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10801.

The length ,width and height of a wall are 50m , 80cm and 4.5m respectively. 1/9th of its volume is mortar. Find the number of bricks in it if the dimension of each brick is 25cm * 10cm * 4cm.

Answer»

The length ,width and height of a wall are 50m , 80cm and 4.5m respectively. 1/9th of its volume is mortar. Find the number of bricks in it if the dimension of each brick is 25cm * 10cm * 4cm.

10802.

Which of the following experiments have equally likely outcomes? Explain.(i) A driver attempts to start a car. The car starts or does not start.(ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.(iii) A trial is made to answer a true-false question. The answer is right or wrong.(iv) A baby is born. It is a boy or a girl.

Answer»

Which of the following experiments have equally likely outcomes? Explain.



(i) A driver attempts to start a car. The car starts or does not start.



(ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.



(iii) A trial is made to answer a true-false question. The answer is right or wrong.



(iv) A baby is born. It is a boy or a girl.

10803.

A chord of a circle of radius 10 cm subtends a right angle at the centre. The area of the minor segments (given, π = 3.14) is(a) 32.5 cm2(b) 34.5 cm2(c) 28.5 cm2(d) 30.5 cm2

Answer» A chord of a circle of radius 10 cm subtends a right angle at the centre. The area of the minor segments (given, π = 3.14) is

(a) 32.5 cm2

(b) 34.5 cm2

(c) 28.5 cm2

(d) 30.5 cm2
10804.

Let PQR be an isosceles triangles. Suppose that the sides PQ and PR are equal and let the length of PQ be K cm. If ∠PQR=θ,cosθ=45 and area of triangle is M sq. cm, then which of the following is true about M?

Answer»

Let PQR be an isosceles triangles. Suppose that the sides PQ and PR are equal and let the length of PQ be K cm. If PQR=θ,cosθ=45 and area of triangle is M sq. cm, then which of the following is true about M?

10805.

If A=[x110] and A2=I then x=__

Answer»

If A=[x110] and A2=I then x=__

10806.

From the top of a cliff 92m high the angle of depression of a buoy is 20°. Calculate to the nearest metre, the distance of the buoy from the foot of the cliff.

Answer»

From the top of a cliff 92m high the angle of depression of a buoy is 20°. Calculate to the nearest metre, the distance of the buoy from the foot of the cliff.


10807.

The sum of the first 9 terms of an AP is 81 and that of its first 20 terms is 400. Find the first term and the common difference of the AP. [CBSE 2009]

Answer» The sum of the first 9 terms of an AP is 81 and that of its first 20 terms is 400. Find the first term and the common difference of the AP. [CBSE 2009]
10808.

In what ratio does the x-axis divide the join of A(2, -3) and B (5, 6)? (a) 2 : 3 (b) 3 : 5 (c) 1 : 2 (d) 2 : 1

Answer»

In what ratio does the x-axis divide the join of A(2, -3) and B (5, 6)?

(a) 2 : 3 (b) 3 : 5 (c) 1 : 2 (d) 2 : 1

10809.

A box contains 4 black beads, 6 white beads, and 10 red beads. Another box contains 7 black beads, 5 white beads, and 8 red beads. If we take one bead from each box, without looking into it, what is the probability of getting at least one black bead?

Answer» A box contains 4 black beads, 6 white beads, and 10 red beads. Another box contains 7 black beads, 5 white beads, and 8 red beads. If we take one bead from each box, without looking into it, what is the probability of getting at least one black bead?
10810.

29.how to find spin multiplicity of any subshell For eg , find it for 4d

Answer» 29.how to find spin multiplicity of any subshell For eg , find it for 4d
10811.

If the areas of two similar triangles ABC and PQR are in the ratio 9 : 16 and BC = 4.5 cm, what is the length of QR?

Answer» If the areas of two similar triangles ABC and PQR are in the ratio 9 : 16 and BC = 4.5 cm, what is the length of QR?
10812.

The positive value of k for which the equation x2 + kx + 64 = 0 and x2 − 8x + k = 0 will both have real roots, is(a) 4(b) 8(c) 12(d) 16

Answer» The positive value of k for which the equation x2 + kx + 64 = 0 and x2 − 8x + k = 0 will both have real roots, is



(a) 4

(b) 8

(c) 12

(d) 16
10813.

Identify the square matrix in the following-

Answer»

Identify the square matrix in the following-


10814.

A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete.Each step has a rise of m and a tread of m (See figure) calculate the total volume of concrete required to build the terrace.

Answer»

A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete.



Each step has a rise of m and a tread of m (See figure) calculate the total volume of concrete required to build the terrace.



10815.

Find the value of y?x + y = 1 and -x + y = -3

Answer»

Find the value of y?

x + y = 1 and -x + y = -3



10816.

​​The following table gives the frequency distribution of the percentage of marks obtained by 2300 students in a competitive examination. Marks obtained (in per cent) 11−20 21−30 31−40 41−50 51−60 61−70 71−80 Number of students 141 221 439 529 495 322 153 (a) Convert the given frequency distribution into the continuous form.(b) Find the median class and write its class mark.(c) Find the modal class and write its cumulative frequency.

Answer» ​​The following table gives the frequency distribution of the percentage of marks obtained by 2300 students in a competitive examination.

























Marks obtained

(in per cent)
11−20 21−30 31−40 41−50 51−60 61−70 71−80
Number of students 141 221 439 529 495 322 153



(a) Convert the given frequency distribution into the continuous form.



(b) Find the median class and write its class mark.



(c) Find the modal class and write its cumulative frequency.
10817.

Determine the value of 'b'.

Answer»

Determine the value of 'b'.


10818.

Question 9 2y+53=263−y

Answer» Question 9
2y+53=263y
10819.

Find the word common to the following pictures.

Answer»

Find the word common to the following pictures.

10820.

If ∣∣∣∣abcbcacab∣∣∣∣2=∣∣∣∣∣k⋅bc−a2c2b2c2k⋅ca−b2a2b2a2k⋅ab−c2∣∣∣∣∣, then value of k is

Answer»

If
abcbcacab
2
=

kbca2c2b2c2kcab2a2b2a2kabc2

, then value of k is

10821.

There are 25 red balls, 42 blue balls and 33 yellow balls in a bag. Kiran mixes the balls thoroughly inside the bag and then picks a ball at random from the bag. What is the probability that Kiran picks a blue ball?

Answer»

There are 25 red balls, 42 blue balls and 33 yellow balls in a bag. Kiran mixes the balls thoroughly inside the bag and then picks a ball at random from the bag. What is the probability that Kiran picks a blue ball?



10822.

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of the triangle DEF are90∘−12A,90∘−12B and 90∘−12C

Answer» Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of the triangle DEF are

9012A,9012B and 9012C
10823.

If the point (k – 2, k + 6) lies on the line 3x + y + 15 = 0, find the value of k.3.75

Answer» If the point (k – 2, k + 6) lies on the line 3x + y + 15 = 0, find the value of k.
  1. 3.75
10824.

The area between x = y 2 and x = 4 is divided into two equal parts by the line x = a , find the value of a .

Answer» The area between x = y 2 and x = 4 is divided into two equal parts by the line x = a , find the value of a .
10825.

Total surface area of a cone of radius 5 cm and slant height 10 cm is .(Take π=3.14)

Answer»

Total surface area of a cone of radius 5 cm and slant height 10 cm is .

(Take π=3.14)

10826.

Rajesh and Ravi are partners sharing profits in the ratio of 3 : 2. Their Balance Sheet at 31st March, 2019 stood as: BALANCE SHEET as at 31st March, 2019 Liabilities ₹ Assets ₹ Creditors 38,500 Cash 2,000 Outstanding Rent 4,000 Stock 15,000 Capital A/cs: Prepaid Insurance 1,500 Rajesh 29,000 Debtors 9,400 Ravi 15,000 Less : Provision for Doubtful Debts 400 9,000 Machinery 19,000 Building 35,000 Furniture 5,000 86,500 86,500 Raman is admitted as a new partner introducing a capital of ₹ 16,000. The new profit-sharing ratio is decided as 5 : 3 : 2. Raman is unable to bring in any cash for goodwill. So, it is decided to value the goodwill on the basis of Raman's share in the profits and the capital contributed by him. Following revaluations are made:(a) Stock to decrease by 5%;(b) Provision for Doubtful Debts is to be ₹ 500;(c) Furniture to decrease by 10%;(d) Building is valued at ₹ 40,000.Show necessary Ledger Accounts and Balance Sheet of new firm.

Answer» Rajesh and Ravi are partners sharing profits in the ratio of 3 : 2. Their Balance Sheet at 31st March, 2019 stood as:












































































BALANCE SHEET as at 31st March, 2019
Liabilities Assets
Creditors 38,500 Cash 2,000
Outstanding Rent 4,000 Stock 15,000
Capital A/cs: Prepaid Insurance 1,500
Rajesh 29,000 Debtors 9,400
Ravi 15,000 Less : Provision for Doubtful Debts 400 9,000
Machinery 19,000
Building 35,000
Furniture 5,000
86,500 86,500



Raman is admitted as a new partner introducing a capital of ₹ 16,000. The new profit-sharing ratio is decided as 5 : 3 : 2. Raman is unable to bring in any cash for goodwill. So, it is decided to value the goodwill on the basis of Raman's share in the profits and the capital contributed by him. Following revaluations are made:

(a) Stock to decrease by 5%;

(b) Provision for Doubtful Debts is to be ₹ 500;

(c) Furniture to decrease by 10%;

(d) Building is valued at ₹ 40,000.

Show necessary Ledger Accounts and Balance Sheet of new firm.
10827.

If α and β are the zeroes of a polynomial f(x) = x2 + x − 2, find the value of 1α-1β

Answer» If α and β are the zeroes of a polynomial f(x) = x2 + x − 2, find the value of 1α-1β
10828.

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag of height h. From a point, lies on the top of another tower on the same plane of height H, the angles of elevation of the top and bottom of the flag are α and β respectively. The height of the first tower is (Assume the height of first tower is more than that of the second tower)

Answer» A vertical tower stands on a horizontal plane and is surmounted by a vertical flag of height h. From a point, lies on the top of another tower on the same plane of height H, the angles of elevation of the top and bottom of the flag are α and β respectively. The height of the first tower is (Assume the height of first tower is more than that of the second tower)
10829.

In the given figure, find the area of the shaded region, where ABCD is a square of side 14 cm and all circles are of the same diameter. [CBSE 2014]

Answer» In the given figure, find the area of the shaded region, where ABCD is a square of side 14 cm and all circles are of the same diameter. [CBSE 2014]

10830.

Vihan spent ₹ 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs ₹ 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?

Answer»

Vihan spent ₹ 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs ₹ 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?

10831.

The following table represents the relation between x and y. Which of the following graphs show the missing values in the table?

Answer»

The following table represents the relation between x and y. Which of the following graphs show the missing values in the table?




10832.

In Fig. 7.248, PQ || BC and PQ :BC = 1 : 3. If ar(∆ABC) = 144 cm2, then ar(∆APQ) = ____________.

Answer» In Fig. 7.248, PQ || BC and PQ :BC = 1 : 3. If ar(∆ABC) = 144 cm2, then ar(∆APQ) = ____________.

10833.

Solve the following system of equations:8v−3u=5uv6v−5u=−2uv

Answer»

Solve the following system of equations:

8v3u=5uv

6v5u=2uv


10834.

Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

Answer» Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.
10835.

In a cricket match, a batsman hit a boundary 6 times (out of 30 balls). Find the probability that next ball he plays is not a boundary.

Answer»

In a cricket match, a batsman hit a boundary 6 times (out of 30 balls). Find the probability that next ball he plays is not a boundary.



10836.

Find the 20th term from the last term of the AP: 3, 8, 13, ...., 253.

Answer»

Find the 20th term from the last term of the AP: 3, 8, 13, ...., 253.


10837.

In the given figure, AD=3cm, AE=5cm, BD=4cm, CE=4cm, CF=2cm, BF=2.5cm, then find the pair of parallel lines and hence their lengths.

Answer» In the given figure, AD=3cm, AE=5cm, BD=4cm, CE=4cm, CF=2cm, BF=2.5cm, then find the pair of parallel lines and hence their lengths.

10838.

Find the value of α and β for which the following pair of linera equation have infinite number of solutions. 2α x+(α+β y=28 and 2x+3y=7

Answer» Find the value of α and β for which the following pair of linera equation have infinite number of solutions. 2α x+(α+β y=28 and 2x+3y=7
10839.

Question 4Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k.

Answer» Question 4

Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k.
10840.

Value of Sin 45°+ cos45°

Answer»

Value of Sin 45°+ cos45°

10841.

Step 2. Draw an arc with radius r and B as centre on the first arc at C. So, ∠COA is __. Note: Answer in degrees.

Answer»

Step 2. Draw an arc with radius r and B as centre on the first arc at C. So, COA is __.
Note: Answer in degrees.

10842.

The circle is inscribed in a triangle with sides 3, 4 and 5 cm .what is the radius of the circle is

Answer»

The circle is inscribed in a triangle with sides 3, 4 and 5 cm .what is the radius of the circle is

10843.

Pair the cards with the same answers.

Answer»

Pair the cards with the same answers.

10844.

The following table shows the marks obtained by 6 students in a class. Find the average marks of the students in the class.MarksFrequency782651852741

Answer»

The following table shows the marks obtained by 6 students in a class. Find the average marks of the students in the class.



MarksFrequency782651852741



10845.

With 200 roses, a person starts walking from his home to the temple which is 50 m far from his home. After walking each metre, he drops 2 roses. Form a series for the number of roses the person has after walking each metre.

Answer»

With 200 roses, a person starts walking from his home to the temple which is 50 m far from his home. After walking each metre, he drops 2 roses. Form a series for the number of roses the person has after walking each metre.



10846.

Is it possible to factorise every quadratic equation in which D>0??

Answer»

Is it possible to factorise every quadratic equation in which D>0??

10847.

In the given figure, two circles touch each other at C and AB is a tangent to both the circles. The measure of ∠ACB is(a) 45∘(b) 60∘(c) 90∘(d) 120∘

Answer» In the given figure, two circles touch each other at C and AB is a tangent to both the circles. The measure of ∠ACB is

(a) 45

(b) 60

(c) 90

(d) 120

10848.

If angles A, B, C to a ∆ABC from an increasing AP, then sin B =(a) 12(b) 32(c) 1(d) 12

Answer» If angles A, B, C to a ∆ABC from an increasing AP, then sin B =



(a) 12

(b) 32

(c) 1

(d) 12
10849.

In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be five times of the class to which the respective section belongs. If there are 1 to 10 classes in the school and each class has three sections, find how many trees were planted by the students?

Answer»

In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be five times of the class to which the respective section belongs. If there are 1 to 10 classes in the school and each class has three sections, find how many trees were planted by the students?

10850.

If the polynomial4x^4+2x^3-2x^2+x-1 Is divided by another polynomial x^2+2x-3 the remainder comes out to be ax+b then the values of a and b are

Answer» If the polynomial4x^4+2x^3-2x^2+x-1 Is divided by another polynomial x^2+2x-3 the remainder comes out to be ax+b then the values of a and b are