SHSAT SHSAT Logical Reasoning 2 — Questions and Answers
Question 1: What comes next in the pattern: A, D, G, J, ___?
- K
- M (Correct answer)
- L
- N
Correct answer: M
Each letter skips two positions: A(1), D(4), G(7), J(10), M(13).
Question 2: If all Blips are Zorks, and no Zorks are Flims, which must be true?
- All Flims are Blips
- Some Blips are Flims
- No Blips are Flims (Correct answer)
- All Zorks are Blips
Correct answer: No Blips are Flims
All Blips are Zorks, and no Zorks are Flims, so no Blips can be Flims.
Question 3: Four friends sit in a row: Anna is not at either end; Ben sits to the right of Anna; Cara is at the leftmost seat. Who is at the rightmost seat?
- Anna
- Ben
- Cara
- Dan (Correct answer)
Correct answer: Dan
Cara is leftmost; Anna is not at either end; Ben is to Anna's right; so the order is Cara, Anna, Ben, Dan.
Question 4: If 3 workers can build a wall in 12 days, how many days will 6 workers need?
- 24 days
- 4 days
- 6 days (Correct answer)
- 8 days
Correct answer: 6 days
Using inverse proportion: 3 × 12 = 6 × d, so d = 36 ÷ 6 = 6 days.
Question 5: Which number does NOT belong: 4, 9, 16, 25, 35, 49?
- 9
- 16
- 35 (Correct answer)
- 49
Correct answer: 35
All others are perfect squares (2², 3², 4², 5², 7²), but 35 is not a perfect square.
Question 6: A train leaves City A at 9:00 AM traveling at 60 mph. A second train leaves City A at 10:00 AM traveling at 80 mph in the same direction. At what time will the second train catch the first?
- 1:00 PM (Correct answer)
- 12:00 PM
- 11:00 AM
- 2:00 PM
Correct answer: 1:00 PM
After 1 hour, Train 1 is 60 miles ahead. The closing rate is 20 mph, so it takes 60/20 = 3 more hours after 10 AM = 1:00 PM.
What comes next in the pattern: A, D, G, J, ___?