ 8,000 at 10% trade discount and 3% cash discount.
June 30	Paid Rent ₹ 8,000; Trade Expenses ₹ 7,000 and Travelling Expenses ₹ 3,800.

Discussion

5.	a and b are two positive integers such that a+b=a/b+b/a find the value of a^2+b^2
Answer» a and b are two positive integers such that a+b=a/b+b/a find the value of a^2+b^2

Discussion

6.	if sin A=1/2 then (sin2A-cosA)
Answer» if sin A=1/2 then (sin2A-cosA)

Discussion

7.	42.Four dice are rolled .the no. Of ways in which at least one die shows 3.
Answer» 42.Four dice are rolled .the no. Of ways in which at least one die shows 3.

Discussion

8.	Bharat Ltd. was incorporated with a capital of ₹ 2,00,000 divided into shares of ₹ 10 each. 2,000 shares were offered for subscription and out of these, 1,800 shares were applied for and allotted. ₹ 3 per share (including ₹ 1 premium) was payable on application, ₹ 4 per share (including ₹ 1 premium) on allotment, ₹ 2 per share on first call and ₹ 3 per share on final call. All the money was received. Give necessary Journal entries and show share capital in the Balance Sheet.
Answer» Bharat Ltd. was incorporated with a capital of ₹ 2,00,000 divided into shares of ₹ 10 each. 2,000 shares were offered for subscription and out of these, 1,800 shares were applied for and allotted. ₹ 3 per share (including ₹ 1 premium) was payable on application, ₹ 4 per share (including ₹ 1 premium) on allotment, ₹ 2 per share on first call and ₹ 3 per share on final call. All the money was received. Give necessary Journal entries and show share capital in the Balance Sheet.

Discussion

9.	In trapezium ABCD, AB=16 cm, CE=4 cm and the area of trapezium =50 cm2. Find CD.
Answer» In trapezium $A B C D, A B = 16 c m, C E = 4 c m$ and the area of trapezium $= 50 c m^{2}$ . Find $C D$ .

9.

In trapezium ABCD, AB=16 cm, CE=4 cm and the area of trapezium =50 cm2. Find CD.

Answer»

In trapezium $A B C D, A B = 16 c m, C E = 4 c m$ and the area of trapezium $= 50 c m^{2}$ . Find $C D$ .

Discussion

10.	In the above triangle ABC, point P is the centroid of the triangle. The length of AE is 15 cm. Find the length of AP and PE.
Answer» In the above triangle ABC, point P is the centroid of the triangle. The length of AE is 15 cm. Find the length of AP and PE.

Discussion

11.	Find the sum of each arithmetic series 1). 38+35+32+......+2
Answer» Find the sum of each arithmetic series 1). 38+35+32+......+2

11.

Find the sum of each arithmetic series 1). 38+35+32+......+2

Answer»

Find the sum of each arithmetic series

1). 38+35+32+......+2

Discussion

12.	If two dice are thrown, what is the probability that the sum is neither 9 nor 12 ?
Answer» If two dice are thrown, what is the probability that the sum is neither 9 nor 12 ?

Discussion

13.	Find the annual income derived from 760, ₹100 shares paying 15% dividend.
Answer» Find the annual income derived from 760, ₹100 shares paying $15 %$ dividend.

Discussion

14.	The number of quadratic polynomials whose zeroes are 2 and – 3, is __________.
Answer» The number of quadratic polynomials whose zeroes are 2 and – 3, is __________.

Discussion

15.	To draw a pair of tangents to a circle which are inclined to each other at an angle of 47∘, it is required to draw tangents at the end points of those two radii of the circle, the angle between the radii is
Answer» To draw a pair of tangents to a circle which are inclined to each other at an angle of $47^{\circ}$ , it is required to draw tangents at the end points of those two radii of the circle, the angle between the radii is

Discussion

16.	The locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit is
Answer» The locus of the point which moves in such a way that its distance from the line $y = - 6$ is always equal to 1 unit is

Discussion

17.	The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?
Answer» The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?

Discussion

18.	Sum of the areas of two squares is 640 m2. If the difference of their perimeters is 64 m. Find the sides of the two squares.
Answer» Sum of the areas of two squares is 640 m². If the difference of their perimeters is 64 m. Find the sides of the two squares.

Discussion

19.	Represent the following pair of equations graphically and write the coordinates of points where the lines intersects y-axis.x + 3y = 62x − 3y = 12
Answer» Represent the following pair of equations graphically and write the coordinates of points where the lines intersects y-axis. x + 3y = 6 2x − 3y = 12

Discussion

20.	A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter d of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
Answer» A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter d of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

Discussion

21.	The area of the base of a rectangular tank is 6500 cm2 and the volume of water contained in it is 2.6 m3. The depth of water in the tank is (a) 3.5 m (b) 4 m (c) 5 m (d) 8 m
Answer» The area of the base of a rectangular tank is 6500 $c m^{2}$ and the volume of water contained in it is 2.6 $m^{3}$ . The depth of water in the tank is (a) 3.5 m (b) 4 m (c) 5 m (d) 8 m

21.

The area of the base of a rectangular tank is 6500 cm2 and the volume of water contained in it is 2.6 m3. The depth of water in the tank is (a) 3.5 m (b) 4 m (c) 5 m (d) 8 m

Answer»

The area of the base of a rectangular tank is 6500 $c m^{2}$ and the volume of water contained in it is 2.6 $m^{3}$ . The depth of water in the tank is

(a) 3.5 m (b) 4 m (c) 5 m (d) 8 m

Discussion

22.	Find the zeroes of the polynomial x2−2.
Answer» $Find the zeroes of the polynomial x^{2} - 2.$

Discussion

23.	Find the largest four-digits number which when divided by 4, 7 and 13 leaves a remainder of 3 in each case.
Answer» Find the largest four-digits number which when divided by 4, 7 and 13 leaves a remainder of 3 in each case.

Discussion

24.	Question 04. Will the median class and modal class of grouped data always be different ? Justify your answer.
Answer» Question 04. Will the median class and modal class of grouped data always be different ? Justify your answer.

Discussion

25.	Which among the following is a quadratic polynomial?
Answer» Which among the following is a quadratic polynomial?

Discussion

26.

A and B are partners in a firm sharing profits in the ratio of 3 : 2. They decide to admit C as a new partner w.e.f. 1st April, 2019. In future, profits will be shared equally. The Balance Sheet of A and B as at 1st April, 2019 and the terms of admission are: BALANCE SHEET OF A AND B Liabilities Amount (₹) Assets Amount (₹) Sundry Creditors 60,000 Cash in Bank 40,000 Outstanding Expenses 15,000 Sundry Debtors 36,000 Capital A/cs: Stock 84,000 A 3,00,000 Furniture and Fittings 65,000 B 3,00,000 6,00,000 Plant and Machinery 4,50,000 6,75,000 6,75,000 (a) Capital of the firm is fixed at ₹ 6,00,000 to be contributed by partners in the profit-sharing ratio. The difference will be adjusted in cash.(b) C to bring in his share of capital and goodwill in cash. Goodwill of the firm is to be valued on the basis of two years' purchases of super profit. The average net profits expected in the future by the firm ₹ 90,000 per year. The normal rate of return on capital in similar business is 10%.(c) The partners agreed to help maintain the plants and keep the area clean.Calculate goodwill and prepare Partners' Capital Accounts and Bank Account.

Answer» A and B are partners in a firm sharing profits in the ratio of 3 : 2. They decide to admit C as a new partner w.e.f. 1st April, 2019. In future, profits will be shared equally. The Balance Sheet of A and B as at 1st April, 2019 and the terms of admission are:


BALANCE SHEET OF A AND B
Liabilities		Amount (₹)	Assets	Amount (₹)
Sundry Creditors		60,000	Cash in Bank	40,000
Outstanding Expenses		15,000	Sundry Debtors	36,000
Capital A/cs:			Stock	84,000
A	3,00,000		Furniture and Fittings	65,000
B	3,00,000	6,00,000	Plant and Machinery	4,50,000
		6,75,000		6,75,000

(a) Capital of the firm is fixed at ₹ 6,00,000 to be contributed by partners in the profit-sharing ratio. The difference will be adjusted in cash.

(b) C to bring in his share of capital and goodwill in cash. Goodwill of the firm is to be valued on the basis of two years' purchases of super profit. The average net profits expected in the future by the firm ₹ 90,000 per year. The normal rate of return on capital in similar business is 10%.

(c) The partners agreed to help maintain the plants and keep the area clean.

Calculate goodwill and prepare Partners' Capital Accounts and Bank Account.

Discussion

27.	What is the distance between the points (0,6) and (0,-2)?
Answer» What is the distance between the points (0,6) and (0,-2)?

Discussion

28.

The following table gives the frequency distribution of married women by age at marriage: Age (in years) Frequency Age (in years) Frequency 15−19 20−24 25−29 30−34 35−39 53 140 98 32 12 40−44 45−49 50−54 55−59 60 and above 9 5 3 3 2 Calculate the median and interpret the results.

Answer» The following table gives the frequency distribution of married women by age at marriage:

Age (in years)	Frequency	Age (in years)	Frequency
15−19 20−24 25−29 30−34 35−39	53 140 98 32 12	40−44 45−49 50−54 55−59 60 and above	9 5 3 3 2

Calculate the median and interpret the results.

Discussion

29.	find the value of k, if the area of a triangle formed by the points (2,4),(5,k) and (3,10) is 15 sq units.
Answer» find the value of k, if the area of a triangle formed by the points (2,4),(5,k) and (3,10) is 15 sq units.

Discussion

30.	Choose the correct answer of the following question:The lengths of a vertical rod and its shadow are in the ratio 1:3. The angle of elevation of the sun is(a) 30° (b) 45° (c) 60° (d) 90°
Answer» Choose the correct answer of the following question: The lengths of a vertical rod and its shadow are in the ratio $1 : \sqrt{3}$ . The angle of elevation of the sun is (a) 30° (b) 45° (c) 60° (d) 90°

Discussion

31.	XY is drawn parallel to the base BC of a ∆ABC cutting AB at X and AC at Y. If AB = 4 BX and YC = 2 cm, then AY =(a) 2 cm(b) 4 cm(c) 6 cm(d) 8 cm
Answer» XY is drawn parallel to the base BC of a ∆ABC cutting AB at X and AC at Y. If AB = 4 BX and YC = 2 cm, then AY = (a) 2 cm (b) 4 cm (c) 6 cm (d) 8 cm

Discussion

32.	Question 1Find the surface area of a sphere of radius:(i) 10.5 cm(ii) 5.6 cm(iii) 14 cm[Assume π=227]
Answer» Question 1 Find the surface area of a sphere of radius: (i) 10.5 cm (ii) 5.6 cm (iii) 14 cm $[A s s u m e π = \frac{22}{7}]$

32.

Question 1Find the surface area of a sphere of radius:(i) 10.5 cm(ii) 5.6 cm(iii) 14 cm[Assume π=227]

Answer»

Question 1

Find the surface area of a sphere of radius:

(i) 10.5 cm

(ii) 5.6 cm

(iii) 14 cm

$[A s s u m e π = \frac{22}{7}]$

Discussion

33.	Question 92 In the following question, state whether the given statement is true (T) or false (F). Sum of two distinct whole number is always less than their product.
Answer» Question 92 In the following question, state whether the given statement is true (T) or false (F). Sum of two distinct whole number is always less than their product.

33.

Question 92 In the following question, state whether the given statement is true (T) or false (F). Sum of two distinct whole number is always less than their product.

Answer»

Question 92

In the following question, state whether the given statement is true (T) or false (F).

Sum of two distinct whole number is always less than their product.

Discussion

34.	There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.
Answer» There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.

Discussion

35.	The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone of same diameter.The height of the cone is 2.8 m. Find the outer surface area of the building. [CBSE 2014]
Answer» The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone of same diameter. The height of the cone is 2.8 m. Find the outer surface area of the building. [CBSE 2014]

Discussion

36.	Question 2 (iii) Do the following equations represent a pair of coincident lines? Justify your answer. x2+y+25=0 and 4x+8y+516=0
Answer» Question 2 (iii) Do the following equations represent a pair of coincident lines? Justify your answer. $\frac{x}{2} + y + \frac{2}{5} = 0 a n d 4 x + 8 y + \frac{5}{16} = 0$

Discussion

37.	How many terms of the series 2 + 6 + 18 + ............ must be taken to make the sum equal to 728 ?
Answer» How many terms of the series 2 + 6 + 18 + ............ must be taken to make the sum equal to 728 ?

Discussion

38.	If sum of zeros of the quadratic polynomial p x is equal to x square - 8 x + K is 40 find the value of k
Answer» If sum of zeros of the quadratic polynomial p x is equal to x square - 8 x + K is 40 find the value of k

Discussion

39.	Find the volume of a sphere of diameter 6 cm.
Answer» Find the volume of a sphere of diameter $6 c m$ .

Discussion

40.	Solve the following quadratic equations by factorization:x2 + 2ab = (2a + b)x
Answer» Solve the following quadratic equations by factorization: x² + 2ab = (2a + b)x

Discussion

41.	If the coordinates of a triangle ABC is A(3,1), B(5,1) and C(6,8) then find the side of the triangle which is parallel to the X-axis.
Answer» If the coordinates of a triangle ABC is A(3,1), B(5,1) and C(6,8) then find the side of the triangle which is parallel to the X-axis.

Discussion

42.	Evaluate each of the followingsin 45° sin 30° + cos 45° cos 30°
Answer» Evaluate each of the following sin 45° sin 30° + cos 45° cos 30°

Discussion

43.	In ΔABC, a(cos2B+cos2C)+cosA(ccosC+bcosB)=
Answer» In $Δ A B C$ , $a ({cos}^{2} B + {cos}^{2} C) + cos A (c cos C + b cos B) =$

Discussion

44.	Prove that the perpendicular bisetor of the base of an isosceles triangle passes through the vertex of the triangle.
Answer» Prove that the perpendicular bisetor of the base of an isosceles triangle passes through the vertex of the triangle.

Discussion

45.	From the top of a 30 m pole, the angleof elevation and depression of the top and foot of a tower are equal. The height of the tower is ___.
Answer» From the top of a 30 m pole, the angleof elevation and depression of the top and foot of a tower are equal. The height of the tower is ___.

Discussion

46.	Evaluate :(i) 23 cos4 30-sin4 45°-3sin2 60°-sec2 45°+14cot2 30°(ii) 4sin4 30°+cos4 60°-23sin2 60°-cos2 45°+12 tan2 60°(iii) sin 50°cos 40°+cosec 40°sec 50°-4 cos 50° cosec 40°(iv) tan 35° tan 40° tan 45° tan 50° tan 55°(v) cosec (65° + θ) − sec (25° − θ) − tan (55° − θ) + cot (35° + θ)(vi) tan 7° tan 23° tan 60° tan 67° tan 83°(vii) 2 sin 68°cos 22°-2 cot 15°5 tan 75°-3 tan 45° tan 20° tan 40° tan 50° tan 70°5(viii) 3 cos 55°7 sin 35°-4cos 70° cosec 20°7tan 5° tan 25° tan 45° tan 65° tan 85°(ix) sin 18°cos 72°+3 tan 10° tan 30° tan 40° tan 50° tan 80°(x) cos 58°sin 32°+sin 22°cos 68°-cos 38° cosec 52°tan 18° tan 35° tan 60° tan 72° tan 55°
Answer» Evaluate : (i) $\frac{2}{3} (\cos^{4} 30 - \sin^{4} 45 °) - 3 (\sin^{2} 60 ° - \sec^{2} 45 °) + \frac{1}{4} \cot^{2} 30 °$ (ii) $4 (\sin^{4} 30 ° + \cos^{4} 60 °) - \frac{2}{3} (\sin^{2} 60 ° - \cos^{2} 45 °) + \frac{1}{2} \tan^{2} 60 °$ (iii) $\frac{\sin 50 °}{\cos 40 °} + \frac{cosec 40 °}{\sec 50 °} - 4 \cos 50 ° cosec 40 °$ (iv) tan 35° tan 40° tan 45° tan 50° tan 55° (v) cosec (65° + θ) − sec (25° − θ) − tan (55° − θ) + cot (35° + θ) (vi) tan 7° tan 23° tan 60° tan 67° tan 83° (vii) $\frac{2 \sin 68 °}{\cos 22 °} - \frac{2 \cot 15 °}{5 \tan 75 °} - \frac{3 \tan 45 ° \tan 20 ° \tan 40 ° \tan 50 ° \tan 70 °}{5}$ (viii) $\frac{3 \cos 55 °}{7 \sin 35 °} - \frac{4 (\cos 70 ° cosec 20 °)}{7 (\tan 5 ° \tan 25 ° \tan 45 ° \tan 65 ° \tan 85 °)}$ (ix) $\frac{\sin 18 °}{\cos 72 °} + \sqrt{3} \{\tan 10 ° \tan 30 ° \tan 40 ° \tan 50 ° \tan 80 °\}$ (x) $\frac{\cos 58 °}{\sin 32 °} + \frac{\sin 22 °}{\cos 68 °} - \frac{\cos 38 ° cosec 52 °}{\tan 18 ° \tan 35 ° \tan 60 ° \tan 72 ° \tan 55 °}$

Discussion

47.	69. What is the formula of perimeterof sector?
Answer» 69. What is the formula of perimeterof sector?

Discussion

48.	Question 1 (ii)Which of the following form an AP? Justify your answer.0, 2, 0, 2, …
Answer» Question 1 (ii) Which of the following form an AP? Justify your answer. 0, 2, 0, 2, …

Discussion

49.	If αβ and γ are zeros of 6x3+3x2−5x+1 then find 1α+1β and 1γ.
Answer» If $α β$ and $γ$ are zeros of $6 x^{3} + 3 x^{2} - 5 x + 1$ then find $\frac{1}{α} + \frac{1}{β}$ and $\frac{1}{γ}$ .

Discussion

50.	If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {1, 4, 6, 9, 11, 12}, then set AC is ________.
Answer» If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {1, 4, 6, 9, 11, 12}, then set A^C is ________.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Draw a circle of radius 8 cm and inside it, draw and highlight the following parts:(1) Sector(2) Segment(3) Chord(4) Minor Arc

If the sides of a quadrilateral ABCD touch a circle, then prove that AB+CD=BC+AD

If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is:

a and b are two positive integers such that a+b=a/b+b/a find the value of a^2+b^2

if sin A=1/2 then (sin2A-cosA)

42.Four dice are rolled .the no. Of ways in which at least one die shows 3.

In trapezium ABCD, AB=16 cm, CE=4 cm and the area of trapezium =50 cm2. Find CD.

In the above triangle ABC, point P is the centroid of the triangle. The length of AE is 15 cm. Find the length of AP and PE.

Find the sum of each arithmetic series 1). 38+35+32+......+2

If two dice are thrown, what is the probability that the sum is neither 9 nor 12 ?

Find the annual income derived from 760, ₹100 shares paying 15% dividend.

The number of quadratic polynomials whose zeroes are 2 and – 3, is __________.

To draw a pair of tangents to a circle which are inclined to each other at an angle of 47∘, it is required to draw tangents at the end points of those two radii of the circle, the angle between the radii is

The locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit is

The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?

Sum of the areas of two squares is 640 m2. If the difference of their perimeters is 64 m. Find the sides of the two squares.

Represent the following pair of equations graphically and write the coordinates of points where the lines intersects y-axis.x + 3y = 62x − 3y = 12

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter d of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

The area of the base of a rectangular tank is 6500 cm2 and the volume of water contained in it is 2.6 m3. The depth of water in the tank is (a) 3.5 m (b) 4 m (c) 5 m (d) 8 m

Find the zeroes of the polynomial x2−2.

Find the largest four-digits number which when divided by 4, 7 and 13 leaves a remainder of 3 in each case.

Question 04. Will the median class and modal class of grouped data always be different ? Justify your answer.

Which among the following is a quadratic polynomial?

What is the distance between the points (0,6) and (0,-2)?

The following table gives the frequency distribution of married women by age at marriage: Age (in years) Frequency Age (in years) Frequency 15−19 20−24 25−29 30−34 35−39 53 140 98 32 12 40−44 45−49 50−54 55−59 60 and above 9 5 3 3 2 Calculate the median and interpret the results.

find the value of k, if the area of a triangle formed by the points (2,4),(5,k) and (3,10) is 15 sq units.

Choose the correct answer of the following question:The lengths of a vertical rod and its shadow are in the ratio 1:3. The angle of elevation of the sun is(a) 30° (b) 45° (c) 60° (d) 90°

XY is drawn parallel to the base BC of a ∆ABC cutting AB at X and AC at Y. If AB = 4 BX and YC = 2 cm, then AY =(a) 2 cm(b) 4 cm(c) 6 cm(d) 8 cm

Question 1Find the surface area of a sphere of radius:(i) 10.5 cm(ii) 5.6 cm(iii) 14 cm[Assume π=227]

Question 92 In the following question, state whether the given statement is true (T) or false (F). Sum of two distinct whole number is always less than their product.

There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.

The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone of same diameter.The height of the cone is 2.8 m. Find the outer surface area of the building. [CBSE 2014]

Question 2 (iii) Do the following equations represent a pair of coincident lines? Justify your answer. x2+y+25=0 and 4x+8y+516=0

How many terms of the series 2 + 6 + 18 + ............ must be taken to make the sum equal to 728 ?

If sum of zeros of the quadratic polynomial p x is equal to x square - 8 x + K is 40 find the value of k

Find the volume of a sphere of diameter 6 cm.

Solve the following quadratic equations by factorization:x2 + 2ab = (2a + b)x

If the coordinates of a triangle ABC is A(3,1), B(5,1) and C(6,8) then find the side of the triangle which is parallel to the X-axis.

Evaluate each of the followingsin 45° sin 30° + cos 45° cos 30°

In ΔABC, a(cos2B+cos2C)+cosA(ccosC+bcosB)=

Prove that the perpendicular bisetor of the base of an isosceles triangle passes through the vertex of the triangle.

From the top of a 30 m pole, the angleof elevation and depression of the top and foot of a tower are equal. The height of the tower is ___.

69. What is the formula of perimeterof sector?

Question 1 (ii)Which of the following form an AP? Justify your answer.0, 2, 0, 2, …

If αβ and γ are zeros of 6x3+3x2−5x+1 then find 1α+1β and 1γ.

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {1, 4, 6, 9, 11, 12}, then set AC is ________.