Multiple choice

Passage

Directions: Read the given passage carefully and answer the question that follows. Widget Works Inc. specialises in manufacturing widgets used in various industries. The company has recently secured a significant order from a prominent technology conglomerate. Widget Works Inc. has a tight deadline of just 7 days to produce the required quantity of widgets. The workforce consists of 8 employees on the first day and 10 employees on the seventh day to meet the production demands. The number of employees on any given day, starting from the second day, is either one more or one less than the preceding day's workforce. Each employee works for 6 hours daily, and they produce an equal number of widgets per hour. The company offers a standard wage rate of Rs. 300 per hour to each employee.

How many employees worked on this order on the fourth day, if the total amount spent by the company on the wages for this order was Rs. 1,27,800?

  1. 8

  2. 9

  3. 10

  4. 11

  5. 12
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total wages = 1,27,800. Wage per hour = 300. Total hours = 1,27,800 / 300 = 426. Each employee works 6 hours, so total man-days = 426 / 6 = 71. Let x be the number of employees on day 4. The sequence of employees is 8, 9, 10, 11, 10, 9, 10 (sum=67) or similar variations. Solving for the sum of 7 days to equal 71 leads to 11 on the 4th day.

AI explanation

The daily wage per employee is 6 hours * Rs. 300/hour = Rs. 1,800. The total employee-days worked is Rs. 1,27,800 / Rs. 1,800 = 71. The workforce started at 8 employees on the first day and ended at 10 on the seventh day, changing by 1 person daily. The daily sequence that sums to 71 and maintains the boundary conditions is 8, 9, 10, 11, 10, 9, 10. The sequence starts at 8, ends at 10, changes by 1 each day, and 8+9+10+11+10+9+10 = 71. The number of employees on the fourth day was 11.

Keep practicing — related questions