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Q:

Pick the odd man out of the folowing number sequence?

123 112 133 112 143

A) 143 B) 122
C) 133 D) 112
 
Answer & Explanation Answer: B) 122

Explanation:

Here the given series is 123 112 133 112 143

It follows a pattern that,

123

123 - 11 = 112

112 + 21 = 133

133 - 31 = 102 (not 122)

102 + 41 = 143

 

Hence, the odd man in the given number sequence is 122 instead of 102.

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Q:

In a city of engineers of 4800, the number of female engineers are 3/8th of them. The number of female engineers is what percentage of the number of male engineers?

A) 76 B) 60
C) 56 D) 52
 
Answer & Explanation Answer: B) 60

Explanation:

Total engineers = 4800

Number of female engineers = 3/8 x 4800 = 1800

Then, number of male engineers = 4800 - 1800 = 3000

Now, required is female engineers is what percentage of the number of male engineers

=> 1800 is what % of 3000

=> p x 3000/100 = 1800

=> 30p = 1800

p = 60%

 

Hence, female engineers is 60 percentage of the number of male engineers.

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Q:

How many 4-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A) 60 B) 48
C) 36 D) 20
 
Answer & Explanation Answer: A) 60

Explanation:

Here given the required digit number is 4 digit.

It must be divisible by 5. Hence, the unit's digit in the required 4 digit number must be 0 or 5. But here only 5 is available.

x x x 5

The remaining places can be filled by remaining digits as 5 x 4 x 3 ways.

 

Hence, number 4-digit numbers can be formed are 5 x 4 x 3 = 20 x 3 = 60.

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Filed Under: Permutations and Combinations
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Q:

Which of the following is a rational number?

A) 0.241 B) 1.732
C) 4 D) All of the above
 
Answer & Explanation Answer: C) 4

Explanation:

Any number which can be expressed as a fraction of two integers like P & Q as P/Q where Q is not equal to zero.

Every integer is a rational number since Q can be 1.

 

Hence, in the given options, 4 can be expressed as a simple fraction as 4/1. And all other options cannot be expressed as fractions.

 

Hence, 4 is a rational number in the given options.

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Q:

Find the missing number in the given number series?

1 8 36 ? 1100 7701

A) 97 B) 129
C) 164 D) 183
 
Answer & Explanation Answer: D) 183

Explanation:

The given number series is 1 8 36 ? 1100 7701

It follows a pattern that,

 

1

1 x 3 + 5 = 8

8 x 4 + 4 = 36

36 x 5 + 3 = 183

183 x 6 + 2 = 1100

1100 x 7 + 1 = 7701

 

Hence, the missing number in the given series is 183.

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Filed Under: Number Series
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Q:

Find the next number in the given number series?

2, 3, 7, 16, 32, ?

A) 49 B) 52
C) 54 D) 57
 
Answer & Explanation Answer: D) 57

Explanation:

The given number series is 2, 3, 7, 16, 32, ?

 

22 + 12 = 33 + 22 = 77 + 32 = 1616 + 42 = 3232  + 52 = 57

Hence, the next number in the given number series is 57.

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Q:

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

A) 10 B) 5
C) 50 D) 25
 
Answer & Explanation Answer: B) 5

Explanation:

Let the larger number be p

Then, smaller number = 1/6 x p = p/6

Given difference between two numbers = 25

p - p/6 = 25

5p/6 = 25

5p = 150

p = 30

Then, p/6 = 30/6 = 5

Hence, larger number = 30 and smaller number = 5 which makes the difference = 25.

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Filed Under: Problems on Numbers
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Q:

Pick the odd man out in the given number series?

2 4 27 256 3125 46656

A) 3125 B) 46656
C) 27 D) 2
 
Answer & Explanation Answer: D) 2

Explanation:

Here the given number series is 2 4 27 256 3125 46656

It follows a pattern that,

11 = 122 = 433 = 2744 = 25655 = 312566 = 46656

 

Hence the wrong number in the given number series is 2 instead of 1.

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