First Naukri Time and Work Quiz -1

Ans: Prerana + Ranit + Soumyo = 6

Ranit = 35

Prerana = (35 – 15) = 20

Total units of work = 420

(Prerana + Ranit + Soumyo)’s one day work = 70 units

Prerana’s one day work = 21 units

⇒ Ranit = 12 units

Soumyo’s one day work = 70 – 33 = 37 units

Soumyo’s efficiency to do the work alone = \frac{75}{100} \times 37

Time required to complete the work = \frac{420 × 4}{37 × 3}

  = \frac{560}{37} days

Ans: Total amount earned by Rina , Mina, and Sita in 6 days =Rs 480

The amount earned by them in 1 day = \frac{480}{6} = Rs 80

Amount of money earned is proportional to the amount of work done

Let work done by Rina , Mina, and Sita be 4x, 5x and 7x.

∴ Total work done by Rina , Mina, and Sita together= 16x

Work done by Mina = 5x

Daily income of Mina = \frac{5x}{16x} \times 80 = Rs. 25

Ans: Let the time both of them together will take to make the wall hanging be x days

Time taken by Farhana alone = x + 3 days

Time taken by Sulagna alone = x + 12 days

One day work when they both work together = Sum of their individual per day work

\frac{1}{x} = \frac{1}{(x+12)} + \frac{1}{(x+3)}

x^{2} + 15x + 36 = 2x^{2} + 15x

x = 6

Time is taken by Farhana to make a wall hanging alone = 6 + 3 = 9 days

Ans: Let x, y and z are the one day’s work of Irfan, Modi and Obama respectively.

According to the question,

⇒ 3 × (x + y + z) = 37% of the work

⇒ 7 × (x + y) = 63%

⇒ x + y = 9%

∵ The ratio of efficiency of Irfan and Modi is 4 : 5,

∴ 5x = 4y and x = 4%, y = 5% work per day.

It implies Irfan can complete the job in 25 days and Modi in 20 days.

In 3 days (x + y + z) do 37% of the work

Out of this Irfan and Modi would do 27% work = (3 × 9%) of the work.

Remaining work = 37% – 27% = 10% (done by Obama in 3 days)

∴ The work of z = latex]\frac{10}{3} = 3.33%[/latex] work per day

∴ Jinping is the slowest and he would do the work in 30 days

Ans: Let the initial number of men be m

Total work = 4 m

m + (m – 20) + (m – 40) + …… = 4 m

\frac{7}{2} \times (2m + 6 (- 20)) = 4m

m =140

Ans: Total units of work = 420

(Raja + Akash + Raima)’s one hour’s work = 70 units

Raja’s one hour’s work = 21 units

⇒ Akash = 12 units

Raima’s one hour’s work = 70 – 33 = 37 units

Raima’s efficiency to do the work alone = 3 \times \frac{37}{4}

∴ Time reqd. to complete the work = 420 \times \frac{4}{37 \times 3} = \frac{560}{37} hours.

Ans: Total work = 60 {LCM of 20, 12}

A/day = 3; B/day = 5; together = 8/ days = No. of days = 7.5 days

8th prime number date starting from 29th April

29th April, 2nd May, 3rd May, 5th May, 7th May, 11th May, 13th May, 17th May

Ans: Let us represent the efficiency of Arun, Arnab and Ashish by A, B and V respectively.

According to the question,

\frac{B}{A +V} = \frac{1}{3} …… (1)

\frac{V}{A + B} =  \frac{1}{4} …… (2)

To equate the ratio in the above equations, let us multiply (1) by 5 and (2) by 4.

So, A : B : V = 11 : 5 : 4

11 + 5 + 4 = 20 units

In 5 days, task completed = 20 × 5 = 100 units (total task)

Time taken by Arnab and Asish to complete the task = \frac{100}{9} days

Ans: Arpan does 3/5th of work in 15 days.

Time Taken by Arpan to complete the work

= \frac{5}{3} \times 15 = 25 days

Efficiency of Bikash is 25% more than that of Arpan.

If Work done by Arpan in one day = 4, then work done by Bikash in one day = 5

Ratio of time taken by Arpan and Bikash = 5 : 4

Time taken by Bikash to complete the work

= \frac{4}{5} \times 25 = 20 days

Arpan and Bikash worked for five days.

Total work Completed by Arpan and Bikash in 5 days = 5(\frac{1}{25} + \frac{1}{20})

                                  = \frac{9}{20}

Work Left = \frac{11}{20} which  is done by Chandra in 11 days.

Time taken by Chandra to complete the whole work = \frac{20}{11} \times 11 = 20 days

Ratio of Efficiency of Arpan and Chandra = \frac{20}{25}

Efficiency of Chandra is 25 % more than that of Arpan.

Ans: Work done by Jay alone in 4 days = 1 x 4 /10

= 2/5

Work done by both in one day = (1 /10 + 1/12)

= 11/60

(6/10) th of work is done in   =  (6/10)/(11/60) =  (36/11) = 3.2727  days.

So , the entire work took 4+3.2727 = 7.2727 days. right from start till the end.