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IIFT Algebra — practice questions — page 2

Explore 101 free Algebra questions in IIFT 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 101.

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 distance between two points in a plane is worked out using which theorem?Read the answer and worked solution →Since distance can never be negative, the distance formula takes:Read the answer and worked solution →The distance between the points (4, 6) and (6, 8) is:Read the answer and worked solution →The distance between the points (2, 3) and (4, 1) is:Read the answer and worked solution →The distance between the points (0, 0) and (36, 15) is:Read the answer and worked solution →The distance of the point (6, 4) from the point (minus 5, minus 3) comes to:Read the answer and worked solution →The distance of any point P from the origin uses which coordinates?Read the answer and worked solution →The points (3, 2), (minus 2, minus 3) and (2, 3) form which kind of triangle?Read the answer and worked solution →The points (1, 7), (4, 2), (minus 1, minus 1) and (minus 4, 4) are the vertices of a:Read the answer and worked solution →Ashima, Bharti and Camella sit at (3, 1), (6, 4) and (8, 6). Are they in a line?Read the answer and worked solution →The relation satisfied by every point equidistant from (7, 1) and (3, 5) is:Read the answer and worked solution →The point on the y-axis equidistant from (6, 5) and (minus 4, 3) is:Read the answer and worked solution →The formula giving the point dividing a segment in a given ratio is the:Read the answer and worked solution →The point dividing the join of (4, minus 3) and (8, 5) in the ratio 3 to 1 is:Read the answer and worked solution →A midpoint divides a line segment in which ratio?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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