Preference
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Equation and Inequality

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Question: The average cost of 5 apples and 4 mangoes is 36 taka. The average cost of 7 apples and 8 mangoes is 48 taka. Find the total cost of 24 apples and 24 mangoes.

  1. a.
    1044
  2. b.
    2088
  3. c.
    720
  4. d.
    324
  5. e.
    None of these
Answer: b

Question: If 2x - 4 < 4, then--

  1. a.
    x > 2
  2. b.
    x < 2
  3. c.
    2 < x < 4
  4. d.
    x < 4
  5. e.
    2 > x > 4
Answer: d

Question:

Which of he following is not equivalent to 25x2 = y2 - 4

  1. a.

    75x2 = 3y2 - 12

  2. b.

    25x2 = (y + 2)(y - 2)

  3. c.

    5x = y - 2

  4. d.

    x2 = (y2 - 4)/25

Answer: c

Question: If x ≥ 10 and y ≤ 7, which of the following must be true?

  1. a.
    x + y ≥ 3
  2. b.
    x + y ≤ 7
  3. c.
    x - y ≤ 3
  4. d.
    x - y ≤ 10
  5. e.
    None of these
Answer: c

Question: A 40 meters long rope is divided into two parts and the one part is 18 meters more than the other one. What is the smaller part?

  1. a.
    5 meters
  2. b.
    6 meters
  3. c.
    7 meters
  4. d.
    11 meters
Answer: d

Question: If 3 - 2x ≤ 7, then--

  1. a.
    x ≤ 2
  2. b.
    x ≤ -2
  3. c.
    x ≥ 2
  4. d.
    x ≥ -2
  5. e.
    x > -2
Answer: d

Question: Ms. Nazma wants to buy a television at an electronics store. All television at the store are 3/4 of the original price, 'p'. She has a Tk.40 discount coupon she will use during the sale. Which equation should Ms. Nazma use to find the final price, 'f' of a television?

  1. a.
    f = 3/4 (p - 40)
  2. b.
    f = 1/4 (p - 40)
  3. c.
    f = 3/4 p - 40
  4. d.
    f = 1/4 p - 40
  5. e.
    None
Answer: c

Question: 2/(a - b) - 5/(b - a) =?

  1. a.
    -10/(2ab -a - b)
  2. b.
    -3/(a - b)
  3. c.
    -7/(a - b)
  4. d.
    -7/(b - a)
  5. e.
    -3/(b - a)
Answer: d

Question: If C/5 = R/4 = (F - 32)/9, then what will be the value of C and R if F = 140?

  1. a.
    C = 0, R = 0
  2. b.
    C = 60, R = 48
  3. c.
    C = 80, R = 100
  4. d.
    C = 140, R = 140
Answer: b

Question: A certain sum of money consists of 30 coins, some of which are 10 paisa coins and the rest are 5 paisa coins. If the total value of the coins is Tk.2, what is the number of 10 paisa coins?

  1. a.
    10
  2. b.
    15
  3. c.
    12
  4. d.
    8
  5. e.
    None of these
Answer: a

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