24740 + Interview Questions in Mathematics

1.	Question 5 ABCD is a square. E and F are respectively the mid-points of BC and CD. If R is the mid-point of EF, prove that ar (Δ AER) = ar (Δ AFR).
Answer» Question 5 ABCD is a square. E and F are respectively the mid-points of BC and CD. If R is the mid-point of EF, prove that ar ( $Δ$ AER) = ar ( $Δ$ AFR).

Discussion

2.	Two distinct____in a plane cannot have more than one point in common.
Answer» Two distinct____in a plane cannot have more than one point in common.

Discussion

3.	the number of ways in which the time table for monday we completed there must be 5 lessons that day that is algebra geometry characters trigonometry vectors and Algebra and geometry must not immediately follow each other
Answer» the number of ways in which the time table for monday we completed there must be 5 lessons that day that is algebra geometry characters trigonometry vectors and Algebra and geometry must not immediately follow each other

Discussion

4.	In the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠ MRS = 29o. Calculate : (i) ∠ RNM, (ii) ∠ NRM.
Answer» In the given figure, RS is a diameter of the circle. NM is parallel to RS and $∠$ MRS = $29^{o}$ . Calculate : (i) $∠$ RNM, (ii) $∠$ NRM.

4.

In the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠ MRS = 29o. Calculate : (i) ∠ RNM, (ii) ∠ NRM.

Answer»

In the given figure, RS is a diameter of the circle. NM is parallel to RS and $∠$ MRS = $29^{o}$ . Calculate :

(i) $∠$ RNM,

(ii) $∠$ NRM.

Discussion

5.	The perimeter of a triangle is.... the sum of its medians.
Answer» The perimeter of a triangle is.... the sum of its medians.

Discussion

6.	You were given with random five digits 0, 4, 6, 8 and 1. You want to find the greatest five digits and the smallest five digit number that can be formed by using them. What can be the two numbers? (Without repeating the digits)
Answer» You were given with random five digits 0, 4, 6, 8 and 1. You want to find the greatest five digits and the smallest five digit number that can be formed by using them. What can be the two numbers? (Without repeating the digits)

Discussion

7.	If two circles which pass through the points (0, a) and (0, -a) cut each other orthogonally and touch the straight line y=mx+c, then
Answer» If two circles which pass through the points (0, a) and (0, -a) cut each other orthogonally and touch the straight line $y = m x + c$ , then

Discussion

8.	If the class-marks of a frequency distribution are 10.5, 16.5, 22.5, 28.5, 34.5, then the class-size is
Answer» If the class-marks of a frequency distribution are 10.5, 16.5, 22.5, 28.5, 34.5, then the class-size is

Discussion

9.	If a cosθ+b sin θ = m and a sin θ−b cos θ = n,then a2+b2 =
Answer» $I f a c o s θ + b s i n θ = m a n d a s i n θ - b c o s θ = n, t h e n a^{2} + b^{2} =$

Discussion

10.	A square whose area is 64 cm2 has to be fenced . Find the total cost of fencing if the rate of fencing is ₹ 2 per metre.
Answer» A square whose area is 64 $c m^{2}$ has to be fenced . Find the total cost of fencing if the rate of fencing is ₹ 2 per metre.

Discussion

11.	Find the area of the quadrilateral (in sq.units) as shown in the figure below. ∠EAB = ∠AEC = 90°. Given that: AB = AE = 4 units and EC = 7 units.
Answer» Find the area of the quadrilateral (in sq.units) as shown in the figure below. $∠$ EAB = $∠$ AEC = 90°. Given that: AB = AE = 4 units and EC = 7 units.

11.

Find the area of the quadrilateral (in sq.units) as shown in the figure below. ∠EAB = ∠AEC = 90°. Given that: AB = AE = 4 units and EC = 7 units.

Answer»

Find the area of the quadrilateral (in sq.units) as shown in the figure below. $∠$ EAB = $∠$ AEC = 90°. Given that: AB = AE = 4 units and EC = 7 units.

Discussion

12.	Which of the following statements is incorrect?
Answer» Which of the following statements is incorrect?

Discussion

13.	A regular hexagon is inscribed in a circle. If the area of hexagon is 24√3 cm2, find the area of the circle. (Use π=3.14)
Answer» A regular hexagon is inscribed in a circle. If the area of hexagon is $24 \sqrt{3} c m^{2}$ , find the area of the circle. (Use $π = 3.14$ )

Discussion

14.	Directions:- Study the following information carefully to answer the question given below. Eight persons — A, B, C, D, E, F, G and H are sitting around a regular octagonal table but not necessarily in the same order. Out of them, A and B are facing towards the centre of the table while the rest of them are facing outside. G sits second to the left of E. A sits second to the left of G. Only one person sits between A and H. B sits to the immediate right of A. D is not an immediate neighbour of G. B is not an immediate neighbour of G. Both the immediate neighbours of F face towards the outside. How many persons sit between C and D?
Answer» Directions:- Study the following information carefully to answer the question given below. Eight persons — A, B, C, D, E, F, G and H are sitting around a regular octagonal table but not necessarily in the same order. Out of them, A and B are facing towards the centre of the table while the rest of them are facing outside. G sits second to the left of E. A sits second to the left of G. Only one person sits between A and H. B sits to the immediate right of A. D is not an immediate neighbour of G. B is not an immediate neighbour of G. Both the immediate neighbours of F face towards the outside. How many persons sit between C and D?

Discussion

15.	A, B and C are partners in a firm. A retires on 1st April, 2012. On the date of retirement, Rs 80,000 is due to him in all. It is agreed to pay him this amount in instalments every year at the end of the year. Prepare A's Loan A/c in the following cases : (i) Four yearly instalments plus interest 10% p.a. (ii) Three instalments of Rs 25,000 which already include interest 10% p.a. on the outstanding balance and the balance including interest in the fourth year. Books are closed on 31st March every year.
Answer» A, B and C are partners in a firm. A retires on 1st April, 2012. On the date of retirement, Rs 80,000 is due to him in all. It is agreed to pay him this amount in instalments every year at the end of the year. Prepare A's Loan A/c in the following cases : (i) Four yearly instalments plus interest 10% p.a. (ii) Three instalments of Rs 25,000 which already include interest 10% p.a. on the outstanding balance and the balance including interest in the fourth year. Books are closed on 31st March every year.

15.

A, B and C are partners in a firm. A retires on 1st April, 2012. On the date of retirement, Rs 80,000 is due to him in all. It is agreed to pay him this amount in instalments every year at the end of the year. Prepare A's Loan A/c in the following cases : (i) Four yearly instalments plus interest 10% p.a. (ii) Three instalments of Rs 25,000 which already include interest 10% p.a. on the outstanding balance and the balance including interest in the fourth year. Books are closed on 31st March every year.

Answer»

A, B and C are partners in a firm. A retires on 1st April, 2012. On the date of retirement, Rs 80,000 is due to him in all. It is agreed to pay him this amount in instalments every year at the end of the year. Prepare A's Loan A/c in the following cases :

(i) Four yearly instalments plus interest 10% p.a.

(ii) Three instalments of Rs 25,000 which already include interest 10% p.a. on the outstanding balance and the balance including interest in the fourth year.

Books are closed on 31st March every year.

Discussion

16.	(a) Both Assertion (A) and Reason (R) are true and Reason (A) and Reason (R). For selecting the correct answer, use the following code : (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). (c) Assertion (A) is true and Reason (R) is false. (d) Assertion (A) is false and Reason (R) is true. Assertion (A) Reason (R)e is an irrational number.π is an irrational numberThe correct answer is: (a)/(b)/(c)/(d).
Answer» (a) Both Assertion (A) and Reason (R) are true and Reason (A) and Reason (R). For selecting the correct answer, use the following code : (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). (c) Assertion (A) is true and Reason (R) is false. (d) Assertion (A) is false and Reason (R) is true. $\begin{matrix} Assertion (A) & Reason (R) e is an irrational number. & π i s a n i r r a t i o n a l n u m b e r \end{matrix} The correct answer is: (a)/(b)/(c)/(d).$

16.

(a) Both Assertion (A) and Reason (R) are true and Reason (A) and Reason (R). For selecting the correct answer, use the following code : (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). (c) Assertion (A) is true and Reason (R) is false. (d) Assertion (A) is false and Reason (R) is true. Assertion (A) Reason (R)e is an irrational number.π is an irrational numberThe correct answer is: (a)/(b)/(c)/(d).

Answer»

(a) Both Assertion (A) and Reason (R) are true and Reason (A) and Reason (R). For selecting the correct answer, use the following code :

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(c) Assertion (A) is true and Reason (R) is false.

(d) Assertion (A) is false and Reason (R) is true.

$\begin{matrix} Assertion (A) & Reason (R) e is an irrational number. & π i s a n i r r a t i o n a l n u m b e r \end{matrix} The correct answer is: (a)/(b)/(c)/(d).$

Discussion

17.	Let f(α)=⎡⎢⎣cosα−sinα0sinαcosα0001⎤⎥⎦, then (f(α))−1 is equal to
Answer» Let $f (α) = ⎡ ⎢ ⎣ \begin{matrix} c o s α & - s i n α & 0 s i n α & c o s α & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦$ , then $(f (α))^{- 1}$ is equal to

Discussion

18.	A parallelogram and a square have the same area. If the sides of the square measure 40 m and altitutde of the parallelogram measures 25 m, find the length of the corresponding base of the parallelogram.
Answer» A parallelogram and a square have the same area. If the sides of the square measure 40 m and altitutde of the parallelogram measures 25 m, find the length of the corresponding base of the parallelogram.

Discussion

19.	What information can be inferred from the equation of the graph, 2y+6=12
Answer» What information can be inferred from the equation of the graph, 2y+6=12

Discussion

20.	Factorise: x3−3x2+3x+7
Answer» Factorise: $x^{3} - 3 x^{2} + 3 x + 7$

Discussion

21.	If x=(√3+√2 / √3-√2) and y=(√3-√2 / √3+√2). Then find x²+y².
Answer» If x=(√3+√2 / √3-√2) and y=(√3-√2 / √3+√2). Then find x²+y².

Discussion

22.	Factorize: 5−(3a2−2a)(6−3a2+2a)
Answer» Factorize: $5 - (3 a^{2} - 2 a) (6 - 3 a^{2} + 2 a)$

Discussion

23.	Pick out the personal pronoun in the sentence. Romeo wrote a letter to me but it did not arrive on time.
Answer» Pick out the personal pronoun in the sentence. Romeo wrote a letter to me but it did not arrive on time.

23.

Pick out the personal pronoun in the sentence. Romeo wrote a letter to me but it did not arrive on time.

Answer»

Pick out the personal pronoun in the sentence.

Romeo wrote a letter to me but it did not arrive on time.

Discussion

24.	The possible values of x2+4 is:
Answer» The possible values of $x^{2} + 4$ is:

Discussion

25.	z1 and z2 are two adjacent vertices of a regular polygon with centre z. Find the angle made by one side at the centre.
Answer» $z_{1}$ and $z_{2}$ are two adjacent vertices of a regular polygon with centre z. Find the angle made by one side at the centre.

25.

z1 and z2 are two adjacent vertices of a regular polygon with centre z. Find the angle made by one side at the centre.

Answer»

$z_{1}$ and $z_{2}$ are two adjacent vertices of a regular polygon with centre z. Find the angle made by one side at the centre.

Discussion

26.	Which of the following should be the SECOND sentence after rearrangement?
Answer» Which of the following should be the SECOND sentence after rearrangement?

Discussion

27.	In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle D. If ∠ACD = y∘ and ∠AOD = x∘, prove that x = 3y.
Answer» In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle D. If $∠$ ACD = $y^{\circ}$ and $∠$ AOD = $x^{\circ}$ , prove that x = 3y.

27.

In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle D. If ∠ACD = y∘ and ∠AOD = x∘, prove that x = 3y.

Answer»

In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle D. If $∠$ ACD = $y^{\circ}$ and $∠$ AOD = $x^{\circ}$ , prove that x = 3y.

Discussion

28.	Factorise: 6(2x−3x)2−2(2x−3x)−20
Answer» Factorise: $6 {(2 x - \frac{3}{x})}^{2} - 2 (2 x - \frac{3}{x}) - 20$

Discussion

29.	AB and CD are two parallel chords of a circle with centre O such that AB = 6 cm and CD = 12 cm. The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is
Answer» AB and CD are two parallel chords of a circle with centre O such that AB = 6 cm and CD = 12 cm. The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is

Discussion

30.	The mean of five numbers is 27. If one number is excluded, their mean is 25.Find the excluded number.
Answer» The mean of five numbers is 27. If one number is excluded, their mean is 25.Find the excluded number.

Discussion

31.	Today the whole world is the same age. Today is a very special day. It happens only once after every 1,000 year. Your age + your year of birth, every person is =2018 . Why is this happening??
Answer» Today the whole world is the same age. Today is a very special day. It happens only once after every 1,000 year. Your age + your year of birth, every person is =2018 . Why is this happening??

Discussion

32.	If n is odd, then prove that x+1 is a factor of x^n+1
Answer» If n is odd, then prove that x+1 is a factor of x^n+1

Discussion

33.	In the following figure, AB is the diameter of a circle with centre O and CD is the chord with length euqal to radius OA. If AC produced and BD produced meet at point P; show that : ∠APB=60∘.
Answer» In the following figure, AB is the diameter of a circle with centre O and CD is the chord with length euqal to radius OA. If AC produced and BD produced meet at point P; show that : $∠ A P B = 60^{\circ} .$

33.

In the following figure, AB is the diameter of a circle with centre O and CD is the chord with length euqal to radius OA. If AC produced and BD produced meet at point P; show that : ∠APB=60∘.

Answer»

In the following figure, AB is the diameter of a circle with centre O and CD is the chord with length euqal to radius OA.

If AC produced and BD produced meet at point P; show that : $∠ A P B = 60^{\circ} .$

Discussion

34.	For what value of k is x= 6, y = 8 a solution of the equations given below?
Answer» For what value of k is x= 6, y = 8 a solution of the equations given below?

Discussion

35.	If (x−2)(x+a)(x−b) is the factorised form of the polynomial (x3−2x2−9x+18), then find the values of a and b.
Answer» If $(x - 2) (x + a) (x - b)$ is the factorised form of the polynomial $(x^{3} - 2 x^{2} - 9 x + 18),$ then find the values of $a$ and $b .$

Discussion

36.	If the vectors →a and →b are perpendicular to each other, then a vector →v in terms of →a and →b satisfying the equations →v.→a=0,→v.→b=1 and [→v →a →b]=1 is
Answer» If the vectors $\to a$ and $\to b$ are perpendicular to each other, then a vector $\to v$ in terms of $\to a$ and $\to b$ satisfying the equations $\to v . \to a = 0, \to v . \to b = 1 a n d [\to v \to a \to b] = 1$ is

Discussion

37.	Question 5 In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC=130∘ and ∠ECD=20∘. Find ∠BAC.
Answer» Question 5 In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that $∠ B E C = 130^{\circ}$ and $∠ E C D = 20^{\circ}$ . Find $∠ B A C$ .

Discussion

38.	The radius and height of a cone are in the ratio 4: 3. The area of the base is 154cm2. The area of the curved surface in cm2 __
Answer» The radius and height of a cone are in the ratio 4: 3. The area of the base is 154cm². The area of the curved surface in $c m^{2}$ __

38.

The radius and height of a cone are in the ratio 4: 3. The area of the base is 154cm2. The area of the curved surface in cm2 __

Answer»

The radius and height of a cone are in the ratio 4: 3. The area of the base is 154cm². The area of the curved surface in $c m^{2}$

__

Discussion

39.	The angles of a triangle are in the ratio 5:3:7, the triangle is:
Answer» The angles of a triangle are in the ratio 5:3:7, the triangle is:

Discussion

40.	Question 2 (iii) On comparing the ratios a1a2, b1b2 and c1c2 , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident. 6x – 3y + 10 = 0 2x – y + 9 = 0
Answer» Question 2 (iii) On comparing the ratios $\frac{a_{1}}{a_{2}}$ , $\frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$ , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident. 6x – 3y + 10 = 0 2x – y + 9 = 0

Discussion

41.	Refer to the following figure. If we were given the coordinates of A, E and B and the lengths of ED, DC and BC, how would you go about finding the area of this figure, pick the easiest way.
Answer» Refer to the following figure. If we were given the coordinates of A, E and B and the lengths of ED, DC and BC, how would you go about finding the area of this figure, pick the easiest way.

Discussion

42.	A boy walks to his school at a distance of 6 km with constant speed of 2.5km and walks back with a constant speed of 4 kmhr. His average speed for round trip expressed in kmhr, is
Answer» A boy walks to his school at a distance of 6 km with constant speed of $\frac{2.5}{k m}$ and walks back with a constant speed of 4 $\frac{k m}{h r}$ . His average speed for round trip expressed in $\frac{k m}{h r}$ , is

Discussion

43.	In the given figure, if ∠2 = 55° and ∠5 = 60°, then the lines m and n are
Answer» In the given figure, if ∠2 = 55° and ∠5 = 60°, then the lines m and n are

43.

In the given figure, if ∠2 = 55° and ∠5 = 60°, then the lines m and n are

Answer»

In the given figure, if ∠2 = 55° and ∠5 = 60°, then the lines m and n are

Discussion

44.	In a circle, two parallel chords of lengths 4 cm and 10 cm are 5 cm apart. Then the distance of the longer chord from the centre is ________.
Answer» In a circle, two parallel chords of lengths 4 cm and 10 cm are 5 cm apart. Then the distance of the longer chord from the centre is ________.

Discussion

45.	ΔABC≅ΔPRQ, ∠C=55∘, ∠B=65∘ and ∠P=2x+30∘ What is the valur of x ?
Answer» $Δ A B C ≅ Δ P R Q$ , $∠ C = 55^{\circ}$ , $∠ B = 65^{\circ}$ and $∠ P = 2 x + 30^{\circ}$ What is the valur of $x$ ?

Discussion

46.	Choose the correct answer in each of the following : The volume of a right circular cone of height 24 cm is 1232 cm3. Its curved surface area is (a) 1254 cm2 (b) 704 cm2 (c) 550 cm2 (d) 462 cm2
Answer» Choose the correct answer in each of the following : The volume of a right circular cone of height 24 cm is 1232 $c m^{3}$ . Its curved surface area is $(a) 1254 c m^{2} (b) 704 c m^{2} (c) 550 c m^{2} (d) 462 c m^{2}$

46.

Choose the correct answer in each of the following : The volume of a right circular cone of height 24 cm is 1232 cm3. Its curved surface area is (a) 1254 cm2 (b) 704 cm2 (c) 550 cm2 (d) 462 cm2

Answer»

Choose the correct answer in each of the following :

The volume of a right circular cone of height 24 cm is 1232 $c m^{3}$ . Its curved surface area is

$(a) 1254 c m^{2} (b) 704 c m^{2} (c) 550 c m^{2} (d) 462 c m^{2}$

Discussion

47.	Question 23 State whether the given statements are true (T) or false (F). 20 g : 100 g = 1m : 500 cm
Answer» Question 23 State whether the given statements are true (T) or false (F). 20 g : 100 g = 1m : 500 cm

47.

Question 23 State whether the given statements are true (T) or false (F). 20 g : 100 g = 1m : 500 cm

Answer»

Question 23

State whether the given statements are true (T) or false (F).

20 g : 100 g = 1m : 500 cm

Discussion

48.	The measure of an angle is five times its complement. The angle measures (a) 25∘ (b) 35∘ (c) 65∘ (d) 75∘
Answer» The measure of an angle is five times its complement. The angle measures (a) $25^{\circ}$ (b) $35^{\circ}$ (c) $65^{\circ}$ (d) $75^{\circ}$

48.

The measure of an angle is five times its complement. The angle measures (a) 25∘ (b) 35∘ (c) 65∘ (d) 75∘

Answer»

The measure of an angle is five times its complement. The angle measures

(a) $25^{\circ}$

(b) $35^{\circ}$

(c) $65^{\circ}$

(d) $75^{\circ}$

Discussion

49.	In a market, Bananas cost Rs. 24 per dozen while 10 Apples are sold for Rs. 100. Then, by how many times is an Apple costlier than a Banana?
Answer» In a market, Bananas cost Rs. 24 per dozen while 10 Apples are sold for Rs. 100. Then, by how many times is an Apple costlier than a Banana?

Discussion

50.	Which of the following option satisfies the given linear equation: 4x+3y=5?
Answer» Which of the following option satisfies the given linear equation: $4 x + 3 y = 5 ?$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 5 ABCD is a square. E and F are respectively the mid-points of BC and CD. If R is the mid-point of EF, prove that ar (Δ AER) = ar (Δ AFR).

Two distinct____in a plane cannot have more than one point in common.

the number of ways in which the time table for monday we completed there must be 5 lessons that day that is algebra geometry characters trigonometry vectors and Algebra and geometry must not immediately follow each other

In the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠ MRS = 29o. Calculate : (i) ∠ RNM, (ii) ∠ NRM.

The perimeter of a triangle is.... the sum of its medians.

You were given with random five digits 0, 4, 6, 8 and 1. You want to find the greatest five digits and the smallest five digit number that can be formed by using them. What can be the two numbers? (Without repeating the digits)

If two circles which pass through the points (0, a) and (0, -a) cut each other orthogonally and touch the straight line y=mx+c, then

If the class-marks of a frequency distribution are 10.5, 16.5, 22.5, 28.5, 34.5, then the class-size is

If a cosθ+b sin θ = m and a sin θ−b cos θ = n,then a2+b2 =

A square whose area is 64 cm2 has to be fenced . Find the total cost of fencing if the rate of fencing is ₹ 2 per metre.

Find the area of the quadrilateral (in sq.units) as shown in the figure below. ∠EAB = ∠AEC = 90°. Given that: AB = AE = 4 units and EC = 7 units.

Which of the following statements is incorrect?

A regular hexagon is inscribed in a circle. If the area of hexagon is 24√3 cm2, find the area of the circle. (Use π=3.14)

Let f(α)=⎡⎢⎣cosα−sinα0sinαcosα0001⎤⎥⎦, then (f(α))−1 is equal to

A parallelogram and a square have the same area. If the sides of the square measure 40 m and altitutde of the parallelogram measures 25 m, find the length of the corresponding base of the parallelogram.

What information can be inferred from the equation of the graph, 2y+6=12

Factorise: x3−3x2+3x+7

If x=(√3+√2 / √3-√2) and y=(√3-√2 / √3+√2). Then find x²+y².

Factorize: 5−(3a2−2a)(6−3a2+2a)

Pick out the personal pronoun in the sentence. Romeo wrote a letter to me but it did not arrive on time.

The possible values of x2+4 is:

z1 and z2 are two adjacent vertices of a regular polygon with centre z. Find the angle made by one side at the centre.

Which of the following should be the SECOND sentence after rearrangement?

In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle D. If ∠ACD = y∘ and ∠AOD = x∘, prove that x = 3y.

Factorise: 6(2x−3x)2−2(2x−3x)−20

AB and CD are two parallel chords of a circle with centre O such that AB = 6 cm and CD = 12 cm. The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is

The mean of five numbers is 27. If one number is excluded, their mean is 25.Find the excluded number.

Today the whole world is the same age. Today is a very special day. It happens only once after every 1,000 year. Your age + your year of birth, every person is =2018 . Why is this happening??

If n is odd, then prove that x+1 is a factor of x^n+1

In the following figure, AB is the diameter of a circle with centre O and CD is the chord with length euqal to radius OA. If AC produced and BD produced meet at point P; show that : ∠APB=60∘.

For what value of k is x= 6, y = 8 a solution of the equations given below?

If (x−2)(x+a)(x−b) is the factorised form of the polynomial (x3−2x2−9x+18), then find the values of a and b.

If the vectors →a and →b are perpendicular to each other, then a vector →v in terms of →a and →b satisfying the equations →v.→a=0,→v.→b=1 and [→v →a →b]=1 is

Question 5 In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC=130∘ and ∠ECD=20∘. Find ∠BAC.

The radius and height of a cone are in the ratio 4: 3. The area of the base is 154cm2. The area of the curved surface in cm2 __

The angles of a triangle are in the ratio 5:3:7, the triangle is:

Question 2 (iii) On comparing the ratios a1a2, b1b2 and c1c2 , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident. 6x – 3y + 10 = 0 2x – y + 9 = 0

Refer to the following figure. If we were given the coordinates of A, E and B and the lengths of ED, DC and BC, how would you go about finding the area of this figure, pick the easiest way.

A boy walks to his school at a distance of 6 km with constant speed of 2.5km and walks back with a constant speed of 4 kmhr. His average speed for round trip expressed in kmhr, is

In the given figure, if ∠2 = 55° and ∠5 = 60°, then the lines m and n are

In a circle, two parallel chords of lengths 4 cm and 10 cm are 5 cm apart. Then the distance of the longer chord from the centre is ________.

ΔABC≅ΔPRQ, ∠C=55∘, ∠B=65∘ and ∠P=2x+30∘ What is the valur of x ?

Choose the correct answer in each of the following : The volume of a right circular cone of height 24 cm is 1232 cm3. Its curved surface area is (a) 1254 cm2 (b) 704 cm2 (c) 550 cm2 (d) 462 cm2

Question 23 State whether the given statements are true (T) or false (F). 20 g : 100 g = 1m : 500 cm

The measure of an angle is five times its complement. The angle measures (a) 25∘ (b) 35∘ (c) 65∘ (d) 75∘

In a market, Bananas cost Rs. 24 per dozen while 10 Apples are sold for Rs. 100. Then, by how many times is an Apple costlier than a Banana?

Which of the following option satisfies the given linear equation: 4x+3y=5?