Question

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 :

• A. (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
• B. (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
• C. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
• D. (A)-(I), (B)-(II), (C)-(III), (D)-(IV)

Answer 1

The Correct Option is C

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: 

1. 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.
2. 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.
3. 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.
4. 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:

1. (A) 1001 - (II) 4 significant figures.
2. (B) 010.1 - (I) 3 significant figures.
3. (C) 100.100 - (IV) 6 significant figures.
4. (D) 0.0010010 - (III) 5 significant figures.

The correct option is: (A)-(II), (B)-(I), (C)-(IV), (D)-(III).

Answer 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).