1. Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?
Answers:
work is done in 1 day by 1 man. work will be done in 2 days by
1 man’s 1 day’s work work is done by them in 1 day. work is done by them in days.
1 woman’s 1 day’s work men can complete the work in 1 day. 1 man’s 1 day’s work
A left after 9 days.
(a) 16
(b) 24
(c) 36
(d) 48
(e) None of these
2. 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?
(a) 15
(b) 18
(c) 22
(d) Data inadequate
(e) None of these
3. Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men?
(a) 5
(b) 6
(c) 7
(d) 8
(e) None of these
4. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in 15 days. What is the ratio between the capacity of a man and a woman?
(a) 3 : 4
(b) 4 : 3
(c) 5 : 3
(d) Data inadequate
5. A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:
(a) 6
(b) 8
(c) 9
(d) 12
Directions (Q.6-10): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
1) if x > y
2) if x < y
3) if x ≥ y
4) if x ≤ y
5) if x = y or relation cannot be established between 'x' and 'y'.
6.
x^2-82x+781=0
y^2=5041
x^2-82x+781=0
y^2=5041
7.
9x^2+18x+9=0
y^2-3y+2=0
9x^2+18x+9=0
y^2-3y+2=0
8.
77x^2+58x+8=0
77x^2+58x+8=0
42y^2+59y+20=0
9.
81x^2-9x-2=0
56y^2-13y-3=0
81x^2-9x-2=0
56y^2-13y-3=0
10.
99x^2+149x+56=0
99x^2+149x+56=0
156y^2+287y+132=0
1. (b)1 man’s 1 day’s work
Work done in 12 days
Remaining work
(16 men + 16 women)’s 2 days’ work
Remaining work
2. (a)1 man’s 1 day’s work 1 woman’s 1 day’s work
6 men’s 2 days’ work Remaining work .
Now,
So,
3. (e)
7 men’s 5 days’ work Remaining work
5 men’s 1 day’s work
4. (b)
So, required ratio
5. (c) (A+B)’s 1 day’s work
Work done by B in 23 days Remaining work
Now,
6. 5
7. 2
8. 3
9. 5
10. 1
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