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XAT Algebra — practice questions — page 2

Explore 73 free Algebra questions in XAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra questions and exercises with answers

Showing questions 31–60 of 73.

An event whose probability is 0 is called:Read the answer and worked solution →The probability of getting a number less than 7 in a single throw of a die is:Read the answer and worked solution →For any event E, the value of P(E) always lies between:Read the answer and worked solution →A standard deck has 52 cards divided into how many suits?Read the answer and worked solution →Drawing one card from a well-shuffled deck of 52, the probability it is an ace is:Read the answer and worked solution →Kings, queens and jacks in a deck are together called:Read the answer and worked solution →If the probability of Sangeeta winning a tennis match is 0.62, the probability Reshma wins is:Read the answer and worked solution →Ignoring a leap year, the probability that two friends have different birthdays is:Read the answer and worked solution →Catch the equally likely casesRead the answer and worked solution →Pop the probability wordsRead the answer and worked solution →Run the probability valuesRead the answer and worked solution →Slice the probability wordsRead the answer and worked solution →Impossible or certainRead the answer and worked solution →Sort empirical, theory and cardsRead the answer and worked solution →Type the numberRead the answer and worked solution →Probability bingoRead the answer and worked solution →Two expressions joined by a less-than or greater-than sign form an:Read the answer and worked solution →Statements such as 3 less than 5 and 7 greater than 5 are examples of:Read the answer and worked solution →Statements such as x less than 5 and y greater than 2 are examples of:Read the answer and worked solution →A statement like 3 less than x less than 5 is called a:Read the answer and worked solution →Inequalities using only the strict signs, without an equals part, are called:Read the answer and worked solution →Inequalities that also allow equality are called:Read the answer and worked solution →Adding the same number to both sides of an inequality:Read the answer and worked solution →Multiplying both sides of an inequality by the same positive number:Read the answer and worked solution →Multiplying or dividing both sides by a negative number means the sign of the inequality is:Read the answer and worked solution →Solving 30x less than 200 gives x less than:Read the answer and worked solution →When x must be a natural number, the solutions of 30x less than 200 are:Read the answer and worked solution →How many natural number solutions does 30x less than 200 have?Read the answer and worked solution →When x may be any integer, the solutions of 30x less than 200 include:Read the answer and worked solution →Solving 5x minus 3 less than 3x plus 1 gives:Read the answer and worked solution →

Worked practice questions

An event whose probability is 0 is called:

  1. An impossible event
  2. A certain event now
  3. An elementary event
  4. A complementary event
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Correct answer: A. An impossible event

1. It can never occur. 2. Getting 8 on a die is an example. 3. That is an impossible event. _Source: syllabus Mathematics, Chapter 15, Probability._

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The probability of getting a number less than 7 in a single throw of a die is:

  1. 7
  2. 1
  3. 0
  4. 6
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Correct answer: B. 1

1. Every face is below 7. 2. All six outcomes are favourable. 3. So the probability is 1. _Source: syllabus Mathematics, Chapter 15, Probability._

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For any event E, the value of P(E) always lies between:

  1. 0 and 10
  2. 9 and 10
  3. 0 and 1
  4. 1 and 6
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Correct answer: C. 0 and 1

1. Favourable outcomes cannot exceed total outcomes. 2. The smallest value is 0. 3. So P(E) lies between 0 and 1. _Source: syllabus Mathematics, Chapter 15, Probability._

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