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D

Datta 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What is the side of the square if the total surface area of a cube is 96 sq. cm?

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Ankit replied | 23/11/2016

4 cm.

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H

Hariprasad 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What do you mean by dimensions of any geometrical shapes?

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Chandan replied | 22/11/2016

Two geometric shapes that share the same basic shape are called "similar to each other." If both shapes are the same size, they are called "congruent." Geometric shapes can be two-dimensional or flat. They can be three-dimensional, meaning they possess depth and volume.

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A

Arun 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas?

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Ankit replied | 23/11/2016

16 : 9.

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P

Purushotham 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

Two cubes each of volume 64 cubic cm are joined end to end. Find the total surface area of the resulting cuboid?

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Sreedevi replied | 02/12/2016

T.S.A of cuboid = 2 (lb+bh+lh);Given volume of the cube = 64 cubic cm.
From this we can find the length of the side of the cube by taking the cube root of 64 and it is equal to 4.
Now we have length of the cube = breadth of the cube = height of the cube = 4cm.
On joining 2 such cubes, we get length of the cuboid = 4+4 =8 cm; breadth and height remain same as we are...  more»
T.S.A of cuboid = 2 (lb+bh+lh);Given volume of the cube = 64 cubic cm.
From this we can find the length of the side of the cube by taking the cube root of 64 and it is equal to 4.
Now we have length of the cube = breadth of the cube = height of the cube = 4cm.
On joining 2 such cubes, we get length of the cuboid = 4+4 =8 cm; breadth and height remain same as we are joining the two cubes side by side.
On substituting the values, we get T.S.A = 160 square cm «less

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V

Venkatesan 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition)

In the class intervals 10-20, 20-30, the number 20 is included in_____ ?

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Abhishek replied | 10/12/2016

20-30

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S

Sumimolss 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

Can the experimental probability of an event be a negative number? If not why?

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Sreedevi replied | 02/12/2016

The probability of the outcome of an experiment is never negative.

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K

Kiran 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

Can the experimental probability of an event be greater than 1? Justify your answer?

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Sreedevi replied | 02/12/2016

No, because the number of successes and failures should be equal to 1.

0 0

Sreedevi replied | 02/12/2016

No, because the number of successes and failures should be equal to 1.
The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

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M

Meraj 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

Find the probability of getting a number less than 5 in a single row of a die?

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Sreedevi replied | 02/12/2016

In the single throw of a die, the sample space n(S) = 6; let 'E' be the event of getting '5'. n(E) = 1; P(E) = n(E) /n(S); P(E) = 1/6.

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J

Jyoti 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

One card is drawn from a well shuffled deck of 52 cards. Find the probability of drawing an ace?

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Sreedevi replied | 02/12/2016

There will be 4 aces (Event E) that belongs to 4 different types say hearts, clubs, diamonds and spades. The probability of getting an ace of 52 cards (sample space = 52) is given by the ratio of favourable events to sample space.
P(E) = n(E) / n(S); P(E) = 4/52; P(E) = 1/4.

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R

Ravindra 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

Two dice are thrown. What is the probability of obtaining a total of 10 or 11?

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Mamata replied | 25/11/2016

Sample space = {(1,1), (1,2,), ........, (5,6), (6,1), (6,6)}
Number of sample space or cardinality of S = |s|= 36
Let A be the event of getting total of 10 or 11
A={(5,5),(5,6),(4,6),(6,4),(6,5)}.
|A|=5.
P(A)= |A|/|S|= 5 / 36.

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M

Mukul 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Trigonometry

If angle sin A = 1/2, then the value of cot A?

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T Raghavender replied | 26/11/2016

SinA=1/2. =>A=30 degrees, cotA = cot30 = root 3.

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Sarvajeet replied | 02/12/2016

sin A = 1/2, cos A = square root 3 /2.
cot A = square root 3.

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B

Baiju 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Trigonometry

What is the value of (tan 1 degree tan 2 degree tan 3 degree…...tan 89 degree)?

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Suyash replied | 19/11/2016

Here,
tan 1°× tan 89° = tan 1° × cot 1 ° = 1
& Similarly,
tan 2°× tan 88° = 1 as so on.
So the value of,
tan1° × tan2° × ... tan 89° = tan 45° = 1

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R

Ramya 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Sets

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. What is the value of m and n respectively?

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Ram Mohan replied | 23/11/2016

The Values of m & n are : m=7 and n=4 for detailed solution, Please see the attachment.

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T

Tahir 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Sets

Power set of the set A = {1, 2} is _______ ?

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Chandan replied | 22/11/2016

2 power 2 = 4 (Ans)

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A

Apoorva 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Sets

Define Universal set?

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Ram Mohan replied | 18/11/2016

Universal set is a set, which is the union of all the sets involved in the context of the Question/ Problem.

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S

Shurbik 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Sets

Define set?

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Chandan replied | 22/11/2016

A collection of "things" (objects or numbers, etc).
Each member is called an element of the set.
There should be only one of each member (all members are unique).
Here is a set of clothing items.
Another Example: {1,2,3,4} is the set of counting numbers less than 5

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T

Tanvi 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What is the circumference of the circle if its radius is 2r?

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T

Taranum 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What is the area of a sphere if its radius 2r?

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G

Geeta 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What is the radius of the sphere if a cone is 8.4 cm high and the radius of its base is 2.1 cm. and it is melted and recast into a sphere?

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H

Harvir 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What is the curved surface area of a cylinder, if its radius is doubled and height is halved?

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P

Poonam 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What is the total surface area of a cone whose radius is r/2 and slant height is 2l?

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P

Prasad 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What number of planks can be stored of dimensions 4 m * 50 cm * 20 cm in a pit which is 16 m long, 12 wide and 4 m deep?

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R

Rakesh 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What is the length of the longest pole that can be put in a room of dimensions: 10 m * 10 m *5 m?

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C

Chhavi Kumar 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. What is the ratios of the surface areas of the balloon in the two cases?

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S

Sajjan 02/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

What is the surface area of the cube if its sides are 45 cm each?

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