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GMAT Algebra: Logarithms — practice questions

Explore 34 free Algebra: Logarithms questions in GMAT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: Logarithms questions and exercises with answers

Showing questions 1–30 of 34.

Probability measures:Read the answer and worked solution →The probability of an IMPOSSIBLE event is:Read the answer and worked solution →If a bag has 6 cards numbered 1 to 6, and 3 of them are purple, the probability of drawing a PURPLE card is:Read the answer and worked solution →The probability of drawing any number from 2 to 10 from a standard deck of 52 cards is:Read the answer and worked solution →If you toss a fair coin and the probability of heads is 1/2, what is the probability of NOT getting heads?Read the answer and worked solution →An event is described as having 'EVEN CHANCE'. Its probability is:Read the answer and worked solution →Probability is measured on a scale from:Read the answer and worked solution →A probability of 0 means the event is:Read the answer and worked solution →As the number of trials grows, experimental probability moves:Read the answer and worked solution →The probability of an event E is written as:Read the answer and worked solution →A spinner resting on 1 to 8 gives outcomes that are:Read the answer and worked solution →A probability of 0.75 means a chance of:Read the answer and worked solution →Experimental and theoretical probability differ most when trials are:Read the answer and worked solution →Most everyday events have a probability that is:Read the answer and worked solution →Pick the probabilityRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Probability bingoRead the answer and worked solution →Probability measures:Read the answer and worked solution →The probability of an IMPOSSIBLE event is:Read the answer and worked solution →If a bag has 6 cards numbered 1 to 6, and 3 of them are purple, the probability of drawing a PURPLE card is:Read the answer and worked solution →The probability of drawing any number from 2 to 10 from a standard deck of 52 cards is:Read the answer and worked solution →If you toss a fair coin and the probability of heads is 1/2, what is the probability of NOT getting heads?Read the answer and worked solution →An event is described as having 'EVEN CHANCE'. Its probability is:Read the answer and worked solution →A probability of 0 means the event is:Read the answer and worked solution →As the number of trials grows, experimental probability moves:Read the answer and worked solution →The probability of an event E is written as:Read the answer and worked solution →A spinner resting on 1 to 8 gives outcomes that are:Read the answer and worked solution →A probability of 0.75 means a chance of:Read the answer and worked solution →Experimental and theoretical probability differ most when trials are:Read the answer and worked solution →Most everyday events have a probability that is:Read the answer and worked solution →

Worked practice questions

Probability measures:

  1. Length of an object
  2. Likelihood that an event will occur
  3. Weight of a substance
  4. Temperature
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Correct answer: B. Likelihood that an event will occur

Probability is a measurement of likelihood — how likely an event is to occur. It ranges from 0 (impossible) to 1 (certain). It's analogous to length, mass, or volume, but for uncertain events.

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The probability of an IMPOSSIBLE event is:

  1. 0
  2. 0.5
  3. 1
  4. Negative
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Correct answer: A. 0

An impossible event has probability exactly 0. Example: rolling a 7 on a standard 6-sided die. **Probability scale:** 0 (impossible) → 0.5 (equally likely / even chance) → 1 (certain).

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If a bag has 6 cards numbered 1 to 6, and 3 of them are purple, the probability of drawing a PURPLE card is:

  1. 1/6
  2. 1/3
  3. 1/2
  4. 3/6 (i.e. 1/2)
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Correct answer: D. 3/6 (i.e. 1/2)

Favourable outcomes (purple cards) = 3. Total outcomes = 6. Probability = 3/6 = 1/2. Options C and D are equivalent — both are 1/2 (option D shows the working).

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More Mathematics topics

Statistics and ProbabilityPermutations and CombinationsProbabilityArithmetic ProgressionRelations, Functions & Inverse TrigonometryStraight Lines and Conic SectionsProbability & StatisticsLinear Programming