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Average Exercise 1

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Average 1

  • This online quiz will test your knowledge of Average in Quantitative Aptitude.
  • This Online Test is useful for academic and competitive exams.
  • Multiple answer choices are given for each question in this test. You have to choose the best option.
  • After completing the test, you can see your result.
  • There is no negative marking for wrong answers.
  • There is no specified time to complete this test.

What is the average of the following set of numbers?

965, 362, 189, 248, 461, 825, 524, 234

Required average

average-26953.png

= average-26947.png

What is the average of the following set of numbers?

341, 292, 254, 375, 505, 639

Required average

= average-26929.png

= average-26923.png

What is the average of the following set of numbers?

118, 186, 138, 204, 175, 229

Required average

= average-26917.png

= average-26911.png= 175

What is the average of the following set of numbers?

178, 863, 441, 626, 205, 349, 462, 820

Required average

= average-26905.png

= average-26899.png = 493

What is the average of the following set of numbers?

361, 188, 547, 296, 656, 132, 263

Required average

= average-26893.png

= average-26887.png = 349

If 25a + 25b = 115, then what is the average of a and b?

25a + 25b = 115

average-26861.png

∴ Average of a and b =average-26855.png

If the value of 16a + 16b = 672, what is the average of a and b?

16a + 16b = 672

or, 16 (a + b) = 672

∴ a + b = average-26837.png = 42

Required average = average-26831.png

= average-26825.png = 21

If 37a + 37b = 5661, what is the average of a and b?

37a + 37b = 5661

⇒ 37(a + b) = 5661

⇒ a + b = average-26819.png = 153

∴ Average = average-26813.png= 76.5

If the mean of the numbers 27 + x, 31 + x, 89 + x, 107 + x, 156 + x is 82, then the mean of 130 + x, 126 + x, 68 + x, 50 + x, 1 + x is:

Given, average-27561.png

⇒ 82 × 5 = 410 + 5x ⇒ 410 – 410 = 5x ⇒ x = 0

∴ Required mean is,

average-27554.png

average-27548.png

The average of two numbers is XY. If one number is X, then the other number is

Let the other number is N.

Then, average-27267.png

⇒ N = 2XY – X

The average of 5 consecutive even numbers A, B,C,D and E is 52. What is the product of B and E?

Let the five consecutive even numbers be

x, x + 2, x + 4, x + 6 and x + 8 respectively.

According to the question,

x + x + 2 + x + 4 + x + 6 + x + 8

= 5 × 52

⇒ 5x + 20 = 260

⇒ 5x = 260 – 20

⇒ x = average-27143.png= 48

∴ B = x + 2 = 48 + 2 = 50 and

E = x + 8 = 48 + 8 = 56

∴ B × E = 50 × 56 = 2800

The average of 5 consecutive odd numbers A, B, C, D and E is 41. What is the product of A and E?

Let the consecutive odd numbers be

x, x + 2, x + 4, x + 6 and x + 8

According to the question.

average-27137.png= 41

⇒ 5x + 20 = 41 × 5 = 205

⇒ 5x = 205 – 20 = 185

∴ x = average-27131.png = 37

∴ A = 37 and E = 37 + 8 = 45

Required product = 37 × 45 = 1665

The average of 5 consecutive even number A, B, C, D and E is 34. What is the product of B and D?

Let A = x,

According to the question,

A + B + C + D + E

= x + (x + 2) + (x + 4) + (x + 6) + (x 8)

⇒ 5x + 20 = 34 × 5 = 170

⇒ B × D = 32 × 36 = 1152

The average of four consecutive odd numbers is 12.Which is the lowest odd number?

Let the four consecutive odd numbers be

2x – 3, 2x – 1, 2x + 1 and 2x + 3.

Now, 2x = 12 or, x = 6

Lowest odd no. = 2 × 6 – 3 = 9

The average of five consecutive odd numbers is 61. What is the difference between the highest and the lowest number?

Suppose the consecutive odd numbers are:

x, x + 2, x + 4, x + 6 and x + 8

Therefore, the required difference = x + 8 – x = 8

Note that answering the above question does not require the average of the five consecutive odd numbers.

The average of three consecutive odd numbers is 14 more than one-third of the first of these numbers, what is the last of these numbers?

Let the three consecutive odd numbers be

x – 2, x, x + 2 respectively.

According to question,

average-27240.png

∴ 3x – x + 2 = 42 ⇒ 2x = 40

∴ x = 20 = an even number, which goes against our supposition.

The average of four consecutive even numbers is one-fourth of the sum of these numbers. What is the difference between the first and the last number?

Let the four consecutive even number be

2x, 2x + 2, 2x + 4 and 2x + 6 respectively.

Required difference = 2x + 6 – 2x = 6

The average of five numbers is 281. The average of the first two numbers is 280 and the average of the last two numbers is 178.5. What is the third number?

Assume the third number = x

According to question

2 × 280 + x + 178.5 × 2 = 281 × 5

⇒ 560 + x + 357 = 1405

⇒ x + 917 = 1405

⇒ x = 1405 - 917 = 488

Out of the three given numbers, the first number is twice the second and thrice the third. If the average of the three numbers is 121, what is the difference between the first and the third number?

Let the third number be = x

∴ First number = 3x and second number = average-27125.png

According to the question.

⇒ 3x + average-27119.png + x = 3 × 121

⇒ average-27113.png= 3 × 121

⇒ average-27106.png= 3 × 121

∴ x = average-27100.png = 66

∴ Third number = 66

Required difference

= 3x – x = 2x = 2 × 66 = 132

The average of the first and the second of three numbers is 15 more than the average of the second and the third of these numbers. What is the difference between the first and the third of these three numbers?

Set the first, second and third no be F, S and T respectively,

average-27285.png

Solving, we get F – T = 30.

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

Average of 20 numbers = 0.

∴ Sum of 20 numbers

= (0 × 20) = 0.

It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (– a).

The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?

Sum of the remaining two numbers

= (3.95 × 6) – [(3.4 × 2) + (3.85 × 2)]

= 23.70 – (6.8 + 7.7)

= 23.70 – 14.5 = 9.20

∴ Required average

= average-27314.png

The average of 10 numbers is 40.2 Later it is found that two numbers have been wrongly copied. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.

Sum of 10 numbers = 402

Corrected sum of 10 numbers

= 402 – 13 + 31 – 18 = 402

Hence, new average average-27517.png

Now check your Result..

Your score is

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