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19 Jul 2018, 23:26
Kudos
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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:
5%
(low)
Question Stats:
84% (01:10) correct
16%
(01:10)
wrong
based on 226
sessions
History
Date
Time
Result
Not Attempted Yet
A secretary typed 6 letters, each of which had either 1 or 2 pages. If the secretary typed 10 pages in all, how many of the letters had 2 pages?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
19 Jul 2018, 23:59
Kudos
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Lets start by assigning pages to each letter.
Since each letter has atleast one page, we can assign one page to each of the 6 letters and we have 10 - 6 = 4 remaining pages.
Now we need to assign the remaining 4 pages to the letters.
Since the maximum number of pages for a letter is two, and each of the 6 letters already has one page, we can assign only one more page to any letter.
We have 4 pages remaining and 6 letters that can accept one more page, we can assign 4 pages to any of the 6 letters and still satisfy the constraint that any letter has either 1 or 2 pages.
Hence option D
Since each letter has atleast one page, we can assign one page to each of the 6 letters and we have 10 - 6 = 4 remaining pages.
Now we need to assign the remaining 4 pages to the letters.
Since the maximum number of pages for a letter is two, and each of the 6 letters already has one page, we can assign only one more page to any letter.
We have 4 pages remaining and 6 letters that can accept one more page, we can assign 4 pages to any of the 6 letters and still satisfy the constraint that any letter has either 1 or 2 pages.
Hence option D
25 Jan 2020, 10:02
Kudos
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Solution 1: Equation Method
Given
In this question, we are given that
- • A secretary typed 6 letters, each of which had either 1 or 2 pages
• The secretary typed 10 pages in all
To find
We need to determine
- • The number of letters that had 2 pages
Approach and Working out
Let us assume that the number of letters with 1 page is p and the number of letters with 2 pages is q.
- • As the total number of letters is 6, we can say p + q = 6
• Also, total number of pages is 10. Therefore, p + 2q = 10
Thus, option D is the correct answer.
Correct Answer: Option D
