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Ratio, Proportion and Partnership

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Question: A room has a floor area of 150 sq. feet. If the length & breadth of the room are in the ratio 3 : 2, then what is the length of the floor in feet?

  1. a.
    20
  2. b.
    9
  3. c.
    10
  4. d.
    15
  5. e.
    None of these
Answer: d

Question: If there are 300 calories in 100 grams of a certain food, how many calories are there in a 30 gram portion of that food?

  1. a.
    90
  2. b.
    100
  3. c.
    900
  4. d.
    1000
  5. e.
    None of these
Answer: a

Question: A certain 90-miles trip took 2 hours. Exactly 1/3 rd of the distance was traveled by rail and this part of the trip took 1/5 th of the travel time. What was the average rate in miles per hour of the rail promotion trip?

  1. a.
    45 mph
  2. b.
    60 mph
  3. c.
    75 mph
  4. d.
    12 mph
  5. e.
    30 mph
Answer: Answer not available.

Question: Let A, B and C shares profit at the ratio of 2 : 3 : 7 and A and B together get Tk.1500 less than C gets. How much A will get:

  1. a.
    2000
  2. b.
    1200
  3. c.
    1500
  4. d.
    750
Answer: c

Question: In a 500m race, the ratio of the speeds of two comtestants A and B is 3 : 4. A has start of 140m. Then A wins by:

  1. a.
    60m
  2. b.
    40m
  3. c.
    20m
  4. d.
    10m
Answer: c

Question: Two-fifths of the socks in box are red, one-third is blue and the rest are green. What is the ratio of the green socks to the blue socks?

  1. a.
    4 : 5
  2. b.
    5 : 6
  3. c.
    6 : 7
  4. d.
    7 : 8
  5. e.
    None of these
Answer: a

Question: 35% of Tahia's income is equal to 25% of Noria's income. The ratio of their income is--

  1. a.
    7 : 5
  2. b.
    4 : 3
  3. c.
    4 : 7
  4. d.
    5 : 7
  5. e.
    3 : 4
Answer: d

Question: Jahirul and Jalil agree to form a partnership. The partnership agreement requires that Jahirul invests Tk.7000.00 less than one half of what Jalil invests. If the total investment is Tk.125000.00, how much does Jolil invest?

  1. a.
    Tk.163200
  2. b.
    Tk.258000
  3. c.
    Tk.78666.67
  4. d.
    Tk.46333.33
  5. e.
    None of these
Answer: e

Question: A person buys some pens and pencils. The pen costs Tk.7 ech and pencil costs Tk.3 each. If he spends exactly Tk.81 and buys the maximum numbers of pen possible under these conditions, what is the ratio of pen to pencil?

  1. a.
    3 : 2
  2. b.
    2 : 3
  3. c.
    4 : 3
  4. d.
    5 : 3
  5. e.
    None
Answer: a

Question: If 36 students in a class are female and the ratio of female students to male students is 9 : 11, what percentage of the class is female?

  1. a.
    25%
  2. b.
    33.33%
  3. c.
    45%
  4. d.
    66.66%
  5. e.
    None of these
Answer: c

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