Quantitative Aptitude - Arithmetic Ability Questions

Q:

A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 months. At the end of the year, B’s share is Rs. 9000, find the overall profit?

A) Rs. 23,500 B) Rs. 19,780
C) Rs. 21,700 D) Rs. 20,050
 
Answer & Explanation Answer: A) Rs. 23,500

Explanation:

Given A & B in partnership

A Invests 116000 for 12 months 

=> A's share = 116000 x 12 = 13,92,000

B Invests for 6 months

=> B's share = 144000 x 6 = 8,64,000

Their Ratio = 1392 : 864 = 29 : 18

Let the Annual profit = P

Given B's share = Rs. 9000

=> 18/47 x P = 9000

=> P = 9000 x 47/18

=> P = 23,500

Hence, Overall profit = P = Rs. 23,500

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Filed Under: Partnership
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12 5253
Q:

Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was  ?

A) Rs. 28,000 B) Rs. 18,000
C) Rs. 14,000 D) Rs. 8,000
 
Answer & Explanation Answer: A) Rs. 28,000

Explanation:

Investments ratio is = 3:1
Time period ratio is = 2:1

As they are proportional to gain

------
Gain ratio of Vishal and raghu = 6:1

But given Raghu got Rs. 4000, 

=? 1 ----- 4000
     7 -----    ?

=> Rs.28,000

The total gain = Rs.28,000

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4 5250
Q:

'X' sells fruits at 21% profit. If X bought it for 9% less and sold it for Rs.29 less, he would have gained 25%. The cost price of fruits is?

A) Rs. 400 B) Rs. 420
C) Rs. 460 D) Rs. 480
 
Answer & Explanation Answer: A) Rs. 400

Explanation:

Let the cost price of the fruits be 'C.P'

From the given data, after analysis it can be solved as

(121% of C.P) - (125% of 91% of C.P) = 29

121100 C.P  -  125100  x 91100 x C.P = 29121100 - 125 x 91100 x 100 C.P = 29(12100 - 125 x 91) C.P = 290000(12100 - 11375) C.P = 290000725 C.P = 290000C.P = 400

 

Hence, the cost price of the fruits = Rs. 400.

 

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Filed Under: Profit and Loss
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13 5250
Q:

A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ?

A) Rs. 175 B) Rs. 220.75
C) Rs. 126 D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

Here given Interest earned = Rs. 2260

Time = 3 years

Rate of interest = ?

Principal Amount = ?

So, it can't be determined.

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Filed Under: Simple Interest
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18 5247
Q:

5 years ago, the mother's age was 3 times of her son's age. 5 years hence, the ratio between the ages of mother and the son becomes 11:5. Find the mother's present age?

Answer

Let the present age's of mother be 'M' and that of her son be 'S'.


According to the given data in the question,


M - 5 = 3(S - 5)


F - 3S = -10  ...............(1)


Then given ,


M + 5 : S + 5 = 11 : 5 


=> 5M - 11S = 30 ..............(2)


 


From (1) & (2), we get


S = 20


Then by substituting S = 20 in (1) or (2), we get


M = 50.


 


Hence, the present age of mother is M = 50 years.

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Subject: Problems on Ages Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 5237
Q:

0.2×0.2+0.010.1×0.1+0.02-1 is equal to

A) 5/3 B) 9/5
C) 41/4 D) 41/12
 
Answer & Explanation Answer: A) 5/3

Explanation:

Given expression = 0.2×0.2×0.010.1×0.1×0.02=0.04+0.010.01+0.02=0.050.03=53

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Filed Under: Decimal Fractions

10 5225
Q:

A student council of 5 members is to be formed from a selection pool of 6 boys and 8 girls.How many councils can have Jason on the council?

A) 715 B) 725
C) 419 D) 341
 
Answer & Explanation Answer: A) 715

Explanation:

If Jason is on th ecouncil,this reduces the selction pool to only 13 people,out of which we still need to select 4.

 

So, 13C4 = 715

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1 5221
Q:

Value of vehicle at end of each year depreciates at the rate of 3/5th of value at the beginning. If Initial value is 10,000Rs then at the end of three years its value is ? 

A) Rs. 6000 B) Rs. 3600
C) Rs. 2160 D) Rs. 415
 
Answer & Explanation Answer: C) Rs. 2160

Explanation:

End of first year     :  10000 x (3/5) = Rs. 6000
End of second year :  6000 x (3/5) = Rs. 3600
End of third year    :  3600 x (3/5) = Rs. 2160

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Filed Under: Percentage
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2 5220