Home
Class 14
MATHS
What will come in place of question mark...

What will come in place of question mark (?) in the given question?
15 21 32 48 69 ?

A

103

B

100

C

89

D

95

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series 15, 21, 32, 48, 69, ?, we will analyze the differences between the consecutive numbers. ### Step-by-Step Solution: 1. **Identify the series**: The series is 15, 21, 32, 48, 69, ?. 2. **Calculate the differences between consecutive terms**: - Difference between 21 and 15: \( 21 - 15 = 6 \) - Difference between 32 and 21: \( 32 - 21 = 11 \) - Difference between 48 and 32: \( 48 - 32 = 16 \) - Difference between 69 and 48: \( 69 - 48 = 21 \) So, the differences are: 6, 11, 16, 21. 3. **Calculate the differences of the differences**: - Difference between 11 and 6: \( 11 - 6 = 5 \) - Difference between 16 and 11: \( 16 - 11 = 5 \) - Difference between 21 and 16: \( 21 - 16 = 5 \) The second-level differences are all 5. 4. **Predict the next difference**: Since the second-level difference is consistent at 5, we can predict the next difference in the first-level differences: - Next difference = 21 + 5 = 26. 5. **Calculate the missing term**: Now, we add this next difference to the last known term in the series: - Missing term = 69 + 26 = 95. Thus, the missing number in the series is **95**. ### Final Answer: The value that comes in place of the question mark (?) is **95**.
Promotional Banner

Similar Questions

Explore conceptually related problems

What will come in the place of question mark (?) in the below series?

What will come in place of question mark (?) in the following questions ? 7685.32 + 456.34 + 7632.50 = ? + 232.6

What will come in place of question mark (?) in the following questions ? 8.8 xx 3.2 xx 4.5 - 7.2 xx 3.2 = ?

What will come in place of question mark (?) in the following questions ? 52% of 8540 + 15% of 7860 = ? + 2540

What will come in place of question mark (?) in the following questions ? sqrt(48 xx 28 xx 14 xx 6) -224 =?

What will come in place of question mark(?) in the following questions? (45xx 4.5 xx 3.2) + 343 =?

What will come in place of question mark (?) in the following questions ? 58% of 30102 - 32% of 17344 = ?

What will come in place of question mark(?) in the following questions? 16x12 -672+21 = ? -211

What will come in place of question mark (?) in the following questions ? (? + 102.50)/(?) = ((21)/(20))^(2)

What will come in place of question mark (?) in the following questions ? 39.86 - 14.21 - 3.83 + 0.78 = ?