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:

If  x = 2+3, then what is the value of 2x + 12x ?

A) 23 B) 33
C) (33+1)/2 D) 1
 
Answer & Explanation Answer: C) (33+1)/2

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0 944
Q:

If x+1x = 4, then what is the value of x6+1x6 ?

A) 52 B) 256
C) 1026 D) 2702
 
Answer & Explanation Answer: D) 2702

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0 916
Q:

If y=2-x1+x, then what is the value of 1y+1 + 2y+1y2-1 ?

A) (1+x)(2-x)2x-1 B) (1-x)(2+x)x-1
C) (1+x)(2-x)1-2x D) (1+x)(1-2x)2-x
 
Answer & Explanation Answer: C) (1+x)(2-x)1-2x

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0 912
Q:

In the triangle ABC,∠BAC = 50° and the bisectors of ∠ABC and ∠ACB meets at P. What is the value (in degrees) of ∠BPC?

A) 100 B) 105
C) 115 D) 125
 
Answer & Explanation Answer: C) 115

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1 1059
Q:

Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circlesis 40 cm, then what is the radius (in cm) of the circles?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

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0 595
Q:

In the given figure, QRN = 40°, PQR = 46° and MN is a tangent at R. What is the value (in deg) of x, y and z respectively?

A) 40, 46, 94 B) 40, 50, 90
C) 46, 54, 80 D) 50, 40, 90
 
Answer & Explanation Answer: A) 40, 46, 94

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0 1274
Q:

In ΔPQR, ∠R = 54°, the perpendicular bisector of PQ at S meets QR at T. If ∠TPR = 46°, then what is the value (in degrees) of ∠PQR?

A) 25 B) 40
C) 50 D) 60
 
Answer & Explanation Answer: B) 40

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0 974
Q:

What is the simplified value of (cotA + tan B)/(cot B + tan A)?

A) tanB cotA B) tanA cotB
C) tanA tanB D) cotA cotB
 
Answer & Explanation Answer: A) tanB cotA

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0 1073