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Q:

What value will come in place of question mark (?) in the number - series given below  ? 

4, 30, ?, 1440, 7195, 71940

A) 145 B) 545
C) 650 D) 999
 
Answer & Explanation Answer: A) 145

Explanation:

4       30       ?     1440       7195      71940

 

Here the given series follows a pattern of

 

4

 

4 x 10 - 10 = 30

 

30 x 5 - 5  = 145

 

145 x 10 - 10 = 1440

 

1440 x 5 - 5 = 7195

 

7195 x 10 - 10 = 71940

 

Hence, the missing number is 145

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Q:

To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ?

A) 7920 B) 74841
C) 14874 D) 10213
 
Answer & Explanation Answer: A) 7920

Explanation:

ST candidates vacancies can be filled by C35 ways = 10 

Remaining vacancies are 5 that are to be filled by 12 

=> C512= (12x11x10x9x8)/(5x4x3x2x1) = 792 

Total number of filling the vacancies = 10 x 792 = 7920

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Filed Under: Permutations and Combinations
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Q:

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

38, 195, ?, 4905, 24530, 122655

A) 980 B) 885
C) 824 D) 1021
 
Answer & Explanation Answer: A) 980

Explanation:

The given series follows the pattern that,

 

×5+5,   ×5+5,   ×5+5,   ×5+5,   ×5+5

 

38 x 5 + 5  = 195

 

195 x 5 + 5 = 980

 

980 x 5 + 5 = 4905

 

4905 x 5 + 5 = 24530

 

24530 x 5 + 5 = 122655

 

So the missing number is 980 .

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Q:

There are 1650 students in a college. The difference between the number of boys and girls in the college is 400. What is the percentage of girls in the college ?

A) 49 B) 34
C) 43 D) 38
 
Answer & Explanation Answer: D) 38

Explanation:

Let no. of boys be 'B' and no. of girls be 'G'

Here from given data,

B + G = 1650 .....(1)

B - G = 400 .....(2)

From (1) & (2), we get

2B = 2050

=> B = 1025

=> G = 1650 - 1025 = 625

Hence, the % of girls = 625 x 100/1650

=> 38% (approx).

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Q:

In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ?

653   749   872   933   541

A) 933 B) 872
C) 749 D) 653
 
Answer & Explanation Answer: C) 749

Explanation:

From the given data,

EXP.

Largest number = 974

Therefore, the required number is 749.

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Q:

Read the arrangement carefully and give the answer of following questions ?

K$23DBE8HM4@5JF4%K1+WR#AA*415

How many such symbols are there which is not immediately preceded by a letter but immediately followed by a number ?

A) 1 B) 2
C) 3 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:

Only one such symbol is there in the given arrangement.

It is 4@5.

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Q:

Find the odd one in the number series given below ?

17, 9, 10, 18.5, 35, 90

A) 9 B) 10
C) 18.5 D) 90
 
Answer & Explanation Answer: C) 18.5

Explanation:

The given series pattern follows

 

17       9       10       18.5       35       90

 

× 0.5 + 0.5,   × 1 + 1,   × 1.5 + 1.5,   × 2 + 2,   × 2.5 + 2.5

 

So here 

 

17x0.5 + 0.5 = 9

 

9x1 + 1 = 10

 

10x1.5 + 1.5 = 16.5

 

16.5x2 + 2 = 35

 

35x2.5 + 2.5 = 90

 

Here the odd man in the given series is 18.5

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Q:

What will come in place of question mark (?) in the following number series?

4, 3, 4, 7, 15, ?

A) 42 B) 44
C) 53 D) 56
 
Answer & Explanation Answer: B) 44

Explanation:

  4             3             4             7               15        ?
×1-1      ×1+1       ×2-1       ×2+1           ×3-1

 

15x3 - 1 = 45 - 1 = 44

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