Ratio, Proportion and Partnership
- Ratio, Proportion & Partnership
- CRE 1 - Ratio
- CRE 2 - Proportion
- CRE 3 - Partnership
- PE 1 - Ratio
Percentage, Profit & Loss
- Percentage
- Profit & Loss
- CRE 1 - Percentage
- CRE 2 - Percentage Change
- CRE 3 - Successive Percentage Change
- CRE 4 - Profit & Loss
- CRE 5 - Discount
- PE 1 - Percentage
Simple and Compound Interest
- Simple & Compound Interest
- CRE 1 - Simple Interest
- CRE 2 - Compound Interest
Average, Mixture & Alligation
- Average
- Mixture & Alligation
- CRE 1 - Simple Average
- CRE 2 - Numbers Added/Removed
- CRE 3 - Weighted Average
- PE 1 - Average
- PE 2 - Average
Time and Work
- Time and Work
- CRE 1 - Basics
- CRE 2 - Working in Shifts
- CRE 3 - Payments
- CRE 4 - Man Days (single group of people)
- CRE 5 - Man Days (multiple groups of people)
- CRE 6 - Pipes & Cisterns
- PE 1 - Time and Work
Time, Speed and Distance
- Time, Speed and Distance
- CRE 1 - Basics
- CRE 2 - Relative Speed
- CRE 3 - Trains
- CRE 4 - Boats & Streams
Numbers
- CRE 1 - Simplification
- PE 1 - LCM & HCF
- PE 2 - LCM & HCF
- PE 3 - Unit's Digit
Indices & Surds
- CRE 1 - Indices
- CRE 2 - Surds
Linear & Quadratic Equations
Permutations, Combinations & Probability
Geometry, Mensuration & Trigonometry
- Geometry Basics
- CRE 1 - Geometry Basics
- CRE 2 - Triangles
- CRE 3 - Circles
- CRE 4 - Mensuration
- CRE 5 - Trigonometry
Data Interpretation
- CRE 1 - Tables
Arrangements, Ranking & Ordering
- PE 1 - Arrangements
- PE 2 - Ranking
- PE 3 - Ordering
Analogy & Odd One Out
- PE 1 - Word Analogy
- PE 2 - Word Analogy
- PE 3 - Alphabet Analogy
- PE 4 - Numbers Analogy
- PE 5 - Odd One Out
Number & Alphabet Series
- PE 1 - Number Series
- PE 2 - Alphabet Series
Coding & Decoding
- PE 1 - Coding & Decoding
Clocks & Calendars
- PE 1 - Clocks
- PE 2 - Calendars
Venn Diagram
- CRE 1 - Venn Diagram
- CRE 2 - Venn Diagram
progression
Mathematical Operations
- PE 1 - Mathematical Operations
Dice & Cubes
- PE 1 - Dice
Visual Reasoning
Blood Relation & Direction Sense
- PE 1 - Blood Relation
- PE 2 - Direction Sense
General Knowledge & Current Affairs
Syllogisms

PE 1 - Time and Work | Time and Work

1. PE 1 - Time and Work | Time and Work

Some staff promised to do a job in 18 days, but 6 of them went on leave. So, the remaining men took 20 days to complete the job. How many men were there originally?

A.
55
B.
62
C.
56
D.
60

2. PE 1 - Time and Work | Time and Work

5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?

A.
5 days
B.
10 days
C.
6 days
D.
12 days

3. PE 1 - Time and Work | Time and Work

A track of 100 m can be built by 7 men or 10 women in 10 days. How many days will 14 men and 20 women take to build a track of 600 m?

A.
15
B.
20
C.
25
D.
30

Answer: Option A

Explanation :

Let efficiency of each man and woman be m and w units/day.

Given, 7m × 10 = 10w × 10
⇒ 7m = 10w

Now,
⇒ $\frac{7 m \times 10}{100} = \frac{(14 m + 20 w) \times d}{600}$

⇒ $\frac{7 m \times 10}{1} = \frac{(14 m + 14 w) \times d}{6}$

⇒ 7m × 10 × 6 = 28m × d

⇒ d = 15 days

Hence, option (a).

4. PE 1 - Time and Work | Time and Work

A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone would do the work in

A.
5 days
B.
6 days
C.
9 days
D.
10 days

Answer: Option B

Explanation :

Let the time taken by A and B alone be ‘A’ and ‘B’ days respectively.

Together they can complete the work in 3 days.
⇒ $\frac{1}{A} + \frac{1}{B} = \frac{1}{3}$ …(1)

Now, they work for 2 days together and rest of the work is completed by A alone in 2 more day.

⇒ 1 = $(\frac{1}{A} + \frac{1}{B})$ × 2 + $\frac{1}{A}$ × 2

⇒ 1 = $\frac{1}{3}$ × 2+ $\frac{1}{A}$ × 2

⇒ $\frac{1}{3}$ = $\frac{2}{A}$

⇒ A = 3 days

Substituting this in (1), we get

B = 6 days.

Hence, option (b).

5. PE 1 - Time and Work | Time and Work

P can complete 1/4^th of a work in 10 days, Q can complete 40% of the same work in 15 days, R can complete 1/3^rd of the work in 13 days and S can complete 1/6^th of the work in 7 days, Who will be able to complete the work first?

A.
P
B.
Q
C.
R
D.
S

6. PE 1 - Time and Work | Time and Work

A can do a work in 20 days and B in 40 days. If they work on it together for 5 days. Then fraction of the work that is left, is:

A.
5/8
B.
1/3
C.
7/15
D.
1/10

Answer: Option A

Explanation :

Fraction of work done in 5 days = $(\frac{1}{20} + \frac{1}{40})$ × 5 = $\frac{3}{40}$ × 5 = $\frac{3}{8}$ ^th.

∴ Fraction of work left = 1 – $\frac{3}{8}$ = $\frac{5}{8}$

Hence, option (a).

7. PE 1 - Time and Work | Time and Work

A is 50% as efficient as B. C does half of the work done by A and B together in same time. If C alone does the work in 20 days, then A, B and C together can do work in:

A.
$2 \frac{5}{3}$ days
B.
$6 \frac{2}{3}$ days
C.
6 days
D.
7 days

Answer: Option B

Explanation :

C’s efficiency = 1/20

C’s efficiency is half that of A and B combined.
⇒ A’s efficiency + B’s efficiency = 1/10

A is 50% as efficient as B or B’s efficiency is twice that of A.

⇒ A’s efficiency + 2 × A’s efficiency = 1/10

⇒ A’s efficiency = 1/30

⇒ Time taken by A alone to complete the work = 30 days.
∴ Time taken by B alone to complete the work = 15 days.

Now, let Time taken by A, B and C together = N days
⇒ $\frac{1}{N}$ = $\frac{1}{30} + \frac{1}{15} + \frac{1}{20}$ = $\frac{2 + 4 + 3}{60}$ = $\frac{9}{60}$ = $\frac{3}{20}$

⇒ N = 20/3 = $6 \frac{2}{3}$ days.

Hence, option (b).

8. PE 1 - Time and Work | Time and Work

If 12 men or 18 women can make a wall in 14 days, then working at the same rate, 8 men and 16 women can make the same wall in:

A.
9 days
B.
5 days
C.
7 days
D.
8 days

9. PE 1 - Time and Work | Time and Work

A certain number of men complete a work in 160 days. If there were 18 men more, the work could be finished in 20 days less. How many men were originally there?

A.
116
B.
122
C.
124
D.
126

10. PE 1 - Time and Work | Time and Work

A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work was finished one day earlier. How many days would it have been delayed if 5 more men were not employed?

A.
1 day
B.
2 days
C.
3 days
D.
4 days

PE 1 - Time and Work | Time and Work

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