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Decimals Test - 10

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Decimals Test - 10
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  • Question 1
    1 / -0
    If 0.153846 is approximately equal to , then the approximate value of 0.615384 is
    Solution
    Here, 0.153846 =

    Or 0.153846 x 4 = x 4

    Or 0.615384 = (Answer)

  • Question 2
    1 / -0
    Arrange the following decimal numbers in descending order:

    4.6, 0.460, 4.062, 0.4
    Solution
    Descending order means writing the numbers in decreasing order.
    So, the order is:
    4.6 > 4.062 > 0.460 > 0.4




  • Question 3
    1 / -0
    Which of the following equations is CORRECT?
    Solution
    Here,



    Therefore, option 1 is the right answer.
  • Question 4
    1 / -0
    Bhardwaj has Rs. 20 in his pocket. He buys a ball for Rs. 5 and then buys 8 chocolates. The cost of every chocolate is same (m). The amount left with him is Rs. 3.

    The equation given below can be used to find out the cost of one chocolate:
    8m + 5 + 3 = 20

    What is the cost of each chocolate?
    Solution
    Given: 8m + 5 + 3 = 20

    8m = 20 - 8
    8m = 12
    m = Rs. 1.50
  • Question 5
    1 / -0
    Subtract 189.25 from 398.30 and then double the answer by using addition.
    Solution
    Here, we have;
    398.30 - 189.25 = 209.05
    And then double by using addition,
    209.05 + 209.05 = 418.1
  • Question 6
    1 / -0
    Which of the following is the greatest decimal number up to four decimal places?
    Solution
    1.9000 is the greatest decimal number among the given ones.
  • Question 7
    1 / -0
    Find the value of 0.0036584 + 0.00025847 x 100 - 0.000896250.
    Solution
    0.0036584 + 0.00025847 x 100 - 0.000896250
    Applying BODMAS
    -> 0.00025847 x 100 = 0.025847
    -> 0.025847 + 0.0036584 = 0.0295054
    -> 0.0295054 - 0.000896250 = 0.2860915
  • Question 8
    1 / -0
    4253.685 + 235.1223 + 32 + 0.321 = _________.
    Solution
    The steps of calculation are as follows:

    4253.685 + 235.1223 + 32 + 0.321
    = 4488.8073 + 32.321
    = 4521.1283 (Answer)

  • Question 9
    1 / -0
    Which of the following statements is CORRECT?
    Solution
    Here, option 1 is the right answer as a digit immediate to the right of a decimal is at tenths place, then comes hundredths and then thousandths.

  • Question 10
    1 / -0
    Select the option which makes the given expression true.

    ?
    Solution
    Solving first part,

    =



    So, 20.4 < 35.2


  • Question 11
    1 / -0
    The sum of two numbers is 42.22. If one of them is 15.87, the other number is
    Solution
    Let the other number be x.

    x + 15.87 = 42.22

    x = 42.22 - 15.87

    x = 26.35
  • Question 12
    1 / -0
    Which of the following bars is the longest?

    Solution
    Length of bar A = 4 - 0 = 4 cm

    Length of bar B = 5.0 - 0.5 = 4.5 cm

    Length of bar C = 4 - 1 = 3 cm

    Length of bar D = 3.5 - 0 = 3.5 cm

    Thus, bar B is the longest one.
  • Question 13
    1 / -0
    What is the value of (12.123 + 12.2 + 12.34) rounded to the nearest tenth?
    Solution
    12.123 + 12.2 + 12.34 = 36.663

    To round the number to the nearest tenth, we look at the digit at the hundredths place.

    Now, since the digit at the hundredths place is 6, the tenths place digit would be rounded up to 7.

    So, the answer is 36.7.
  • Question 14
    1 / -0
    If 0.45 of a number is 1350, what is of the number?
    Solution
    Let the number be x.

    According to the question,

    0.45 of x = 1350

    x =

    x = 3000

    Now,
  • Question 15
    1 / -0
    The fractional number corresponding to the number '5 tens + 8 ones + 4 tenths + 8 hundredths' is
    Solution
    5 tens + 8 ones + 4 tenths + 8 hundredths

    = 5 x 10 + 8 x 1 ++

    = 50 + 8 ++

    = 58 + +

    =

    =
  • Question 16
    1 / -0
    In which figure does the shaded part represent 0.4?
    Solution
    Here, total number of parts = 5

    Number of shaded parts = 2

    Fraction =

  • Question 17
    1 / -0
    5 + (2 x 0.001) + (4 x 0.1) + (8 x 0.01) = ____________
    Solution
    5 + (2 x 0.001) + (4 x 0.1) + (8 x 0.01)

    =

    =

    =

    = 5.482
  • Question 18
    1 / -0
    What is the decimal fraction shown by the shaded parts of the figure given below?

    Solution
    Total number of parts = 10

    Number of shaded parts = 3

    Fraction of shaded parts = = 0.3
  • Question 19
    1 / -0
    Which of the following numbers is equal to?
    Solution


    =

    = 4 x 10 +

    = 40 +

    =

    =

    = 40.3
  • Question 20
    1 / -0
    The decimal form of is
    Solution


    =

    =

    =

    = 24.39
  • Question 21
    1 / -0
    Kiran buys three different pieces of cloth having different lengths. The lengths are 12 m 25 cm, 9 m 12 cm, 65 m 12 cm. The total length of all the pieces of cloth is
    Solution
    Three different lengths:

    12 m 25 cm == (12 + 0.25) m = 12.25 m

    9 m 12 cm == (9 + 0.12) m
    = 9.12 m

    65 m 12 cm =
    = (65 + 0.12) m

    = 65.12 m

    Total length = 12.25 + 9.12 + 65.12 = 86.49 m
  • Question 22
    1 / -0
    Rohan had Rs. 815.75 with him and he bought books worth Rs. 215.50. How much money would be left with him?
    Solution
    Total money = Rs. 815.75

    Money spent = Rs. 215.50

    Money left = 815.75 - 215.50

    = Rs. 600.25
  • Question 23
    1 / -0
    Bob went to work using two different means of travel. He travelled 4 km and 15 m by auto, and 8 km and 45 m by bus. Find the total distance travelled in km.
    Solution
    Distance covered by auto = 4 km and 15 m

    = 4 + (15 ÷ 1000) km

    = (4 + 0.015) km

    = 4.015 km

    Distance covered by bus = 8 km and 45 m

    = 8 + (45 ÷ 1000) km

    = (8 + 0.045) km

    = 8.045 km

    Total distance covered = 4.015 + 8.045

    = 12.06 km
  • Question 24
    1 / -0
    Kunal had Rs. 200 with him. He gave Rs. 14.45 to two of his friends each, Rs. 21.45 to three of his friends each, and Rs. 18.34 to another two of his friends each. Find the total amount of money left with him.
    Solution
    Amount had initially Rs. 200.

    According to the question,

    Amount given = (14.45 x 2) + (21.45 x 3) + (18.34 x 2)

    = 28.9 + 64.35 + 36.68

    = Rs. 129.93

    Amount left = Rs. 200 - Rs. 129.93 = Rs. 70.07
  • Question 25
    1 / -0
    A college purchases books for the library. The cost of 65 books is Rs. 4865.35. Find the cost of one such book.
    Solution
    Cost of 65 books = Rs. 4865.35

    Cost of 1 book = Rs. (4865.35 ÷ 65)

    = Rs. 74.85
  • Question 26
    1 / -0
    Fill in the blanks.

    (i) 21 hundredths = 2 tenths + _____ hundredths

    (ii) 34.999 rounded to the nearest tenth is equal to ______.

    (iii) The fractionis equal to ______.
    Solution
    (i) 21 hundredths == 0.21 = 2 tenths + 1 hundredths

    (ii) If we look at the hundredths place value column, it is 9, which is more than 5; thus, the digit at the tenths columns will round up and 9 will become 0. Thus, the answer is 35.000 or 35.

    (iii)= =
    == 12.23
  • Question 27
    1 / -0
    State 'T' for true and 'F' for false.

    (i) The decimal representation ofis 0.13.

    (ii) 0.6 is the same as 0.60.

    (iii) is greater than 0.3.
    Solution
    (i) means 13 tenths and since 10 has one zero, so the number 13 will move to the right by 1 place. Thus, it is the same as 1.3.

    (ii) Zeros after the decimal point do not matter. Thus, 0.6 and 0.60 are same.

    (iii) can be written asor two tenths.
    2 tenths = 0.2, which is smaller than 0.3.
  • Question 28
    1 / -0
    Match the following:

    Column I Column II
    (i) 12.45 + 1.22 + 15.4 (a) 2.58
    (ii) (15.65 + 45.77) - 12.22 (b) 29.07
    (iii) 17.12 - 5.55 - 8.99 (c) 65.8
    (iv) 35.56 + (87.11 - 56.87) (d) 49.2
    Solution
    (i) 12.45 + 1.22 + 15.4 = 13.67 + 15.4 = 29.07

    (ii) (15.65+45.77) - 12.22 = 61.42 - 12.22 = 49.2

    (iii) 17.12 - 5.55 - 8.99 = 11.57 - 8.99 = 2.58

    (iv) 35.56 + (87.11 - 56.87) = 35.56 + 30.24 = 65.8
  • Question 29
    1 / -0
    Select the INCORRECT statement.

    (a) Anil has Rs. 50 with him. He spends Rs. 18.65 on toys. He is now left with Rs. 31.35.
    (b) A person walks 345 m on Monday, 234 m on Tuesday and 515 m on Wednesday. He walks 1.094 km altogether.
    (c) A person has Rs. 500.50 with him. He gives Rs. 125.25 to his son and Rs. 315.50 to his daughter. He is left with Rs. 59.75.
    (d) There is a 1 litre bottle. A boy pours 513.57 ml of lemon juice in it and 405.43 ml of orange juice. He is able to fill the bottle completely.
    Solution
    (a)Money he has = Rs. 50
    Money spent = Rs. 18.65
    Money left = Rs. (50 - 18.65) = Rs. 31.35

    (b) Total distance travelled = (345 + 234 + 515) m = 1094 m = (1094 ÷ 1000) km = 1.094 km

    (c) Money he has = Rs. 500.50
    Money given to son = Rs. 125.25
    Money given to daughter = Rs. 315.50
    Total money given = Rs. (125.25 + 315.50) = Rs. 440.75
    Money left = 500.50 - 440.75 = Rs. 59.75

    (d) Amount of lemon juice= 513.57 ml
    Amount of orange juice = 405.43 ml
    Total = 919 ml or 0.919 l (1 l = 1000 ml)
    So, he hasn't filled the bottle completely. This statement is INCORRECT.
  • Question 30
    1 / -0
    Study the following statements carefully and choose the correct option.

    Statement 1: (4.25 + 6.78 + 1.22) > (9.55 - 1.23 + 6.89)
    Statement 2: The product of two decimal numbers is same even if the order is reversed.
    Solution
    For statement 1:

    4.25 + 6.78 + 1.22 = 12.25

    9.55 - 1.23 + 6.89 = 15.21

    12.25 < 15.21

    So, statement 1 is false.

    Statement 2 is true. It is called distributive property of decimals.
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