Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the odd man out?

396, 462, 572, 427, 671, 264.

A) 671 B) 462
C) 427 D) 264
 
Answer & Explanation Answer: C) 427

Explanation:

Here the given series is 396, 462, 572, 427, 671, 264.

In all the terms, the middle digit is the sum of first and third digit except 427.

 

So the Odd number in the given series is 427.

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Filed Under: Odd Man Out
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119 225782
Q:

25% of 25% Is Equal To

 

A) 0.0625 B) 0.0210
C) 0.03145 D) 0.3210
 
Answer & Explanation Answer: A) 0.0625

Explanation:

25% of 25% means

 

 

 

25/100 of 25/100

 

 

 

i.e, 1/4 of 1/4

 

 

 

or in other words 1/4 x 1/4=1/16

 

 

 

Hence, the answer is 1/16 = 0.0625.

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Filed Under: Percentage
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77 219593
Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4 B) 1/2
C) 3/4 D) 7/12
 
Answer & Explanation Answer: C) 3/4

Explanation:

Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event

A, B, C are independent events

Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

 PA=12, PB=23, PC= 34

 P( none  solves the problem) = P(not A) and (not B) and (not C)  

                  = PABC 

                  = PAPBPC          A, B, C are Independent                       

                  =  12×23×34  

                  = 14  

Hence, P(the problem will be solved) = 1 - P(none solves the problem) 

                = 1-14= 3/4

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Filed Under: Probability
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1020 208557
Q:

92613 x 62742241 = ? + 89

Find the value of '?'

A) 166251 B) 166259
C) 166252 D) 166253
 
Answer & Explanation Answer: C) 166252

Explanation:

Given 92613 x 62742241 = ? + 89

 

Using unit digit method,

 

On LHS,

 

1 x 1 x 1 = 1

 

sqrt of last digit 1 => it must end with either 9 or 1

 

so now

 

1 x 1 = 1

 

1 x 9 = 9

 

On RHS,

 

? + 89

 

=> ? = ...1 - 89 = last digit is 11- 9 = 2

 

or

 

=> ? = ...9 - 89 = last digit is 9 - 9 = 0

 

Here in the options last digit 2 is option C.

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Filed Under: Simplification
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23 195934
Q:

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A) 2:5 B) 3:5
C) 4:5 D) 5:4
 
Answer & Explanation Answer: C) 4:5

Explanation:

Let the third number be x.

Then, first number = 120% of x =120x/100 = 6x/5  


Second number =150% of x = 150x/100 = 3x/2

Ratio of first two numbers = 6x/5 : 3x/2 = 12x : 15x = 4 : 5

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Filed Under: Ratios and Proportions

622 184579
Q:

Insert the missing number.

16, 33, 65, 131, 261, (....)

A) 523 B) 521
C) 613 D) 721
 
Answer & Explanation Answer: A) 523

Explanation:

Each number is twice the preceding one with 1 added or subtracted alternatively.

So, the next number is (2 x 261 + 1) = 523.

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45 183940
Q:

Simplify the following :

373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ?

A) 100 B) 1
C) 4 D) 0
 
Answer & Explanation Answer: A) 100

Explanation:

Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28

 

It is in the form of

 a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c

 

Here a = 37, b = 35 & c = 28 

 

=> a + b + c = 37 + 35 + 28 = 100

 

 

 

Therefore,   = 100

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Filed Under: Simplification
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20 180665
Q:

Insert the missing number.

2, 6, 12, 20, 30, 42, 56, (....)

A) 61 B) 64
C) 72 D) 70
 
Answer & Explanation Answer: C) 72

Explanation:

The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8.

So, the next number is 8 x 9 = 72.

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90 157731