Quant by Arun Sharma

NUMBER SYSTEM
95) A number is such that when divided by 4,5,6,7 it leaves the remainder 2,3,4,5 resp. Which is the largest no. below 4000 satisfying this condition.

89) Find the least number by which 30492 must be mltiplied or divided to make it a perfect square

Can some one also explain the concept underlying Q 95 type of questions, I don't seem to be getting it !!

Thnks


Hey Zero,

The concept for solving question number 95 is as follows.

In the question, if you see closely, you will find that difference between divisor and remainder is always 2. Take any divisor and corresponding remainder.
This means that the number, dividend here, should be 2 more then the exact multiple of divisor. Now here we have to find a numbers that should leave same remainder when divided by any of the given numbers.
Number which will leave 0 as remainder when divided by any of the mentioned divisors would be the LCM of all the numbers (4,5,6,7 here). This comes out to be 420. Now we have to find the highest number below 4000. It would be 420*9 = 3780. This number is eaxctly divisible by any of the (4,5,6,7) divisors.
Add 2 to the number to find the correct answer that would be 3780 + 2.

Hi Just want to put down two questions from Arun Sharma - Time and distance.

1. Two trains calcutta and Bombay mail start at same time from stations calcutta and bombay resp.
After passing each other they take 12 hrs and 3 hrs to reach Bombay and calcutta.
If calcutta mail is moving at a speed of 48 km/hr, speed of bombay mail is:

2. L and K are two stations 600 km apart.
A train from L to k moves at a speed of 25 km/hr.
After 2 hours another train starts from K to L at 35 km/hr.
How far from L will they cross each other.

Thank you in advance.

Hi Just want to put down two questions from Arun Sharma - Time and distance.


2. L and K are two stations 600 km apart.
A train from L to k moves at a speed of 25 km/hr.
After 2 hours another train starts from K to L at 35 km/hr.
How far from L will they cross each other.

Thank you in advance.

Approx. 280 km from L.
Hi Just want to put down two questions from Arun Sharma - Time and distance.

1. Two trains calcutta and Bombay mail start at same time from stations calcutta and bombay resp.
After passing each other they take 12 hrs and 3 hrs to reach Bombay and calcutta.
If calcutta mail is moving at a speed of 48 km/hr, speed of bombay mail is:


Thank you in advance.


Is it 24 kmph??
Hi Just want to put down two questions from Arun Sharma - Time and distance.

1. Two trains calcutta and Bombay mail start at same time from stations calcutta and bombay resp.
After passing each other they take 12 hrs and 3 hrs to reach Bombay and calcutta.
If calcutta mail is moving at a speed of 48 km/hr, speed of bombay mail is:

2. L and K are two stations 600 km apart.
A train from L to k moves at a speed of 25 km/hr.
After 2 hours another train starts from K to L at 35 km/hr.
How far from L will they cross each other.

Thank you in advance.



This is the answer to the second question

Lets say the speed of trains be B and C respectively of trin going toward calcutta and train going towards bombay. Let x be the distance from bombay and y be the distance from calcutta that the trains meet.

now x/c = 12 ----- (1)
and y/b = 3 ------(2)
also c = 48 km/hr
hence from (1) x = 12*48

if we divide 2 by 1 we get x/y = 12*48/3*b --- (3)

now if we look at the question again. As the two train started at the same time. They will meet after travelling for the same time
Hence x/b = y/c
this gives us x/y=b/c --- (4)

putting 4 in 3 you will get b = 96 km/hr.

Hence answer is 96 km/hr. I hope I dint screw it 😐
hi.shivani Says
Is it 24 kmph??


I think the answer will be 96..Calcutta mail starts from calcutta reaches Bombay and as it reaches last it has speed lesser than the other has.

let Bomaby mail speed V; x is the time when they met.

( x+12)/(x+3) = V/48 (as totsal dist same time taken will be inversely proportionate to speed)

Also V*3 = 48 *x (what ever dist calcutta mail has covered is covered by bombay mail in 3 hrs)
solve:-
v= 96;
x=6;

cold you please explaain the negative remainder concept..i don't seem to understand

Hi
1. For the first question the correct answer is 96 km/hr.
I think some of you got correctly.

Thanks all.

Hi
1. For the first question the correct answer is 96 km/hr.
I think some of you got correctly.

Thanks all.

Well this is the calcutta -bombay mail question.

Well for second question the right ans is 279... km (app 280).
Sivani got it correct.

I tried it but in vain. I am getting 250 km.

Check out the attachment.

1.
I followed as time taken to meet is same - that is they travelled for same time before meeting.

so, x/25=(600-x)/35
=> x=250.
which is the wrong ans.

Well for second question the right ans is 279... km (app 280).
Sivani got it correct.

I tried it but in vain. I am getting 250 km.

Check out the attachment.

1.
I followed as time taken to meet is same - that is they travelled for same time before meeting.

so, x/25=(600-x)/35
=> x=250.
which is the wrong ans.



Sorry - I forgot to take 2 hrs into consideration.
now i got it.
correct ans is: 279...

Thanks one and all.

Hi All,

This is my first post in PagalGuy so I guess I would get help from the community.

I am solving Arun Sharma latest version for the Quant practice this year.
I needed solution to Question 22 and 23 of Geometry LOD -2. Sorry cant post the question as it has figure associated with it.

It would be helpful if any of you could help.

Hi All,

This is my first post in PagalGuy so I guess I would get help from the community.

I am solving Arun Sharma latest version for the Quant practice this year.
I needed solution to Question 22 and 23 of Geometry LOD -2. Sorry cant post the question as it has figure associated with it.

It would be helpful if any of you could help.



OneLastAttempt, Can you scan it, if possible?

Sorry virus_rock that wont be possible as I dont have a scanner at home.

OneLastAttempt Says
Sorry virus_rock that wont be possible as I dont have a scanner at home.

Hi
You can draw the pics in a simple manner in Mspaint.
And then save them to your desktop.
Attach it to your post in the thread.
Let me know if you have any queries.
OneLastAttempt Says
Sorry virus_rock that wont be possible as I dont have a scanner at home.

take a pic with a good cam buddy

hi,

i want a help in solving this question..

In a mixture of 80 litres of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture?

thanks,
Mona

hi,

i want a help in solving this question..

In a mixture of 80 litres of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture?

thanks,
Mona


here 80 liter mixture

25%of the mixture is milk means 20liter is milk

so 20/(80+x)=0.20

after solving x=20
hi,

i want a help in solving this question..

In a mixture of 80 litres of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture?

thanks,
Mona

See Milk=20 and water=60
Let x L of water is added so .2(x+80)=20=>x+80=100=>x=20L

Milk forms 25% of the mixture, i.e., 20 liters. In order to make the same 20 liters as 20% of the mixture, we must find the additional quantity of the total mixture(which happens to be the added water also, in this case).

So, by inverse variation,

25% -- in 80 liters
20% -- in x liters

(20*80)/25 = 20 liters of has been added