Latest Elitmus Aptitude Question SOLUTION: 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 w

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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.

Asked In Elitmus Amit Sankhyan (8 years ago)

Unsolved Read Solution (11)

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kundan prasad  (8 years ago)

ans3) =5.
sol= 4n-16+16/n
n=1,2,4,8,16

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dytort  (8 years ago)

@Amit Correction for different objects 3^5 = 243

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dytort  (8 years ago)

2. (5+3-1)C(3-1) = 21
3. 5

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RASHMI KUMARI  (8 years ago)

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)

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Amit Sankhyan  (8 years ago)

@Rashmi Kumari : That is why I've posted the correction in the comments. Thanks for that link though.

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Mallikarjuna Reddy  (8 years ago)

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

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Jude Frederic  (8 years ago)

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.

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Amit Sankhyan  (8 years ago)

4th question : Correction in the part after '+' : log (base y ) [ y^2 / x ]

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Amit Sankhyan  (8 years ago)

@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.

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nitin chauhan  (8 years ago)

ans 2 243

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Manisha Choudhary  (7 years ago)

ans 2)
if identical then (5+3-1)C(3-1) = 21
AND if distinct then r^n => 3^5

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