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Mechanical - 540 UNIT 09 Algebra and Trigonometry - MCQ

126)   

What is the value of a³ − b³ when a = 4, b = 3?

A.
B.
C.
D.
Answer: C
127)   

Which of the following is a perfect square? 

A.
B.
C.
D.
Answer: A
128)   

 Simplify: (x³ + y³)/(x + y) 

A.
B.
C.
D.
Answer: B
129)   

 If x = 5 and y = 2, find the value of (x + y)² − (x − y)²

A.
B.
C.
D.
Answer: A
130)   

Find the square of (3x − 2): 

A.
B.
C.
D.
Answer: A
131)   

Simplify: (x⁴)(x³) 

A.
B.
C.
D.
Answer: A
132)   

 Evaluate: (3²)³ 

A.
B.
C.
D.
Answer: D
133)   

 If 2⁵ = x, then log₂x = ?

A.
B.
C.
D.
Answer: B
134)   

Which of the following is equal to a⁻²?

A.
B.
C.
D.
Answer: A
135)   

 Simplify: (a²b³)²

A.
B.
C.
D.
Answer: A
136)   

 If x⁰ = ?, then:

A.
B.
C.
D.
Answer: B
137)   

 (2a²b)³ = ?

A.
B.
C.
D.
Answer: A
138)   

Simplify: (x²/y³)²

A.
B.
C.
D.
Answer: A
139)   

What is the value of (1/2)⁻²?

A.
B.
C.
D.
Answer: C
140)   

 Simplify: (a³b⁻²)/(a⁻²b³)

A.
B.
C.
D.
Answer: B
141)   

 In a right-angled triangle, the side opposite to the angle θ is called:

A.
B.
C.
D.
Answer: C
142)   

 In a right triangle, hypotenuse² = base² + height². This is: 

A.
B.
C.
D.
Answer: B
143)   

A ladder 10 m long leans against a wall making 60° with the ground. Height reached on the wall = ? 

A.
B.
C.
D.
Answer: B
144)   

A man observes the top of a tower at 30° angle of elevation from a point 100 m away. Height of the tower is: 

A.
B.
C.
D.
Answer: B
145)   

 If height = 100 m and angle of elevation is 45°, the distance from the object = ?

A.
B.
C.
D.
Answer: A
146)   

The angle of depression is measured:

A.
B.
C.
D.
Answer: B
147)   

A 15 m pole casts a 15 m shadow. The sun’s angle of elevation is:

A.
B.
C.
D.
Answer: C
148)   

 Which function is used to calculate height from base and angle?

A.
B.
C.
D.
Answer: C
149)   

Which trigonometric ratio is height/hypotenuse? 

A.
B.
C.
D.
Answer: A
150)   

 If angle of elevation = 30° and distance = 100 m, height = ? 

A.
B.
C.
D.
Answer: D