Bennett Mechanical Spatial Reasoning Questions and Answers — Questions and Answers
Question 1: In the gear system shown, if Gear A rotates clockwise, what will be the direction of rotation for Gear C?
- Counter-clockwise
- It will not rotate
- Clockwise (Correct answer)
- It will alternate directions
Correct answer: Clockwise
When two external gears mesh, they rotate in opposite directions. Gear A (clockwise) turns Gear B (counter-clockwise). Gear B (counter-clockwise) then turns Gear C (clockwise). Therefore, Gear C rotates in the same direction as Gear A.
Question 2: In the pulley system shown, the belt is crossed. If pulley X is the driver and rotates counter-clockwise, in which direction will pulley Y rotate?
- Clockwise (Correct answer)
- Counter-clockwise
- It will not rotate
- It depends on the belt tension
Correct answer: Clockwise
In a pulley system with a crossed (or twisted) belt, the driven pulley always rotates in the opposite direction to the driver pulley. Since pulley X rotates counter-clockwise, pulley Y will rotate clockwise.
Question 3: A standard six-sided die is sitting on a table. The top face shows a '3'. The face pointing towards you shows a '2'. In this orientation, what number is on the bottom face, the one touching the table?
- 5
- 6
- 1
- 4 (Correct answer)
Correct answer: 4
On a standard six-sided die, the numbers on opposite faces always add up to 7. Since the top face is a '3', the bottom face must be a '4' (because 3 + 4 = 7). The '2' on the front face is extra information not needed to solve the problem.
Question 4: Water is flowing steadily through a pipe that narrows from a wide section (Section A) to a smaller section (Section B). Assuming the volume of water flowing per second is constant, how does the speed of the water in Section B compare to the speed in Section A?
- The speed is slower in Section B.
- The speed is faster in Section B. (Correct answer)
- The speed is the same in both sections.
- The speed depends on the water pressure, which is not given.
Correct answer: The speed is faster in Section B.
According to the principle of continuity for fluid flow, the volume flow rate must remain constant. To move the same volume of water through a smaller cross-sectional area (Section B), the water's velocity must increase. Therefore, the water flows faster in the narrower section.
Question 5: A standard bolt with a right-hand thread is being held stationary. To move a nut further *onto* the bolt (away from the head), in which direction must the nut be turned from the perspective of someone looking at the head of the bolt?
- Clockwise (Correct answer)
- Counter-clockwise
- Either direction will work
- It depends on the size of the nut
Correct answer: Clockwise
This follows the "right-hand rule" for standard threads, often remembered by the mnemonic "righty-tighty, lefty-loosey". To tighten a nut or screw (moving it down the shaft), you turn it clockwise.
Question 6: An L-shaped block is resting on a table on its largest face, with the short arm pointing towards you. If you rotate the block 90 degrees clockwise around its vertical axis, where will the short arm be pointing?
- Away from you
- To your left
- To your right (Correct answer)
- Towards you
Correct answer: To your right
Imagine looking down at the L-shape from above. The short arm points towards you (South). A 90-degree clockwise rotation around the vertical axis will move the feature that was pointing South to the position that is now West, which is to your right.
In the gear system shown, if Gear A rotates clockwise, what will be the direction of rotation for Gear C?