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🎉 Great news! 28 doubts resolved in last 3 hours
E
Eeshan
10 Nov 2025

Resolved in 1m

Question:

If $$x=2+2^{\frac{1}{3}}+2^{\frac{2}{3}}$$, find the value of $$x^3-6x^2+6x+12$$


Correct Answer: 14

Doubt

I did not attempt the 2nd question but instinctively I wrote 8 (2^3 or x^3) instead of 2 and got the answer as 14. So, is this a correct way to think or just a coincidence?


Ajay
9 Nov 2025

Resolved in 1m

This is a doubt from DashCAT Mock 1. Please attempt the mock here.
Doubt

can the 6 number given don't repeat themself at the 3 places? because it is not mentioned if repeation is allowed or not?

Neha
9 Nov 2025

Resolved in 1m

This is a doubt from DashCAT Mock 16. Please attempt the mock here.
Doubt

Why aren't we taking the distance travelled to cross the platform as 4L? Why is it 3L? Shouldn't we need to take the distance of train to pass the platform?

N
Nandhitha
9 Nov 2025

Resolved in 2m

Question:

In a rectangle ABCD, P bisects AD and E is a point on CP such that DE is perpendicular to CP. If the lengths of CP and DE are 50 cm and 15 cm respectively. What is the maximum possible ratio of AD and CD?

A

9

B

3

C

6

D

4

Doubt

from the question as per the video solution, we can take area of PDC= (1/2)(50)(15) which is also equal to area of PDC=(1/2)(b*l). So, l*b=750. We need to find maximum value of 2b/l. How do we find maximum value of b and l from l*b=750??


M
Mithun
9 Nov 2025

Resolved in 2m

This is a doubt from CAT 2023 Slot 3 Question Paper. Please attempt the mock here.
Doubt

the second line says "... while pests were on the island...", but option B says "in the absence of pests". isn't this wrong?

Mikasa
10 Nov 2025

Resolved in 3m

This is a doubt from DashCAT Mock 16. Please attempt the mock here.
Doubt

is this correct approach??

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Z
zucchini
9 Nov 2025

Resolved in 3m

This is a doubt from CAT 2022 Slot 1 Question Paper. Please attempt the mock here.
Doubt

How do we get the Total CP and Total SP which is given in the text solution
Total CP= 880+1200
and Total SP = 61664+328CP

Manu
9 Nov 2025

Resolved in 3m

Question:

Which of the following is definitely true about the matches in the final round?

A

Warriors was involved in two draw matches.

B

Royals won against Challengers.

C

Titans won against Strikers.

D

Titans lost against Royals.

Doubt

i am unable to understand why they strike of half of the table? if warrior didnt play any game how will it get 4 points..

.


N
Nandhitha
10 Nov 2025

Resolved in 3m

Question:

Twenty contenders in a race have to take 4 boats taking 5 people each to the finish line. The first 5 take the 1st boat, next 5 the 2nd boat and so on. The 1st person to reach the boat is given the seat closest to the exit and so on. In how many ways can the contenders reach the finish line.

A

20!

B

23!/3!

C

$$20^4$$

D

$$^{19}\textrm{C}_{4}$$

Doubt

but they are asking .in how many ways can the contenders reach the finish line. they are asking in how many ways 20 contenders can reach the finish line. But if you consider a boat1, it has 5 people in it. Sure those 5 people are arranged in 5! ways. But if the boat1 reaches the finish line it means that all the 5 people in that boat won the race as a group. It's not an individual win for one person. Why didn't you consider this? (If boat1 wins, all the 5 people in that boat wins at that time)


J
Jayesh
9 Nov 2025

Resolved in 3m

Question:

The sum of all the positive integer values that $$x$$ can take if it is known that $$\dfrac{x^3 - 4x^2 - 7x +10}{x^2 - 8x + 7} \geq 3x-1$$ is

A

15

B

24

C

8

D

42

Doubt

Hii
Why has (x-1) been cancelled? Please explain indetail..........................................