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. Statement: All Apple are Banana. No Apple is Mango. Some Papaya are Banana. Conclusions: I. No Mango is Banana. II. Some Banana are Apple. III. Some Apple are Papaya.Solution
All Apple are Banana (A) → Conversion → Some Banana are Apple (I) + No Apple is Mango (E) → Some Banana are not Mango (O). Hence neither conclusion I nor III follow but conclusion II follows.
For A = [[2,3],[-1,4]], find det(2A).
A man spends 30% of his salary on rent, 25% on groceries, and the remaining on savings. If he saves ₹18,000, what is his total salary?
Determine the mean of the following observations:
24, 26, 22, 25, 20, 21, 24, 251153, 1206, ?, 1326, 1393, 1464
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² + 2x - 15 = 0
Equation 2: y² - 4y - 12 = 0
84 is divided into two parts in such a way that the fourth part of the first part and the fifth part of the second are in the ratio 1 : 2. The first par...
6 mangoes are bought for Rs 24 and 3 mangoes are sold for Rs 18. Find the percentage profit or loss.
In how many ways can 5 boys and 5 girls sit around a circle such that no two boys sit adjacent and no two girls sit adjacent?
A woman invested Rs. 75,000 at compound interest of 12% p.a. compounded annually for 1 year. If the interest had been compounded semi-annually, how much...