Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the simple interest charged on borrowing $325 for 5 years at 3% p.a. (per annum or per year) interest.

A) 59 B) 46
C) 48.75 D) 34.75
 
Answer & Explanation Answer: C) 48.75

Explanation:

I= PTR100

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Filed Under: Simple Interest
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Q:

Find the number of ways to take 4 people and place them in groups of 3 at a time where order does not matter?

A) 4 B) 12
C) 36 D) 16
 
Answer & Explanation Answer: A) 4

Explanation:

Since order does not matter, use the combination formula 

C34 = 24/6 = 4

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Q:

Out of 3 girls and 6 boys a group of three members is to be formed in such a way that at least one member is a girl. In how many different ways can it be done?

A) 64 B) 84
C) 56 D) 20
 
Answer & Explanation Answer: A) 64

Explanation:

Total number of possible ways = 9C3 = 84 ways

Required atleast one girl in the group of three = total possible ways - ways in which none is girl

None of the members in the group is girl = 6C3 = 20

 

Therefore, number of ways that at least one member is a girl in the group of three

= 84 - 20

= 64 ways.

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Find the average of first 20 multiples of 9.

 

A) 94.8 B) 94.7
C) 94.6 D) 94.5
 
Answer & Explanation Answer: D) 94.5

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If a2 + 1a2 = 3, then a3 + 1a3 = ?

 

A) 3√5 B) 2√5
C) 2√3 D) 3√3
 
Answer & Explanation Answer: B) 2√5

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A) 40 sec B) 47 sec
C) 33 sec D) None of these
 
Answer & Explanation Answer: C) 33 sec

Explanation:

B runs 35 m in 7 sec.

 

 B covers 200 m in (7/35*200) = 40sec

 

B's time over the course = 40 sec.

 

 A's time over the course (40 - 7) sec = 33 sec.

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Filed Under: Races and Games

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Q:

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A) 48 B) 52
C) 38 D) 42
 
Answer & Explanation Answer: A) 48

Explanation:

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = 800x1860x5= 48 sec.

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Filed Under: Time and Distance
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Q:

How many more words can be formed by using the letters of the given word 'CREATIVITY'?

A) 851250 B) 751210
C) 362880 D) 907200
 
Answer & Explanation Answer: D) 907200

Explanation:

The number of letters in the given word CREATIVITY = 10

 

Here T & I letters are repeated

 

=> Number of Words that can be formed from CREATIVITY = 10!/2!x2! = 3628800/4 = 907200

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Filed Under: Permutations and Combinations
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