Question
The average of 16 numbers is 82. The average of the
first 8 numbers is 90, while the average of the last 9 numbers is 75. If the 8th number is removed, what will be the average of the remaining 15 numbers, rounded to one decimal place?Solution
ATQ, Sum of 16 numbers = 82 × 16 ⇒ 1312 Sum of first 8 numbers = 90 × 8 ⇒ 720 Sum of last 9 numbers = 9 × 75 ⇒ 675 Let the 8th number be x Sum of 16 numbers = Sum of first 8 numbers + Sum of last 9 numbers - 8th number ⇒ 1312 = 720 + 675 - x ⇒ 1312 = 1395 - x ⇒ x = 1395 - 1312 ⇒ x = 83 Sum of remaining numbers = 1312 - 83 ⇒ 1229 Remaining numbers = 15 Average of remaining numbers = 1229 / 15 ⇒ 81.9 ∴ The average of the remaining numbers (correct to one decimal place) is 81.9
- What will come in place of the question mark (?) in the following series?
5, 15, 35, 75, 155, ? 21, 37, 73, 137, ?, 381
What value should come in the place of (?) in the following number series?
14, 43, 132, 401, 1210, ?, 10928
- What will come in place of the question mark (?) in the following series?
10, 17, 26, 37, 50, ? What will come in place of the question mark (?) in the following series?
1528, 1416, 1204, ?, 480, -32
What will come in place of the question mark (?) in the following series?
562, 56...
4, 4, 12, 60, ?, 3780
1, 7, 25, 61, ?
580 557 528 497 ? 419
What will come in place of the question mark (?) in the following series?
2, 5, 14, 41, 122, 365, ?
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