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NMAT Number System — practice questions — page 3

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 61–90 of 136.

HCF(6, 20) is 2 and LCM(6, 20) is:Read the answer and worked solution →HCF is the product of the smallest power of each common prime; LCM is the product of the:Read the answer and worked solution →For two positive integers a and b, HCF(a, b) x LCM(a, b) equals:Read the answer and worked solution →LCM(6, 72, 120) is:Read the answer and worked solution →A number that cannot be written as p/q with integers p and q (q not zero) is:Read the answer and worked solution →The proof that root 2 is irrational uses the technique of:Read the answer and worked solution →If p is a prime and p divides a squared, then p divides:Read the answer and worked solution →The sum of a rational and an irrational number is:Read the answer and worked solution →A rational number has a terminating decimal expansion only when its denominator's prime factors are:Read the answer and worked solution →Counting eggs that leave remainders 1, 2, 3, 4, 5 in pairs, threes, fours, fives, sixes and none in sevens, under 150, gives:Read the answer and worked solution →Catch the irrationalsRead the answer and worked solution →Pop the number wordsRead the answer and worked solution →Run the HCF and LCM numbersRead the answer and worked solution →Slice the number theory wordsRead the answer and worked solution →Rational or irrationalRead the answer and worked solution →Sort Euclid, factorisation and decimalsRead the answer and worked solution →Type the numberRead the answer and worked solution →Number system bingoRead the answer and worked solution →A list of numbers in which each term comes from adding a fixed number to the one before it is called:Read the answer and worked solution →The fixed number added each time in such a list is called the:Read the answer and worked solution →Shakila's money box holds 100, 150, 200, 250 rupees on successive birthdays. The common difference is:Read the answer and worked solution →For the list 6, 3, 0, minus 3, the common difference is:Read the answer and worked solution →Reena starts on 8000 rupees a month with a yearly rise of 500. Her salary in the fifth year is:Read the answer and worked solution →With a starting salary of 8000 and a rise of 500 a year, the salary in the fifteenth year is:Read the answer and worked solution →The nth term of a progression with first term a and common difference d is:Read the answer and worked solution →The tenth term of the list 4, 10, 16, 22 is:Read the answer and worked solution →Which of these lists is an arithmetic progression?Read the answer and worked solution →The list minus 2, 2, minus 2, 2 is not a progression because the differences are:Read the answer and worked solution →A progression with a last term is described as:Read the answer and worked solution →To list a progression completely, the minimum information you need is:Read the answer and worked solution →

Worked practice questions

HCF(6, 20) is 2 and LCM(6, 20) is:

  1. 30
  2. 10
  3. 60
  4. 120
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Correct answer: C. 60

1. 6 is 2 x 3 and 20 is 2 x 2 x 5. 2. Take the greatest power of each prime. 3. 2 x 2 x 3 x 5 is 60. _Source: syllabus Mathematics, Chapter 1, Real Numbers._

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HCF is the product of the smallest power of each common prime; LCM is the product of the:

  1. Smallest power of each prime
  2. Sum of all the prime factors
  3. Common prime factors only
  4. Greatest power of each prime
Show answer and solution

Correct answer: D. Greatest power of each prime

1. Every prime involved counts. 2. Use its greatest power. 3. That gives the LCM. _Source: syllabus Mathematics, Chapter 1, Real Numbers._

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For two positive integers a and b, HCF(a, b) x LCM(a, b) equals:

  1. a x b
  2. a + b
  3. a - b
  4. a / b
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Correct answer: A. a x b

1. Check with 6 and 20: 2 times 60 is 120. 2. That equals 6 times 20. 3. Use it to find LCM once HCF is known. _Source: syllabus Mathematics, Chapter 1, Real Numbers._

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More Quantitative Aptitude topics

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