Quant by Arun Sharma

If you have any AIMCATs available online, plz send at .... QUOTE]

hey koolmanan29 posting personal email is against pg rules...for that they have PM facility.Plz remove your post..and as far as aimcat are there i dont hav them in digital format...waise u can serach on net maybe some great soul may have scanned them and uploaded them...
dude when u divide by 2 here...
therefore 32^32/6 = (2^5)^32/6=2^160/6=2^159/3...this yields a remainder 2
u need to mulitiply it by 2 at the end so the remainder will be 4...


yeah..i was thinking that...
the answer shud be 4 only...

Can someone explain ?

How many liters of pure alcohol must be added to a 40-liter solution that is 10% alcohol in order to double the alcohol proportion?

A.4
B.5
C.10
D.20
E.40

Can someone explain ?

How many liters of pure alcohol must be added to a 40-liter solution that is 10% alcohol in order to double the alcohol proportion?

A.4
B.5
C.10
D.20
E.40


40 lt of solution has 10% alcohol
=> 40 lt of soln. has 4 lt of alcohol.

let 'x' lts of pure alcohol be added to the soln.
so now,
(40+x) lt of soln. contains (4+x) lt of alcohol.

to double the alcohol proportion (4+x) should be 20% of (40+x)
(4+x)/(40+x) = 2/10
40 + 10x = 80 + 2x
8x=40
x=5

cheeers....

can ne1 pls tell me...is there any solution book available for quants by arun sharma...cos most of the answers are not matching with the ones i got and there was no hint for those ques..

Vinay fires two bullets from the same placeat an interval of 12 mins but Raju sitting in a train approaching the place hears the second report 11 mins 30 sec after the first. What is the approximately speed of train (if sound travels at the speed of 330 m/s)????

a)660/23 m/s
b)220/7 m/s
c)330/23 m/s
d) 110/23 m/s
e) cannot be determined.

correct answer is C.
kindly explain me its solution.

sandyneh Says
can ne1 pls tell me...is there any solution book available for quants by arun sharma...cos most of the answers are not matching with the ones i got and there was no hint for those ques..

Nope...no solution book for Arun Sharma's quant...but that is the beauty of Pagalguy you know...you post your doubts here, someone will definitely heed your call 😃
Vinay fires two bullets from the same placeat an interval of 12 mins but Raju sitting in a train approaching the place hears the second report !! mins 30 sec after the first. What is the approximately speed of train (if sound travels at the speed of 330 m/s)????

a)660/23 m/s
b)220/7 m/s
c)330/23 m/s
d) 110/23 m/s
e) cannot be determined.

correct answer is C.
kindly explain me its solution.

Let train velocity be v m/s
Now assume the train is at rest, so the speed of sound can be taken as 330 + v
In 12 mins, the distance between Raju and Vinay changed by 12*60*v metres.
Speed of traversing this distance : 330 + v
Time of traversing this distance : 30 secs [ If the distance had been same as in previous case, the time taken would have been same. Time has decreased, so the decrease must have been caused due to a decrease in distance , obviously ]
(12*60*v) / (330 + v) = 30

solving for v, we get option 3 as the correct answer

hii..i m no getting the essence of this statement. plz help me out...

For real numbers x&y;,let f(x,y)=positive square root of (x+y),if (x+y)^0.5 is real =(x+y)^2,otherwise g(x,y)=(x+y)^2,if (x+y)^0.5 is real=-(x+y) otherwise.

Q> which of the following expressions yield a positive value for every pair of non-zero real no.s' (x,y)?
(a) f(x,y)-g(x,y)
(b) f(x,y)-(g(x,y))^2
(c) g(x,y)-(f(x,y))^2
(d) f(x,y)+g(x,y)

pg-436 arun sharma.....


STAY HUNGURY......STAY FOOLISH

hii..i m no getting the essence of this statement. plz help me out...

For real numbers x&y;,let f(x,y)=positive square root of (x+y),if (x+y)^0.5 is real =(x+y)^2,otherwise g(x,y)=(x+y)^2,if (x+y)^0.5 is real=-(x+y) otherwise.

Q> which of the following expressions yield a positive value for every pair of non-zero real no.s' (x,y)?
(a) f(x,y)-g(x,y)
(b) f(x,y)-(g(x,y))^2
(c) g(x,y)-(f(x,y))^2
(d) f(x,y)+g(x,y)



STAY HUNGURY......STAY FOOLISH



the statement in easy terms says that
f(x,y) = (x+y) ^ 0.5 , if this is real; i.e if (x+y) is +ive becoz only
then its root can exist
=(x+y)^2 , otherwise i.e the cases where (x+y) is -ve.



g(x,y) = (x+y) ^ 2 , if this is real; i.e if (x+y) is +ive

= - (x+y) , otherwise i.e the cases where (x+y) is -ve.


now we check for +ve value.

condition 1 : if (x+y) >=0 , i.e (x+y)^0.5 is real
f(x,y) + g(x,y) = (x+y)^0.5 + (x+y)^2 ( which is positive)

condition 2 : if (x+y) f(x,y) + g(x,y) = (x+y)^2 - (x+y)
=(x+y) [ x+y-1]
= positive (since (x+Y) is -ve and (x+y-1) is also -ve)

this gives us the last option (d) as true
Yes,20 mins is the answer (pretty sure).
Although this can be done from bit of mental calculation as well , I am providing bit detailed explanation :
Let the distance be 60 kms.So time taken in latter case = 1.5 hrs
which is 30 mins extra than usual...30 mins extra in 90 mins...so,by unitary method...20 mins extra in 60 mins..20m / hr..

hope this helps

Try solving this questions with the data - 75 kms per hour & 60 kms per hour respectively...find stoppage time per hr...answer is 12 mins..m sure u will handle it now :)
best of luck!!


bingo.....nice explanation........this 1.5 times the times holds the key

Can some explain this to me ?

Brenda's take home pay last year was the same each month and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of last year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the money that she saved last year was from her take home pay, what fraction of money did she save last month ?

1/2
1/3
1/4
1/5
1/6

I'm not getting the correct answer. Please explain.

Can some explain this to me ?

Brenda's take home pay last year was the same each month and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of last year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the money that she saved last year was from her take home pay, what fraction of money did she save last month ?

1/2
1/3
1/4
1/5
1/6

I'm not getting the correct answer. Please explain.


is the answer 1/5
Can some explain this to me ?

Brenda's take home pay last year was the same each month and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of last year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the money that she saved last year was from her take home pay, what fraction of money did she save last month ?

1/2
1/3
1/4
1/5
1/6

I'm not getting the correct answer. Please explain.

Let her take home pay be x, the fraction that is saved be (1/y)
Amount saved per month = x/y
Amount in 12 months = (12x / y)
According to given data, (12x / y) = /y

Solving, y = 5

Since last month savings are the same fraction of take home pay as in any other month, she saved 1/5th of her take home pay last month 😁

I ve a problem..
Q. M is a two digit number which has d property tht : product of factorial of its digits > sum of factorial of its digits. How many values of M exist??
Ans.. 56, 64, 63, n none of these

I ve a problem..
Q. M is a two digit number which has d property tht : product of factorial of its digits > sum of factorial of its digits. How many values of M exist??
Ans.. 56, 64, 63, n none of these

There are 90 2-digit numbers.

The said property is violated only in numbers where one of the digits is 1 or 0, because : (n! * 1)
Exclude all multiples of 10 : 10,20,30...90 -> 81 numbers remain

Exclude numbers 11 - 19 : 72 numbers remain

Exclude 21,31...91 : 64 numbers remain

so, acc. to me, answer is 64

i gt d correct answer...
only when the two digits have a 1 or 0 as one of the digits then sum>product of factorial of nos. also if both digits r same then sum=product. both cases can be subtracted from 90 (no of 2 digit nos.)
1st case: 17+9=26
2nd case: only 1. so total=27. so total nos: 90-27=63.

Seven different objects must be divided among three people. In how many ways can this be done if one or two of them can get no objects?
(a) 15120
(b) 2187
(c) 3003
(d) 792


here ans is 2187 (3^7) but i think in this ans there are cases in which all will get at least one.....
if I am wrong plz help me out.....

STAY HUNGRY.....STAY FOOLISH

Can some explain this to me ?

Brenda's take home pay last year was the same each month and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of last year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the money that she saved last year was from her take home pay, what fraction of money did she save last month ?

1/2
1/3
1/4
1/5
1/6

I'm not getting the correct answer. Please explain.

ya I m also gettin 1/5 as ans.....

plz someone tell me how to apply allegation method(according to what arun sharma has explained in his book) for the below problem


there is a 60litre solution of milk forms 84%.how much water must be added to this solution to make it a solutio in which milk forms 64%??

which one is A1 A2 n1 n2:oops::oops:....am doing for the first time this chapter in arun sharma