Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the principal which yields $25,000 when invested at 3% annually for 20 years.

A) 13841.89 B) 14821
C) 13468 D) 57389
 
Answer & Explanation Answer: A) 13841.89

Explanation:

P=F1+in

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Filed Under: Simple Interest
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Q:

What is the probability that a number is divisible by 4?

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

Explanation:

Probability is Number of favourable outcomes by total outcomes

Total comes = 2 (Divisible or not)

Favourable = 1 (Divisible)

 

Hence, probability = 1/2.

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Filed Under: Probability
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Q:

Three athletes can complete one round around a circular field in 16, 24 and 36 min respectively. They start running together at same instant then after how much time they will meet to each other for first time ?

A) 2 hrs 24 min B) 2 hrs 44 min
C) 1 hrs 24 min D) 1 hrs 24 min
 
Answer & Explanation Answer: A) 2 hrs 24 min

Explanation:

Given that three athletes can complete one round around a circular field in 16, 24 and 36 min respectively.

Now, required time after which they met for the first time = LCM of (16, 24 & 36) min

Now, LCM of 16, 24, 36 = 144 minutes = 2 hrs 24 min.

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Filed Under: Time and Work
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Q:

A boat covers 63 km upstream in 9 hours and covers the same distance downstream in 7 hours . What is the speed (in km/ hr) of the boat in still water?

A) 8.7 B) 8.5
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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Filed Under: Boats and Streams

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Q:

A box contains 2 blue balls, 3 green balls and 4 yellow balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?

A) 48 B) 24
C) 64 D) 32
 
Answer & Explanation Answer: C) 64

Explanation:

Total number of balls = 2 + 3 + 4 = 9

Total number of ways 3 balls can be drawn from 9 = 9C3

No green ball is drawn = 9 - 3 = 6 = 6C3

Required number of ways if atleast one green ball is to be included = Total number of ways - No green ball is drawn

= 9C3 - 6C3

= 9x8x7/3x2  -  6x5x4/3x2

= 84 - 20

= 64 ways.

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Filed Under: Permutations and Combinations
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Q:

If there are 17 randomly placed dots on a circle,how many lines can you form using any 2 dots?

A) 126 B) 130
C) 136 D) 120
 
Answer & Explanation Answer: C) 136

Explanation:

17C2 = 136 (combination)

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Q:

1.52 x 0.0225 = ?

A) 0.0375 B) 0.3375
C) 3.275 D) 32.75
 
Answer & Explanation Answer: B) 0.3375

Explanation:
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Q:

If there is a total of 104 weekly instalments and a thirddeposit, find the interest charged

A) 237.55 B) 337
C) 443 D) 334
 
Answer & Explanation Answer: A) 237.55

Explanation:

Cash price = $3695

Deposit =1/3 of $3695 = $1231.67

Loan amount = $3695.00 − $1231.67 = $2463.33

Total cost of loan = $25.97 × 104= $2700.88

 

Interest charged = total amount − loan
I = A − P
= 2700.88 − 2463.33
= 237.55

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Filed Under: Simple Interest
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