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Decimals Test - 11

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Decimals Test - 11
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Weekly Quiz Competition
  • Question 1
    1 / -0
    If 0.0833333 is approximately equal to, then the approximate value of 0.6666664 is
    Solution
    According to the information given in the question,

    0.0833333 =
    Multiplying both sides by 8, we get

    0.0833333 × 8 =× 8
    0.6666664 =

    Hence, option (1) is correct.
  • Question 2
    1 / -0
    Directions: Arrange the following decimal numbers in descending order.

    2.070, 2.790, 2.650, 2.100
    Solution
    The descending order is 2.790, 2.650, 2.100, 2.070.
    Or
    2.790 > 2.650 > 2.100 > 2.070

    Hence, option (4) is correct.
  • Question 3
    1 / -0
    Which of the following expressions is correct?
    Solution
    0.285 =is correct.
    Whereas

    1.2 > 5.6 is not correct as 1.2 < 5.6.

    234 <is not correct as 234 >.

    0.012 >is not correct as 0.012 < 0.916

    Hence, option (3) is correct.
  • Question 4
    1 / -0
    Harsh bought some groceries for his home. He spent Rs. 14.00 on biscuits. One bottle of juice cost Rs. 20. He bought 4 bottles and then he bought corn flakes. He spent Rs. 100 altogether. Find the cost of corn flakes.
    Solution
    1 bottle of juice = Rs. 20
    4 bottles of juice = Rs. 20 × 4 = Rs. 80
    Biscuits = Rs. 14
    Total money spent = Rs. 100
    => 80 + 14 + Corn flakes = Rs. 100
    => Cost of corn flakes = Rs. 100 - Rs. 94 = Rs. 6
    So, the cost of corn flakes = Rs. 6
    Hence, option (2) is correct.
  • Question 5
    1 / -0
    What will we get when we add 269.15 to 96.10 and subtract it from the product of 12 x 34?
    Solution
    Sum of the given numbers, 269.15 + 96.10 = 365.25
    Product = 12 x 34 = 408
    Thus, according to question,
    408 - 365.25 = 42.75
    Hence, option (1) is correct.
  • Question 6
    1 / -0
    Which of the following numbers is the smallest?
    Solution
    0.190 - 1 tenths and 9 hundredths

    0.099 - 0 tenths, 9 hundredths and 9 thousandths

    0.990 - 9 tenths and 9 hundredths

    0.910 - 9 tenths, 1 hundredths

    Therefore, 0.099 is the smallest among the four given numbers.
  • Question 7
    1 / -0
    What is the value of 0.007 + 0.07 + 0.700 + 7.007?
    Solution
    Sum = 0.007 + 0.07 + 0.700 + 7.007 = 7.784
  • Question 8
    1 / -0
    Directions: Solve 2.184 × 0.1 × 2.4 × 5.0
    Solution
    2.184 × 0.1 × 2.4 × 5.0 = 2.6208

    Hence, option (3) is correct.
  • Question 9
    1 / -0
    Which of the following statements is correct?
    Solution
    (i) 124 = 1 hundreds +2 tens + 4 ones
    (ii) 0.145 = 0 ones + 1 tenths + 4 hundredths + 5 thousandths
    (iii) 0.258 = 0 ones + 2 tenths + 5 hundredths + 8 thousandths
    (iv) 0.810 = 0 ones + 0 tenths + 8 hundredths + 1 thousandths
    Hence, option (2) is correct.
  • Question 10
    1 / -0
    Directions: Select the correct option which makes the given expression true.

    1.2 + 5.6 0.2 - 2.15 .......... 2.4 + 4.9 - 1.6
    Solution
    According to question,
    1.2 + 5.6 0.2 - 2.15 .......... 2.4 + 4.9 - 1.6
    => 1.2 + (5.6 0.2) - 2.15 ........... (2.4 + 4.9) - 1.6
    => 1.2 + 1.12 - 2.15 ............ 7.3 - 1.6
    => 2.32 - 2.15 ........... 5.7
    => 0.17 ........... 5.7
    => 0.17 < 5.7
    Hence, option (1) is correct.
  • Question 11
    1 / -0
    The product of two numbers is 64.736. If one of them is 11.56, find the other number.
    Solution
    Let one number = x

    Then, x 11.56 = 64.736

    x = = 5.6

    Thus, the other number is 5.6.

    Hence, option (1) is correct.
  • Question 12
    1 / -0
    The given figures show 4 bars of different lengths. What is the length of the smallest bar?


    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, the shortest bar is (C) having length 3 cm.
  • Question 13
    1 / -0
    What is the sum of 18.367 + 26.698 + 0.129 rounded to the nearest hundredths?
    Solution
    According to question,

    18.367 + 26.698 + 0.129 = 45.194

    Thus, it is rounded to 45.19 to the nearest hundredths.

    Hence, option (3) is correct.
  • Question 14
    1 / -0
    25% of a number is 216. What isof that number?
    Solution
    Let the number = x

    Thus, according to question,

    x = 216

    25x = 21600

    x = = 864

    Thus, = 518.4

    Hence, option (1) is correct.
  • Question 15
    1 / -0
    The decimal number corresponding to the number "6 hundreds + 5 tens + 6 ones + 4 tenths + 9 hundredths" is
    Solution
    6 hundreds + 5 tens + 6 ones + 4 tenths + 9 hundredths

    => (6 100) + (5 10) + (6 1) + (4 0.1) + (9 0.01)

    => 656.49

    Hence, option (1) is correct.
  • Question 16
    1 / -0
    In which of the following figures does the shaded part represent 0.25?

    Solution
    This figure A is not equally divided.
    Fraction of shaded part for figure B =

    Fraction of shaded part for figure C =

    Fraction of shaded part for figure D =

    Hence, option (4) is correct.
  • Question 17
    1 / -0
    2 + (25 x 0.01) + (38 x 0.1) + (46 x 0.001) =
    Solution
    According to question,
    2 + (25 x 0.01) + (38 x 0.1) + (46 x 0.001)
    = 2 + 0.25 + 3.8 + 0.046 = 6.096
    Hence, option (4) is correct.
  • Question 18
    1 / -0
    What is the decimal fraction shown by the shaded part of the figure given below?

    Solution
    Total parts = 25

    Shaded parts = 16
    So, fraction of shaded parts = = 0.64
    Hence, option (3) is correct.
  • Question 19
    1 / -0
    Which of the following numbers is equal to ?
    Solution
    = 0.01

    = 100

    Thus, 100 + 0.01 = 100.01

    Hence, option (1) is correct.
  • Question 20
    1 / -0
    The decimal form of 65 is
    Solution
    Converting the mixed number to fraction, we get

    =

    Hence, option (1) is correct.
  • Question 21
    1 / -0
    Meenal purchased 6 kg 400 g chocolate chips, 5 kg 250 g cream and 12 kg 900 g flour for baking a cake. The total weight of her purchases was
    Solution
    Total weight of flour in kg = 12.90 kg
    Total weight of cream in kg = 5.25 kg
    Total weight of chocolate chips = 6.40 kg
    Thus, total weight of her purchases = 24.55 kg
    Hence, option (2) is correct.
  • Question 22
    1 / -0
    Anant had Rs. 253.36. He bought chocolates for Rs. 138.30. The amount left with Anant was
    Solution
    Total amount with Anant = Rs. 253.36
    Amount spent on chocolates = Rs. 138.30
    253.36 - 138.30 = Rs. 115.06
    Thus, balance left = Rs. 115.06
    Hence, option (1) is correct.
  • Question 23
    1 / -0
    Varun travels 65 km 484 m every day. Out of this, he travels 25 km 100 m by car and the rest by city bus. Find the distance that he travels by the city bus.
    Solution
    Total distance travelled by Varun = 65.484 km
    Total distance travelled by car = 25.100 km
    Thus, total distance travelled by city bus = 65.484 km - 25.10 km = 40.384 km
    Hence, option (3) is correct.
  • Question 24
    1 / -0
    Prerna had Rs. 4,000. She bought 3 boxes of candies for Rs. 89.90 each, 4 packets of cupcakes for Rs. 12.34 each and 2 cards for Rs. 600.08 each. How much money is left with her?
    Solution
    Total money with Prerna = Rs. 4,000

    Money spent on candies = 89.90 x 3 = Rs. 269.7

    Money spent on cupcakes = 12.34 x 4 = Rs. 49.36

    Money spent on cards = 600.08 x 2 = Rs. 1,200.16

    Total money spent = Rs. 1,519.22

    Thus, money left = Rs. 4,000 - Rs. 1,519.22 = Rs. 2,480.78

    Hence, option (2) is correct.
  • Question 25
    1 / -0
    The price of 120 pencils is Rs. 2643. Find the cost of one pencil.
    Solution
    Cost of 120 pencils = Rs.2643

    Cost of 1 pencil = = Rs. 22.025

    Hence, option (4) is correct.
  • Question 26
    1 / -0
    Directions: Read the statements given below and find the value of A, B and C.

    (i) 125 hundredths = 1 ones + 2 tenths + A hundredths
    (ii) 12.69 rounded off to the first decimal place is B.
    (iii) The fraction in decimal form = C

    Options A B C
    P 5 12.7 0.625
    Q 4 12.6 0.363
    R 2 12.9 0.252
    S 5 12.0 0.151
    Solution
    (i) 125 hundredths = = 1.25 = 1 ones + 2 tenths + 5 hundredths

    (ii) 12.69 is rounded to 12.7 to the first decimal place.

    (iii) The fraction in decimal = 0.625

    Hence, option (1) is correct.
  • Question 27
    1 / -0
    Directions: State T for true and F for false for the statements given below.

    (i) 123.678 rounded to nearest hundredths is 123.68.

    (ii) Fraction cannot be represented on a number line.
    (iii) The decimal form of fraction is 0.55.
    Solution
    (i) 123.678 rounded to nearest hundredths is 123.68 - True

    (ii) Fraction cannot be represented on number line - False (Every fraction or decimal can be represented on number line)
    (iii) The decimal form of fraction is 0.55 - False (It is 0.45)
    Hence, option (1) is correct.
  • Question 28
    1 / -0
    Directions: Match the following.

    Column A Column B
    (i) 1.25 + 56.18 - 0.58 (a) 7.94
    (ii) 0.5 6.58 + 4.65 (b) 14.92
    (iii) 9.36 + 5.2 + 0.36 (c) 56.85
    (iv) 8.69 - 0.25 - 1.54 (d) 6.9
    Solution
    (i) 1.25 + 56.18 - 0.58 = 56.85
    (ii) 0.5 x 6.58 + 4.65 = 7.94
    (iii) 9.36 + 5.2 + 0.36 = 14.92
    (iv) 8.69 - 0.25 - 1.54 = 6.9
    Hence, option (1) is correct.
  • Question 29
    1 / -0
    Directions: Select the incorrect statement.

    (A) Tanya had 2045 cm long ribbon for decoration. She cut 19 m and 10 cm from it and the length of ribbon left with her is 1.35 m.
    (B) Neelam bought 680 g apples, 340 g grapes, 800 g kiwi, 150 g cherry and 450 g mangoes. The total weight of fruits she had is 2.42 kg.
    (C) Meera got Rs. 690 and spent Rs. 178.9 on fruits and Rs. 290.25 on vegetables. The amount left is Rs. 335.67.
    Solution
    (A) Tanya had 2045 cm long ribbon for decoration. She cut 19 m and 10 cm from it and the length of ribbon left with her is 1.35 m.
    => 20.45 m - 19.10 m = 1.35 m

    (B) Neelam bought 680 g apples, 340 g grapes, 800 g kiwi, 150 g cherry and 450 g mangoes. The total weight of fruits she had is 2.42 kg.
    => 0.680 + 0.340 + 0.800 + 0.150 + 0.450 = 2.42 kg

    (C) Meera got Rs. 690 and spent Rs. 178.9 on fruits and Rs. 290.25 on vegetables. The amount left is Rs. 335.67.
    => 178.9 + 290.25 = Rs. 469.15
    => 690 - 469.15 = Rs. 220.85 ≠ 335.67

    Hence, statement (C) is incorrect statement.
  • Question 30
    1 / -0
    Directions: Study the following statements carefully and choose the correct option.

    Statement (1): 0.325 + 5.21 - 1.36 < 0.36 + 1.25 - 0.15
    Statement (2): 52.12 - 0.25 + 5.12 > 69.25 + 1.35 - 18.65
    Solution
    (1) 0.325 + 5.21 - 1.36 = 4.175
    0.36 + 1.25 - 0.15 = 1.46
    Thus, 4.175 > 1.46
    Therefore, this statement is false.

    (2) 52.12 - 0.25 + 5.12 = 56.99
    69.25 + 1.35 - 18.65 = 51.95
    => 56.99 > 51.95
    => This statement is true.
    Hence, option (4) is correct.
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