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
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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
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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
Remaining work =1 -1=4.
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
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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
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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
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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
B's 1 day's work =1.
12
C's 1 day's work =1-1+1=1-7=5.
4161244848
So, C alone can do the work in48= 93days.
55
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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
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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
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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
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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
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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
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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
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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
Remaining work =1 -37=23.
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
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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
Remaining work =1 -2=1.
33
Now,1work is done by A in 1 day.
18
1work is done by A in18 x1= 6 days.
33
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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
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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
Remaining work =1 -2=1.
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
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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
Remaining work =1 -1=4.
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
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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
B's 1 day's work =10.
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
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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
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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
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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
Remaining work =1 -1=2.
33
Now,1work is done by A in 1 day.
15
2work will be done by a in15 x2= 10 days.
33
Hence, the total time taken = (10 + 2) = 12 days.View
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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
Remaining work =1 -5=3.
88
A's 1 day's work =1-1=1.
162448
Now,1work is done by A in 1 day.
48
So,3work will be done by A in48 x3= 18 days.
88
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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
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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
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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
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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
Remaining work =1 -1=4.
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
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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
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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.
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
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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
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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
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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:
A.14 yearsB.18 years
C.20 yearsD.22 years
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
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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?
A.16 yearsB.18 years
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:
A.12 yearsB.14 years
C.18 yearsD.20 years
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
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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 ?
A.12 yearsB.15 years
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?
A.16 yearsB.18 years
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
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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
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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?
A.32 yearsB.36 years
C.40 yearsD.48 years
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
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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.
.