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CAT 2017 Quant Question: Geometry

Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is: (TITA)

Answer:

image
Given that ABC be a right-angled triangle with BC as the hypotenuse.
Lengths of AB and AC are 15 km and 20 km, respectively.
We have to find the minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour.
We should first find the minimum distance in order to find the minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour.
Therefore minimum distance AD has to be found and then it should be divided by the 30 km per hour.
Using the idea of similar triangles
Area of the triangle ABC
image
Hence 12 kms is travelled at 30km per hour image
The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is image × 60 = 24 minutes
Key thing to be noted here is using Pythagoras theorem to find the altitude AD and then using Speed, Time and Distance formula to find the time.

Hence, the answer is 24

Can someone provide PDFs for last 3-4 years aimcats and simcats?

Can someone provide pdfs of last 3-4 years aimcat and simcats?

Hi all, i am currently a bcom final year student preparing for cat 2023, at the begining of my learning i found the quant session to be quite tough, however the iquanta online videos are relay helping me understnd the concepts easily. if a ny is looking for video’s that have easy explainiation check this out - https://www.youtube.com/watch?v=vAk30DPu6I0

10th- 82.29
12th- 71.60
Grad- 7.78
What are the chances of IIM BLACKI if I score 98-99 Percentile?

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My EWS certificate was issued on 13/04/2023 and it is valid for the year 2023 . So is it acceptable during the admission process for IIMs when i will clear my waitlist?

100%

I have converted IIM JAMMU, IIM BG, IIM Sambalpur, IIM sirmaur …
Which one is a good to go ?

Yes you can

Jammu or Sambalpur both are doing great. Don’t go to bodhgaya. Bg tabhi jana jab placement se koi mtlb na ho.

I am a student of 2nd year bba. Can anyone one help me how to start preparing for cat without taking any coaching and the study materials. It will be very helpful… thank you

Try this youtuber she has great content for CAT prep - Shweta Arora - YouTube

I don’t understand the question. Someone please explain!

IIM Raipur vs IIM Trichy
Which one should I choose and also is the placement report of Raipur audited?

When rotated along hypo
Vol = πr²h/23 = π4.8²10/32 = 38.4π
When rotated along side = 6
Vol = π8²6/6 = 64π
When rotated along side = 8
Vol = π6²
8/6 = 48π
So answer = 38.4"

Only IIM Ahmedabad and Udaipur have audits.

Hello guys. Wanted to know how much percentile is required to convert new iim’s. My profile 10th - 10cgpa, 12th - 71%. B. Com from open university - 74%.:pray:t2:TIA

Do you want to set a particular percentile and then prepare for CAT or do you want to score the maximum percentile possible?
You get the percentile and colleges will run after you. The reality is far different from what you will get but getting into 99s is always recommended for Top IIMs.

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My career currently
X - 9.4 cgpa
XII - 67%
Grad - 60.25 %
MBA ( T&HM) - 4.9 cgpa currently

It’s in downfall :smiling_face_with_tear:

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