Question
Anil, Anshika and Anamika can do a certain piece of work
in 64 days, 72 days and 96 days, respectively. All of them started working together but after ___ days, Anil and Anshika left the job and the remaining work is done by Anamika alone in ___ days. The values given in which of the following options will fill the blanks in the same order in which is it given to make the above statement true: I. 24, 4 II. 11, 53.5 III. 18, 27 IV. 12, 50Solution
Let the total work = 576 units (LCM of 64, 72 and 96) Amount of work done by Anil alone in one day = 576/64 = 9 units Amount of work done by Anshika alone in one day = 576/72 = 8 units Amount of work done by Anamika alone in one day = 576/96 = 6 units Amount of work done by Anil , Anshika and Anamika together in one day = 9 + 8 + 6 = 23 units For option A: Amount of work done by Anil , Anshika and Anamika together in 24 days = 23 × 24 = 552 units Amount of work done by Anamika alone in 4 days = 6 × 4 = 24 units Total work done = 552 + 24 = 576 units So, option A can be the answer. For option B: Amount of work done by Anil , Anshika and Anamika together in 11 days = 23 × 11 = 253 units Amount of work done by Anamika alone in 53.5 days = 6 × 53.5 = 321 units Total work done = 253 + 321 = 574 units ≠576 units So, option B can’t be the answer. For option C: Amount of work done by Anil, Anshika and Anamika together in 18 days = 23 × 18 = 414 units Amount of work done by Anamika alone in 27 days = 27 × 6 = 162 units Total work done = 414 + 162 = 576 units So, option C can be the answer. For option D: Amount of work done by Anil, Anshika and Anamika together in 12 days = 23 × 12 = 276 units Amount of work done by Anamika alone in 50 days = 6 × 50 = 300 units Total work done = 276 + 300 = 576 units So, option D can be the answer.
Statements:Some pins are needles.
All needles are ropes.
Some ropes are buckets.
All buckets are trees.
Conclusions:I. Some ...
Statements: Some pins are needles.
All needles are ropes.
Some ropes are buckets.
All buckets are trees.
Conclusions:I. some...
Statement : Only a few White is Blue
Only a few Blue is Red
All Red is black
Conclusion
I. All Blue being black is a poss...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if t...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if t...
Statement:
All Pens are pencil.
Only Pencils are Laptop.
Only Pens are Mobile.
Only Pencils are Book.
Conclusion :...
Statements:
Only a few Novels are Journals.
Only a few Journals are Booklets.
All Booklets are Magazine.
Some Booklets are ...
Conclusions:
I. Some Rings are Bangles.
II. No Necklace is an Ornament.
III. Only a few Anklet are Rings.
Statements:
Three statements are followed by four conclusions numbered I, II, III, and IV. You have to consider these statements to be true, even if they seem at va...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if ...
Relevant for Exams:
