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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A district has 64000 inhabitants. If the population increases at the rate of 2 * 1/2 % per annum, then the number of inhabitants at the end of 3 years will be : 

A) 65380 B) 68921
C) 70987 D) 72345
 
Answer & Explanation Answer: B) 68921

Explanation:

Population afer 3 years = 64000 * (1 +  5/(2 *100) )^3 = (64000 * 41/40 * 41/40 * 41/40 ) = 68921..

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Filed Under: Percentage

57 21518
Q:

A polygon has 44 diagonals, then the number of its sides are ?

A) 13 B) 9
C) 11 D) 7
 
Answer & Explanation Answer: C) 11

Explanation:

Let the number of sides be n. 

The number of diagonals is given by nC2 - n  

Therefore, nC2 - n = 44, n>0 

nC2 - n = 44

n2 - 3n - 88 = 0 

n2 -11n + 8n - 88 = 0  

n(n - 11) + 8(n - 11) = 0 

n = -8 or n = 11.

 

As n>0, n will not be -8. Therefore, n=11.

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Filed Under: Permutations and Combinations
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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25 21464
Q:

Find the next number in the series 14, 916, 2536,......

A) 4981 B) 6481
C) 4964 D) 6449
 
Answer & Explanation Answer: C) 4964

Explanation:

The pattern is 12 22, 32 42, 52 62, 

∴The next number= 72 82= 4964

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Filed Under: Numbers
Exam Prep: CAT , Bank Exams
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45 21458
Q:

In a competitive exam, the number of passed students was four times the number of failed students. If there had been 35 fewer appeared students and 9 more had failed, the ratio of passed and failed students would have been 2 : 1, then the total number of students appered for the exam ?

A) 175 B) 165
C) 155 D) 145
 
Answer & Explanation Answer: C) 155

Explanation:

Let the number of failed students be x

=> Number of passed students = 4x 

So total number of students was 5x

From the given data,

If total number of students be 5x – 35

=> 4x-35-9/x+9 = 2/1

=> 4x – 44 = 2(x + 9)

=> 4x – 2x = 18 + 44

=> x = 31

Total number = 31×5

= 155

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Filed Under: Ratios and Proportions
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43 21437
Q:

Find the unit place digit in the expression given below:


1! + 2! + 3! + 4! + ..... + 20!

 

A) 5 B) 0
C) 3 D) 9
 
Answer & Explanation Answer: C) 3

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

2 21410
Q:

What is the measure of an exterior angle of a regular polygon of 6 sides?

 

A) 45 deg B) 60 deg
C) 40 deg D) 36 deg
 
Answer & Explanation Answer: B) 60 deg

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 21388
Q:

3 : 12 :: 5 : ?

A) 17 B) 30
C) 26 D) 32
 
Answer & Explanation Answer: B) 30

Explanation:

332 + 3 = 12552 + 5 = 30

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Filed Under: Ratios and Proportions
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80 21377
Q:

An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ?

A) 55 kms B) 35 kms
C) 25 kms D) 65 kms
 
Answer & Explanation Answer: A) 55 kms

Explanation:

Let x and y be the respective km's travelled by man via taxi and by his own car.
Given x + y = 90 => x = 90 - y
But according to the question,
7x + 6y = 595
7(90-y) + 6y = 595
=> 630 - 7y + 6y = 595
=> y = 630 - 595 = 35
=> x = 90 - 35 = 55
Therefore, the distance travelled by taxi is 55 kms.

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Filed Under: Time and Distance
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24 21358