32581 + Interview Questions in Mathematics Page 42 InterviewSolution

2051.	Fill in the blanks:818-.....=78
Answer» Fill in the blanks: $8 \frac{1}{8} - . . . . . = \frac{7}{8}$

Discussion

2052.	Tickets numbers from 1 to 20 are mixed up and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 7?
Answer» Tickets numbers from 1 to 20 are mixed up and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 7?

Discussion

2053.	Which of the following functions is not an agency function?
Answer» Which of the following functions is not an agency function?

Discussion

2054.	If the value of 10∑r=2r2+r+1(r−1)(r)(r+1)(r+2) is k40, then k is equal to
Answer» If the value of $10 \sum r = 2 \frac{r^{2} + r + 1}{(r - 1) (r) (r + 1) (r + 2)}$ is $\frac{k}{40},$ then $k$ is equal to

Discussion

2055.	If you have a spinning wheel with 3 green sectors, 1 blue sector, and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non-blue sector?
Answer» If you have a spinning wheel with 3 green sectors, 1 blue sector, and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non-blue sector?

Discussion

2056.	If ∆ABC and ∆DEF are two triangles such that ABDE=BCEF=CAFD=25, then Area (∆ABC) : Area (∆DEF) =(a) 2 : 5(b) 4 : 25(c) 4 : 15(d) 8 : 125
Answer» If ∆ABC and ∆DEF are two triangles such that $\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD} = \frac{2}{5}$ , then Area (∆ABC) : Area (∆DEF) = (a) 2 : 5 (b) 4 : 25 (c) 4 : 15 (d) 8 : 125

Discussion

2057.	250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is as below. Marks Secured0−2020−4040−6060−8080−100Number of students2035656070
Answer» 250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is as below. $\begin{matrix} M a r k s S e c u r e d & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 N u m b e r o f s t u d e n t s & 20 & 35 & 65 & 60 & 70 \end{matrix}$

Discussion

2058.	Write the value of cosec2θ1+cosθ1-cosθ.
Answer» Write the value of $\cos {ec}^{2} θ (1 + \cos θ) (1 - \cos θ)$ .

Discussion

2059.	In a circular dartboard of radius 20 cm, there are 5 concentric circles. The radius of each successive inner concentric circle is 4 cm less than the preceding outer concentric circle. What is the probability that the dart hits the smallest circle?
Answer» In a circular dartboard of radius 20 cm, there are 5 concentric circles. The radius of each successive inner concentric circle is 4 cm less than the preceding outer concentric circle. What is the probability that the dart hits the smallest circle?

Discussion

2060.	Arti Ltd. offered for subscription 20,000 shares of ₹ 10 each payable ₹ 3 on application, ₹ 5 on allotment and balance on first and final call. Applications were received for 30,000 shares. Letters of regret were issued to applicants for 5,000 shares and their application money was refunded. Application money for other 5,000 shares was applied towards the payment for allotment money. The balance of allotment money was also received in due time. Company didn't make first and final call.You are to prepare the Journal, Cash Book, Ledger Accounts and show 'Share Capital' in the Balance Sheet of the company.
Answer» Arti Ltd. offered for subscription 20,000 shares of ₹ 10 each payable ₹ 3 on application, ₹ 5 on allotment and balance on first and final call. Applications were received for 30,000 shares. Letters of regret were issued to applicants for 5,000 shares and their application money was refunded. Application money for other 5,000 shares was applied towards the payment for allotment money. The balance of allotment money was also received in due time. Company didn't make first and final call. You are to prepare the Journal, Cash Book, Ledger Accounts and show 'Share Capital' in the Balance Sheet of the company.

Discussion

2061.	Prove that √3 is irrational. [4 MARKS]
Answer» Prove that $\sqrt{3}$ is irrational. [4 MARKS]

Discussion

2062.	Hcf of 263 and 306
Answer» Hcf of 263 and 306

Discussion

2063.	The figure consists of 2 cylinders, the inner cylinder is a solid cylinder whose radius is r and the outer cylinder is a hollow cylinder whose radius is R and height is h, the volume of fluid it can hold is
Answer» The figure consists of 2 cylinders, the inner cylinder is a solid cylinder whose radius is r and the outer cylinder is a hollow cylinder whose radius is R and height is h, the volume of fluid it can hold is

Discussion

2064.	2 solid discs of radii R and 2R roll from tip of an incline plane of height 7m which will reach first?
Answer» 2 solid discs of radii R and 2R roll from tip of an incline plane of height 7m which will reach first?

Discussion

2065.	Which of the following statements are true always?
Answer» Which of the following statements are true always?

Discussion

2066.	A cone of radius 4 cm is divided into two parts by drawing a plane through the mid point of its axis and parallel to its base . Compare the volumes of two parts.
Answer» A cone of radius 4 cm is divided into two parts by drawing a plane through the mid point of its axis and parallel to its base . Compare the volumes of two parts.

Discussion

2067.	If A (3,4) is a point on a circle with centre (0,0) then its radius = ___ units.
Answer» If A (3,4) is a point on a circle with centre (0,0) then its radius = ___ units.

Discussion

2068.	Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63?___
Answer» Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63? ___

Discussion

2069.	Prove that the points (1, 4), (4, 1) and lie on the same line.
Answer» Prove that the points (1, 4), (4, 1) and lie on the same line.

Discussion

2070.	Let f(x) = 2x + 1. Then the number of real values of x for which the three numbers f(x), f(2x), f(4x) are in G.P. is __
Answer» Let f(x) = 2x + 1. Then the number of real values of x for which the three numbers f(x), f(2x), f(4x) are in G.P. is __

Discussion

2071.	ntIf the points (2-x,2,2), (2,2-y,2) and (2,2,2-z) are coplanar then prove that 2/x+2/y+2/z=1n
Answer» ntIf the points (2-x,2,2), (2,2-y,2) and (2,2,2-z) are coplanar then prove that 2/x+2/y+2/z=1n

Discussion

2072.	The difference of two natural numbers is 3 and the difference of their reciprocals is 328. Find the numbers. [CBSE 2014]
Answer» The difference of two natural numbers is 3 and the difference of their reciprocals is $\frac{3}{28}$ . Find the numbers. [CBSE 2014]

Discussion

2073.	Divide the line segment of 8 cm length in the ratio 4 : 3. Write down the steps to divide a line segment. [2 MARKS]
Answer» Divide the line segment of 8 cm length in the ratio 4 : 3. Write down the steps to divide a line segment. [2 MARKS]

Discussion

2074.	In figure,two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ=120∘,then prove that,OR=PR+RQ.
Answer» In figure,two tangents RQ and RP are drawn from an external point R to the circle with centre O. If $∠ P R Q = 120^{\circ}$ ,then prove that,OR=PR+RQ.

Discussion

2075.	Which constant must be added and subtracted to solve the quadratic equation 4x2+20x+92=0 by the method of completing the square?
Answer» Which constant must be added and subtracted to solve the quadratic equation $4 x^{2} + 20 x + \frac{9}{2} = 0$ by the method of completing the square?

Discussion

2076.	zeroes of 9x2−24x+16
Answer» zeroes of $9 x^{2} - 24 x + 16$

Discussion

2077.	The time taken to travel 30km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km, then total time taken is 11 hours more than earlier. Find the speed of the stream and speed of the boat.
Answer» The time taken to travel 30km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km, then total time taken is 11 hours more than earlier. Find the speed of the stream and speed of the boat.

Discussion

2078.	If sec 4A = cosec (A − 20°), where 4A is an acute angles, find the value of A.
Answer» If sec 4A = cosec (A − 20°), where 4A is an acute angles, find the value of A.

Discussion

2079.	Taylor purchased a rectangular plot of area 634 m2. The length of the plot is 2 m more than thrice its breadth. The length and breadth respectively is _____ (approximate values).
Answer» Taylor purchased a rectangular plot of area $634 m^{2}$ . The length of the plot is 2 m more than thrice its breadth. The length and breadth respectively is _____ (approximate values).

Discussion

2080.	In what ratio is the line segment joining (-1, 3) and (4, -7) is divided by the point (2, -3)?
Answer» In what ratio is the line segment joining (-1, 3) and (4, -7) is divided by the point (2, -3)?

Discussion

2081.	The diagonals AC and BD of a parallelogram intersect at O. If M is the mid point of AD, and CD=12 cm, then OM=
Answer» The diagonals $A C$ and $B D$ of a parallelogram intersect at $O .$ If $M$ is the mid point of $A D,$ and $C D = 12 cm,$ then $O M =$

Discussion

2082.

Followingt Trial Balance has been extracted from the books of Santosh on 31st March, 2018: Particulars Debit balances (₹) Credit balances (₹) Drawings 20,000 Plant and Machinery 10,00,000 Furniture and Fixtures 1,20,000 Capital A/c 19,60,000 Sales 46,80,000 Loose Tools 2,00,000 Goodwill 1,00,000 Opening Stock 2,00,000 Returns Outward 40,000 Discount 60,000 Purchases 21,20,000 Returns Inward 80,000 Wages 10,00,000 Sundry Creditors 2,40,000 Provision for Doubtful Debts 20,000 Carriage Inwards 1,20,000 Salaries 4,16,000 General Expenses 7,20,000 Rent 1,44,000 Postage 40,000 Output IGST 1,00,000 Output CGST 50,000 Output SGST 50,000 Sundry Debtors 5,60,000 Shri B. Barua 20,000 Cash and Bank Balances 1,40,000 Input IGST 1,10,000 Input CGST 45,000 Input SGST 45,500 Total 72,00,000 72,00,000 Following additional information is available:(a) Stock on 31st March, 2018 was ₹3,08,000.(b) Depreciation is to be charged on Plant and Machinery at 5% and Furniture and Fixtures at 6%. Loose Tools are revalued at ₹1,60,000.(c)Provision for Doubtful Debts is to be maintained at 5% on Sundry Debtors.(d) Remuneration of ₹20,000 paid to Shri B. Barua, a temporary employee, stands debited to his personal account and it is to be corrected.(e) Unexpired insurance was ₹4,000.You are to prepare Trading and Profit and Loss Account for the year ended 31st March, 2018 and Balance Sheet as at that date.

Answer»

Followingt Trial Balance has been extracted from the books of Santosh on 31st March, 2018:


Particulars	Debit balances (₹)	Credit balances (₹)
Drawings	20,000
Plant and Machinery	10,00,000
Furniture and Fixtures	1,20,000
Capital A/c		19,60,000
Sales		46,80,000
Loose Tools	2,00,000
Goodwill	1,00,000
Opening Stock	2,00,000
Returns Outward		40,000
Discount		60,000
Purchases	21,20,000
Returns Inward	80,000
Wages	10,00,000
Sundry Creditors		2,40,000
Provision for Doubtful Debts		20,000
Carriage Inwards	1,20,000
Salaries	4,16,000
General Expenses	7,20,000
Rent	1,44,000
Postage	40,000
Output IGST		1,00,000
Output CGST		50,000
Output SGST		50,000
Sundry Debtors	5,60,000
Shri B. Barua	20,000
Cash and Bank Balances	1,40,000
Input IGST	1,10,000
Input CGST	45,000
Input SGST	45,500
Total	72,00,000	72,00,000

Following additional information is available:

(a) Stock on 31st March, 2018 was ₹3,08,000.

(b) Depreciation is to be charged on Plant and Machinery at 5% and Furniture and Fixtures at 6%. Loose Tools are revalued at ₹1,60,000.

(c)Provision for Doubtful Debts is to be maintained at 5% on Sundry Debtors.

(d) Remuneration of ₹20,000 paid to Shri B. Barua, a temporary employee, stands debited to his personal account and it is to be corrected.

(e) Unexpired insurance was ₹4,000.

You are to prepare Trading and Profit and Loss Account for the year ended 31st March, 2018 and Balance Sheet as at that date.

Discussion

2083.	Two AP's have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?
Answer» Two AP's have the same common difference. The difference between their $100^{t h}$ terms is 100, what is the difference between their $1000^{t h}$ terms?

Discussion

2084.	The science of collecting, analysing, interpreting and presenting the numerical data, is known as ___ .
Answer» The science of collecting, analysing, interpreting and presenting the numerical data, is known as ___ .

Discussion

2085.	In the given figure, the breadth of the rectangle is 10 cm. Two semicircles are drawn such that the breadth of the rectangle becomes their diameter. If the area of the shaded region is 100 cm2, what would be the shortest distance (in cm) between the semicircles?
Answer» In the given figure, the breadth of the rectangle is 10 $c m$ . Two semicircles are drawn such that the breadth of the rectangle becomes their diameter. If the area of the shaded region is 100 $c m^{2}$ , what would be the shortest distance (in $c m$ ) between the semicircles?

Discussion

2086.	If (a + 2b + c), (a –c)and (a - 2b + c) are in proportion, then.
Answer» If (a + 2b + c), (a –c)and (a - 2b + c) are in proportion, then.

Discussion

2087.	Hanny, Pammy and Sunny are partners sharing profits in the ratio of 3 : 2 : 1. Goodwill is appearing in the books at a value of ₹ 60,000. Pammy retires and at the time of Pammy's retirement, goodwill is valued at ₹ 84,000. Hanny and Sunny decided to share future profits in the ratio of 2 : 1. Record the necessary Journal entries.
Answer» Hanny, Pammy and Sunny are partners sharing profits in the ratio of 3 : 2 : 1. Goodwill is appearing in the books at a value of ₹ 60,000. Pammy retires and at the time of Pammy's retirement, goodwill is valued at ₹ 84,000. Hanny and Sunny decided to share future profits in the ratio of 2 : 1. Record the necessary Journal entries.

Discussion

2088.	How can ∆BDE have EG as their height as EG is lying outside of ∆BDE in proving the BASIC PROPORTIONALITY THEOREM ?
Answer» How can ∆BDE have EG as their height as EG is lying outside of ∆BDE in proving the BASIC PROPORTIONALITY THEOREM ?

Discussion

2089.	The given table shows the Marks obtained by students in Mathematics. MarksNo. of Students0−10310−20720−301230−401540−502050−60960−70870−801680−901490−1006 Using the table determine the Number of students who got above 74 % by drawing an ogive curve.
Answer» The given table shows the Marks obtained by students in Mathematics. $\begin{matrix} Marks & No. of Students 0 - 10 & 3 10 - 20 & 7 20 - 30 & 12 30 - 40 & 15 40 - 50 & 20 50 - 60 & 9 60 - 70 & 8 70 - 80 & 16 80 - 90 & 14 90 - 100 & 6 \end{matrix}$ Using the table determine the Number of students who got above 74 % by drawing an ogive curve.

2089.

The given table shows the Marks obtained by students in Mathematics. MarksNo. of Students0−10310−20720−301230−401540−502050−60960−70870−801680−901490−1006 Using the table determine the Number of students who got above 74 % by drawing an ogive curve.

Answer»

The given table shows the Marks obtained by students in Mathematics.

$\begin{matrix} Marks & No. of Students 0 - 10 & 3 10 - 20 & 7 20 - 30 & 12 30 - 40 & 15 40 - 50 & 20 50 - 60 & 9 60 - 70 & 8 70 - 80 & 16 80 - 90 & 14 90 - 100 & 6 \end{matrix}$

Using the table determine the Number of students who got above 74 % by drawing an ogive curve.

Discussion

2090.	PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region [Use π=3.14]
Answer» PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region [Use $π = 3.14$ ]

Discussion

2091.	The number 1.732 is(a) an irrational number(b) a rational number(c) an integer(d) a whole number
Answer» The number 1.732 is (a) an irrational number (b) a rational number (c) an integer (d) a whole number

Discussion

2092.	If three numbers a, b, and c are in an A.P, then which of the following is/are the arithmetic mean between a and c?
Answer» If three numbers a, b, and c are in an A.P, then which of the following is/are the arithmetic mean between a and c?

Discussion

2093.	Question 7The area of a triangle with vertices A(3,0), B(7,0) and C(8,4) is (A) 14(B) 28(C) 8(D) 6
Answer» Question 7 The area of a triangle with vertices A(3,0), B(7,0) and C(8,4) is (A) 14 (B) 28 (C) 8 (D) 6

Discussion

2094.	A toy in the shape of a square pyramid has base edge 16 centimetres and slant height 10 centimetres. 500 of these are to be painted and the cost is 80 rupees per square metre. What would be the total cost?
Answer» A toy in the shape of a square pyramid has base edge 16 centimetres and slant height 10 centimetres. 500 of these are to be painted and the cost is 80 rupees per square metre. What would be the total cost?

Discussion

2095.	The mean of first n odd natural number is(a) n+12(b) n2(c) n(d) n2
Answer» The mean of first n odd natural number is (a) $\frac{n + 1}{2}$ (b) $\frac{n}{2}$ (c) n (d) n²

Discussion

2096.	Solve equation, given below, using factorisation method: 6x=1+x
Answer» Solve equation, given below, using factorisation method: $\frac{6}{x} = 1 + x$

2096.

Solve equation, given below, using factorisation method: 6x=1+x

Answer»

Solve equation, given below, using factorisation method:

$\frac{6}{x} = 1 + x$

Discussion

2097.	Mandeep, Vinod and Abbas are partners sharing profits and losses in the ratio of 3 : 2 : 1. From 1st April, 2019 they decided to share profits equally. The Partnership Deed provides that in the event of any change in profit-sharing ratio, goodwill shall be valued at three years' purchase of average profit of last five years. The profits and losses of past five years are:Profit − Year ended 31st March, 2015 − ₹ 1,00,000; 2016 − ₹ 1,50,000; 2018 − ₹ 2,00,000; 2019 − ₹ 2,00,000.Loss − Year ended 31st March, 2017 − ₹ 50,000.Pass the Journal entry showing the working.
Answer» Mandeep, Vinod and Abbas are partners sharing profits and losses in the ratio of 3 : 2 : 1. From 1st April, 2019 they decided to share profits equally. The Partnership Deed provides that in the event of any change in profit-sharing ratio, goodwill shall be valued at three years' purchase of average profit of last five years. The profits and losses of past five years are: Profit − Year ended 31st March, 2015 − ₹ 1,00,000; 2016 − ₹ 1,50,000; 2018 − ₹ 2,00,000; 2019 − ₹ 2,00,000. Loss − Year ended 31st March, 2017 − ₹ 50,000. Pass the Journal entry showing the working.

Discussion

2098.	A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is
Answer» A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm³, then the weight of the pipe is

Discussion

2099.	9 cosec70° cos20° - 7 sec70° sin20° = ___.
Answer» 9 cosec70° cos20° - 7 sec70° sin20° = ___.

Discussion

2100.

Question 24The ratio of radii of two cylinders is 1 : 2 and heights are in the ratio 2 : 3. The ratio of their volumes isa) 1 : 6b) 1 : 9c) 1 : 3d) 2 : 9

Answer»

Question 24

The ratio of radii of two cylinders is 1 : 2 and heights are in the ratio 2 : 3. The ratio of their volumes is

a) 1 : 6

b) 1 : 9

c) 1 : 3

d) 2 : 9

Discussion

Explore topic-wise InterviewSolutions in .

Fill in the blanks:818-.....=78

Tickets numbers from 1 to 20 are mixed up and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 7?

Which of the following functions is not an agency function?

If the value of 10∑r=2r2+r+1(r−1)(r)(r+1)(r+2) is k40, then k is equal to

If you have a spinning wheel with 3 green sectors, 1 blue sector, and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non-blue sector?

If ∆ABC and ∆DEF are two triangles such that ABDE=BCEF=CAFD=25, then Area (∆ABC) : Area (∆DEF) =(a) 2 : 5(b) 4 : 25(c) 4 : 15(d) 8 : 125

250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is as below. Marks Secured0−2020−4040−6060−8080−100Number of students2035656070

Write the value of cosec2θ1+cosθ1-cosθ.

In a circular dartboard of radius 20 cm, there are 5 concentric circles. The radius of each successive inner concentric circle is 4 cm less than the preceding outer concentric circle. What is the probability that the dart hits the smallest circle?

Prove that √3 is irrational. [4 MARKS]

Hcf of 263 and 306

The figure consists of 2 cylinders, the inner cylinder is a solid cylinder whose radius is r and the outer cylinder is a hollow cylinder whose radius is R and height is h, the volume of fluid it can hold is

2 solid discs of radii R and 2R roll from tip of an incline plane of height 7m which will reach first?

Which of the following statements are true always?

A cone of radius 4 cm is divided into two parts by drawing a plane through the mid point of its axis and parallel to its base . Compare the volumes of two parts.

If A (3,4) is a point on a circle with centre (0,0) then its radius = ___ units.

Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63?___

Prove that the points (1, 4), (4, 1) and lie on the same line.

Let f(x) = 2x + 1. Then the number of real values of x for which the three numbers f(x), f(2x), f(4x) are in G.P. is __

ntIf the points (2-x,2,2), (2,2-y,2) and (2,2,2-z) are coplanar then prove that 2/x+2/y+2/z=1n

The difference of two natural numbers is 3 and the difference of their reciprocals is 328. Find the numbers. [CBSE 2014]

Divide the line segment of 8 cm length in the ratio 4 : 3. Write down the steps to divide a line segment. [2 MARKS]

In figure,two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ=120∘,then prove that,OR=PR+RQ.

Which constant must be added and subtracted to solve the quadratic equation 4x2+20x+92=0 by the method of completing the square?

zeroes of 9x2−24x+16

The time taken to travel 30km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km, then total time taken is 11 hours more than earlier. Find the speed of the stream and speed of the boat.

If sec 4A = cosec (A − 20°), where 4A is an acute angles, find the value of A.

Taylor purchased a rectangular plot of area 634 m2. The length of the plot is 2 m more than thrice its breadth. The length and breadth respectively is _____ (approximate values).

In what ratio is the line segment joining (-1, 3) and (4, -7) is divided by the point (2, -3)?

The diagonals AC and BD of a parallelogram intersect at O. If M is the mid point of AD, and CD=12 cm, then OM=

Two AP's have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?

The science of collecting, analysing, interpreting and presenting the numerical data, is known as ___ .

In the given figure, the breadth of the rectangle is 10 cm. Two semicircles are drawn such that the breadth of the rectangle becomes their diameter. If the area of the shaded region is 100 cm2, what would be the shortest distance (in cm) between the semicircles?

If (a + 2b + c), (a –c)and (a - 2b + c) are in proportion, then.

How can ∆BDE have EG as their height as EG is lying outside of ∆BDE in proving the BASIC PROPORTIONALITY THEOREM ?

The given table shows the Marks obtained by students in Mathematics. MarksNo. of Students0−10310−20720−301230−401540−502050−60960−70870−801680−901490−1006 Using the table determine the Number of students who got above 74 % by drawing an ogive curve.

PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region [Use π=3.14]

The number 1.732 is(a) an irrational number(b) a rational number(c) an integer(d) a whole number

If three numbers a, b, and c are in an A.P, then which of the following is/are the arithmetic mean between a and c?

Question 7The area of a triangle with vertices A(3,0), B(7,0) and C(8,4) is (A) 14(B) 28(C) 8(D) 6

A toy in the shape of a square pyramid has base edge 16 centimetres and slant height 10 centimetres. 500 of these are to be painted and the cost is 80 rupees per square metre. What would be the total cost?

The mean of first n odd natural number is(a) n+12(b) n2(c) n(d) n2

Solve equation, given below, using factorisation method: 6x=1+x

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is

9 cosec70° cos20° - 7 sec70° sin20° = ___.

Question 24The ratio of radii of two cylinders is 1 : 2 and heights are in the ratio 2 : 3. The ratio of their volumes isa) 1 : 6b) 1 : 9c) 1 : 3d) 2 : 9