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.