24740 + Interview Questions in Mathematics

1.	Question 19(ii) Two dice are thrown at the same time. Find the probability of getting different number on both dice.
Answer» Question 19(ii) Two dice are thrown at the same time. Find the probability of getting different number on both dice.

Discussion

2.	Rationalize the denominator of the following(i)23√3(ii)√40√3(iii)4√3+5√2√48+√18
Answer» Rationalize the denominator of the following $(i) \frac{2}{3 \sqrt{3}} (i i) \frac{\sqrt{40}}{\sqrt{3}} (i i i) \frac{4 \sqrt{3} + 5 \sqrt{2}}{\sqrt{48} + \sqrt{18}}$

Discussion

3.	Given ∠POR=3x and ∠QOR=2x+10∘, find the value of x for which POQ will be a line.
Answer» Given $∠ P O R = 3 x$ and $∠ Q O R = 2 x + 10^{\circ}$ , find the value of x for which POQ will be a line.

3.

Given ∠POR=3x and ∠QOR=2x+10∘, find the value of x for which POQ will be a line.

Answer»

Given $∠ P O R = 3 x$ and $∠ Q O R = 2 x + 10^{\circ}$ , find the value of x for which POQ will be a line.

Discussion

4.	Total number of terms in (x^2 + 1/x^2 + 1)^n is
Answer» Total number of terms in (x^2 + 1/x^2 + 1)^n is

Discussion

5.	If ABC is an isosceles triangle in which AC = BC, AD and BE are respectively two altitudes to sides BC and AC, then prove that AE = BD.
Answer» If ABC is an isosceles triangle in which AC = BC, AD and BE are respectively two altitudes to sides BC and AC, then prove that AE = BD.

Discussion

6.	The linear equation of the following graph is
Answer» The linear equation of the following graph is

Discussion

7.	16. x-y whole cube + y-x whole square is equal to
Answer» 16. x-y whole cube + y-x whole square is equal to

Discussion

8.	Question 7Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.
Answer» Question 7 Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

Discussion

9.	Question 11 (ii)In the given figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that:(ii) ar(AEDF) = ar(ABCDE)
Answer» Question 11 (ii) In the given figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that: (ii) ar(AEDF) = ar(ABCDE)

Discussion

10.	The following figure shows a circle with PR as its diameter. If PQ = 7 cm and QR = 3RS = 6 cm, find the perimeter of the cyclic quadrilateral PQRS.
Answer» The following figure shows a circle with PR as its diameter. If PQ = 7 cm and QR = 3RS = 6 cm, find the perimeter of the cyclic quadrilateral PQRS.

10.

The following figure shows a circle with PR as its diameter. If PQ = 7 cm and QR = 3RS = 6 cm, find the perimeter of the cyclic quadrilateral PQRS.

Answer»

The following figure shows a circle with PR as its diameter.

If PQ = 7 cm and QR = 3RS = 6 cm, find the perimeter of the cyclic quadrilateral PQRS.

Discussion

11.	Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.(i) 38 (ii) 13125(iii) 780(iv) 14588625(v) 12922×57 [NCERT]
Answer» Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^m × 5ⁿ, where, m, n are non-negative integers. (i) $\frac{3}{8}$ (ii) $\frac{13}{125}$ (iii) $\frac{7}{80}$ (iv) $\frac{14588}{625}$ (v) $\frac{129}{2^{2} \times 5^{7}}$ [NCERT]

Discussion

12.	36. What are sets?
Answer» 36. What are sets?

Discussion

13.	If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show thatar (EFGH) ar (ABCD)
Answer» If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that ar (EFGH) ar (ABCD)

13.

If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show thatar (EFGH) ar (ABCD)

Answer»

If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that

ar (EFGH) ar (ABCD)

Discussion

14.	Which of the following expression is equal to 52×32?
Answer» Which of the following expression is equal to $5^{2} \times 3^{2} ?$

Discussion

15.	In a rhombus PQRS if PQ = 7.5 then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.
Answer» In a rhombus PQRS if PQ = 7.5 then find QR. If $∠$ QPS = $75^{°}$ then find the measure of $∠$ PQR and $∠$ SRQ.

Discussion

16.	Question 10If BM and CN are the perpendiculars drawn on the sides AC and AB of the ΔABC, prove that the points B, C, M and N are concyclic.
Answer» Question 10 If BM and CN are the perpendiculars drawn on the sides AC and AB of the $Δ A B C$ , prove that the points B, C, M and N are concyclic.

Discussion

17.	In a hockey team there are 6 defenders , 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that –(1) The goalee will be selected.(2) A defender will be selected.
Answer» In a hockey team there are 6 defenders , 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that – (1) The goalee will be selected. (2) A defender will be selected.

Discussion

18.	Find the 0 of the polynomial r(x) = x2 + 3x
Answer» Find the 0 of the polynomial r(x) = x2 + 3x

Discussion

19.	The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, the ratio of their curved surface areas, is(a) 4 : 5(b) 25 : 16(c) 16 : 25(d) 5 : 4
Answer» The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, the ratio of their curved surface areas, is (a) 4 : 5 (b) 25 : 16 (c) 16 : 25 (d) 5 : 4

Discussion

20.	Find the LCM and HCF of 26, 91 and verify that LCM × HCF = product of the two numbers.
Answer» Find the LCM and HCF of 26, 91 and verify that LCM $\times$ HCF = product of the two numbers.

Discussion

21.	Question 8Find three different irrational numbers between the rational numbers 57 and 911.
Answer» Question 8 Find three different irrational numbers between the rational numbers $\frac{5}{7} a n d \frac{9}{11}$ .

Discussion

22.	Which of the following pair is having two equal values? Where X is rational.( explain step by step) A ) 9x/2 ,24x/3 B)2564/x,(43)4/x
Answer» Which of the following pair is having two equal values? Where X is rational.( explain step by step) A ) 9^x/2,24^x/3 B)256^4/x,(4³)^4/x

22.

Which of the following pair is having two equal values? Where X is rational.( explain step by step) A ) 9x/2 ,24x/3 B)2564/x,(43)4/x

Answer»

Which of the following pair is having two equal values? Where X is rational.( explain step by step)

A ) 9^x/2,24^x/3 B)256^4/x,(4³)^4/x

Discussion

23.	Three circles each of radius 7 cm are placed in such a way that each of them touches the other two externally. The empty area enclosed between the circles is:(Take π=227)[1 mark]
Answer» Three circles each of radius 7 cm are placed in such a way that each of them touches the other two externally. The empty area enclosed between the circles is: $(Take π = \frac{22}{7})$ [1 mark]

Discussion

24.	find the zeroes of the quadratic polynomial whose product and sum of the zeroes are 23 and 10 respectively. And also find the polynomial.
Answer» find the zeroes of the quadratic polynomial whose product and sum of the zeroes are 23 and 10 respectively. And also find the polynomial.

Discussion

25.	Journalise the following transactions:1. Purchased a Motor Car for ₹ 3,00,000 and paid ₹ 25,000 for its repair and renewal. Entire payment is made by cheque.2. Received Rent ₹ 5,000.3. Goods worth ₹ 20,000 were distributed as free samples.4. Charge depreciation on Motor Car ₹ 32,500.5. Rent due to Landlord ₹ 10,000 and Salary due to Clerks ₹ 80,000.6. Charge interest on Capital ₹ 20,000.7. ₹ 5,000 due from Sanjay Gupta are bad-debts.8. Goods worth ₹ 50,000 were destroyed by fire.9. Cash ₹ 5,000 and goods worth ₹ 20,000 were stolen by an employee.
Answer» Journalise the following transactions: 1. Purchased a Motor Car for ₹ 3,00,000 and paid ₹ 25,000 for its repair and renewal. Entire payment is made by cheque. 2. Received Rent ₹ 5,000. 3. Goods worth ₹ 20,000 were distributed as free samples. 4. Charge depreciation on Motor Car ₹ 32,500. 5. Rent due to Landlord ₹ 10,000 and Salary due to Clerks ₹ 80,000. 6. Charge interest on Capital ₹ 20,000. 7. ₹ 5,000 due from Sanjay Gupta are bad-debts. 8. Goods worth ₹ 50,000 were destroyed by fire. 9. Cash ₹ 5,000 and goods worth ₹ 20,000 were stolen by an employee.

Discussion

26.	Question 19The rain water from a roof of dimensions 22 m, 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall in cm.
Answer» Question 19 The rain water from a roof of dimensions 22 m, 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall in cm.

Discussion

27.	in a resonance tube experimnent two resonance are obtained at 15cm and 35cm. the next resonance will be obtained at ?
Answer» in a resonance tube experimnent two resonance are obtained at 15cm and 35cm. the next resonance will be obtained at ?

Discussion

28.	Explain the meaning of the following terms:(i) variate(ii) class-integral(iii) class-size(iv) class-mark(v) frequency(vi) class limits(vii) true class limits.
Answer» Explain the meaning of the following terms: (i) variate (ii) class-integral (iii) class-size (iv) class-mark (v) frequency (vi) class limits (vii) true class limits.

Discussion

29.	Prove that √5-√3is not a rational number
Answer» Prove that √5-√3is not a rational number

Discussion

30.	Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is the third side?
Answer» Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is the third side?

Discussion

31.	A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.(i) Which box has the greater lateral surface area and by how much?(ii) Which box has the smaller total surface area and by how much?
Answer» A cubical box has each edge $10 c m$ and another cuboidal box is $12.5 c m$ long, $10 c m$ wide and $8 c m$ high. (i) Which box has the greater lateral surface area and by how much? (ii) Which box has the smaller total surface area and by how much?

31.

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.(i) Which box has the greater lateral surface area and by how much?(ii) Which box has the smaller total surface area and by how much?

Answer»

A cubical box has each edge $10 c m$ and another cuboidal box is $12.5 c m$ long, $10 c m$ wide and $8 c m$ high.

(i) Which box has the greater lateral surface area and by how much?

(ii) Which box has the smaller total surface area and by how much?

Discussion

32.	The speed of a boat in still water is 10 Kmph. If it can travel 26 Km downstream and 14 Km upstream in the same time, the speed of the stream isThe speed of a boat in still water is 10 Kmph. If it can travel 26 Km downstream and 14 Km upstream in the same time, the speed of the stream is
Answer» The speed of a boat in still water is 10 Kmph. If it can travel 26 Km downstream and 14 Km upstream in the same time, the speed of the stream isThe speed of a boat in still water is 10 Kmph. If it can travel 26 Km downstream and 14 Km upstream in the same time, the speed of the stream is

Discussion

33.	If x = 3 and y = 4 is a solution of the equation 5x – 3y = k, find the value of k.
Answer» If x = 3 and y = 4 is a solution of the equation 5x – 3y = k, find the value of k.

Discussion

34.	Question 2 The total surface area of a cube is 96 cm2. The volume of the cube is: A) 8 cm3 B) 512 cm3 C) 64 cm3 D) 27 cm3
Answer» Question 2 The total surface area of a cube is $96 c m^{2}$ . The volume of the cube is: A) $8 c m^{3}$ B) $512 c m^{3}$ C) $64 c m^{3}$ D) $27 c m^{3}$

Discussion

35.	Maithili, Shaila and Ajay live in three different places in the city. A toy shop is equidistant from the three houses. Which geometrical construction should be used to represent this? Explain your answer.
Answer» Maithili, Shaila and Ajay live in three different places in the city. A toy shop is equidistant from the three houses. Which geometrical construction should be used to represent this? Explain your answer.

Discussion

36.

The number of ATM’s of different banks in Hyderabad city is shown below: Name of the Bank Number of ATM's State Bank of India 35 ICICI Bank 30 Vijaya Bank 10 Dena Bank 15 Citi Bank 5 HSBC 5 Bank of Baroda 25 Draw a bar graph to represent the above information by choosing the scale of your choice and then answer below questions(a) Which bank has the highest number of ATMs?(b) How many total banks are present in Hyderabad?(c) Which two banks have the same number of ATM’s

Answer» The number of ATM’s of different banks in Hyderabad city is shown below:

Name of the Bank	Number of ATM's
State Bank of India	35
ICICI Bank	30
Vijaya Bank	10
Dena Bank	15
Citi Bank	5
HSBC	5
Bank of Baroda	25

Draw a bar graph to represent the above information by choosing the scale of your choice and then answer below questions

(a) Which bank has the highest number of ATMs?

(b) How many total banks are present in Hyderabad?

(c) Which two banks have the same number of ATM’s

Discussion

37.	Question 13 Show that cos2(45∘+θ)+cos2(45∘−θ)tan(60∘+θ)tan(30∘−θ)=1
Answer» Question 13 Show that $\frac{c o s^{2} (45^{\circ} + θ) + c o s^{2} (45^{\circ} - θ)}{t a n (60^{\circ} + θ) t a n (30^{\circ} - θ)} = 1$

Discussion

38.	If the volume of a room is 660 m3 and the area of the floor is 132 m2, find the height of the room.
Answer» If the volume of a room is $660 m^{3}$ and the area of the floor is $132 m^{2}$ , find the height of the room.

Discussion

39.	Question 9A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹ 5 per cm2. Find the cost of painting.
Answer» Question 9 A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹ 5 per $c m^{2}$ . Find the cost of painting.

Discussion

40.	A particle is a project for a range of 16/3m on horizontal surface. At a distance 1m from point of projection, the height of the particle is 4m . the maximum height attained as.
Answer» A particle is a project for a range of 16/3m on horizontal surface. At a distance 1m from point of projection, the height of the particle is 4m . the maximum height attained as.

Discussion

41.	The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is ₹ 8800. If the painter charges ₹ 40 per metre square to paint the cylindrical container, then find its radius. [ Take π=227 ]
Answer» The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is ₹ 8800. If the painter charges ₹ 40 per metre square to paint the cylindrical container, then find its radius. [ $Take π = \frac{22}{7}$ ]

Discussion

42.	Read the following bar graph (Fig. 23.15) and answer the following questions:(i) What information is given by the bar graph?(ii) What was the production of cement in the year 1980-81?(iii) What is the minimum and maximum productions of cement and corresponding years?
Answer» Read the following bar graph (Fig. 23.15) and answer the following questions: (i) What information is given by the bar graph? (ii) What was the production of cement in the year 1980-81? (iii) What is the minimum and maximum productions of cement and corresponding years?

Discussion

43.	The two sides of a triangle are 2 and 7. What is the smallest and largest possible values of the third side of the triangle, if given that all sides of the triangle are integers.
Answer» The two sides of a triangle are 2 and 7. What is the smallest and largest possible values of the third side of the triangle, if given that all sides of the triangle are integers.

Discussion

44.	8. The equation of a straight line passing through the point (-5,4) and which cuts off an intercept of 2 units between the lines x+y+1=0 and x+y-1=0 is
Answer» 8. The equation of a straight line passing through the point (-5,4) and which cuts off an intercept of 2 units between the lines x+y+1=0 and x+y-1=0 is

Discussion

45.	If a side of a triangle is produced, the exterior angle so formed is equal to the
Answer» If a side of a triangle is produced, the exterior angle so formed is equal to the

Discussion

46.	√6x2y+(2x+√6)y+3xy is equal to
Answer» $\sqrt{6} x^{2} y + (2 x + \sqrt{6}) y + 3 x y$ is equal to

Discussion

47.	In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is(a) 55°(b) 85°(c) 40°(d) 9.0°
Answer» In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is (a) 55° (b) 85° (c) 40° (d) 9.0°

Discussion

48.	In the adjoining figure,BD\|\|CA, E is the midpoint of CA and BD=12CA.Prove that ar(△ ABC)=2ar(△ DBC).
Answer» In the adjoining figure,BD\|\|CA, E is the midpoint of CA and BD= $\frac{1}{2} C A$ .Prove that $a r (△ A B C) = 2 a r (△ D B C)$ .

48.

In the adjoining figure,BD||CA, E is the midpoint of CA and BD=12CA.Prove that ar(△ ABC)=2ar(△ DBC).

Answer»

In the adjoining figure,BD||CA, E is the midpoint of CA and BD= $\frac{1}{2} C A$ .Prove that $a r (△ A B C) = 2 a r (△ D B C)$ .

Discussion

49.	To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80∘ to a distance of 16.5 km. Find the area of the sea over which the ships are warned.(Use π=3.14)
Answer» To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle $80^{\circ}$ to a distance of 16.5 km. Find the area of the sea over which the ships are warned. $(U s e π = 3.14)$

Discussion

50.	Solve by factorization :3x^{}+ 7= 0
Answer» Solve by factorization :3x^{}+ 7= 0

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 19(ii) Two dice are thrown at the same time. Find the probability of getting different number on both dice.

Rationalize the denominator of the following(i)23√3(ii)√40√3(iii)4√3+5√2√48+√18

Given ∠POR=3x and ∠QOR=2x+10∘, find the value of x for which POQ will be a line.

Total number of terms in (x^2 + 1/x^2 + 1)^n is

If ABC is an isosceles triangle in which AC = BC, AD and BE are respectively two altitudes to sides BC and AC, then prove that AE = BD.

The linear equation of the following graph is

16. x-y whole cube + y-x whole square is equal to

Question 7Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

Question 11 (ii)In the given figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that:(ii) ar(AEDF) = ar(ABCDE)

The following figure shows a circle with PR as its diameter. If PQ = 7 cm and QR = 3RS = 6 cm, find the perimeter of the cyclic quadrilateral PQRS.

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.(i) 38 (ii) 13125(iii) 780(iv) 14588625(v) 12922×57 [NCERT]

36. What are sets?

If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show thatar (EFGH) ar (ABCD)

Which of the following expression is equal to 52×32?

In a rhombus PQRS if PQ = 7.5 then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.

Question 10If BM and CN are the perpendiculars drawn on the sides AC and AB of the ΔABC, prove that the points B, C, M and N are concyclic.

In a hockey team there are 6 defenders , 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that –(1) The goalee will be selected.(2) A defender will be selected.

Find the 0 of the polynomial r(x) = x2 + 3x

The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, the ratio of their curved surface areas, is(a) 4 : 5(b) 25 : 16(c) 16 : 25(d) 5 : 4

Find the LCM and HCF of 26, 91 and verify that LCM × HCF = product of the two numbers.

Question 8Find three different irrational numbers between the rational numbers 57 and 911.

Which of the following pair is having two equal values? Where X is rational.( explain step by step) A ) 9x/2 ,24x/3 B)2564/x,(43)4/x

Three circles each of radius 7 cm are placed in such a way that each of them touches the other two externally. The empty area enclosed between the circles is:(Take π=227)[1 mark]

find the zeroes of the quadratic polynomial whose product and sum of the zeroes are 23 and 10 respectively. And also find the polynomial.

Question 19The rain water from a roof of dimensions 22 m, 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall in cm.

in a resonance tube experimnent two resonance are obtained at 15cm and 35cm. the next resonance will be obtained at ?

Explain the meaning of the following terms:(i) variate(ii) class-integral(iii) class-size(iv) class-mark(v) frequency(vi) class limits(vii) true class limits.

Prove that √5-√3is not a rational number

Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is the third side?

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.(i) Which box has the greater lateral surface area and by how much?(ii) Which box has the smaller total surface area and by how much?

The speed of a boat in still water is 10 Kmph. If it can travel 26 Km downstream and 14 Km upstream in the same time, the speed of the stream isThe speed of a boat in still water is 10 Kmph. If it can travel 26 Km downstream and 14 Km upstream in the same time, the speed of the stream is

If x = 3 and y = 4 is a solution of the equation 5x – 3y = k, find the value of k.

Question 2 The total surface area of a cube is 96 cm2. The volume of the cube is: A) 8 cm3 B) 512 cm3 C) 64 cm3 D) 27 cm3​​​​​​​

Maithili, Shaila and Ajay live in three different places in the city. A toy shop is equidistant from the three houses. Which geometrical construction should be used to represent this? Explain your answer.

Question 13 Show that cos2(45∘+θ)+cos2(45∘−θ)tan(60∘+θ)tan(30∘−θ)=1

If the volume of a room is 660 m3 and the area of the floor is 132 m2, find the height of the room.

Question 9A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹ 5 per cm2. Find the cost of painting.

A particle is a project for a range of 16/3m on horizontal surface. At a distance 1m from point of projection, the height of the particle is 4m . the maximum height attained as.

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is ₹ 8800. If the painter charges ₹ 40 per metre square to paint the cylindrical container, then find its radius. [ Take π=227 ]

Read the following bar graph (Fig. 23.15) and answer the following questions:(i) What information is given by the bar graph?(ii) What was the production of cement in the year 1980-81?(iii) What is the minimum and maximum productions of cement and corresponding years?

The two sides of a triangle are 2 and 7. What is the smallest and largest possible values of the third side of the triangle, if given that all sides of the triangle are integers.

8. The equation of a straight line passing through the point (-5,4) and which cuts off an intercept of 2 units between the lines x+y+1=0 and x+y-1=0 is

If a side of a triangle is produced, the exterior angle so formed is equal to the

√6x2y+(2x+√6)y+3xy is equal to

In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is(a) 55°(b) 85°(c) 40°(d) 9.0°

In the adjoining figure,BD||CA, E is the midpoint of CA and BD=12CA.Prove that ar(△ ABC)=2ar(△ DBC).

To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80∘ to a distance of 16.5 km. Find the area of the sea over which the ships are warned.(Use π=3.14)

Solve by factorization :3x^{}+ 7= 0

Question 2 The total surface area of a cube is 96 cm2. The volume of the cube is: A) 8 cm3 B) 512 cm3 C) 64 cm3 D) 27 cm3