FCTC MECHANICAL REASONING/ FCTC math &
mechanical Exam With complete solu!on RATED A+
2025/2026 UPDATED
A)Post A
The weight is distributed more on the side of post A, Therefore, it is holding up the greatest part
of the load.
Which post holds up the greater part of the load?
A- Post A
B- Post B
C- Both equal
D- Not clear
C)Neither of the other gears
Because of the way the gears are meshed, both gear 1 and gear 3 will move in the opposite
direc'on of gear 2.
Which of the other gears is moving in the same direc'on as gear 2?
A) Gear 1
B) Gear 3
C) Neither of the other gears
D) Both of the other gears
A)A
Pulley A is the smallest gear. Therefore, it must turn faster (make more revolu'ons per minute).
In this arrangement of pulleys, which pulley turns fastest?
A) A
B) B
C) C
D) D
A)Once
,The single lobe on cam A will cause the setscrew to hit the contact point once during the cam's
revolu'on.
As cam A makes one complete turn in the figure above, the setscrew will hit the contact point
A) Once
B) Twice
C) Three Times
D) Not At All
A)21
Since gear A has 15 teeth and gear B has 10 teeth, gear A is 1.5 the size of gear B. Therefore, 14
x 1.5 = 21.
1. When gear A makes 14 revolu'ons, how many revolu'ons will gear B make?
A) 21
B) 17
C) 14
D) 9
B)Metal Spoon
Metal will feel coldest out of paper, wood, and the fabric of a blanket.
If all of the following objects are at room temperature, which will feel coldest?
A) Book
B) Metal Spoon
C) Wooden Chest
D) Blanket
C)Air pressure on top of the liquid
The siphon works, in part, because of air pressure on the top of the liquid.
In the illustra'on above, liquid is being transferred from the barrel to the bucket by
A) The vacuum at the lower end of the hose
B) The difference between the fluid volumes in the barrel and bucket
C) Air pressure on top of the liquid
D) Capillary ac'on
C)Move downward un'l it reaches the floor
, Newton's Law of Mo'on states that a body at rest will stay at rest unless acted on by an outside
force. Conversely, a body in mo'on stays in mo'on unless acted on by an outside force. In this
picture, both objects are at rest (equilibrium). When an outside force is added to weight 1, the
equilibrium changes, moving this weight downward. Because the pulley has prac'cally no
fric'on, the weight strikes the floor.
The figure above represents a pulley, with prac'cally no fric'on, from which two 10pound
weights are suspended as indicated. If a downward force is applied to weight 1, it is most likely
that weight 1 will
A) Come to rest at the present level of weight 2
B) Move downward un'l it reaches with weight 2
C) Move downward un'l it reaches the floor
D) Pass weight 2 in its downward mo'on and then return to its present posi'on
B)32 gallons per minute
The volume is dependent on the area of the outlet.
Since A= πr² and r = d/2 , then A= π(d²/4) where A is the area and d is the diameter.
The volume is propor'onal to the diameter squared (d²). When the volumes of the 1-inch and
2-inch outlets are compared, we see that the la>er will produce 4 'mes as great a volume. If
the 1-inch outlet has an 8-gallon flow, then the 2-inch outlet will have a 32-gallon flow.
Eight gallons of water per minute are flowing at a given 'me from the 1-inch outlet in the tank
shown above. What is the amount of water flowing at that 'me from the 2-inch outlet?
A) 64 gallons per minute
B) 32 gallons per minute
C) 16 gallons per minute
D) 2 gallons per minute
A) C toward the right
If nut A were removed, it would be necessary to move nut C to the right to counterbalance the
loss of the weight of nut A.
1. The arm in the figure above is exactly balanced as shown. If nut A is removed en'rely,
then, in order to rebalance the arm, it will be necessary to turn nut
A) C toward the right
B) C toward the leB
C) B up
D) B down
mechanical Exam With complete solu!on RATED A+
2025/2026 UPDATED
A)Post A
The weight is distributed more on the side of post A, Therefore, it is holding up the greatest part
of the load.
Which post holds up the greater part of the load?
A- Post A
B- Post B
C- Both equal
D- Not clear
C)Neither of the other gears
Because of the way the gears are meshed, both gear 1 and gear 3 will move in the opposite
direc'on of gear 2.
Which of the other gears is moving in the same direc'on as gear 2?
A) Gear 1
B) Gear 3
C) Neither of the other gears
D) Both of the other gears
A)A
Pulley A is the smallest gear. Therefore, it must turn faster (make more revolu'ons per minute).
In this arrangement of pulleys, which pulley turns fastest?
A) A
B) B
C) C
D) D
A)Once
,The single lobe on cam A will cause the setscrew to hit the contact point once during the cam's
revolu'on.
As cam A makes one complete turn in the figure above, the setscrew will hit the contact point
A) Once
B) Twice
C) Three Times
D) Not At All
A)21
Since gear A has 15 teeth and gear B has 10 teeth, gear A is 1.5 the size of gear B. Therefore, 14
x 1.5 = 21.
1. When gear A makes 14 revolu'ons, how many revolu'ons will gear B make?
A) 21
B) 17
C) 14
D) 9
B)Metal Spoon
Metal will feel coldest out of paper, wood, and the fabric of a blanket.
If all of the following objects are at room temperature, which will feel coldest?
A) Book
B) Metal Spoon
C) Wooden Chest
D) Blanket
C)Air pressure on top of the liquid
The siphon works, in part, because of air pressure on the top of the liquid.
In the illustra'on above, liquid is being transferred from the barrel to the bucket by
A) The vacuum at the lower end of the hose
B) The difference between the fluid volumes in the barrel and bucket
C) Air pressure on top of the liquid
D) Capillary ac'on
C)Move downward un'l it reaches the floor
, Newton's Law of Mo'on states that a body at rest will stay at rest unless acted on by an outside
force. Conversely, a body in mo'on stays in mo'on unless acted on by an outside force. In this
picture, both objects are at rest (equilibrium). When an outside force is added to weight 1, the
equilibrium changes, moving this weight downward. Because the pulley has prac'cally no
fric'on, the weight strikes the floor.
The figure above represents a pulley, with prac'cally no fric'on, from which two 10pound
weights are suspended as indicated. If a downward force is applied to weight 1, it is most likely
that weight 1 will
A) Come to rest at the present level of weight 2
B) Move downward un'l it reaches with weight 2
C) Move downward un'l it reaches the floor
D) Pass weight 2 in its downward mo'on and then return to its present posi'on
B)32 gallons per minute
The volume is dependent on the area of the outlet.
Since A= πr² and r = d/2 , then A= π(d²/4) where A is the area and d is the diameter.
The volume is propor'onal to the diameter squared (d²). When the volumes of the 1-inch and
2-inch outlets are compared, we see that the la>er will produce 4 'mes as great a volume. If
the 1-inch outlet has an 8-gallon flow, then the 2-inch outlet will have a 32-gallon flow.
Eight gallons of water per minute are flowing at a given 'me from the 1-inch outlet in the tank
shown above. What is the amount of water flowing at that 'me from the 2-inch outlet?
A) 64 gallons per minute
B) 32 gallons per minute
C) 16 gallons per minute
D) 2 gallons per minute
A) C toward the right
If nut A were removed, it would be necessary to move nut C to the right to counterbalance the
loss of the weight of nut A.
1. The arm in the figure above is exactly balanced as shown. If nut A is removed en'rely,
then, in order to rebalance the arm, it will be necessary to turn nut
A) C toward the right
B) C toward the leB
C) B up
D) B down
