Question
Statement : Some biscuits are cakes. All
cakes are flours. All flours are muffins. Conclusion : I. All muffins being biscuits is a possibility. II. At least some flours are biscuits. III. Some cakes are not muffins. In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.Solution
Some biscuits are cakes (I) + All cakes are flours (A) ⇒ Some biscuits are flours (I) + All flours are muffins (A) ⇒ Some biscuits are muffins (I) ⇒ Conversion ⇒ Some muffins are biscuits (I) ⇒ Probable Conclusion ⇒ All muffins being biscuits is a possibility(A). Hence conclusion I and II follows. All Cakes are flours (A) + All flours are muffins (A) ⇒ All Cakes are muffins (A). Hence conclusion III will not follow.
If polynomial P(x) = x3 - 3x2 + 5x-3 is divided by polynomial G (x) = x2 - 2, the quotient and remainder are:
If x = 99, then the value of x5 - 100x4 + 100x3 - 100x2 + 100x - 1 is
If x = 15
find x 5 - 16 x 4 + 16 x 3 - 16 x 2 + 16 x  - 16 = ?
If x4 + x3 + x2 + x + 1 = 0, then find the value of x1525 + x720 + 14 + x320 =?
when x =4 and y =-6 then find the value of 27x³ +58x²y +31xy² +8y³?
If n = 6 + √13, then find the value of (n + 1/n)².
If (7x + 5y) = 206 and 3x:2y = 27:16, then find the value of (x² + 2y²).
Length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm2) of the rhombus?
if x2 – 2x + 1 = 0, then find the value of (x7 + x5 + x4 + x2)/x ?
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