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 D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC= (x – 2) cm, then what is the value (in cm) of x?

A) 3 B) 3.5
C) 4 D) 4.5
 
Answer & Explanation Answer: D) 4.5

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0 705
Q:

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

A) 169 B) 169√3
C) 393 D) 507
 
Answer & Explanation Answer: C) 393

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0 1111
Q:

What is the difference of the factors of the expression x2 + (1/x2) – 6?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: D) 4

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0 766
Q:

If (x - 13)2 + (y - 4)2 = 0, then the value of y + xy - x ?

A) 11/13 B) 13/11
C) 16/9 D) 9/16
 
Answer & Explanation Answer: B) 13/11

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0 777
Q:

If the angle subtended by the radius of the circle and vertex B of the triangle ABC is 400. Then calculate the value of BAC

A) 350 B) 450
C) 500 D) 650
 
Answer & Explanation Answer: C) 500

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0 1139
Q:

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?

A) 76 B) 100
C) 294 D) 318
 
Answer & Explanation Answer: B) 100

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0 893
Q:

Calculate the distance (in cm) of the chord from the centre of the circle, if the chord of length 48 cm is drawn in the circle of radius 25 cm.

A) 7 B) 14
C) 49 D) 56
 
Answer & Explanation Answer: A) 7

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0 553
Q:

If x2+1x2-6, then find the value of 2x(x-1)x3-x2-x+1

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

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0 869