Quant by Arun Sharma

@mohnish_khiani
@mohnish_khiani said:
Production Pattern for the no.of units (in cubic feet) per day:days No.of units1 1502 1803 1204 2505 1606 120 7 150For a truck that can carry 2000 cubic feet,hiring cost per day is 1000.Storing cost per cubic feet is Rs 5 per day.Any residual material left at the end of the 7th day has to be transferred.Q1. If all units are to be sent to market,then on which days should the trucks be hired to minimize cost :A. 2,4,6,7B.7C.2,4,5,7D.NoneCorrect : AQ2.If the storage cost is reduced to Rs 0.9 per cubic feet per day,then on which day/days should the truck be hired.A.4B.7C.4 and 7D.NoneCorrect : BI want the procedure.Thanks in advance.
No truck after day 1 means 150*5=750 storage cost, which is less than 1000, so no truck today......after day 2, (150+180)*5 which is greater than 1000, so lets get the stuff out by a truck today....similarly day 3, 120*5 is


Q2. day 4 storage cost .9*(150+180+120+250) which is less than 1000 so no truck...6th day storage cost .9(150+180+120+250+160+120)=.9*980 which is still less than 1000, so lets get everything out on the 7th day......

can u suggest me book for reference for Logical reasoning and English

A shopkeeper makes a profit of Q% by selling an object for rs.24/-. Had the cost price and selling price been interchanged ,it would have led to a loss of 62.5Q%.With the latter cost price , what would be the new selling price to get a profit of Q%n

this is q.16 Lod 2 profit and loss
can someone help me understand how to get a solution to this.



@UnCharismatic

IF A is even then 3A will be divisible by both 3 and 2(as A is even) ALWAYS.
The other two options are not always possible

How many natural numbers less than 100 have exactly 3 prime factors?

2
4
5
8
None of these

How'd you approach this? Do you include 1 as one of the three prime factors?
@Sybar said:
How many natural numbers less than 100 have exactly 3 prime factors?2458None of theseHow'd you approach this? Do you include 1 as one of the three prime factors?
to have three factors it should be the square of a prime number..
So the numbers falling in this range are 4,9,25,49. Do let me kno the OA..
@kartik7349 said:
A shopkeeper makes a profit of Q% by selling an object for rs.24/-. Had the cost price and selling price been interchanged ,it would have led to a loss of 62.5Q%.With the latter cost price , what would be the new selling price to get a profit of Q%nthis is q.16 Lod 2 profit and losscan someone help me understand how to get a solution to this.
let the cost price be "x" and the selling price by 24.. so profit% will be 24-x/x = Q
Also if the CP and SP are interchanged then 24 will be the cost price and x will be the selling price. Loss% is given by 24-x/24 = 62.5Q/100

But from the first condition 24-x= xQ/100
substitute for second case
xQ/24= 62.5Q/100 ==> x= 1500/100 = 15
So cost price is 15 selling price is 24
therefore profit percentage is 60%
Now when the CP is 24 profit percentage 60% substitute and get the answer as 38.4
@iLoveTorres said:
to have three factors it should be the square of a prime number.. So the numbers falling in this range are 4,9,25,49. Do let me kno the OA..
Well the answer is 5. Can't a number like 2*7*1 be possible? Why only prime squares?
@Sybar said:
Well the answer is 5. Can't a number like 2*7*1 be possible? Why only prime squares?
sorry i read the question wrongly.. according to the question your logic is correct
So the possible numbers will be (1 is not a prime number )
2*3*5,2*3*7,2*3*11,2*3*13,2*5*7
Hence 5

@iLoveTorres said:
sorry i read the question wrongly.. according to the question your logic is correctSo the possible numbers will be (1 is not a prime number )2*3*5,2*3*7,2*3*11,2*3*13,2*5*7Hence 5
Ah right. Thanks man.:)

One more question:

How many divisors/factors of 1200 end with only one €˜zero €™?

16
14
12
10
11

@Sybar said:
Ah right. Thanks man.One more question:How many divisors/factors of 1200 end with only one €˜zero €™?1614121011
answer is 10...look when you factorize it you will get 1200=2^4*3*5^2
So to get a single zero any multiplication of 2 with 5 wil give you single zero. so total 4 possibility
next 5^2*2 = 50
5*3*2^x here x can be any of the four values 1,2,3,4. Hence 4 posssibilities
next 5^2*3*2 = 150 hence 1 possibility.

is the answer right?
@iLoveTorres said:
answer is 10...look when you factorize it you will get 1200=2^4*3*5^2So to get a single zero any multiplication of 2 with 5 wil give you single zero. so total 4 possibilitynext 5^2*2 = 50 5*3*2^x here x can be any of the four values 1,2,3,4. Hence 4 posssibilitiesnext 5^2*3*2 = 150 hence 1 possibility.is the answer right?
The answer is apparently 12.

Tell me if this is right: Like you said, 1200=2^4*3*5^2

So to make the divisors end in one zero we can write this: (2^3*3*5)*10

So, now we cannot allow 2 and 5 to multiply inside the bracket. So, factors possible with 2 &3 will be (3+1)*(1+1)=8

And factors possible with 3 & 5 will be (1+1)*(1+1)= 4

So 8+4= 12. I think this is right. Not very sure though.
@Sybar said:
The answer is apparently 12.Tell me if this is right: Like you said, 1200=2^4*3*5^2So to make the divisors end in one zero we can write this: (2^3*3*5)*10So, now we cannot allow 2 and 5 to multiply inside the bracket. So, factors possible with 2 &3 will be (3+1)*(1+1)=8And factors possible with 3 & 5 will be (1+1)*(1+1)= 4So 8+4= 12. I think this is right. Not very sure though.
it's totally right :)
@iLoveTorres said:
it's totally right
Lovely. :)

A small permutation doubt:

There are 6 pups and 4 cats.In how many ways can they be seated in a row so that no cats sit together?

Answer: 6!*P(7, 4)

Why is it P(7,4) and not C(7,4)? The cats seem the same, why do we bother with order here?
@Sybar said:
Lovely. A small permutation doubt:There are 6 pups and 4 cats.In how many ways can they be seated in a row so that no cats sit together?Answer: 6!*P(7, 4)Why is it P(7,4) and not C(7,4)? The cats seem the same, why do we bother with order here?
in that case all the pups are also same why 6!
we shud consider all the pups and cat as distinct

Number Systems LOD3.


43. The remainder when 2^2 + 22^2 + 222^2 + .......... (222.....49 two's)^2 is divided by 9 is?????


a.2
b.5
c.6
d.7

44. The sum of the digits in the multiplication N = 202 x 20002 x 2000002 x .....2(31 zeros) is???

a. 112
b.160
c.144
d.cannot be determined

@clearwater said:
Number Systems LOD3.43. The remainder when 2^2 + 22^2 + 222^2 + .......... (222.....49 two's)^2 is divided by 9 is?????a.2b.5c.6d.7
2^2 + 22^2 + 222^2 + .......... (222.....49 two's)^2 mod 9
=2^2+ 4^2+6^2+.......98^2 mod 9
=2^2(1+2^2+3^2+.......49^2) mod 9
=2^2*49*50*99/6 mod 9
=4*49*25*33 mod 9
=4*4*7*6 mod 9
=6 mod 9


@clearwater said:

44. The sum of the digits in the multiplication N = 202 x 20002 x 2000002 x .....2(31 zeros) is???a. 112b.160c.144d.cannot be determined
32323232......... 32 times
=(3+2) 32 times
=5*32 =160
@vijay_chandola

Hi Vijay..Thanks for the reply..

I have one doubt..in the second question can you please explain how you have got 323232....32times.
@clearwater said:
@vijay_chandolaHi Vijay..Thanks for the reply..I have one doubt..in the second question can you please explain how you have got 323232....32times.
It's nothing but generalization :)
202*20002=4040404
4040404*2000002=8080808xxxx
and so on...

need help on this :

q) Find the remainder when 5^124 is divided 17.
a) 4, b)5, c)13, d)15