24740 + Interview Questions in Mathematics Page 212 InterviewSolution

10551.	In the given figure, ∠ABC=69∘,∠ACB=31∘.Find∠BDC
Answer» In the given figure, $∠ A B C = 69^{\circ}, ∠ A C B = 31^{\circ} . F i n d ∠ B D C$

Discussion

10552.	What is the angle formed between north and south direction?
Answer» What is the angle formed between north and south direction?

Discussion

10553.	The mean of 10 observations is 42 If each observation in data is decreased by 12 What will be the new mean of data
Answer» The mean of 10 observations is 42 If each observation in data is decreased by 12 What will be the new mean of data

Discussion

10554.	The price of 1 kg oranges is thrice the price of 1 kg apples. Which of the following linear equation represents the given statement ?(Assume the the price of 1 kg oranges to be x and of 1 kg apples to be y)
Answer» The price of 1 kg oranges is thrice the price of 1 kg apples. Which of the following linear equation represents the given statement ? (Assume the the price of 1 kg oranges to be x and of 1 kg apples to be y)

Discussion

10555.	Factorise: 4x2−9y2−2x−3y
Answer» Factorise: $4 x^{2} - 9 y^{2} - 2 x - 3 y$

Discussion

10556.	Fill In The Blanks If a pair of opposite sides of a quadrilateral are equal, then its diagonals are ___________..
Answer» Fill In The Blanks If a pair of opposite sides of a quadrilateral are equal, then its diagonals are ___________..

Discussion

10557.	How many m3 of concrete will be required to fill a cylindrical column 10 m long and 7 m in diameter?
Answer» How many m³ of concrete will be required to fill a cylindrical column 10 m long and 7 m in diameter?

Discussion

10558.	Express the following rational numbers as decimals:(i) 23(ii) -49(iii) -215(iv) -2213(v) 437999(vi) 3326
Answer» Express the following rational numbers as decimals: (i) $\frac{2}{3}$ (ii) $- \frac{4}{9}$ (iii) $\frac{- 2}{15}$ (iv) $- \frac{22}{13}$ (v) $\frac{437}{999}$ (vi) $\frac{33}{26}$

Discussion

10559.	If 5 cos θ =6 sin θ 12 sin θ−3 cos θ12 sin θ+3 cos θ =__________________
Answer» If $5 c o s θ = 6 s i n θ$ $\frac{12 s i n θ - 3 c o s θ}{12 s i n θ + 3 c o s θ}$ =__________________

10559.

If 5 cos θ =6 sin θ 12 sin θ−3 cos θ12 sin θ+3 cos θ =__________________

Answer»

If $5 c o s θ = 6 s i n θ$

$\frac{12 s i n θ - 3 c o s θ}{12 s i n θ + 3 c o s θ}$

=__________________

Discussion

10560.	Find the pq form of the number 0.123¯¯¯¯¯¯¯¯456, where p and q are integers and q≠0.
Answer» Find the $\frac{p}{q}$ form of the number $0.123 ¯ ¯¯¯¯¯¯ ¯ 456$ , where p and q are integers and $q \neq 0$ .

Discussion

10561.	ABCD and PBCQ are rectangle and parallelogram respectively as shown in the figure. If AQ \|\| BC and area of the rectangle ABCD is 10 cm2, then find the area of the parallelogram PBCQ.
Answer» ABCD and PBCQ are rectangle and parallelogram respectively as shown in the figure. If AQ \|\| BC and area of the rectangle ABCD is 10 $c m^{2}$ , then find the area of the parallelogram PBCQ.

Discussion

10562.	10.A smooth wedge A is fitted in a chamber hanging from a fixed ceiling near the earth's surface. A block B placed at the top of the wedge takes time T to slide down the length of the wedge and the cable supporting the chamber is broken at the same instant, the block will be (a) take a longer time T to slide down the wedge (b) take a time shorter than T to slide down the wedge (c) remain at the top of the wedge (d) jump off the wedge
Answer» 10.A smooth wedge A is fitted in a chamber hanging from a fixed ceiling near the earth's surface. A block B placed at the top of the wedge takes time T to slide down the length of the wedge and the cable supporting the chamber is broken at the same instant, the block will be (a) take a longer time T to slide down the wedge (b) take a time shorter than T to slide down the wedge (c) remain at the top of the wedge (d) jump off the wedge

Discussion

10563.	Question 3 In a right circular cone, height, radius and slant height need not always to be the sides of a right triangle.
Answer» Question 3 In a right circular cone, height, radius and slant height need not always to be the sides of a right triangle.

Discussion

10564.	Draw the graph of each of the following linear equations in two variables: (i) x+y=4 (ii) x−y=2 (iii) −x+y=6 (iv) y=2x (v) 3x+5y=15 (vi) x2−y3=2 (vii) x−23=y−3 (viii) 2y= −x+1
Answer» Draw the graph of each of the following linear equations in two variables: $(i) x + y = 4$ $(i i) x - y = 2$ $(i i i) - x + y = 6$ $(i v) y = 2 x$ $(v) 3 x + 5 y = 15$ (vi) $\frac{x}{2} - \frac{y}{3} = 2$ (vii) $\frac{x - 2}{3} = y - 3$ $(v i i i) 2 y = - x + 1$

10564.

Draw the graph of each of the following linear equations in two variables: (i) x+y=4 (ii) x−y=2 (iii) −x+y=6 (iv) y=2x (v) 3x+5y=15 (vi) x2−y3=2 (vii) x−23=y−3 (viii) 2y= −x+1

Answer»

Draw the graph of each of the following linear equations in two variables:

$(i) x + y = 4$ $(i i) x - y = 2$ $(i i i) - x + y = 6$

$(i v) y = 2 x$ $(v) 3 x + 5 y = 15$ (vi) $\frac{x}{2} - \frac{y}{3} = 2$

(vii) $\frac{x - 2}{3} = y - 3$ $(v i i i) 2 y = - x + 1$

Discussion

10565.	A circle is inscribed in a square of side 28 cm. Find the area of the circle.
Answer» A circle is inscribed in a square of side 28 cm. Find the area of the circle.

Discussion

10566.	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.
Answer» 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

10567.	A chord 8 cm long is 3 cm away from the centre of the circle A. Calculate the length of a chord that is 4 cm away from the centre of circle A.
Answer» A chord 8 cm long is 3 cm away from the centre of the circle A. Calculate the length of a chord that is 4 cm away from the centre of circle A.

Discussion

10568.	The length of the diagonals of a rhombus of a rhombus are 8 cm and 14 cm. The area of oneof the 4 triangles formed by the diagonals is(a) 12 cm2 (b) 8 cm2 (c) 16 cm2 (d) 14 cm2
Answer» The length of the diagonals of a rhombus of a rhombus are 8 cm and 14 cm. The area of one of the 4 triangles formed by the diagonals is (a) 12 cm² (b) 8 cm² (c) 16 cm² (d) 14 cm²

Discussion

10569.	Q.Express the HCF of 468 and 222 as 486x + 222y in two different ways where x, y are integers.
Answer» Q.Express the HCF of 468 and 222 as 486x + 222y in two different ways where x, y are integers.

Discussion

10570.	The maximum number of common tangents that can be drawn for two external touching circles is/are ___.
Answer» The maximum number of common tangents that can be drawn for two external touching circles is/are ___.

Discussion

10571.	State whether true or false.All rectangles are squares.
Answer» State whether true or false. All rectangles are squares.

10571.

State whether true or false.All rectangles are squares.

Answer»

State whether true or false.

All rectangles are squares.

Discussion

10572.	Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice does she need to prepare?
Answer» Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice does she need to prepare?

Discussion

10573.	If area (A) of a triangle is equal to half the product of the base (b) & height (h), expressed if symbolically, then A is equal to
Answer» If area (A) of a triangle is equal to half the product of the base (b) & height (h), expressed if symbolically, then A is equal to

Discussion

10574.	Find the radius of the circle shown below:
Answer» Find the radius of the circle shown below:

10574.

Find the radius of the circle shown below:

Answer»

Find the radius of the circle shown below:

Discussion

10575.	(i) If a(y+z) = b(z+x) = c(x+y) and out of a, b, c no two of them are equal then show that, y - za b - c= z - x b c - a = x - yc a - b(ii) If x3x - y - z = y3y - z - x = z3z - x - y and x + y + z ≠ 0 then show that the value of each ratio is equal to 1.(iii) If ax + byx + y = bx +azx + z = ay + bzy + z and x + y + z ≠ 0 then show that a + b2.(iv) If y + za = z + xb = x + yc then show that xb + c - a = yc + a - b = za + b - c .(v) If 3x - 5y5z + 3y = x + 5zy - 5x = y - zx - z then show that every ratio = xy.
Answer» (i) If a(y+z) = b(z+x) = c(x+y) and out of a, b, c no two of them are equal then show that, $\frac{y - z}{a (b - c)} = \frac{z - x}{b (c - a)} = \frac{x - y}{c (a - b)}$ (ii) If $\frac{x}{3 x - y - z} = \frac{y}{3 y - z - x} = \frac{z}{3 z - x - y}$ and $x + y + z \neq 0$ then show that the value of each ratio is equal to 1. (iii) If $\frac{a x + b y}{x + y} = \frac{b x + a z}{x + z} = \frac{a y + b z}{y + z}$ and $x + y + z \neq 0$ then show that $\frac{a + b}{2}$ . (iv) If $\frac{y + z}{a} = \frac{z + x}{b} = \frac{x + y}{c}$ then show that $\frac{x}{b + c - a} = \frac{y}{c + a - b} = \frac{z}{a + b - c}$ . (v) If $\frac{3 x - 5 y}{5 z + 3 y} = \frac{x + 5 z}{y - 5 x} = \frac{y - z}{x - z}$ then show that every ratio = $\frac{x}{y}$ .

Discussion

10576.	When simplified (256) -(4-3/2) is (a) 8(b) 18(c) 2(d) 12
Answer» When simplified $(256)^{- (4^{- 3 / 2})}$ is (a) 8 (b) $\frac{1}{8}$ (c) 2 (d) $\frac{1}{2}$

Discussion

10577.	Using the given graph which of the following could be the equation of line L1.
Answer» Using the given graph which of the following could be the equation of line $L_{1}$ .

10577.

Using the given graph which of the following could be the equation of line L1.

Answer»

Using the given graph which of the following could be the equation of line $L_{1}$ .

Discussion

10578.	In a right triangle ABC right-angled at C,P and Q are the points on the sides CA and CB respectively,which divide these sides in the ratio 2:1. Prove that1. 9AQ^2= 9AC^2 +4BC^2.2. 9BP^2=9BC^2+4AC^2.3. 9(AQ^2+BP^2)=13AB^2.
Answer» In a right triangle ABC right-angled at C,P and Q are the points on the sides CA and CB respectively,which divide these sides in the ratio 2:1. Prove that 1. 9AQ^2= 9AC^2 +4BC^2. 2. 9BP^2=9BC^2+4AC^2. 3. 9(AQ^2+BP^2)=13AB^2.

Discussion

10579.	The points O(0, 0), A(5, 0) and B(0, 5) are joined in order to form a/an __________ triangle.
Answer» The points O(0, 0), A(5, 0) and B(0, 5) are joined in order to form a/an __________ triangle.

Discussion

10580.	The weight of 10 students (in kg) are 55, 40, 35, 52, 60, 38, 36, 45, 31, 44. The median weight is (a) 40 kg (b) 41 kg (c) 42 kg (d) 44 kg
Answer» The weight of 10 students (in kg) are 55, 40, 35, 52, 60, 38, 36, 45, 31, 44. The median weight is (a) 40 kg (b) 41 kg (c) 42 kg (d) 44 kg

Discussion

10581.	Is value of the polynomial and the zero of the polynomial are same?
Answer» Is value of the polynomial and the zero of the polynomial are same?

Discussion

10582.	Find range : f(x) =√log(cos(sinx))
Answer» Find range : f(x) =√log(cos(sinx))

Discussion

10583.	What is the missing term in the series given below?
Answer» What is the missing term in the series given below?

Discussion

10584.	The donations made by 30 houses in a locality are as follows:42, 35, 28, 12, 14, 16, 47, 50, 52, 27,34, 42, 26, 28, 36, 15, 64, 65, 38, 40,22, 24, 29, 31, 39, 48, 53, 62, 23, 43.Construct a grouped frequency distribution with the class size 10.
Answer» The donations made by 30 houses in a locality are as follows: 42, 35, 28, 12, 14, 16, 47, 50, 52, 27, 34, 42, 26, 28, 36, 15, 64, 65, 38, 40, 22, 24, 29, 31, 39, 48, 53, 62, 23, 43. Construct a grouped frequency distribution with the class size 10.

Discussion

10585.	Question 9If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.
Answer» Question 9 If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

Discussion

10586.	Select all the numbers which are positive.
Answer» Select all the numbers which are positive.

Discussion

10587.	In the figure, PQ \|\| RS, ∠AEF=950, ∠BHS=1100 and ∠ABC=x0. Then the value of x is
Answer» In the figure, PQ \|\| RS, $∠ A E F = 95^{0}$ , $∠ B H S = 110^{0}$ and $∠ A B C = x^{0}$ . Then the value of x is

10587.

In the figure, PQ || RS, ∠AEF=950, ∠BHS=1100 and ∠ABC=x0. Then the value of x is

Answer»

In the figure, PQ || RS, $∠ A E F = 95^{0}$ , $∠ B H S = 110^{0}$ and $∠ A B C = x^{0}$ . Then the value of x is

Discussion

10588.	17. How to find side of a square if square is inside the circle whose circumference is 100
Answer» 17. How to find side of a square if square is inside the circle whose circumference is 100

Discussion

10589.	If -1,1 & 3 are the zeroes of a cubic polynomial, which of the following is the correct expression of the polynomial?
Answer» If -1,1 & 3 are the zeroes of a cubic polynomial, which of the following is the correct expression of the polynomial?

Discussion

10590.	The decimal expansion that a rational number cannot have is(a) 0.25(b) 0.2528¯(c) 0.2528¯(d) 0.5030030003...
Answer» The decimal expansion that a rational number cannot have is (a) 0.25 (b) $0.25 \bar{28}$ (c) $0 . \bar{2528}$ (d) 0.5030030003...

Discussion

10591.	ABCD is a rhombus such that ∠ACB=50∘. Then, ∠ADB= ? (a) 40∘ (b) 25∘ (c) 65∘ (d) 130∘
Answer» ABCD is a rhombus such that $∠ A C B = 50^{\circ}$ . Then, $∠ A D B =$ ? (a) $40^{\circ}$ (b) $25^{\circ}$ (c) $65^{\circ}$ (d) $130^{\circ}$

10591.

ABCD is a rhombus such that ∠ACB=50∘. Then, ∠ADB= ? (a) 40∘ (b) 25∘ (c) 65∘ (d) 130∘

Answer»

ABCD is a rhombus such that $∠ A C B = 50^{\circ}$ . Then, $∠ A D B =$ ?

(a) $40^{\circ}$

(b) $25^{\circ}$

(c) $65^{\circ}$

(d) $130^{\circ}$

Discussion

10592.	A variable straight line of slope 4 intersects the hyperbola xy=1 at two points . Find the locus of the point which devide the line segment between the two points in the ratio 1 : 2 .
Answer» A variable straight line of slope 4 intersects the hyperbola xy=1 at two points . Find the locus of the point which devide the line segment between the two points in the ratio 1 : 2 .

Discussion

10593.

Show the effect of following transaction on the accounting equation: Rs (a) Manoj started business with (i) Cash ₹2,30,000 (ii) Goods ₹1,00,000 (iii) Building ₹2,00,000 (b) He purchased goods for cash ₹50,000 (c) He sold goods(costing Rs 20,000) ₹35,000 (d) He purchased goods from Rahul ₹55,000 (e) He sold goods to Varun (Costing Rs 52,000) ₹60,000 (f) He paid cash to Rahul in full settlement ₹53,000 (g) Salary paid by him ₹20,000 (h) Received cash from Varun in full settlement ₹59,000 (i) Rent outstanding ₹3,000 (j) Prepaid Insurance ₹2,000 (k) Commission received by him ₹13,000 (l) Amount withdrawn by him for personal use ₹20,000 (m) Depreciation charge on building ₹10,000 (n) Fresh capital invested ₹50,000 (o) Purchased goods from Rakhi ₹10,000

Answer» Show the effect of following transaction on the accounting equation:

		Rs
(a)	Manoj started business with
	(i) Cash	₹2,30,000
	(ii) Goods	₹1,00,000
	(iii) Building	₹2,00,000
(b)	He purchased goods for cash	₹50,000
(c)	He sold goods(costing Rs 20,000)	₹35,000
(d)	He purchased goods from Rahul	₹55,000
(e)	He sold goods to Varun (Costing Rs 52,000)	₹60,000
(f)	He paid cash to Rahul in full settlement	₹53,000
(g)	Salary paid by him	₹20,000
(h)	Received cash from Varun in full settlement	₹59,000
(i)	Rent outstanding	₹3,000
(j)	Prepaid Insurance	₹2,000
(k)	Commission received by him	₹13,000
(l)	Amount withdrawn by him for personal use	₹20,000
(m)	Depreciation charge on building	₹10,000
(n)	Fresh capital invested	₹50,000
(o)	Purchased goods from Rakhi	₹10,000

Discussion

10594.	Question 6: Consider the following figure of line ←−→MN. Say whether following statement is true or false in the context of the given figure:(a) Ray −−→OM is not opposite to ray −−→OP.
Answer» Question 6: Consider the following figure of line $\leftarrow - \to M N$ . Say whether following statement is true or false in the context of the given figure: (a) Ray $- - \to O M$ is not opposite to ray $- - \to O P$ .

10594.

Question 6: Consider the following figure of line ←−→MN. Say whether following statement is true or false in the context of the given figure:(a) Ray −−→OM is not opposite to ray −−→OP.

Answer»

Question 6: Consider the following figure of line $\leftarrow - \to M N$ . Say whether following statement is true or false in the context of the given figure:

(a) Ray $- - \to O M$ is not opposite to ray $- - \to O P$ .

Discussion

10595.	Factorise:5 – 20x2
Answer» Factorise: 5 – 20x²

Discussion

10596.	Which of the following statements is correct?
Answer» Which of the following statements is correct?

Discussion

10597.	Choose the correct answer in each of the following : A conical tent is to accommodate 11 persons such that each person occupies 4m2 of space on the ground.They have 220m3 of air to breathe. The height of the cone is (a) 14 m (b) 15 m (c) 16 m (d) 20 m
Answer» Choose the correct answer in each of the following : A conical tent is to accommodate 11 persons such that each person occupies $4 m^{2}$ of space on the ground.They have $220 m^{3}$ of air to breathe. The height of the cone is (a) 14 m (b) 15 m (c) 16 m (d) 20 m

10597.

Choose the correct answer in each of the following : A conical tent is to accommodate 11 persons such that each person occupies 4m2 of space on the ground.They have 220m3 of air to breathe. The height of the cone is (a) 14 m (b) 15 m (c) 16 m (d) 20 m

Answer»

Choose the correct answer in each of the following :

A conical tent is to accommodate 11 persons such that each person occupies $4 m^{2}$ of space on the ground.They have $220 m^{3}$ of air to breathe. The height of the cone is

(a) 14 m (b) 15 m (c) 16 m (d) 20 m

Discussion

10598.	Question 12The number obtained on rationalising the denominator of 1√7−2 is A) √7+23B) √7−23C) √7+25D) √7+245
Answer» Question 12 The number obtained on rationalising the denominator of $\frac{1}{\sqrt{7} - 2}$ is A) $\frac{\sqrt{7} + 2}{3}$ B) $\frac{\sqrt{7} - 2}{3}$ C) $\frac{\sqrt{7} + 2}{5}$ D) $\frac{\sqrt{7} + 2}{45}$

Discussion

10599.	Find five rational numbers between 35 and 23.
Answer» Find five rational numbers between $\frac{3}{5} and \frac{2}{3}$ .

Discussion

10600.	Area of the region bounded by straight line y=x, y=2x, Andy=2
Answer» Area of the region bounded by straight line y=x, y=2x, Andy=2

Discussion

Explore topic-wise InterviewSolutions in .

In the given figure, ∠ABC=69∘,∠ACB=31∘.Find∠BDC

What is the angle formed between north and south direction?

The mean of 10 observations is 42 If each observation in data is decreased by 12 What will be the new mean of data

The price of 1 kg oranges is thrice the price of 1 kg apples. Which of the following linear equation represents the given statement ?(Assume the the price of 1 kg oranges to be x and of 1 kg apples to be y)

Factorise: 4x2−9y2−2x−3y

Fill In The Blanks If a pair of opposite sides of a quadrilateral are equal, then its diagonals are ___________..

How many m3 of concrete will be required to fill a cylindrical column 10 m long and 7 m in diameter?

Express the following rational numbers as decimals:(i) 23(ii) -49(iii) -215(iv) -2213(v) 437999(vi) 3326

If 5 cos θ =6 sin θ 12 sin θ−3 cos θ12 sin θ+3 cos θ =__________________

Find the pq form of the number 0.123¯¯¯¯¯¯¯¯456, where p and q are integers and q≠0.

ABCD and PBCQ are rectangle and parallelogram respectively as shown in the figure. If AQ || BC and area of the rectangle ABCD is 10 cm2, then find the area of the parallelogram PBCQ.

Question 3 In a right circular cone, height, radius and slant height need not always to be the sides of a right triangle.

Draw the graph of each of the following linear equations in two variables: (i) x+y=4 (ii) x−y=2 (iii) −x+y=6 (iv) y=2x (v) 3x+5y=15 (vi) x2−y3=2 (vii) x−23=y−3 (viii) 2y= −x+1

A circle is inscribed in a square of side 28 cm. Find the area of the circle.

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.

A chord 8 cm long is 3 cm away from the centre of the circle A. Calculate the length of a chord that is 4 cm away from the centre of circle A.

The length of the diagonals of a rhombus of a rhombus are 8 cm and 14 cm. The area of oneof the 4 triangles formed by the diagonals is(a) 12 cm2 (b) 8 cm2 (c) 16 cm2 (d) 14 cm2

Q.Express the HCF of 468 and 222 as 486x + 222y in two different ways where x, y are integers.

The maximum number of common tangents that can be drawn for two external touching circles is/are ___.

State whether true or false.All rectangles are squares.

Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice does she need to prepare?

If area (A) of a triangle is equal to half the product of the base (b) &amp; height (h), expressed if symbolically, then A is equal to

Find the radius of the circle shown below:

When simplified (256) -(4-3/2) is (a) 8(b) 18(c) 2(d) 12

Using the given graph which of the following could be the equation of line L1.

In a right triangle ABC right-angled at C,P and Q are the points on the sides CA and CB respectively,which divide these sides in the ratio 2:1. Prove that1. 9AQ^2= 9AC^2 +4BC^2.2. 9BP^2=9BC^2+4AC^2.3. 9(AQ^2+BP^2)=13AB^2.

The points O(0, 0), A(5, 0) and B(0, 5) are joined in order to form a/an __________ triangle.

The weight of 10 students (in kg) are 55, 40, 35, 52, 60, 38, 36, 45, 31, 44. The median weight is (a) 40 kg (b) 41 kg (c) 42 kg (d) 44 kg

Is value of the polynomial and the zero of the polynomial are same?

Find range : f(x) =√log(cos(sinx))

What is the missing term in the series given below?

The donations made by 30 houses in a locality are as follows:42, 35, 28, 12, 14, 16, 47, 50, 52, 27,34, 42, 26, 28, 36, 15, 64, 65, 38, 40,22, 24, 29, 31, 39, 48, 53, 62, 23, 43.Construct a grouped frequency distribution with the class size 10.

Question 9If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

Select all the numbers which are positive.

In the figure, PQ || RS, ∠AEF=950, ∠BHS=1100 and ∠ABC=x0. Then the value of x is

17. How to find side of a square if square is inside the circle whose circumference is 100

If -1,1 &amp; 3 are the zeroes of a cubic polynomial, which of the following is the correct expression of the polynomial?

The decimal expansion that a rational number cannot have is(a) 0.25(b) 0.2528¯(c) 0.2528¯(d) 0.5030030003...

ABCD is a rhombus such that ∠ACB=50∘. Then, ∠ADB= ? (a) 40∘ (b) 25∘ (c) 65∘ (d) 130∘

A variable straight line of slope 4 intersects the hyperbola xy=1 at two points . Find the locus of the point which devide the line segment between the two points in the ratio 1 : 2 .

Question 6: Consider the following figure of line ←−→MN. Say whether following statement is true or false in the context of the given figure:(a) Ray −−→OM is not opposite to ray −−→OP.

Factorise:5 – 20x2

Which of the following statements is correct?

Choose the correct answer in each of the following : A conical tent is to accommodate 11 persons such that each person occupies 4m2 of space on the ground.They have 220m3 of air to breathe. The height of the cone is (a) 14 m (b) 15 m (c) 16 m (d) 20 m

Question 12The number obtained on rationalising the denominator of 1√7−2 is A) √7+23B) √7−23C) √7+25D) √7+245

Find five rational numbers between 35 and 23.

Area of the region bounded by straight line y=x, y=2x, Andy=2

If area (A) of a triangle is equal to half the product of the base (b) & height (h), expressed if symbolically, then A is equal to

If -1,1 & 3 are the zeroes of a cubic polynomial, which of the following is the correct expression of the polynomial?