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Ratio, Proportion and Partnership

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Question: The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is:

  1. a.
    30
  2. b.
    50
  3. c.
    60
  4. d.
    90
Answer: c

Question: If x : y = 5 : 3, then (8x – 5y) : (8x + 5y) =?

  1. a.
    3 : 12
  2. b.
    8 : 13
  3. c.
    3 : 11
  4. d.
    5 : 11
  5. e.
    5 : 13
Answer: d

Question: A jar contains 10 pencils, some sharpened and unsharpened. Each of the following could be the ratio of sharpened to unsharpened pencils except?

  1. a.
    4 : 1
  2. b.
    3 : 2
  3. c.
    1 : 1
  4. d.
    9 : 1
  5. e.
    5 : 1
Answer: e

Question: Three individuals contributed Tk.8000 each toward the purchase of a computer. If they bought the computer on sale for Tk.19500 plus 10% sales tax, how much money should be refunded to each individual?

  1. a.
    Tk.1500
  2. b.
    Tk.1950
  3. c.
    Tk.650
  4. d.
    Tk.850
  5. e.
    None of these
Answer: d

Question: The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

  1. a.
    30
  2. b.
    60
  3. c.
    80
  4. d.
    90
Answer: c

Question: A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk.30 each. If the man spends exactly Tk.810 and buys the maximum number of shirts possible under these condition, what is the ratio of shirts to ties?

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

Question: If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, what is the ratio between A to D?

  1. a.
    5 : 4
  2. b.
    13 : 4
  3. c.
    16 : 35
  4. d.
    13 : 20
  5. e.
    None of these
Answer: c

Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Tk. 40,000 the amount invested by Y is:

  1. a.
    Tk. 45,000
  2. b.
    Tk. 50,000
  3. c.
    Tk. 60,000
  4. d.
    Tk. 80,000
Answer: c

Question: A, B and C enter into partnership with investments in the ratio of 5 : 7 : 8. If at the end of the year A's share of profit is Tk.42360, ow much is the total profit?

  1. a.
    Tk.169440
  2. b.
    Tk.183000
  3. c.
    Tk.196700
  4. d.
    Tk.168440
Answer: a

Question: Saif, Noman and Morshed divided a sum of money among thenselves in the ratio 2 : 3 : 7. Find the share of Saif if the total share of Saif and Noman together is Tk.1500 less than that of Morshed.

  1. a.
    Tk.2000
  2. b.
    Tk.1200
  3. c.
    Tk.1500
  4. d.
    Tk.2500
  5. e.
    None of these
Answer: c

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