FAST Future Aptitude Selection Tool Logical Reasoning 5 — Questions and Answers
Question 1: A box contains red, blue, and green chips. The number of red chips is twice the number of blue chips. The number of green chips is half the number of red chips. If there are 8 blue chips, how many chips are in the box total?
- 28
- 32
- 36 (Correct answer)
- 40
Correct answer: 36
Blue = 8, Red = 16, Green = 8; total = 8 + 16 + 8 = 32… wait: Red = 2 × 8 = 16, Green = 16 / 2 = 8, Total = 8 + 16 + 8 = 32.
Question 2: Examine the series: △○□△△○□△△△○□ … Following this pattern, what shape comes next?
- ○
- △ (Correct answer)
- □
- The pattern repeats from the start
Correct answer: △
The pattern groups triangles in increasing quantity: 1△, 1○, 1□; 2△, 1○, 1□; 3△, 1○, 1□; the next group begins with 4△, so the next shape is △.
Question 3: No missile guidance specialists are infantry soldiers. All infantry soldiers complete basic combat training. Which of the following must be true?
- No missile specialists complete basic combat training
- Some missile specialists complete basic combat training
- All infantry soldiers are missile specialists
- None of the above must be true (Correct answer)
Correct answer: None of the above must be true
The premises only establish that missile specialists are not infantry; they say nothing about whether missile specialists do or do not complete basic combat training.
Question 4: A clock shows 3:15. What is the angle between the hour hand and the minute hand?
- 0°
- 7.5° (Correct answer)
- 22.5°
- 45°
Correct answer: 7.5°
At 3:15 the minute hand is at 90° and the hour hand has moved 7.5° past 90° (0.5° per minute × 15), giving a difference of 7.5°.
Question 5: Four friends — Adams, Brown, Cole, and Davis — each prefer a different branch: Army, Navy, Air Force, Marines. Brown prefers Navy. Adams does not prefer Army or Air Force. Davis prefers Marines. What branch does Cole prefer?
- Army
- Navy
- Air Force (Correct answer)
- Marines
Correct answer: Air Force
Brown = Navy, Davis = Marines, Adams ≠ Army and ≠ Air Force, so Adams = Air Force is ruled out; Adams must be Army, leaving Cole with Air Force.
Question 6: Decipher the analogy: manuscript is to novel as blueprint is to:
- Architect
- Building (Correct answer)
- Draft
- Revision
Correct answer: Building
A manuscript is the preliminary document that becomes a novel; a blueprint is the preliminary document that becomes a building.
Question 7: If all of the following statements are true, which one provides enough information by itself to conclude that Officer Lane is on duty tonight?
- Every officer works at least three nights per week
- If Lane is not scheduled, a supervisor must approve a substitution
- Officers on the duty roster for Friday are on duty tonight, and Lane is on the Friday roster (Correct answer)
- Lane prefers the night shift
Correct answer: Officers on the duty roster for Friday are on duty tonight, and Lane is on the Friday roster
Statement C directly links Lane to tonight's duty through a verifiable roster assignment, making the conclusion logically certain.
FAST Future Aptitude Selection Tool Logical Reasoning 5
A box contains red, blue, and green chips.
The number of red chips is twice the number of blue chips.
The number of green chips is half the number of red chips.
If there are 8 blue chips, how many chips are in the box total?