Quantitative Aptitude - Arithmetic Ability Questions

Q:

The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

A) 10 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:

Let the three parts M, N, O.
Then, M:N = 2:3 and N:O = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5

M:N:O = 2:3:24/5

= 10:15:24 => N = 98 x 15/49 = 30.

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Filed Under: Ratios and Proportions
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Q:

The average of ages of threee persons is 60 years . Those ages are in the proportion of 1:2:3. what is the age of the youngest one among them?

Answer

Suppose the ages of three persons are x, 2x, 3x years respectively 





Hence, age of youngest person = x = 30 years.

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Subject: Problems on Ages

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Q:

2500473+ (56)2÷7=?

A) 547 B) 475
C) 455 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:
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Q:

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

A) Rs. 5000 B) Rs. 6200
C) Rs. 8100 D) R. 7600
 
Answer & Explanation Answer: A) Rs. 5000

Explanation:

Let the amount invested by saketh = RS. p

Now, that of sandeep = 20,000 x 6

saketh = 12 x p

Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)

=> 12000012p = 60003000 => p= Rs. 5000

Hence, the amount investe by saketh  = Rs. p  = Rs. 5000.

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Filed Under: Partnership
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Q:

If A = log321875 and B = log2432187, then which one of the following is correct?

A) A B) A=B
C) A>B D) can't be determined
 
Answer & Explanation Answer: B) A=B

Explanation:

 Given A = log321875 and B = log2432187

B = log352187 = log321875

=> A

Therefore, A = B

   

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Filed Under: Logarithms
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7 5719
Q:

A jar can 20 litre milk. From the jar, 4 litres milk was taken out and replaced with an equal quantity of water. If 4 litres of the newly formed mixture is taken out of the can, then what is the final quantity of milk left in the can?

A) 14.5 lit B) 12.8 lit
C) 11.6 lit D) 10.46 lit
 
Answer & Explanation Answer: B) 12.8 lit

Explanation:

This can be solved as

 

20 1 - 4202  =  20 1 - 152= 20452= 20 1625= 645= 12.8

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Filed Under: Percentage
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11 5719
Q:

Find value of log27 +log 8 +log1000log 120

A) 1/2 B) 3/2
C) 2 D) 2/3
 
Answer & Explanation Answer: B) 3/2

Explanation:

 = log 33 + log 23+ log 103log10×3×22 

 

 

 

=log33 12+log 23+log 10312log(10×3×22)  

 

 

 

 

 

 

 

=12log 33+3 log 2+12 log103log10+log3+log22  

 

 

 

 

 

 

 

=32log 3 + 2 log 2 + log 10log 3 + 2 log 2 + log 10 = 32  

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Filed Under: Logarithms
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27 5717
Q:

Two equal sums were lent, one at the rate of 11% per annum for five years and the other at the rate of 8% per annum for six years, both under simple interest. If the difference in interest accrued in the two cases is Rs 1008. Find the sum?

A) Rs. 14,400 B) Rs. 15,600
C) Rs. 14,850 D) Rs. 15,220
 
Answer & Explanation Answer: A) Rs. 14,400

Explanation:

Let the required Sum = Rs.S

 From the given data,

 1008 = [(S x 11 x 5)/100] - [(S x 8 x 6)/100]

 => S = Rs. 14,400.

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Filed Under: Simple Interest
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