Q. No.The length and breadth of a rectangular sheet are \(16.2\) cm and \(10.1\) cm, respectively. The area of the sheet in appropriate significant figures and error would be, respectively,
| 1. | \(164\pm3~\text{cm}^2\) | 2. | \(163.62\pm2.6~\text{cm}^2\) |
| 3. | \(163.6\pm2.6~\text{cm}^2\) | 4. | \(163.62\pm3~\text{cm}^2\) |
How many significant figures are present in the following numbers?
| \((\mathrm{I})\) | 25.12 |
| \((\mathrm{II})\) | 2009 |
| \((\mathrm{III})\) | 4.156 |
| \((\mathrm{IV})\) | 1.217 × 10⁻⁴ |
Select the correct answer set from the following:
| 1. | (i) 4, (ii) 3, (iii) 4, (iv) 4 |
| 2. | (i) 4, (ii) 4, (iii) 4, (iv) 4 |
| 3. | (i) 3, (ii) 4, (iii) 3, (iv) 3 |
| 4. | (i) 4, (ii) 4, (iii) 3, (iv) 3 |
In which of the following, the number of significant figures is different from that in the others?
| 1. | \(2.303~\text{kg}\) | 2. | \(12.23~\text{m}\) |
| 3. | \(0.002\times10^{5}~\text{m}\) | 4. | \(2.001\times10^{-3}~\text{kg}\) |
The mass and volume of a body are \(4.237~\text{g }\) and \(2.5~\text{cm}^3,\) respectively. The density of the material of the body in correct significant figures will be:
1. \(1.6048~\text{g cm}^{-3}\)
2. \(1.69~\text{g cm}^{-3}\)
3. \(1.7~\text{g cm}^{-3}\)
4. \(1.695~\text{g cm}^{-3}\)
The number of significant figures in \(0.0006032~\text m^2\) is:
| 1. | \(4 \) | 2. | \(5\) |
| 3. | \(7\) | 4. | \(3\) |
What is the number of significant figures in \(0.310\times 10^{3}?\)
| 1. | \(2\) | 2. | \(3\) |
| 3. | \(4\) | 4. | \(6\) |
Each side of a cube is measured to be \(7.203~\text{m}\). What are the total surface area and the volume respectively of the cube to appropriate significant figures?
| 1. | \(373.7~\text{m}^2\) and \(311.3~\text{m}^3\) |
| 2. | \(311.3~\text{m}^2\) and \(373.7~\text{m}^3\) |
| 3. | \(311.2992~\text{m}^2\) and \(373.7147~\text{m}^3\) |
| 4. | \(373.7147~\mathrm{m^2}\) and \(311.2992~\text{m}^3\) |
If \(97.52\) is divided by \(2.54\), the correct result in terms of significant figures is:
| 1. | \( 38.4 \) | 2. | \(38.3937 \) |
| 3. | \( 38.394 \) | 4. | \(38.39\) |
| 1. | \(0.0500\) | 2. | \(0.05000\) |
| 3. | \(0.0050\) | 4. | \(5.0 \times 10^{-2}\) |
The numbers \(2.745\) and \(2.735\) on rounding off to \(3\) significant figures will give respectively,
| 1. | \(2.75\) and \(2.74\) | 2. | \(2.74\) and \(2.73\) |
| 3. | \(2.75\) and \(2.73\) | 4. | \(2.74\) and \(2.74\) |
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