tnpsc group 2 maths questions answer key

TNPSC Group 2 Maths Questions Answer Key On 01.12.2013 (Part 2)

In a mixture of 28 litres, the ratio and water is 5 : 2. If 2 litres of water is added to the mixture, find the ratio milk in the new mixture.(1)2 : 1(2)1 : 2(3)2 : 3(4)1 : 3HideAnswer : 2 : 1

2)A, B and C together can finish a piece of work in 4 days. A alone can do in 12 days and B alone in 18 days. How many days will be taken by C to do it alone ?(1)10 days(2)12 days(3)9 days(4)18 daysHideAnswer : 18 days

3)5% income of X is equal to 15% income of Y and 10% income of Y is equal to 20% income of Z. If income of Z is Rs. 3,000 then total income of X, Y, Z in Rupees is :(A)Rs. 18,000(B)Rs.12,000(C)Rs.27,000(D)Rs.16,000HideAnswer : Rs. 27,000

4)Divide Rs. 680 among A, B, C so that A gets 3 times more to B and B gets 4 times to C :(A)Rs. 160, Rs. 40, Rs. 480(B)Rs. 480, Rs. 160, Rs. 40(C)Rs. 480, Rs. 40, Rs. 160(D)Rs. 160, Rs. 480, Rs. 40HideAnswer : Rs. 480, Rs. 160, Rs. 40

5)The length breath and height of a room are respectively 12 metres, 9 metres and 6 metres. How many cubic boxes are needed to fill the room if the side of each box is 1.5 metres?(A)1072(B)648(C)324(D)192HideAnswer : B) 648

6)One litre of water is added to 5 litres of a 20 % solution of alcohol in water.The strength of alcohol in the new solution is :(A)16(2/3) %(B)15%(C)20%(D)16%HideAnswer : 16(2/3) %

7)If the cost of 12 Articles is equal to the selling price of 10 Articles, the profit percentage in the transaction is :(A)18%(B)16(2/3) %(C)20%(D)25%HideAnswer : 20%

8)The difference between the present ages of P and Q is 8 yrs and the ratio their present ages is 2 : 3 respectively. What is Ps present age ?(A)16 yrs(B)24 yrs(C)12 yrs(D)30 yrsHideAnswer : 16 yrs

TNPSC Group 2 Maths Questions Answer Key On 01.12.2013 (Part 1)

A, B, C start at the same time in the same direction to run around a rectangular garden. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds starting at the same point. After what time will they meet at the starting point ?(1)20 minutes 18 seconds(2)40 minutes 20 seconds(3)46 minutes 12 seconds(4)30 minutesHideAnswer : 46 minutes 12 seconds

138)Find the greatest number which will divide 2112 and 2792 leaving the remainder 4 in each :(1)63(2)64(3)68(4)78HideAnswer : 68

139)A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs. 300 more. Find the sum.(1)Rs. 5,000(2)Rs. 4,000(3)Rs. 10,000(4)Rs. 1,000HideAnswer : Rs. 5,000

140)A and B can do a piece do a piece of work in 10 days: B and C in 15 days: C and A in 18 days. In how many days can B alone do it?(1)30 days(2)20 days(3)12 days(4)18 daysHideAnswer : 18 days

141)In a certain code LABOUR is written as KBAPTS. How is CANDID written in that code ?(1)DBOEJE(2)BBMCHC(3)DZOCJC(4)BBMEHEHideAnswer : BBMEHE

177)If the radius of a circle is increased by 25% then its area is increased by :(1)50%(2)25%(3)56.25%(4)46.25%HideAnswer : 56.25%

180) If As height is 25% less than that of B, then how much percent is Bs height more than that of A ?(1)50 %(2)45%(3)22%(4)33)%HideAnswer : 33)%

181)Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If the interest rate is 3%, it would amount to :(1)Rs. 1,092(2)Rs. 992(3)Rs. 1,882(4)Rs. 1,182HideAnswer : Rs. 992

182)A table is sold for Rs. 414 at a profit of 15 %. How much did it cost ?(1)Rs. 400(2)Rs. 314(3)Rs. 326(4)Rs. 360HideAnswer : Rs. 360

1. The Govt of India has decided to declare which of the following rivers a National River?

a) Brahmaputrab) Yamunac) Gangad) Kaverie) None of these

2. Who amongst the folIowing economists gave the concept of "economies of scale", which says "many goods and services can be produced more cheaply in long series"?

a) Edward C Prescottb) Amartya Senc) Gary S Beckerd) Edmund S Phelpse) Paul Krugman

3. Very often we read in newspapers/magazines about "Sovereign Wealth Funds". Which of the following is/ are the correct description of the same?

(A) These are the funds or the reserves of a government or central bank of a country which are invested further to earn profitable returns.(B) These are the funds which were accumulated by some people over the years but were not put in active circulation as they retain them as Black Money for several years.(C) The funds which are created to be used as relief funds or bailout packages are known as sovereign funds.

a) Both B & Conlyb) Only Bc) Only Cd) Only Ae) None of these

4. Very often we read about Special economic Zones (SEZs) in newspapers. What is the purpose of promoting SEZs in India?

(A) They are established to promote exports.(B) They are established to attract investments from foreign countries.(C) They are established to help the poorest of the poor in India as the activities of these zones are reserved only forthe poors and those living below poverty line.

a) Only Ab) Only Bc) Only Cd) Both A & B onlye) None of these

5. The ratio of the Cash Reserves that the banks are required to keep with the RBI is known as

a) Liquidity Ratiob) SLRc) CRRd) Net Demand & Time Liabilitye) None of these

6. The-Govt ofIndia in order to provide some relief to the exporters announced a relief-package of Rs

a) 1000 crb) 2500 crc) 4000 crd) 5000 cre) 7000 cr

7. The availability of cash and other cash-like marketable instruments that are useful in purchases and investments are commonly known as

a) Cash crunchb) Liquidityc) Creditd) Marketabilitye) None of these

8. The White Tiger is a book written by

a) Amitav Ghoshb) Arundhati Royc) VS Naipauld) Kiran Desaie) Aravind Adiga

9. Besides USA and France, India has a Civil Nuclear Deal with

a) Britainb) Russiac) Germanyd) Canadae) Australia

10. Jnanpith Award is given for excellence in the field of

a) Musicb) Literaturec) Sportsd) Filmse) Social Services

Answers -

1.(c)2.(e)3.(d)4.(d)5.(c)6.(d)7.(b)8.(e)9.(b)10.(b)

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

A.4 daysB.6 days

C.8 daysD.12 days

Answer & ExplanationAnswer:OptionCExplanation:(A + B + C)'s 1 day's work =1;

6

(A + B)'s 1 day's work =1;

8

(B + C)'s 1 day's work =1.

12

(A + C)'s 1 day's work=2 x1-1+1

6812

=1-5

324

=3

24

=1.

8

So, A and C together will do the work in 8 days.View AnswerWorkspaceReportDiscuss in Forum

27.A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

A.5 daysB.6 days

C.10 daysD.101days

2

Answer & ExplanationAnswer:OptionCExplanation:(B + C)'s 1 day's work =1+1=7.

91236

Work done by B and C in 3 days =7x 3=7.

3612

Remaining work =1 -7=5.

1212

Now,1work is done by A in 1 day.

24

So,5work is done by A in24 x5= 10 days.

1212

View AnswerWorkspaceReportDiscuss in Forum

28.X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

A.131days

3

B.15 days

C.20 daysD.26 days

Answer & ExplanationAnswer:OptionAExplanation:Work done by X in 8 days =1x 8=1.

405


55

Now,4work is done by Y in 16 days.

5

Whole work will be done by Y in16 x5= 20 days.

4

X's 1 day's work =1, Y's 1 day's work =1.

4020

(X + Y)'s 1 day's work =1+1=3.

402040

Hence, X and Y will together complete the work in40= 131days.

33


29.A and B can do a job together in 7 days. A is 1times as efficient as B. The same job can be done by A alone in :

A.91days

3

B.11 days

C.121days

4

D.161days

3

Answer & ExplanationAnswer:OptionBExplanation:(A's 1 day's work) : (B's 1 day's work) =7: 1 = 7 : 4.

4

Let A's and B's 1 day's work be 7xand 4xrespectively.Then, 7x+ 4x=1 11x=1 x=1.

7777

A's 1 day's work =1x 7=1.

7711


30.A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A.30 daysB.40 days

C.60 daysD.70 days

Answer & ExplanationAnswer:OptionCExplanation:Let A's 1 day's work =xand B's 1 day's work =y.Then,x+y=1and 16x+ 44y= 1.

30

Solving these two equations, we get:x=1andy=1

6060

B's 1 day's work =1.

60

Hence, B alone shall finish the whole work in 60 days.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

A.1

4

B.1

10

C.7

15

D.8

15

Answer & ExplanationAnswer:OptionDExplanation:A's 1 day's work =1;

15

B's 1 day's work =1;

20

(A + B)'s 1 day's work =1+1=7.

152060

(A + B)'s 4 day's work =7x 4=7.

6015

Therefore, Remaining work =1 -7=8.

1515


2.A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

A.91days

5

B.92days

5

C.93days

5

D.10

Answer & ExplanationAnswer:OptionCExplanation:(A + B + C)'s 1 day's work =1,

4

A's 1 day's work =1,

16


12

C's 1 day's work =1-1+1=1-7=5.

4161244848

So, C alone can do the work in48= 93days.

55


3.A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A.12 daysB.15 days

C.16 daysD.18 days

Answer & ExplanationAnswer:OptionBExplanation:A's 2 day's work =1x 2=1.

2010

(A + B + C)'s 1 day's work =1+1+1=6=1.

2030606010

Work done in 3 days =1+1=1.

10105

Now,1work is done in 3 days.

5

Whole work will be done in (3 x 5) = 15 days.View AnswerWorkspaceReportDiscuss in Forum

4.A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A.20 daysB.221days

2

C.25 daysD.30 days

Answer & ExplanationAnswer:OptionBExplanation:Ratio of times taken by A and B = 1 : 3.The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.If difference of time is 2 days, B takes 3 days.If difference of time is 60 days, B takes3x 60= 90 days.

2

So, A takes 30 days to do the work.A's 1 day's work =1

30

B's 1 day's work =1

90

(A + B)'s 1 day's work =1+1=4=2

30909045

A and B together can do the work in45= 221days.

22


5.A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A.Rs. 375B.Rs. 400

C.Rs. 600D.Rs. 800

Answer & ExplanationAnswer:OptionBExplanation:C's 1 day's work =1-1+1=1-7=1.

36832424

A's wages : B's wages : C's wages =1:1:1= 4 : 3 : 1.

6824

C's share (for 3 days) = Rs.3 x1x 3200= Rs. 400.

24

6.If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

A.4 daysB.5 days

C.6 daysD.7 days

Answer & ExplanationAnswer:OptionAExplanation:Let 1 man's 1 day's work =xand 1 boy's 1 day's work =y.Then, 6x+ 8y=1and 26x+ 48y=1.

102

Solving these two equations, we get :x=1andy=1.

100200

(15 men + 20 boy)'s 1 day's work =15+20=1.

1002004

15 men and 20 boys can do the work in 4 days.View AnswerWorkspaceReportDiscuss in Forum

7.A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

A.8 hoursB.10 hours

C.12 hoursD.24 hours

Answer & ExplanationAnswer:OptionCExplanation:A's 1 hour's work =1;

4

(B + C)'s 1 hour's work =1;

3

(A + C)'s 1 hour's work =1.

2

(A + B + C)'s 1 hour's work =1+1=7.

4312

B's 1 hour's work =7-1=1.

12212

B alone will take 12 hours to do the work.View AnswerWorkspaceReportDiscuss in Forum

8.A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

A.15 daysB.20 days

C.25 daysD.30 days

Answer & ExplanationAnswer:OptionCExplanation:(A + B)'s 1 day's work =1

10

C's 1 day's work =1

50

(A + B + C)'s 1 day's work =1+1=6=3. .... (i)

10505025

A's 1 day's work = (B + C)'s 1 day's work .... (ii)From (i) and (ii), we get: 2 x (A's 1 day's work) =3

25

A's 1 day's work =3.

50

B's 1 day's work1-3=2=1.

10505025

So, B alone could do the work in 25 days.View AnswerWorkspaceReportDiscuss in Forum

9.A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A.23 daysB.37 days

C.37D.40 days

Answer & ExplanationAnswer:OptionCExplanation:Whole work is done by A in20 x5= 25 days.

4

Now,1 -4i.e.,1work is done by A and B in 3 days.

55

Whole work will be done by A and B in (3 x 5) = 15 days.A's 1 day's work =1, (A + B)'s 1 day's work =1.

2515

B's 1 day's work =1-1=4=2.

152515075

So, B alone would do the work in75= 371days.

22


10.A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

A.11:30 A.M.B.12 noon

C.12:30 P.M.D.1:00 P.M.

Answer & ExplanationAnswer:OptionDExplanation:(P + Q + R)'s 1 hour's work =1+1+1=37.

81012120

Work done by P, Q and R in 2 hours =37x 2=37.

12060


6060

(Q + R)'s 1 hour's work =1+1=11.

101260

Now,11work is done by Q and R in 1 hour.

60

So,23work will be done by Q and R in60x23=23hours2 hours.

60116011

So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.View AnswerWorkspaceReportDiscuss in Forum

11.A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

A.5B.51

2

C.6D.8

Answer & ExplanationAnswer:OptionCExplanation:B's 10 day's work =1x 10=2.

153


33


18

1work is done by A in18 x1= 6 days.

33


12.4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A.35B.40

C.45D.50

Answer & ExplanationAnswer:OptionBExplanation:Let 1 man's 1 day's work =xand 1 woman's 1 day's work =y.Then, 4x+ 6y=1and 3x+ 7y=1.

810

Solving the two equations, we get:x=11,y=1

400400

1 woman's 1 day's work =1.

400

10 women's 1 day's work =1x 10=1.

40040

Hence, 10 women will complete the work in 40 days.View AnswerWorkspaceReportDiscuss in Forum

13.A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

A.40B.50

C.54D.60

Answer & ExplanationAnswer:OptionDExplanation:(A + B)'s 20 day's work =1x 20=2.

303


33

Now,1work is done by A in 20 days.

3

Therefore, the whole work will be done by A in (20 x 3) = 60 days.

14.P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

A.55

11

B.56

11

C.65

11

D.66

11

Answer & ExplanationAnswer:OptionAExplanation:P can complete the work in (12 x 8) hrs. = 96 hrs.Q can complete the work in (8 x 10) hrs. = 80 hrs.P's1 hour's work =1and Q's 1 hour's work =1.

9680

(P + Q)'s 1 hour's work =1+1=11.

9680480

So, both P and Q will finish the work in480hrs.

11

Number of days of 8 hours each =480x1=60days = 55days.

1181111


15.10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

A.3B.5

C.7D.Cannot be determined

E.None of these

Answer & ExplanationAnswer:OptionCExplanation:1 woman's 1 day's work =1

70

1 child's 1 day's work =1

140

(5 women + 10 children)'s day's work =5+10=1+1=1

7014014147

5 women and 10 children will complete the work in 7 days.

16.X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A.6 daysB.10 days

C.15 daysD.20 days

Answer & ExplanationAnswer:OptionBExplanation:Work done by X in 4 days =1x 4=1.

205


55

(X + Y)'s 1 day's work =1+1=8=2.

20126015

Now,2work is done by X and Y in 1 day.

15

So,4work will be done by X and Y in15x4= 6 days.

525

Hence, total time taken = (6 + 4) days = 10 days.View AnswerWorkspaceReportDiscuss in Forum

17.A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

A.11 daysB.13 days

C.203days

17

D.None of these

Answer & ExplanationAnswer:OptionBExplanation:Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takesxdays to do the work.Then, 10 : 13 :: 23 :x x=23 x 13 x=299.

1010

A's 1 day's work =1;

23


299

(A + B)'s 1 day's work =1+10=23=1.

2329929913

Therefore, A and B together can complete the work in 13 days.View AnswerWorkspaceReportDiscuss in Forum

18.Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A.7 hours 30 minutesB.8 hours

C.8 hours 15 minutesD.8 hours 25 minutes

Answer & ExplanationAnswer:OptionCExplanation:Number of pages typed by Ravi in 1 hour =32=16.

63

Number of pages typed by Kumar in 1 hour =40= 8.

5

Number of pages typed by both in 1 hour =16+ 8=40.

33

Time taken by both to type 110 pages =110 x3hours

40

= 81hours (or) 8 hours 15 minutes.

4


19.A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A.1day

24

B.7day

24

C.33days

7

D.4 days

Answer & ExplanationAnswer:OptionCExplanation:Formula:If A can do a piece of work inndays, then A's 1 day's work =1.

n

(A + B + C)'s 1 day's work =1+1+1=7.

2461224

Formula:If A's 1 day's work =1,then A can finish the work inndays.

n

So, all the three together will complete the job in24days=33days.

77


20.Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

A.15B.16

C.18D.25

Answer & ExplanationAnswer:OptionBExplanation:Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.Suppose Tanya takesxdays to do the work.5 : 4::20 :xx=4 x 20

5

x= 16 days.Hence, Tanya takes 16 days to complete the work.

21.A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

A.4 daysB.6 days

C.8 daysD.12 days

Answer & ExplanationAnswer:OptionBExplanation:Suppose A, B and C takex,xandxdays respectively to finish the work.

23

Then,1+2+3=1

xxx2

6=1

x2

x= 12.So, B takes (12/2) = 6 days to finish the work.View AnswerWorkspaceReportDiscuss in Forum

22.A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

A.8 daysB.10 days

C.12 daysD.15 days

Answer & ExplanationAnswer:OptionCExplanation:(A + B)'s 1 day's work =1+1=1.

15106

Work done by A and B in 2 days =1x 2=1.

63


33


15

2work will be done by a in15 x2= 10 days.

33

Hence, the total time taken = (10 + 2) = 12 days.View AnswerWorkspaceReportDiscuss in Forum

23.A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

A.18 daysB.24 days

C.30 daysD.36 days

Answer & ExplanationAnswer:OptionAExplanation:2(A + B + C)'s 1 day's work =1+1+1=15=1.

3024201208

Therefore, (A + B + C)'s 1 day's work =1=1.

2 x 816

Work done by A, B, C in 10 days =10=5.

168


88

A's 1 day's work =1-1=1.

162448


48

So,3work will be done by A in48 x3= 18 days.

88


24.A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

A.4 daysB.6 days

C.8 daysD.18 days

Answer & ExplanationAnswer:OptionAExplanation:Ratio of rates of working of A and B = 2 : 1.So, ratio of times taken = 1 : 2.B's 1 day's work =1.

12

A's 1 day's work =1; (2 times of B's work)

6

(A + B)'s 1 day's work =1+1=3=1.

612124

So, A and B together can finish the work in 4 days.View AnswerWorkspaceReportDiscuss in Forum

25.Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

A.3 : 4B.4 : 3

C.5 : 3D.Data inadequate

Answer & ExplanationAnswer:OptionBExplanation:(20 x 16) women can complete the work in 1 day.1 woman's 1 day's work =1.

320

(16 x 15) men can complete the work in 1 day.1 man's 1 day's work =1

240

So, required ratio=1:1

240320

=1:1

34

= 4 : 3 (cross multiplied)

26.A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

A.4 daysB.6 days

C.8 daysD.12 days

Answer & ExplanationAnswer:OptionCExplanation:(A + B + C)'s 1 day's work =1;

6

(A + B)'s 1 day's work =1;

8

(B + C)'s 1 day's work =1.

12

(A + C)'s 1 day's work=2 x1-1+1

6812

=1-5

324

=3

24

=1.

8

So, A and C together will do the work in 8 days.View AnswerWorkspaceReportDiscuss in Forum

27.A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

A.5 daysB.6 days

C.10 daysD.101days

2

Answer & ExplanationAnswer:OptionCExplanation:(B + C)'s 1 day's work =1+1=7.

91236

Work done by B and C in 3 days =7x 3=7.

3612


1212


24

So,5work is done by A in24 x5= 10 days.

1212


28.X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

A.131days

3

B.15 days

C.20 daysD.26 days

Answer & ExplanationAnswer:OptionAExplanation:Work done by X in 8 days =1x 8=1.

405


55

Now,4work is done by Y in 16 days.

5

Whole work will be done by Y in16 x5= 20 days.

4

X's 1 day's work =1, Y's 1 day's work =1.

4020

(X + Y)'s 1 day's work =1+1=3.

402040

Hence, X and Y will together complete the work in40= 131days.

33


29.A and B can do a job together in 7 days. A is 1times as efficient as B. The same job can be done by A alone in :

A.91days

3

B.11 days

C.121days

4

D.161days

3

Answer & ExplanationAnswer:OptionBExplanation:(A's 1 day's work) : (B's 1 day's work) =7: 1 = 7 : 4.

4

Let A's and B's 1 day's work be 7xand 4xrespectively.Then, 7x+ 4x=1 11x=1 x=1.

7777

A's 1 day's work =1x 7=1.

7711


30.A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A.30 daysB.40 days

C.60 daysD.70 days

Answer & ExplanationAnswer:OptionCExplanation:Let A's 1 day's work =xand B's 1 day's work =y.Then,x+y=1and 16x+ 44y= 1.

30

Solving these two equations, we get:x=1andy=1

6060


60

Hence, B alone shall finish the whole work in 60 days.

1.Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

A.2 timesB.21times

2

C.23times

4

D.3 times

Answer & ExplanationAnswer:OptionAExplanation:Let Ronit's present age bexyears. Then, father's present age =(x+ 3x) years = 4xyears.(4x+ 8) =5(x+ 8)

2

8x+ 16 = 5x+ 403x= 24x= 8.Hence, required ratio =(4x+ 16)=48= 2.

(x+ 16)24


2.The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A.4 yearsB.8 years

C.10 yearsD.None of these

Answer & ExplanationAnswer:OptionAExplanation:Let the ages of children bex, (x+ 3), (x+ 6), (x+ 9) and (x+ 12) years.Then,x+ (x+ 3) + (x+ 6) + (x+ 9) + (x+ 12) = 505x= 20x= 4.Age of the youngest child =x= 4 years.View AnswerWorkspaceReportDiscuss in Forum

3.A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

A.14 yearsB.19 years

C.33 yearsD.38 years

Answer & ExplanationAnswer:OptionAExplanation:Let the son's present age bexyears. Then, (38 -x) =x2x= 38.x= 19.Son's age 5 years back (19 - 5) = 14 years.View AnswerWorkspaceReportDiscuss in Forum

4.A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

A.7B.8

C.9D.10

E.11

Answer & ExplanationAnswer:OptionDExplanation:Let C's age bexyears. Then, B's age = 2xyears. A's age = (2x+ 2) years.(2x+ 2) + 2x+x= 275x= 25x= 5.Hence, B's age = 2x= 10 years.View AnswerWorkspaceReportDiscuss in Forum

5.Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

A.24B.27

C.40D.Cannot be determined

E.None of these

Answer & ExplanationAnswer:OptionAExplanation:Let the present ages of Sameer and Anand be 5xyears and 4xyears respectively.Then,5x+ 3=11

4x+ 39

9(5x+ 3) = 11(4x+ 3)45x+ 27 = 44x+ 3345x- 44x= 33 - 27x= 6.Anand's present age = 4x= 24 years.

6.A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:



Answer & ExplanationAnswer:OptionDExplanation:Let the son's present age bexyears. Then, man's present age = (x+ 24) years.(x+ 24) + 2 = 2(x+ 2)x+ 26 = 2x+ 4x= 22.View AnswerWorkspaceReportDiscuss in Forum

7.Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?


C.20 yearsD.Cannot be determined

E.None of these

Answer & ExplanationAnswer:OptionAExplanation:Let the ages of Kunal and Sagar 6 years ago be 6xand 5xyears respectively.Then,(6x+ 6) + 4=11

(5x+ 6) + 410

10(6x+ 10) = 11(5x+ 10)5x= 10x= 2.Sagar's present age = (5x+ 6) = 16 years.View AnswerWorkspaceReportDiscuss in Forum

8.The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:



Answer & ExplanationAnswer:OptionDExplanation:Let the present ages of son and father bexand (60 -x) years respectively.Then, (60 -x) - 6 = 5(x- 6)54 -x= 5x- 306x= 84x= 14.Son's age after 6 years = (x+ 6) = 20 years..View AnswerWorkspaceReportDiscuss in Forum

9.At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?


C.19 and halfD.21 years

Answer & ExplanationAnswer:OptionBExplanation:Let the present ages of Arun and Deepak be 4xyears and 3xyears respectively. Then,4x+ 6 = 26 4x= 20x= 5.Deepak's age = 3x= 15 years.View AnswerWorkspaceReportDiscuss in Forum

10.Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?


C.28 yearsD.24.5 years

E.None of these

Answer & ExplanationAnswer:OptionDExplanation:Let Rahul's age bexyears.Then, Sachin's age = (x- 7) years.x- 7=7

x9

9x- 63 = 7x2x= 63x= 31.5Hence, Sachin's age =(x- 7) = 24.5 years.

11.The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A.8, 20, 28B.16, 28, 36

C.20, 35, 45D.None of these

Answer & ExplanationAnswer:OptionBExplanation:Let their present ages be 4x, 7xand 9xyears respectively.Then, (4x- 8) + (7x- 8) + (9x- 8) = 5620x= 80x= 4.Their present ages are 4x= 16 years, 7x= 28 years and 9x= 36 years respectively.View AnswerWorkspaceReportDiscuss in Forum

12.Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A.2 yearsB.4 years

C.6 yearsD.8 years

Answer & ExplanationAnswer:OptionCExplanation:Mother's age when Ayesha's brother was born = 36 years.Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.Required difference = (42 - 36) years = 6 years.View AnswerWorkspaceReportDiscuss in Forum

13.A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?



Answer & ExplanationAnswer:OptionCExplanation:Let the mother's present age bexyears.Then, the person's present age =2xyears.

5

2x+ 8=1(x+ 8)

52

2(2x+ 40) = 5(x+ 8)x= 40.View AnswerWorkspaceReportDiscuss in Forum

14.Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

A.1 yearB.2 years

C.25 yearsD.Data inadequate

E.None of these

Answer & ExplanationAnswer:OptionDExplanation:Given that:

1. The difference of age b/w R and Q = The difference of age b/w Q and T.

2. Sum of age of R and T is 50 i.e. (R + T) = 50.

Question: R - Q = ?.

Explanation:

R - Q = Q - T

(R + T) = 2Q

Now given that, (R + T) = 50

So, 50 = 2Q and therefore Q = 25.

Question is (R - Q) = ?

Here we know the value(age) of Q (25), but we don't know the age of R.

Therefore, (R-Q) cannot be determined.View AnswerWorkspaceReportDiscuss in Forum

15.The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A.5 : 2B.7 : 3

C.9 : 2D.13 : 4

Answer & ExplanationAnswer:OptionBExplanation:Let the ages of father and son 10 years ago be 3xandxyears respectively.Then, (3x+ 10) + 10 = 2[(x+ 10) + 10]3x+ 20 = 2x+ 40x= 20.Required ratio = (3x+ 10) : (x+ 10) = 70 : 30 = 7 : 3.

.

tnpsc group 2 maths questions answer key

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