SSC MTS MATHS QUIZ

Question 1:

P can do a work in n days while Q can do the same work in n+1 days then in how many days will they complete the whole work, working together?

$\frac{n(n+1)}{2 n+1}$

$\frac{n+1}{2 n}$

$\frac{n+1}{2 n+1}$

$\frac{n(n+1)}{2 n}$

Question 2:

A, B and C togethelr can do a job in $12 \frac{1}{2}$ days C is just $20 \%$ as efficient as A. B can do the job in $37 \frac{1}{2}$ days. In how man doays can $A$ and $\mathrm{C}$ together do the job?

$18 \frac{3}{4}$

$24 \frac{1}{4}$

$21 \frac{3}{4}$

25.0

Question 3:

Two persons can complete a piece of work in 9 days. How many more persons are needed to complete twice the work in 12 days?

3

2

4

1

Question 4:

A can finish a piece of the work in 16 days and B can finish it in 12 days. They worked together for 4 days and then A left. B finished the remaining work. For how many total number of days did B work to finish the work completely?

6

9

4

8

Question 5:

Raj and Simran together can complete a task in 18 days Raj alone can complete the same task in 30 days. How many days will Simran alone take to complete the same task?

36

45

54

60

Question 6:

Two men $A$ and $B$ started a job in which $A$ was thrice as good as $\mathrm{B}$ and therefore took 60 days less than $\mathrm{B}$ to finish the job. How many days will they take to finish the job, if they start working together?

15 days

20 days

$22 \frac{1}{2}$ days

25 days

Question 7:

3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before to finish the same job is:

36 days

40 days

20 days

30 days

Question 8:

$\mathrm{A}$ and $\mathrm{B}$ can do a piece of work in 12 days and 20 days respectively. They both work together for 6 days. The remaining work is completed by $C$ alone in 12 days. In how many days will $A$ and $C$ together complete the $\frac{2}{3}$ part of the work?

$6 \frac{2}{3}$ days

6 days

$8 \frac{1}{2}$ days

8 days

Question 9:

P is 4 times faster than Q in doing a job. Q takes 27 more days than P to finish the job. If they work together, in how many days will the work be finished?

$6 \frac{4}{5}$ days

$7$ $\frac{2}{5}$ days

$7 \frac{3}{5}$ days

$7 \frac{1}{5}$ days

Question 10:

Aakash and Vikash together can complete a piece of work in 16 days and Vikash alone can complete it in 20 days. In how many days can Aakash alone complete the same work?

64

80

100

84