32581 + Interview Questions in Mathematics Page 117 InterviewSolution

5801.	The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30∘. Find the height of the tower. [2 MARKS]
Answer» The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is $30^{\circ}$ . Find the height of the tower. [2 MARKS]

Discussion

5802.	A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cmand its base is of radius 3.5 cm, then find the volume of wood in the toy. [CBSE 2013]
Answer» A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, then find the volume of wood in the toy. [CBSE 2013]

Discussion

5803.	Question 6 (iii) The volume of a right circular cone is 9856cm3. If the diameter of the base is 28cm, find: (iii) curved surface area of the cone. [Assume π=227]
Answer» Question 6 (iii) The volume of a right circular cone is $9856 c m^{3}$ . If the diameter of the base is 28cm, find: (iii) curved surface area of the cone. $[A s s u m e π = \frac{22}{7}]$

Discussion

5804.	In the morning assembly of a school, 480 students are standing in rows and columns. If there are 4 more students in each row than the number of students in each column, then find the number of students in each row.
Answer» In the morning assembly of a school, 480 students are standing in rows and columns. If there are 4 more students in each row than the number of students in each column, then find the number of students in each row.

Discussion

5805.	A father wants to divide 1800 rupees among his sons in the ratio of their ages. Of the two sons, one is 12 years old while the other is 15 years old. Their respective shares would be
Answer» A father wants to divide 1800 rupees among his sons in the ratio of their ages. Of the two sons, one is 12 years old while the other is 15 years old. Their respective shares would be

Discussion

5806.	If 3 tan θ = 4, find the value of 4 cos θ-sin θ2 cos θ+sin θ.
Answer» If 3 tan θ = 4, find the value of $\frac{4 \cos θ - \sin θ}{2 \cos θ + \sin θ}$ .

Discussion

5807.	Determine whether the graph is a function using vertical line test.
Answer» Determine whether the graph is a function using vertical line test.

5807.

Determine whether the graph is a function using vertical line test.

Answer»

Determine whether the graph is a function using vertical line test.

Discussion

5808.	Let n(A−B)=25+x, n(B−A)=2x and n(A∩B)=2x. If n(A)=2(n(B)) then 'x' is
Answer» Let $n (A - B) = 25 + x$ , $n (B - A) = 2 x$ and $n (A \cap B) = 2 x$ . If $n (A) = 2 (n (B))$ then ' $x$ ' is

Discussion

5809.	Question 2 Which of the following is not a quadratic equation? (a) 2(x−1)2=4x2−2x+1 (b) 2x−x2=x2+5 (c) (√2x+√3)3=3x2−5x (d) (x2+2x)2=x4+3+4x2
Answer» Question 2 Which of the following is not a quadratic equation? (a) $2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$ (b) $2 x - x^{2} = x^{2} + 5$ (c) ${(\sqrt{2} x + \sqrt{3})}^{3} = 3 x^{2} - 5 x$ (d) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{2}$

Discussion

5810.	How many chords can be drawn through 10 points on a circle?
Answer» How many chords can be drawn through 10 points on a circle?

Discussion

5811.	The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
Answer» The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.

Discussion

5812.

From the following Trial Balance of Mr. Gaurav and additional information given, prepare Trading and Profit and Loss Account for the year ended 31st March,2018 and Balance Sheet as at 31st March, 2018: Particulars Dr. (₹) Cr. (₹) Opening Stock 62,500 Capital 4,66,000 Debtors 75,000 Creditors 43,750 Purchases 5,00,000 Sales 8,75,000 Carriage 10,000 Wages and Salaries 10,000 Commission 16,750 Machinery 1,38,750 Furniture 25,000 Bad Debts Recovered 8,000 Bills Receivable 37,500 Bills Payable 33,750 Land and Building 5,00,000 Insurance 21,250 10% Bank Load 50,000 Interest on Bank Loan 3,000 Bank 24,500 Drawings 62,500 Input CGST 15,000 Input SGST 15,000 Input IGST 10,000 Output CGST 19,000 Output SGST 19,000 Total 15,31,250 15,31,250 Adjustments:(i) Value of the Closing Stock as on 31st March, 2018 is ₹50,000.(ii) Wages and Salaries outstanding are ₹12,500 and Insurance prepaid is ₹5,000.(iii) Depreciate Machinery and Furniture 10% and 15% p.a. respectively. Machinery included a machine which was purchased for ₹38,500 on 30th September, 2017.(iv) Goods costing ₹ 10,000 were taken by the proprietor for his personal use but no entry has been made in the books of account. These goods were purchased paying IGST 18%.

Answer» From the following Trial Balance of Mr. Gaurav and additional information given, prepare Trading and Profit and Loss Account for the year ended 31st March,2018 and Balance Sheet as at 31st March, 2018:


Particulars	Dr. (₹)	Cr. (₹)
Opening Stock	62,500
Capital		4,66,000
Debtors	75,000
Creditors		43,750
Purchases	5,00,000
Sales		8,75,000
Carriage	10,000
Wages and Salaries	10,000
Commission		16,750
Machinery	1,38,750
Furniture	25,000
Bad Debts Recovered		8,000
Bills Receivable	37,500
Bills Payable		33,750
Land and Building	5,00,000
Insurance	21,250
10% Bank Load		50,000
Interest on Bank Loan	3,000
Bank	24,500
Drawings	62,500
Input CGST	15,000
Input SGST	15,000
Input IGST	10,000
Output CGST		19,000
Output SGST		19,000
Total	15,31,250	15,31,250

Adjustments:

(i) Value of the Closing Stock as on 31st March, 2018 is ₹50,000.

(ii) Wages and Salaries outstanding are ₹12,500 and Insurance prepaid is ₹5,000.

(iii) Depreciate Machinery and Furniture 10% and 15% p.a. respectively. Machinery included a machine which was purchased for ₹38,500 on 30th September, 2017.

(iv) Goods costing ₹ 10,000 were taken by the proprietor for his personal use but no entry has been made in the books of account. These goods were purchased paying IGST 18%.

Discussion

5813.	The plane which bisects the line joining the points (4,−2,3) and (2,4,−1) at right angles also passes through the point:
Answer» The plane which bisects the line joining the points $(4, - 2, 3)$ and $(2, 4, - 1)$ at right angles also passes through the point:

Discussion

5814.	Prove the following trigonometric identities.(cosecA − sinA) (secA − cosA) (tanA + cotA) = 1
Answer» Prove the following trigonometric identities. (cosecA − sinA) (secA − cosA) (tanA + cotA) = 1

Discussion

5815.	Ramkali required Rs 2,500 after 12 weeks to send her daughter to school. She saved Rs 100 in the first week and increased her weekly savings by Rs 20 every week. Find whether she will be able to send her daughter to school after 12 weeks.What value is generated in the above situation?
Answer» Ramkali required Rs 2,500 after 12 weeks to send her daughter to school. She saved Rs 100 in the first week and increased her weekly savings by Rs 20 every week. Find whether she will be able to send her daughter to school after 12 weeks.What value is generated in the above situation?

Discussion

5816.	Prove that 2+3 is an irrational number, given that 3 is an irrational number.
Answer» Prove that $(2 + \sqrt{3})$ is an irrational number, given that $\sqrt{3}$ is an irrational number.

Discussion

5817.	A shopkeeper marks his goods 20% above cost price. If he allows 30% discount for cash payment, then what is the percentage loss?
Answer» A shopkeeper marks his goods $20 %$ above cost price. If he allows $30 %$ discount for cash payment, then what is the percentage loss?

Discussion

5818.	An airplane when flying at a height of 4000 m from the ground passes vertically below another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60∘ and 45∘ respectively. Find the distance between the two planes at that instant.
Answer» An airplane when flying at a height of $4000 m$ from the ground passes vertically below another plane at an instant when the angles of elevation of the two planes from the same point on the ground are $60^{\circ}$ and $45^{\circ}$ respectively. Find the distance between the two planes at that instant.

Discussion

5819.	A test tube has radius 2.1 cm and height 16.1 cm. Volume of the test tube is .
Answer» A test tube has radius 2.1 cm and height 16.1 cm. Volume of the test tube is .

Discussion

5820.	Find the point at which the line represented by the equation 6x+5y=9, intersects the x-axis.
Answer» Find the point at which the line represented by the equation $6 x + 5 y = 9,$ intersects the x-axis.

Discussion

5821.	If p, q are prime positive integers, prove that √p+√q is an irrational number.
Answer» If p, q are prime positive integers, prove that $\sqrt{p} + \sqrt{q}$ is an irrational number.

Discussion

5822.	Réponds en utilisant 'y':1.Penses-tu à tes vacances ? Oui, ..........................2. Va-t-il chez son cousin ? Oui, ..........................3. S'est-il caché derrière l'arbre ? Non, ..........................4. Seront-ils dans leur chambre ? Oui, ...........................
Answer» Réponds en utilisant 'y': 1.Penses-tu à tes vacances ? Oui, .......................... 2. Va-t-il chez son cousin ? Oui, .......................... 3. S'est-il caché derrière l'arbre ? Non, .......................... 4. Seront-ils dans leur chambre ? Oui, ...........................

Discussion

5823.	Number of solution of the equation: Log x=x(where, Base of the log is 1.1)
Answer» Number of solution of the equation: Log x=x(where, Base of the log is 1.1)

Discussion

5824.	The probability of a day being rainy is 0.75, then the probability of it not being a rainy day is .
Answer» The probability of a day being rainy is 0.75, then the probability of it not being a rainy day is .

Discussion

5825.	Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on:(i) the same day?(ii) Different days?(iii) consecutive days?
Answer» Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on: (i) the same day? (ii) Different days? (iii) consecutive days?

Discussion

5826.

Draw an ogive to represent the following frequency distribution: Class-interval: 0−4 5−9 10−14 15−19 20−24 Frequency: 2 6 10 5 3

Answer» Draw an ogive to represent the following frequency distribution:

Class-interval:	0−4	5−9	10−14	15−19	20−24
Frequency:	2	6	10	5	3

Discussion

5827.	Which of the following cases will not lead to non trivial solutions in case of system of linear equations according to Cramer's rule Convention given D != 0 ?
Answer» Which of the following cases will not lead to non trivial solutions in case of system of linear equations according to Cramer's rule Convention given D != 0 ?

Discussion

5828.	If the coordinates of the mid-points of the sides of a triangle be (3, −2), (−3, 1) and (4, −3), then find the coordinates of its vertices.
Answer» If the coordinates of the mid-points of the sides of a triangle be (3, −2), (−3, 1) and (4, −3), then find the coordinates of its vertices.

Discussion

5829.

Without Goods and Services Tax (GST)Enter the following transactions of Mr. Ripinder, Delhi in a Single Column Cash Book and balance it: 2018 ₹ Jan 1 Ripinder started business with capital 2,00,000 Jan 2 Purchased furniture for cash 50,000 Jan 3 Purchased goods for cash 30,000 Jan 5 Paid freight 500 Jan 7 Sold goods for cash 28,000 Jan 10 Paid to Ramesh 20,000 Jan 15 Sold goods for cash 10,000 Jan 20 Paid wages 10,000 Jan 25 Purchased goods from Raj on credit 20,000 Jan 31 Paid rent by Cheque 5,000

Answer» Without Goods and Services Tax (GST)

Enter the following transactions of Mr. Ripinder, Delhi in a Single Column Cash Book and balance it:


2018		₹
Jan 1	Ripinder started business with capital	2,00,000
Jan 2	Purchased furniture for cash	50,000
Jan 3	Purchased goods for cash	30,000
Jan 5	Paid freight	500
Jan 7	Sold goods for cash	28,000
Jan 10	Paid to Ramesh	20,000
Jan 15	Sold goods for cash	10,000
Jan 20	Paid wages	10,000
Jan 25	Purchased goods from Raj on credit	20,000
Jan 31	Paid rent by Cheque	5,000

Discussion

5830.	5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from outside. If a glass is chosen at random, what is the probability that the chosen glass is good?0.8
Answer» 5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from outside. If a glass is chosen at random, what is the probability that the chosen glass is good? 0.8

Discussion

5831.	If the distance between the points (4, p) and (1, 0) is 5, then p=___
Answer» If the distance between the points (4, p) and (1, 0) is 5, then p=___

Discussion

5832.	40. The nth term of an A.P is (an=2n+1), find its sum?
Answer» 40. The nth term of an A.P is (an=2n+1), find its sum?

Discussion

5833.	Question 2 (iii)E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF \|\| QR.(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.63 cm
Answer» Question 2 (iii) E and F are points on the sides PQ and PR respectively of a $Δ P Q R$ . For the following case, state whether EF \|\| QR. (iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.63 cm

Discussion

5834.	From an equilatera triangular plate of side ′a′, a square plate of maximum size has to be cut. THe side of such a square plate is:
Answer» From an equilatera triangular plate of side $^{'} a^{'}$ , a square plate of maximum size has to be cut. THe side of such a square plate is:

Discussion

5835.	The ratio in which the point (8, 7) divides the line segment joining the points (283,223) and (203,203) is k:1. The value of k is _
Answer» The ratio in which the point (8, 7) divides the line segment joining the points $(\frac{28}{3}, \frac{22}{3}) a n d (\frac{20}{3}, \frac{20}{3})$ is k:1. The value of k is _

Discussion

5836.	A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between the two vessels is filled with cork dust for heat insulation purposes. How many cubic centimeters of cork dust will be required?
Answer» A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between the two vessels is filled with cork dust for heat insulation purposes. How many cubic centimeters of cork dust will be required?

Discussion

5837.	A quadrilateral ABCD is drawn to circumscribe a circle. Prove that sums of opposite sides are equal.
Answer» A quadrilateral ABCD is drawn to circumscribe a circle. Prove that sums of opposite sides are equal.

Discussion

5838.	Given that:(1 + cos α) (1 + cos β) (1 + cos γ) = (1 − cos α) (1 − cos α) (1 − cos β) (1 − cos γ)Show that one of the values of each member of this equality is sin α sin β sin γ
Answer» Given that: (1 + cos α) (1 + cos β) (1 + cos γ) = (1 − cos α) (1 − cos α) (1 − cos β) (1 − cos γ) Show that one of the values of each member of this equality is sin α sin β sin γ

Discussion

5839.	Question 7Explain why 3×5×7+7 is a composite number.
Answer» Question 7 Explain why $3 \times 5 \times 7 + 7$ is a composite number.

Discussion

5840.	A circular park is surroundeed by a rod 21 m wide. If the radius of the park is 105 m, find the area of the road .
Answer» A circular park is surroundeed by a rod 21 m wide. If the radius of the park is 105 m, find the area of the road .

Discussion

5841.	The next term of the following series is 50,120,170,288,362,?
Answer» The next term of the following series is 50,120,170,288,362,?

Discussion

5842.	State the AA-similarity criterion.
Answer» State the AA-similarity criterion.

Discussion

5843.	In a rectangle ABCD, AB = 20 cm, ∠BAC = 60o, calculate side BC and diagonals AC and BD.
Answer» In a rectangle ABCD, AB = 20 cm, $∠ B A C = 60^{o}$ , calculate side BC and diagonals AC and BD.

Discussion

5844.	What is the diameter (in cm) of a sphere whose surface area is 616 cm2?
Answer» What is the diameter (in cm) of a sphere whose surface area is 616 ${cm}^{2}$ ?

Discussion

5845.	Prove that The lines 2x+y=2, x+2y=1 and x+y=1 pass through the same point.
Answer» Prove that The lines $2 x + y = 2$ , $x + 2 y = 1$ and $x + y = 1$ pass through the same point.

Discussion

5846.	Two traingles DEF and GHK are such that ∠D = 48∘and ∠H = 57∘ . If △DEF ∼ △GHK, then find the measure of ∠F.
Answer» Two traingles DEF and GHK are such that ∠D = 48^∘and ∠H = 57^∘ . If △DEF ∼ △GHK, then find the measure of ∠F.

Discussion

5847.	A cylindrical road roller made of iron is 1 m long, Its internal diameter is 54 cm and the thickness of the iron sheet used in making the roller is 9 cm. Find the mass of the roller, if 1 cm3 of iron has 7.8 gm mass. (Use π = 3.14)
Answer» A cylindrical road roller made of iron is 1 m long, Its internal diameter is 54 cm and the thickness of the iron sheet used in making the roller is 9 cm. Find the mass of the roller, if 1 cm³ of iron has 7.8 gm mass. (Use π = 3.14)

Discussion

5848.	Two dice are thrown simultaneously. The probability of getting a doublet is:[1 mark]
Answer» Two dice are thrown simultaneously. The probability of getting a doublet is: [1 mark]

Discussion

5849.	The following images are __________ as they are identical.
Answer» The following images are __________ as they are identical.

Discussion

5850.	Question 1In the formula ¯x=a+∑fidi∑fi, for finding the mean of grouped data d′is are deviation from a of(a) lower limits of the classes(b) upper limits of the classes(c) mid-points of the classes(d) frequencies of the class marks
Answer» Question 1 In the formula $¯ x = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}}$ , for finding the mean of grouped data $d_{i}^{'} s$ are deviation from a of (a) lower limits of the classes (b) upper limits of the classes (c) mid-points of the classes (d) frequencies of the class marks

Discussion

Explore topic-wise InterviewSolutions in .

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30∘. Find the height of the tower. [2 MARKS]

A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cmand its base is of radius 3.5 cm, then find the volume of wood in the toy. [CBSE 2013]

Question 6 (iii) The volume of a right circular cone is 9856cm3. If the diameter of the base is 28cm, find: (iii) curved surface area of the cone. [Assume π=227]

In the morning assembly of a school, 480 students are standing in rows and columns. If there are 4 more students in each row than the number of students in each column, then find the number of students in each row.

A father wants to divide 1800 rupees among his sons in the ratio of their ages. Of the two sons, one is 12 years old while the other is 15 years old. Their respective shares would be

If 3 tan θ = 4, find the value of 4 cos θ-sin θ2 cos θ+sin θ.

Determine whether the graph is a function using vertical line test.

Let n(A−B)=25+x, n(B−A)=2x and n(A∩B)=2x. If n(A)=2(n(B)) then 'x' is

Question 2 Which of the following is not a quadratic equation? (a) 2(x−1)2=4x2−2x+1 (b) 2x−x2=x2+5 (c) (√2x+√3)3=3x2−5x​​​​​​​ (d) (x2+2x)2=x4+3+4x2​​​​​​​

How many chords can be drawn through 10 points on a circle?

The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.

The plane which bisects the line joining the points (4,−2,3) and (2,4,−1) at right angles also passes through the point:

Prove the following trigonometric identities.(cosecA − sinA) (secA − cosA) (tanA + cotA) = 1

Ramkali required Rs 2,500 after 12 weeks to send her daughter to school. She saved Rs 100 in the first week and increased her weekly savings by Rs 20 every week. Find whether she will be able to send her daughter to school after 12 weeks.What value is generated in the above situation?

Prove that 2+3 is an irrational number, given that 3 is an irrational number.

A shopkeeper marks his goods 20% above cost price. If he allows 30% discount for cash payment, then what is the percentage loss?

An airplane when flying at a height of 4000 m from the ground passes vertically below another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60∘ and 45∘ respectively. Find the distance between the two planes at that instant.

A test tube has radius 2.1 cm and height 16.1 cm. Volume of the test tube is .

Find the point at which the line represented by the equation 6x+5y=9, intersects the x-axis.

If p, q are prime positive integers, prove that √p+√q is an irrational number.

Réponds en utilisant 'y':1.Penses-tu à tes vacances ? Oui, ..........................2. Va-t-il chez son cousin ? Oui, ..........................3. S'est-il caché derrière l'arbre ? Non, ..........................4. Seront-ils dans leur chambre ? Oui, ...........................

Number of solution of the equation: Log x=x(where, Base of the log is 1.1)

The probability of a day being rainy is 0.75, then the probability of it not being a rainy day is .

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on:(i) the same day?(ii) Different days?(iii) consecutive days?

Draw an ogive to represent the following frequency distribution: Class-interval: 0−4 5−9 10−14 15−19 20−24 Frequency: 2 6 10 5 3

Which of the following cases will not lead to non trivial solutions in case of system of linear equations according to Cramer's rule Convention given D != 0 ?

If the coordinates of the mid-points of the sides of a triangle be (3, −2), (−3, 1) and (4, −3), then find the coordinates of its vertices.

5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from outside. If a glass is chosen at random, what is the probability that the chosen glass is good?0.8

If the distance between the points (4, p) and (1, 0) is 5, then p=___

40. The nth term of an A.P is (an=2n+1), find its sum?

Question 2 (iii)E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF || QR.(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.63 cm

From an equilatera triangular plate of side ′a′, a square plate of maximum size has to be cut. THe side of such a square plate is:

The ratio in which the point (8, 7) divides the line segment joining the points (283,223) and (203,203) is k:1. The value of k is _

A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between the two vessels is filled with cork dust for heat insulation purposes. How many cubic centimeters of cork dust will be required?

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that sums of opposite sides are equal.

Given that:(1 + cos α) (1 + cos β) (1 + cos γ) = (1 − cos α) (1 − cos α) (1 − cos β) (1 − cos γ)Show that one of the values of each member of this equality is sin α sin β sin γ

Question 7Explain why 3×5×7+7 is a composite number.

A circular park is surroundeed by a rod 21 m wide. If the radius of the park is 105 m, find the area of the road .

The next term of the following series is 50,120,170,288,362,?

State the AA-similarity criterion.

In a rectangle ABCD, AB = 20 cm, ∠BAC = 60o, calculate side BC and diagonals AC and BD.

What is the diameter (in cm) of a sphere whose surface area is 616 cm2?

Prove that The lines 2x+y=2, x+2y=1 and x+y=1 pass through the same point.

Two traingles DEF and GHK are such that ∠D = 48∘and ∠H = 57∘ . If △DEF ∼ △GHK, then find the measure of ∠F.

A cylindrical road roller made of iron is 1 m long, Its internal diameter is 54 cm and the thickness of the iron sheet used in making the roller is 9 cm. Find the mass of the roller, if 1 cm3 of iron has 7.8 gm mass. (Use π = 3.14)

Two dice are thrown simultaneously. The probability of getting a doublet is:[1 mark]

The following images are __________ as they are identical.

Question 1In the formula ¯x=a+∑fidi∑fi, for finding the mean of grouped data d′is are deviation from a of(a) lower limits of the classes(b) upper limits of the classes(c) mid-points of the classes(d) frequencies of the class marks

Question 2 Which of the following is not a quadratic equation? (a) 2(x−1)2=4x2−2x+1 (b) 2x−x2=x2+5 (c) (√2x+√3)3=3x2−5x (d) (x2+2x)2=x4+3+4x2