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Numbers Test - 1

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Numbers Test - 1
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  • Question 1
    1 / -0

    The numbers 1627, 7612, 7126, and 2716 can be arranged in the descending order as

    Solution

    The given numbers are 1627, 7612, 7126, and 2716.

    When a set of numbers is arranged in the descending order, the numbers are written in such a manner that the greatest number is placed at the beginning of the sequence; the second greatest number is placed after that and so on.

    The given numbers can be placed in the place value table as

    Thousands Hundreds Tens Ones
    1 6 2 7
    7 6 1 2
    7 1 2 6
    2 7 1 6

    On comparing the digits of the given numbers, we can make the following observations:

    At the thousands place, we observe that 7 > 2 > 1.

    Therefore, the numbers 7612 and 7126 are greater than the numbers 2716 and 1627 and 2716 > 1627.

    In the hundreds place of the numbers 7612 and 7126, we observe that

    6 > 1

    ∴7612 > 7126

    Therefore, the given numbers can be arranged in the descending order as

    7612 > 7126 > 2716 >1627

  • Question 2
    1 / -0

    The information in which of the following alternatives is correctly matched?

    Solution

    According to the Indian System of Numeration, the first comma comes after three digits from the right. After that, a comma is placed after every two digits.

    According to the International System of Numeration, a comma is placed after every three digits from the right.

    Thus, according to the Indian System of Numeration, the number 12872345 can be written as 1,28,72,345.

    Thus, the information in alternative C is correctly matched.

  • Question 3
    1 / -0

    The estimated product of the numbers 7290 and 485 is..

    Solution

    The given numbers are 7290 and 485.

    The number 7290 can be rounded off to the nearest thousands as 7000.

    The number 485 can be rounded off to the nearest hundreds as 500.

    7000 × 500 = 3500000

    Thus, the estimated product of the numbers 7290 and 485 is 3500000.

    To check if our estimation is reasonable, we can calculate the actual product of the given numbers as

    7290 × 485 = 3535650

    The number 3535650 can be rounded off to the nearest lakhs as 3500000.

    Thus, our estimation is reasonable.

  • Question 4
    1 / -0

    The number 432986 can be approximated to the nearest ten thousands as

    Solution

    The given number is 432986.

    Here, the digit in the ten thousands place is 3.

    It is observed that 430000 < 432986 < 440000, where the number 432986 is nearer to 430000 as compared to 440000.

    Therefore, the number 432986 can be rounded off to the nearest ten thousands as 430000.

  • Question 5
    1 / -0

    The information in which alternative is incorrectly matched?

    Solution

    The number three thousand four hundred ninety can be represented in the place value table as

    Thousands Hundreds Tens Ones
    3 4 9 0

    Thus, the number three thousand four hundred ninety can be written in the numeric form as 3490.

    Hence, the information in alternative A is incorrectly matched.

  • Question 6
    1 / -0

    The number seven crore eight lakh fifty thousand nine hundred six can be written in the numeric form as

    Solution

    The given number is seven crore eight lakh fifty thousand nine hundred six.

    It can be represented in the place value table as

    Crores

    7

    Ten lakhs

    0

    Lakhs

    8

    Ten thousands

    5

    Thousands

    0

    Hundreds

    9

    Tens

    0

    Ones

    6

    Thus, the number seven crore eight lakh fifty thousand nine hundred six can be written in the numeric form as 70850906.

  • Question 7
    1 / -0

    Use the following information to answer the next question.

    The approximate air distances of Paris, London, Berlin, and Singapore from New Delhi are 6610 km, 6747 km, 5796 km, and 4145 km respectively.

    Among the given cities, which one is the farthest from New Delhi?

    Solution

    The numbers 6610, 6747, 5796, and 4145 can be represented in the place value table as

    Thousands Hundreds Tens Ones
    6 6 1 0
    6 7 4 7
    5 7 9 6
    4 1 4 5

    On comparing the digits of the given numbers, we can make the following observations:

    At the thousands place, we observe that 6 > 5 > 4.

    Therefore, the numbers 6610 and 6747 are greater than the numbers 5796 and 4145 and 5796 > 4145.

    In the hundreds place of the numbers 6610 and 6747, we observe that

    7 > 6

    ∴6747 > 6610

    Therefore, we can conclude that

    6747 > 6610 > 5796 > 4145

    ∴6747 km > 6610 km > 5796 km > 4145 km

    Hence, London is the farthest from New Delhi.

    The correct answer is B.

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