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Knowing Our Numbers Test - 12

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Knowing Our Numbers Test - 12
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  • Question 1
    1 / -0
    Directions: Find the value of the given number after rounding to the nearest thousand.

    4,526 + 7,125
    Solution
    4,526 + 7,125 = 11,651
    For rounding to the nearest 1,000, we need to look at the hundreds column.
    If the hundreds column is 5 or more, the number will be rounded up to the nearest multiple of 1,000 and if the hundreds column is less than 5, then the number will be rounded down to the nearest multiple of 1,000.
    Hence, after rounding to the nearest 1,000, we get 12,000.
  • Question 2
    1 / -0
    Directions: Find the sum of the place values of the 8's in the given number.

    45,812,871
    Solution
    The place value of the number 8 in the hundreds column will be 800 and in the hundred thousands column will be 8,00,000.
    Sum = 8,00,000 + 800 = 8,00,800
  • Question 3
    1 / -0
    Directions: Find the correct expanded form of the given number.

    Twenty nine million, sixty four thousand, four hundred and ninety six
    Solution
    Twenty nine million, sixty four thousand, four hundred and ninety six
    = 29,000,000 + 60,000 + 4,000 + 400 + 90 + 6 = 29,064,496
  • Question 4
    1 / -0
    When a Roman numeral of bigger value is put before a number of smaller value, it gets
    Solution
    It is a general rule of writing Roman numeral and stated as when a Roman numeral of bigger value is put before (or to the left) a number of smaller value, it gets added. For example -
    1. VI = 5 + 1 = 6
    2. CXX = 100 + 10 + 10 = 120
    3. MCL = 1000 + 100 + 50 = 1150
  • Question 5
    1 / -0
    What will be the sum of the smallest 7-digit number and the greatest 5-digit number?
    Solution
    The smallest 7-digit number = 1,000,000
    The greatest 5-digit number = 99,999
    Sum = 1,000,000 + 99,999 = 1,099,999
  • Question 6
    1 / -0
    What is the smallest and the largest 6-digit number formed using 9, 4 and 7, using each digit maximum 2 times?
    Solution
    Largest 6-digit number formed by using 9, 4 and 7 = 9,97,744
    Smallest 6-digit number formed by using 9, 4 and 7 = 4,47,799
  • Question 7
    1 / -0
    The numerical value that a digit has by virtue of its position in a number signifies its
    Solution
    Place value is defined as the numerical value that a digit has by virtue of its position in a number. The lowest place value is the rightmost position, and each successive position to the left has a higher place value.

    Example: The place value of 7 in 730 is 700.
  • Question 8
    1 / -0
    A plastic carton can bear a weight up to 150 kg. How many ball bearings can be kept inside the carton, if each weighs 1.2 kg?
    Solution
    Weight of each bearing = 1.20 kg
    Capacity of carton = 150 kg
    Number of ball bearings that can be put in carton == 125
  • Question 9
    1 / -0
    The number 9,84,32,701 can be written in the Indian system as:
    Solution
    The number 9,84,32,701 can be written in the Indian system as 'nine crore eighty-four lakh thirty-two thousand seven hundred and one'.
  • Question 10
    1 / -0
    The sum of the smallest 4-digit number and the biggest 3-digit number in Roman numerals is
    Solution
    The smallest 4-digit number = 1,000
    The biggest 3-digit number = 999
    Sum = 1,000 + 999 = 1,999
    In Roman numerals, 1,999 will be written as MCMXCIX.
  • Question 11
    1 / -0
    A content team makes 6,523 questions a day. Which of the following is the best estimate?
    Solution
    We are going to round it to the nearest 100. We need to look at the tens column, if it is 5 or above, we are going to round up and if it is 4 or less, we are going to round down.
    Rounded to the nearest 100, we will get 6,500 as the answer.
  • Question 12
    1 / -0
    'Forty-five crore eighty-three lakh two thousand eight hundred and five' in numerals is written as
    Solution
    Forty-five crore eighty-three lakh two thousand eight hundred and five = 45,83,02,805
  • Question 13
    1 / -0
    Directions: Identify the place value of the underlined digit in the number given below.

    4, 52, 782
    Solution
    4, 52, 782 = The place value of 2 is thousands

  • Question 14
    1 / -0
    Place value of a digit decreases by ____ times, if it moves two places towards right.
    Solution
    The place value of the digit decreases when we move along right. So, it will be, but here it is moving by two, so it will be times.

  • Question 15
    1 / -0
    Directions: Arrange the following Roman numerals in descending order.

    MDCC, MD, MDC
    Solution
    Descending order means biggest to smallest.
    Each time the number is decreasing by the value of 100.
    MDCC - 1,700
    MDC - 1,600
    MD - 1,500
    So, MDCC, MDC, MD is the required sequence.
  • Question 16
    1 / -0
    Billion period consists of the places ______.
    Solution
    Billion unit is a part of International Number System which contains 3 digits and is separated by a comma after 3 digits (of million period) from the right. The symbols for billion period are mentioned below.
    B = Billion
    TB = Ten billion
    HB = Hundred billion

    For example - 345,000,000,000 can be written as three hundred forty five billion.

  • Question 17
    1 / -0
    Shaveta's dog is 11 years old and Kriti's kitten is 3 years old. What is the product of their ages in roman numerals?
    Solution
    Shaveta's dog is 11 years old.
    Kriti's kitten is 3 years old.
    Product of their ages = 11 x 3 = 33
    In roman numerals, XXXIII = 33

  • Question 18
    1 / -0
    Directions: Choose the correct number name in Indian system for the given number.

    500405000
    Solution
    50,04,05,000 = Fifty crore four lakh and five thousand
  • Question 19
    1 / -0
    Directions: Find the sum of the numbers given below and round the resultant number to the nearest thousand.

    1,564 + 9,457
    Solution
    1,564 + 9,457 = 11,021
    As we are going to round it to the nearest thousand, and it less than 5 in the hundreds column, so it will be rounded down.
    So, the answer will be 11,000.
  • Question 20
    1 / -0
    Directions: Choose the difference between the face value and the place value of the underlined digit.

    78,452
    Solution
    78,452
    Face value is the actual value of the given digit i.e 8.
    The place value of 8 is 8,000.
    The difference is 8,000 - 8 = 7,992

  • Question 21
    1 / -0
    The bacterial growth in a dirty area is 4,53,78,967. After cleaning, it becomes 54,53,734. Find the number of bacteria that were killed.
    Solution
    Number of bacteria that were killed = 4,53,78,967 - 54,53,734 = 3,99,25,233
  • Question 22
    1 / -0
    4,53,578 toys were made in a day in a factory and 4,357 were sold from the factory outlet. The next day, 758 more toys were made and 8,427 were sold. What is the number of toys left in the factory?
    Solution
    Number of toys initially = 4,53,578 - 4,357 = 4,49,221
    Number of toys on the second day = 4,49,221 + 758 = 44,9,979
    Number of toys after selling toys on the second day = 4,49,979 - 8,427 = 4,41,552

  • Question 23
    1 / -0
    The total distance Ram covers in a week while going to his office is 156 km. He has a weekly off on Sunday. Find the distance (in km) he has to travel daily.
    Solution
    Ram goes to office 6 days in a week.
    So, = 26 km
    The distance he has to travel daily = 26 km

  • Question 24
    1 / -0
    Total number of questions made in a content company per day is 1,125. Assume that the company workers had to work all days, excluding 4 Sundays in each month. What is the total number of questions made in the months of March, April and July altogether? (Assume that all the given months have 4 Sundays)
    Solution
    Number of questions in a day = 1,125
    In the month of March = 31 - 4 = 27 working days = 27 x 1,125 = 30,375
    In the month of April = 30 - 4 = 26 x 1,125 = 29,250
    In the month of July = 31 - 4 = 27 x 1,125 = 30,375
    Total = 2 x 30,375 + 29,250 = 90,000

  • Question 25
    1 / -0
    Rakesh did a multiplication sum of 253 17 and got the answer. He suddenly realised that the question given by teacher was 253 71. So, what will be the difference between his answer and the required answer?
    Solution
    Answer given by Rakesh = 253 17 = 4301
    Actual result = 253 71 = 17963
    Required difference = 17963 - 4301 = 13662

  • Question 26
    1 / -0
    Directions: The below question consists of 3 statements with some blanks. Choose the correct answer for the blanks by referring to the codes given in table.

    (i) The number 456,785 nearest ten thousand is rounded off to P .
    (ii) Estimated product of 5023 and 218 is Q .
    (iii) MMXVIII is written in the Hindu-Arabic numeral as R .

    p Q R
    A 450,000 900,000 2,016
    B 460,000 1,000,000 2,018
    C 440,000 1,110,000 2,017
    D 455,000 1,105,000 2,019
    Solution
    (I) 456,785 when rounded to nearest ten thousand is 460,000 as 6 in the thousand is greater than 5.
    (II) 5,023 is rounded to 5,000 and 218 is rounded to 200. The product is 1,000,000.
    (III) M = 1000
    X = 10
    V = 5
    I = 1
    Together, we get = 2018
    So, option (2) is the right answer.
  • Question 27
    1 / -0
    The difference in the place values of 6 between the greatest and the smallest 4-digit numbers formed by using the digits 6, 7, 8 and 9 each only once is
    Solution
    The greatest number = 9,876
    Place value of 6 = 6
    The smallest number = 6,789
    Place value of 6 = 6,000
    Difference = 6000 - 6 = 5994

  • Question 28
    1 / -0
    Directions: State 'T for true and 'F' for false.

    I. Rounding 4,560 to the nearest thousand, we get 4,000.
    II. Place value of 4 in 5,45,67,537 is four crore.
    III. 1 lakh = 100 thousand
    IV. Roman numeral for the largest two digit number is L.

    I II III IV
    A F F T F
    B F T F F
    C F T F T
    D T F F T
    Solution
    (1) Rounding 4,560 to the nearest thousand, we get 4,000. It is false as its value will be 5000. (False)
    (2) Place value of 4 in 5,45,67,537 is five crore. It is false as its place value is 40 lakh. (False)
    (3) 1 lakh = 100 thousand. (True)
    (4) Roman numeral for the largest two digit number is L. It is false as largest 2 two digit number is 99 and roman numeral is XCIX. (False)
  • Question 29
    1 / -0
    If a new number is formed by interchanging the tens and thousands place digits of 12,345, then what is the relation between them?

    (A) New number is greater than the original number.
    (B) New number is smaller than the original number.
    (C) New number is equal to the original number.
    (D) Cannot be determined
    Solution
    In 12,345, we have 2 in thousands and 4 in tens.
    So, after interchanging the digits, new number = 14,325
    It is greater than the original number.
    14,325 > 12,345

  • Question 30
    1 / -0
    Directions: Choose the correct answer from the codes given.

    Column I Column II
    (i) 1000 hundreds P 1 milllion
    (ii) 10 lakh Q 1 lakh
    (iii) 10,000 thousands R 1 billion
    (iv) 100 crore S 10 million

    Solution
    1000 hundreds = 1 lakh
    10 lakh = 1 milllion
    10,000 thousand = 10 million
    100 crore = 1 billion

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