24740 + Interview Questions in Mathematics Page 64 InterviewSolution

3151.	In the given figure, O is the centre of a circle and ∠BOD=150∘. Find the values of x and y.
Answer» In the given figure, O is the centre of a circle and $∠ B O D = 150^{\circ}$ . Find the values of x and y.

3151.

In the given figure, O is the centre of a circle and ∠BOD=150∘. Find the values of x and y.

Answer»

In the given figure, O is the centre of a circle and $∠ B O D = 150^{\circ}$ . Find the values of x and y.

3152.	What is the expansion for the identity (a–b)2?
Answer» What is the expansion for the identity ${(a - b)}^{2}$ ?

Discussion

3153.	The quadrilateral formed by joining the mid points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if diagonals of PQRS are ________.
Answer» The quadrilateral formed by joining the mid points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if diagonals of PQRS are ________.

Discussion

3154.

From the following information, calculate Total Sales made during the period: ₹ Debtors as on 1st April, 2017 20,400 Cash received from debtors during the year (as per Cash Book) 60,800 Returns Inward 5,400 Bad Debts 2,400 Debtors as on 31st March, 2018 27,600 Cash Sales (as per Cash Book) 56,800

Answer» From the following information, calculate Total Sales made during the period:

	₹
Debtors as on 1st April, 2017	20,400
Cash received from debtors during the year (as per Cash Book)	60,800
Returns Inward	5,400
Bad Debts	2,400
Debtors as on 31st March, 2018	27,600
Cash Sales (as per Cash Book)	56,800

Discussion

3155.	Question 85 (i)Expand the following, using suitable identities.(xy+yz)2
Answer» Question 85 (i) Expand the following, using suitable identities. $(x y + y z)^{2}$

3155.

Question 85 (i)Expand the following, using suitable identities.(xy+yz)2

Answer»

Question 85 (i)

Expand the following, using suitable identities.

$(x y + y z)^{2}$

Discussion

3156.	A solid is in the form of the cone mounted on the hemisphere is such a way that the center of the base of the cone just coincide with the center of the base of the hemisphere .Slant height of the cone is L and radius of the base of the cone is 1/2 r ,where r is the radius of the hemisphere .Prove that the total surface area of the solid is pi / 4 11r + 2l r square units.
Answer» A solid is in the form of the cone mounted on the hemisphere is such a way that the center of the base of the cone just coincide with the center of the base of the hemisphere .Slant height of the cone is L and radius of the base of the cone is 1/2 r ,where r is the radius of the hemisphere .Prove that the total surface area of the solid is pi / 4 11r + 2l r square units.

Discussion

3157.	Write the following sets in roster form:(i) A{x:x is an integer and −3<x<7}(ii) B={x:x is a natural number less than 6}(iii) C={x:x is a two-digit natural such that the sum of its digits is 8}(iv) D={x:x is a prime number which is divisor of 60}(v) E= The set of all letters in the word TRIGONOMETRY.(vi) F= The set of all letters in the word BETTER.
Answer» Write the following sets in roster form: (i) $A {x : x is an integer and - 3 < x < 7}$ (ii) $B = {x : x is a natural number less than 6}$ (iii) $C = {x : x is a two-digit natural such that the sum of its digits is 8}$ (iv) $D = {x : x is a prime number which is divisor of 60}$ (v) $E =$ The set of all letters in the word TRIGONOMETRY. (vi) $F =$ The set of all letters in the word BETTER.

Discussion

3158.	Are the directions of x,y and z axes fixed? If yes then what does it look like?
Answer» Are the directions of x,y and z axes fixed? If yes then what does it look like?

Discussion

3159.	Question 8(ii) Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 Litres of water.Vidya consumed of the water. Pratap consumed the remaining water. (ii) What fraction of the total quantity of water did Pratap drink?
Answer» Question 8(ii) Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 Litres of water.Vidya consumed of the water. Pratap consumed the remaining water. (ii) What fraction of the total quantity of water did Pratap drink?

Discussion

3160.	Question 8 D, E and F are the mid – points of the sides BC, CA and AB, respectively of an equilateral ΔABC, show that ΔDEF is also an equilateral triangle.
Answer» Question 8 D, E and F are the mid – points of the sides BC, CA and AB, respectively of an equilateral $Δ A B C$ , show that $Δ D E F$ is also an equilateral triangle.

Discussion

3161.	if x>0 and y
Answer» if x>0 and y<0 then the point (x,-y) lies in which quadrant ?

Discussion

3162.	In the given figure, AP \|\| BQ \|\| CR. Prove that ar (AQC) = ar (PBR).
Answer» In the given figure, AP \|\| BQ \|\| CR. Prove that ar (AQC) = ar (PBR).

Discussion

3163.	In a cyclic quadrilateral ABCD, if (∠B−∠D)=60∘, show that the smaller of the two is 60∘.
Answer» In a cyclic quadrilateral ABCD, if $(∠ B - ∠ D) = 60^{\circ}$ , show that the smaller of the two is $60^{\circ}$ .

Discussion

3164.	OABC is a rhombus. Find m∠AOC
Answer» OABC is a rhombus. Find $m ∠ A O C$

Discussion

3165.	In a football match, Ronaldo makes 4 goals from 10 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo, is
Answer» In a football match, Ronaldo makes 4 goals from 10 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo, is

Discussion

3166.	50. Solve (x/a)+(y/b)=(1/2) and (x/a)+(y/b)=(1/2) By substitution method, find x and y.
Answer» 50. Solve (x/a)+(y/b)=(1/2) and (x/a)+(y/b)=(1/2) By substitution method, find x and y.

Discussion

3167.	Factorise:13x2-2x-9
Answer» Factorise: $\frac{1}{3} x^{2} - 2 x - 9$

Discussion

3168.	Coordinates of point J shown below is ___
Answer» Coordinates of point J shown below is ___

3168.

Coordinates of point J shown below is ___

Answer»

Coordinates of point J shown below is ___

Discussion

3169.	ABCD is a parallelogram and EFCD is a rectangle. AL ⊥ DC, then ar(ABCD) is equal to
Answer» ABCD is a parallelogram and EFCD is a rectangle. AL ⊥ DC, then ar(ABCD) is equal to

3169.

ABCD is a parallelogram and EFCD is a rectangle. AL ⊥ DC, then ar(ABCD) is equal to

Answer»

ABCD is a parallelogram and EFCD is a rectangle. AL ⊥ DC, then ar(ABCD) is equal to

Discussion

3170.	If Sachin scores 100 runs and Dravid scores 50 runs, then what percent of Dravid’s runs did Sachin score?
Answer» If Sachin scores 100 runs and Dravid scores 50 runs, then what percent of Dravid’s runs did Sachin score?

Discussion

3171.	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

3172.	In a right angled triangle, if the length of sides are 3 cm and 4 cm, then the length of hypotenuse is
Answer» In a right angled triangle, if the length of sides are 3 cm and 4 cm, then the length of hypotenuse is

Discussion

3173.	The angles P, Q, R and S of a trapezium PQRS are in the ratio 1:3:7:9. Match the angle to its correct value.
Answer» The angles P, Q, R and S of a trapezium PQRS are in the ratio 1:3:7:9. Match the angle to its correct value.

Discussion

3174.	Expand: (x+1x)2
Answer» $Expand: (x + \frac{1}{x})^{2}$

Discussion

3175.	The angle between the lines whose direction cosines are given by the equations 3l+m+5n= 0, 6mn-2nl+5lm 0,is
Answer» The angle between the lines whose direction cosines are given by the equations 3l+m+5n= 0, 6mn-2nl+5lm 0,is

Discussion

3176.	PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following cases, PQRS is a parallelogram?(a) ∠P = 100°, ∠Q = 80°, ∠R = 95°(b) ∠P =85°, ∠Q = 85°, ∠R = 95°(c) PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm(d) OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm
Answer» PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following cases, PQRS is a parallelogram? (a) ∠P = 100°, ∠Q = 80°, ∠R = 95° (b) ∠P =85°, ∠Q = 85°, ∠R = 95° (c) PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm (d) OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm

Discussion

3177.	Question 7If 2x + y = 23 and 4x – y = 19, then find the values of 5y – 2x and yx- 2.
Answer» Question 7 If 2x + y = 23 and 4x – y = 19, then find the values of 5y – 2x and $\frac{y}{x}$ - 2.

Discussion

3178.	Solve using cross multiplication method 2x + 3y = 17 and 3x - 2y = 6
Answer» Solve using cross multiplication method 2x + 3y = 17 and 3x - 2y = 6

3178.

Solve using cross multiplication method 2x + 3y = 17 and 3x - 2y = 6

Answer»

Solve using cross multiplication method

2x + 3y = 17 and 3x - 2y = 6

Discussion

3179.	What is the remainder when the polynomial {p(x)=x^{200-2x^{199+x^{50-2x^2+x^2+x+1 is { divided by (x-1)(x-2)?
Answer» What is the remainder when the polynomial {p(x)=x^{200-2x^{199+x^{50-2x^2+x^2+x+1 is { divided by (x-1)(x-2)?

Discussion

3180.	It can be inferred from the passage that the author would be most likely to agree with which one of the following characterizations of scientific truth?
Answer» It can be inferred from the passage that the author would be most likely to agree with which one of the following characterizations of scientific truth?

Discussion

3181.	Note Use π=227, unless stated otherwise.A conical pit of diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?HINT 1 m3 = 1 kilolitre.
Answer» Note Use $π = \frac{22}{7}$ , unless stated otherwise. A conical pit of diameter 3.5 m is 12 m deep. What is its capacity in kilolitres? HINT 1 m³ = 1 kilolitre.

Discussion

3182.	In the trapezium ABCD shown below, if ∠ADC=120∘, then find the measure (in degrees) of ∠DCB. 60
Answer» In the trapezium ABCD shown below, if $∠ A D C = 120^{\circ}$ , then find the measure (in degrees) of $∠ D C B$ . 60

Discussion

3183.	In the given fig, PQ is tangent at a point R of the circle with centre O. If ∠TRQ=30∘, find ∠PRS.
Answer» In the given fig, PQ is tangent at a point R of the circle with centre O. If $∠ T R Q = 30^{\circ}$ , find $∠ P R S .$

3183.

In the given fig, PQ is tangent at a point R of the circle with centre O. If ∠TRQ=30∘, find ∠PRS.

Answer»

In the given fig, PQ is tangent at a point R of the circle with centre O. If $∠ T R Q = 30^{\circ}$ , find $∠ P R S .$

Discussion

3184.	Two friends Tinku and Chintu are on the balcony of a building at 7th floor and 9th floor, which is at a distance of 60 m and 80 m from the ground respectively. Tinku throws a ball upwards at a velocity such that it just reaches Chintu. Chintu then drops the ball to the ground. Calculate the total time taken in seconds. (Take a = 10 m/s2)
Answer» Two friends Tinku and Chintu are on the balcony of a building at $7^{t h}$ floor and $9^{t h}$ floor, which is at a distance of 60 m and 80 m from the ground respectively. Tinku throws a ball upwards at a velocity such that it just reaches Chintu. Chintu then drops the ball to the ground. Calculate the total time taken in seconds. (Take a = 10 $m / s^{2}$ )

Discussion

3185.	The value of 1log2 30+1log3 30+1log5 30 is
Answer» The value of $\frac{1}{l o g_{2} 30} + \frac{1}{l o g_{3} 30} + \frac{1}{l o g_{5} 30}$ is

Discussion

3186.	Find:cos 75∘sin 15∘+sin 12∘cos 78∘−cos 18∘sin 72∘
Answer» Find: $\frac{cos 75^{\circ}}{sin 15^{\circ}} + \frac{sin 12^{\circ}}{cos 78^{\circ}} - \frac{cos 18^{\circ}}{sin 72^{\circ}}$

Discussion

3187.	Prove that (4, – 1), (6, 0), (7, 2) and (5, 1) are the vertices of a rhombus. Is it a square? [3 MARKS]
Answer» Prove that (4, – 1), (6, 0), (7, 2) and (5, 1) are the vertices of a rhombus. Is it a square? [3 MARKS]

Discussion

3188.

From the following Receipts and Payments Account of Jaipur Sports Club , prepare Income and Expenditure Account for the year ended 31st March, 2018: RECEIPTS AND PAYMENTS Account for the year ended March 31, 2018 Dr. Cr. Receipts ₹ Payments ₹ To Balance b/d 2,00,000 By Rent 60,000 To Entrance Fees: (including ₹15,000 for 2016-17) 2016-17 10,000 By Insurance Premium 60,000 2017-18 50,000 60,000 (including ₹15,000 for 2018-19) To Subscriptions: By Sports Equipments 50,000 2016-17 10,000 By Furniture 60,000 2017-18(90%) 90,000 (Purchased on 31st March,2018) 2018-19 5,000 1,05,000 By 8% Fixed Deposit 1,20,000 To Life Membership Fees 20,000 (made on 1st October, 2017) To Donations 1,20,000 By Tournament Expenses 10,000 To Donation for Tournament 50,000 By Books 20,000 To Subscription for Governor's Party 15,000 By Newspapers 1,000 To Interest on 8% Fixed Deposit 2,400 By Printing and Stationery 19,000 To Sale of Old Newspapers 300 By Balance c/d 1,80,000 To Sale of Old Sports Materials 500 (Book Value ₹ 1,200) To Locker Rent 6,800 (including ₹ 600 for 2016-17) 5,80,000 5,80,000

Answer» From the following Receipts and Payments Account of Jaipur Sports Club , prepare Income and Expenditure Account for the year ended 31st March, 2018:

RECEIPTS AND PAYMENTS Account for the year ended March 31, 2018
Dr.					Cr.
Receipts		₹	Payments	₹
To Balance b/d		2,00,000	By Rent	60,000
To Entrance Fees:			(including ₹15,000 for 2016-17)
2016-17	10,000		By Insurance Premium	60,000
2017-18	50,000	60,000	(including ₹15,000 for 2018-19)
To Subscriptions:			By Sports Equipments	50,000
2016-17	10,000		By Furniture	60,000
2017-18(90%)	90,000		(Purchased on 31st March,2018)
2018-19	5,000	1,05,000	By 8% Fixed Deposit	1,20,000
To Life Membership Fees		20,000	(made on 1st October, 2017)
To Donations		1,20,000	By Tournament Expenses	10,000
To Donation for Tournament		50,000	By Books	20,000
To Subscription for Governor's Party		15,000	By Newspapers	1,000
To Interest on 8% Fixed Deposit		2,400	By Printing and Stationery	19,000
To Sale of Old Newspapers		300	By Balance c/d	1,80,000
To Sale of Old Sports Materials		500
(Book Value ₹ 1,200)
To Locker Rent		6,800
(including ₹ 600 for 2016-17)

		5,80,000		5,80,000

Discussion

3189.	Fill in the BlanksQuestion 19For the point (5,2), the distance from the X-axis is ___ units.
Answer» Fill in the Blanks Question 19 For the point (5,2), the distance from the X-axis is ___ units.

Discussion

3190.	x2+5x−24 can be factorized as .
Answer» $x^{2} + 5 x - 24$ can be factorized as .

Discussion

3191.	A circle has radius √2 cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in the major segment is 45∘.
Answer» A circle has radius $\sqrt{2}$ cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in the major segment is $45^{\circ}$ .

Discussion

3192.	In the given figure, ABCD is a trapezium in which AB \|\| DC. Prove thatar(Δ AOD) = ar(Δ BOC).
Answer» In the given figure, ABCD is a trapezium in which AB \|\| DC. Prove that ar(Δ AOD) = ar(Δ BOC).

Discussion

3193.

Mr. White does not keep his books properly. Following information is available from his books. 1-4-2015 31-3-2016 ₹ ₹ Sundry Creditors 45,000 93,000 Loan from wife 66,000 57,000 S. Debtors 22,500 – Land & Building 89,600 90,000 Cash in hand 7,500 8,700 Bank overdraft 25,000 – Furniture 1,300 1,300 Stock 34,000 25,000 During the year Mr. White sold his private car for ₹ 50,000 and invested this amount into the business. He withdrew from the business ₹ 1,500 per month upto 31st October, 2015 and thereafter ₹ 4,500 per month as drawings. You are required to prepare a statement of profit or loss and a statement of affairs as at March 31, 2016.

Answer» Mr. White does not keep his books properly. Following information is available from his books.

	1-4-2015	31-3-2016
	₹	₹
Sundry Creditors	45,000	93,000
Loan from wife	66,000	57,000
S. Debtors	22,500	–
Land & Building	89,600	90,000
Cash in hand	7,500	8,700
Bank overdraft	25,000	–
Furniture	1,300	1,300
Stock	34,000	25,000

During the year Mr. White sold his private car for ₹ 50,000 and invested this amount into the business. He withdrew from the business ₹ 1,500 per month upto 31st October, 2015 and thereafter ₹ 4,500 per month as drawings. You are required to prepare a statement of profit or loss and a statement of affairs as at March 31, 2016.

Discussion

3194.	How to construct root 9 on the number line.
Answer» How to construct root 9 on the number line.

Discussion

3195.	Write three rational numbers that lie between the two given numbers.(i) 27, 67 (ii) 45, 23(iii) -23, 45(iv) 79, -59 (v) -34, +54(vi) 78, -53(vii) 57, 117(viii) 0, -34
Answer» Write three rational numbers that lie between the two given numbers. (i) $\frac{2}{7}, \frac{6}{7}$ (ii) $\frac{4}{5}, \frac{2}{3}$ (iii) $- \frac{2}{3}, \frac{4}{5}$ (iv) $\frac{7}{9}, - \frac{5}{9}$ (v) $\frac{- 3}{4}, \frac{+ 5}{4}$ (vi) $\frac{7}{8}, \frac{- 5}{3}$ (vii) $\frac{5}{7}, \frac{11}{7}$ (viii) $0, \frac{- 3}{4}$

Discussion

3196.	The longest chord of a circle is called a ___ of the circle.
Answer» The longest chord of a circle is called a ___ of the circle.

Discussion

3197.	If ΔABC is a triangle such that AB = BC and ∠B=120∘, then what are the other pair of angles?
Answer» If $Δ A B C$ is a triangle such that AB = BC and $∠ B = 120^{\circ}$ , then what are the other pair of angles?

Discussion

3198.	During the annual function of a school, a Women’s Self-helf Group had set up a snacks stall. Their sales every hour were worth Rs 960, Rs 830, Rs 945, Rs 800, Rs 847, Rs 970 respectively. What was the average of the hourly sales?
Answer» During the annual function of a school, a Women’s Self-helf Group had set up a snacks stall. Their sales every hour were worth Rs 960, Rs 830, Rs 945, Rs 800, Rs 847, Rs 970 respectively. What was the average of the hourly sales?

Discussion

3199.

ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7. Find the sum of ∠ABD and ∠ADB.

Answer»

ABCD is a parallelogram in which $∠ D C B$ and $∠ A B C$ are in ratio 2:7. Find the sum of $∠ A B D$ and $∠ A D B$ .

Discussion

3200.	If cotA=125, then find the value of (sinA+cosA)×cosec A.
Answer» If $cot A = \frac{12}{5}$ , then find the value of $(sin A + cos A) \times c o s e c A$ .

Discussion

Explore topic-wise InterviewSolutions in .

In the given figure, O is the centre of a circle and ∠BOD=150∘. Find the values of x and y.

What is the expansion for the identity (a–b)2?

The quadrilateral formed by joining the mid points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if diagonals of PQRS are ________.

From the following information, calculate Total Sales made during the period: ₹ Debtors as on 1st April, 2017 20,400 Cash received from debtors during the year (as per Cash Book) 60,800 Returns Inward 5,400 Bad Debts 2,400 Debtors as on 31st March, 2018 27,600 Cash Sales (as per Cash Book) 56,800

Question 85 (i)Expand the following, using suitable identities.(xy+yz)2

Are the directions of x,y and z axes fixed? If yes then what does it look like?

Question 8(ii) Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 Litres of water.Vidya consumed of the water. Pratap consumed the remaining water. (ii) What fraction of the total quantity of water did Pratap drink?

Question 8 D, E and F are the mid – points of the sides BC, CA and AB, respectively of an equilateral ΔABC, show that ΔDEF is also an equilateral triangle.

if x>0 and y

In the given figure, AP || BQ || CR. Prove that ar (AQC) = ar (PBR).

In a cyclic quadrilateral ABCD, if (∠B−∠D)=60∘, show that the smaller of the two is 60∘.

OABC is a rhombus. Find m∠AOC

In a football match, Ronaldo makes 4 goals from 10 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo, is

50. Solve (x/a)+(y/b)=(1/2) and (x/a)+(y/b)=(1/2) By substitution method, find x and y.

Factorise:13x2-2x-9

Coordinates of point J shown below is ___ ​​

ABCD is a parallelogram and EFCD is a rectangle. AL ⊥ DC, then ar(ABCD) is equal to

If Sachin scores 100 runs and Dravid scores 50 runs, then what percent of Dravid’s runs did Sachin score?

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

In a right angled triangle, if the length of sides are 3 cm and 4 cm, then the length of hypotenuse is

The angles P, Q, R and S of a trapezium PQRS are in the ratio 1:3:7:9. Match the angle to its correct value.

Expand: (x+1x)2

The angle between the lines whose direction cosines are given by the equations 3l+m+5n= 0, 6mn-2nl+5lm 0,is

Question 7If 2x + y = 23 and 4x – y = 19, then find the values of 5y – 2x and yx- 2.

Solve using cross multiplication method 2x + 3y = 17 and 3x - 2y = 6

What is the remainder when the polynomial {p(x)=x^{200-2x^{199+x^{50-2x^2+x^2+x+1 is { divided by (x-1)(x-2)?

It can be inferred from the passage that the author would be most likely to agree with which one of the following characterizations of scientific truth?

Note Use π=227, unless stated otherwise.A conical pit of diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?HINT 1 m3 = 1 kilolitre.

In the trapezium ABCD shown below, if ∠ADC=120∘, then find the measure (in degrees) of ∠DCB. 60

In the given fig, PQ is tangent at a point R of the circle with centre O. If ∠TRQ=30∘, find ∠PRS.

The value of 1log2 30+1log3 30+1log5 30 is

Find:cos 75∘sin 15∘+sin 12∘cos 78∘−cos 18∘sin 72∘

Prove that (4, – 1), (6, 0), (7, 2) and (5, 1) are the vertices of a rhombus. Is it a square? [3 MARKS]

Fill in the BlanksQuestion 19For the point (5,2), the distance from the X-axis is ___ units.

x2+5x−24 can be factorized as .

A circle has radius √2 cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in the major segment is 45∘.

In the given figure, ABCD is a trapezium in which AB || DC. Prove thatar(Δ AOD) = ar(Δ BOC).

How to construct root 9 on the number line.

Write three rational numbers that lie between the two given numbers.(i) 27, 67 (ii) 45, 23(iii) -23, 45(iv) 79, -59 (v) -34, +54(vi) 78, -53(vii) 57, 117(viii) 0, -34

The longest chord of a circle is called a ___ of the circle.

If ΔABC is a triangle such that AB = BC and ∠B=120∘, then what are the other pair of angles?

During the annual function of a school, a Women’s Self-helf Group had set up a snacks stall. Their sales every hour were worth Rs 960, Rs 830, Rs 945, Rs 800, Rs 847, Rs 970 respectively. What was the average of the hourly sales?

ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7. Find the sum of ∠ABD and ∠ADB.

If cotA=125, then find the value of (sinA+cosA)×cosec A.

Coordinates of point J shown below is ___