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04 Jun 2018, 09:09
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:35) correct
26%
(01:38)
wrong
based on 1294
sessions
History
Date
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Not Attempted Yet
Currently there are 50 picture books on each shelf in the children's section of a library. If these books were to be placed on smaller shelves with 30 picture books on each shelf, how many of the smaller shelves would be needed to hold all these books?
(1) The number of smaller shelves needed is 6 more than the current number of shelves.
(2) Currently there are 9 shelves in the children's section.
(1) The number of smaller shelves needed is 6 more than the current number of shelves.
(2) Currently there are 9 shelves in the children's section.
04 Jun 2018, 09:15
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let bigger shelves =x
smaller shelves = y
total nu of books before = 50*x
total nu of books afterwards = 30*y
st 1 : y=x+6
so, 50(x)=30(x+6) hence we can find the nu of shelves.
st : 2 x=9, so find nu of total books then divide by 30.
hence each one is sufficient, ANS D.
smaller shelves = y
total nu of books before = 50*x
total nu of books afterwards = 30*y
st 1 : y=x+6
so, 50(x)=30(x+6) hence we can find the nu of shelves.
st : 2 x=9, so find nu of total books then divide by 30.
hence each one is sufficient, ANS D.
04 Jun 2018, 09:33
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Solution
Given:
- • Currently 50 picture books are there in each shelf in the children’s section
To find:
- • How many shelves would be required if each shelf has 30 books
Analysing Statement 1
- • As per the information given in statement 1, the number of smaller shelves needed is 6 more than the current number of shelves
- o If n is the current number of shelves, then number of smaller shelves will be (n + 6)
o As per the information, \(50 * n = 30 * (n + 6)\)
o Solving this, we can find out the value of n
Hence, statement 1 is sufficient to answer
Analysing Statement 2
- • As per the information given in statement 2, currently there are 9 shelves
• If we assume there would be x shelves after rearrangement, we can say
- o \(50 * 9 = 30 * x\)
o Solving this, we can find out the value of x
Hence, statement 2 is sufficient to answer
Hence, the correct answer is option D.
Answer: D
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