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SNAP Number System — practice questions — page 3

Explore 107 free Number System questions in SNAP 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 107.

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 →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 →

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
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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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