Study the following number sequence and answer the given question.
${\text{5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8 5 2 2 4 3 4 9 6}}$
How many even numbers are there in the sequence which are immediately preceded by an odd number but immediately followed by an even number?
A. 1
B. 2
C. 3
D. 4
Answer
674.4k+ views
Hint: In this problem, we need to observe the given sequence and find out the combination where an even number is immediately preceded by an odd number and immediately followed by an even number.
Complete step-by-step solution -
From the given sequence, it can be observed that there are 3 such combinations where an even number is immediately preceded by an odd number and immediately followed by an even number as shown below.
${\text{5 1 4 7 3 9 8 5 }}\underline {{\text{7 2 6}}} {\text{ 3 1 }}\underline {{\text{5 8 6}}} {\text{ 3 8 }}\underline {{\text{5 2 2}}} {\text{ 4 3 4 9 6}}$
Thus, option (C) is the correct answer.
Note: In the sequence, we need to find an even number which is immediately preceded by an odd number and immediately followed by an even number. This is a common-sense based question here we need to remember what is to be an odd number and even number. Here students should be clear about the proceeding terms and following terms.
Complete step-by-step solution -
From the given sequence, it can be observed that there are 3 such combinations where an even number is immediately preceded by an odd number and immediately followed by an even number as shown below.
${\text{5 1 4 7 3 9 8 5 }}\underline {{\text{7 2 6}}} {\text{ 3 1 }}\underline {{\text{5 8 6}}} {\text{ 3 8 }}\underline {{\text{5 2 2}}} {\text{ 4 3 4 9 6}}$
Thus, option (C) is the correct answer.
Note: In the sequence, we need to find an even number which is immediately preceded by an odd number and immediately followed by an even number. This is a common-sense based question here we need to remember what is to be an odd number and even number. Here students should be clear about the proceeding terms and following terms.
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