-
hariharakarthi
- Master | Next Rank: 500 Posts
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- GMAT Score:550
What is the average of P and q?
1. The average of 3p and 2q is 12.
2. The average of p^2 and q^2 is 26
[spoiler]OA is E.
But, i thought the second equation alone is sufficent. given (p^2+q^2)/2=26
If, we solve the equation in stmt 2,
p^2+q^2=52 ---A
Can't we take root on both sides,
p+q =sqrt(52) --- B. Here, B is sum of P and q. to find the avg divide the sum by 2.
Avg = sqrt(52)/2
Please advise, whether it is correct to root on the both sides.
Note: if we are taking root on both sides, it could be + or - p. do we need to consider -ve values of p and q here. Please explain in detail.
[/spoiler]
regards,
hhk
1. The average of 3p and 2q is 12.
2. The average of p^2 and q^2 is 26
[spoiler]OA is E.
But, i thought the second equation alone is sufficent. given (p^2+q^2)/2=26
If, we solve the equation in stmt 2,
p^2+q^2=52 ---A
Can't we take root on both sides,
p+q =sqrt(52) --- B. Here, B is sum of P and q. to find the avg divide the sum by 2.
Avg = sqrt(52)/2
Please advise, whether it is correct to root on the both sides.
Note: if we are taking root on both sides, it could be + or - p. do we need to consider -ve values of p and q here. Please explain in detail.
[/spoiler]
regards,
hhk
