Question
'X', 'Y', and 'Z' are three mixtures of milk and water.
The ratio of quantity of milk to that of water in mixtures 'X', 'Y', and 'Z' is 4:5, 2:3, and 3:4, respectively. If mixtures 'X', 'Y', and 'Z' are mixed in the ratio 3:5:2, find the concentration of milk in the final mixture.Solution
Let the quantities of mixtures 'X', 'Y', and 'Z' in the final mixture be 3a, 5a, and 2a, respectively. Now, calculate the amount of milk in each mixture: Milk in 'X' = (4/9) × 3a = (12a/9) = (4a/3) Milk in 'Y' = (2/5) × 5a = (10a/5) = 2a Milk in 'Z' = (3/7) × 2a = (6a/7) Total amount of milk = (4a/3) + 2a + (6a/7) LCM of 3 and 7 = 21, so: (4a/3) = (28a/21), (2a) = (42a/21), (6a/7) = (18a/21) Total amount of milk = (28a + 42a + 18a) / 21 = (88a/21) Now, calculate the total quantity of the final mixture: Total mixture = 3a + 5a + 2a = 10a The concentration of milk = (Total amount of milk / Total mixture) × 100 = (88a/21) / 10a × 100 = (88/210) × 100 = 41.90% ≈ 42% Correct option: b
The interviewer asked the candidate (a) / to what district (b) / he came from. (c) / No Error (d)Â
She stops by the (A)/corner store to pick up a few things(B)/ and gives a much-deserved scold (C)/to a young kid caught shoplifting (D). Â
"This question consists of a sentence which is divided into four parts numbered (1) to 4. only one part of the sentence is not acceptable in standard w...
While the situation is no different (A)/ in other states, it looks all (B)/the more stark in Bihar where (C)/the party has played second (D)/ fiddle to ...
Rama has(A)/ no taste(B)/ in classical music.(C)/ No error(D)
Read the given sentence to find out whether there is any grammatical/contextual error/(s) in it. The errors, if any will be in two parts of the sentence...
The following sentence has been split into four segments. Identify the segment that contains a spelling error.
Half the encantment of the place/w...
The existing Constitution, in any (1)/ case, does not prevent the emergence of (2)/ office bearers who in popular perception are (3)/ seen as proxies of...
The army men or their only commander-in-chief (A)/were not ready (B)/to accept defeat so easily, (C)/so they fought fiercely (D).
In each question below, a sentence is given with a part of it being bold. That part may contain a grammatical error. Each sentence is followed by phras...
