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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 angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

A) 200(3+√3) meter B) 250(3+√3) meter
C) 150(3+√3) meter D) 160(3+√3) meter
 
Answer & Explanation Answer: C) 150(3+√3) meter

Explanation:
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The simplified value of 3-212-18 - 13 × 27 - 12 x 273 is closest to

A) (√3 - 1) B) (1 - √3)
C) - (-√3 - 1) D) - (√3 + 1)
 
Answer & Explanation Answer: D) - (√3 + 1)

Explanation:
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Q:

Three runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is

A) 36 Metres B) 48 Metres
C) 60 Metres D) 72 Metres
 
Answer & Explanation Answer: B) 48 Metres

Explanation:
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Q:

What is the effective discount (in %) on two successive discounts of 20% and 10%?

A) 30 B) 32
C) 35 D) 28
 
Answer & Explanation Answer: D) 28

Explanation:
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Q:

The ratio of angles of a triangle are 1 : 2/3 : 3. Then the smallest angle is

A) 21 4/7° B) 25°
C) 25 5/7° D) 38 4/7°
 
Answer & Explanation Answer: C) 25 5/7°

Explanation:
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Q:

If tan (5x ­- 10°) = cot (5y + 20°), then the value of x + y is

A) 15° B) 16°
C) 22.5° D) 24°
 
Answer & Explanation Answer: B) 16°

Explanation:
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Q:

The successive discount of 15%, 20% and 25% on an article is equivalent to the single discount of

A) 60% B) 47%
C) 49% D) 40%
 
Answer & Explanation Answer: C) 49%

Explanation:
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Q:

A car takes 5 hours to cover 100 kms distance at a particular speed whereas another car takes 3 hours to reach a particular distance at the same speed. Find the distance.

A) 40 km B) 60 km
C) 70 km D) 80 km
 
Answer & Explanation Answer: B) 60 km

Explanation:
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