EA Two-Part Analysis 1 — Questions and Answers
Question 1: A company wants to allocate budget so that Division A gets exactly twice Division B's allocation and the total is $900K. Select Division A's allocation AND Division B's allocation.
- A=$600K, B=$300K (Correct answer)
- A=$450K, B=$450K
- A=$700K, B=$200K
- A=$500K, B=$400K
Correct answer: A=$600K, B=$300K
Let B = x; then A = 2x; 3x = $900K; x = $300K, so B=$300K and A=$600K.
Question 2: A train travels from City X to City Y in 4 hours at 75 mph. A car makes the same trip in 6 hours. What speed does the car travel AND what is the distance between the cities?
- Car=50 mph, Distance=300 miles (Correct answer)
- Car=60 mph, Distance=300 miles
- Car=50 mph, Distance=450 miles
- Car=45 mph, Distance=270 miles
Correct answer: Car=50 mph, Distance=300 miles
Distance = 4 × 75 = 300 miles; car speed = 300 / 6 = 50 mph.
Question 3: A store sells items at a 40% markup over cost. An item costs $35. What is the selling price AND the profit per unit?
- Price=$49, Profit=$14 (Correct answer)
- Price=$49, Profit=$21
- Price=$42, Profit=$7
- Price=$52.50, Profit=$17.50
Correct answer: Price=$49, Profit=$14
Selling price = $35 × 1.40 = $49; profit = $49 − $35 = $14.
Question 4: A project requires 240 person-hours. Team X works at 30 hours/day and Team Y works at 10 hours/day. If Team X works alone for 4 days, how many days does Team Y need to finish AND what is the total number of days elapsed?
- Y needs 12 days; Total=16 days (Correct answer)
- Y needs 10 days; Total=14 days
- Y needs 12 days; Total=12 days
- Y needs 8 days; Total=12 days
Correct answer: Y needs 12 days; Total=16 days
Team X completes 4×30=120 hours; remaining=120 hours; Team Y: 120/10=12 days; total=4+12=16 days.
Question 5: A rectangle's length is 3 times its width. The perimeter is 96 cm. What is the length AND the area?
- Length=36 cm, Area=432 cm² (Correct answer)
- Length=24 cm, Area=288 cm²
- Length=36 cm, Area=324 cm²
- Length=30 cm, Area=300 cm²
Correct answer: Length=36 cm, Area=432 cm²
2(3w + w) = 96; 8w = 96; w = 12; length = 36; area = 36 × 12 = 432 cm².
Question 6: Product A generates 60% of total revenue and Product B generates 40%. Total revenue is $5M. If Product A's revenue grows 10% and Product B's falls 5%, what are the new revenues for A AND B?
- A=$3.3M, B=$1.9M (Correct answer)
- A=$3.3M, B=$2.1M
- A=$3.6M, B=$1.9M
- A=$3.0M, B=$2.0M
Correct answer: A=$3.3M, B=$1.9M
A current = $3M × 1.10 = $3.3M; B current = $2M × 0.95 = $1.9M.
EA Two-Part Analysis 1
A company wants to allocate budget so that Division A gets exactly twice Division B's allocation and the total is $900K.
Select Division A's allocation AND Division B's allocation.