Number System Worksheet-2 featuring multiple choice questions on Indian number system, Roman numerals, and basic arithmetic.

Here are the step-by-step solutions for each question on the worksheet:

(1) 1 million in Indian system is equal to
* Step 1: In the international system, 1 million is written as 1,000,000.
* Step 2: In the Indian system, we group digits differently. 1,00,000 is called 1 lakh.
* Step 3: If you count ten groups of 1 lakh (10 × 1,00,000), you get 10,00,000.
* Conclusion: Therefore, 1 million is equal to 10 lakhs.
* Correct Option: (B)

(2) I daily walk 2 kms, how many meters do I walk from Monday-to Friday.
* Step 1: First, convert kilometers to meters. We know that 1 km = 1000 meters. So, 2 km = 2000 meters.
* Step 2: Count the days from Monday to Friday. That is Monday, Tuesday, Wednesday, Thursday, Friday = 5 days.
* Step 3: Multiply the daily distance by the number of days: $2000 \text{ meters} \times 5 \text{ days} = 10,000 \text{ meters}$.
* Correct Option: (D)

(3) I buy 500 ml milk from milkman, how much milk do I buy from him from Monday to Sunday?
* Step 1: Count the days from Monday to Sunday. That is a full week, which is 7 days.
* Step 2: Multiply the daily amount by 7: $500 \text{ ml} \times 7 = 3500 \text{ ml}$.
* Step 3: Check the options. Option (A) says 35000 ml (too big). Option (D) says 3.5 l. Let's convert our answer to liters.
* Step 4: Since 1000 ml = 1 liter, then $3500 \div 1000 = 3.5$ liters. This matches option (D).
* Correct Option: (D)

(4) Difference of 500 and 200 in roman numeral is
* Step 1: Find the difference using normal numbers first: $500 - 200 = 300$.
* Step 2: Convert 300 into Roman Numerals. The symbol for 100 is 'C'.
* Step 3: For 300, we write 'C' three times: CCC.
* Correct Option: (B)

(5) If a girl is 16 years old, how will her age be written using roman numerals?
* Step 1: Break down the number 16. It is $10 + 5 + 1$.
* Step 2: Find the Roman symbols: 10 is X, 5 is V, and 1 is I.
* Step 3: Put them together in order from largest to smallest: X + V + I = XVI.
* Correct Option: (B)

(6) The number obtained when 144 is divided by 12 in roman numeral is:
* Step 1: Perform the division first: $144 \div 12 = 12$.
* Step 2: Convert the number 12 into Roman Numerals.
* Step 3: 12 is $10 + 2$. The symbol for 10 is X, and 2 is II.
* Step 4: Combine them: XII.
* Correct Option: (D)

(7) A lady bought 2 kg of fruits and her neighbor bought 500 gm fruits, who buy more fruits?
* Step 1: To compare, the units must be the same. Let's change kilograms to grams.
* Step 2: We know 1 kg = 1000 gm. So, 2 kg = 2000 gm.
* Step 3: Compare the two amounts: The lady has 2000 gm and the neighbor has 500 gm.
* Step 4: 2000 is greater than 500, so the lady bought more.
* Correct Option: (A)

(8) In four digit number, if we want to use digit 9 one time, where should we keep it to make a largest number.
* Step 1: A four-digit number has places: Thousands, Hundreds, Tens, and Ones.
* Step 2: The "Thousands" place is the most valuable spot because it represents thousands. Putting the biggest digit there makes the whole number as large as possible.
* Step 3: For example, 9111 is much bigger than 1119.
* Correct Option: (C)

(9) An eight digit number starts with _______ place in Indian number system.
* Step 1: Let's list the places in the Indian system from right to left:
1. Ones
2. Tens
3. Hundreds
4. Thousands
5. Ten Thousands
6. Lakhs
7. Ten Lakhs
8. Crores
* Step 2: The 8th place from the right is the Crore place. An 8-digit number looks like this: 1,00,00,000 (One Crore).
* Correct Option: (B)

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Final Answer:
(1) (B)
(2) (D)
(3) (D)
(4) (B)
(5) (B)
(6) (D)
(7) (A)
(8) (C)
(9) (B)