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**Find the number of ways in which 5 boys and 5 girls be seated in a row so that no 2 girls may sit together**

**CAPITAL OF THE STATE TAMILNADU**

Hey Devaraja,

The capital of the state of Tamil Nadu is Chennai.

Here is the full list of state capitals of India:

Andhra Pradesh – Hyderabad

Arunachal Pradesh – Itanagar

Assam – Dispur

Bihar – Patna

Goa – Panaji

Gujarat – Gandhinagar

Haryana – Chandigarh

Himachal Pradesh – Shimla

Jammu & Kashmir – Srinagar (Winter : Jammu)

Karnataka – Bangalooru

Kerala – Tirubanantapuram

Madhya Pradesh – Bhopal

Maharashtra – Mumbai

Manipur – Imphal

Meghalaya – Shillong

Mizoram – Aizawl

Nagaland – Kohima

Orissa – Bhubaneswar

Punjab – Chandigarh

Rajasthan – Jaipur

Sikkim – Gangtok

Tamil Nadu – Chennai

Tripura – Agartala

Uttar Pradesh – Lucknow

West Bengal – Kolkata

Chhattisgarh – Raipur

Uttarakhand – Dehradun

Jharkhand – Ranchi

Telangana – Hyderabad

Sorry, not to offend you. But you should Google it instead. It will save a lot of time.

**two pipes a and b can fill up a half full tank in 1.2hrs.the tank was initially empty.pipe b was kept open for half the time required by pipe a to fill the tank by itself.then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself.it was then found that the tank was 5/6 full.the least time in which any of the pipes can fill the tank fully is?**

let a takes x hrs and b takes y hrs, first case b was kept open for x/2 hrs and then a was kept open for y/3 hrs, that means b has done (x/2y) amount of work, and a has done (y/3x) amount of work right?

because pipe a needs x hrs to fill the tank

x hrsby a.....> full work

then in y/3 hrs the amount of work done will be? (y/3x)?

and now, it is given that these two works done by a and b adds up to 5/6 th of the whole work

so we have two equations now

(1/x)+(1/y)=(1/1.2) hrs

and (x/2y)+(y/3x)=5/6 solve and u ll get x and y in hrs

**find the wrong no. in this number series. 2 14 91 546 3002 15015**

**Can i have different types of questions asked on simple interest?**

Hi Krishna,

Please check the following links for questions on Simple Interest:

**an equilateral triangle whose perimeter= 36cm,is rotated about its side to form a closed solid figure.find the volume of the solid so formed.Explain please how u found the height and radius ?**

When an equilateral triangle is rotated about its side, the height of the triangle becomes the radius of the cone and the height of the cone is equal to the side of the triangle/2.

**Consider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being represented by its (X,Y) coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is A 780 B 800 C 820 D 741 The number of points on x = 1 is 39. The number of points on x = 2 is 38 and so on till x = 39, which has one point. So, the total is 1+2+3+...+39 = 39∗40239∗402 = 780.**

**17 boxes have altogether 100 mangoes. Each box has at least one mango. Number of boxes with exactly 6, 7 and 8 mangoes is 2, 3 and 4 respectively. The maximum number of mangoes in any box is greater than eight, and there are m such boxes. What is the maximum number of mangoes that can be there in a box which makes the count of such boxes maximum?**

9 mangoes should be the maximum count so that 3 such boxes are there ach with 9 mangoes and remaining 8 mangoes go to 5 boxes remaining.

**I am continuously struggling with questions of Remainder theorem, Please let me know how to improve it**

Hi Siddharth,

Most of the questions in Remainder Theorem are based on Fermat's theorem, Wilson's theorem and Euler's totient theorem. Be thorough with these three theorems and practise a number of questions. This will help you improve in this topic.

**an equilateral triangle whose perimeter= 36cm,is rotated about its side to form a closed solid figure.find the volume of the solid so formed.Explain please?**

Side of the triangle = 12 cm

Two cones, each of height 6 cm and base radius 6√3 cm are formed.

Volume = 1/3 * pi * r^2 * h * 2 = 2/3 * pi * 36 * 3 * 6 = 36 * 12 pi = 432 pi cm^3

By rotating a side of an Equilateral triangle (any triangle), we will be getting a circular cone.

With the side as as height and radius.

Perimeter is 36cm, so each sides are 12cm.

Volume of cone = 1/3 pi r^2 h

1/3 * pi * 12^3 => 432 pi cm^3 is the answer.

10!-2*9!