Q:

The value of 2 Tan53°Cot37°-Cot80°Tan10° ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

Explanation:
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Filed Under: Simplification
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Q:

If x2+ y2+ z2= xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x?

A) 0 B) 1
C) 5 D) 33/5
 
Answer & Explanation Answer: B) 1

Explanation:
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Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1 B) 7 : 2
C) 3√3:1   D) 5√3:1
 
Answer & Explanation Answer: A) 6√3:1

Explanation:
The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 =r1
Height of Cylinder = Height of cone = side of cube = a =h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)
Volume of sphere/volume of cone = 43πr1313πr22h = 6√3:1
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Filed Under: Volume and Surface Area
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Q:

A survey was conducted to find what genre of movies people liked the most. 1200 people answered the survey. The pie chart shows the results of that survey. The numbers in the pie chart are the ratios. Study the diagram and answer the following questions.

How many surveyed said they liked Historical movies?

A) 6 B) 72
C) 80 D) 60
 
Answer & Explanation Answer: C) 80

Explanation:
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Q:

During   the   mid   19th century   Industrial Revolution,   the   average   life   span   of workers in Manchester was

A) 17 years B) 30 years
C) 55 years D) 62 years
 
Answer & Explanation Answer: A) 17 years

Explanation:

The  Industrial  Revolution  was  the transition   to   new   manufacturing processes in the period from about 1760  to  sometime  between  1820 and  1840.  Average  life  span  of worker was 17 years.

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Q:

If x+1/x = 2, then the value of x7+2/x6  is equal to?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:
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Q:

Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of them (a), (b) or (c) is better than the underlined part, indicate your response on the Answer Sheet against the corresponding letter. If none of the substitutions imporves the sentence, indicate (d) as your response on the Answer Sheet.

Your services are dispensed for.

A) from B) with
C) off D) no improvement
 
Answer & Explanation Answer: C) off

Explanation:

‘dispensed’ should be followed by ‘off’. Dispensed off means given away, therefore the sentence means that his services are no longer needed.

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Q:

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., G can be represented by 04, 40, etc., and 'K' can be represented by 56, 75, etc. 

Similarly you have to identify the set for the word 'NILE'.

A) 56, 58, 03, 02 B) 59, 77, 85, 43
C)  56, 62, 03, 02 D)  57, 60, 10, 02 
 
Answer & Explanation Answer: B) 59, 77, 85, 43

Explanation:
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Filed Under: Coding and Decoding
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