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 fruits are leaves. Some mangoes are rotten. All rotten are fruits. Conclusions: I. Some leaves are rotten. II. Some mangoes are fruits. III. All leaves are either rotten or mangoes.Solution
All rotten are fruits (A) + All fruits are leaves (A) → All rotten are leaves (A) → Conversion → Some leaves are rotten (I). Hence conclusion I follows but conclusion III does not follow. Some mangoes are rotten (I) + All rotten are fruits (A) → Some mangoes are fruits (I). Hence conclusion II follows.
The weights (in kg) of 11 students are:
40, 45, 47, 50, 52, 52, 55, 55, 55, 60, 65
Find:
(a) the mean weight,
(b) the median weight,
In a triangle ABC, the internal bisector of ∠A meets side BC at D. If AB = 6 cm, AC = 9 cm, and BC = 12 cm, what is the length of BD?Â
Two friends, Ammu and Beenu, had some candies. One of them had 10 more candies than the other. The candies Ammu had were 60% of the total candies they h...
If x = a cos³ θ, y = a sin³ θ, then dy/dx at any θ is:
Find the general solution of cos 3x = 1/2:
(76.98% of 599.98) ÷ 20.99 = ? + 7.98% of 199.99
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the...
13, 55, 111, 183, 273, ?Â
The pie chart below represents the degree distribution of employees across five different offices, with a total of 4500 employees...
If tan(π/4 + θ) = 3, find tan(2θ):
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