Two 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: All utensils are spoons. All bowls are spoons.
Conclusions:
I. No utensil is a bowl.
II. Some utensils are bowls.
III. No spoon is a utensil.
Only conclusion I follows
Step 1: Let's analyze the statements: - The first statement says ``All utensils are spoons." This means every utensil is a spoon, but it doesn’t necessarily mean that all spoons are utensils. - The second statement says ``All bowls are spoons." This means every bowl is a spoon, but it doesn’t necessarily mean that all spoons are bowls.
Step 2: Now let's evaluate the conclusions:
- Conclusion I: ``No utensil is a bowl." This is incorrect, because it’s possible for some utensils to be bowls, as both are types of spoons.
- Conclusion II: ``Some utensils are bowls." This is also possible, as both utensils and bowls are categorized under spoons.
- Conclusion III: ``No spoon is a utensil." This is false, as all utensils are spoons.
Thus, conclusion I or II can follow, but conclusion III does not follow.
Thus, the correct answer is option (C) Either conclusion I or II follows.
Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
P. It is because deer, like most of the animals that tigers normally prey on, run much faster! It simply means, another day of empty stomach for the big cats.
Q. Tigers spend most of their life searching for food.
R. If they trace the scent of deer, tigers follow the trail, chase the deer for a mile or two in the dark, and yet may not catch them.
S. For several nights, they relentlessly prowl through the forest, hunting for a trail that may lead to their prey.
Each row of Column-I has three items and each item is represented by a circle in Column-II. The arrangement of circles in Column-II represents the relationship among the items in Column-I. Identify the option that has the most appropriate match between Column-I and Column-II. Note: The figures shown are representative.
The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the figure.
Which one of the following options correctly shows the resultant figure?
Note: The figures shown are representative
Which of the following predicate logic formulae/formula is/are CORRECT representation(s) of the statement: "Everyone has exactly one mother"? The meanings of the predicates used are: \( {mother}(y, x) \): \( y \) is the mother of \( x \) \( {noteq}(x, y) \): \( x \) and \( y \) are not equal
Evaluate the following limit: $ \lim_{n \to \infty} \prod_{r=3}^n \frac{r^3 - 8}{r^3 + 8} $.
In the given cycle ABCDA, the heat required for an ideal monoatomic gas will be: