Two points P and Q are at the distance of x and y (where y

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Question
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?
Options
A. xy
B. ?( y/ x)
C. ?( x/ y)
D. ?( xy)

Correct Answer

?( xy)

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1. What is the value of [tan2 (90 ? ?) ? sin2 (90 ? ?)] cosec2 (90 ? ?) cot2 (90 ? ?)?
Options
A. 0
B. 1
C. -1
D. 2

Discuss

Correct Answer: 1

2. What is the value of cos [(180 ? ?)/2] cos [(180 ? 9?)/2] + sin [(180 ? 3?)/2] sin [(180 ? 13?)/2]?
Options
A. sin 2? sin 4?
B. cos 2? cos 6?
C. sin 2? sin 6?
D. cos 2? cos 4?

Discuss

Correct Answer: cos 2? cos 6?

3. What is the value of sin (B ? C) cos (A ? D) + sin (A ? B) cos (C ? D) + sin (C ? A) cos (B ? D)?
Options
A. 3/2
B. ? 3
C. 1
D. 0

Discuss

Correct Answer: 0

4. What is the value of (4/3) cot2 (p/6) + 3 cos2 (150) ? 4 cosec2 45 + 8 sin (p/2)?
Options
A. 25/4
B. 1
C. ? 7/2
D. 13/2

Discuss

Correct Answer: 25/4

5. What is the value of [(tan 5? + tan 3?)/4 cos 4? (tan 5? ? tan 3?)]?
Options
A. sin 2?
B. cos 2?
C. tan 4?
D. cot 2?

Discuss

Correct Answer: cos 2?

6. What is the value of 4cos90-A sin390+A - 4sin90+A cos390-Acos180+8A2 ?
Options
A. 1
B. -1
C. 0
D. 2

Discuss

Correct Answer: -1

7. The cube root of .000216 is:
Options
A. .6
B. .06
C. 77
D. 87

Discuss

Correct Answer: .06

Explanation:

${(. 000216)}^{\frac{1}{3}} = {(\frac{216}{10^{6}})}^{\frac{1}{3}} = {[\frac{6 * 6 * 6}{10^{2} * 10^{2} * 10^{2}}]}^{\frac{1}{3}} = [\frac{6}{10^{2}}] = 0.06$

8. If x = 7-43 then find the value of x+1x?
Options
A. 3sqrt{3}
B. 8sqrt{3}
C. 14
D. 14+8sqrt{3}

Discuss

Correct Answer: 14

9. If 0.00000676=0.0026 then 6760000 is:
Options
A. 2.6
B. 26
C. 260
D. 2600

Discuss

Correct Answer: 2600

Explanation:

$\sqrt{6760000} = \sqrt{0.00000676 � 10^{2}} = \sqrt{0.00000676} � \sqrt{10^{2}} = 0.0026 � 10^{6} = 2600$

10. A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:
Options
A. 57
B. 67
C. 77
D. 87

Discuss

Correct Answer: 77

Explanation:

Money collected = (59.29 x 100) paise = 5929 paise.

Number of members = $\sqrt{5929}$ = 77.

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Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

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