Large Numbers Around Us — Mastery

Q1. Roxie asks: 'If we ate 2 varieties of rice every day for 100 years (ignoring leap years), would we taste 1 lakh varieties?' The correct conclusion is

• A. Yes — we would taste exactly 1 lakh varieties.
• B. No — we would taste about 7,30,000 varieties, more than 1 lakh.
• C. Yes — we would taste 36,500 varieties, more than 1 lakh.
• D. No — we would taste about 73,000 varieties, less than 1 lakh.

Q2. Estu says: 'If a person lives for y years (ignoring leap years), the number of days in that lifetime is 365 × y.' This is because

• A. Each year has 12 months and y is the number of months.
• B. The product 365 × y treats y as the count of years and 365 as the number of days in one year.
• C. 365 is the number of weeks in a year.
• D. Days and years are unrelated; this formula is a coincidence.

Q3. According to the 2011 Census, Chintamani's population was about 75,000. By how much is 75,000 less than one lakh?

• A. 5,000
• B. 75,000
• C. 15,000
• D. 25,000

Q4. Which three numbers lie strictly between 99,996 and 1,00,000 in counting order?

• A. 99,995, 99,996, 99,997
• B. 99,997, 99,998, 99,999
• C. 99,998, 99,999, 1,00,000
• D. 1,00,001, 1,00,002, 1,00,003

Q5. What is the next whole number after 99,999?

• A. 1,00,001
• B. 9,99,99,9
• C. 1,00,000
• D. 10,00,000

Q6. According to the chapter, the Kunchikal waterfall is in Karnataka. From what approximate height is it said to drop?

• A. 40 metres
• B. 180 metres
• C. 300 metres
• D. 450 metres

Q7. Somu's building is about 40 m tall. Kunchikal waterfall drops from about 450 m. By how many metres is the waterfall taller than Somu's building?

• A. 410
• B. 490
• C. 450
• D. 40

Q8. Each floor of Somu's building is about 4 m. About how many floors must the building have to be as high as the 450 m Kunchikal waterfall?

• A. 45
• B. 113
• C. 180
• D. 450

Q9. Roxie says: 'If 1 lakh people stood shoulder to shoulder in a line, they could stretch as far as ___ kilometres.' The chapter fills this blank with

• A. 10
• B. 20
• C. 38
• D. 100

Q10. Estu, arguing that one lakh is not that big, says about the cricket stadium in Ahmedabad

• A. It seats exactly 50,000 people.
• B. It seats fewer than 50,000 people.
• C. It seats about 10,000 people.
• D. It seats more than 1 lakh people.

Q11. According to the chapter, how many hairs are typically found on a human head?

• A. Between 80,000 and 1,20,000
• B. About 1 crore
• C. About 1,000
• D. Exactly 1 lakh

Q12. Write 'Ten lakhs two hundred and thirty-five' in the Indian place value system.

• A. 10,00,235
• B. 10,235
• C. 1,00,235
• D. 10,02,035

Q13. The 'Tedious Tens' calculator only has a +10 button. How many times must it be pressed to show 500?

• A. 5
• B. 50
• C. 500
• D. 5,000

Q14. How many hundreds are required to make ten thousand?

• A. 10
• B. 1,000
• C. 100
• D. 10,000

Q15. Using Creative Chitti's buttons (+1, +10, +100, +1000, +10000, +1,00,000, +10,00,000), you make exactly 30 button presses. What is the largest 3-digit number you can make?

• A. 999
• B. 993
• C. 300
• D. 120

Q16. In the Indian place value system, commas are placed from the right of a large number with the grouping pattern

• A. 3, 3, 3 (every three digits)
• B. 2, 2, 2 (every two digits)
• C. 3, 2, 3 (three then two then three)
• D. 3, 2, 2 (first three, then two, then two)

Q17. In the American (international) naming system, large numbers are grouped from the right as

• A. 3, 3, 3 (every three digits — thousands, millions, billions)
• B. 3, 2, 2 (first three, then two, then two)
• C. 2, 2, 2 (every two digits)
• D. 4, 4, 4 (every four digits)

Q18. The Indian word 'lakh' for 1,00,000 is rooted in which classical language, and is used today in countries including

• A. Greek; used in Greece and Italy.
• B. Persian; used only in Iran.
• C. Latin; used in the United Kingdom.
• D. Sanskrit; used in India, Pakistan, Bangladesh, Nepal, Sri Lanka, Myanmar and Bhutan.

Q19. An item costs Rs. 470. A shopkeeper says, 'It is around Rs. 450.' This is an example of

• A. Rounding up — the approximate value is more than the actual.
• B. Rounding down — the approximate value is less than the actual.
• C. Exact value — no approximation is involved.
• D. Nearest-thousand rounding — the value is rounded to the nearest 1,000.

Q20. According to the 2011 Census, Chintamani's exact population was 76,068. In the chapter, this is approximated as

• A. 80,000
• B. 76,000
• C. 1,00,000
• D. 75,000

Q21. The nearest crore of 6,72,85,183 is

• A. 6,00,00,000
• B. 6,73,00,000
• C. 6,70,00,000
• D. 7,00,00,000

Q22. From the 2011 Census table in the chapter, Patna's population is about 16,84,222 and Mumbai's is about 1,24,42,373. By approximately what whole number should Patna's population be multiplied to get a number close to Mumbai's?

• A. 3
• B. 7
• C. 10
• D. 25

Q23. From the chapter's table, Bengaluru's population grew from 43,01,326 in 2001 to 84,25,970 in 2011. The chapter highlights Bengaluru as a city whose population

• A. Almost doubled in the decade.
• B. Almost halved in the decade.
• C. Stayed nearly the same.
• D. Almost tripled in the decade.

Q24. Using a quick grouping shortcut, the product 25 × 12 equals

• A. 200
• B. 250
• C. 300
• D. 350

Q25. Using clever grouping, the product 125 × 40 × 8 × 25 equals

• A. 1,00,000
• B. 1,000
• C. 10,000
• D. 10,00,000

Q26. Without computing every case, the product of a 3-digit number and another 3-digit number must always have

• A. Exactly 6 digits.
• B. Exactly 5 digits.
• C. Either 5 or 6 digits.
• D. Anywhere from 4 to 7 digits.

Q27. Legends say Purandaradāsa composed 1250 × 380 = 4,75,000 kīrtanas in his lifetime. If he composed actively for about 80 years, roughly how many songs per year would that be, and is the legend reasonable?

• A. About 5,938 songs per year — far too many to compose in any one year, so the legend reflects exaggeration, not literal counting.
• B. About 100 songs per year — entirely realistic for a busy composer.
• C. About 50 songs per year — close to one song per week, clearly literal.
• D. About 500 songs per year — about one or two a day, perfectly normal.

Q28. If a single sheet of paper weighs about 5 grams, can one person lift 1 lakh sheets of paper at the same time?

• A. Yes — 1 lakh sheets weigh about 50 kg, easily lifted in one go.
• B. No — 1 lakh sheets weigh about 500 kg, far beyond what one person can lift.
• C. Yes — they weigh about 5 kg, no problem at all.
• D. No — they weigh about 5,000 kg, which is roughly the weight of a small lorry.

Q29. How many lakhs make a billion?

• A. 10,000 lakhs
• B. 1,000 lakhs
• C. 100 lakhs
• D. 1,00,000 lakhs

Q30. The Statue of Unity in the chapter is about 180 m tall. If each coin is exactly 1 mm thick, about how many coins must be stacked to match its height?

• A. 18,000 coins
• B. 1,80,00,000 coins
• C. 18,00,000 coins
• D. 1,80,000 coins