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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.

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What is the simplified value of (cos A + sin A)(cot A + tan A)?

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If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]?

A) 3√5 B) 3√5 – 7
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Answer & Explanation Answer: B) 3√5 – 7

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If two successive discounts of 50% and 10% are offered, then what is the net discount (in %)?

A) 50 B) 55
C) 60 D) 65
 
Answer & Explanation Answer: B) 55

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If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

A) 2√3 B) √3
C) 1/√3 D) Cannot be determined
 
Answer & Explanation Answer: B) √3

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A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

A) 2 B) 2.5
C) 5 D) 10
 
Answer & Explanation Answer: B) 2.5

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Q:

How many diagonals are there in octagon?

A) 12 B) 14
C) 20 D) 24
 
Answer & Explanation Answer: C) 20

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Q:

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

A) 14 B) 14√2
C) 7 D) 7√2
 
Answer & Explanation Answer: A) 14

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Q:

In the fig. ABC is inscribed in a circle with centre O. If ∠ABC = 30° then ∠ACB is equal to

A) 30° B) 60°
C) 50° D) 90°
 
Answer & Explanation Answer: B) 60°

Explanation:
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