A group of workers can do a piece of work in 24 days however as 6 of them were absent it took 30 days to complete the work how many people actually worked on the job to complete it?

Let X workers are required to complete the job.

As workers and days are inversely proportional to each other so

(X-6)/x=24/30

30x-180=24x

6x=180

X=30

A+B means A is the son of B;

A-B means A is the wife of B;

AxB means A us the brother of B;

AÃ·B means A is the mother of B; and

A=B means A is the sister of B.

What does P=RÃ·Q means?

P=RÃ·Q means P is the sister of R who is the mother of Q i.e. P is the aunt of Q..

A can complete a work in 20 days. B can complete the same task in 15 days. B worked for 10 days and left the job. In how many days A alone can complete the work?

B:s 10 days work=(1/15)*10

=2/3

Remaining work=(1-2/3)=1/3

Now,1/20 work is done by A in 1 day.

Hence ,1/3 work is done by A in (20*1/3)=6.6

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In following questions, a sequence of groups of alphabets and numbers is provided with one term missing , Choose the missing term from options. AB, DEF, HIJK, ?, STUVWX

The number of letters in the terms goes on increasing by 1 at each step. Each term consists of letters in alphabetical order. The last letter of each term and the first letter of the next term are alternate..

A man has a daughter and a son. The son is is three years older than the daughter. In one year the man will be six time as old as the daughter is now. In ten years the man will be fourteen years older than the combined ages of his children at that time. what is the man's present age?

Let's the age of daughter=x

age f son = x+3

age of father now=6x-1

condition:

M+0={(S+D)+ 10}+14]

6x-1=[{(x+3)+10}+14]

4x=28

x=7

Father's age=(6x-7)-1=41

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10 evacuator works 10 hour daily to remove 2500 cubic feet of Earth in 3 days. How many evacuator work 6 hour daily to remove 5000 cubic feet of Earth in 2 days?

Let x evacuator are required.

Evacuators are inversely proportional to hours and days are directly proportional to work progress

So,

X/10=(10/6)*(5000/2500)*(3/2)

=48

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In following question, a number series is given with one term missing. Choose correct alternative

1, 2, 3, 6, 9, 18, x , 54

1, 2, 3, 6, 9, 18, x , 54

The numbers are alternatively multiplied by 2 and 3/2.

So, 1 X 2 = 2, 2 X 3/2 = 3,

3 X 2 = 6, 6 X 3/2 = 9,

so missing number = 18 X 3/2 = 27.

In following alphabet series , one term missing as shown by question mark . Choose missing term from options.

BF, CH, ?, HO, LT

The first letter of the first, second, third, .... terms are respectively moved one, two, three,... steps forward while the second letter are respectively moved two, three, four,... steps forward to obtain the corresponding letters of the successive terms.

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In following number series, two terms have been put within brackets. Choose the appropriate option

Choose the appropriate option 4, 6, 10, (12), 16, (14), 22

Choose the appropriate option 4, 6, 10, (12), 16, (14), 22

The correct sequence is + 2, + 4, + 2, + 4,...

Clearly, the term 12 is correct.

But, 14 is wrong and must be replaced by (16 + 2) i.e. 18..