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CombinatoriX RAMANUJAN DAY 2014

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### Transcript of Maths Intra School Quiz

CombinatoriXRAMANUJAN DAY 2014

RULESThe quiz will consist of 3 rounds.Round 1- SolvomatriXRound 2- LogiQRound 3- MathematicaThere will be audience questions beforeevery round. Prompting of answers is not allowed.Direct Question:- +10/-5Passed Question:- +5

Rules for SolvomatriX

You will get 1.5 minutes for every question.

You can choose only the odd numbered questions for the first leg of the round and even in second.

SolvomatriX

SolvomatriX

6 7 8 9 10

Audience Question 2

1 2

Audience Question 1

3 4 5

LogiQ

LogiQ

1 2 3 4 5

Audience Question

MATHEMATICA

Rules for Mathematica

You will get 30 seconds to answer each question.

These are the picture questions based on Famous mathematicians, their discoveries and theorems.

MATHEMATICA

MATHEMATICA

1 2 3 4 5

Audience Question

THE END Tie- Breakers

SolvomatriX 1

BACK

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

SolvomatriX 2

BACK

(Easy One) How many digits will 10001000 have?

Audience Question 2

What is the sum of cubes of the first 5 whole numbers?

BACK

SolvomatriX 3

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in still water?

BACK

SolvomatriX 4

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is?

BACK

SolvomatriX 5

13 years ago, Peter's age is one-third of the age 7 years from now. How old is Peter now?

BACK

SolvomatriX 6

Solve the following polynomial if all letters represent different numbers.

(x-a)* (x-b)*………. *(x-z)

BACK

SolvomatriX 7

BACK

If x2 is a then find a

SolvomatriX 8

There is a equilateral triangle with sides 4cm long. If any one side is multiplied by 3, then by what factor is the area of the triangle increased.

(It’s not that simple, think about it!)

BACK

SolvomatriX 9

Walking ¾ of his original speed, a person is 10 minutes late to his office. Find his normal time to reach the office.

BACK

SolvomatriX 10

A and B walk from X to Y which is a distance of 27 kms at a speed of 5 km/h and 7 km/h respectively. After reaching Y, B turns and meets A at Z. What is the distance from X to Z?

BACK

X YZ

Audience Question 1

A completes a work in 12 days and B completes the work in 24 days. In how many days do they complete the work?

BACK

Rules for LogiQ

You will get 1 minute to solveeach question.Hint:- Think out of the box

LogiQ

LogiQ 1

Mary and John are playing with seven dice. If all dice land the same, Mary wins. John wins if all dice land differently. They are both going to throw until one of them wins. What is the probability of John to lose?

BACK

LogiQ 2

3= 85= 910= 1311= ??

BACK

LogiQ 3

Consider the infinite sequence: 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, ... What is the 1000th term?

BACK

LogiQ 4

BACK

Complete the sequence:- -1 2

, 1, 0, 1, 8, 81, _______

LogiQ 5

BACK

Move any 2 sticks so as to make 7 squares

Audience Question

What is this type of series called?

1,1,2,3,5,8,13……

BACK

MATHEMATICA 1

BACK

23 December

1. 2.

3. 4.

MATHEMATICA 2

X:Y

BACK

Connect

MATHEMATICA 3

3,43,41,7

BACK

MATHEMATICA 4

Identify the famous formulaBACK

MATHEMATICA 5

BACK

Identify the famous problem.

Audience Question

RULER+E-R

BACK

Thank You

A special thanks to Ms.Apeksha Chopra and our principal ma’am Ms. Rita Sen

Our Special th

anks

to Principal Ma’am

Mrs. Rita Sen

Kunal Jain

Mehul Arora

TIE-BREAKER 1

THE END

NEXT

Who declined a field medal in Mathematics in 2006 saying “I'm not interested in money or fame; I don't want to be on display like an animal in a zoo.”

TIE-BREAKER 2

NEXT

THE END

A bird shooter was asked how many birds he had in his bag. The shooter replied that there were all sparrows but 6, all pigeons but 6 and all ducks but 6. How many birds did he have in all?

TIE-BREAKER 3

NEXT

THE END

(Another easy one)

Identify this very famous person. (Hint- He is related to geometry)

If both teams can identify him, then give me the bank which issued this note

TIE-BREAKER 4

NEXT

THE END

TIE-BREAKER 5

THE END

(Please decide on this on or we will have to call it a tie)