Model 7 Working with individual wages Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 7 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on time & work topic of quantitative aptitude

Questions : 10 men working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days ?

(a) 15 days

(b) 12 days

(c) 6 days

(d) 10 days

The correct answers to the above question in:

Answer: (c)

Using Rule 1,

MenDaysWorking hours
10186
1512x

where, x is working hrs/days

∴ ${15 : 10}/{12 : 18}]$ : : 6 : x

15 × 12 × x = 10 × 18 × 6

$x = {10 × 18 × 6}/{15 × 12} = 6$ hours

Practice time & work (Model 7 Working with individual wages) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more working with individual wages Based Quantitative Aptitude Questions and Answers

Question : 1

If the work done by (x –1) men in (x + 1) days is to the work done by (x + 2) men in (x - 1) days are in the ratio 9 : 10, then the value of x is equal to :

a) 8

b) 7

c) 5

d) 6

Answer: (a)

Using Rule 1,

${M_1D_1}/W_1 = {M_2D_2}/W_2$

$W_1/W_2 = {M_1D_1}/{M_2D_2}$

$9/10 = {(x - 1)(x + 1)}/{(x + 2)(x - 1)} = {x + 1}/{x + 2}$

10x + 10 = 9x + 18

x = 18 - 10 = 8

Question : 2

‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is

a) 15

b) 12

c) 6

d) 10

Answer: (b)

MenDays
x30
x + 620

x + 6 : x : : 30 : 20

${x + 6}/x = 30/20 = 3/2$

2x + 12 = 3x

3x - 2x = 12 ⇒ x = 12

Using Rule 1,

Here, $M_1 = x, D_1 = 30, M_2 = x + 6, D_2$ = 20

$M_1D_1 = M_2D_2$

x × 30 = (x + 6) × 20

$3x = 2x + 12$ ⇒ x = 12

Question : 3

Some carpenters promised to do a job in 9 days but 5 of them were absent and remaining men did the job in 12 days. The original number of carpenters was

a) 18

b) 16

c) 24

d) 20

Answer: (d)

Using Rule 1,

Let the original number of carpenters be x.

$M_1D_1 = M_2D_2$

x × 9 = (x - 5) × 12

9x = 12x - 60

3x = 60 ⇒ x = 20

Question : 4

If 80 persons can finish a work within 16 days by working 6 hours a day, the number of hours a day, should 64 persons work to finish that very job within 15 days is :

a) 6 hrs.

b) 8 hrs.

c) 5 hrs.

d) 7 hrs.

Answer: (b)

Using Rule 1,

$M_1D_1T_1 = M_2D_2T_2$

80 × 16 × 6 = 64 × 15 × $T_2$

$T_2 = {80 × 16 × 6}/{64 × 15} = 8$ hours

Question : 5

5 persons can prepare an admission list in 8 days working 7 hours a day. If 2 persons join them so as to complete the work in 4 days, they need to work per day for :

a) 8 hours

b) 12 hours

c) 10 hours

d) 9 hours

Answer: (c)

Using Rule 1,

More persons, less working hours/day

Less days, more working hours/ day

∴ ${Persons - {7 : 5}}/{Days - {4 : 8}}]$ : : 7 : x

where, x is hours/days

7 × 4 × x = 5 × 8 × 7

$x = {5 × 8 × 7}/{7 × 4} = 10$ hours

Question : 6

18 boys can do a piece of work in 24 days. In how many days can 27 boys do the same work ?

a) 48 days

b) 23 days

c) 16 days

d) 32 days

Answer: (c)

Using Rule 1,

$M_1D_1 = M_2D_2$

18 × 24 = 27 × $D_2$

$D_2 = {18 × 24}/27$ = 16 days

Recently Added Subject & Categories For All Competitive Exams

Syllogism Practice Questions Answers PDF - IBPS Clerk 2024

Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam

16-May-2024 by Careericons

Continue Reading »

IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers

Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download

14-May-2024 by Careericons

Continue Reading »

New Cloze Test Questions and Answers PDF - IBPS Clerk 2024

The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF

13-May-2024 by Careericons

Continue Reading »

Mensuration Aptitude Practice Mcq Questions IBPS Clerk 2024

Most Important Practice Mensuration aptitude multiple choice questions, answers with detailed solutions, PDF beginner to advanced for IBPS Clerk Prelims 2024

11-May-2024 by Careericons

Continue Reading »