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Q:

If sin 3θ sec 2θ = 1, then what is the value of [3 tan2(5θ/2)  1]?

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

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Q:

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

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

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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

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Q:

If x – 3 + [1/(x – 3)] = 4, what is the value of [(x  3)3+ [1/(x  3)3]?

A) 14 B) 18
C) 52 D) 76
 
Answer & Explanation Answer: C) 52

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Q:

If x/y = 4/9, then what is the value of (7x2  19xy + 11y2)/y2 ?

A) 59/81 B) 100/27
C) 319/81 D) 913/81
 
Answer & Explanation Answer: C) 319/81

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Q:

If x(2x + 3) = 90 and 7y-1/2+ 2y-1/2= y1/2 (x and y are positive numbers), then what is the value of x2+ y2?

A) 45 B) 109
C) 117 D) 126
 
Answer & Explanation Answer: C) 117

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Q:

Improve the given sentence if necessary.

My brother is looking forward to meeting his employer tomorrow.

A) to meet B) for meeting
C) that he may meet D) No improvement
 
Answer & Explanation Answer: D) No improvement

Explanation:

The sentence is grammatically and contextually correct. This is because, the verb, ‘to look forward to’ means toanticipate. It requires a direct object and it will be the gerund form of the verb i.e. ‘meeting’. Thus, the correct formation would be, ‘My brother is looking forward to meeting his employer tomorrow’.

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Q:

In the following items, each passage consists of six sentences. The first and the sixth sentence are given in the beginning as S1 and S6. The middle four sentences in each have been removed and jumbled up. These are labeled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet.

S1 :A single device can heat fluids without requiring an electrical element.
S6:Because there is no electrical element, there is no risk of fire, so the system is suitable for dangerous environments.
P:A heat exchanger transfers heat from the central cavity to an air heater, a water heater or an industrial processor.
Q:It has a container like the crank case of a car’s engine, which contains the fluid to be heated.
R:Compression and friction at the nozzles heat the fluid so that the temperature in the central cavity rises steadily.
S:A motor and pulley insidethe container turn a rotor wheel, which in turn forces the fluid again and again through narrow nozzles into a central cavity.

The proper sequence should be 

A) R P S Q B) S P Q R
C) Q S R P D) S R P Q
 
Answer & Explanation Answer: C) Q S R P

Explanation:

The starting statement is talking about a device which can heat fluid without electrical element. The continuing statement would be talking about the shape of the device i.e. the container which contains the fluid. Thus, Q will be the connecting statement. So, Q being the first statement eliminates all other options. Thus, the correct sequence is QSRP.

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