19743 + Interview Questions in Mathematics Page 158 InterviewSolution

7851.	Question 1In ΔABC and ΔPQR, ∠A=∠Q and ∠B=∠R. which side of a ΔPQR should be equal to side AB of ΔABC, so that the two triangles are congruent? Give reason for your answer.
Answer» Question 1 In $Δ A B C$ and $Δ P Q R$ , $∠ A = ∠ Q$ and $∠ B = ∠ R$ . which side of a $Δ P Q R$ should be equal to side AB of $Δ A B C$ , so that the two triangles are congruent? Give reason for your answer.

Discussion

7852.	Construct the triangle MNO, NO = 4.8 cm, and measure the two sides of the triangle.
Answer» Construct the triangle MNO, NO = 4.8 cm, and measure the two sides of the triangle.

Discussion

7853.	The number of all 3-digit numbers abc (in base10) for which (a×b×c)+(a×b)+(b×c)+(c×a)+a+b+c=29 is
Answer» The number of all 3-digit numbers abc (in base10) for which $(a \times b \times c) + (a \times b) + (b \times c) + (c \times a) + a + b + c = 29$ is

Discussion

7854.	A snail covers a distance of 100 meters in 50 hours. Calculate the average speed of snail in km/h.
Answer» A snail covers a distance of $100 m e t e r s$ in $50 h o u r s$ . Calculate the average speed of snail in $k m / h$ .

Discussion

7855.	ΔABC is right angled at A. AB = 60 units, AC = 80 units and BC = 100 units. D is a point between B and C such that ΔADB and ΔADC have equal perimeters. What is the length of BD? 60
Answer» $Δ A B C$ is right angled at A. AB = 60 units, AC = 80 units and BC = 100 units. D is a point between B and C such that $Δ A D B$ and $Δ A D C$ have equal perimeters. What is the length of BD? 60

Discussion

7856.

From the following records kept on single entry basis, prepare final accounts assuming that ratio of gross profit to sales is 25%: 1-1-2007 ₹ 31-12-2007 ₹ Cash at Bank 1,400 1,800 Debtors ? 2,400 Stock ? 1,700 Fixed Assets 10,000 10,000 Creditors 1,600 ? Loan 1,000 800 Transactions during the year 2007: ₹ Collections from debtors 9,300 Cash Sales 1,000 Credit Sales 9,000 Payment to Creditors 6,100 Cash Purchases 1,600 Credit Purchase 6,400 Drawings 1,000 Business Expenses 1,000 Discount Received 200 Discount Allowed 100

Answer» From the following records kept on single entry basis, prepare final accounts assuming that ratio of gross profit to sales is 25%:

	1-1-2007 ₹	31-12-2007 ₹
Cash at Bank	1,400	1,800
Debtors	?	2,400
Stock	?	1,700
Fixed Assets	10,000	10,000
Creditors	1,600	?
Loan	1,000	800

Transactions during the year 2007:

	₹
Collections from debtors	9,300
Cash Sales	1,000
Credit Sales	9,000
Payment to Creditors	6,100
Cash Purchases	1,600
Credit Purchase	6,400
Drawings	1,000
Business Expenses	1,000
Discount Received	200
Discount Allowed	100

Discussion

7857.	Two poles of heights 8 m and 15 m stand vertically on a plane ground. If the distance between their feet is 24 m, then find the distance between their top ends.
Answer» Two poles of heights 8 m and 15 m stand vertically on a plane ground. If the distance between their feet is 24 m, then find the distance between their top ends.

Discussion

7858.	What is the mean of the numbers 5,6 and 7
Answer» What is the mean of the numbers 5,6 and 7

Discussion

7859.	Question 84 State whether the statement is True or False. (−20)×(5−3)=(−20)×(−2)
Answer» Question 84 State whether the statement is True or False. $(- 20) \times (5 - 3) = (- 20) \times (- 2)$

7859.

Question 84 State whether the statement is True or False. (−20)×(5−3)=(−20)×(−2)

Answer»

Question 84

State whether the statement is True or False.

$(- 20) \times (5 - 3) = (- 20) \times (- 2)$

Discussion

7860.	A disc with segments in rainbow colors is called
Answer» A disc with segments in rainbow colors is called

Discussion

7861.	The following is the shadow of a 3-D object. Which of these objects does the shadow belong to?
Answer» The following is the shadow of a 3-D object. Which of these objects does the shadow belong to?

Discussion

7862.	34. If 6a + b2 =97,where a and b are the digits, then the values of a and b respectively are : 1) 5 and 3 2) 3 and 5 3) 2 and 3 4) 5 and 4
Answer» 34. If 6a + b2 =97,where a and b are the digits, then the values of a and b respectively are : 1) 5 and 3 2) 3 and 5 3) 2 and 3 4) 5 and 4

7862.

34. If 6a + b2 =97,where a and b are the digits, then the values of a and b respectively are : 1) 5 and 3 2) 3 and 5 3) 2 and 3 4) 5 and 4

Answer»

34. If 6a + b2 =97,where a and b are the digits, then the values of a and b respectively are :

1) 5 and 3

2) 3 and 5

3) 2 and 3

4) 5 and 4

Discussion

7863.	When a coin is tossed thrice, what is the probability of getting two heads and one tail ?
Answer» When a coin is tossed thrice, what is the probability of getting two heads and one tail ?

Discussion

7864.	Mention the name of a Mathematician who showed the method of representing sets through diagrams.
Answer» Mention the name of a Mathematician who showed the method of representing sets through diagrams.

Discussion

7865.	In fig., AD is the bisector of ∠BAC. If AB =10 cm. AC =14 cm and BC = 6 cm, find BD and DC.
Answer» In fig., AD is the bisector of $∠$ BAC. If AB =10 cm. AC =14 cm and BC = 6 cm, find BD and DC.

7865.

In fig., AD is the bisector of ∠BAC. If AB =10 cm. AC =14 cm and BC = 6 cm, find BD and DC.

Answer»

In fig., AD is the bisector of $∠$ BAC. If AB =10 cm. AC =14 cm and BC = 6 cm, find BD and DC.

Discussion

7866.	Question 4(c) Find the product using suitable properties: 258×1008
Answer» Question 4(c) Find the product using suitable properties: $258 \times 1008$

7866.

Question 4(c) Find the product using suitable properties: 258×1008

Answer»

Question 4(c)

Find the product using suitable properties:

$258 \times 1008$

Discussion

7867.	More than One Answer Typeएक से अधिक उत्तर प्रकार के प्रश्नAn iron rod rests against a vertical wall at an inclination 60° to the horizontal. Its foot is pulled away from the wall through a distance ‘x’ so that its end slides a distance ‘y’ down the wall and then the iron rod makes an angle 30° to the horizontal. Then, which of the following option(s) is/are true?एक लोहे की छड़ उर्ध्वाधर दीवार के सहारे क्षैतिज से 60° कोण पर झुकी हुयी है। इसके आधार को दीवार से ‘x’ दूरी से खींचा जाता है ताकि इसका ऊपरी सिरा दीवार से ‘y’ दूरी नीचे खिसक जाये और तब लोहे की छड़ क्षैतिज के साथ 30° कोण निर्मित करती है। तब निम्न में से कौनसा/कौनसे विकल्प सही है/हैं?
Answer» More than One Answer Type एक से अधिक उत्तर प्रकार के प्रश्न An iron rod rests against a vertical wall at an inclination 60° to the horizontal. Its foot is pulled away from the wall through a distance ‘x’ so that its end slides a distance ‘y’ down the wall and then the iron rod makes an angle 30° to the horizontal. Then, which of the following option(s) is/are true? एक लोहे की छड़ उर्ध्वाधर दीवार के सहारे क्षैतिज से 60° कोण पर झुकी हुयी है। इसके आधार को दीवार से ‘x’ दूरी से खींचा जाता है ताकि इसका ऊपरी सिरा दीवार से ‘y’ दूरी नीचे खिसक जाये और तब लोहे की छड़ क्षैतिज के साथ 30° कोण निर्मित करती है। तब निम्न में से कौनसा/कौनसे विकल्प सही है/हैं?

Discussion

7868.

Draw a bar graph for the data givenPeriodicals No. of copies sold in a town (a) Sudha 500 (b) Taranga 400 (c) Karma Veera 200 (d) Weekly Magazine 300

Answer»

Draw a bar graph for the data given

Periodicals		No. of copies sold in a town
(a)	Sudha		500
(b)	Taranga		400
(c)	Karma Veera		200
(d)	Weekly Magazine		300

Discussion

7869.	Problem 17. Ifa small piece of radius b is removed from a charged spherical shell of radius a (>>b), calculate electric intensity at the mid-point of the aperture, assuming if the density ofcharge to b sigma .
Answer» Problem 17. Ifa small piece of radius b is removed from a charged spherical shell of radius a (>>b), calculate electric intensity at the mid-point of the aperture, assuming if the density ofcharge to b sigma .

Discussion

7870.	In the adjoining figure, find the value of 'a'.
Answer» In the adjoining figure, find the value of 'a'.

7870.

In the adjoining figure, find the value of 'a'.

Answer»

In the adjoining figure, find the value of 'a'.

Discussion

7871.	An angle of measure 30∘ and twice of another angle x are supplementary angles. Find the value of x (in degrees).75
Answer» An angle of measure $30^{\circ}$ and twice of another angle x are supplementary angles. Find the value of x (in degrees). 75

Discussion

7872.

From the following Trial Balance extracted from the books of Mr. Karuna Sagar, prepare a Trading and Profit & Loss A/c for the year ended 31st March, 2019 and a Balance Sheet as at that date: Dr. Balances (₹) Cr. Balances (₹) Purchases 3,30,000 Sales 5,30,000 Rent Paid 7,480 Returns 8,000 Wages 33,000 Trade Creditors 37,000 Salaries 30,800 Discount 3,000 Power 5,400 Capital 2,00,000 Stock on 1-4-2018 15,000 Miscellaneous Income 3,060 Stock on 31-3-2019 36,000 Charity 500 Debtors 53,000 Furniture 8,000 Motor Car 2,00,000 Motor Car Expenses 18,000 Insurance 3,600 Unexpired Insurance 600 Drawings 5,000 Cash Balance 34,680 7,81,060 7,81,060 Informations:- (i) Goods Costing ₹ 2,000 were taken away by the proprietor for his personal use and goods costing ₹ 1,500 were given away as charity.(ii) Expenses for wages, rent and salaries are uniform throughout the year and those for March have not been paid.(iii) Provide 10% depreciation on Furniture and 20% on Motor Car.(iv) Provide for Manager's Commission at 10% on Net Profit after charging such Commission.

Answer» From the following Trial Balance extracted from the books of Mr. Karuna Sagar, prepare a Trading and Profit & Loss A/c for the year ended 31st March, 2019 and a Balance Sheet as at that date:

Dr. Balances	(₹)	Cr. Balances	(₹)
Purchases	3,30,000	Sales	5,30,000
Rent Paid	7,480	Returns	8,000
Wages	33,000	Trade Creditors	37,000
Salaries	30,800	Discount	3,000
Power	5,400	Capital	2,00,000
Stock on 1-4-2018	15,000	Miscellaneous Income	3,060
Stock on 31-3-2019	36,000
Charity	500
Debtors	53,000
Furniture	8,000
Motor Car	2,00,000
Motor Car Expenses	18,000
Insurance	3,600
Unexpired Insurance	600
Drawings	5,000
Cash Balance	34,680

	7,81,060		7,81,060

Informations:-

(i) Goods Costing ₹ 2,000 were taken away by the proprietor for his personal use and goods costing ₹ 1,500 were given away as charity.

(ii) Expenses for wages, rent and salaries are uniform throughout the year and those for March have not been paid.

(iii) Provide 10% depreciation on Furniture and 20% on Motor Car.

(iv) Provide for Manager's Commission at 10% on Net Profit after charging such Commission.

Discussion

7873.	Catty is making a hopscotch in which all rectangles are of the same size. If the perimeter of this structure is 44 units. What is the value of 'm'?2
Answer» Catty is making a hopscotch in which all rectangles are of the same size. If the perimeter of this structure is 44 units. What is the value of 'm'? 2

Discussion

7874.	Question 14The points scored by a basketball team in a series of matches are as follows.17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28Find the median and mode of the data.
Answer» Question 14 The points scored by a basketball team in a series of matches are as follows. 17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28 Find the median and mode of the data.

Discussion

7875.	Once they reached home, Rina and Tina wanted to know how long they’ve spent in the car during the travel. So, Rina asked their dad. He told her that it took 104.1 minutes to travel a distance of 60.725 km from Bangalore to Chennai. Then, Rina told Tina that we’ve spent 1.635 hours in the car. Is she right? Say yes or no. __
Answer» Once they reached home, Rina and Tina wanted to know how long they’ve spent in the car during the travel. So, Rina asked their dad. He told her that it took 104.1 minutes to travel a distance of 60.725 km from Bangalore to Chennai. Then, Rina told Tina that we’ve spent 1.635 hours in the car. Is she right? Say yes or no. __

Discussion

7876.	Question 52 State whether the statement given is True or False. When we add a monomial and a trinomial, then answer can be a monomial.
Answer» Question 52 State whether the statement given is True or False. When we add a monomial and a trinomial, then answer can be a monomial.

7876.

Question 52 State whether the statement given is True or False. When we add a monomial and a trinomial, then answer can be a monomial.

Answer»

Question 52

State whether the statement given is True or False.

When we add a monomial and a trinomial, then answer can be a monomial.

Discussion

7877.	Quotient of m÷6 is 5
Answer» Quotient of m÷6 is 5

Discussion

7878.	Followingnumber line shows the temperature in degree celsius (°C)at different places on a particular day.(a)Observe this number line and write the temperature of the places marked on it.(b)What is the temperature difference between the hottest and the coldest places among the above?(c) What is the temperature difference between Lahulspiti and Srinagar?(d)Can we say the temperature of Srinagar and Shimla have taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?
Answer» Followingnumber line shows the temperature in degree celsius (°C)at different places on a particular day. (a)Observe this number line and write the temperature of the places marked on it. (b)What is the temperature difference between the hottest and the coldest places among the above? (c) What is the temperature difference between Lahulspiti and Srinagar? (d)Can we say the temperature of Srinagar and Shimla have taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?

7878.

Followingnumber line shows the temperature in degree celsius (°C)at different places on a particular day.(a)Observe this number line and write the temperature of the places marked on it.(b)What is the temperature difference between the hottest and the coldest places among the above?(c) What is the temperature difference between Lahulspiti and Srinagar?(d)Can we say the temperature of Srinagar and Shimla have taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?

Answer»

Followingnumber line shows the temperature in degree celsius (°C)at different places on a particular day.

(a)Observe this number line and write the temperature of the places marked on it.

(b)What is the temperature difference between the hottest and the coldest places among the above?

(c) What is the temperature difference between Lahulspiti and Srinagar?

(d)Can we say the temperature of Srinagar and Shimla have taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?

Discussion

7879.	ΔABC and ΔPQR are similar triangles. If ∠A = 50° and ∠C = 60°, find the measure of ∠Q in degrees.70
Answer» $Δ$ ABC and $Δ$ PQR are similar triangles. If $∠$ A = 50° and $∠$ C = 60°, find the measure of $∠$ Q in degrees. 70

Discussion

7880.	Q. Four identical coins are placed on a square piece of paper as shown below. If the area of each coin is numerically equal to its perimeter, find the area of the paper that is not covered by the coins.Q. नीचे दी गई आकृति के अनुसार चार समान सिक्के कागज के चौकोर टुकड़े पर रखे गए हैं। यदि प्रत्येक सिक्के का क्षेत्रफल संख्यात्मक रूप से इसकी परिधि के बराबर है, तो कागज के उस भाग का क्षेत्रफल ज्ञात कीजिए जो सिक्कों से ढंका नहीं है।
Answer» Q. Four identical coins are placed on a square piece of paper as shown below. If the area of each coin is numerically equal to its perimeter, find the area of the paper that is not covered by the coins. Q. नीचे दी गई आकृति के अनुसार चार समान सिक्के कागज के चौकोर टुकड़े पर रखे गए हैं। यदि प्रत्येक सिक्के का क्षेत्रफल संख्यात्मक रूप से इसकी परिधि के बराबर है, तो कागज के उस भाग का क्षेत्रफल ज्ञात कीजिए जो सिक्कों से ढंका नहीं है।

Discussion

7881.	Consider the following figure: All the angles are in degrees (∘) Find the value of x.
Answer» Consider the following figure: All the angles are in degrees $(^{\circ})$ Find the value of x.

7881.

Consider the following figure: All the angles are in degrees (∘) Find the value of x.

Answer»

Consider the following figure:

All the angles are in degrees $(^{\circ})$

Find the value of x.

Discussion

7882.	Solve the following equations.(1) 17p − 2 = 49(2) 2m + 7 = 9(3) 3x + 12 = 2x − 4(4) 5(x − 3) = 3(x + 2)(5) 9x8+ 1 = 10(6) y7 + y-43 = 2(7) 13x − 5 = 32(8) 3(y + 8) = 10(y − 4) + 8(9) x-9x-5 = 57(10) y-43 + 3y = 4(11) b+(b+1)+(b+2)4 = 21
Answer» Solve the following equations. (1) 17p − 2 = 49 (2) 2m + 7 = 9 (3) 3x + 12 = 2x − 4 (4) 5(x − 3) = 3(x + 2) (5) $\frac{9 x}{8}$ + 1 = 10 (6) $\frac{y}{7}$ + $\frac{y - 4}{3}$ = 2 (7) 13x − 5 = $\frac{3}{2}$ (8) 3(y + 8) = 10(y − 4) + 8 (9) $\frac{x - 9}{x - 5}$ = $\frac{5}{7}$ (10) $\frac{y - 4}{3}$ + 3y = 4 (11) $\frac{b + (b + 1) + (b + 2)}{4}$ = 21

Discussion

7883.	An NGO took a loan of ₹ 50,000 from a bank to build an orphanage. The NGO returned ₹ 60,000 to the bank after 12 months. Find the extra money paid and the monthly installment amount.
Answer» An NGO took a loan of ₹ 50,000 from a bank to build an orphanage. The NGO returned ₹ 60,000 to the bank after 12 months. Find the extra money paid and the monthly installment amount.

Discussion

7884.	The speed of a car is 18m/s. Express this speed in km/h.
Answer» The speed of a car is 18m/s. Express this speed in km/h.

Discussion

7885.	One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.
Answer» One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.

Discussion

7886.	If a : b = 5 : 6 and b : c = 3 : 4 , find a : b : c
Answer» If a : b = 5 : 6 and b : c = 3 : 4 , find a : b : c

7886.

If a : b = 5 : 6 and b : c = 3 : 4 , find a : b : c

Answer»

If a : b = 5 : 6 and b : c = 3 : 4 , find a : b : c

Discussion

7887.	A man got 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.
Answer» A man got $10 %$ increase in his salary. If his new salary is $R s 1, 54, 000$ , find his original salary.

Discussion

7888.	How much wire will be required to fence a square field of area 441 square meters?
Answer» How much wire will be required to fence a square field of area 441 square meters?

Discussion

7889.	19. If the length of a rectangular farm and its breadth are in the ratio of 5:4 and the area of the farm is 13520 m square, find the cost of fencing the farm at the rate of rupees 15 per meter.
Answer» 19. If the length of a rectangular farm and its breadth are in the ratio of 5:4 and the area of the farm is 13520 m square, find the cost of fencing the farm at the rate of rupees 15 per meter.

Discussion

7890.	Simplify : (1x)−1(1x)3
Answer» Simplify : $\frac{{(\frac{1}{x})}^{- 1}}{{(\frac{1}{x})}^{3}}$

Discussion

7891.	-2and1by2 subtracted by 1
Answer» -2and1by2 subtracted by 1

Discussion

7892.	The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0). Find the coordinates of B.
Answer» The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0). Find the coordinates of B.

Discussion

7893.	Select all that are two-dimensional objects.
Answer» Select all that are two-dimensional objects.

Discussion

7894.	Question 19There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B but, if 20 students are sent from B to A, the number of students in A becomes double the number of students in B, then find the number of students in the both halls.
Answer» Question 19 There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B but, if 20 students are sent from B to A, the number of students in A becomes double the number of students in B, then find the number of students in the both halls.

Discussion

7895.	Draw the solid whose net is given below.
Answer» Draw the solid whose net is given below.

Discussion

7896.	Data that you would not have collected yourself is
Answer» Data that you would not have collected yourself is

Discussion

7897.

Subtract3t4−4t3+2t2−6t+6 from−4t4+8t3−4t2−2t+11

Answer»

Subtract

$3 t^{4} - 4 t^{3} + 2 t^{2} - 6 t + 6 f r o m - 4 t^{4} + 8 t^{3} - 4 t^{2} - 2 t + 11$

Discussion

7898.	The nth term of the pattern 0, 3, 8, 15, 24...... is _____.
Answer» The $n^{t h}$ term of the pattern 0, 3, 8, 15, 24...... is _____.

Discussion

7899.	If x4+1x4=623, then x+1x=(a) 27(b) 25(c) 33(d) -33
Answer» If $x^{4} + \frac{1}{x^{4}} = 623$ , then $x + \frac{1}{x} =$ (a) 27 (b) 25 (c) $3 \sqrt{3}$ (d) $- 3 \sqrt{3}$

Discussion

7900.	If the mirror image of the point P(5, 2) in x-axis is the point Q and the image of Q in y-axis is R. Then the coordinates of R are(a) (5, –2)(b) (–5, –2)(c) (–5, 2)(d) (2, 5)
Answer» If the mirror image of the point P(5, 2) in x-axis is the point Q and the image of Q in y-axis is R. Then the coordinates of R are (a) (5, –2) (b) (–5, –2) (c) (–5, 2) (d) (2, 5)

Discussion

Explore topic-wise InterviewSolutions in .

Question 1In ΔABC and ΔPQR, ∠A=∠Q and ∠B=∠R. which side of a ΔPQR should be equal to side AB of ΔABC, so that the two triangles are congruent? Give reason for your answer.

Construct the triangle MNO, NO = 4.8 cm, and measure the two sides of the triangle.

The number of all 3-digit numbers abc (in base10) for which (a×b×c)+(a×b)+(b×c)+(c×a)+a+b+c=29 is

A snail covers a distance of 100 meters in 50 hours. Calculate the average speed of snail in km/h.

ΔABC is right angled at A. AB = 60 units, AC = 80 units and BC = 100 units. D is a point between B and C such that ΔADB and ΔADC have equal perimeters. What is the length of BD? 60

Two poles of heights 8 m and 15 m stand vertically on a plane ground. If the distance between their feet is 24 m, then find the distance between their top ends.

What is the mean of the numbers 5,6 and 7

Question 84 State whether the statement is True or False. (−20)×(5−3)=(−20)×(−2)

A disc with segments in rainbow colors is called

The following is the shadow of a 3-D object. Which of these objects does the shadow belong to?

34. If 6a + b2 =97,where a and b are the digits, then the values of a and b respectively are : 1) 5 and 3 2) 3 and 5 3) 2 and 3 4) 5 and 4

When a coin is tossed thrice, what is the probability of getting two heads and one tail ?

Mention the name of a Mathematician who showed the method of representing sets through diagrams.

In fig., AD is the bisector of ∠BAC. If AB =10 cm. AC =14 cm and BC = 6 cm, find BD and DC.

Question 4(c) Find the product using suitable properties: 258×1008

Draw a bar graph for the data givenPeriodicals No. of copies sold in a town (a) Sudha 500 (b) Taranga 400 (c) Karma Veera 200 (d) Weekly Magazine 300

Problem 17. Ifa small piece of radius b is removed from a charged spherical shell of radius a (>>b), calculate electric intensity at the mid-point of the aperture, assuming if the density ofcharge to b sigma .

In the adjoining figure, find the value of 'a'.

An angle of measure 30∘ and twice of another angle x are supplementary angles. Find the value of x (in degrees).75

Catty is making a hopscotch in which all rectangles are of the same size. If the perimeter of this structure is 44 units. What is the value of 'm'?2

Question 14The points scored by a basketball team in a series of matches are as follows.17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28Find the median and mode of the data.

Question 52 State whether the statement given is True or False. When we add a monomial and a trinomial, then answer can be a monomial.

Quotient of m÷6 is 5

ΔABC and ΔPQR are similar triangles. If ∠A = 50° and ∠C = 60°, find the measure of ∠Q in degrees.70

Consider the following figure: All the angles are in degrees (∘) Find the value of x.

Solve the following equations.(1) 17p − 2 = 49(2) 2m + 7 = 9(3) 3x + 12 = 2x − 4(4) 5(x − 3) = 3(x + 2)(5) 9x8+ 1 = 10(6) y7 + y-43 = 2(7) 13x − 5 = 32(8) 3(y + 8) = 10(y − 4) + 8(9) x-9x-5 = 57(10) y-43 + 3y = 4(11) b+(b+1)+(b+2)4 = 21

An NGO took a loan of ₹ 50,000 from a bank to build an orphanage. The NGO returned ₹ 60,000 to the bank after 12 months. Find the extra money paid and the monthly installment amount.

The speed of a car is 18m/s. Express this speed in km/h.

One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.

If a : b = 5 : 6 and b : c = 3 : 4 , find a : b : c

A man got 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

How much wire will be required to fence a square field of area 441 square meters?

19. If the length of a rectangular farm and its breadth are in the ratio of 5:4 and the area of the farm is 13520 m square, find the cost of fencing the farm at the rate of rupees 15 per meter.

Simplify : (1x)−1(1x)3

-2and1by2 subtracted by 1

The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0). Find the coordinates of B.

Select all that are two-dimensional objects.

Draw the solid whose net is given below.

Data that you would not have collected yourself is

Subtract3t4−4t3+2t2−6t+6 from−4t4+8t3−4t2−2t+11

The nth term of the pattern 0, 3, 8, 15, 24...... is _____.

If x4+1x4=623, then x+1x=(a) 27(b) 25(c) 33(d) -33

If the mirror image of the point P(5, 2) in x-axis is the point Q and the image of Q in y-axis is R. Then the coordinates of R are(a) (5, –2)(b) (–5, –2)(c) (–5, 2)(d) (2, 5)