Need help with these QT questions from Arun Sharma's book - Page 3
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Re: Need help with these QT questions from Arun Sharma's book
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siddhant_jain
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Re: Need help with these QT questions from Arun Sharma's book - 05-03-2008, 06:35 PM

Hi
Im facing a problem in ques of arun sharma.one of them is


Q) what is the remainder when
73*75*78*57*197 is divided by 34

Im getting 4 as remainder but in book it s given as 30.kindly help me with it.
   
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Re: Need help with these QT questions from Arun Sharma's book
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Re: Need help with these QT questions from Arun Sharma's book - 05-03-2008, 10:16 PM

Quote:
Originally Posted by indian_girl View Post
Q.6 Some birds settled on the branches of a tree. First, they sat one to branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?

a. 3
b. 4
c. 5
d. 6

Note: I dint understand the question itself, it sounds tricky to me
Well, i don't know about mathematical questions :P but, this question can be solved as the options has small numbers.
Here "One bird too many" means that one bird is left behind without branch (she doesn't have any space to sit) and "one branch too many" means that one branch is left behind empty.
---- Lets check the options now. option A) If there are three branches and according to second option of the question if "two birds/branch" then there should be "four "
birds to keep the "Third branch" empty.
Now check if this situation of 3 branches and 4 birds satisfies whole question.
Clearly if one bird sits per branch then "One bird" is left behind.
So, option a is the answer.


Well, the situation will be tricky if the question contains higher values like one and two are replaced by some higher "Even" and "Odd" no. I'll need help then.
   
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Re: Need help with these QT questions from Arun Sharma's book
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Thumbs up Re: Need help with these QT questions from Arun Sharma's book - 05-03-2008, 10:19 PM

ONE question, Do we really require this separate thread as there already exists a thread On "Arun Sharma".
I think we can use and it will be handy to visit just a single thread rather than suffling .

Just a suggestion though.
No worries.
Keep it up
   
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Re: Need help with these QT questions from Arun Sharma's book
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Re: Need help with these QT questions from Arun Sharma's book - 06-03-2008, 12:29 PM

HI
Please help me with some ques of arun sharma.

Q1)
Find the number of divisor of 1080 excluding the through out divisior,which are perfect square.
a)28 b) 29
c) 30 d)31

my answer is coming out to be 29, and the answer is given to be 28.



Q2)Given X and n are integers, (15n^3+6n^2+5n +x)/n is not an interger for what condition?
a) n is positive
b) x is divisible by n
C) x is not divisible by n
d) both a and c.
e)None of these.

Note 15n^3 means it is 15 into n cube.
this is question 3 of lod1
my answer is coming to b c,but they have give it as option d.




Q3) [(3^32)/50] gives remainder and {.} denotes the fractional part of that.
the fractional part is of thye form (0.bx).
the value of x could be
a) 2 b) 4
c) 6 d) 8
e) none of these
this is question no 20 LOD 2 page 43.



Q4)Define a number K such that it is the sum of squares of the first M natural numbers (i.e k=1^2 + 2^2 +........M^2) were M <55
How many value of m exist such that K is divisible by 4?
a) 10 b) 64
c) 12 d)Non of these



Q5)If u form a subset of integers choosen from between 1 to 3000,such that no two integers add up to a multiple of nine,what can be the maximum number of elements in the subset
a)1668 b)1332
c)1333 d)1334





Q6) THE SERIES OF NUMBER (1,1/2,1/3,1/4......................1/972) IS TAKEN FROM THIS SERIES (the 1st two) say x,y.
THEN THE OPERATION X+Y+X.Y is performed to get a consolidated number.the process is repeated.WHAT WILL BE THE VALUE OF THE SET AFTER ALL THE NUMBERS ARE CONSOLIDATED INTO ONE NUMBER.
a)1970 b)1971
c)1972 d)None of these.



Q7)A triangular number is defined as a number which has the property of being expressed as a sum of cosecutive natural number starting with 1.How many triangular number less than 1000,have the property that they are the difference of square of two consecutive natural numbers??
a)20 b)21
c) 22 d)23.
This is ques no 70 lod 2 page 46.



Q What is the heigest power of 3 available in the expression (58!-38!)
a) 17 b)18
c)19 d) None of these




Q9)for the number (12^33)(34^23)(2^47)
find the sum of factors of the number such that only odd factors are counted
a) [{(3^34)-1}/2{(17^24-1)/16}]
b) {(3^34)-1}{(17^24)-1}
c)[{(3^34)-1}]/33
d)none of these

This is ques 77 of LOD 2


Q10) what is the remainder when
(1!)^3 + (2!)^3 + (3!)^3 + (4!)^3 .......(1152!)^3.
is divided by 1152.
a)125 b)225
c)325 d)205



Q11) A set S is formed by including some of the first one thousand natural number.S contains the maximum number of numbers such that they satisfy the following conditions.
1. No number of the set S is prime.
2. When the numbers of the set S are selected two at a time ,we always see co prime numbers.
What is the numbers of element in the set s?
A)11 b)12
c)13 d)7




@12) arun,Bikas and chetakar have a total of 80 coins among them.Arun triples the number of coins with the others by giving them some coins from his own collection.Next,Bikas repeats the same process.After this Bikas now has 20 coins.Find the number of coins he had at the beginning?
a)11 b)10
c)9 d)12.


Q13) the super computer at ram mohan roy seminar takes an input of a numkber N and a X where X is a factor of the number N.In a particular casw N is equal to 83p796161q and X is equal to 11 where 0<p<q.Find the sum of remainders when N is divided by (p+q) and p successively.
a)6 b)3
c)2 d)9.




Q14) How many integer values of x and y are there such that .
4x+7y=3,while |x|<500 and |y|<500?
A)144
B)141
c)143
d)142.
My answer is coming to b 142 but they have given 143 as the answer.




Please tell me the solution of all the problems.


Thanks And Regards

Siddhant jain
   
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Re: Need help with these QT questions from Arun Sharma's book
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Re: Need help with these QT questions from Arun Sharma's book - 14-03-2008, 11:11 AM

Quote:
Originally Posted by indian_girl View Post
Thanx a lot all, for replying and providing with the solutions for the problems
I am now ready with my next set of problems,

But before that , I had like to tell u all, Now that all the problems are solved by u people,
I had like to shorten this thread by uploading a .txt file containing the solutions for the problems I mentioned at the beginning of this thread ( Set 1) , such that everyone who requires the solutions for them can download the file and will not have to go through too may pages or posts, And I also request u people to just check if the solutions I have provided in that file are correct or not,( specially question no.3 of Set 1) , so that I can make a correction if any .

my next set of problem are as follows:
--------------------------------------------

Set 2:
------
Q.1 Which of the following can never be in the ending of a perfect square?

a. 6
b. 00
c. 000
d. 1

-------------------------------------------------------------------
Q.2 Which of the following is not a perfect square?

a. 1,00,856
b. 3,25,137
c. 9,45,729
d All of these

-------------------------------------------------------------------

Q.3 Find the remainder when 9^100 is divided by 8?

a. 1
b. 2
c. 0
d. 4
Note: 9^100 implies 9 to the power of 100 and not 9 multiplied by 100 ...same applies to all.
-------------------------------------------------------------------

Q. 4 Find the remainder of 2^1000 when divided by 3?
a. 1
b. 2
c. 4
d. 6

-------------------------------------------------------------------

Q. 5 Find the L.C.M of (x+3) (6x^2+5x+4) and (2x^2+ 7x +3) (x+3)

a. (2x+1) (x+3) (3x+4)
b. (4x^2- 1) ( x+3)^2 ( 3x+4)
c. (4x^2- 1) ( x+3) (3x+4)
d. ( 2x-1) (x+3) (3x+4)

-------------------------------------------------------------------

Q.6 Some birds settled on the branches of a tree. First, they sat one to branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?

a. 3
b. 4
c. 5
d. 6

Note: I dint understand the question itself, it sounds tricky to me

-------------------------------------------------------------------

Q. 7 The square of a number greater than 1000 that is not divisible by three, leaves a remainder of

a. 1 always
b. 2 always
c. either 1 or 2
d. Cannot be said

-------------------------------------------------------------------

Q.8 If A= (-3/4)^3, B = (-2/5)^2 , C = (0.3)^2,
D =(-1.2)^2

a. A> B > C > D
b. D >A >B > C
c. D> B> C> A
d. D> C> A>B

------------------------------------------------------------------------------------Q.9 If 2 < x < 4 and 1 < y < 3 , then find the ratio of the upper limit for x+y and the lower limit of x-y

a. 6
b.7
c. 8
d. None of these
-------------------------------------------------------------------
Q.10 Find the value of x in√x+2√x+2√x+2√3x = x

a. 1
b. 3
c. 6
d. 12

Note : Here In √x+2√x+2√x+2√3x = x ,
it doesnt imply .......
(x+2 )1/2 * (x+2)1/2 * (x+2) * 3x 1/2

insted it implies .......
(x+2 (x+2 (x+2 (3x) 1/2)1/2)1/2)1/2

-------------------------------------------------------------------
Thank you
Q.1 Which of the following can never be in the ending of a perfect square?

a. 6
b. 00
c. 000
d. 1

A property of Perfect Squares is that no perfect square ends in 2, 3, 7, 8 or an odd number of zeros. Hence option (c) is the correct option.

Thank You

Ravi Raja


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Learn as if you were to live forever"


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Re: Need help with these QT questions from Arun Sharma's book
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Re: Need help with these QT questions from Arun Sharma's book - 14-03-2008, 11:17 AM

Question: How to find the factors which are not divisible by 15?

Answer: Find out all the factors that are divisible by 3 abut not by 5 and those which are divisible by 5 but not by 3 and then add the two results.

Thank You

Ravi Raja


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Re: Need help with these QT questions from Arun Sharma's book
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Re: Need help with these QT questions from Arun Sharma's book - 14-03-2008, 01:26 PM

For Q3)
remainder when 9^100 is divisible by 8.
9 is 1 mod 8
or when 9 is divided by 8 remainder is 1.
hence when 9^100 is divided by 8 remainder is also 1 which is option a


Thanks And Regards

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Re: Need help with these QT questions from Arun Sharma's book
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Re: Need help with these QT questions from Arun Sharma's book - 14-03-2008, 01:50 PM

Q. 4 Find the remainder of 2^1000 when divided by 3?
a. 1
b. 2
c. 4
d. 6

-------------------------------------------------------------------
solutuion for this is
as 2^2=4 when divided by 3 gives a remainder of 1.
and and we can break 2^1000 in the terms of 2^2 hence the remainder of the complete term will be 1 i.e option a.

-------------------------------------------------------------------

Q.6 Some birds settled on the branches of a tree. First, they sat one to branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?

a. 3
b. 4
c. 5
d. 6

Note: I dint understand the question itself, it sounds tricky to me

-------------------------------------------------------------------
This questions means when one bird was sitting per branch,there was 1 bird extra that is remainder of 1.
and when 2 birds sits per branch one branch is extra leavin remainder 1.
now consider the options.
option a is number of branch is 3.
now if we go by 1st condition that means number of birds are 4(as 1 bird is exrta).
now if thr r 4 birds,in condition 2 they will sit 2 per branch that is they will require 2 branches,which will leave one branch extra.
since both the condition is satisfied.hence option a is the answer.
u can check the othr options also.


Thanks And Regards

Siddhant jain
   
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Re: Need help with these QT questions from Arun Sharma's book
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Re: Need help with these QT questions from Arun Sharma's book - 22-03-2008, 10:00 PM

hey where is that .txt file??
and the solution of set 1 is of arun sharma that are posted by someone else .
   
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Re: Need help with these QT questions from Arun Sharma's book
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Re: Need help with these QT questions from Arun Sharma's book - 22-03-2008, 10:44 PM

hey where is that .txt file??
and the solution of set 1 is of arun sharma that are posted by someone else .
   
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