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 the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, the compound interest on the same at the same rate and for the same time is:­

A) Rs. 50.50 B) Rs. 51.25
C) Rs. 51.50 D) Rs. 50.05
 
Answer & Explanation Answer: B) Rs. 51.25

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0 701
Q:

If the length of the shadow of a vertical pole be √3 times the height of the pole, the angle of elevation of the sun is:­

A) 60° B) 45°
C) 30° D) 90°
 
Answer & Explanation Answer: C) 30°

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0 814
Q:

ABC inscribed in a circle so that BC is a diameter. The tangent at a point C intersects BA when produced at a point D. If ABC=36° then the value of ADC is 

A) 36° B) 44°
C) 48° D) 54°
 
Answer & Explanation Answer: D) 54°

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0 1043
Q:

ΔABC is similar to ΔDEF. If the ratio of similar sides is K:1, the ratio of their areas is

A) k2:1 B) 2k:1
C) k22:1 D) 2k2:1
 
Answer & Explanation Answer: A) k2:1

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0 633
Q:

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2), then the value of k is

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

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0 857
Q:

If a+b+c=15 and 1a+1b+1c=71abc, then the a3+b3+c3-3abc is

A) 160 B) 180
C) 200 D) 220
 
Answer & Explanation Answer: B) 180

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0 740
Q:

Eight members of a club donate Rs. 100 each towards a Relief Fund and the President of the club donates Rs. 50 more than the average donation of all (including President) of them. Then the contribution of the president is

A) 106.25 B) 156.25
C) 56.25 D) 206.25
 
Answer & Explanation Answer: A) 106.25

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6 1757
Q:

When n is divided by 4, the remainder is 3. The remainder when 2n is divided by 4 is:

A) 1 B) 2
C) 3 D) 6
 
Answer & Explanation Answer: B) 2

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0 625