Visualising Using Dots

Q. If $2^{x+1}+2^{x-1}=320$, then the value if $x$ is

1. $6$
2. $7$
3. $5$
4. $8$

Q. Which of the following diagram represents $(2^1{)}^2$?

1. A
2. B
3. C
4. D

Q. Which of the following figures represents $2^3$?

1. B
2. A
3. C
4. D

Q. For visualising the power $2^7$ using dots, we need dots in all.

1. $256$
2. $64$
3. $512$
4. $128$

Q. $(2^{3n}-1)$ will be divisible by $(\forall n\in N)$

1. $8$
2. $25$
3. $7$
4. $3$

Q. If $x^y=y^x$ and $x^2=y,$ where $x$ and $y$ are distinct Positive real number, then the value of $x+2y$ is :

1. $3$
2. $8$
3. $12$
4. $10$

Q.

Express $(3\times {10}^2)+(2\times {10}^1)+(9\times {10}^0)+(2\times {10}^{-1})+(5\times {10}^{-2})$ as a numeral.

1. 32.925

2. 3292.5

3. 3.2925

4. 329.25

Q. Expanded form of $243.7=(2\times {10}^2)+(4\times {10}^1)+$ + $(7\times {10}^{-1}$)

1. $(4\times {10}^1)$
2. $(3\times {10}^1)$
3. $(3\times {10}^0)$
4. $(3\times {10}^2)$

Q. For visualising the power $2^7$ using dots, we need dots in all.

1. $256$
2. $64$
3. $512$
4. $128$

Q.

4329 = ___

1. $(9\times {10}^0)+(2\times {10}^1)+(3\times {10}^2)+(4\times {10}^3)$

2. $(4\times {10}^{-3})+(3\times {10}^1)+(2\times {10}^2)+(9\times {10}^3)$

3. $(4\times {10}^{-3})+(3\times {10}^{-2})+(2\times {10}^{-1})+(9\times {10}^0)$

4. $(9\times {10}^{-3})+(2\times {10}^{-2})+(3\times {10}^{-1})+(4\times {10}^3)$