Quantitative Aptitude - Arithmetic Ability Questions

Q:

The calendar of year 1989 was same as which year?

A) 1978 B) 1970
C) 1980 D) 1985
 
Answer & Explanation Answer: A) 1978

Explanation:

 

Given year 1989, when divided by 4 leaves a remainder of 1.

NOTE: When remainder is 1, 11 is subtracted to the given year to get the result.

So, 1989 - 11 = 1978

 

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Filed Under: Calendar

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Q:

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is

A) 6.06% B) 6.07%
C) 6.08% D) 6.09%
 
Answer & Explanation Answer: D) 6.09%

Explanation:

Amount of Rs. 100 for 1 year

when compounded half-yearly = Rs.[100*(1+3/100)^2]=Rs.106.09

Effective rate=(106.09-100)%=6.09%

 

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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Q:

An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ?

A) 1124 B) 1420
C) 1345 D) 1250
 
Answer & Explanation Answer: D) 1250

Explanation:

Let initially 'X' ticket has been sold.
So now in 2nd week 20% increases, so
=> X x 120/100
In 3rd week 16% increases, so
=> X x (120/100) x (116/100)
In 4th week 20% decrease, so
=> X x (120/100) x (116/100) x (80/100) = 1392
X = 1250.

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

What should come in place of x in the following equation?

 x128 = 162x

A) 13 B) 12
C) 17 D) 16
 
Answer & Explanation Answer: B) 12

Explanation:

x128 = 162x

 

Then x2 = 162x128

  

   = Sqrt of 82 x 62 x 32

 

   = 8 x 6 x 3

 

   x2  = 144.

 

 x  = 12.

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Filed Under: Square Roots and Cube Roots
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Q:

On 24th Nov, 2007 Thursday falls. What day of the week was it on 10th Nov, 2006 ?

A) Wednesday B) Tuesday
C) Friday D) Thursday
 
Answer & Explanation Answer: A) Wednesday

Explanation:

The year 2006 is an ordinary year. So, it has 1 odd day.
So, the day on 24th Nov, 2007 will be 1 day beyond the day on 24th Nov, 2006.
But, 24th Nov, 2007 is Thursday.
24 - 10 = 14 days.
Therefore, 2 weeks ago it is same day.
Thus, 10th Nov, 2006 is one day before 10th Nov, 2007 i.e. it is Wednesday.

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Filed Under: Calendar
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Q:

A women goes to market with Rs.500 to buy oranges.the prices of the oranges have decreased by 10% so he could buy 2kg more with the amount she had.What was the original price of the oranges ?

A) 22.77 B) 25.77
C) 27.77 D) 29.77
 
Answer & Explanation Answer: C) 27.77

Explanation:

If the price of the oranges decreases by 10%, the woman would save 10% of the money that is Rs.50 to buy the same amount as before.Now in Rs. 50 she can buy 2 kg more, therefore the current price of 1 kg of oranges is Rs25.Now, this current price is after 10% reduction.

 

 

 

Therefore, the original price =  25/0.9  = Rs. 27.77

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Filed Under: Profit and Loss
Exam Prep: CAT , Bank Exams
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Q:

An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ?

A) 10.25 % B) 8.16 %
C) 9.63 % D) 0.16 %
 
Answer & Explanation Answer: B) 8.16 %

Explanation:

Let the sum be Rs. 100. Then,
S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4
S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16
So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16
Effective rate = (108.16 - 100) = 8.16%.

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Filed Under: Simple Interest
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Q:

In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?

A) 2800 B) 2880
C) 2600 D) 3980
 
Answer & Explanation Answer: B) 2880

Explanation:

They have to be arranged in the following way :

                                                                    L  T  L  T  L  T  L  T  L

The 5 lions should be arranged in the 5 places marked ‘L’.

This can be done in 5! ways.

The 4 tigers should be in the 4 places marked ‘T’.

This can be done in 4! ways.

Therefore, the lions and the tigers can be arranged in 5!´ 4! ways = 2880 ways.

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