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NMAT Algebra — practice questions — page 2

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 31–60 of 104.

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 →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 →

Worked practice questions

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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LCM(6, 72, 120) is:

  1. 216
  2. 360
  3. 720
  4. 120
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Correct answer: B. 360

1. Greatest powers are 2 cubed, 3 squared and 5. 2. 8 x 9 x 5 is 360. 3. The HCF is 6. _Source: syllabus Mathematics, Chapter 1, Real Numbers._

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A number that cannot be written as p/q with integers p and q (q not zero) is:

  1. Composite
  2. Integer
  3. Irrational
  4. Rational
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Correct answer: C. Irrational

1. Root 2 and root 3 are examples. 2. Such numbers are irrational. 3. Together with rationals they make the reals. _Source: syllabus Mathematics, Chapter 1, Real Numbers._

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