Question
A and B together can complete a work in 10 days, B and C
together in 12 days and C and A together in 15 days. In how many days can each of them complete the work alone?Solution
Let daily work rates be a, b, c. a + b = 1/10 b + c = 1/12 c + a = 1/15 Add all three: 2(a + b + c) = 1/10 + 1/12 + 1/15 LCM(10,12,15) = 60 1/10 = 6/60, 1/12 = 5/60, 1/15 = 4/60 Sum = 15/60 = 1/4 ⇒ a + b + c = 1/8 Now: a = (a + b + c) − (b + c) = 1/8 − 1/12 = 3/24 − 2/24 = 1/24 ⇒ A alone: 24 days b = (a + b + c) − (a + c) = 1/8 − 1/15 = 15/120 − 8/120 = 7/120 ⇒ B alone: 120/7 days c = (a + b + c) − (a + b) = 1/8 − 1/10 = 5/40 − 4/40 = 1/40 ⇒ C alone: 40 days.
In this question, two statements are followed by two conclusions, numbered I and II. Find out which conclusion(s) is/are definitely true, based on the ...
Statements: U = R < M < Q < P; A > B > E < R < T; I < N = B > U > X
Conclusions:
I.  P ≤ U
II. Â T > A
...In which of the following expressions will the expression ‘S > Y’ and ‘R > Y be definitely true?
Statements:
E ≥ H > O < R > U = X
Conclusions:
I. E < O
II. X = O
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is/are definitely true and then ...
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
Statements: I % C, C & D, D $ K, K # Z
Conclusions: I. I & DÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. D # Z
...Statements: A < B < E = C = F ≤ H ≤ G > L ≥ D
Conclusions:
I. H > A
II. G ≥ E
III. L > CStatements: F > C > K; L < G < D; C ≥ H < D > I
Conclusions:
I. L < C
 II. K > I
III. F > H
Statements: N & C, C # I, I @ L, L % Y
Conclusions: I.   C & Y                   II. L # N
...
