NBT Logical Reasoning & Problem Solving 2 — Questions and Answers
Question 1: If all Blorks are Flinks, and some Flinks are Grumps, which conclusion MUST be true?
- All Blorks are Grumps
- Some Blorks may be Grumps (Correct answer)
- No Blorks are Grumps
- All Grumps are Blorks
Correct answer: Some Blorks may be Grumps
Since only 'some' Flinks are Grumps, we cannot guarantee any Blork is a Grump, but it remains possible.
Question 2: A sequence follows the rule: each term is the sum of the two preceding terms. The sequence begins 1, 1, 2, 3, 5, __. What is the next term?
- 7
- 8 (Correct answer)
- 9
- 10
Correct answer: 8
5 + 3 = 8, following the Fibonacci-style rule.
Question 3: Three friends — Ava, Ben, and Cal — each prefer a different color: red, blue, or green. Ava does not like red. Ben likes blue. Which color does Cal like?
- Blue
- Red (Correct answer)
- Green
- Cannot be determined
Correct answer: Red
Ben has blue; Ava cannot have red, so Ava has green, leaving red for Cal.
Question 4: A store marks up an item by 40% and then discounts it by 20%. What is the net percentage change from the original price?
- 20% increase
- 12% increase (Correct answer)
- 8% increase
- No change
Correct answer: 12% increase
1.40 × 0.80 = 1.12, which is a 12% net increase over the original price.
Question 5: Which figure completes the analogy? Circle : Sphere :: Square : __
- Cube (Correct answer)
- Rectangle
- Cylinder
- Triangle
Correct answer: Cube
A sphere is the 3-D counterpart of a circle, so a cube is the 3-D counterpart of a square.
Question 6: If P → Q and Q → R, which of the following must be true?
- R → P
- P → R (Correct answer)
- Q → P
- R → Q
Correct answer: P → R
By the transitive property of conditional statements, P → Q and Q → R together imply P → R.
Question 7: A jar contains 4 red, 3 blue, and 5 green marbles. One marble is drawn at random. What is the probability it is NOT green?
- 5/12
- 7/12 (Correct answer)
- 1/3
- 5/7
Correct answer: 7/12
There are 7 non-green marbles out of 12 total, giving a probability of 7/12.
NBT Logical Reasoning & Problem Solving 2
If all Blorks are Flinks, and some Flinks are Grumps, which conclusion MUST be true?