FAST Future Aptitude Selection Tool Logical Reasoning 5

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?

Accepted Answer

36

Answer

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?

Accepted Answer

△

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?

Accepted Answer

None of the above must be true

Answer

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?

Accepted Answer

7.5°

Answer

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?

Accepted Answer

Air Force

Answer

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.

(FAST) Future Aptitude Selection Tool Practice Test

(FAST) Future Aptitude Selection Tool Practice Test

FAST Future Aptitude Selection Tool Logical Reasoning 5