Interesting Math

Re: Interesting Math

Urghhhhh!! Cant get these images 2 upload. .2nd answer should b 5 n 3rd shud be arnd 17.12. .though da 3rd 1 may b wrong. .

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Itnay muskil math ke sawal :eek:

Where is Fariha???

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In cafe?

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She’ll be here :help:

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Q1: 3

Q2: 5

Q3.. i’ll give it a try when i have some paper and pen handy. :\

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queer ... Can you explain ans 1 and 2 ... Lost souls ... Still waiting for the uploads ...

Come on fellow Pakistanis ... Our neighbours are putting the answers down ...

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well. Q1: its a cubic equation, but because its a length the acceptable solution has to be positive and real. plugging in 2,4, and 3 just to get an idea of how the LHS behaves, 3 fits. if you want to be rigorous, you can go further and show no positive x less than 3 makes LHS >= 36, and that LHS is monotonically increasing for x >3, so theres only one positive root to the cubic equation.

Q2: x = rt(12.15) = 2.3.rt(5)
y = rt(45) = 3.rt(5)
x.y = 2.9.5 = 18.5

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q3: let me try this without paper (if i look like a fool this is psyah’s fault :mad:)

extending the perpendiculars of the tangents to meet at the center, and joining the vertical diagonal of the quadilateral, you get two identical right triangles, top angle being 1/2.60 = 30 degrees, bottom angle being 60.

area of triangles = 2. 1/2 . b * h = 5 * 5 *tan 60 = 25.rt(3).

area of arc = 1/3rd area of circle (because angle = 2*60) = pi * 25/3

area of shaded portion = area of triangles - area of arc = 25. rt(3) - pi * 25/3.

looks weird :\

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yes…you might as well…cuz I’ve completely ignored the “order of operations” and I’m not about to re-do it.

too lazy.

:chai:

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Kya hua kis ney mujhe yaad kiya hai :e6:

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Mujeh math bilkul bhi nahi aata :sid:

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Peace queer

Spot on for all three questions … I’m gonna have to make them harder … :slight_smile:

Although for number 1 … Long division using trials can be quick way … And the important factor was the positive root. Well done

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Ok guys and gals peace again …

You have 90 secs to complete this next puzzle … If you can do it in 90 or less then give the answer and explain how you got it …

For those who took longer … Explain you method too …

despite my poor art work there are only 5 different shapes … Each shape has a value, solve the question mark …

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48 ? :rotato:

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Sorry Bhai … :nahi: … Please try again

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3rd no. Ques. Ka ans sahi tha??

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3rd no. Ques. Ka ans sahi tha psyah ji??

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Haan Ji .... Sahi tha ...

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This is the latest puzzle

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22 ? :rotato: