Question
Statements: Â All microscopes are
telescopes No telescope is a screw All screws are rockets Conclusions:  I. Some telescope are not rockets  II. Some rockets can never be microscope In each of the questions below are given some statements followed by some Conclusions. You have to take the given statements to be true even, if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.ÂSolution
No telescope is a screw (E) + All screws are rockets (A) → Some rockets are not telescopes (O*). Hence conclusion I does not follow. All microscopes are telescopes (A) + No telescope is a screw (E) → No microscope is a screw (E) + All screws are rockets (A) → Some rockets are not microscope (O*). Hence conclusion II follows.
If a + b + c = 14 and ab + bc + ca = 60, then find the value of a² + b² + c².
If x = (2+√3)/(2-√3), y = (2-√3)/(2+√3). Then find out the value of (x²+y²-xy)/(x²+y²+xy)?
If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (p² + q² + r²).
If z + (1/z) = 2 then find z105 + 1/(z105) = ?
(x + 1)2 + (y – 3) 2 + (z + 5) 2 = 0, then find the value of 2x + 3y - z.
If x =7+4√3. then find the value of x +1/ x
Atul has Rs.500 with him. He invested 30% of the amount at 5% p.a. for 6 years and rest at 20% p.a. for 4 years. Find the sum of simple interests receiv...
If (4x + 3y): (28x - y) = 1: 5, then what is the value of (3x 2 Â + 4y 2 ): (7x 2 Â + 2y 2 )?
Simplify:
7x + 9y - [(14x + 5y) - (5x + 3y) + 4y] - 5x(123×123×123 + 130×130×130)/(123×123 - 123×130 + 130×130) = ?Â