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Q:

If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3  3abc?

A) 121 B) 168
C) 300 D) 770
 
Answer & Explanation Answer: D) 770

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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.

No sooner had he completed his first novel than he fell seriously ill.

 

A) he had completed B) could he completed
C) he completed D) No improvement
 
Answer & Explanation Answer: D) No improvement

Explanation:

'No sooner' is always followed by ‘Than’ and the verb comes before the subject. Thus, the sentence is grammatically and contextually correct. Thus, the correct formation would be, ‘No sooner had he completed his first novel than he fell seriously ill’.

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