34) From the top of a tower 60 meters high, the angle of depression of an object is 60°, then the distance of the object from the base of the tower is:
A) \( \frac{60}{\sqrt{3}} \, m \)
B) \( 60\sqrt{3} \, m \)
C) \( 60 \, m \)
D) \( 30\sqrt{3} \, m \)
View Answer
A) \( \frac{60}{\sqrt{3}} \, m \)
Explanation:tan60° = \( \frac{60}{d} \)
⇒ d = \( \frac{60}{\sqrt{3}} \)
35) The angle of elevation of the top of a building from a point 10 meters away from the base is 60°, then the height of the building is:
A) \( \frac{10}{\sqrt{3}} \, m \)
B) \( 10\sqrt{3} \, m \)
C) \( 10 \, m \)
D) \( \frac{10}{3} \, m \)
View Answer
B) \( 10\sqrt{3} \, m \)
Explanation:tan60° = \( \frac{h}{10} \)
⇒ h = 10√3
36) \( 5 + \sqrt{7} \) is:
A) an irrational number
B) a rational number
C) an integer
D) a whole number
View Answer
A) an irrational number
Explanation:5 + √7 is irrational
37) If \( x, y, z \) are distinct prime numbers, then the H.C.F. of \( x^2 y^3 z \) and \( x^3 y z^2 \) is:
A) \( x^2 y z \)
B) \( x y z^2 \)
C) \( x^3 y^3 z^3 \)
D) \( x^2 y^2 z^2 \)
View Answer
A) \( x^2 y z \)
Explanation:HCF = x²yz
38) The value of \( \log_3 81 \) is:
A) 2
B) 3
C) 4
D) 5
View Answer
C) 4
Explanation:log₃81 = 4
39) What is the median of 18, 14, 6, 7, 8?
A) 7
B) 8
C) 6
D) 14
View Answer
B) 8
Explanation:Arrange: 6, 7, 8, 14, 18
⇒ median = 8
40) If the mean of \( x, y, 3, 4 \) is 5, then \( x + y = ? \)
A) 8
B) 13
C) 15
D) 9
View Answer
B) 13
Explanation:Mean = \( \frac{x + y + 7}{4} = 5 \)
⇒ x + y = 13
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