High School

4. The product of the place values of two 5's in 75352 is:

(a) 2500
(b) 25
(c) 25000
(d) 250000

5. The difference between the largest 5-digit number and the largest 5-digit number with three distinct digits is:

(a) 10
(b) 10012
(c) 12
(d) 123

6. Which of the following numbers is the smallest?

(a) Ten lakh seven
(b) One million two
(c) One million one hundred thousand
(d) Twelve lakh

7. The Hindu-Arabic numeral for the Roman numeral CCCXL is:

(a) 3500
(b) 190
(c) 120
(d) 340

Long Answer Type Questions:

8. Find the estimated sum of 4,380 and 18,765 to the nearest thousand.

9. A vessel has 5 liters and 120 milliliters of mango shake. Into how many glasses, each of 40 ml capacity, can it be filled?

Higher Order Thinking Skills (HOTS):

10. The sum of my digits is 12. When rounded off to the nearest hundred, I am 500. Rounding off to the nearest 10 makes me 530. What am I?

Answer :

Let's answer the given questions step by step:

  1. Product of the place values of two 5's in 75352:

    • The first '5' in 75352 is in the thousands place. So, its place value = [tex]5 \, \times \, 1000 = 5000[/tex].
    • The second '5' is in the tens place. So, its place value = [tex]5 \, \times \, 10 = 50[/tex].
    • The product of the place values = [tex]5000 \, \times \, 50 = 250000[/tex].
    • Option (d) 250000 is correct.

  2. Difference between the largest 5-digit number and the largest 5-digit number with three distinct digits:

    • The largest 5-digit number is 99999.
    • The largest 5-digit number with three distinct digits is 99876.
    • The difference = [tex]99999 - 99876 = 123[/tex].
    • Option (d) 123 is correct.

  3. Smallest of the given numbers:

    • Ten lakh seven = 1,000,007
    • One million two = 1,000,002
    • One million one hundred thousand = 1,100,000
    • Twelve lakh = 1,200,000
    • Smallest number is (b) One million two = 1,000,002.

  4. Hindu-Arabic numeral for Roman numeral CCCXL:

    • CCC = 300
    • XL = 40
    • Total = 300 + 40 = 340
    • Option (d) 340 is correct.

  5. Estimated sum of 4,380 and 18,765 to the nearest thousand:

    • Round 4,380 to nearest thousand = 4,000
    • Round 18,765 to nearest thousand = 19,000
    • Estimated sum = 4,000 + 19,000 = 23,000

  6. Number of 40 ml glasses that can be filled from 5 liters 120 milliliters:

    • Convert 5 liters to milliliters = [tex]5 \times 1000 = 5000[/tex] ml
    • Total volume in milliliters = 5000 ml + 120 ml = 5120 ml
    • Number of 40 ml glasses = [tex]\frac{5120}{40} = 128[/tex]

  7. The number when rounded off has the sum of digits as 12:

    • Rounded off to nearest hundred gives 500.
    • Rounded off to nearest ten gives 530.
    • Possible numbers are 525 to 534.
    • Checking each, 534: [tex]5 + 3 + 4 = 12[/tex].
    • So, the number is 534.

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