ISI Interview Experience

(Not detailed.. but the questions asked)

Hey guys! I just cleared CMI and is selected for ISI interview which is on 18th June at ISI Bangalore. One of my friend Srijanak gave interview on 5th June(or 6th).... and he just shared the questions asked to him.

These are some of the questions which are asked(I will provide you guys with some hints at the end of the NOTE).


  • If g is a function such that g:RRg:R \rightarrow R be defined as

g(y)=limx(f(x+y)f(x))\large{\displaystyle{g(y)=lim_{x \rightarrow \infty} (f(x+y)-f(x))}} (nothing about f was told so that they can tweak question and ask for which kind of f is your solution valid) Then we have to prove g(y+z)=g(y)+g(z)\large{g(y+z)=g(y)+g(z)}


  • Find the 100th100th derivative of f(x) w.r.t x where f(x)=x2+1x3xf(x)=\dfrac{x^2+1}{ x^3-x}

  • Find the number of elements in sample space if 20 dices are thrown together

    i) Find the number of cases where the sum of digits on the dices thrown are even,


SPOILER HINTS ARE DOWN!!!(WARNING)

I) Just start from where we have to prove

II)Try breaking the function summation of functions of the form 1xa\dfrac{1}{x-a}

III)1st part is really easy.... answer 6206^{20} And then i couldnt do this part....

Note by Md Zuhair
4 months, 1 week ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Sort by:

Top Newest

Congrats bro!!!!!!!!!!! PARTYYY TIME!!!!! Ab to tu bhi ISI ka interview mazze mein dekar pahunch jaayega!!! Yaa fir do you have any other plans for the college??? JEE Advanced kaisa gaya????

Aaghaz Mahajan - 4 months, 1 week ago

Log in to reply

Ha IIT ka hi plan hai.... Jaise tumko jo bola tha.... Toh Abhi dekhte hain... Agar JEEA mein Mann ka branch nahi mile toh change karna padhega plans... CMI mein PURA turion feed of 6 lakhs mereko scholarship milrha h

Md Zuhair - 4 months, 1 week ago

Log in to reply

Where are you staying zuhair? Shanti shadna?

Log in to reply

@A Former Brilliant Member i dropped my plan. i was alloted there. i didnt attend d interview

Md Zuhair - 4 months ago

Log in to reply

@Md Zuhair How did you do in jee advanced?

Log in to reply

@A Former Brilliant Member how was your interview? Can you share the qs asked? my jee advance was ok...

Md Zuhair - 4 months ago

Log in to reply

@Md Zuhair F(x)*f(f(x)) =1 F(0) = 3, Find f(4/5) if function is continuous.

Log in to reply

prep kaise chal rhi h

Md Zuhair - 2 months ago

Log in to reply

Heyyy!!!! Yaar abhi tak to sahi hai…..I just finished Resnick Halliday ka 12th class waala part and ab main 11th revise kar rhaa hun…..Maths to almost completed hai…..I am aiming to finish Physics class 11th by 20th August and fir Chem ki revision...….so by September beginning or max mid Sept, mera revision wagarah ho gyaa hoga and I'll have practise time...….

But tu yeh bata, how's college life??? Classes started?? and what about quiz clubs??(IIT ke kaafi badhiya hote hain…)…

Aaghaz Mahajan - 2 months ago

Log in to reply

@Aaghaz Mahajan quiz club nhi.. I want to join robotics club...

Md Zuhair - 2 months ago

Log in to reply

3 Part 2 20C2 9 +20C4 *9 +20C69...

Either 2 dicw show odd...or 4 dices or 6....

Log in to reply

Will you join cmi or IIT?

A Former Brilliant Member - 3 months, 3 weeks ago

Log in to reply

Most probably IIT

Md Zuhair - 3 months, 3 weeks ago

Log in to reply

Nice!!! Kaunsi??? And AIR kya aaya??

Aaghaz Mahajan - 3 months, 3 weeks ago

Log in to reply

@Aaghaz Mahajan AIR ka mat pooch.... IITBHU CSE Dual acc. to mock allotments... or it might change to IITR ECE ...

Md Zuhair - 3 months, 3 weeks ago

Log in to reply

I understand that one of these questions in math is still quite popular because I have not met him for the first time either. But I will say that I had a terrible desire to turn to https://au.edubirdie.com/math for help when I first saw such tasks. Nevertheless, it seems to me that the main thing is to be less nervous, turn on the logic, and recall the material already covered.

Logan Bradshaw - 2 months, 1 week ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...