The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Let the three numbers be a, b and c.
According to the given condition
=>$ a^2 + b^2 + c^2 $= 138.
ANd, ab + bc + ca = 131.
Now, we know that $(a+b+c) ^2$ =$a^2 + b^2 + c^2$ + 2(ab+bc+ca)
On taking values we get$ (a+b+c) ^2$ = 138 + 2(131) = 400
=> a + b + c = 20.
|
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.? |
Answer |
|
In a two-digit, if it is known that its units digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: |
Answer |
|
If a person having 1000 Rs and he want to distribute this to his five children in the manner that each son having 20 rs more than the younger one, what will be the share of youngest child? |
Answer |
MindTree Logical Reasoning TestSyllogism:Statements: Some phones are computers. All computers are radios. All radios are televisions. Conclusion: (I) All televisions are computers. (II) Some radios are phone. |
Answer |
|
Statements: All scientists are researchers. Some researchers are teachers. Conclusions: (I) No scientist is a teacher. (II) Some teachers are scientists. |
Answer |
|
Analogy: ADE: FGJ :: KNO : ? |
Answer |
|
Analogy: Melt: Liquid :: Freeze : ? |
Answer |
|
Blood Relation: If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q? |
Answer |
|
Coding-Decoding: In a certain language, `me lo po` means `anu weds Vinay` and `pe to lo` means `Vinay comes here`, which word in that language means `come`? |
Answer |
|
Statement-Assumption: Statement: The first step in treating addicts is to re-establish their lost ties, for which a continuous personal attention should be paid to the addicts under treatment. Assumptions: (I) Addicts under treatment respond better when shown personal interest. (II) Addiction and strained relationships are intimately connected. |
Answer |