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 tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

A) 22 B) 23
C) 24 D) 25
 
Answer & Explanation Answer: B) 23

Explanation:
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Q:

In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is

A) 38° B) 32°
C) 25° D) 29°
 
Answer & Explanation Answer: A) 38°

Explanation:
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Q:

The centroid of a triangle is the point where

A) the medians meet B) the altitudes meet
C) the right bisectors of the sides of the triangle meet D) the bisectors of the angles of the triangle meet
 
Answer & Explanation Answer: A) the medians meet

Explanation:
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Q:

If 2pp2-2p+1 = 14, then the value of (p + 1/p) will be

A) 8 B) 10
C) 12 D) None of these
 
Answer & Explanation Answer: B) 10

Explanation:
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Q:

If sin8 θ + cos8 θ  1 = 0, then what is the value of cos2 θ sin2 θ (If θ ≠ 0 or π/2)?

A) -1 B) 0
C) 1 D) 2
 
Answer & Explanation Answer: D) 2

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Q:

What is the simplified value of [(sec3x  tan3x)/(sec x  tan x)]  2 tan2x  sec x tan x?

A) 0 B) 2
C) -1 D) 1
 
Answer & Explanation Answer: D) 1

Explanation:
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0 1021
Q:

What is the simplified value of tan (θ/2) + cot (θ/2)?

A) 2 cosec θ B) 2 sec θ
C) sin θ D) cosec θ
 
Answer & Explanation Answer: A) 2 cosec θ

Explanation:
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0 886
Q:

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

A) 154 B) 256
C) 308 D) 616
 
Answer & Explanation Answer: C) 308

Explanation:
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