If k is an integer such that 55 <k< 70, what is the value of k? Statement
1:-K can be written as a sum of 8 consecutive numbers. Statement
2:-If k were divided by 3, the remainder would be 0.
Choose the correct option above.
1.the question can be answered by using one of the statements alone, but cannot be answered by using the other statements alone.
2. the question can be answered by using both statements together, but cannot be answered by using either statement alone.
3.the question can be answered by using either statement alone.
4.Questions cannot be answered even by using both the statements together.
Answers
Given : k is an integer such that 55 <k< 70,
Statement 1 :-K can be written as a sum of 8 consecutive numbers.
Statement 2 -If k were divided by 3, the remainder would be 0
To Find : the correct option
1.the question can be answered by using one of the statements alone, but cannot be answered by using the other statements alone.
2. the question can be answered by using both statements together, but cannot be answered by using either statement alone.
3.the question can be answered by using either statement alone.
4.Questions cannot be answered even by using both the statements together.
Solution:
k is an integer such that 55 <k< 70,
K is from 56 to 69
Statement 1:-K can be written as a sum of 8 consecutive numbers.
Let say 8 consecutive numbers are
n , n+ 1 ,......................., n + 7
Then sum = 8n + 1 + 2 +................+ 7
= 8n + 7 (8)/2
= 8n + 28
55 < 8n + 28 < 70
=> 27 < 8n < 42
=> 4 ≤ n ≤ 5
8n + 28
60 , 68
( not unique answer)
Statement 2 -If k were divided by 3, the remainder would be 0
Then possible values are 57 , 60 ,63 , 66
( not unique answer)
Statement 1 : 60 , 68
Statement 2 : 57 , 60 ,63 , 66
From Both 60
Value of K = 60
the question can be answered by using both statements together, but cannot be answered by using either statement alone.
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k is an integer such that 55 <k< 70
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