1
Q:

For any two real numbers a and b.

a-b2+b-a2 is

A) always zero B) never zero
C) positive only if a ≠ b D) positive if an only if a > b

Answer:   C) positive only if a ≠ b



Explanation:
Q:

In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is

A) 38° B) 32°
C) 25° D) 29°
 
Answer & Explanation Answer: A) 38°

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0 913
Q:

The centroid of a triangle is the point where

A) the medians meet B) the altitudes meet
C) the right bisectors of the sides of the triangle meet D) the bisectors of the angles of the triangle meet
 
Answer & Explanation Answer: A) the medians meet

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0 557
Q:

If 2pp2-2p+1 = 14, then the value of (p + 1/p) will be

A) 8 B) 10
C) 12 D) None of these
 
Answer & Explanation Answer: B) 10

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0 816
Q:

If sin8 θ + cos8 θ  1 = 0, then what is the value of cos2 θ sin2 θ (If θ ≠ 0 or π/2)?

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

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0 860
Q:

What is the simplified value of [(sec3x  tan3x)/(sec x  tan x)]  2 tan2x  sec x tan x?

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

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0 1019
Q:

What is the simplified value of tan (θ/2) + cot (θ/2)?

A) 2 cosec θ B) 2 sec θ
C) sin θ D) cosec θ
 
Answer & Explanation Answer: A) 2 cosec θ

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0 879
Q:

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

A) 154 B) 256
C) 308 D) 616
 
Answer & Explanation Answer: C) 308

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0 735
Q:

If medians of a triangle have lengths 18 cm, 24 cm and 30 cm, then what is the area (in sq.cm) of the triangle?

A) 24√6 B) 244
C) 288 D) 360
 
Answer & Explanation Answer: C) 288

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2 1178