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Q:

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 12?

A) 35/36 B) 17/36
C) 15/36 D) 1/36
 
Answer & Explanation Answer: A) 35/36

Explanation:

When two dice are thrown simultaneously, the probability is n(S) = 6x6 = 36

dice_thrown_simulataneously1532668754.png image

Required, the sum of the two numbers that turn up is less than 12

That can be done as n(E)

= { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5) }

= 35

Hence, required probability = n(E)/n(S) = 35/36.

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Filed Under: Probability
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Q:

The difference between 4632 and 20000 is what number

A) 15368 B) 12652
C) 14562 D) 14965
 
Answer & Explanation Answer: A) 15368

Explanation:

The difference between 4632 and 20000 is given by subtracting smaler number from the bigger number.

Here the bigger number is 20000

Smaller number is 4632

Now, subtracting 4632 from 20000

20000 - 4632 = 15368 and the resut is an even number.

 

Hence, The difference between 4632 and 20000 is 15368 and is an even number.

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Q:

Pick an odd man in the given number series?

4 12 38 87 198

A) 12 B) 38
C) 87 D) 198
 
Answer & Explanation Answer: A) 12

Explanation:

The given series follows a pattern that,

 

4 + 32 = 4 + 9 = 1313 + 52 = 13 + 25 = 3838 + 72 = 38 + 49 = 8787 + 92 = 87 + 81 = 198 

 

Hence, the odd man in the given number series is 12.

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Q:

Complete the next number in the given number series?

21 56 102 160 231 316

A) 416 B) 415
C) 414 D) 413
 
Answer & Explanation Answer: A) 416

Explanation:

The given number series is  21 56 102 160 231 316

 

21      56       102        160      231       316         416

   +35    +46       +58       +71      +85       +100

        +11      +12       +13      +14      +15

 

Hence, the next number in the given number series is 316 + 100 = 416.

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Filed Under: Number Series
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Q:

Complete the given number series?

8, 14, 24, 40, ? 

A) 65 B) 84
C) 96 D) 102
 
Answer & Explanation Answer: A) 65

Explanation:

The given number series is 8, 14, 24, 40, ? .

It follows a pattern that,

8

8 x 1.5 + 2 = 14

14 x 1.5 + 3 = 24

24 x 1.5 + 4 = 40

40 x 1.5 + 5 = 65

 

Hence, the next number in the given number series is 65.

 

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Q:

Pick the odd one out from the given number series?

21, 24, 33, 49, 74

A) 21 B) 24
C) 33 D) 49
 
Answer & Explanation Answer: A) 21

Explanation:

The given number series follows a pattern that,

19 + 12 = 20 (not 21)20 + 22 = 2424 + 32 = 3333 + 42 = 4949 + 52 = 74 

 

Hence, the odd number in the given number series is 21.

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Q:

Smallest prime number greater than 200?

A) 201 B) 205
C) 211 D) 203
 
Answer & Explanation Answer: C) 211

Explanation:

From the trial and error method of division,

201 is divisible by 3

205 is divisible by 5

203 is divisible by 7

 

Hence, after eliminating three options, remained is 211 and is divisible by only 1 and itself. 

 

Therefore, 211 is the smallest prime number greater than 200.

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Filed Under: Arithmetical Reasoning
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Q:

Find the wrong number in the given number series?

10, 21, 54, 109, 189

A) 189 B) 109
C) 54 D) 21
 
Answer & Explanation Answer: A) 189

Explanation:

The given number series is 10, 21, 54, 109, 189

The series follows a pattern that

10 + 11 = 21

21 + 33 = 54

54 + 55 = 109

109 + 77 = 186

 

Hence the wrong number in the given number series is 189.

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Filed Under: Odd Man Out
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