PELLETB Domain 3: Reasoning Ability Welcome to your PELLETB Domain 3: Reasoning Ability 1. PELLETB: Reasoning Ability If two trains are moving towards each other on parallel tracks, with Train A traveling at 70 miles per hour and Train B traveling at 80 miles per hour, and they are currently 450 miles apart, how long will it take for the two trains to meet? A. 3 hours B. 3.5 hours C. 4 hours D. 5 hours None 2. PELLETB: Reasoning Ability A code-breaker must determine the correct sequence of a 4-digit lock where each digit can be 1, 2, 3, or 4, and no digit repeats. If the second digit is twice the first, and the fourth digit is one less than the third, which sequence cannot be the combination? A. 1324 B. 2134 C. 3124 D. 4231 None 3. PELLETB: Reasoning Ability A detective solves cases with a success rate of 75%. If she takes on 8 new cases this month, how many cases can she be expected to solve? A. 5 B. 6 C. 7 D. 8 None 4. PELLETB: Reasoning Ability In a logic game, a player moves a knight on a chessboard from one square to another. If the knight must move in an L-shape, either two squares in one direction and then one square perpendicular to that or one square in one direction and then two squares perpendicular, what is the minimum number of moves required for the knight to return to its original position? A. 2 B. 3 C. 4 D. 6 None 5. PELLETB: Reasoning Ability A code consists of 5 symbols: ? (delt A. ? (sigma), ? (lambda), ? (omega), and ? (pi). If ? represents 1, ? represents 2, ? represents 3, ? represents 4, and ? represents 5, and the code for a secure door changes daily by advancing each symbol two positions forward (? to ?, ? to ?, etc.), what will be the code on the third day if it starts as ?????? A) ????? B. ????? C. ????? None 6. PELLETB: Reasoning Ability If a detective can solve a case in 12 hours working alone, but with the help of a partner, the case can be solved in 8 hours, how long would it take for the partner to solve the case working alone? A. 16 hours B. 18 hours C. 24 hours D. 32 hours None 7. PELLETB: Reasoning Ability A pattern of numbers consists of alternating prime and composite numbers starting with a prime number. If the pattern starts with 2, what is the 10th number in the pattern? A. 15 B. 16 C. 17 D. 18 None 8. PELLETB: Reasoning Ability In a certain code language, "1234" translates to "blue", "5678" translates to "green", and "1357" translates to "red". Using this code, what would "2468" most likely translate to? A. Purple B. Orange C. Yellow D. Brown None 9. PELLETB: Reasoning Ability A puzzle involves moving disks of different sizes from peg A to peg C, with the rule that a larger disk cannot be placed on top of a smaller disk and only one disk can be moved at a time. If there are 3 disks, what is the minimum number of moves required to transfer all the disks from peg A to peg C using peg B as an intermediary? A. 5 B. 7 C. 8 D. 9 None 10. PELLETB: Reasoning Ability If a sequence of numbers is constructed by adding the previous two numbers to get the next number, and the sequence starts with 1 and 1, what is the 7th number in the sequence? A. 8 B. 13 C. 21 D. 34 None 1 out of 10 Time is Up! Time's up
