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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:

A and B entered into a partnership with Rs.800 and Rs.1600 respectively. From 9th months onward they each decided to invest Rs.100 more on starting of each month. If total annual profit is Rs.7700 then find the profit share of A.

A) Rs.2550 B) Rs.3200
C) Rs.2650 D) Rs.2450
 
Answer & Explanation Answer: C) Rs.2650

Explanation:

A : B = (800 × 8+ 900+ 1000+ 1100+ 1200): (1600 × 8+ 1700+ 1800+ 1900+ 2000)
A : B = 53 : 101
Profit of A ⇒ 7700 ×53/154 = 2650 Rs.

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0 2188
Q:

A starts a business, after 6 months B also join him with Rs.4500 and after 2 months of B’s joining C also join them with Rs.4500. If A gets approx. Rs 4900 out of total annual profit of Rs. 10,000 then find the approximate value of initial investment of A.

A) Rs.4800 B) Rs.4200
C) Rs.3600 D) Rs.4400
 
Answer & Explanation Answer: C) Rs.3600

Explanation:

Let initial investment of A = x
Ratio of profit A : B : C = 12 × x : 6×4500 :4×4500
A :B:C = x : 2250: 1500
Now ATQx/(x+2250+1500) = 4900/10000
solving this we get,x ≈ Rs 3600

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1 1964
Q:

The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is :

A) 1:1 B) 3√4:1
C) 3√3:3√2 D) 3√4:3√3
 
Answer & Explanation Answer: D) 3√4:3√3

Explanation:
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0 828
Q:

If the angle of elevation of the top of a pillar from the ground level is raised from 30° to 60°, the length of the shadow of a pillar of height 503 will be decreased by

A) 60 m B) 75 m
C) 100 m D) 50 m
 
Answer & Explanation Answer: C) 100 m

Explanation:
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0 1051
Q:

The difference between the compound interest and the simple interest on Rs. 6250 at 8% per annum in 2 years is

A) Rs.30 B) Rs.40
C) Rs.50 D) Rs.60
 
Answer & Explanation Answer: B) Rs.40

Explanation:
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1 4025
Q:

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

A) 2:2 B) 3:2
C) 3.5:2 D) 7:2
 
Answer & Explanation Answer: C) 3.5:2

Explanation:
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0 1034
Q:

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

A) 2:2 B) 3:2
C) 3.5:2 D) 7:2
 
Answer & Explanation Answer: C) 3.5:2

Explanation:
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0 922
Q:

The sum of two angles of a triangle is 116o and their difference is 24o . The measure of smallest angle of the triangle is

A) 38° B) 28°
C) 46° D) 64°
 
Answer & Explanation Answer: C) 46°

Explanation:
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0 1106