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Knowing Our Numbers Test - 11

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Knowing Our Numbers Test - 11
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  • Question 1
    1 / -0
    (5,534 - 3,536) estimated to the nearest hundred is equal to
    Solution
    First solve the values in bracket i.e
    5,534 - 3,536 = 1998
    When rounding to the nearest hundred, we look in the tens column.
    So, the estimated answer is:
    2000
  • Question 2
    1 / -0
    Find the difference between the place values of the two 6s in 4,56,236.
    Solution
    The given number is 4,56,236.
    One 6 is in the thousands column, so its place value would be 6,000.
    The other 6 is in the ones column, so its place value would be 6.
    So, difference = 6,000 - 6 = 5,994
  • Question 3
    1 / -0
    How can the number 'nine billion nine hundred thousand and ninety-nine' be written in expanded form?
    Solution
    Nine billion nine hundred thousand and ninety-nine = 9,000,900,099 = 9,000,000,000 + 900,000 + 90 + 9
  • Question 4
    1 / -0
    Estimate: 21 x 49.
    Solution
    The general rule is: Round off each factor to its greatest place, then multiply the rounded off factors.
    So, Rounding off 21 to 20 and 49 to 50, we multiply 20 and 50.
    Therefore, by estimating 21 x 49, we get 20 x 50 = 1000
  • Question 5
    1 / -0
    Find XC + LXXX.
    Solution
    XC is 90.
    LXXX is 80.
    XC + LXXX = 90 + 80 = 170
    170 is CLXX in the Roman numerals.
  • Question 6
    1 / -0
    Find the largest 5-digit and the smallest 5-digit numbers that can be formed by using the digits 6, 3, 4, 5 and 9, if the digits can be used only once.
    Solution
    Given digits = 6, 3, 4, 5, 9
    Largest 5-digit number that can be formed = 96,543
    Smallest 5-digit number that can be formed = 34,569
  • Question 7
    1 / -0
    The ten thousands column is third to the left of the _____________.
    Solution
    It can be understood by using the place value chart.



    As clear from the figure, the ten thousands column is third to the left of the tens column.
  • Question 8
    1 / -0
    Bhardwaj goes to a shop and he has Rs. 1196 in his pocket. He wants to buy bottles of juice. The cost of each bottle is Rs. 52. Find the number of bottles he can buy.
    Solution
    Total amount = Rs. 1,196
    Cost of each bottle = Rs. 52
    So, number of bottles he can buy = 1196 ÷ 52 = 23
  • Question 9
    1 / -0
    For the number 45,278, which of the following statements is true?
    Solution
    The given number is 45,278.
    Therefore, writing 45,278 in a table:


    We can clearly see that 5 is at thousands place and 7 in at tens place.
    Hence, option (4) is the correct answer.
  • Question 10
    1 / -0
    The sum of the largest 3-digit number and the smallest 2 digit number is:
    Solution
    The largest 3-digit number is 999 - in Roman it is CMXCIX.
    The smallest 2-digit number is 10 - in Roman it is X.
    So, sum = 999 + 10 = 1009
    1009 in Roman numerals is MIX.
    Hence, option 4 is correct.

  • Question 11
    1 / -0
    A factory produces 4,878 spanners in a day. Which of the following is the best estimate of the number of spanners produced?
    Solution
    4,878 rounded to the nearest hundred is 4,900.
    Hence, this is the best estimate from the given options.
  • Question 12
    1 / -0
    'Forty-seven crore thirty-eight lakh five thousand four hundred' written in numerals is _____________.
    Solution
    According to the correct place values, 47,38,05,400 is the correct way to write the given number.
  • Question 13
    1 / -0
    Identify the place value for the underlined digit in the number given below:

    56,78,786
    Solution

    From the place value chart, we can see that the underlined digit 7 (56,78,786) is in the ten thousands column.
  • Question 14
    1 / -0
    The place value of a digit increases by ________ times as it move one place from right to left.
    Solution
    As we move one place from right to left, each place increases by 10 times.
  • Question 15
    1 / -0
    The descending order of the Roman numerals XLIII, XCIX and LXI is:
    Solution
    XCIX = 99
    LXI = 61
    XLIII = 43
    99 > 61 > 43
    So, XCIX > LXI > XLIII is the correct descending order.
  • Question 16
    1 / -0
    The thousands period in the international number system consists of the places:
    Solution
    The thousands period in the international number system consists of the places Th, TTh and HTh.
    Th - Thousands
    TTh - Ten thousands
    HTh - Hundred thousands
  • Question 17
    1 / -0
    Meenal gets 18 sweets from her father and Raj gets 68 sweets. The sum of the number of sweets with both of them (in Roman numerals) is ___.
    Solution
    18 + 68 = 86, which is LXXXVI (50 + 10 + 10 + 10 + 5 + 1).
  • Question 18
    1 / -0
    The number name for 60,09,00,100 according to the Indian system of numeration is:
    Solution
    The number name for 60,09,00,100 according to the Indian system of numeration is 'sixty crore nine lakh and one hundred'.
  • Question 19
    1 / -0
    Estimate the difference of 24,567 and 18,993 by rounding off each number to the nearest hundred.
    Solution
    24,567 rounded to the nearest hundred is 24,600 and 18,993 rounded to the nearest hundred is 19,000.
    So, 24,600 - 19,000 = 5600
  • Question 20
    1 / -0
    What is the difference between the place value and the face value of the underlined digit in the following number?

    56,786
    Solution
    The place value of 8 here is 80 (at tens place) and the face value is 8.
    So, the difference is 80 - 8 = 72.
  • Question 21
    1 / -0
    A football tournament had 3 matches on Monday, Tuesday and Wednesday. The number of spectators on Monday was 56,958 and the number of spectators on Tuesday was 26,542. On Wednesday, the number of spectators was 67,890. How many spectators were present in total in all the matches?
    Solution
    From the question it is clear that we have to add the number of spectators for all the three days to find the total number.
    So, 56,958 + 26,542 + 67,890 = 1,51,390
  • Question 22
    1 / -0
    Rahul deposited Rs. 26,789 in a bank on Monday and double of it on Tuesday. How much money did he withdraw on Wednesday so that there were 40,000 rupees remaining in his bank account?
    Solution
    Money deposited on Monday = Rs. 26,789
    Money deposited on Tuesday =2 x 26789 = Rs. 53,578
    Total amount of money in the account = 26,789 + 53,578 = Rs. 80,367
    So,
    Total amount - Amount remaining = Amount that Rahul withdrew
    80,367- 40,000 = Rs. 40,367
  • Question 23
    1 / -0
    Sameer goes to his office daily. He walks 1 km 234 m to reach the bus stand and then travels by bus for 20 minutes. The distance travelled by bus is 8 km 34 m. How much distance does he travel in total, if he goes to his office and comes back for 5 days in a week?
    Solution
    Total distance travelled by Sameer in a day = 1 km 234 + 8 km 34 m = 9 km 268 m
    Since he also comes back the same distance;
    Total distance travelled from home to office and back home = 18 km 536 m
    We have to multiply this distance by 5 to find the total distance travelled in a week.
    i.e. 18 × 5 + 536 × 5 = 90 km + 2,680 m = 92 km 680 m
  • Question 24
    1 / -0
    A factory manufactures 850 cycle hubs on one machine in a day. If there are 24 machines running in the factory, then how many cycle hubs will the factory manufacture in the month of July, given there is no holiday on Sundays?
    Solution
    From the given information, number of cycle hubs made by 24 machines in a day = 850 x 24 = 20,400
    Now, there are 31 days in July and as all Sundays are working.
    So, total number of pieces manufactured = 20,400 x31 = 6,32,400
  • Question 25
    1 / -0
    Venkatesh was working on a two-step problem of Mathematics. He had to work out a calculation of 231 x 26 + 34. Instead of that, he calculated as 231 x 34 + 26. What is the difference in the answers that he calculated?
    Solution
    Working out both the calculations, we get
    231 x 26 + 34 = 6,040
    Similarly, for the second calculation, we have
    231 x 34 + 26 = 7,880
    So, difference between these two answers = 7,880 - 6,040 = 1,840
  • Question 26
    1 / -0
    Fill in the blanks:

    1. The number 6,57,345 rounded to the nearest ten thousand is ___P___.
    2. The estimated sum of 4,999 and 759 is ___Q___.
    3. The Roman numeral for the number 356 is ___R___.

    P Q R
    A 6,60,000 5,760 CCCLVI
    B 6,57,000 5,860 CCCLIV
    C 6,60,000 5,760 CCCLXI
    D 6,60,000 6,100 CCCLIX
    Solution
    The number 65,7345 rounded to the nearest ten thousand is 6,60,000. (As the digit at the thousands place is 7, which is greater than 5, we round it up.)
    An estimated sum can be found out as:
    5000 + 760 = 5,760
    The Roman numeral for the number 356 is CCCLVI.
  • Question 27
    1 / -0
    The sum of the place values of 5 in the greatest and the smallest 4-digit numbers formed by using the digits 3, 7, 5 and 9 (each digit to be used only once) is
    Solution
    The greatest 4-digit number formed by using the given digits is 9,753.
    Place value of 5 = 50
    The smallest 4-digit number formed by using the same digits is 3,579.
    Place value of 5 = 500
    So, sum = 500 + 50 = 550
  • Question 28
    1 / -0
    State 'T' for true and 'F' for false.

    I. The greatest 3-digit number can be written as CMXCIX.
    II. 1 million = 10 lakh
    III. The number 76,830 rounded to the nearest thousand is 77,800.
    IV. The place value of 8 in 45,86,329 is ten thousand.

    I II III IV
    A T F F T
    B F F F T
    C F T F F
    D T T F F
    Solution
    I. The greatest 3-digit number is 999 and it can be written as CMXCIX. (True)
    II. 1 million = 10 lakh (True)
    III. The number 76,830 rounded to the nearest thousand is 77,000, and not 77,800. (False)
    IV. The place value of 8 in 45,86,329 is eighty thousand, and not ten thousand. (False)
  • Question 29
    1 / -0
    If a new number is formed by interchanging the digits at the ten thousands place and the tens place of the number 54,673, then what is the relation between the new number and the original number?
    Solution
    The given number is 54,673.
    After interchanging the ten thousands digit, i.e. 5, and the tens digit, i.e. 7, of the number, we get 74,653.
    74,653 > 54,673
  • Question 30
    1 / -0
    Match the columns:

    Column 1 Column 2
    I. 245 P. CCXXVI
    II. 226 Q. CXLV
    III. 145 R. CCXLV
    IV. 36 S. XXXVI
    Solution
    I - (R), II - (P), III - (Q), IV - (S) is the correct answer.

    Column 1 Column 2
    245 CCXLV
    226 CCXXVI
    145 CXLV
    36 XXXVI
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