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K

Kirti 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

Jim makes a deposit of Rs. 120 every week (beginning next week). The deposit is to earn interest annually at the rate of 9 percent. How much will Jim have on deposit at the end of seven years?

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S

Sandeep replied | 08/12/2016

Only science.

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Suprita replied | 08/12/2016

Rs. 47612 approx.

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D

Dev 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

What is the value a perpetuity of $400 per year (r = 14.9%)?

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Kumar replied | 21/11/2016

$ 459.60

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Rajendran replied | 24/11/2016

(400/14.9) * 100 = $ 2684.56.

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G

Guruprasad 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Symmetry

A solid that has only one vertex_______?

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Chandan replied | 05/12/2016

A cone has one vertex.

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Naveen replied | 12/12/2016

A cone.
There could be several other solids also as:-
1. a combination of hemisphere & a cone
2. a combination of cylinder & a cone
3. combination of frustum & a cone

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S

Soumya 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Symmetry

What is the object called where a solid that has two opposite identical faces and other faces as parallelogram?

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Barkha replied | 07/12/2016

A prism, by diagram above, has two opposite identical faces and the other 3 sides are parallelograms.

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Naveen replied | 12/12/2016

Prism.

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M

Milan 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Symmetry

The corners of solid enclosed by edges is called___?

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Khushbu replied | 01/12/2016

Vertex

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Nisarg replied | 01/12/2016

Vertices

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C

Chitra 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Symmetry

Is it true that order of rotational symmetry of a semi circle is two?

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Ram Sharma replied | 23/11/2016

Yes.

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N

Naveen replied | 12/12/2016

No.

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M

Mohammad 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Symmetry

Is it true that a cylinder has no vertex?

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Vidya replied | 12/12/2016

No.

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Naveen replied | 12/12/2016

Yes.

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K

Krishna 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Symmetry

By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?

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Tapas replied | 28/11/2016

60 degree or pi/3 radian.

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Naveen replied | 12/12/2016

60 degree.
360/(number of sides) = 360/6 = 60 degrees.

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R

Rajeswary 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Symmetry

Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm?

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Ankit replied | 09/12/2016

First draw a base line of 7 cm. Then take a measurement in compass of 4 cm using scale. Draw an Arc from one of the end point of the base line. Repeat the same procedure for 5 cm from another end point of base line. Draw two lines to both ends from the mid point of the Arc.

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Naveen replied | 12/12/2016

First draw a base line, say AB, equals to one of the measurement given. Then take measurements equal to the other two sides & draw Arcs from point A & B respectively. Join the point of intersection, say C, of both of the arcs from A & B. ABC is the required triangle.

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A

Abishiek 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Symmetry

Which capital letters of English alphabet have no line of symmetry?

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Kumar replied | 21/11/2016

F, G, J, L, N, P, Q, R, S, Z

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Vamshi replied | 21/11/2016

Some letters like F,G,J,L,N,P don't have symmetry.

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M

Mayur 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Reflection

Name the location of the point in the plane: (-3, 5)?

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Chilla Rajesh replied | 12/12/2016

2nd quadrant

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Naveen replied | 12/12/2016

Second quadrant.

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P

P 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Reflection

Define Reflection with respect to coordinate geometry?

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Jyoti replied | 06/12/2016

In Mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points, this set is called the axis or plane of reflection.

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Ankit replied | 06/12/2016

In coordinate geometry reflection is given as below
1. Reflection about X-axis:
In this all the points (x,y) go to the points (x,-y). i.e. the plane above X-axis gets mapped below X-axis & vice versa.
Example: If P(1,3) is a point in 1st quadrant then under reflection about X-axis it goes to P*(1,-3) in 4th quadrant.

2. Reflection about Y-axis:
...  more»
In coordinate geometry reflection is given as below
1. Reflection about X-axis:
In this all the points (x,y) go to the points (x,-y). i.e. the plane above X-axis gets mapped below X-axis & vice versa.
Example: If P(1,3) is a point in 1st quadrant then under reflection about X-axis it goes to P*(1,-3) in 4th quadrant.

2. Reflection about Y-axis:
In this all the points (x,y) go to the points (-x,y). i.e. the plane on the right of Y-axis gets mapped to left of Y-axis.
Example: If P(1,3) is a point in 1st quadrant then under reflection about Y-axis it goes to P*(-1,3) in 2nd quadrant.

Similarly, we can define reflection about the lines y=x, y=-x.
In General, we can define reflection about any line in plane. «less

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U

Usha 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Reflection

If the perpendicular distance of a point P from the x - axis is 5 units and the foot of the perpendicular lies on the negative direction of x - axis, then the point P has____?

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Daljit Kaur replied | 04/12/2016

x coordinate negative.

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Naveen replied | 12/12/2016

Coordinates (-a, 5), where a is some positive integer.

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S

Sai 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Reflection

Abscissa of a point is positive in _____?

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P.v.ramana replied | 21/11/2016

i and iv quadrants of a rectangular plane.

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Chandan replied | 05/12/2016

1st and 4th quadrants of a rectangular plane.

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D

Durgesh 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Reflection

Plot the points A(1, -1) and B(4, 5)?

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Keya replied | 08/12/2016

Check the answer here.

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Mamata replied | 10/12/2016

A (1,-1) lie on 4th quadrant and B (4,5) lie on 1st quadrant.

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S

Santosini 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Reflection

Define reflection symmetry?

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Kapil replied | 20/11/2016

One half of the reflection is of the other half is defined as reflection symmetry.

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Kumar replied | 21/11/2016

All points are equidistant from line of symmetry.

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N

Navneet 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Reflection

What is line of symmetry?

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T Raghavender replied | 25/11/2016

It's a line passing figure on a plane and dividing it into two parts such that one part is mirror image of the other part.

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Chandan replied | 05/12/2016

The "Line of Symmetry" (shown here in white) is the imaginary line where you could fold the image and have both halves match exactly.

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K

Kunal 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Similarity

Define SAS axiom?

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Naveen replied | 10/12/2016

Check the image for answer.

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Bhupender replied | 11/12/2016

Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and included angle of the other. Note: This axiom is known as side-angle-side or SAS-Congruence-Axiom or SAS-Criterion because it refers to two sides and the angle between them.

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K

Kavidassan 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Similarity

What are the three conditions by which two triangles are proved similarity?

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P.v.ramana replied | 21/11/2016

SAS SIMILARITY , AAS SIMILARITY AND SSS SIMILARITY.

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Naveen replied | 12/12/2016

Actually there are 4 conditions:
1. SSS similarity.
2. ASA similarity.
3. AA similarity.
4. RHS similarity.

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N

Nikhil 13/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Similarity

Is it possible to measure the similarities of any geometrical shapes?

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Jayam replied | 22/11/2016

Yes

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Rajendran replied | 24/11/2016

Yes.

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K

Karunanidhi 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If you plan to save Rs. 300 annually for 10 years and the discount rate is 15%, what is the future value?

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Shambhavi replied | 07/12/2016

Formula to be used is:-
Present Value=Future Value/((1+r)^n), where r is discount rate and n in number of years.
So, Future value= 300 *((1+0.15)^10)+300 *((1+0.15)^9)+300 *((1+0.15)^8)+....+300 *((1+0.15)^1).

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Ankit replied | 09/12/2016

Formula to be used is:-
Present Value=Future Value/((1+r)^n), where r is discount rate and n in number of years.
So, Future value= 300 *((1+0.15)^10)+300 *((1+0.15)^9)+300 *((1+0.15)^8)+....+300 *((1+0.15)^1)

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M

Mohammad 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If you want to buy a boat in 6 years that costs Rs. 1,000 and you can save Rs. 150 per year, what interest rate would you need?

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Khushbu replied | 01/12/2016

15%

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Ankit replied | 09/12/2016

15%

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A

Anand 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If you invest Rs. 1,000 per year in a stock portfolio with a return of 8%, how much would you expect to have in 7 years?

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Dh replied | 01/12/2016

Investment per year = Rs. 1000
Return per year = 8%
Time period = 7 years
Here the case is of Investment yearly i.e., recurring investment yearly.
Hence need to use the Future value equation under annuities.
Future Value of annuity => FV = P/ r * ((1 + r)^n - 1)
where, n = number of periods
r = rate of interest
P = periodic payment
FV = Rs. 8922.80

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N

Neeraj 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

How long would it take you to save Rs. 1,000 if you invested Rs. 200 per year, and the interest rate is 10%?

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Sarvajeet replied | 23/11/2016

50.

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Chilla Rajesh replied | 24/11/2016

4 years and 3 months.

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B

Balakumar 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If you need Rs. 10,000 to pay for your first year of graduate school in 3 years and you get an interest rate of 9%, how much must you invest each of the next three years?

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Kundan replied | 07/12/2016

This problem is based on installment. Please tell the rate of interest charged is SI or CI.

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Ankit replied | 09/12/2016

Use SI=prt/100.

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