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NMAT Algebra — practice questions — page 3

Explore 104 free Algebra questions in NMAT 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 61–90 of 104.

Gauss found the sum of the whole numbers from 1 to 100 to be:Read the answer and worked solution →The sum of the first n terms of a progression can be written as n by 2 times:Read the answer and worked solution →The sum of the first 22 terms of the list 8, 3, minus 2 is:Read the answer and worked solution →If the last term of a finite progression is l, the sum of all its terms is n by 2 times:Read the answer and worked solution →The sum of the first 1000 positive integers is:Read the answer and worked solution →If a, b and c are in a progression, then b equals:Read the answer and worked solution →A well costs 150 rupees for the first metre and rises by 50 for each further metre. The cost for the fourth metre is:Read the answer and worked solution →Catch the progressionsRead the answer and worked solution →Pop the progression wordsRead the answer and worked solution →Run the progression gatesRead the answer and worked solution →Slice the progression wordsRead the answer and worked solution →Progression or notRead the answer and worked solution →Sort term, sum and meanRead the answer and worked solution →Type the numberRead the answer and worked solution →Progressions bingoRead the answer and worked solution →The largest positive integer that divides both of two numbers is their:Read the answer and worked solution →The algorithm that finds that largest common divisor by repeated division is named after:Read the answer and worked solution →Using that algorithm on 455 and 42, the first step gives 455 = 42 times 10 plus:Read the answer and worked solution →Continuing, 42 = 35 times 1 plus 7, then 35 = 7 times 5 plus 0. The largest common divisor is:Read the answer and worked solution →The theorem saying every composite number can be written as a product of primes is the:Read the answer and worked solution →Writing 20 as 2 times 2 times 5 is an example of:Read the answer and worked solution →The highest common factor of 6 and 20 is:Read the answer and worked solution →The lowest common multiple of 6 and 20 is:Read the answer and worked solution →The highest common factor is found by taking, for each common prime, the:Read the answer and worked solution →The lowest common multiple is found by taking, for each prime involved, the:Read the answer and worked solution →For any two positive integers, the product of their highest common factor and lowest common multiple equals:Read the answer and worked solution →The prime factorisation of 96 gives a highest common factor with 404 of:Read the answer and worked solution →Using that result, the lowest common multiple of 96 and 404 is:Read the answer and worked solution →The highest common factor of 6, 72 and 120 is:Read the answer and worked solution →The lowest common multiple of 6, 72 and 120 is:Read the answer and worked solution →

Worked practice questions

Gauss found the sum of the whole numbers from 1 to 100 to be:

  1. 5050
  2. 5500
  3. 1000
  4. 10000
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Correct answer: A. 5050

1. He paired the list with its reverse. 2. That gives 100 pairs each summing to 101. 3. The sum is 5050. _Source: syllabus Mathematics, Chapter 5, Arithmetic Progressions._

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The sum of the first n terms of a progression can be written as n by 2 times:

  1. 2a times (n minus 1) d
  2. 2a plus (n minus 1) d
  3. 2a plus (n plus 1) d
  4. 2a minus (n plus 1) d
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Correct answer: B. 2a plus (n minus 1) d

1. The first term appears twice in the bracket. 2. The rest of the bracket counts the steps. 3. It is 2a plus (n minus 1) d. _Source: syllabus Mathematics, Chapter 5, Arithmetic Progressions._

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The sum of the first 22 terms of the list 8, 3, minus 2 is:

  1. Plus 979
  2. Minus 1079
  3. Minus 979
  4. Minus 879
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Correct answer: C. Minus 979

1. The first term is 8 and the difference is minus 5. 2. Apply the sum formula for 22 terms. 3. The sum is minus 979. _Source: syllabus Mathematics, Chapter 5, Arithmetic Progressions._

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