Elitmus
Exam
Category
17 Jan 2106 ::
1. x,y,z are three super prime numbers ( >100), and all three are multiplied. A super prime no if of the form where p+2, where p is a prime number.
Then there were options in which equations were given in terms of x,y&z , and it was asked which term is closest to x*y*z.
2. 5 Chocolates, namely A,B,C,D,E are to be distributed among 3 kids, in which each may receive any no of chocolates.
3. n is positive integer.
(4n^2 - 16n + 16 )/n . How many integral values of n are possible if the above equation results in an Integer.
4. x>y>1. What is the maximum value of log(base x)[route(x)/y] + log(base y)[route(y^2)/x] .
options : a.) 0 b.) 1 c.)1.5 d. dont remember.
Read Solution (Total 11)
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ans3) =5.
sol= 4n-16+16/n
n=1,2,4,8,16
- 8 years agoHelpfull: Yes(6) No(3)
- @Amit Correction for different objects 3^5 = 243
- 8 years agoHelpfull: Yes(6) No(1)
- 2. (5+3-1)C(3-1) = 21
3. 5 - 8 years agoHelpfull: Yes(2) No(2)
- Hey Q 4 is wrong because in elitmus there condition is X>= y and Y>1 and log(base x)[route(x)/y] + log(base y)(y^2)/x]
so we can write like this
log base x^rootx -log base x^y + log base y ^ y^2
http://postimg.org/image/vbmog6nif/ (Use this link)
- 8 years agoHelpfull: Yes(2) No(0)
- @Rashmi Kumari : That is why I've posted the correction in the comments. Thanks for that link though.
- 8 years agoHelpfull: Yes(2) No(0)
- 2)
here chocolates are distinct so no of ways are 3^5
if they are identical we can take 7c2 ways
the difference in two cases are
consider 1st case
kid getting AB,AC,AD,AE are different
consider 2nd case
kid getting AB,AC,AD,AE are same
3)(4n^2-16n+16)/n for that equation to yield integer values numerator should be divisible by n i.e., remainder should be 0
4n^2 is always divisible for any value of n
16n is also divisible by n
16/n for 16 to be divisible n should be factor of 16 i.e., 1,2,4,8.16 - 8 years agoHelpfull: Yes(2) No(0)
- ques 3 - answer is 10
4n - 16 + 16/n should be an integer.
So n has a set {-16,-8,-4,-2,-1,1,2,4,8,16}
so it counts to 10.
- 8 years agoHelpfull: Yes(1) No(10)
- 4th question : Correction in the part after '+' : log (base y ) [ y^2 / x ]
- 8 years agoHelpfull: Yes(0) No(1)
- @DYTORT : Your answer to question 2 is wrong (Items are not identical here).
Options were: 120, 263 and two other that I don't remember. - 8 years agoHelpfull: Yes(0) No(1)
- ans 2 243
- 8 years agoHelpfull: Yes(0) No(0)
- ans 2)
if identical then (5+3-1)C(3-1) = 21
AND if distinct then r^n => 3^5 - 7 years agoHelpfull: Yes(0) No(0)
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