31.  P,Q and R three typists who working simultaneously can type 216 pages in 4 hours.In one hour R can type as many pages more than Q as Q can type more than P.During a period of 5 hours R can type many pages as P can during 7 hours. How many pages does each of them type per hour?


14,17,20
15,17,22
15,18,21
16,18,22


Answer

 Option

Let the number of pages typed in one hour by P,Q, and R be x,y, and z respectively. x+y+z = 216/4 = x+y+z = 54 .........(1) z-y = y-x = 2y = x+z .........(2) 5z = 7x = x = 5/7z .........(3) solving (1) (2) and (3) we get x = 15; y= 18 ; z = 21

Workspace

Report
Mail id: Report Error:

Answer Workspace Report

32.  2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work?


13 1/2 days
13 days
12 1/2 days
10 days


Answer

 Option

Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y then, 2x+3y = 1/10 and 3x+2y = 1/8 solving we get : x= 7/200 and y = 1/100 (2 men + 1 boy)'s 1 day work = (2*7/200+ 1*1/100) = 16/200 = 2/25 so 2 men and 1 boy together can finish the work in 25/2 = 12 1/2 days.

Workspace

Report
Mail id: Report Error:

Answer Workspace Report

33.  45 men can complete a work in 16 days. Six days after they started working 30 more men joined them.How many days will they now take to complete the remaining work?


5 days
7 days
8 days
6 days


Answer

 Option

(45*16) men can complete a work in 1 day 1 man's 1 day's work = 1/720 45 men's 6 day's work =(1/16*6) = 3/8, Remaining work = ( 1- 3/8) = 5/8 75 men's 1 day's work = 75/720 = 5/48 Now 5/48 work is done by them in 1 day 5/8 work is done by them in(48/5*5/8) = 6 days

Workspace

Report
Mail id: Report Error:

Answer Workspace Report

34.  A and B undertake to do a piece of work for Rs.600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C they finish it in 3 days.Find the share of each?


Rs.65
Rs.68
Rs.75
Rs.70


Answer

 Option

C's 1 day's work = 1/3 - (1/6 + 1/ 8) = 1/24 A: B : C = ratio of their 1 day's work = 1/6: 1/8 : 1/24 = 4 : 3: 1 A's share = Rs.(600 * 4/8) = Rs.300, B's share = Rs.(600*3/8) = Rs.225 C's share = Rs.[(600-(300+225)] = Rs.75

Workspace

Report
Mail id: Report Error:

Answer Workspace Report

35.  A can do a piece of work in 80 days.He works at it for 10 days and then B alone finishes the remaining work in 42 days.In how much time will A and B working together finish the work?


25 days
30 days
32 days
26 days


Answer

 Option

Work done by A in 10 days = (1/80 * 10) =1/8 Remaining work = (1- 1/8) = 7/8 Now 7/8 work is done by B in 42 days Whole work will be done by B in (42*8/7) = 48 days A's 1 day's work = 1/80 and B's 1 day's work = 1/48 (A+B)'s 1 day's work = (1/80 + 1/48) = 8/240 = 1/30 Hence both will finish the work in 30 days.

Workspace

Report
Mail id: Report Error:

Answer Workspace Report