Question
If ( p = 60 - q - r ) and ( pq + r(q + p) = 1080), then
find the value of ( p2 + q2 + r2).Solution
We have, ( p = 60 - q - r ) So, ( p + q + r = 60) And, ( pq + r(q + p) = 1080) Or, ( pq + qr + pr = 1080) Using, ( (p + q + r)2 = p2 + q2 + r2 + 2(pq + qr + pr) ) ((60)2 = (p2Â + q2Â + r2) + 2 x 1080) ((p2Â + q2Â + r2) = 3,600 - 2,160) ((p2Â + q2Â + r2) = 1440
Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be a...
Statements: All males are females.
All females are men.
No man is a woman.
All women are Girl...
Statement :Â All students are parents.
           Some teachers are parents.
           N...
Statement:
Some ducks are gooses.
All gooses are turkey.
No duck is hen.
No hens are parrot.
Conc...
Statements:
All Sheep are Peacock.
 All Peacock are Deer.
 Mostly Sheep are Hen.
 Conclusion:
I. Few...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Read the given statements and conclusion carefully. Assuming the information given in the statement is true, even if it appears to be at variance with ...
Statements:
Only a few fan are lamp
No fan is chair
Only a few chair are lamp
Conclusions:
I. All chair can be la...
Statements:
At least some Chlorine are Bromine
Every Bromine are Sulphur
Each Sulphur are Hydrogen
Conclusions:
...
Statements:Â
Some dogs are cat
No cat is a lion
All lions are tiger
Conclusion:
I. All dog can never be lion
...
