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Q:

What is the compound interest earned at the end of 3 years?

I. Simple interest earned on that amount at the same rate and for the same period is Rs. 4500.

II.The rate of interest is 10 p.c.p.a.

III.Compound interest for 3 years is more than the simple interest for that period by Rs.465.

A) I and II only B) II and III only
C) I and III only D) Either II or III only

Answer:   D) Either II or III only



Explanation:

 

 

 

 

 

 

I. gives, S.I for 3 years = Rs. 4500.

 

 

 

II. gives, Rate = 10% p.a.

 

 

 

III. gives, (C.I.) - (S.I.) = Rs. 465.

 

 

 

Clearly, using I and III we get C.I. = Rs. (465 + 4500).

 

 

 

Thus, II is redundant.

 

 

 

Also, from I and II, we get sum =

 

 

 

100 x 4500

 

 

 

= 15000.

 

 

 

10 x 3

 

 

 

Now C.I. on Rs. 15000 at 10% p.a. for 3 years may be obtained.

 

 

 

Thus, III is redundant.

 

 

 

Either II or III is redundant.

Q:

If r sinθ=3 and r cosθ=1, then the values of r and θ are: (0°θ90°)

A) r=1, θ=30° B) r=1⁄2, θ=30°
C) r=3 , θ=30° D) r=2, θ=60°
 
Answer & Explanation Answer: D) r=2, θ=60°

Explanation:
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0 776
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

Explanation:
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0 709
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°

Explanation:
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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°

Explanation:
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0 1054
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

Explanation:
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0 636
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

Explanation:
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0 868
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

Explanation:
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0 754
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

Explanation:
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6 1771