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Ratio and Proportion Test - 17

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Ratio and Proportion Test - 17
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  • Question 1
    1 / -0
    If a 33-pound pizza is sliced in half and each half is sliced into thirds, what is the weight, in ounces, of each of the slices? (11 pound = 1616 ounces)
    Solution
    Total number of slices the pizza is cut into is =6 = 6 as each half is cut into three more slices.
    Now, weight of each pizza slice =Total weight6=3×166=8 = \dfrac { \text{Total weight}}{6} =\dfrac {3 \times 16}{6} = 8 ounches
  • Question 2
    1 / -0
    Each floor of a high rise building is fitted with 2020 doors. There are 1212 floors in each building. There are 2525 such buildings in a complex. Calculate the total number of doors fitted in the complex.
    Solution
    Number of doors on 11 floor=20=20
    Number of floors in 11 building 1212
    \therefore Number of doors in 11 building
    =20×12=240=20\times 12=240
    Number of buildings in 11 complex=25=25
    \therefore Number of doors in 2525 buildings
    =240×25=6000=240\times 25=6000
  • Question 3
    1 / -0
    What is the ratio of the shaded area to the unshaded area?

    Solution
    Total number of equal parts =10×2=20=10\times 2=20
    Number of shaded parts =14=14
    So, the number of unshaded parts =2014=6=20-14=6
    \therefore Required ratio =14:6=7:3=14:6=7:3.
  • Question 4
    1 / -0
    The ratio of (13 of Rs. 9.30)\left(\displaystyle\dfrac{1}{3}\text{ of Rs. }9.30\right) to (0.6 of Rs. 1.55)(0.6\text{ of Rs. }1.55) is ___________.
    Solution
    13\displaystyle\frac{1}{3} of Rs. 9.30=Rs.(13×9.30)=Rs.3.109.30=Rs. \left(\displaystyle\frac{1}{3}\times 9.30\right)=Rs. 3.10
    0.60.6 of Rs. 1.55=1.55=Rs. (0.6×1.55)=(0.6\times 1.55)= Rs. 0.930.93
    \therefore Required ratio=3.10:0.93=10:3=3.10:0.93=10:3.
  • Question 5
    1 / -0
    In the word COMPARISON, the ratio of number of consonants to the number of vowels is ___________.
    Solution
    Number of consonants in the given word =6=6
    Number of vowels in the given word =4=4
    \therefore Required ratio =6:4=6:4.
  • Question 6
    1 / -0
    Out of 3030 students in a class, 66 like football, 1212 like cricket and remaining like tennis. The ratio of number of students who like tennis to the total number of students, is:
    Solution
    Total number of students=30=30
    Number of students who like football=6=6
    Number of students who like cricket=12=12
    \therefore Number of students who like tennis =30612=12=30-6-12=12
    \therefore Required ratio =12:30=2:5=12:30=2:5.
  • Question 7
    1 / -0
    Cost of a candy is 5050 paise and cost of an ice cream is Rs. 2020, then the ratio of the cost of a candy to the cost of an ice-cream is __________.
    Solution
    Cost of 11 candy =50=50 paise
    Cost of 11 ice-cream =Rs.20=20×100=Rs. 20=20\times 100 paise
    =2000=2000 paise
    \therefore Required ratio =50:2000=1:40=50:2000=1:40.
  • Question 8
    1 / -0
    Select the ratio that is equivalent to 12:1412:14
    Solution
    Given ratio is 12:1412:14
    It can be rewritten as 1214=6×27×2\dfrac{12}{14}=\dfrac{6\times 2}{7\times 2}
    Cancelling 22 from numerator and denominator, we get
    1214=67\dfrac{12}{14}=\dfrac{6}{7} i.e 6:76:7
    Hence, the answer is 6:76:7.
  • Question 9
    1 / -0
    In a cricket coaching camp, 12001200 children are trained. Out of which 900900 are selected for various matches. Ratio of non-selected children to the total number of children is ___________.
    Solution
    Total number of children=1200=1200
    Number of selected children =900=900
    \therefore Number of non-selected children =1200900=300=1200-900=300
    \therefore Required ratio =300:1200=1:4=300:1200=1:4.
  • Question 10
    1 / -0
    A sum of Rs. 9,000 is to be distributed among A, B and C in the ratio of 4 : 5 : 6. What will be the difference between A's and C's shares?
    Solution
    Given, total money =Rs.9,000= Rs.\,9,000 

    and A:B:C=4:5:6A: B: C = 4 :5:6 

    AA's share =4(4+5+6)×9000=2400=\dfrac{4}{(4 + 5 + 6)} \times 9000 = 2400

    BB's share =5(4+5+6)×9000=3000=\dfrac{5}{(4 + 5 + 6)} \times 9000 = 3000

    CC's share =6(4+5+6)×9000=3600=\dfrac{6}{(4 + 5 + 6)}\times 9000=3600

    Hence, the difference between AA's share and CC's share =36002400=3600-2400

                                                                                                    =1200= 1200
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