Quantitative Aptitude - Arithmetic Ability Questions

Q:

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

A) 2/91 B) 1/22
C) 3/22 D) 2/77
 
Answer & Explanation Answer: A) 2/91

Explanation:

Let S be the sample space.

Then, n(S) = number of ways of drawing 3 balls out of 15 = 15C3  =15*14*133*2*1= 455.  

Let E = event of getting all the 3 red balls.

 n(E) = 5C3 = 5*42*1 = 10.

 => P(E) = n(E)/n(S) = 10/455 = 2/91.

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Filed Under: Probability

215 111998
Q:

Direction: What value should come in place of the question mark (?) in the following question?

534.596 + 61.472 - 496.708 = ? + 27.271

A) 126.631  B) 62.069
C) 72.089 D) 132.788
 
Answer & Explanation Answer: C) 72.089

Explanation:

534.596 + 61.472 – 496.708 = ? + 27.271

596.068 – 496.708 = ? + 27.271

? = 99.36 – 27.271

? = 72.089.

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Filed Under: Simplification
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0 111237
Q:

Simplify the following equation ?

2003 x 2004 - 2001 x 2002 = ?

A) 8010 B) 8020
C) 8030 D) 8040
 
Answer & Explanation Answer: A) 8010

Explanation:

(2000 + 3)(2000 + 4) - (2000 + 1)(2000 + 2) = ?
Since (2000 x 2000) - (2000 x 2000) is equal to zero. ?
= (8000 + 6000 + 12) - (4000 + 2000 + 2)
=> 14012 - 6002 = 8010.

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Filed Under: Simplification
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3 111064
Q:

Find the missing number in the series

1, 6,  ?, 15, 45, 66, 91

A) 24 B) 28
C) 32 D) 26
 
Answer & Explanation Answer: B) 28

Explanation:

Here the given series 1, 6,  ?, 15, 45, 66, 91 follows a

Pattern in the series is, +5, +9, +13,...,.. +21, +25

So +4 is getting increased at every term addition.

Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.

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Filed Under: Odd Man Out
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7 110919
Q:

How many of the following numbers are divisible by 132?

264,396,462,792,968,2178,5184,6336

A) 4 B) 5
C) 6 D) 7
 
Answer & Explanation Answer: A) 4

Explanation:

132 = 4 x 3 x 11, So if the number is divisible by all three numbers 4,3 and 11,then the number is divisible by 132 also.
264   => 4,3,11(/)
396   => 4,3,11(/)
462   => 11,3
792   => 4,3,11(/)
968   => 11,4
2178 => 11,3
5184 => 3,4
6336 => 4,3,11(/)
Required number of numbers=4.

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Filed Under: Numbers

32 110375
Q:

What is the positive square root of [25 + 4√39]?

 

A) √13 + 2√3   B) √13 + 3√2  
C) √11 + 2√3 D) 11 + 3√2  
 
Answer & Explanation Answer: A) √13 + 2√3  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 110288
Q:

The missing number in the Series

114, 131, 165, 216,  ?, 369

 

A) 314 B) 304
C) 294 D) 284
 
Answer & Explanation Answer: D) 284

Explanation:

114       131     165     216     ?      369

   +17      +34     +51     +68    +85

 

=> The missing number in the given Number series = 216 + 68 = 284.

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Filed Under: Odd Man Out
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7 109744
Q:

What should come in place of question mark (?) in the following question?

41% of 600 - 250 = ? - 77% of 900

A) 889 B) 589
C) 789 D) 689
 
Answer & Explanation Answer: D) 689

Explanation:

41% of 600 - 250 = ? - 77% of 900

⇒ 246 - 250 = ? - 693

⇒ 246 -250 + 693 = ?

⇒ ? = 689

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Filed Under: Simplification
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2 109066