find the missing number-
12, 26, 312, 420, ____, 642, 756
a) 528 b) 529, c)530, d)531
and pl temme the logic
Answers
Answer:
529 is correct answer
Step-by-step explanation:
I hope that helps ful
Given:
A sequence of numbers 12, 26, 312, 420, ____, 642, 756.
To Find:
The missing number __, which satisfies the series.
Solution:
The given sequence can be solved by developing a common logic between every term.
1. The second term of the sequence is obtained using the logic,
=> 26 = (tens digit of first number + 1)(units digit of first number +4).
2. The third term of the sequence is obtained using the logic,
=> 312 = (tens digit of second number + 1)(units digit of second number +6).
3. The fourth term of the sequence is obtained using the logic,
=> 420 = (tens digit of third number + 1)(units digit of third number +8).
4. The seventh term of the sequence is obtained using the logic,
=> 756 = (tens digit of sixth number + 1)(units digit of sixth number +14).
5. Using the above pattern, the unknown term can be calculated,
=> Unknown term = (tens digit of fourth number + 1)(units digit of sixth number + 10),
=> Unknown term = Hundreds place =(4+1), remaining digits(20+10),
=> Unknown term = 530.
Therefore, the missing number in the series is 530. Option C is the correct answer.