32581 + Interview Questions in Mathematics Page 243 InterviewSolution

12101.	Find the 8th term of the sequence : 34, 112, 3,............. .
Answer» Find the 8th term of the sequence : $\frac{3}{4}, 1 \frac{1}{2}, 3, . . . . . . . . . . . . . .$

12101.

Find the 8th term of the sequence : 34, 112, 3,............. .

Answer»

Find the 8th term of the sequence :

$\frac{3}{4}, 1 \frac{1}{2}, 3, . . . . . . . . . . . . . .$

12102.	If (x−1) is a factor of ax3−bx2+cx, then the value of a3−b3+c3 is .
Answer» If $(x - 1)$ is a factor of $a x^{3} - b x^{2} + c x$ , then the value of $a^{3} - b^{3} + c^{3}$ is .

Discussion

12103.	Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.
Answer» Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.

12103.

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.

Answer»

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.

Discussion

12104.	Simplify (cosec θ+cot θ)×(1−cos θ).
Answer» Simplify $(c o s e c θ + c o t θ) \times (1 - c o s θ) .$

Discussion

12105.	Which of the following is the correct expression for cos θcosec θ+1+cos θcosec θ−1?
Answer» Which of the following is the correct expression for $\frac{cos θ}{cosec θ + 1} + \frac{cos θ}{cosec θ - 1}$ ?

Discussion

12106.	The possible values of x2+4 lie in the interval
Answer» The possible values of $x^{2} + 4$ lie in the interval

Discussion

12107.	If sec θ=135,show that 2 sin θ−3 cos θ4 sin θ−9 cos θ=3
Answer» If sec $θ = \frac{13}{5}$ ,show that $\frac{2 s i n θ - 3 c o s θ}{4 s i n θ - 9 c o s θ} = 3$

Discussion

12108.	Find the equation of circle circumscribing the quadrilateral formed by four lines 3x + 4y − 5 = 0, 4x − 3y − 5 = 0, 3x + 4y + 5 = 0 and 4x − 3y + 5 = 0
Answer» Find the equation of circle circumscribing the quadrilateral formed by four lines $3 x + 4 y - 5 = 0$ , $4 x - 3 y - 5 = 0$ , $3 x + 4 y + 5 = 0$ and $4 x - 3 y + 5 = 0$

Discussion

12109.	If ∆ABC ~ ∆DEF, AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, then the perimeter of ∆ABC is __________.
Answer» If ∆ABC ~ ∆DEF, AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, then the perimeter of ∆ABC is __________.

Discussion

12110.

The following purchases were made by M/s. B.K Gupta, Kolkata, during the month of April, 2018. Prepare Purchases Book and post them in the Ledger Accounts: 2018 April 8 Purchased on credit from Subodh Brothers, Delhi: 5 chests of tea ₹ 7,000 per chest at a Trade Discount of 10% plus IGST 12% and packing and other charges ₹ 500. April 12 Purchased in cash 20 boxes of tea ₹ 500 per box at a Trade Discount of 10% plus CGST and SGST 6% each. April 18 Purchased on credit 3 show cases ₹ 7,500 per case from Raj Furnishing House at a Trade Discount of 10% plus CGST and SGST 6% each. April 20 Purchased on credit 15 boxes of tea ₹ 600 per box at a Trade Discount of 10% from Siliguri Tea Agency, Siliguri, West Bengal plus CGST and SGST 6% each and packing and other charges ₹ 50. April 25 Purchased 5 kgs of Special Green Tea on credit from Darjeeling Tea House, Darjeeling, West Bengal ₹ 500 per kg at a Trade Discount of 10% plus CGST and SGST 6% each for household consumption of proprietor.

Answer» The following purchases were made by M/s. B.K Gupta, Kolkata, during the month of April, 2018. Prepare Purchases Book and post them in the Ledger Accounts:

2018
April 8	Purchased on credit from Subodh Brothers, Delhi: 5 chests of tea ₹ 7,000 per chest at a Trade Discount of 10% plus IGST 12% and packing and other charges ₹ 500.
April 12	Purchased in cash 20 boxes of tea ₹ 500 per box at a Trade Discount of 10% plus CGST and SGST 6% each.
April 18	Purchased on credit 3 show cases ₹ 7,500 per case from Raj Furnishing House at a Trade Discount of 10% plus CGST and SGST 6% each.
April 20	Purchased on credit 15 boxes of tea ₹ 600 per box at a Trade Discount of 10% from Siliguri Tea Agency, Siliguri, West Bengal plus CGST and SGST 6% each and packing and other charges ₹ 50.
April 25	Purchased 5 kgs of Special Green Tea on credit from Darjeeling Tea House, Darjeeling, West Bengal ₹ 500 per kg at a Trade Discount of 10% plus CGST and SGST 6% each for household consumption of proprietor.

Discussion

12111.	If two opposite vertices of a square are (5,4) and (1. -6). Find the coordinates of it's remaining vertices.
Answer» If two opposite vertices of a square are (5,4) and (1. -6). Find the coordinates of it's remaining vertices.

Discussion

12112.	Which of the following number line represents the solution of the inequation:2+4x<2x−5≤3x; x∈Z.
Answer» Which of the following number line represents the solution of the inequation: $2 + 4 x < 2 x - 5 \leq 3 x; x \in Z$ .

Discussion

12113.	The following table gives the distribution of the life time of 400 neon lamps:Lite time:(in hours)Number of lamps1500−2000142000−2500562500−3000603000−3500863500−4000744000−4500624500−500048Find the median life.
Answer» The following table gives the distribution of the life time of 400 neon lamps: $\begin{matrix} Lite time : (in hours) & Number of lamps 1500 - 2000 & 14 2000 - 2500 & 56 2500 - 3000 & 60 3000 - 3500 & 86 3500 - 4000 & 74 4000 - 4500 & 62 4500 - 5000 & 48 \end{matrix}$ Find the median life.

Discussion

12114.	2. If the perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find the area of sector.
Answer» 2. If the perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find the area of sector.

Discussion

12115.	In each of the following, find the value of k for which the given value is a solution of the given equation:(i) 7x2+kx-3=0, x=23(ii) x2-xa+b+k=0, x=a(iii) kx2+2x-4=0, x=2(iv) x2+3ax+k=0, x=-a
Answer» In each of the following, find the value of k for which the given value is a solution of the given equation: (i) $7 x^{2} + k x - 3 = 0, x = \frac{2}{3}$ (ii) $x^{2} - x (a + b) + k = 0, x = a$ (iii) $k x^{2} + \sqrt{2} x - 4 = 0, x = \sqrt{2}$ (iv) $x^{2} + 3 a x + k = 0, x = - a$

Discussion

12116.

Chakravarti does not maintain proper books of accounts. Following information is obtained from his books for the year ended 31st March, 2008:Cash Transactions: ₹ ₹ Received from Debtors 72,000 Staff Salary 4,500 Paid to Creditors 56,000 Wages 15,000 Drawings 5,000 Office Expenses 2,000 Received from Cash Sales 30,000 Rent 3,500 Life Insurance Premium 800 Cash in hand on 31-3-2008 16,700 Assets and Liabilities: 1-4-2007 ₹ 31-3-2008 ₹ Debtors 24,000 56,000 Creditors 30,000 40,000 Outstanding Salaries 500 450 Outstanding Wages 1,000 1,200 The Stock on 31st March, 2008 was valued at ₹ 20,000 but Chakravarti has no record of the Stock on 1st April, 2007. However, he informs you that he sells his goods at cost plus 25%.Prepare his Cash Book, Trading and P & L A/c for the year ended 31st March, 2008 and a Balance Sheet as at that date.

Answer» Chakravarti does not maintain proper books of accounts. Following information is obtained from his books for the year ended 31st March, 2008:

Cash Transactions:

	₹		₹
Received from Debtors	72,000	Staff Salary	4,500
Paid to Creditors	56,000	Wages	15,000
Drawings	5,000	Office Expenses	2,000
Received from Cash Sales	30,000	Rent	3,500
Life Insurance Premium	800	Cash in hand on 31-3-2008	16,700

Assets and Liabilities:

	1-4-2007 ₹	31-3-2008 ₹
Debtors	24,000	56,000
Creditors	30,000	40,000
Outstanding Salaries	500	450
Outstanding Wages	1,000	1,200

The Stock on 31st March, 2008 was valued at ₹ 20,000 but Chakravarti has no record of the Stock on 1st April, 2007. However, he informs you that he sells his goods at cost plus 25%.

Prepare his Cash Book, Trading and P & L A/c for the year ended 31st March, 2008 and a Balance Sheet as at that date.

Discussion

12117.	Find the sum of first 12 natural numbers without using the formula or by adding terms directly.
Answer» Find the sum of first 12 natural numbers without using the formula or by adding terms directly.

Discussion

12118.	Question 41(i)A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is not red?
Answer» Question 41(i) A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is not red?

Discussion

12119.	In the given figure, ∆AMB ∼ ∆CMD; determine MD in terms of x, y and z.
Answer» In the given figure, ∆AMB ∼ ∆CMD; determine MD in terms of x, y and z.

Discussion

12120.	Short-Answer QuestionsSolve: 43x2+5x-23=0 [CBSE 2013]
Answer» Short-Answer Questions Solve: $4 \sqrt{3} x^{2} + 5 x - 2 \sqrt{3} = 0$ [CBSE 2013]

Discussion

12121.	Question 90 (iii)Factorise the following, using the identity, a2−2ab+b2=(a−b)2.y2−14y+49
Answer» Question 90 (iii) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ . $y^{2} - 14 y + 49$

Discussion

12122.	If tan A-B=13 and tan A+B=3, 0° < A+B≤90°, A>B find A and B.
Answer» If $\tan (A - B) = \frac{1}{\sqrt{3}} and \tan (A + B) = \sqrt{3}, 0 ° < A + B \leq 90 °, A > B$ find A and B.

Discussion

12123.	119.Find out the frequency of AabbCcDdee if parents are AabbCCdEe and AabbccDdee (1) 0.78% (2) 12.5% (3) 25% (4) 50%
Answer» 119.Find out the frequency of AabbCcDdee if parents are AabbCCdEe and AabbccDdee (1) 0.78% (2) 12.5% (3) 25% (4) 50%

Discussion

12124.	A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm. AP and AQ are the tangents to the circle at P and Q. If a tangent BC is drawn at a point R lying on the minor PQ to intersect AP at B and AQ at C, find the perimeter of the ΔABC.
Answer» A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm. AP and AQ are the tangents to the circle at P and Q. If a tangent BC is drawn at a point R lying on the minor PQ to intersect AP at B and AQ at C, find the perimeter of the $Δ A B C$ .

Discussion

12125.	Solve the following differential equations:(i) xydydx=1+x+y+xy(ii) y1-x2dydx=x1+y2(iii) yexydx=xexy+y2dy, y≠0(iv) 1+y2tan-1xdx+2y1+x2dy=0
Answer» Solve the following differential equations: (i) $x y \frac{d y}{d x} = 1 + x + y + x y$ (ii) $y (1 - x^{2}) \frac{d y}{d x} = x (1 + y^{2})$ (iii) $y e^{\frac{x}{y}} d x = (x e^{\frac{x}{y}} + y^{2}) d y, y \neq 0$ (iv) $(1 + y^{2}) \tan^{- 1} x d x + 2 y (1 + x^{2}) d y = 0$

Discussion

12126.	Prove that sinθ-2sin3θ=2cos3θ-cosθtanθ
Answer» Prove that $(\sin θ - 2 \sin^{3} θ) = (2 \cos^{3} θ - \cos θ) \tan θ$

Discussion

12127.	In an equilateral triangle ABC, AN ⊥ BC. Prove that AN2 = 3BN2.
Answer» In an equilateral triangle ABC, AN ⊥ BC. Prove that AN² = 3BN².

Discussion

12128.	The following is the distribution of total household expenditure (in Rs.) of manul worker in a city: Expenditure (in Rs)100−150150−200200−250250−300300−350350−400400−450150−500No. of manual workers254033283022168 Draw a histogram and a frequency polygon represinting the above data.
Answer» The following is the distribution of total household expenditure (in Rs.) of manul worker in a city: $\begin{matrix} Expenditure (in Rs) & 100 - 150 & 150 - 200 & 200 - 250 & 250 - 300 & 300 - 350 & 350 - 400 & 400 - 450 & 150 - 500 No. of manual workers & 25 & 40 & 33 & 28 & 30 & 22 & 16 & 8 \end{matrix}$ Draw a histogram and a frequency polygon represinting the above data.

12128.

The following is the distribution of total household expenditure (in Rs.) of manul worker in a city: Expenditure (in Rs)100−150150−200200−250250−300300−350350−400400−450150−500No. of manual workers254033283022168 Draw a histogram and a frequency polygon represinting the above data.

Answer»

The following is the distribution of total household expenditure (in Rs.) of manul worker in a city:

$\begin{matrix} Expenditure (in Rs) & 100 - 150 & 150 - 200 & 200 - 250 & 250 - 300 & 300 - 350 & 350 - 400 & 400 - 450 & 150 - 500 No. of manual workers & 25 & 40 & 33 & 28 & 30 & 22 & 16 & 8 \end{matrix}$

Draw a histogram and a frequency polygon represinting the above data.

Discussion

12129.	If the sum of the first 20 terms of the series log(71/2)x+log(71/3)x+log(71/4)x+... is 460, then x is equal to :
Answer» If the sum of the first $20$ terms of the series ${log}_{(7^{1 / 2})} x + {log}_{(7^{1 / 3})} x + {log}_{(7^{1 / 4})} x + . . .$ is $460$ , then $x$ is equal to :

Discussion

12130.	If f(x) = 14x2+2x+1, then its maximum value is ______________.
Answer» If f(x) = $\frac{1}{4 x^{2} + 2 x + 1},$ then its maximum value is ______________.

Discussion

12131.	consider the letters of the word ENGINEERING.find the number of permutations such that Es and Ns come alternatively(need not to be consecutive)
Answer» consider the letters of the word ENGINEERING.find the number of permutations such that Es and Ns come alternatively(need not to be consecutive)

Discussion

12132.	The length of an arc of the sector of angle θ° of a circle with radius R is(a) 2πRθ180(b) 2πRθ360(c) πR2θ180(d) πR2θ360
Answer» The length of an arc of the sector of angle $θ °$ of a circle with radius R is (a) $\frac{2 π R θ}{180}$ (b) $\frac{2 π R θ}{360}$ (c) $\frac{π R^{2} θ}{180}$ (d) $\frac{π R^{2} θ}{360}$

Discussion

12133.	A survey was done in a Housing Society where the number of Vehicles were categorized according to their Mileage.The Graph Given shows the Histogram for the Mileage vs The number of vehicles present.Draw the frequency distribution table for the given Graph?
Answer» A survey was done in a Housing Society where the number of Vehicles were categorized according to their Mileage. The Graph Given shows the Histogram for the Mileage vs The number of vehicles present. Draw the frequency distribution table for the given Graph?

12133.

A survey was done in a Housing Society where the number of Vehicles were categorized according to their Mileage.The Graph Given shows the Histogram for the Mileage vs The number of vehicles present.Draw the frequency distribution table for the given Graph?

Answer»

A survey was done in a Housing Society where the number of Vehicles were categorized according to their Mileage.

The Graph Given shows the Histogram for the Mileage vs The number of vehicles present.

Draw the frequency distribution table for the given Graph?

Discussion

12134.	37. A man of height 2 metre walks at uniform speed 5 km/hr away from a lamp post which in 6 m high .Find the rate at which the length of his shadow increases ,and at what rate his tip of shadow moving ?
Answer» 37. A man of height 2 metre walks at uniform speed 5 km/hr away from a lamp post which in 6 m high .Find the rate at which the length of his shadow increases ,and at what rate his tip of shadow moving ?

Discussion

12135.	In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees that each section of each class will plant will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by students. Which value is shown in the question? [CBSE 2014]
Answer» In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees that each section of each class will plant will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by students. Which value is shown in the question? [CBSE 2014]

Discussion

12136.	Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on different days?
Answer» Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on different days?

Discussion

12137.	Find the sum of all three - digit natural numbers which are divisible by 13.
Answer» Find the sum of all three - digit natural numbers which are divisible by 13.

Discussion

12138.	Find the values / conditions of 'k' for which the given system of linera equations Kx+8y=k-28x+My=k has (i) No Solution(ii) A unique solution.
Answer» Find the values / conditions of 'k' for which the given system of linera equations Kx+8y=k-2 8x+My=k has (i) No Solution (ii) A unique solution.

Discussion

12139.	A father's age is three times the sum of the ages of his two children. After 5 years, his age will be two times the sum of their ages. Find the present age of the father.
Answer» A father's age is three times the sum of the ages of his two children. After 5 years, his age will be two times the sum of their ages. Find the present age of the father.

Discussion

12140.	From the following data, find the median age of 100 residents of a colony who took part in Swachh Bharat Abhiyan: Age(in yrs.) MoreNo. of residentsthan or equal to0501046204030204010503
Answer» From the following data, find the median age of $100$ residents of a colony who took part in Swachh Bharat Abhiyan: $\begin{matrix} Age(in yrs.) More & No. of residents than or equal to 0 & 50 10 & 46 20 & 40 30 & 20 40 & 10 50 & 3 \end{matrix}$

Discussion

12141.	limx→1 (x-1)(2x-3)2x2 + x-3 is(a) 110 (b) -110 (c) 1 (d) none of these
Answer» $\lim_{x \to 1} \frac{(\sqrt{x} - 1) (2 x - 3)}{2 x^{2} + x - 3} is$ $(a) \frac{1}{10} (b) - \frac{1}{10}$ (c) 1 (d) none of these

Discussion

12142.	ABCD is a rectangle with angle BAC=32°. Determine angle DBC
Answer» ABCD is a rectangle with angle BAC=32°. Determine angle DBC

Discussion

12143.	Question 1 (i) Which of the following form an AP? Justify your answer. –1, –1, –1, –1, ……
Answer» Question 1 (i) Which of the following form an AP? Justify your answer. –1, –1, –1, –1, ……

Discussion

12144.	A king has 3 children. The first born is a son. What is the probability that the king has 3 sons
Answer» A king has 3 children. The first born is a son. What is the probability that the king has 3 sons

Discussion

12145.	The distance between two places A and B on road is 70 kilometers. A car starts from A and the other from B. If they travel in the same direction, they will meet after 7 hours. If they travel towards each other they will meet after 1 hour, then find their speeds.
Answer» The distance between two places A and B on road is 70 kilometers. A car starts from A and the other from B. If they travel in the same direction, they will meet after 7 hours. If they travel towards each other they will meet after 1 hour, then find their speeds.

Discussion

12146.	Question 3What type of quadrilateral do the points A(2,-2), B(7,3) C(11,-1) and D(6,-6) taken in that order form?
Answer» Question 3 What type of quadrilateral do the points A(2,-2), B(7,3) C(11,-1) and D(6,-6) taken in that order form?

Discussion

12147.	Complete the missing entries in the following factor tree.
Answer» Complete the missing entries in the following factor tree.

Discussion

12148.	What is the graph of a linear equation in 2 variables?
Answer» What is the graph of a linear equation in 2 variables?

Discussion

12149.	Zeroes of x2−56x+108 are______.
Answer» $Zeroes of x^{2} - 56 x + 108 are$ ______.

Discussion

12150.	The area in cm2 of a quadrant of a circle whose circumference is 22 cm is _______
Answer» The area in $c m^{2}$ of a quadrant of a circle whose circumference is 22 cm is _______

Discussion

Explore topic-wise InterviewSolutions in .

Find the 8th term of the sequence : 34, 112, 3,............. .

If (x−1) is a factor of ax3−bx2+cx, then the value of a3−b3+c3 is .

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.

Simplify (cosec θ+cot θ)×(1−cos θ).

Which of the following is the correct expression for cos θcosec θ+1+cos θcosec θ−1?

The possible values of x2+4 lie in the interval

If sec θ=135,show that 2 sin θ−3 cos θ4 sin θ−9 cos θ=3

Find the equation of circle circumscribing the quadrilateral formed by four lines 3x + 4y − 5 = 0, 4x − 3y − 5 = 0, 3x + 4y + 5 = 0 and 4x − 3y + 5 = 0

If ∆ABC ~ ∆DEF, AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, then the perimeter of ∆ABC is __________.

If two opposite vertices of a square are (5,4) and (1. -6). Find the coordinates of it's remaining vertices.

Which of the following number line represents the solution of the inequation:2+4x&lt;2x−5≤3x; x∈Z.

The following table gives the distribution of the life time of 400 neon lamps:Lite time:(in hours)Number of lamps1500−2000142000−2500562500−3000603000−3500863500−4000744000−4500624500−500048Find the median life.

2. If the perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find the area of sector.

In each of the following, find the value of k for which the given value is a solution of the given equation:(i) 7x2+kx-3=0, x=23(ii) x2-xa+b+k=0, x=a(iii) kx2+2x-4=0, x=2(iv) x2+3ax+k=0, x=-a

Find the sum of first 12 natural numbers without using the formula or by adding terms directly.

Question 41(i)A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is not red?

In the given figure, ∆AMB ∼ ∆CMD; determine MD in terms of x, y and z.

Short-Answer QuestionsSolve: 43x2+5x-23=0 [CBSE 2013]

Question 90 (iii)Factorise the following, using the identity, a2−2ab+b2=(a−b)2.y2−14y+49

If tan A-B=13 and tan A+B=3, 0° &lt; A+B≤90°, A&gt;B find A and B.

119.Find out the frequency of AabbCcDdee if parents are AabbCCdEe and AabbccDdee (1) 0.78% (2) 12.5% (3) 25% (4) 50%

A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm. AP and AQ are the tangents to the circle at P and Q. If a tangent BC is drawn at a point R lying on the minor PQ to intersect AP at B and AQ at C, find the perimeter of the ΔABC.

Solve the following differential equations:(i) xydydx=1+x+y+xy(ii) y1-x2dydx=x1+y2(iii) yexydx=xexy+y2dy, y≠0(iv) 1+y2tan-1xdx+2y1+x2dy=0

Prove that sinθ-2sin3θ=2cos3θ-cosθtanθ

In an equilateral triangle ABC, AN ⊥ BC. Prove that AN2 = 3BN2.

The following is the distribution of total household expenditure (in Rs.) of manul worker in a city: Expenditure (in Rs)100−150150−200200−250250−300300−350350−400400−450150−500No. of manual workers254033283022168 Draw a histogram and a frequency polygon represinting the above data.

If the sum of the first 20 terms of the series log(71/2)x+log(71/3)x+log(71/4)x+... is 460, then x is equal to :

If f(x) = 14x2+2x+1, then its maximum value is ______________.

consider the letters of the word ENGINEERING.find the number of permutations such that Es and Ns come alternatively(need not to be consecutive)

The length of an arc of the sector of angle θ° of a circle with radius R is(a) 2πRθ180(b) 2πRθ360(c) πR2θ180(d) πR2θ360

A survey was done in a Housing Society where the number of Vehicles were categorized according to their Mileage.The Graph Given shows the Histogram for the Mileage vs The number of vehicles present.Draw the frequency distribution table for the given Graph?

37. A man of height 2 metre walks at uniform speed 5 km/hr away from a lamp post which in 6 m high .Find the rate at which the length of his shadow increases ,and at what rate his tip of shadow moving ?

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on different days?

Find the sum of all three - digit natural numbers which are divisible by 13.

Find the values / conditions of 'k' for which the given system of linera equations Kx+8y=k-28x+My=k has (i) No Solution(ii) A unique solution.

A father's age is three times the sum of the ages of his two children. After 5 years, his age will be two times the sum of their ages. Find the present age of the father.

From the following data, find the median age of 100 residents of a colony who took part in Swachh Bharat Abhiyan: Age(in yrs.) MoreNo. of residentsthan or equal to0501046204030204010503

limx→1 (x-1)(2x-3)2x2 + x-3 is(a) 110 (b) -110 (c) 1 (d) none of these

ABCD is a rectangle with angle BAC=32°. Determine angle DBC

Question 1 (i) Which of the following form an AP? Justify your answer. –1, –1, –1, –1, ……

A king has 3 children. The first born is a son. What is the probability that the king has 3 sons

The distance between two places A and B on road is 70 kilometers. A car starts from A and the other from B. If they travel in the same direction, they will meet after 7 hours. If they travel towards each other they will meet after 1 hour, then find their speeds.

Question 3What type of quadrilateral do the points A(2,-2), B(7,3) C(11,-1) and D(6,-6) taken in that order form?

Complete the missing entries in the following factor tree.

What is the graph of a linear equation in 2 variables?

Zeroes of x2−56x+108 are______.

The area in cm2 of a quadrant of a circle whose circumference is 22 cm is _______

Which of the following number line represents the solution of the inequation:2+4x<2x−5≤3x; x∈Z.

If tan A-B=13 and tan A+B=3, 0° < A+B≤90°, A>B find A and B.