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The highway distance between Kathmandu and Narayanghat is \( 140000 \text{ m} \).

1. Which of the following denotes the scientific notation of that distance? \( [1U] \)
   (i) \( 14 \times 10^5 \text{ m} \)      (ii) \( 1.4 \times 10^5 \text{ m} \)      (iii) \( 1.4 \times 10^6 \text{ m} \)      (iv) \( 0.14 \times 10^5 \text{ m} \)
2. Write \( 1450 \) in Quinary number system. \( [1A] \)
3. If a filled circle \( \bullet \) and an empty circle \( \circ \) denote \( 1 \) and \( 0 \) respectively, which of the following circle should be shaded to denote \( 45 \) in binary number system? Show by shading. \( [1HA] \)
   \[ \begin{array}{cccccc} \circ & \circ & \circ & \circ & \circ & \circ \\ a & b & c & d & e & f \end{array} \]

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The length of the Mahendra Highway from Kakadbhitta in the east to Gaddachauki of Mahendranagar in west is \( 1027.67 \text{ kilometer} \).

1. Which of the following denotes the scientific notation of that length? \( [1U] \)
   (i) \( 1.02767 \times 10^6 \text{ m} \)      (ii) \( 10.2767 \times 10^6 \text{ m} \)      (iii) \( 102.767 \times 10^6 \text{ m} \)      (iv) \( 0.102767 \times 10^6 \text{ m} \)
2. Write \( 1028 \) in Quinary number system. \( [1A] \)
3. If a shaded square \( \blacksquare \) and an empty square \( \square \) denote \( 1 \) and \( 0 \) respectively, which of the following blocks should be shaded to denote \( 35 \) in binary number system? Show by shading. \( [1HA] \)
   \[ \begin{array}{cccccc} \square & \square & \square & \square & \square & \square \\ a & b & c & d & e & f \end{array} \]

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The highway distance between Kathmandu and Pokhara is \( 194 \text{ km} \).

1. Which of the following denotes the scientific notation of that distance? \( [1U] \)
   (i) \( 1.94 \times 10^3 \text{ km} \)      (ii) \( 19.4 \times 10^2 \text{ km} \)      (iii) \( 1.94 \times 10^2 \text{ km} \)      (iv) \( 0.194 \times 10^2 \text{ km} \)
2. Write \( 194 \) in Quinary number system. \( [1A] \)
3. If a filled circle \( \bullet \) and an empty circle \( \circ \) denote \( 1 \) and \( 0 \) respectively, which of the following circle should be shaded to denote \( 194 \) in binary number system? Show by shading. \( [1HA] \)
   \[ \begin{array}{cccccccc} \circ & \circ & \circ & \circ & \circ & \circ & \circ & \circ \\ a & b & c & d & e & f & g & h \end{array} \]

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In a month of \( 30 \) days, there are \( 2592000 \text{ seconds} \).

1. Which of the following is correct for its scientific notation? \( [1U] \)
   (i) \( 25.92 \times 10^4 \text{ sec} \)      (ii) \( 2.592 \times 10^6 \text{ sec} \)      (iii) \( 2.59 \times 10^7 \text{ sec} \)      (iv) \( 259.2 \times 10^3 \text{ sec} \)
2. Write \( 2592 \) in Quinary number system. \( [1A] \)
3. If a shaded square \( \blacksquare \) and an empty square \( \square \) denote \( 1 \) and \( 0 \) respectively, which of the following blocks should be shaded to denote \( 25 \) in binary number system? Show by shading. \( [1HA] \)
   \[ \begin{array}{ccccc} \square & \square & \square & \square & \square \\ a & b & c & d & e \end{array} \]