Quantitative Aptitude - Arithmetic Ability Questions

Q:

A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent

A) 3400 B) 4400
C) 5400 D) 6400
 
Answer & Explanation Answer: C) 5400

Explanation:

Interest for 1 year is the same whether it's simple interest or the compound interest.

Now interest of third year = 8575 - 7350 = 1225; means principal for this interest is 7350 if comound interest is takenIf 7350 is the principal interest = 1225

if 100 is the principal interest =(1225/7350) * 100 = 50/3 %

When a thing increases for two successive times the overall increase on initial amount = a + b + (a * b)/100

Therefore overall interest for two years = 50/3 + 50/3 + [(50/3)*(50/3)]/100 = 325/9 %

Therefore amount after 2 years = 100 + 325/9 = 1225/9

If 1225/9 is the amount principal =100

if 7350 is the amount principal =(900/1225)*7350 =5400

So sum = 5400; Rate = 50/3 %

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

69 36951
Q:

A man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy?

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

Explanation:

Cost Price of 2 dozen oranges Rs. (5 + 4) = Rs. 9.
Sell price of 2 dozen oranges = Rs. 11.
If profit is Rs 2, oranges bought = 2 dozen.
If profit is Rs. 50, oranges bought = (2/2) * 50 dozens = 50 dozens.

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Filed Under: Profit and Loss

173 36840
Q:

The sum of a proper fraction and its reciprocal is 61/30. Find the fraction.

 

A) 1/3 B) 5/6
C) 3/10 D) 3/5
 
Answer & Explanation Answer: B) 5/6

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

0 36738
Q:

Select the missing number based on the given related pair of numbers.

 

158 : 384 :: 140 : ___

A) 347 B) 346
C) 348 D) 349
 
Answer & Explanation Answer: C) 348

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

9 36736
Q:

How long will a boy take to run round a square field of side 35 meters, If he runs at the rate of 9 km/hr?

A) 50 sec B) 52 sec
C) 54 sec D) 56 sec
 
Answer & Explanation Answer: D) 56 sec

Explanation:

Speed = 9 km/hr = 9 x (5/18) m/sec = 5/2 m/sec   

Distance = (35 x 4) m = 140 m.

Time taken = 140 x (2/5) sec= 56 sec

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Filed Under: Time and Distance

134 36710
Q:

A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :

A) 553681 B) 555181
C) 555681 D) 556581
 
Answer & Explanation Answer: C) 555681

Explanation:

987 = 3 * 7 * 47.
So, the required number must be divisible by each one of 3, 7, 47
553681 => (Sum of digits = 28, not divisible by 3)
555181 => (Sum of digits = 25, not divisible by 3)
555681 is divisible by each one of 3, 7, 47.

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Filed Under: Numbers

61 36681
Q:

In how many years will a sum of Rs.800 at 10% per annum compounded semi annually become Rs.926.10

A) 1.5 B) 2.5
C) 3.5 D) 4.5
 
Answer & Explanation Answer: A) 1.5

Explanation:

Let the time be 'n' years, Then

 

800×1+51002n=926.10 <=> 1+51002n=92618000<=>21202n=21103

 

n = 3/2 or n= 112 Years 

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Filed Under: Simple Interest
Exam Prep: GRE

125 36670
Q:

Which of the following represents the sides of an acute angled triangle?

 

A) 6, 9, 16   B) 7, 8, 10  
C) 5, 12, 13   D) None of these
 
Answer & Explanation Answer: B) 7, 8, 10  

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 36602