Numerical Reasoning: Word Problems Flashcards
7 cards from real Crossover Aptitude Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Numerical Reasoning: Word Problems flashcards as text
A flight covers 2,800 miles. For the first half of the distance, the plane averages 560 mph. For the second half, it averages 700 mph. What is the average speed for the entire trip?
Answer: 622 mph
Time for first 1,400 miles = 1,400÷560 = 2.5 hr; second = 1,400÷700 = 2 hr; avg speed = 2,800÷4.5 ≈ 622 mph.
A box contains red and blue marbles in a 3:5 ratio. If there are 24 red marbles, how many marbles are there in total?
Answer: 64
If 3 parts = 24, then 1 part = 8; total parts = 3 + 5 = 8; total marbles = 8 × 8 = 64.
A contractor charges $50 per hour plus a $200 flat fee for any job. If a customer's total bill is $650, how many hours did the contractor work?
Answer: 9 hours
Hourly portion = $650 − $200 = $450; hours = $450 ÷ $50 = 9 hours.
A school has 840 students and the student-to-teacher ratio is 28:1. If 30 more students enroll and the ratio must stay the same, how many additional teachers are needed?
Answer: 1
New enrollment = 870; new teachers needed = 870 ÷ 28 ≈ 31.07, so 32 total vs. current 30 — actually 840÷28 = 30 teachers; 870÷28 ≈ 31.07 → 31 teachers needed, so 1 additional.
A salesman sold 3 products at $120 each and 5 products at $85 each. He receives a 10% commission on total sales. What is his commission?
Answer: $78.50
Total sales = 3×$120 + 5×$85 = $360 + $425 = $785; commission = 10% × $785 = $78.50.
Water costs $0.004 per gallon. A household uses 8,500 gallons per month. What is their monthly water bill?
Answer: $34.00
Bill = 8,500 × $0.004 = $34.00.
A store buys a TV for $400 and sells it at a 35% markup. Later, the store discounts the retail price by 10%. What is the final selling price?
Answer: $486.00
Retail price = $400 × 1.35 = $540; final price after 10% discount = $540 × 0.90 = $486.