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- Question 1 of 23
1. Question
What is the average of the following set of numbers?
965, 362, 189, 248, 461, 825, 524, 234
Hint
Required average
=
- Question 2 of 23
2. Question
What is the average of the following set of numbers?
341, 292, 254, 375, 505, 639
Hint
Required average
=
=
- Question 3 of 23
3. Question
What is the average of the following set of numbers?
118, 186, 138, 204, 175, 229
Hint
Required average
=
=
= 175 - Question 4 of 23
4. Question
What is the average of the following set of numbers?
178, 863, 441, 626, 205, 349, 462, 820
Hint
Required average
=
=
= 493 - Question 5 of 23
5. Question
What is the average of the following set of numbers?
361, 188, 547, 296, 656, 132, 263
Hint
Required average
=
=
= 349 - Question 6 of 23
6. Question
If 25a + 25b = 115, then what is the average of a and b?
Hint
25a + 25b = 115
∴ Average of a and b =
- Question 7 of 23
7. Question
If the value of 16a + 16b = 672, what is the average of a and b?
Hint
16a + 16b = 672
or, 16 (a + b) = 672
∴ a + b =
= 42Required average =
=
= 21 - Question 8 of 23
8. Question
If 37a + 37b = 5661, what is the average of a and b?
Hint
37a + 37b = 5661
⇒ 37(a + b) = 5661
⇒ a + b =
= 153∴ Average =
= 76.5 - Question 9 of 23
9. Question
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:
Hint
Given,
⇒ 82 × 5 = 410 + 5x ⇒ 410 – 410 = 5x ⇒ x = 0
∴ Required mean is,
- Question 10 of 23
10. Question
The average of two numbers is XY. If one number is X, then the other number is
Hint
Let the other number is N.
Then,
⇒ N = 2XY – X
- Question 11 of 23
11. Question
The average of 5 consecutive even numbers A, B,C,D and E is 52. What is the product of B and E?
Hint
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 =
= 48∴ B = x + 2 = 48 + 2 = 50 and
E = x + 8 = 48 + 8 = 56
∴ B × E = 50 × 56 = 2800
- Question 12 of 23
12. Question
The average of 5 consecutive odd numbers A, B, C, D and E is 41. What is the product of A and E?
Hint
Let the consecutive odd numbers be
x, x + 2, x + 4, x + 6 and x + 8
According to the question.
= 41⇒ 5x + 20 = 41 × 5 = 205
⇒ 5x = 205 – 20 = 185
∴ x =
= 37∴ A = 37 and E = 37 + 8 = 45
Required product = 37 × 45 = 1665
- Question 13 of 23
13. Question
The average of 5 consecutive even number A, B, C, D and E is 34. What is the product of B and D?
Hint
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
- Question 14 of 23
14. Question
The average of four consecutive odd numbers is 12.Which is the lowest odd number?
Hint
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
- Question 15 of 23
15. Question
The average of five consecutive odd numbers is 61. What is the difference between the highest and the lowest number?
Hint
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.
- Question 16 of 23
16. Question
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?
Hint
Let the three consecutive odd numbers be
x – 2, x, x + 2 respectively.
According to question,
∴ 3x – x + 2 = 42 ⇒ 2x = 40
∴ x = 20 = an even number, which goes against our supposition.
- Question 17 of 23
17. Question
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?
Hint
Let the four consecutive even number be
2x, 2x + 2, 2x + 4 and 2x + 6 respectively.
Required difference = 2x + 6 – 2x = 6
- Question 18 of 23
18. Question
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?
Hint
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
- Question 19 of 23
19. Question
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?
Hint
Let the third number be = x
∴ First number = 3x and second number =
According to the question.
⇒ 3x +
+ x = 3 × 121⇒
= 3 × 121⇒
= 3 × 121∴ x =
= 66∴ Third number = 66
Required difference
= 3x – x = 2x = 2 × 66 = 132
- Question 20 of 23
20. Question
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?
Hint
Set the first, second and third no be F, S and T respectively,
Solving, we get F – T = 30.
- Question 21 of 23
21. Question
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Hint
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).
- Question 22 of 23
22. Question
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?
Hint
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
=
- Question 23 of 23
23. Question
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.
Hint
Sum of 10 numbers = 402
Corrected sum of 10 numbers
= 402 – 13 + 31 – 18 = 402
Hence, new average
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