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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

A) 10 liters B) 20 liters
C) 30 liters D) 40 liters
 
Answer & Explanation Answer: A) 10 liters

Explanation:

Number of liters of water in 125 liters of the mixture = 20% of 150 = 1/5 of 150 = 30 liters

 

Let us Assume that another 'P' liters of water are added to the mixture to make water 25% of the new mixture. So, the total amount of water becomes (30 + P) and the total volume of the mixture becomes (150 + P)

 

Thus, (30 + P) = 25% of (150 + P)

 

Solving, we get P = 10 liters

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Filed Under: Alligation or Mixture

151 40223
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 40037
Q:

The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is

A) 77 B) 88
C) 99 D) 110
 
Answer & Explanation Answer: A) 77

Explanation:

Product of numbers = 11 x 385 = 4235

 

Let the numbers be 11a and 11b . Then , 11a x 11b = 4235  =>  ab = 35

 

Now, co-primes with product  35 are (1,35) and (5,7)

 

So, the numbers are ( 11 x 1, 11 x 35)  and (11 x 5, 11 x 7)

 

Since one number lies 75 and 125, the suitable pair is  (55,77)

 

Hence , required number = 77

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Filed Under: HCF and LCM

72 39809
Q:

I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?

A) 1/999 B) 1/1001
C) 1/1000 D) 4/1000
 
Answer & Explanation Answer: C) 1/1000

Explanation:

It is given that last three digits are randomly dialled. then each of the digit can be selected out of 10 digits in 10 ways.
Hence required probability =1103 = 1/1000

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Filed Under: Probability

28 39781
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 39632
Q:

Tarun got 30% concession on the labelled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labelled price ?

A) 10000 B) 12000
C) 13000 D) 14000
 
Answer & Explanation Answer: A) 10000

Explanation:

Cost Price = Rs.100125×8750 = Rs. 7000. Let the labelled price be Rs. x. 

 

Then, 70100*x=7000 ⇒x=Rs.7000*10070 

 

= Rs.10000

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Filed Under: Profit and Loss

201 39533
Q:

A and B start a business jointly. A invests Rs. 16,000 for 8 months and B remains in  the business for 4 months, Out of total profit, B claims - of the profit. How much money was contributed by B ?

A) 12000 B) 12800
C) 13000 D) 14500
 
Answer & Explanation Answer: B) 12800

Explanation:

Let the total profit be Rs. x. Then, B = 2x/7 and A = (x - 2x /7) =  5x / 7.

So, A : B = 5x/7 : 2x/7 = 5 : 2.

Let B s capital be Rs. y. Then, (16000 * 8) / ( y * 4) = 5/2  <=> (16000 * 8 * 2) / (5 * 4) = 12800..  

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Filed Under: Partnership

35 39509
Q:

The ratio 5 : 4 expressed as a percent equals :

A) 12.5 % B) 40 %
C) 80 % D) 125 %
 
Answer & Explanation Answer: D) 125 %

Explanation:

5 : 4 = 5/4 = ( (5/4) x 100 )% = 125%.

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Filed Under: Percentage

154 39505