elitmus
Exam
Numerical Ability
Arithmetic
if 1/a+1/b+1/c=a+b+c, (a+b+c),(abc)is not equal to zero,then what is the value of (a+b)(b+c)(c+a)?
a)equals to zero
b)less than zero
c)greater than zero
d)can not be determined
Read Solution (Total 12)
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- d)can not be determined
bcoz if we put the value of a,b,c 1,1,-1 ans is zero
if we put the value of a,b,c 1,1,1 ans is zero is 8
so ans cab be 0 0r 8 so can not be determined
- 10 years agoHelpfull: Yes(11) No(1)
- d)can not be determined
Because when we put 1,1,1 for a,b and c the ans is > 0,
but when we put 1,1,-1 for a,b and c the ans is = 0,
when we put -1,-1,-1 for a,b and c the ans is < 0. Therefore the ans is d.
- 10 years agoHelpfull: Yes(7) No(1)
- It can only be possible when all are equal to 1 because no other value can satisfy the given condition. Therefore, the answer is 8.
- 10 years agoHelpfull: Yes(4) No(8)
- C) Greater then zero
Because a=1,b=1,c=1 satisfies the equation 1/a+1/b+... and we substitute the values in (a+b)(b+c)(c+a) value is 8. - 10 years agoHelpfull: Yes(3) No(3)
- (a+b)(b+c)(c+a)=a2b+a2c+b2a+b2c+c2a+c2b+2abc.........(1)
now, solve
wll get..
a2b+a2c+b2a+b2c+c2a+c2b+2abc=0...(2)
from (1) & (2)
(a+b)(b+c)(c+a)=0 - 10 years agoHelpfull: Yes(2) No(19)
- ans is 0,just solve 1/a+1/b+1/c=a+b+c
- 10 years agoHelpfull: Yes(2) No(2)
- (1,1,1) satisfies and gives >0 but
(1,1,-1) also satisfies and gives 0. so please correct me here..
- 10 years agoHelpfull: Yes(1) No(0)
- greater than 0
- 10 years agoHelpfull: Yes(0) No(1)
- solving eq
Σab=abc*Σa
also
(a+b)(b+c)(c+a)=Σab*Σa-abc=>abc*(Σa^2-1)
but we will get both -ve and +ve for different values of a,b,c=(1,1,1),(-1,-1,-1)
so D - 10 years agoHelpfull: Yes(0) No(0)
- Just hit n trial and make sure a b c are distinct values
so a= 2 b= -2 c= 1
ans is 0 - 9 years agoHelpfull: Yes(0) No(0)
- post correct questions only.....
- 9 years agoHelpfull: Yes(0) No(0)
- ques is wrong correct ques is in down
- 9 years agoHelpfull: Yes(0) No(0)
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