Question
Express: $1024$ as a power of $2.$
✓
Answer
$1024$ as a power of $2.$
$= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{10}$
| $2$ | $1024$ |
| $2$ | $512$ |
| $2$ | $256$ |
| $2$ | $128$ |
| $2$ | $64$ |
| $2$ | $32$ |
| $2$ | $16$ |
| $2$ | $8$ |
| $2$ | $4$ |
| $2$ | $2$ |
| $1$ |
$= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{10}$
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Q.1. Which of the following expressions gives the value of the computer (in ₹) after n years?
(a) $\frac{72900}{\left(\frac{2}{3}\right)^n}$ $\quad$$\quad$(b) $\frac{2^n \times 27900}{3^n}$ $\quad$$\quad$(c) $\frac{72900}{3^n}$ $\quad$$\quad$ (d) $\frac{72900}{2^n \times 3^n}$
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(a) ₹ 8100 $\quad$$\quad$(b) ₹ 2430 $\quad$$\quad$(c) ₹ 5600$\quad$$\quad$ (d) ₹ 2700
Q.3. In how many years will the value of the computer be less than ₹ 200?
(a) 6 years $\quad$$\quad$(b) 7 years $\quad$$\quad$(c) 8 years $\quad$$\quad$(d) 10 years
Q.4. By how much will the value of the computer reduce in 4 years?
(a) ₹ 24300 $\quad$$\quad$(b) ₹ 1800 $\quad$$\quad$(c) ₹ 8100 $\quad$$\quad$(d) ₹ 72000
→Q.1. Which of the following expressions gives the value of the computer (in ₹) after n years?
(a) $\frac{72900}{\left(\frac{2}{3}\right)^n}$ $\quad$$\quad$(b) $\frac{2^n \times 27900}{3^n}$ $\quad$$\quad$(c) $\frac{72900}{3^n}$ $\quad$$\quad$ (d) $\frac{72900}{2^n \times 3^n}$
Q.2. Find the value of the computer after 3 years.
(a) ₹ 8100 $\quad$$\quad$(b) ₹ 2430 $\quad$$\quad$(c) ₹ 5600$\quad$$\quad$ (d) ₹ 2700
Q.3. In how many years will the value of the computer be less than ₹ 200?
(a) 6 years $\quad$$\quad$(b) 7 years $\quad$$\quad$(c) 8 years $\quad$$\quad$(d) 10 years
Q.4. By how much will the value of the computer reduce in 4 years?
(a) ₹ 24300 $\quad$$\quad$(b) ₹ 1800 $\quad$$\quad$(c) ₹ 8100 $\quad$$\quad$(d) ₹ 72000