Average Aptitude Questions with Answers:


Overview:


Questions and Answers Type:MCQ (Multiple Choice Questions).
Main Topic:Quantitative Aptitude.
Quantitative Aptitude Sub-topic:Average Aptitude Questions and Answers.
Number of Questions:10 Questions with Solutions.

  1. Find out the average of six consecutive odd numbers starting from seven?

    1. \(10\)
    2. \(14\)
    3. \(12\)
    4. \(15\)


Answer: (c) \(12\)

Solution: Six odd numbers starting from seven are \(= 7, 9, 11, 13, 15\). Then $$ Average = \frac{7 + 9 + 11 + 13 + 15}{5} $$ $$ = \frac{72}{6} = 12 $$

  1. Find out the average of five consecutive even numbers starting from \(10 \ ?\)

    1. \(12\)
    2. \(13\)
    3. \(14\)
    4. \(16\)


Answer: (c) \(14\)

Solution: Five even numbers starting from \(10\) are \(10, 12, 14, 16, 18\), then $$Average = \frac{10 + 12 + 14 + 16 + 18}{5}$$ $$ = \frac{70}{5} = 14 $$

  1. If the average of \(5\) numbers is \(3\) then find the average after multiplying the number by \(6 \ ?\)

    1. \(16\)
    2. \(20\)
    3. \(14\)
    4. \(18\)


Answer: (d) \(18\).

Solution: Given average of \(5\) numbers = \(3\)

Total value of \(5\) numbers = \(5 \times 3 = 15\)

Total value of five numbers after multiplying the numbers by \(6\) = \(15 \times 6 = 90\)

then the new average \(= \frac{90}{5} = 18\)

  1. If the average of \(7\) numbers is \(5\) then find the average after multiplying the numbers by \(9 \ ?\)

    1. \(35\)
    2. \(40\)
    3. \(45\)
    4. \(42\)


Answer: (c) \(45\)

Solution: Given average of \(7\) numbers = \(5\)

Total value of \(7\) numbers = \(7 \times 5 = 35\)

Total value of \(7\) numbers after multiplying the numbers by \(9\) = \(35 \times 9 = 315\)

then the new average \(= \frac{315}{7} = 45\)

  1. If a train running between two stations and train covers first \(50 \ km\) at the average speed of \(20 \ km/hr\), second \(50 \ km\) at the average speed of \(40 \ km/hr\), and last \(50 \ km\) at the average speed of \(50 \ km/hr\). Find the average speed of the train during whole journey?

    1. \(30.05 \ km/hr\)
    2. \(31.56 \ km/hr\)
    3. \(32.56 \ km/hr\)
    4. \(33.26 \ km/hr\)


Answer: (b) \(31.56 \ km/hr\)

Solution: $$Average \ Speed = \frac{Total \ distance \ covered}{Total \ time \ taken}$$ $$Average \ Speed = \frac{50 + 50 + 50}{\frac{50}{20} + \frac{50}{40} + \frac{50}{50}}$$ $$= \frac{150 \times 4}{19} = \frac{600}{19} = 31.56 \ km/hr$$

  1. If a man travels first \(100 \ km\) at the average speed of \(60 \ km/hr\), second \(150 \ km\) at the average speed of \(80 \ km/hr\), and last \(200 \ km\) at the average speed of \(100 \ km/hr\). Find the average speed of the man during the whole journey?

    1. \(81.203\)
    2. \(80.305\)
    3. \(82.205\)
    4. \(83.203\)


Answer: (a) \(81.203\)

Solution: $$Average \ Speed = \frac{Total \ distance \ traveled}{Total \ time \ taken}$$ $$Average \ Speed = \frac{100 + 150 + 200}{\frac{100}{60} + \frac{150}{80} + \frac{200}{100}}$$ $$= \frac{450 \times 24}{133} = \frac{10800}{133} = 81.203 \ km/hr$$

  1. If the average age of three men is \(50\) years and the ratio of their ages are \(5 : 7 : 8\) then find the age of oldest man?

    1. \(50 \ years\)
    2. \(65 \ years\)
    3. \(60 \ years\)
    4. \(65 \ years\)


Answer: (c) \(60 \ years\)

Solution: Let the ages of men are \(5x, 7x,\) and \(8x\) years. then $$ 50 = \frac{5x + 7x + 8x}{3} $$ $$ 20x = 150 $$ $$ x = 7.5 $$ Then the age of oldest man \(= 8 \times 7.5 = 60 \ years\)

  1. If the average weight of five students is \(40 \ kg\) and their weight ratio are \(2 : 4 : 5 : 6 : 8\) then find the students who have the lowest and highest weight?

    1. \(16 \ and \ 62 \ kg\)
    2. \(16 \ and \ 64 \ kg\)
    3. \(18 \ and \ 66 \ kg\)
    4. \(15 \ and \ 68 \ kg\)


Answer: (b) \(16 \ and \ 64 \ kg\)

Solution: Let the weight of the students are \(2x, 4x, 5x, 6x, \ and \ 8x \ kg\), then $$ 40 = \frac{2x + 4x + 5x + 6x + 8x}{5} $$ $$ 40 = \frac{25x}{5} $$ $$ 25x = 200 $$ $$ x = 8 $$ then lowest weight student \(= 2x = 2 \times 8 = 16 \ kg\)

highest weight student \(= 8x = 8 \times 8 = 64 \ kg\)

  1. Find the average of first six odd numbers after multiplying by \(2 \ ?\)

    1. \(12\)
    2. \(14\)
    3. \(16\)
    4. \(18\)


Answer: (a) \(12\)

Solution: $$ Average = \frac{2 \ (1 + 3 + 5 + 7 + 9 + 11)}{6} $$ $$ = \frac{72}{6} = 12 $$

  1. If there are four numbers and average of all four numbers is \(100\) but the average of first three numbers is \(70\), then find the fourth number?

    1. \(210\)
    2. \(190\)
    3. \(160\)
    4. \(170\)


Answer: (b) \(190\)

Solution: Sum of all four numbers = \(4 \times 100 = 400\)

sum of the first three numbers = \(3 \times 70 = 210\)

Then the fourth number = \(400 - 210 = 190\)