Question
Read the given statements and conclusions carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All Planets are Stars. No Star is a Constellation. Some Constellations are Comets. Conclusions: I. Some Constellations are Stars. II. Some Comets are Planets. III. Some Stars are Planets.Solution
No Star is a Constellation (E) → Conversion → No Constellation is a Star (E). Hence conclusion I does not follow. All Planets are Stars (A) + No Star is a Constellation (E) → No Planet is a Constellation (E) + Some Constellations are Comets (I) → Some Comets are not Planets (O*). Hence conclusion II does not follow. All Planets are Stars (A) → Conversion → Some Stars are Planets (I). Hence conclusion III follows.
A man buys 200 shares of face value ₹100 each at ₹120 per share. The company declares a dividend of 15%. Find the rate of return on his investment.
Solve the equation: sin x = 1/2, 0 ≤ x ≤ 2π
The ratio of cost price to the marked price of an article is 5:8. The article had been marked above its cost price by Rs. 900. If the article was sold a...
The average of a, b and c is 8 less than d. If the average of a, b, c and d is 42, and the average of b and c is 43. then find the average of (a-6) and ...
The vertices of a triangle are (2, 1), (5, 4), and (8, 1). What is the area of the triangle?
Maximum value of f(x) = 3 cos x + 4 sin x is:
If detA = 3, detB = 2, then det(AB) =?
A person 'P' invested a total amount of Rs. 1800 in two SIPs, A and B, maintaining a ratio of 3:2. SIP A provides simple interest at a rate of 10% per a...
Suppose Ranjan purchases a bike for Rs. 6,50,000 and sells it for Rs. 8,00,000, calculate the profit % in this transaction.
'Ravi' can complete some work alone in 25 days. 'Shyam' is twice as efficient as 'Mohan' and four times as efficient as 'Ravi'. If 'Ravi' and 'Mohan' st...