Question
In a company team, if 3 employees each weighing 65 kg
resign, the average weight of the remaining team members drops by 1 kg. But if 4 employees with an average weight of 66 kg resign, the average weight reduces by 2 kg. What was the original number of employees in the team?Solution
ATQ,
Let the total number of employees = n, and average weight = m
After 3 people leave:
mn - 3×65 = (n - 3)(m - 1)
→ mn - 195 = mn - 3m - n + 3
→ 3m + n = 198 -------- (i)
After 4 people leave:
mn - 4×66 = (n - 4)(m - 2)
→ mn - 264 = mn - 4m - 2n + 8
→ 4m + 2n = 272
→ divide by 2: 2m + n = 136 -------- (ii)
Now solve equations:
From (i): n = 198 - 3m
Substitute into (ii):
2m + (198 - 3m) = 136
→ 2m + 198 - 3m = 136
→ -m = -62
→ m = 62
→ n = 198 - 3×62 = 198 - 186 = 12
Simplify the following trigonometric expression:
...
12 cos 68o cosec 22o - 3 cot 72o cot 18o- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
√65 of 14.97 + √50 = (12.02)2 - ?
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
181.87 ÷ 13.89 X 8.13 + ? = 11.852
`[(7.99)^2 - (13.001)^2 + (4.01)^3]^2=` ?
(24.88% of 4879.79) + 20.030 × 13.88 of 13.86 + 46.21 = ? + (13.22)²
(8.86)² × (15.01)² ÷ √624.99 = 9?
What approximate value should come in the place of (?) in the following questions?
42.98% of 849 + 18.45% of 1201 ≈ ?
