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1. In an election, 1,29,52,179 votes were found valid, and 12,68,141 voters did not cast their votes. How many votes were registered in all?

2. A society collected ₹12,35,820 for charity fund in one year and ₹28,25,320 in another year. If they used ₹26,72,500 out of the total amount collected in the two years for the education of poor children, how much money are they left with now?

3. If a milk booth sells 1258 litres of milk in a day, how much milk will it sell in the last three months of a year? If the milk costs ₹48 per litre, what will be the cost of the total milk sold in these three months?

4. A total of 1,30,893 loaves of bread are to be delivered to 23 bakeries across the city. If an equal quantity of loaves is to be delivered to each bakery, how many loaves of bread does each bakery get?

5. A traveller covered a distance of 43400 km in 175 days. If he covered the same distance every day, how much distance did he cover each day?

6. During an IPL Match, Varun rounded off the number of viewers in a stadium to be 35,000. What are the five likely values of the number of people in the stadium that led him to round off the number to 35,000?

7. Three children read the same story-books. Ranjna reads 128 pages in 2 days, Apurv reads 372 in 4 days, and Nikhil reads 574 pages in 1 week. Who read the fastest?

8. Frame the word problems for each of the following:
(a) 52634 + 2846 = 55480
(b) 900000 - 99999 = 800001
(c) 9876 x 321 = 3170196
(d) 40875 ÷ 125 = 40750

Answer :

  1. Total Votes Registered:

    To find the total votes registered, add the number of valid votes to the number of voters who did not cast their votes:

    [tex]1,29,52,179 + 12,68,141 = 1,42,20,320[/tex]

    Therefore, a total of 1,42,20,320 votes were registered.

  2. Charity Fund Remaining:

    First, we calculate the total amount collected in two years:

    [tex]12,35,820 + 28,25,320 = 40,61,140[/tex]

    Then, subtract the amount used for the education of poor children:

    [tex]40,61,140 - 26,72,500 = 13,88,640[/tex]

    Thus, the society is left with ₹13,88,640.

  3. Milk Sales in Three Months:

    First, we determine the number of days in the last three months of the year. Assuming 31 days each for October, November, and December, the total is:

    [tex]31 + 30 + 31 = 92\text{ days}[/tex]

    If the booth sells 1258 litres of milk daily, over 92 days, it sells:

    [tex]1258 \times 92 = 1,15,736\text{ litres}[/tex]

    At ₹48 per litre, the total cost of milk sold is:

    [tex]1,15,736 \times 48 = ₹55,55,328[/tex]

  4. Loaves of Bread per Bakery:

    To find out how many loaves each bakery receives, divide the total loaves by the number of bakeries:

    [tex]\frac{1,30,893}{23} = 5,690\text{ loaves (approximately)}[/tex]

    Each bakery gets approximately 5,690 loaves of bread.

  5. Daily Distance Covered by the Traveller:

    Divide the total distance by the number of days:

    [tex]\frac{43,400}{175} = 248\text{ km per day}[/tex]

    Thus, the traveller covers 248 km daily.

  6. Rounding to 35,000:

    When rounding to 35,000, consider numbers close to it:

    Likely values could be 34,950 to 35,049, both inclusive. Possible numbers include 34,995, 34,998, 35,001, 35,003, and 35,005.

  7. Fastest Reader Among Children:

    To find who reads the fastest, determine the rate of pages per day:

    • Ranjna: [tex]\frac{128}{2} = 64\text{ pages/day}[/tex]
    • Apurv: [tex]\frac{372}{4} = 93\text{ pages/day}[/tex]
    • Nikhil: [tex]\frac{574}{7} \approx 82\text{ pages/day}[/tex]

    Apurv reads the fastest with 93 pages per day.

  8. Framing Word Problems:

    a) "Rahul recorded 52,634 clicks on his website last month and an additional 2,846 clicks this month. How many clicks in total did he receive over both months?"

    b) "A city initially had a budget of ₹9,00,000. After spending ₹99,999 on a new project, how much money is left in the budget?"

    c) "A factory produces 9,876 items each day. If the production continues at this rate for 321 days, how many items will be produced in total?"

    d) "A bakery sells 40,875 muffins, and these are packed into boxes containing 125 muffins each. How many such boxes have been used?"

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