Self Studies

Ratio And Propo...

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  • Question 1
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    Two ratios with different numbers can be considered as the same, if they are _____________ fractions.

  • Question 2
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    If 100 is divided into two parts in the ratio of 13 : 12, then the difference between those two parts is

  • Question 3
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    What are the values of A and B, respectively?

    7 : 3 = 35 : A = B : 600

  • Question 4
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    a, b, c and d are four different numbers and ab = cd. Then, how can we represent them in the proportion equation?

  • Question 5
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    What is the ratio of the shaded part in the following image?


  • Question 6
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    Three friends P, Q and R share candies in the ratio . What is the share of R, if the total number of candies is 5680?

  • Question 7
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    If x : 300 = 5 m : 10 km, then what should be the value of x?

  • Question 8
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    Which of the following ratios is equal to 17 : 7 in its simplest form?

  • Question 9
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    What is the ratio for the coloured part to the uncoloured part in the following image?


  • Question 10
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    If m : n = 5 : 4, then find (3m + n) : (m + 3n).

  • Question 11
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    ____ is a method of comparing two quantities by division.

  • Question 12
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    A car travels 100 km in 2.5 hours. How much time is required to cover 250 km with the same speed?

  • Question 13
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    In the word CHAMPIONSHIP, the ratio of number of vowels to the number of consonants is

  • Question 14
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    How can the number 1978 be divided into three parts such that 4 times the first part, 5 times the second part and 8 times the third part are equal?

  • Question 15
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    The ratio of ( of 9.60) to (0.7 of 2.50) is

  • Question 16
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    The ratio of volume of juice in carton V to volume of juice in carton C is 4 : 5. Aman drank 60 ml of juice from carton V and the ratio then became 14 : 25. How much juice was there in carton V initially?

  • Question 17
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    Cost of a certain lollipop is 60 paise and cost of a burger is Rs. 30. The ratio of cost of the lollipop to cost of the burger is

  • Question 18
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    Out of 45 employees in a firm, 20 like biking, 15 like running and the rest like walking. The ratio of number of employees who like walking to the total number of employees is

  • Question 19
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    In a cinema hall, there are 480 seats. On the premier of a movie, 360 people show up to watch the movie. Ratio of seats not filled to the total seats is

  • Question 20
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    In an interview selection process, the ratio of people selected to those who are not selected is 7 : 2. If 28 people are selected, then the number of people who are not selected is

  • Question 21
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    Marks of Sam and Robin are in the ratio of 5 : 3. If Sam has 150 more marks than Robin, then calculate the marks of Robin.

  • Question 22
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    Sam's piggy bank contains some 50 pence, 10 pence and 5 pence coins in the ratio 4 : 3 : 2. If total money in the piggy bank is 480 pence, find the total number of coins.

  • Question 23
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    Anu and Shilpa divide some artificial pearls in the ratio 7 : 5, respectively. If Shilpa's share was 70, then find the total number of pearls.

  • Question 24
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    Rs. 864 were spent to buy 12 notebooks. How many notebooks can be bought for Rs. 216?

  • Question 25
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    210 boxes of fireworks are divided between brothers Raman and Danny in the ratio 8 : 6. Find the number of firework boxes that Raman will get.

  • Question 26
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    Total income of P, Q and R is Rs. 5,43,618 altogether. Q's income is double that of P. R's income is three times that of Q. What is P's income?

  • Question 27
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    Brothers Sahib, Sahil, Ravi and Gautam have a total amount of Rs. 2,409, which they divide among each other such that

    .

    Then, Sahil's share is

  • Question 28
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    If p : q = r : s, then mp - nr : mq - ns is equal to

  • Question 29
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    Directions: Study the given information carefully and choose the correct option.

    (Note: T = true and F = false)

    (A) 15 min : 60 min = 3 min : 12 min
    (B) The ratio of 1 day to 24 hours is 1 : 1.
    (C) The first term in a ratio is called consequent.

  • Question 30
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    Directions: Match the following.

    (A) The second term of a ratio (i) Equivalent fractions
    (B) The method of comparing two numbers (ii) Consequent
    (C) Two fractions whose value is the same (iii) Ratio

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