Large Numbers Around Us — Hard

Q1. The 'Thoughtful Thousands' calculator only has a +1000 button. After it is pressed 153 times starting from 0, the number displayed is

• A. 15,300
• B. 1,53,000
• C. 1,53,00,000
• D. 153

Q2. The 'Tedious Tens' calculator only has a +10 button. If it shows a number after being pressed exactly 435 times from 0, the number is

• A. 435
• B. 43,500
• C. 4,350
• D. 4,35,000

Q3. The 'Handy Hundreds' calculator only has a +100 button. How many times must it be pressed from 0 to show 3,700?

• A. 37
• B. 370
• C. 3,700
• D. 3

Q4. 'Systematic Sippy' has buttons +1, +10, +100, +1000, +10000, +1,00,000 and wants to be used as few times as possible. What is the minimum number of button clicks needed to make 5,072?

• A. 16
• B. 23
• C. 14
• D. 7

Q5. Assertion (A): For Systematic Sippy, the minimum number of button clicks to make any number equals the sum of the digits of that number. Reason (R): The minimum-click expression for any number is exactly its Indian place value notation.

• A. Both A and R are true, and R is the correct explanation of A.
• B. Both A and R are true, but R is NOT the correct explanation of A.
• C. A is true, R is false.
• D. A is false, R is true.

Q6. What is the nearest thousand of 3,87,69,957?

• A. 3,87,69,000
• B. 3,87,60,000
• C. 3,87,70,000
• D. 3,88,00,000

Q7. The nearest ten lakh of 29,05,32,481 is

• A. 29,00,00,000
• B. 29,10,00,000
• C. 29,05,00,000
• D. 30,00,00,000

Q8. What is the nearest lakh of 3,87,69,957?

• A. 3,87,00,000
• B. 3,90,00,000
• C. 3,88,00,000
• D. 3,87,70,000

Q9. When a 5-digit number is multiplied by a 5-digit number, the product can have

• A. Exactly 9 digits.
• B. Exactly 10 digits.
• C. Between 8 and 10 digits.
• D. 9 or 10 digits.

Q10. When an m-digit number is multiplied by an n-digit number, the maximum number of digits the product can have is

• A. m + n
• B. m + n − 1
• C. m × n
• D. max(m, n) + 1

Q11. When an m-digit number is multiplied by an n-digit number, the minimum number of digits the product can have is

• A. m + n
• B. max(m, n)
• C. m + n − 1
• D. m × n − 1

Q12. Assertion (A): 116 × 5 = 58 × 10, so the product is 580. Reason (R): Multiplying by 5 is the same as dividing by 2 and then multiplying by 10.

• A. Both A and R are true, and R is the correct explanation of A.
• B. Both A and R are true, but R is NOT the correct explanation of A.
• C. A is true, R is false.
• D. A is false, R is true.

Q13. If a person travels 1,000 km every day, can they reach the Sun (≈ 14.7 crore km) in a 100-year lifetime?

• A. Yes, in about 40 years.
• B. Yes, in exactly 100 years.
• C. Yes, in about 80 years.
• D. No — it would take about 403 years.

Q14. The RMS Titanic carried about 2,500 passengers. Can Mumbai's population (about 1,24,42,373 in 2011) fit into 5,000 such ships?

• A. No — 5,000 ships can hold only about 1.25 lakh people.
• B. No — 5,000 ships can hold only about 12,50,000 people.
• C. Yes — 5,000 ships can hold about 1.25 crore people, which is close to Mumbai's population.
• D. Yes — 5,000 ships can hold about 12.5 crore people.

Q15. How many lakhs make a billion?

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