0
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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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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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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What is the difference of the factors of the expression x2 + (1/x2) – 6?

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C) 2 D) 4
 
Answer & Explanation Answer: D) 4

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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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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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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
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Answer & Explanation Answer: B) 100

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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.

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Answer & Explanation Answer: A) 7

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