Quantitative Aptitude - Arithmetic Ability Questions

Q:

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ?

A) 360 lit B) 480 lit
C) 320 lit D) 420 lit
 
Answer & Explanation Answer: B) 480 lit

Explanation:

1/k - 1/20 = -1/24

k = 120

120 x 4 = 480

Therefore, the capacity of the cistern is 480 liters.

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Filed Under: Pipes and Cistern
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15 22524
Q:

 The difference between a number and its two-fifth is 510. What is 10% of that number ?

A) 75 B) 85
C) 95 D) 105
 
Answer & Explanation Answer: B) 85

Explanation:

Let the number be x. Then, x-(2/5)x = 510

=> 3x/5 =510 

=>x =[510 * ( 5/3)] =850 

10 % 0f 850 = 85.

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Filed Under: Percentage

40 22488
Q:

Find the odd word/letters/number from the given alternatives.

(A) BCE (B) WXZ (C) MNP (D) GHK

A) A B) B
C) C D) D
 
Answer & Explanation Answer: D) D

Explanation:
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0 22477
Q:

Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ?

A) 193 : 122 B) 97 : 102
C) 115 : 201 D) 147 : 185
 
Answer & Explanation Answer: A) 193 : 122

Explanation:

Given the three mixtures ratio as (1:2),(2:3),(3:4)

(1+2),(2+3),(3+4)

Total content = 3,5,7

 

Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105

105/3 = 35 , 105/5 = 21 , 105/7 = 15

 

Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)

 i.e (35,70), (42,63), (45,60)

 

So overall mixture ratio of milk and water is

35+42+45 : 70+63+60

122:193

 

But in the question asked the ratio of water to milk = 193 : 122

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Filed Under: Alligation or Mixture
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27 22399
Q:

If yesterday were tomorrow, then today would be Friday. What day is today?

A) Saturday B) Monday
C) Sunday D) Tuesday
 
Answer & Explanation Answer: C) Sunday

Explanation:

If yesterday were tomorrow, today is Friday => tomorrow of friday is Saturday.

 

Hence, it implies that today is Sunday if tomorrow is Saturday.

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Filed Under: Calendar
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86 22353
Q:

The largest 4 digit number exactly divisible by 88 is ?

A) 9944 B) 9768
C) 8888 D) 9988
 
Answer & Explanation Answer: A) 9944

Explanation:

The largest 4 digit number is = 9999
After dividing 9999 with 88, we get 55 as remainder
so largest 4 digit number divisible by 88 = 9999-55 = 9944.

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Filed Under: Numbers
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52 22346
Q:

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is

A) Rs.4000 B) Rs.500
C) Rs.600 D) Rs.800
 
Answer & Explanation Answer: B) Rs.500

Explanation:

Let the sum be Rs. P.

Then,[p(1+10/100)2-p]=525

Sum =Rs.2500

S.I.= Rs.(2500*5*4)/100


= Rs. 500

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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10 22337
Q:

The difference between the squares of two consecutive odd integers is always divisible by ?

A) 8 B) 2
C) 6 D) 4
 
Answer & Explanation Answer: A) 8

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)2 - (2x + 1)2

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

45 22292