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What will come in place of question mark...

What will come in place of question mark(?) in the given number series.
145 158 119 184 93 ?

A

378

B

290

C

210

D

280

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series 145, 158, 119, 184, 93, ?, we need to identify the pattern in the differences between the numbers. ### Step-by-Step Solution: 1. **Identify the first difference**: - From 145 to 158: \[ 158 - 145 = 13 \] 2. **Identify the second difference**: - From 158 to 119: \[ 119 - 158 = -39 \] 3. **Identify the third difference**: - From 119 to 184: \[ 184 - 119 = 65 \] 4. **Identify the fourth difference**: - From 184 to 93: \[ 93 - 184 = -91 \] 5. **List the differences**: - The differences we have are: \[ +13, -39, +65, -91 \] 6. **Identify the pattern in the differences**: - The pattern alternates between addition and subtraction. The absolute values of the differences are: \[ 13, 39, 65, 91 \] - The differences in absolute values are: \[ 39 - 13 = 26, \quad 65 - 39 = 26, \quad 91 - 65 = 26 \] - This shows that the differences increase by 26 each time. 7. **Calculate the next difference**: - The next difference should be: \[ 91 + 26 = 117 \] - Since the last operation was subtraction, this time we will add: \[ 93 + 117 = 210 \] 8. **Conclusion**: - Therefore, the missing number in the series is: \[ \boxed{210} \]
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