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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:

The amount of Rs. 10,000 after 2 years, compounded annually with the rate of interest being 10% per annum during the first year and 12% per annum during the second year, would be (in rupees)

A) 11,320 B) 12,000
C) 12,320 D) 12,500
 
Answer & Explanation Answer: C) 12,320

Explanation:
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The height of a tower is 50√3 m. The angle of elevation of a tower from a distance 50 m from its feet is

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

Explanation:
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Q:

ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is

A) 12 sq cm B) 3 sq cm
C) 6 sq cm D) 5 sq cm
 
Answer & Explanation Answer: C) 6 sq cm

Explanation:
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The side BC of the ΔABC is extended to the point D. If ∠ ACD = 112° and ∠B = 3/4 ∠A, then the value of ∠B is

A) 64° B) 48°
C) 46° D) 50°
 
Answer & Explanation Answer: B) 48°

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If x4+1x4=119, then the value of x-1x is

A) 6 B) 12
C) 11 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:
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Q:

The value of -3+3+87+43 is

A) 2 B) 4
C) ±2 D) -2
 
Answer & Explanation Answer: A) 2

Explanation:
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Q:

A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is

A) 60 B) 55
C) 65 D) 70
 
Answer & Explanation Answer: C) 65

Explanation:
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Q:

If a perfect square, not divisible by 6, be divided by 6, the remainder will be

A) 1, 3 or 5 B) 1, 2 or 5
C) 1, 3 or 4 D) 1, 2 or 4
 
Answer & Explanation Answer: C) 1, 3 or 4

Explanation:
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