Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4 B) 8
C) 12 D) None
 
Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

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Filed Under: Numbers
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14 15088
Q:

A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?

A) 64 B) 76
C) 84 D) 98
 
Answer & Explanation Answer: C) 84

Explanation:

Given total sum = Rs. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84

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Filed Under: Partnership
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13 15046
Q:

The Average age of 12 men is decreased by one year when two of them having ages 28 years and 32 years are replaced by two women of same age . The age of a women is?

Answer

Suppose age of each women be W and average age of 12 men be x



  


Hence , each woman's age = 24 years

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Subject: Problems on Ages

40 15041
Q:

A Shopkeeper  charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) is:

A) 0 B) -2
C) -4 D) 5
 
Answer & Explanation Answer: B) -2

Explanation:

          2000xX100 + 4000xY100 = 320

 

and     2000xX100 + 10000xY100 = 680

 

x = 4  and  y = 6

 

x-y = -2

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Filed Under: Percentage
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14 15029
Q:

Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ?

A) Rs. 17.80 B) Rs. 16.30
C) Rs. 14 D) Rs. 15.40
 
Answer & Explanation Answer: B) Rs. 16.30

Explanation:

C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.

S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.
S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
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Filed Under: Profit and Loss
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20 15027
Q:

A man invests in a 16% stock at 128. The interest obtained by him is :

A) Rs. 8% B) Rs. 12%
C) Rs. 12.5% D) Rs. 16%
 
Answer & Explanation Answer: C) Rs. 12.5%

Explanation:

By investing Rs 128, income derived = Rs. 16

 

By investing Rs. 100, income derived =Rs. (16/128*100)  = Rs.12.5

 

Interest obtained  = 12.5%

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Filed Under: Stocks and Shares

10 15024
Q:

Kaushalya can do a work in 20 days, while kaikeyi can do the same work in 25 days. They started the work jointly.Few days later Sumitra also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.700. What is the Share of Sumitra?

A) Rs.130 B) Rs.185
C) Rs.70 D) can't be determined
 
Answer & Explanation Answer: C) Rs.70

Explanation:

Efficiency of kaushalya = 5%

Efficiency of kaikeyi  = 4%

Thus, in 10 days working together they will complete only 90% of the work.

          [(5+4)*10] =90

Hence, the remaining work will surely done by sumitra, which is 10%.

Thus, sumitra will get 10% of Rs. 700, which is Rs.70

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Filed Under: Time and Work

12 15008
Q:

The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface

A) 40pi sq.m B) 50pi sq.m
C) 60pi sq.m D) 70pi sq.m
 
Answer & Explanation Answer: C) 60pi sq.m

Explanation:

ke

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23 14984