24740 + Interview Questions in Mathematics

1.	Find the remainder when p(x)= x^4-3x^3+2x^2+1 is divided by 2x-1.
Answer» Find the remainder when p(x)= x^4-3x^3+2x^2+1 is divided by 2x-1.

Discussion

2.

Rim Zim Ltd. maintains a current account with the State Bank of India. On 31st March, 2017, the bank column of its cash book showed a debit balance of ₹ 1,54,300. However, the bank statement showed a different balance as on that date. The following were the reasons for the difference : ₹ (i) Cheques deposited, but not yet credited by the bank 75,450 (ii) Cheques issued, but not yet presented for payment 80,760 (iii) Bank charges not yet recorded in the cash book 1,135 (iv) Cheques received by the bank directly from trade debtors 1,35,200 (v) Insurance premium paid by the bank as per standing instructions, but not yet recorded in the cash book 15,400 (vi) Dividend collected by the bank, but not yet recorded in the cash book 1,000 Find out the balance as per the bank statement as on 31st March, 2017.

Answer» Rim Zim Ltd. maintains a current account with the State Bank of India. On 31st March, 2017, the bank column of its cash book showed a debit balance of ₹ 1,54,300. However, the bank statement showed a different balance as on that date. The following were the reasons for the difference :

		₹
(i)	Cheques deposited, but not yet credited by the bank	75,450
(ii)	Cheques issued, but not yet presented for payment	80,760
(iii)	Bank charges not yet recorded in the cash book	1,135
(iv)	Cheques received by the bank directly from trade debtors	1,35,200
(v)	Insurance premium paid by the bank as per standing instructions, but not yet recorded in the cash book	15,400
(vi)	Dividend collected by the bank, but not yet recorded in the cash book	1,000

Find out the balance as per the bank statement as on 31st March, 2017.

Discussion

3.	Factorize:55x2+20x+35
Answer» Factorize: $5 \sqrt{5} x^{2} + 20 x + 3 \sqrt{5}$

Discussion

4.	How to show √5 on number line
Answer» How to show $\sqrt{5}$ on number line

Discussion

5.	Q. Factorise 7x⁴+20=27x²
Answer» Q. Factorise 7x⁴+20=27x²

Discussion

6.	A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.
Answer» A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.

Discussion

7.	In a triangle, P, Q and R are the mid-points of sides BC, CA and AB respectively. If AC = 21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ.
Answer» In a triangle, P, Q and R are the mid-points of sides BC, CA and AB respectively. If AC = 21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ.

Discussion

8.	Consider the following distribution of the number of mangoes being packed in cardboard boxes where these boxes contain varying number of mangoes. Find the mean number of mangoes kept in a packing box using assumed mean method?Number of mangoes50−5253−5556−5859−6162−64Number of boxes1511013511525
Answer» Consider the following distribution of the number of mangoes being packed in cardboard boxes where these boxes contain varying number of mangoes. Find the mean number of mangoes kept in a packing box using assumed mean method? $\begin{matrix} N u m b e r o f m a n g o e s & 50 - 52 & 53 - 55 & 56 - 58 & 59 - 61 & 62 - 64 N u m b e r o f b o x e s & 15 & 110 & 135 & 115 & 25 \end{matrix}$

8.

Consider the following distribution of the number of mangoes being packed in cardboard boxes where these boxes contain varying number of mangoes. Find the mean number of mangoes kept in a packing box using assumed mean method?Number of mangoes50−5253−5556−5859−6162−64Number of boxes1511013511525

Answer»

Consider the following distribution of the number of mangoes being packed in cardboard boxes where these boxes contain varying number of mangoes. Find the mean number of mangoes kept in a packing box using assumed mean method?

$\begin{matrix} N u m b e r o f m a n g o e s & 50 - 52 & 53 - 55 & 56 - 58 & 59 - 61 & 62 - 64 N u m b e r o f b o x e s & 15 & 110 & 135 & 115 & 25 \end{matrix}$

Discussion

9.	If A1A=B1B=C1C and ABC+BCA+CAB=729, then the value of B1B is
Answer» If $A^{\frac{1}{A}} = B^{\frac{1}{B}} = C^{\frac{1}{C}}$ and $A^{B C} + B^{C A} + C^{A B} = 729$ , then the value of $B^{\frac{1}{B}}$ is

Discussion

10.	The marks obtained by 40 students in class X of a certain school in a math paper of 100 marks total are presented in the table. Find the mean using direct method.Class Interval0−1010−2020−3030−4040−50Number of students341315528.75
Answer» The marks obtained by 40 students in class X of a certain school in a math paper of 100 marks total are presented in the table. Find the mean using direct method. $\begin{matrix} C l a s s I n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 N u m b e r o f s t u d e n t s & 3 & 4 & 13 & 15 & 5 \end{matrix}$ 28.75

10.

The marks obtained by 40 students in class X of a certain school in a math paper of 100 marks total are presented in the table. Find the mean using direct method.Class Interval0−1010−2020−3030−4040−50Number of students341315528.75

Answer»

The marks obtained by 40 students in class X of a certain school in a math paper of 100 marks total are presented in the table. Find the mean using direct method.

$\begin{matrix} C l a s s I n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 N u m b e r o f s t u d e n t s & 3 & 4 & 13 & 15 & 5 \end{matrix}$

28.75

Discussion

11.	An electrician has to repair an electric falt on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to undertake the repair work. What should be the length of the ladder that he should use which when inclined at an angle of 60∘ to the horizontal would enable him to reach the required position?
Answer» An electrician has to repair an electric falt on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to undertake the repair work. What should be the length of the ladder that he should use which when inclined at an angle of $60^{\circ}$ to the horizontal would enable him to reach the required position?

Discussion

12.	Represent 1.787878787878... in pq form.
Answer» Represent $1.787878787878...$ in $\frac{p}{q}$ form.

Discussion

13.	An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal. Each of these angles is equal to(a) 75°(b) 80°(c) 40°(d) 50°
Answer» An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal. Each of these angles is equal to (a) 75° (b) 80° (c) 40° (d) 50°

Discussion

14.	Solve the following system of linear equations by using the method of elimination by equating the coefficients√3x−√2y=√3;√5x+√3y=√2
Answer» Solve the following system of linear equations by using the method of elimination by equating the coefficients $\sqrt{3} x - \sqrt{2} y = \sqrt{3}; \sqrt{5} x + \sqrt{3} y = \sqrt{2}$

Discussion

15.	Evaluate each of the following using identities:(i) (399)2(ii) (0.98)2(iii) 991 ☓ 1009(iv) 117 ☓ 83
Answer» Evaluate each of the following using identities: (i) (399)² (ii) (0.98)² (iii) 991 ☓ 1009 (iv) 117 ☓ 83

Discussion

16.	If 'l', 'b', and 'h' are the length, breadth, and height of the rectangular box respectively, then the product of the areas of all the faces of the box is equal to
Answer» If 'l', 'b', and 'h' are the length, breadth, and height of the rectangular box respectively, then the product of the areas of all the faces of the box is equal to

Discussion

17.	Let C be the mid-point of an arc AB of a circle such that m⌢AB=183o. If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies
Answer» Let C be the mid-point of an arc AB of a circle such that m $⌢ A B = 183^{o}$ . If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies

Discussion

18.	√6−√5√6+√5 = ________.
Answer» $\frac{\sqrt{6} - \sqrt{5}}{\sqrt{6} + \sqrt{5}}$ = ________.

Discussion

19.	Find the sum of the squares of the following:√3√2+1,√3√2−1,√2√3
Answer» Find the sum of the squares of the following: $\frac{\sqrt{3}}{\sqrt{2} + 1}, \frac{\sqrt{3}}{\sqrt{2} - 1}, \frac{\sqrt{2}}{\sqrt{3}}$

Discussion

20.	Question 52 If p and q are in inverse propotion, i.e. pq = k (constant), then (p + 2) and (q - 2) are also in inverse proportion.
Answer» Question 52 If p and q are in inverse propotion, i.e. pq = k (constant), then (p + 2) and (q - 2) are also in inverse proportion.

20.

Question 52 If p and q are in inverse propotion, i.e. pq = k (constant), then (p + 2) and (q - 2) are also in inverse proportion.

Answer»

Question 52

If p and q are in inverse propotion, i.e. pq = k (constant), then (p + 2) and (q - 2) are also in inverse proportion.

Discussion

21.	ABCD is a cyclic quadrilateral. If ∠BCD=100∘ and ∠ABD=70∘, then find ∠ADB.
Answer» ABCD is a cyclic quadrilateral. If $∠ B C D = 100^{\circ}$ and $∠ A B D = 70^{\circ},$ then find $∠ A D B .$

Discussion

22.	The daily minimum temperature recorded (in ^\circ F) at a place during six days of a week was as under: MondayWednesdayThursdayFridaySaturday35.530.827.332.123.829.9Find the mean temperature.
Answer» The daily minimum temperature recorded (in ^\circ F) at a place during six days of a week was as under: $\begin{matrix} Monday & Wednesday & Thursday & Friday & Saturday 35.5 & 30.8 & 27.3 & 32.1 & 23.8 & 29.9 \end{matrix}$ Find the mean temperature.

22.

The daily minimum temperature recorded (in ^\circ F) at a place during six days of a week was as under: MondayWednesdayThursdayFridaySaturday35.530.827.332.123.829.9Find the mean temperature.

Answer»

The daily minimum temperature recorded (in ^\circ F) at a place during six days of a week was as under:

$\begin{matrix} Monday & Wednesday & Thursday & Friday & Saturday 35.5 & 30.8 & 27.3 & 32.1 & 23.8 & 29.9 \end{matrix}$

Find the mean temperature.

Discussion

23.	A big contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is 25, find the number of red balls in the bag.
Answer» A big contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is $\frac{2}{5}$ , find the number of red balls in the bag.

Discussion

24.	x indicates the number of rounds and y indicates the total charges. The charges for the two types of bicycles are given below. Find the total charges (in $) if both centers charge the same amount.120
Answer» x indicates the number of rounds and y indicates the total charges. The charges for the two types of bicycles are given below. Find the total charges (in $) if both centers charge the same amount. 120

Discussion

25.	The area of the parallelogram shown in the figure is___
Answer» The area of the parallelogram shown in the figure is___

25.

The area of the parallelogram shown in the figure is___

Answer»

The area of the parallelogram shown in the figure is___

Discussion

26.	Construct an equilateral triangle, given its side and justify the construction
Answer» Construct an equilateral triangle, given its side and justify the construction

Discussion

27.	The equilateral triangle has lines of symmetry.
Answer» The equilateral triangle has lines of symmetry.

Discussion

28.	If the perimeter of triangle ABC is 14 cm such that AB = AC and BC = 6 cm, then find the length of AB.
Answer» If the perimeter of triangle ABC is 14 cm such that AB = AC and BC = 6 cm, then find the length of AB.

Discussion

29.	In the given figure, PQRT is a square with each side of length 16 cm. If 2OR = TS, then ratio of area of TORS and area ∆PQR is equal to
Answer» In the given figure, PQRT is a square with each side of length 16 cm. If 2OR = TS, then ratio of area of TORS and area ∆PQR is equal to

Discussion

30.	f(x) = 4x3 − 12x2 + 14x − 3, g(x) 2x − 1
Answer» f(x) = 4x³ − 12x² + 14x − 3, g(x) 2x − 1

Discussion

31.	If x-a is a factor of polynomial x³-mx²-2nax+na², prove that a=m+n, a≠0
Answer» If x-a is a factor of polynomial x³-mx²-2nax+na², prove that a=m+n, a≠0

Discussion

32.	Sides AB and AC and median AD of a triangle ABC are respectively propotional to sides PQ and PR and median PM of another triangle PQR. Show that △ ABC∼△ PQR.
Answer» Sides AB and AC and median AD of a triangle ABC are respectively propotional to sides PQ and PR and median PM of another triangle PQR. Show that △ ABC∼△ PQR.

Discussion

33.	If (5x2+14x+2)2 – (4x2−5x+7)2 is divided by (x2+x+1), then quotient q and remainder r are given by:
Answer» If $({5 x}^{2} + 14 x + 2)^{2}$ – $({4 x}^{2} - 5 x + 7)^{2}$ is divided by $(x^{2} + x + 1)$ , then quotient q and remainder r are given by:

Discussion

34.	. A motorboat covers a distance of 16 km upstream and 24 kmdownstream in 6 hours. In the same time it covers a distance of 12km upstream and 36 km downstream. Find the speed of the boat instill water and that of the stream.
Answer» . A motorboat covers a distance of 16 km upstream and 24 km downstream in 6 hours. In the same time it covers a distance of 12 km upstream and 36 km downstream. Find the speed of the boat in still water and that of the stream.

Discussion

35.	prove that 1 + cos square theta upon sin square theta minus sec square theta equals to zero
Answer» prove that 1 + cos square theta upon sin square theta minus sec square theta equals to zero

Discussion

36.	Last week, it rained on 5 days out of 7 days. The probability that if we pick a random day from the week, it will be a rainy day is
Answer» Last week, it rained on 5 days out of 7 days. The probability that if we pick a random day from the week, it will be a rainy day is

Discussion

37.	The area bounded by a curve, the axis of coordinate and the ordinate of some point of the curve is equal to the length of corresponding arc of the curve. If the curve passes through (0,1) find its equation.
Answer» The area bounded by a curve, the axis of coordinate and the ordinate of some point of the curve is equal to the length of corresponding arc of the curve. If the curve passes through (0,1) find its equation.

Discussion

38.	A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m2 canvas is Rs 70, find the cost of the canvas required to make the tent.
Answer» A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m² canvas is Rs 70, find the cost of the canvas required to make the tent.

Discussion

39.	How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 15 g, find the weight of the empty box in kg.
Answer» How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 15 g, find the weight of the empty box in kg.

Discussion

40.	Question 4Plot the following points and check whether they are collinear or not.(i) (1, 3), (-1, -1), (-2, -3)(ii) (1, 1), (2, -3), (-1, -2)(iii) (0, 0), (2, 2), (5, 5)
Answer» Question 4 Plot the following points and check whether they are collinear or not. (i) (1, 3), (-1, -1), (-2, -3) (ii) (1, 1), (2, -3), (-1, -2) (iii) (0, 0), (2, 2), (5, 5)

Discussion

41.	Prove that a trapezoid is cyclic only if it is isosceles.
Answer» Prove that a trapezoid is cyclic only if it is isosceles.

Discussion

42.	For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.
Answer» For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Discussion

43.	A steel scale measures the length of a copper wire as 80.0 cm when both are at 20∘C (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at 40C? (Given αsteel=11×10−6 per0 C αcopper=17×10−6 per 0C)
Answer» A steel scale measures the length of a copper wire as 80.0 cm when both are at $20^{\circ} C$ (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at 40C? $(G i v e n α_{s t e e l} = 11 \times 10 - 6 p e r^{0} C$ $α_{c o p p e r} = 17 \times 10^{- 6} p e r^{0} C)$

Discussion

44.	A chord of length 8 cm is drawn in a circle of radius 5 cm. Calculate its distance from the centre of the circle.
Answer» A chord of length 8 cm is drawn in a circle of radius 5 cm. Calculate its distance from the centre of the circle.

44.

A chord of length 8 cm is drawn in a circle of radius 5 cm. Calculate its distance from the centre of the circle.

Answer»

A chord of length 8 cm is drawn in a circle of radius 5 cm. Calculate its distance from the centre of the circle.

Discussion

45.	Let Sn denote the sum of the cubes of the first n natural numbers and Sn denote the sum of the first natural numbers. Then ∑r=1n SrSr equals(a) nn+1n+26(b) nn+12(c) n2+3n+22(d) None of these
Answer» Let S_n denote the sum of the cubes of the first n natural numbers and S_n denote the sum of the first natural numbers. Then $\sum_{r = 1}^{n} \frac{S_{r}}{S_{r}}$ equals (a) $\frac{n (n + 1) (n + 2)}{6}$ (b) $\frac{n (n + 1)}{2}$ (c) $\frac{n^{2} + 3 n + 2}{2}$ (d) None of these

Discussion

46.	factorise: 9x^2+6xy+y^{
Answer» factorise: 9x^2+6xy+y^{

Discussion

47.	Question 4How many triangles can be drawn having its angles as 45∘, 64∘ and 72∘? Give the reason for your answer.
Answer» Question 4 How many triangles can be drawn having its angles as $45^{\circ}, 64^{\circ} a n d 72^{\circ}$ ? Give the reason for your answer.

Discussion

48.	In the figure, ∠ADC=130∘ and chord BC = chord BE. Find ∠CBE
Answer» In the figure, $∠ A D C = 130^{\circ}$ and chord BC = chord BE. Find $∠ C B E$

Discussion

49.	The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is (a) 22. cm (b) 12 cm (c) √69 cm (d) 23 cm
Answer» The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is (a) 22. cm (b) 12 cm (c) $\sqrt{6} 9$ cm (d) 23 cm

49.

The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is (a) 22. cm (b) 12 cm (c) √69 cm (d) 23 cm

Answer»

The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is

(a) 22. cm

(b) 12 cm

(c) $\sqrt{6} 9$ cm

(d) 23 cm

Discussion

50.	If each edge of a cube is increased by 50%, then find the percentage increase in its surface area.
Answer» If each edge of a cube is increased by $50 %$ , then find the percentage increase in its surface area.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the remainder when p(x)= x^4-3x^3+2x^2+1 is divided by 2x-1.

Factorize:55x2+20x+35

How to show √5 on number line

Q. Factorise 7x⁴+20=27x²

A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.

In a triangle, P, Q and R are the mid-points of sides BC, CA and AB respectively. If AC = 21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ.

If A1A=B1B=C1C and ABC+BCA+CAB=729, then the value of B1B is

The marks obtained by 40 students in class X of a certain school in a math paper of 100 marks total are presented in the table. Find the mean using direct method.Class Interval0−1010−2020−3030−4040−50Number of students341315528.75

Represent 1.787878787878... in pq form.

An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal. Each of these angles is equal to(a) 75°(b) 80°(c) 40°(d) 50°

Solve the following system of linear equations by using the method of elimination by equating the coefficients√3x−√2y=√3;√5x+√3y=√2

Evaluate each of the following using identities:(i) (399)2(ii) (0.98)2(iii) 991 ☓ 1009(iv) 117 ☓ 83

If 'l', 'b', and 'h' are the length, breadth, and height of the rectangular box respectively, then the product of the areas of all the faces of the box is equal to

Let C be the mid-point of an arc AB of a circle such that m⌢AB=183o. If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies

√6−√5√6+√5 = ________.

Find the sum of the squares of the following:√3√2+1,√3√2−1,√2√3

Question 52 If p and q are in inverse propotion, i.e. pq = k (constant), then (p + 2) and (q - 2) are also in inverse proportion.

ABCD is a cyclic quadrilateral. If ∠BCD=100∘ and ∠ABD=70∘, then find ∠ADB.

The daily minimum temperature recorded (in ^\circ F) at a place during six days of a week was as under: MondayWednesdayThursdayFridaySaturday35.530.827.332.123.829.9Find the mean temperature.

A big contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is 25, find the number of red balls in the bag.

x indicates the number of rounds and y indicates the total charges. The charges for the two types of bicycles are given below. Find the total charges (in $) if both centers charge the same amount.120

The area of the parallelogram shown in the figure is___

Construct an equilateral triangle, given its side and justify the construction

The equilateral triangle has lines of symmetry.

If the perimeter of triangle ABC is 14 cm such that AB = AC and BC = 6 cm, then find the length of AB.

In the given figure, PQRT is a square with each side of length 16 cm. If 2OR = TS, then ratio of area of TORS and area ∆PQR is equal to

f(x) = 4x3 − 12x2 + 14x − 3, g(x) 2x − 1

If x-a is a factor of polynomial x³-mx²-2nax+na², prove that a=m+n, a≠0

Sides AB and AC and median AD of a triangle ABC are respectively propotional to sides PQ and PR and median PM of another triangle PQR. Show that △ ABC∼△ PQR.

If (5x2+14x+2)2 – (4x2−5x+7)2 is divided by (x2+x+1), then quotient q and remainder r are given by:

. A motorboat covers a distance of 16 km upstream and 24 kmdownstream in 6 hours. In the same time it covers a distance of 12km upstream and 36 km downstream. Find the speed of the boat instill water and that of the stream.

prove that 1 + cos square theta upon sin square theta minus sec square theta equals to zero

Last week, it rained on 5 days out of 7 days. The probability that if we pick a random day from the week, it will be a rainy day is

The area bounded by a curve, the axis of coordinate and the ordinate of some point of the curve is equal to the length of corresponding arc of the curve. If the curve passes through (0,1) find its equation.

A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m2 canvas is Rs 70, find the cost of the canvas required to make the tent.

How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 15 g, find the weight of the empty box in kg.

Question 4Plot the following points and check whether they are collinear or not.(i) (1, 3), (-1, -1), (-2, -3)(ii) (1, 1), (2, -3), (-1, -2)(iii) (0, 0), (2, 2), (5, 5)

Prove that a trapezoid is cyclic only if it is isosceles.

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

A steel scale measures the length of a copper wire as 80.0 cm when both are at 20∘C (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at 40C? (Given αsteel=11×10−6 per0 C αcopper=17×10−6 per 0C)

A chord of length 8 cm is drawn in a circle of radius 5 cm. Calculate its distance from the centre of the circle.

Let Sn denote the sum of the cubes of the first n natural numbers and Sn denote the sum of the first natural numbers. Then ∑r=1n SrSr equals(a) nn+1n+26(b) nn+12(c) n2+3n+22(d) None of these

factorise: 9x^2+6xy+y^{

Question 4How many triangles can be drawn having its angles as 45∘, 64∘ and 72∘? Give the reason for your answer.

In the figure, ∠ADC=130∘ and chord BC = chord BE. Find ∠CBE

The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is (a) 22. cm (b) 12 cm (c) √69 cm (d) 23 cm

If each edge of a cube is increased by 50%, then find the percentage increase in its surface area.