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In each of the following question a numb...

In each of the following question a number series is a given. After the series, a number is given followed by (a),(b),(c),(d) and (e). You have to complete the series starting with the number given following the sequence of the given series. Then answer the given questions.
60 121 131 264 284 571 601
120 (a) (b) (c) (d) (e)
Which of the following numbers will cone in place (d)?

A

524

B

1011

C

1010

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to identify the pattern in the given series and then extend that pattern starting from the number 120. The series provided is: **60, 121, 131, 264, 284, 571, 601** ### Step-by-Step Solution: 1. **Identify the Pattern in the Given Series:** - From 60 to 121: \[ 60 \times 2 + 1 = 121 \] - From 121 to 131: \[ 121 + 10 = 131 \] - From 131 to 264: \[ 131 \times 2 + 2 = 264 \] - From 264 to 284: \[ 264 + 20 = 284 \] - From 284 to 571: \[ 284 \times 2 + 3 = 571 \] - From 571 to 601: \[ 571 + 30 = 601 \] The pattern alternates between multiplying by 2 and adding an increasing number (1, 2, 3, ...) and simply adding a number that increases by 10 (10, 20, 30, ...). 2. **Starting with the Given Number (120):** - First, we apply the same pattern starting from 120. - **Step 1: Multiply by 2 and add 1:** \[ 120 \times 2 + 1 = 241 \] - **Step 2: Add 10:** \[ 241 + 10 = 251 \] - **Step 3: Multiply by 2 and add 2:** \[ 251 \times 2 + 2 = 504 \] - **Step 4: Add 20:** \[ 504 + 20 = 524 \] - **Step 5: Multiply by 2 and add 3:** \[ 524 \times 2 + 3 = 1051 \] - **Step 6: Add 30:** \[ 1051 + 30 = 1081 \] 3. **Determine the Value at (d):** - From the calculations, the value at position (d) corresponds to the result after adding 20 to the third step: \[ (d) = 524 \] ### Final Answer: The number that will come in place (d) is **524**.
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