NBT Logical Reasoning & Problem Solving 3 Flashcards
6 cards from real NBT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 NBT Logical Reasoning & Problem Solving 3 flashcards as text
In a logical argument, if the premise "If it rains, the match is cancelled" is true, and "the match was not cancelled," what can be logically concluded?
Answer: It did not rain
This is the rule of "modus tollens": If P → Q, and ¬Q, then ¬P. If rain → cancellation, and the match was NOT cancelled, then it did NOT rain.
A sequence: 1, 4, 9, 16, 25, ___. What is the next term?
Answer: 36
The sequence consists of perfect squares: 1², 2², 3², 4², 5². The next is 6² = 36.
A problem states: "It takes 3 workers 4 days to complete a task. How many days will 6 workers take to complete the same task?"
Answer: 2 days
Total work = 3 × 4 = 12 worker-days. With 6 workers: 12 ÷ 6 = 2 days.
Which of the following is an example of inductive reasoning?
Answer: The sun has risen every day in recorded history; therefore it will rise tomorrow.
Inductive reasoning draws general conclusions from specific observations. Observing that the sun has risen every day leads to the general conclusion it will keep rising — this is a probabilistic, not guaranteed, conclusion.
Five people sit in a row. Amahle sits between Sipho and Zanele. Thandi sits at one end. Rethabile does not sit next to Thandi. Which of the following seating arrangements is possible?
Answer: Thandi, Sipho, Amahle, Zanele, Rethabile
Check: Thandi at one end (position 1). Amahle is between Sipho and Zanele (positions 2,3,4 or 3,4,5). Rethabile not next to Thandi (not position 2). Option A: Thandi(1), Sipho(2), Amahle(3), Zanele(4), Rethabile(5). Amahle between Sipho and Zanele ✓. Rethabile at end (position 5), not next to Thandi ✓. Valid.
A logical argument states: "Some students are athletes. All athletes are disciplined. Therefore some students are disciplined." Is this argument valid?
Answer: Yes, it follows logically from the premises
The argument is valid. If some students are athletes, and all athletes are disciplined, then at least those student-athletes are disciplined — making "some students are disciplined" a logically valid conclusion.