Question
Statements: Some Venice are Godot. Some
Milan are Godot. Some Italy are Milan. Conclusions: I. Some Venice are definitely Milan. II. Some Italy being Godot is a possibility. III. At least some Italy are Venice. IV. All Godot being Venice is a possibility. In each question below are given some statements followed by some conclusions numbered I, II, etc are given. You have to take the 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 given statements, disregarding commonly known facts.Solution
Some Milan are Godot(I) + Some Venice are Godot⇒ Conversion ⇒ Some Godot are Venice (I) ⇒ No conclusion. Hence conclusion I does not follow. Some Italy are Milan(I) + Some Milan are Godot(I) ⇒ Possibility ⇒ Some Italy being Godot is a possibility(I). Hence conclusion II follows. Some Italy are Milan(I) + Some Milan are Godot(I) ⇒ No conclusion. Hence conclusion III does not follow. Some Venice are Godot(I) ⇒ Conversion ⇒ Some Godot are Venice(I) ⇒ Probable conclusion ⇒ All Godot being Venice is a possibility. Hence conclusion IV follows. ALTERNATE SOLUTION: Minimal Possibility
- Find the HCF of 84 and 630.
The ratio of two numbers is 5:10 and their LCM is 100. The numbers are:
What is the HCF of 36 and 198?
LCM of two numbers is 5 times their HCF. The product of the numbers is 4500. What will be the maximum possible difference between the numbers?
HCF of two numbers 65 and 104 can be expressed in the form of (40m β 107) whereas LCM of these two numbers can be expressed in the form of (60n β 20...
What is the least number that should be multiplied to 735 so that it becomes divisible by 42?
The HCF and LCM of two consecutive even number is 2 and 112 respectively. Find the sum of reciprocal of these two numbers?
Five bells commence tolling together and tolls at intervals of 6, 12, 36, 42 and 60 seconds respectively. In 126 minutes, how many times do they toll to...
What is the LCM of 2/3, 4/6, 8/27?
The ratio between three numbers is 7:3:2. Their HCF is given to be 5. Determine the LCM of the numbers.