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Q:

What is the simplified value of cosec Acot A + tan A2 ?

A) 2cos 2A B) 1 – sin2 A
C) sec2A D) secA tanA
 
Answer & Explanation Answer: B) 1 – sin2 A

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Filed Under: Simplification
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Q:

If x = 1 – y and x2 = 2  y2, then what is the value of xy?

A) 1 B) 2
C) -1/2 D) -1
 
Answer & Explanation Answer: C) -1/2

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Q:

If x4 + (1/x4) = 34, then what is the value of x3  (1/x3)?

A) 0 B) 6
C) 8 D) 14
 
Answer & Explanation Answer: D) 14

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Q:

If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3  3xyz?

A) 81 B) 361
C) 729 D) 6561
 
Answer & Explanation Answer: C) 729

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Q:

If (2)#* 4 = 2 and (4)#* 4 = 16, then what is the value of A in (6)#* A = 18?

A) 12 B) 14
C) 16 D) 20
 
Answer & Explanation Answer: A) 12

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Filed Under: Mathematical Operations
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Q:

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.


P- The aim must be to ensure that our country does not experience either paucity or a-surfeit of trained manpower in any specific segment of our economy.
Q- When we set about the task of higher education, we should be absolutely clear in our perception of the goals of education in the specific context of our nation’s
development.
R- No doubt, one of the important aims of education would be to create the required range and nature of trained manpower assessed to be needed by different
sectors of national growth.
S- The entire educational apparatus must be geared progressively to fulfill the requirements of different phases of our growth in every sector primary, secondary and
tertiary.

A) SQPR B) QRSP
C) SRQP D) PSQR
 
Answer & Explanation Answer: B) QRSP

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Filed Under: English
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Q:

If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C  3sin A cos B tan C?

A) 0 B) 1
C) 8 D) 9
 
Answer & Explanation Answer: A) 0

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Q:

If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?

A) 1/5 B) 5
C) 25 D) 60
 
Answer & Explanation Answer: B) 5

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