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A typical question that appears in the GMAT quant section from Linear Equations in algebra is a word problem. You are expected to translate what is given in words in the question into mathematical expressions and equations and solve them to arrive at the answer. As part of the data sufficiency variant, you may be tested on your understanding of the different types of solutions (unique solution, no solution, infinite solution) possible for a system of linear equations.

A collection of GMAT practice questions from equations, linear equations in algebra is given below. Attempt these questions and check whether you have got the correct answer. If you could not, go to the explanatory answer or the video explanations (wherever provided) to learn how to crack the question.

  1. A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totalled up to 200. However, when the number of legs was counted, the number totalled up to 540. How many more chickens were there in the farm? Note: Each pig had 4 legs and each chicken had 2 legs.

    1. 70
    2. 120
    3. 60
    4. 130
    5. 80
    • Correct AnswerChoice (C).
      The farm had 60 more chickens.
      Correct answer
    • Explanatory Answer
    • Word Problem in Algebra
    • Easy
  2. Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?

    1. 12 years
    2. 6 years
    3. 3 years
    4. 9 years
    5. 27 years
    • Correct AnswerChoice (D).
      Three years from now, the son will be 9 years old.
      Correct answer
    • Explanatory Answer
    • Word Problem in Algebra
    • Easy
  3. For what values of 'k' will the pair of equations 3x + 4y = 12 and kx + 12y = 30 NOT have a unique solution?

    1. 12
    2. 9
    3. 3
    4. 7.5
    5. 2.5
    • Correct AnswerChoice (B).
      The system of equations will NOT have a unique solution when 'k' = 9. It will have NO solution.
      Correct answer
    • Explanatory Answer
    • Types of solution
    • Easy
  4. The basic one-way air fare for a child aged between 3 and 10 years costs half the regular fare for an adult plus a reservation charge that is the same on the child's ticket as on the adult's ticket. One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult?

    1. $111
    2. $52.5
    3. $210
    4. $58.5
    5. $6
    • Correct AnswerChoice (C).
      The basic fare for the journey for an adult is $210.
      Correct answer
    • Explanatory Answer
    • Word Problem in Algebra
    • Medium
  5. Data Sufficiency : Is y = 3?

    (1)    (y - 3)(x - 4) = 0
    (2)    (x - 4) = 0
    • Correct AnswerChoice (E).
      Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
      Correct answer
    • Explanatory Answer
    • Solution to equations
    • Medium
  6. A children's gift store sells gift certificates in denominations of $3 and $5. The store sold 'm' $3 certificates and 'n' $5 certificates worth $93 on a Saturday afternoon. If 'm' and 'n' are natural numbers, how many different values can 'm' take?

    1. 5
    2. 7
    3. 6
    4. 31
    5. 18
    • Correct AnswerChoice (C).
      'm' can take 6 different values.
      Correct answer
    • Explanatory Answer
    • Counting methods
    • Medium
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