Question
Statements: All pen are pencil.
All pencil are mobile. All mobile are laptop. Conclusions: I. All mobile are pen. II. All laptop may be pen. In each of the questions below are given two/three statements followed by two conclusions numbered I, and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.Solution
All pen are pencil (A) + All pencil are mobile(A) = All pen are mobile(A) ⇒ Conversion ⇒ Some mobile are pen(I). Hence, conclusion I will not follow. All pen are pencil(A) + All pencil are mobile(A) = All pen are mobile(A) + All mobile are laptop(A) = All pen are laptop (A) ⇒ Conversion ⇒ Some laptop are pen(I) ⇒ Probable conclusion ⇒ All laptop may be pen(A). Hence, conclusion II will follow.
If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%,then the area of the rectangle increases by x%. Then the value of ...
A number is increased by 20%, and the resulting number is decreased by 20%. If the initial number is ₹x, the final number is ₹2880. What is the valu...
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9
(u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then find the value of 4u - v + w.
If x = (√13 + √12)/ (√13 - √12) and y = (√13 - √12)/(√13 + √12), then find the value of 4x2 – xy + 4y2.
...If a, b and c are integers such that a 2 + b 2 + c 2 = 228, a + b + c = 26 and b = c, then find the value of a?
Find ‘x’ if (x³+3x)/(3x²+1) = 189/61
What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
If ( p = 40 - q - r ) and ( pq + r(q + p) = 720 ), then find the value of ( p2 + q2 + r2).