Select the number from among the given options that can replace the question mark (?) in the following series. 2, 15, 41, 93, 197, ?
405
To determine the missing number in the series:
1. Identify the pattern in the given numbers:
- 2 → 15 → 41 → 93 → 197 → ?
2. Analyze the difference between consecutive numbers:
- (15 - 2) = 13, (41 - 15) = 26, (93 - 41) = 52, (197 - 93) = 104.
3. Observe the pattern in the differences: 13, 26, 52, 104 (each is doubling).
4. The next difference should be 208 (104 × 2), so 197 + 208 = 405.
5. Thus, the missing number is 405.
Important Questions from Number System
Consider the following statements :
1. (25)! + 1 is divisible by 26
2. (6)! + 1 is divisible by 7
Which of the above statements is/are correct ?
If the sum S is divided by 8, what is the remainder ?
If the sum S is divided by 60, what is the remainder ?
Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.
How many composite numbers are there from 53 to 97 ?
