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28 Dec 2021, 10:58
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
65% (01:25) correct
35%
(01:27)
wrong
based on 653
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following can be the number of integers between 3x and 9x, both inclusive, if x is a positive integer?
A.8
B.12
C.13
D.15
E.16
A.8
B.12
C.13
D.15
E.16
30 Dec 2021, 12:30
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Here is the OE
Solution:
Step 1: Understand Question Statement
• We need to find the number of integers between 3x and 9x, both inclusive.
• x is a positive integer.
Step 2: Define Methodology
• The number of integers between any two points, including those two points = b -a + 1 (where b > a)
• In this case 9x > 3x, since x is a positive integer.
• Using the above formula, we can get value in x, and we need to logically deduce, which option will be correct.
Step 3: Calculate the final answer
• No. of integers between 9x and 3x, including both = 9x – 3x + 1 = 6x + 1
Now, let’s look at the answer options.
• Option A: 8 = 6 x 1 + 2
• Option B: 12 = 6 x 2
• Option C: 13 = 6 x 2 + 1 (This in the form of 6 * x + 1)
• Option D: 15 = 6 x 2 + 3
• Option E: 16 = 6 x 2 + 4
Solution:
Step 1: Understand Question Statement
• We need to find the number of integers between 3x and 9x, both inclusive.
• x is a positive integer.
Step 2: Define Methodology
• The number of integers between any two points, including those two points = b -a + 1 (where b > a)
• In this case 9x > 3x, since x is a positive integer.
• Using the above formula, we can get value in x, and we need to logically deduce, which option will be correct.
Step 3: Calculate the final answer
• No. of integers between 9x and 3x, including both = 9x – 3x + 1 = 6x + 1
Now, let’s look at the answer options.
• Option A: 8 = 6 x 1 + 2
• Option B: 12 = 6 x 2
• Option C: 13 = 6 x 2 + 1 (This in the form of 6 * x + 1)
• Option D: 15 = 6 x 2 + 3
• Option E: 16 = 6 x 2 + 4
17 Mar 2022, 04:04
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The total number of integers between 3x and 9x, both inclusive is given by
9x-3x+1 or 6x+1
therefore the answer is (Multiple of 6) + 1
only choice c does that.
9x-3x+1 or 6x+1
therefore the answer is (Multiple of 6) + 1
only choice c does that.
