Searching for "angle"

Q:

What is the number of rectangles in the following figure?

A) 6 B) 7
C) 9 D) 11
 
Answer & Explanation Answer: C) 9

Explanation:

The simplest rectangles are AEHG, EFJH, FBKJ, JKCL and GILD i.e 5 in number.

The rectangles composed of two components each are AFJG and FBCL i.e 2 in number

Only one rectangle namely AFLD is composed of three components and only one rectangle namely ABCD is composed of five components.

Thus, there are 5 + 2 + 1 + 1 = 9 rectangles in the given figure.

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Filed Under: Analytical Reasoning

Q:

In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is 

A) 20 B) 160
C) 164 D) 220
 
Answer & Explanation Answer: C) 164

Explanation:

For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear.

 

If all these 8 points are different we get 8C3 triangles as they are collinear.

 

In 12C3 triangles, we do not get 8C3 triangles

 

Therefore, The number of triangles we get = 12C3-8C3 = 164

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Filed Under: Permutations and Combinations
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Q:

The triple constraints of Project Management are frequently discussed in other contextx such as marketing classes and a variety of other subjects. The interaction between _____, ______, and _______can be seen as a triangle, with the three sides impacting the others.

A) quality, resources, time B) money, resources, quality
C) scope, quality, planning D) time, scope, cost
 
Answer & Explanation Answer: D) time, scope, cost

Explanation:

Scope, quality, and cost are the triple constraints. Quality is a function of these three areas and can impact them; however it is not considered one of the components of the triple constraint. Therefore, Answer A, B, and C are incorect.

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Filed Under: PMP Certification

Q:

What is seismic zone extending at an angle of about 45o from the base of an ocean trench, down through lithosphere to the asthenosphere known as?

A) Appleton layer B) Benioff zone
C) Conard discontinuity D) Convergence zone
 
Answer & Explanation Answer: B) Benioff zone

Explanation:
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Filed Under: World Geography

Q:

When a ray of light is  refracted by a prism such that the angle of deviation is minimum then

A) the angle of emergence is equal to the angle of incidence B) the angle of emergence is greater than the angle of incidence
C) the angle of emergence is smaller than the angle of incidence D) the sum of the angle of incidence and the angle of emergence is equal to 90 degrees
 
Answer & Explanation Answer: A) the angle of emergence is equal to the angle of incidence

Explanation:
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Filed Under: Physics

Q:

A projectile launched at____ degree angle has the greatest range?

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Subject: Physics

Q:

The angle between the minute hand and the hour hand of a clock when the time is 8:30  

A) 80 Degrees B) 75 Degrees
C) 60 Degrees D) 105 Degrees
 
Answer & Explanation Answer: B) 75 Degrees

Explanation:

Angle traced by hour hand in 17/2 hrs = 36012×172o = 255 

 

Angle traced by min hand in 30 min = 36060×30o = 180 

 

Therefore,  Required angle = (255 - 180) = 75o

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Filed Under: Clocks

Q:

An observer 1.6 m tall is 203away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A) 21.6 m B) 23.2 m
C) 24.72 m D) None of these
 
Answer & Explanation Answer: A) 21.6 m

Explanation:

 

 

 

 Draw BE // CD

 

Then, CE = AB = 1.6 m,

 

BE = AC =

 DEtan30=> DE = tan30 x 203=> DE = 13x203 = 20

 

Therefore, CD = CE + DE = (1.6 + 20) m = 21.6 m.

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Filed Under: Height and Distance
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