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NMAT Number System — practice questions — page 4

Explore 136 free Number System questions in NMAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Number System questions and exercises with answers

Showing questions 91–120 of 136.

With first term 6 and common difference 3, the first four terms are:Read the answer and worked solution →When the common difference is zero, as in 2, 2, 2, 2, the list is:Read the answer and worked solution →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 →

Worked practice questions

With first term 6 and common difference 3, the first four terms are:

  1. 3, 6, 9, 12
  2. 6, 12, 18, 24
  3. 6, 9, 12, 15
  4. 6, 3, 0, minus 3
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Correct answer: C. 6, 9, 12, 15

1. Start at 6. 2. Add 3 each time. 3. The terms are 6, 9, 12, 15. _Source: syllabus Mathematics, Chapter 5, Arithmetic Progressions._

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When the common difference is zero, as in 2, 2, 2, 2, the list is:

  1. Never a progression
  2. A pure fraction
  3. A prime series
  4. Still a progression
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Correct answer: D. Still a progression

1. The fixed number added is zero. 2. The difference may be positive, negative or zero. 3. It is still an arithmetic progression. _Source: syllabus Mathematics, Chapter 5, Arithmetic Progressions._

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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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