Most Repeated Questions in PSC Examinations | |
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1 | Questions Related to Samadhi Sthal Of Popular Indian Leaders |

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4 | Questions & Solutions Related to LCM & HCF |

- If a man completes certain work in 'n' days, work done by him in one day is 1/n.

- If the work done by a man in one day is 1/n, he can finish the total work in n days.

- Time and work is always inversely proportional to each other.

- If M1 persons can do W1 work in D1 days and M2 persons can do W2 work in D2 days, the general formula to find the total work or total time is :

M1 * D1 * W2 = M2 * D2 * W1

It is important to learn the above concepts to solve Time and Work related aptitude questions. Now let us check how to solve these questions using short cuts.

LDC Examination Syllabus

**Solved Examples**- If A can finish a specific work in 10 days and B can do the same work in 20 days. Find the time required to complete the work by both A and B together

Ans:Work done in a day by A = 1/(10) Work don by B in a day = 1/(10) Work done in a day by both A and B together =

1/(10) + 1/(20) = (2 + 1)/(20) =3/20

{ Here we took the LCM of both denominators. To learn more about it,

click the link below. L.C.M. & H.C.F. For Aptitude Questions } Now apply the first law provided in this tutorial to find the time needed

to complete the work by both A and B => reverse of 3/20 => 20/3 days

- 40 persons make 60 bricks in 3 hours. if 8 persons leave the work, how many bricks will be made by the remaining persons in next 6 hours.

Ans:Here we need to use the formula M1 * D1 * W2 = M2 * D2 * W1 Here M1 = 40 M2= 32 W1 = 60 D1= 3 D2= 6 W2 = ? M2 * D2 * W1 ____________________ W2 = M1 * D1 => W2 = (32 * 6 * 60)/ (40 *3) = 96 bricks

- If X can do a piece of work in 25 days and Y can finish it in 20 days. They worked together for for 5 days and then X left. How many days Y will take to complete the work ?

Ans:Work done by X in a day = 1/25 Work done by Y in a day =1/20 Work done by both X and Y in 5 days = 5 * (1/25 + 1/20) = 9/20 Remaining work = 1 - (9/20) =11/20 Y finish 1/20 work in a day. So to finish 11/20 work, Y needs 11 more days.

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## Comments

Plz post more questions from this area..