Latest Elitmus Aptitude Question SOLUTION: in a triangle sides of triangle are ac=ln(n), ab=ln(8),bc=ln(50). what is the possible value of n?

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(#M40151608) ELITMUS Numerical Ability question Geometry Keep an EYE

in a triangle sides of triangle are ac=ln(n),
ab=ln(8),bc=ln(50).
what is the possible value of n?

Asked In Elitmus MR. X (9 years ago)

Unsolved Read Solution (8)

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Read Solution (8) :

Farha Masroor  (8 years ago)

sum of 2sides of the triangle should be greater than the third side
therefore,ln(50)+ln(8)>ln(n)
Now according to the log property;log(a)+log(b)=log(a*b)
So,ln(50*8)>ln(n)
400>n;
Bt the options are;
390,395,392and 398.
So 0 and 400 wont be included,so the ans is 398.

Is this solution Helpfull? Yes (8) | No (2)  

Madhu  (6 years ago)

Sum of two sides of a triange is always greater than the third side
case 1:
So, ln(50) + ln(8) > ln(n)
=> ln(50x8) > ln(n) ( ∵ log (a) + log(b) = log(ab) )
=> 400 > n
i.e. n < 400
logax is defined for x > 0. So, n will be greater than 0
So, 0 < n < 400
case 2:
So, ln(50) + ln(n) > ln(8)
=> ln(50n) > ln(8) ( ∵ log (a) + log(b) = log(ab) )
=> 50n > 8
i.e. n > 4/25
case 3:
So, ln(8) + ln(n) > ln(50)
=> ln(8n) > ln(50) ( ∵ log (a) + log(b) = log(ab) )
=> 8n > 50
i.e. n > 25/4

Combining results from case 1, case 2 and case 3 we get:
25/4 < n < 400
So, range of integral values of n satisfying the above condition is: 7 ≦ n ≦ 400
Hence no of integral values of n are: 393

Is this solution Helpfull? Yes (5) | No   

Ehtesham  (9 years ago)

apply sum of two side of a triangle is always greater than third side

so ln(n) n

Is this solution Helpfull? Yes (1) | No (3)  

bhagya shri  (9 years ago)

apply sum of two side of a triangle is always greater than third side

get
400>n

but options are given a) 390 b) 395 c) 392 d) 398
what should be right ans???

Is this solution Helpfull? Yes (1) | No (1)  

Rajesh Samui  (8 years ago)

Ans will be398.
Becouse 0 and 400 will not be included.

Is this solution Helpfull? Yes (1) | No (1)  

rahul  (4 years ago)

Answer should be b) 392
as this sum of 2 side should be greater than the third side, and it cant be equal
So, it cant take up the value 400
answer = 399 - 7 = 392

Is this solution Helpfull? Yes (1) | No   

Balkishan  (8 years ago)

Sum Of two side should be > rest of side (this is the key point)
ln(8)+ln(50)>ln(n)

====>>(using ln(a)+ln(b)=ln(ab))

ln(400)>ln(n)
400>n ------------------------------------------- 1st condition

now ln(8) + ln(n) > ln(50)
8n > 50 (Use of same concept as above)
n > 25/4 --------------------------------------------2nd condition

also include
ln(50) + ln(n) > ln(8)
50n>8
n > 4/25--------------------------------- 3rd condition..

have a look on all condition and try to find out the common term of all condition
(400 > n && n > 25/4 && n > 4/25 )
then we can conclude simply as
25/4 < n < 400
7

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Pankaj Belwal  (5 years ago)

since log a p= log p/log a
log ap(log a/p)/log pa(logp/a)
log ap (log pa)/log pa(log ap)
all the terms get cancelled
Ans will -----1.

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