Number System Worksheet-2: Multiple choice questions on Indian number system, conversions, and Roman numerals for educational practice.

Let's solve each question step by step:

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Question 1:

1 million in Indian system is equal to
- Options:
(A) 1 lakh
(B) 10 lakh
(C) 1 crore
(D) None

Solution:
- In the Indian number system:
- 1 lakh = 100,000
- 1 crore = 10,000,000
- 1 million = 1,000,000
- 1 million is equivalent to 10 lakh in the Indian system.

Answer: (B) 10 lakh

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Question 2:

I daily walk 2 km, how many meters do I walk from Monday to Friday.
- Options:
(A) 1000
(B) 100
(C) 10
(D) 10000

Solution:
- 1 km = 1000 meters.
- Daily walking distance = 2 km = 2 × 1000 = 2000 meters.
- From Monday to Friday is 5 days.
- Total distance walked = 2000 meters/day × 5 days = 10,000 meters.

Answer: (D) 10000

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Question 3:

I buy 500 ml milk from the milkman, how much milk do I buy from him from Monday to Sunday?
- Options:
(A) 35000 ml
(B) 1000 ml
(C) 50000 ml
(D) 3.5 l

Solution:
- Milk bought per day = 500 ml.
- From Monday to Sunday is 7 days.
- Total milk bought = 500 ml/day × 7 days = 3500 ml.
- Convert 3500 ml to liters: \( 3500 \, \text{ml} = 3.5 \, \text{l} \).

Answer: (D) 3.5 l

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Question 4:

Difference of 500 and 200 in Roman numeral is
- Options:
(A) C
(B) CCC
(C) MMM
(D) D

Solution:
- Difference = 500 - 200 = 300.
- In Roman numerals:
- 300 = CCC.

Answer: (B) CCC

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Question 5:

If a girl is 16 years old, how will her age be written using Roman numerals?
- Options:
(A) VII
(B) XVI
(C) LX
(D) XL

Solution:
- 16 in Roman numerals:
- 10 = X
- 6 = VI
- Therefore, 16 = XVI.

Answer: (B) XVI

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Question 6:

The number obtained when 144 is divided by 12 in Roman numeral is:
- Options:
(A) X
(B) VII
(C) VIII
(D) XII

Solution:
- \( 144 \div 12 = 12 \).
- In Roman numerals:
- 12 = XII.

Answer: (D) XII

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Question 7:

A lady bought 2 kg of fruits and her neighbor bought 500 gm fruits, who bought more fruits?
- Options:
(A) The lady
(B) The neighbor
(C) Both
(D) None

Solution:
- Lady's purchase: 2 kg = 2000 gm.
- Neighbor's purchase: 500 gm.
- Clearly, 2000 gm > 500 gm.

Answer: (A) The lady

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Question 8:

In a four-digit number, if we want to use digit 9 one time, where should we keep it to make the largest number.
- Options:
(A) At ones place
(B) At hundred place
(C) At thousand place
(D) It is not possible

Solution:
- To form the largest four-digit number, the highest digit (9) should be placed at the most significant place, which is the thousand place.

Answer: (C) At thousand place

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Question 9:

An eight-digit number starts with _______ place in the Indian number system.
- Options:
(A) Ten lakh
(B) Crore
(C) Ten crore
(D) Ten million

Solution:
- In the Indian number system:
- An eight-digit number ranges from 10,000,000 to 99,999,999.
- This range corresponds to the "Crore" place.
- For example, 10,000,000 is 1 crore.

Answer: (B) Crore

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Final Answers:

1. (B) 10 lakh
2. (D) 10000
3. (D) 3.5 l
4. (B) CCC
5. (B) XVI
6. (D) XII
7. (A) The lady
8. (C) At thousand place
9. (B) Crore

Boxed Final Answer:
\[
\boxed{(B), (D), (D), (B), (B), (D), (A), (C), (B)}
\]