SSC CGL 202021)Sixteen men can finish a work in 8 days. Eight men and nine women working together can finish the same work in 10 days. In how many days will twenty women finish the same work?

Correct Option: A

12

Let one man can finish work in m days & one woman finish work in w days. then work done by 1 man in 1 day is 1/m .

and work done by 16 men in 8 days = 1 .

\(\therefore{16\times8\over m}=1\);

also, \({8\times10\over m}+{9\times10\over w}=1\); Solving above, m = 128 days, w = 240 days;

Let 20 women finish work in x days = \({20\times x\over 240}=1\); ⇒ x = 12 days

SSC CGL 201622)

A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is

Correct Option: A

12 days

SSC CGL 201623)

In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar

Correct Option: B

7.2 sec

SSC CGL 202024)To complete a certain task. X is 40 % more efficient than Y, and Z is 40% less efficient than Y. Working together, they can complete the task in 21 days. Y and Z together worked for 35 days. The remaining work will completed by X alone in:

Correct Option: A

5 days

Efficiency of X = 140% of Y = 1.4Y;

Efficiency of Z = 60% of Y = 0.6Y;

Efficiency of X, Y and Z = 1.4 : 1 : 0.6 = 7 : 5 : 3;

They can complete the task in 21 days so,

\(Total \space work = sum\space of\space efficiency\space ratio \times times = (7 + 5 + 3) \times 21 = 315\);

Y and Z together worked for 35 days so,

Work done by Y and Z = \((5 + 3) \times 35 = 280\);

Remaining work = 315 - 280 = 35;

Remaining work complete by X = work/efficiency = 35/7 = 5 days

SSC CHSL 202125)A and B can complete a certain task in 24 days and 40 days, respectively. They worked together for 8 days. C completed the remaining task in 14 days. Working together, A and C will complete 75% of the same work in:

Correct Option: D

10 days

SSC CHSL 202126)Varun and Syan can do a work in 3 days. Syan and Anil can do it in 4 days, and Anil and Varun can do it in 6 days. How many days will Anil alone take to do the work?

Correct Option: D

24

SSC CHSL 202127)Working together, A, B and C can finish a piece of work in 3 hours. A finishes the same work in 8 hours and B finishes it in 6 hours. How long will it take for C alone to finish the same work?

Correct Option: C

24 hours

SSC CHSL 202128)A and B can complete a certain work in 6 days and 8 days, respectively. They worked together for 3 days. C alone completed the remaining work in 2 days. B and C together can complete \(\frac{3}{4}\) of the same work in:

Correct Option: B

4 days

SSC CHSL 202129)A and B complete a work in 80 days and 96 days, respectively. They completed the work in 32 days with the help of C, How many days will C take to complete the entire work alone?

Correct Option: C

120

SSC CHSL 202130)A can do a work in \( 7 \frac{1}{2} \) hours and B can do the same work in \( 10 \frac{1}{2} \) hours. If they work together for \(3 \frac{1}{2}\) hours, then what part of the work will be left out?

Correct Option: A

1/5

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