Match List - I with List - II.List - I(Number) List - II(Significant figure) (A) 1001 (I) 3 (B) 010.1 (II) 4 (C) 100.100 (III) 5 (D) 0.0010010 (IV) 6
Choose the correct answer from the options given below :
| List - I(Number) | List - II(Significant figure) |
| (A) 1001 | (I) 3 |
| (B) 010.1 | (II) 4 |
| (C) 100.100 | (III) 5 |
| (D) 0.0010010 | (IV) 6 |
- (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
- (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
- (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
- (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
The Correct Option is C
Approach Solution - 1
To solve this problem, we need to match numbers from List - I with their corresponding significant figures from List - II. Here's how we can determine the number of significant figures for each number:
- Number \( (A) \) 1001:
- This number does not contain any leading or trailing zeros that are not significant. It has four non-zero digits.
- Therefore, it has \(4\) significant figures.
- Number \( (B) \) 010.1:
- The leading zero before 10.1 is not significant. The digits '10.1' are significant.
- Hence, it has \(3\) significant figures.
- Number \( (C) \) 100.100:
- This number has trailing zeros after the decimal point, making them significant. All digits are significant.
- Thus, it has \(6\) significant figures.
- Number \( (D) \) 0.0010010:
- The leading zeros (0.00) are not significant, but zeros at the end of the decimal places with non-zero digits are significant.
- Therefore, it has \(5\) significant figures.
Based on our analysis, the correct matching is:
- (A) 1001 - (II) 4 significant figures.
- (B) 010.1 - (I) 3 significant figures.
- (C) 100.100 - (IV) 6 significant figures.
- (D) 0.0010010 - (III) 5 significant figures.
The correct option is: (A)-(II), (B)-(I), (C)-(IV), (D)-(III).
Approach Solution -2
To determine the number of significant figures in each number, we apply the following rules:
- All non-zero digits are significant.
- Leading zeros are not significant.
- Trailing zeros are significant if there is a decimal point.
Matching the Numbers with Their Significant Figures
(A) 1001: All four digits are non-zero, so there are 4 significant figures.
(B) 010.1: The leading zero is not significant, so there are 3 significant figures.
(C) 100.100: All digits are significant, including the trailing zeros after the decimal. Thus, there are 6 significant figures.
(D) 0.0010010: The leading zeros are not significant, but all other digits, including the trailing zero, are significant. This gives 5 significant figures.
Matching
- (A) 1001 - (II) 4
- (B) 010.1 - (I) 3
- (C) 100.100 - (IV) 6
- (D) 0.0010010 - (III) 5
Conclusion: The correct matching is (A)-(II), (B)-(I), (C)-(IV), (D)-(III).
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