Question
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 at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements . Statements. No hat is cap. All shirts are hats. All skirts are shirts. Conclusions. I. No skirt is a cap. II. Some shirts are cap. III. All skirts are hats.Solution
All shirts are hats (A) + No hat is cap (E) → Conversion → No shirt is a cap (E). All skirts are shirts (A) + No shirt is a cap (E) → No skirt is a cap (E). Hence conclusion I follow but conclusion II does not follow. All skirts are shirts (A) + All shirts are hats (A) → All skirts are hats (A). Hence conclusion III follows.
Find the value of 25 mod 6
- If 6x - 3y = 9, and 9xy = 18, then what is the value of 6x + 3y?
Two cards are drawn from a well-shuffled pack of 52 cards. What is the probability that both are aces?
In a rectangular floor of length and breadth of 12 metres and 9 metres, respectively, square tiles each of 3 metre edge length are to be laid. If the co...
Evaluate: 1 + tan²(cos⁻¹x)
Six women and two men can complete a task in 10 days. If the efficiency of a woman is twice that of a man, how many days will it ...
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 2x² - 10x + 12 = 0
Equation 2: 4y² - 16y + 15 = 0
A rectangular field has a length of 120 meters and a width of 80 meters. A pathway 2 meters wide is constructed along the inside edge of the field, all ...
A person spends 40% of his income on rent, 30% on food, and 20% on education. If he saves ₹2000, what is his total income?