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7401.

If the sum of all the frequencies is 24, then the value of z is:Variable (x)12345Frequencyz5612

Answer»

If the sum of all the frequencies is 24, then the value of z is:

Variable (x)12345Frequencyz5612



7402.

17. ABC is a right triangle such that AB=AC and bisector of angle C intersects the side AB at D. Prove that AC+AD=BC

Answer» 17. ABC is a right triangle such that AB=AC and bisector of angle C intersects the side AB at D. Prove that AC+AD=BC
7403.

In a garden, a particular rose blooms in a day and closes at night. It stays open upto 10 hours. Which of the following graphs show the inequality?

Answer»

In a garden, a particular rose blooms in a day and closes at night. It stays open upto 10 hours. Which of the following graphs show the inequality?

7404.

The probability of throwing a number greater than 2 with a fair die is [CBSE 2011](a) 25(b) 56(c) 13(d) 23

Answer» The probability of throwing a number greater than 2 with a fair die is [CBSE 2011]



(a) 25

(b) 56

(c) 13

(d) 23
7405.

In Fig. ABC is a right-angled traingle, ∠B=90∘ AB = 28 cm and BC = 21 cm. With AC as diameter a semicircle is drawn and with BC as radius a quarter circle is drawn. Find the area of the shaded region correct to two decimal places.

Answer»

In Fig. ABC is a right-angled traingle, B=90 AB = 28 cm and BC = 21 cm. With AC as diameter a semicircle is drawn and with BC as radius a quarter circle is drawn. Find the area of the shaded region correct to two decimal places.

7406.

What is the value of the inradius 'r' in the given triangle?

Answer»

What is the value of the inradius 'r' in the given triangle?


7407.

If p(x)=x2+2x+3 is divided by x–1,then what is the remainder?

Answer» If p(x)=x2+2x+3 is divided by x1,then what is the remainder?
7408.

Ashish, Aakash and Amit are partners sharing profits and losses equally. The Balance Sheet as at 31st March, 2019 was as follows: Liabilities Amount (₹) Assets Amount (₹) Sundry Creditors 75,000 Cash in Hand 24,000 General Reserve 90,000 Cash at Bank 1,40,000 Capital A/cs: Sundry Debtors 80,000 Ashish 3,00,000 Stock 1,40,000 Aakash 3,00,000 Land and Building 4,00,000 Amit 2,75,000 8,75,000 Machinery 2,50,000 Advertisement Suspense 6,000 10,40,000 10,40,000 ​The partners decided to share profits in the ratio of 2 : 2 : 1 w.e.f. 1st April, 2019. They also decided that:(i) Value of stock to be reduced to ₹ 1,25,000.(ii) Value of machinery to be decreased by 10%.(iii) Land and Building to be appreciated by ₹ 62,000.(iv) Provision for Doubtful Debts to be made 5% on Sundry Debtors.(v) Aakash was to carry out reconstitution of the firm at a remuneration of ₹ 10,000. Pass necessary Journal entries to give effect to the above.

Answer» Ashish, Aakash and Amit are partners sharing profits and losses equally. The Balance Sheet as at 31st March, 2019 was as follows:


















































































Liabilities



Amount

(₹)



Assets



Amount

(₹)


Sundry Creditors 75,000 Cash in Hand 24,000
General Reserve 90,000 Cash at Bank 1,40,000
Capital A/cs: Sundry Debtors

80,000


Ashish

3,00,000


Stock 1,40,000
Aakash 3,00,000 Land and Building 4,00,000
Amit

2,75,000


8,75,000 Machinery 2,50,000
Advertisement Suspense 6,000
10,40,000 10,40,000







​The partners decided to share profits in the ratio of 2 : 2 : 1 w.e.f. 1st April, 2019. They also decided that:

(i) Value of stock to be reduced to ₹ 1,25,000.

(ii) Value of machinery to be decreased by 10%.

(iii) Land and Building to be appreciated by ₹ 62,000.

(iv) Provision for Doubtful Debts to be made 5% on Sundry Debtors.

(v) Aakash was to carry out reconstitution of the firm at a remuneration of ₹ 10,000.

Pass necessary Journal entries to give effect to the above.
7409.

Find the coordinates of the point which is equidistant from the three vertices A(2x, 0) O (0,0) and B(0,2y) of ∆ AOB .

Answer» Find the coordinates of the point which is equidistant from the three vertices A(2x, 0) O (0,0) and B(0,2y) of AOB .
7410.

How to know when we have to use H.C.F and L.C.M in word based questions.

Answer» How to know when we have to use H.C.F and L.C.M in word based questions.
7411.

Question 5A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 23.Find the number of blue balls in the jar.

Answer» Question 5

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 23.

Find the number of blue balls in the jar.
7412.

If 2x, x + 10, 3x + 2 are in AP. Find the value of x. __

Answer»

If 2x, x + 10, 3x + 2 are in AP. Find the value of x.


__
7413.

If abcissa is thrice the ordinate, and line passes through origin, find coefficients of a,b,c.

Answer»

If abcissa is thrice the ordinate, and line passes through origin, find coefficients of a,b,c.

7414.

Question 2 (ii)Find the surface area of a sphere of diameter:(ii) 21 cm[Assume π=227]

Answer»

Question 2 (ii)

Find the surface area of a sphere of diameter:



(ii) 21 cm



[Assume π=227]



7415.

Asin and Shreyas are partners in a firm. They admit Ajay as a new partner with 1/5th share in the profits of the firm. Ajay brings ₹ 5,00,000 as his share of capital. The value of the total assets of the firm was ₹ 15,00,000 and outside liabilities were valued at ₹ 5,00,000 on that date. Give necessary Journal entry to record goodwill at the time of Ajay's admission. Also show your workings.

Answer» Asin and Shreyas are partners in a firm. They admit Ajay as a new partner with 1/5th share in the profits of the firm. Ajay brings ₹ 5,00,000 as his share of capital. The value of the total assets of the firm was ₹ 15,00,000 and outside liabilities were valued at ₹ 5,00,000 on that date. Give necessary Journal entry to record goodwill at the time of Ajay's admission. Also show your workings.
7416.

32. The surface areas of two spheres are in the rati o 1:4. Findthe ratio of their volumes.

Answer» 32. The surface areas of two spheres are in the rati o 1:4. Findthe ratio of their volumes.
7417.

N is a three digit positive number ,if it exceeds the three digit formed by reversing the digits by 594 ,then the number of possible numbers can be

Answer» N is a three digit positive number ,if it exceeds the three digit formed by reversing the digits by 594 ,then the number of possible numbers can be
7418.

A cricket ball of radius R is exactly fitted in a cylindrical tin. The ratio of surface areas of cricket ball to the tin is

Answer»

A cricket ball of radius R is exactly fitted in a cylindrical tin. The ratio of surface areas of cricket ball to the tin is

7419.

cos θ1−tan θ+sin θ1−cot θ= ___

Answer»

cos θ1tan θ+sin θ1cot θ= ___


7420.

Check whether − 150 is a term of the A.P. 11, 8, 5, 2, …

Answer»

Check whether − 150 is a term of the A.P. 11, 8, 5, 2, …

7421.

What would be the area of right isosceles triangle of side length a?

Answer»

What would be the area of right isosceles triangle of side length a?




7422.

A=(1,2,3),B=(4,5,7),C=(−4,3,−6),D=(2,k,2) are four points. If the lines AB and CD are parallel, then k=

Answer» A=(1,2,3),B=(4,5,7),C=(4,3,6),D=(2,k,2) are four points. If the lines AB and CD are parallel, then k=
7423.

The operation in which we obtain the elements that are only in set A but not in set B is __________ .

Answer»

The operation in which we obtain the elements that are only in set A but not in set B is __________ .


7424.

If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.

Answer» If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.
7425.

What is the central angle of the sector needed to make a cone of base-radius 10 centimetres and slant height 25 centimetres?

Answer»

What is the central angle of the sector needed to make a cone of base-radius 10 centimetres and slant height 25 centimetres?

7426.

Question 2Write True or False and justify your answer :​​​​​​​​​​​​​​Two chords AB and AC of a circle with the centre O are on the opposite sides of OA. Then ∠OAB=∠OAC.

Answer» Question 2

Write True or False and justify your answer :​​​​​​​

​​​​​​​

Two chords AB and AC of a circle with the centre O are on the opposite sides of OA. Then OAB=OAC.
7427.

3cos2 60o + 2 cot2 30o − 5 sin2 45o = ? (a) 136 (a) 174 (c) 1 (d) 4

Answer»

3cos2 60o + 2 cot2 30o 5 sin2 45o = ?

(a) 136 (a) 174 (c) 1 (d) 4

7428.

A person walking along a straight road observes that point 1km apart, the angles of elevation of a pole in front of him are 30 and 75 . Find the of the pole

Answer» A person walking along a straight road observes that point 1km apart, the angles of elevation of a pole in front of him are 30 and 75 . Find the of the pole
7429.

If sec(4A)=cosec(A−20°), where 4A is an acute angle, then what is the value of A?

Answer»

If sec(4A)=cosec(A20°), where 4A is an acute angle, then what is the value of A?

7430.

Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. Find Rohan's present age.

Answer»

Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. Find Rohan's present age.


7431.

Fig. 7.239 ∠ABC = 90° BC – 10 cm, CD = 6 cm, then AD = __________.

Answer» Fig. 7.239 ∠ABC = 90° BC – 10 cm, CD = 6 cm, then AD = __________.

7432.

For an arithmetic sequence, what is the sum of three consecutive terms?

Answer»

For an arithmetic sequence, what is the sum of three consecutive terms?


7433.

The length of a rectangular park is twice its breadth and its perimeter is 840 m.Find the area of the park.

Answer»

The length of a rectangular park is twice its breadth and its perimeter is 840 m.Find the area of the park.

7434.

If the mean of x1 and x2 is M1 and that of x1, x2, x3, x4 is M2, then the mean of ax1, ax2, x3a, x4a is _____.

Answer»

If the mean of x1 and x2 is M1 and that of x1, x2, x3, x4 is M2, then the mean of ax1, ax2, x3a, x4a
is _____.

7435.

Find the value of 1−tan230∘1+tan230∘

Answer»

Find the value of

1tan2301+tan230


7436.

A container, open at the top, is in the form of a frustum of a cone of height 24 cm with radii of its lower and upper circular ends as 8 cm and 20 cm, respectively. Find the cost of milk which can completely fill the container at the rate of ₹21 per litre. [CBSE 2014]

Answer» A container, open at the top, is in the form of a frustum of a cone of height 24 cm with radii of its lower and upper circular ends as 8 cm and 20 cm, respectively. Find the cost of milk which can completely fill the container at the rate of 21 per litre. [CBSE 2014]
7437.

For a rectangular field of area 3 sq. units, the length is one unit more than twice the breadth that measures ‘x’ units. The quadratic equation representing the situation is:

Answer»

For a rectangular field of area 3 sq. units, the length is one unit more than twice the breadth that measures ‘x’ units. The quadratic equation representing the situation is:


7438.

Solve the following pair of equations using cross multiplication method.x + 2y = -2 , x - y = 4

Answer» Solve the following pair of equations using cross multiplication method.

x + 2y = -2 , x - y = 4
7439.

Question 16D, E and F are respectively the mid-points of the sides AB, BC and CA of a ΔABC. Prove that by joining these mid-points D, E and F, the ΔABC is divided into four congruent triangles.

Answer» Question 16

D, E and F are respectively the mid-points of the sides AB, BC and CA of a ΔABC. Prove that by joining these mid-points D, E and F, the ΔABC is divided into four congruent triangles.
7440.

If the mean of the following data is 17 then the value of p is ___ . xi10p182125fi1015799

Answer»

If the mean of the following data is 17 then the value of p is ___ .



xi10p182125fi1015799

7441.

If the lengths of the sides BC, CA and AB of a ΔABC are a, b and c respectively and AD is the bisector of ∠A then find the lengths of BD and DC.

Answer»

If the lengths of the sides BC, CA and AB of a ΔABC are a, b and c respectively and AD is the bisector of A then find the lengths of BD and DC.

7442.

A play ground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m, find the area of the playground. (Take π = 22.7).

Answer» A play ground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m, find the area of the playground. (Take π = 22.7).
7443.

1417×1417 can be represented as

Answer»

1417×1417 can be represented as


7444.

Which of the following is the graph representing2x−y=10?

Answer»

Which of the following is the graph representing

2xy=10?

7445.

Find any two solutions of the linear equation : 3x−3y=9

Answer» Find any two solutions of the linear equation : 3x3y=9


7446.

Imagine a picture of a scoop of ice-cream in a cone. Consider the cone to be in equilateral shape and the scoop to fit at the top of the cone. What would be the area of the picture if the side of the equilateral triangle is, a = 6 cm?

Answer»

Imagine a picture of a scoop of ice-cream in a cone. Consider the cone to be in equilateral shape and the scoop to fit at the top of the cone. What would be the area of the picture if the side of the equilateral triangle is, a = 6 cm?




7447.

If a = 23 ✕ 3, b = 2 ✕ 3 ✕ 5, c = 3n ✕ 5 and LCM (a, b, c) = 23 ✕ 32 ✕ 5, then n =(a) 1(b) 2(c) 3(d) 4

Answer» If a = 23 ✕ 3, b = 2 ✕ 3 ✕ 5, c = 3n ✕ 5 and LCM (a, b, c) = 23 ✕ 32 ✕ 5, then n =



(a) 1

(b) 2

(c) 3

(d) 4
7448.

The height of a cone is 60 cm. A small cone is cut off at the top by a plane parallel to the base and its volume is 164th the volume of original cone. The height from the base at which the section is made is:

Answer» The height of a cone is 60 cm. A small cone is cut off at the top by a plane parallel to the base and its volume is 164th the volume of original cone. The height from the base at which the section is made is:
7449.

64.An 8kg metal block of dimensions 16cm*8cm*6cm is lying on a table with its face of largest area touching the table. If g=10,then the minumum amount of work done in making it stand with its length vertical is

Answer» 64.An 8kg metal block of dimensions 16cm*8cm*6cm is lying on a table with its face of largest area touching the table. If g=10,then the minumum amount of work done in making it stand with its length vertical is
7450.

A motor boat whose speed is 18 kmhr in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream in km/hr.​

Answer»

A motor boat whose speed is 18 kmhr in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream in km/hr.​