Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually

A) 2109 B) 3109
C) 4109 D) 6109
 
Answer & Explanation Answer: B) 3109

Explanation:

Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.
Amount = Rs'. [8000 X (1+(15/100))^2 X (1+((1/3)*15)/100)]
=Rs. [8000 * (23/20) * (23/20) * (21/20)]
= Rs. 11109. .
:. C.I. = Rs. (11109 - 8000) = Rs. 3109.

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Filed Under: Compound Interest
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Q:

The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 kms B) 482 kms
C) 552 kms D) 556 kms
 
Answer & Explanation Answer: C) 552 kms

Explanation:

Total distance travelled in 12 hours    =(35+37+39+.....upto 12 terms)
This is an A.P with first term, a=35, number of terms,
n= 12,d=2.
Required distance    = 12/2[2 x 35+{12-1) x 2]
=6(70+23)
= 552 kms.

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Q:

What will be the compound interest earned on an amount of Rs. 5000 in 2 years?

I. The simple interest on the same amount at the same rate of interest in 5 years is Rs.2000.

II. The compound interest and the simple interest earned in one year is the same.

III. The amount becomed more than double on compound interest in 10 years.

A) I only B) .I and II only
C) II and III only D) I and III only
 
Answer & Explanation Answer:

Explanation:
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Q:

Find the odd man out of the number series?

18, 37, 76, 155, 314, 635

A) 37 B) 155
C) 314 D) 635
 
Answer & Explanation Answer: D) 635

Explanation:

Given Number series is 18     37     76     155     314     635

 

follows a pattern that, 

 

18

 

18 x 2 +1 = 37

 

37 x 2 +2 = 76

 

76 x 2 +3 = 155

 

155 x 2 +4 = 314

 

314 x 2 +5 = 633 not 635

 

 

 

Hence, the odd man is 635.

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Filed Under: Odd Man Out
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7 62959
Q:

Which of the following value of 'x' satisfies the equation 

4x-1.92x-6 = 5184

 

A) 2 B) 3
C) 4 D) 6
 
Answer & Explanation Answer: C) 4

Explanation:
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Filed Under: Simplification
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Q:

If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?

A) 1 B) 3
C) 7 D) 14
 
Answer & Explanation Answer: C) 7

Explanation:

Let the required number days be x.

Less spiders, More days (Indirect Proportion)

Less webs, Less days (Direct Proportion)

 Spiders1:7Webs7:1 7:x 

=> 1 * 7 * x = 7 * 1 * 7 

=> x= 7

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Q:

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A) 16 B) 18
C) 20 D) 22
 
Answer & Explanation Answer: B) 18

Explanation:

2l+bb=51      => 2l + 2b = 5b     => 3b = 2l 

b=(2/3)l

 

Then, Area = 216 cm2 

=> l x b = 216     => l x (2/3)l =216 

l = 18 cm.

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50 62542
Q:

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5 B) 11.5
C) 12.5 D) 13.5
 
Answer & Explanation Answer: B) 11.5

Explanation:

Middle numbers  =  [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

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Filed Under: Average

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