Latest TCS Aptitude Question SOLUTION: Eshan and Mary each wrote two or three poem every day over a period of time eshan wrote 43 poems while Mary wrote 61. The number of days in this period is..... a) 19 b) 21 c)

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Eshan and Mary each wrote two or three poem every day over a period of time eshan wrote 43 poems while Mary wrote 61. The number of days in this period is.....

a) 19
b) 21
c) 20
d) 18

Asked In TCS (10 years ago)

Solved Ann Theressa Read Solution (15)

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Read Solution (15) :

Ananya Sengupta  (10 years ago)

ans: b)21
suppose, Eshan writes 2poems in first 18days 18*2=36.
2poems in next 2 days 2*2=4, 36+4=40
and 3poems in next 1day 1*3=3, 40+3=43
So, Ultimately he takes (18+2+1) = 21days to write 43 poems.

now suppose, Marry writes 3poems in 1st 18days 18*3=54
2poems in next 2days 2*2=4, 54+4=58
3poems in next 1 day 1*3=3, 58+3=61
So ultimately marry takes (18+2+1)= 21days to write 61poems.

Is this solution Helpfull? Yes (17) | No   

Ann Theressa  (10 years ago)

ans: b)21
let no of days be x
Mary wrote 61 poems in x days (maximum of 3 poems per day)
Therefore x is greater than 20(3*20

Is this solution Helpfull? Yes (12) | No (6)  

Pritam CHoudhury  (10 years ago)

each can write max 3 Poems a day..so let Eshan writing 2 Poems each day which make 2*20=40 and one day he can write 3 Poems.that makes 21 days.
similarly,let Mary write 3 Poems each day.therefore,3*20=60 and one day she write 1 Poem.that makes 21 days.
hence,(b)

Is this solution Helpfull? Yes (4) | No (3)  

vinay kumar varanganti  (10 years ago)

ans 21
eshan wrote 2 poems each day for 20 days ==20*2=40,and 3 poems in one day 3*1=3.
==>20*2+1*3=43 ==>21days
mary wrote 3 poems each day for 19 days ==19*3=57,and 4 poems in 2 days.
==>19*3+2*2 ==>19+2=21 days

Is this solution Helpfull? Yes (3) | No   

Ashish singh  (9 years ago)

total no of poems they wrote ...43 + 61 =104.
total no of poems ther wrote in 1 day = around 5

104/5 = 20.80 or 21

Is this solution Helpfull? Yes (2) | No   

Snehasis  (10 years ago)

Answer is d) 18.

Is this solution Helpfull? Yes (1) | No (11)  

kanakalakshmi satyam  (10 years ago)

total poems are 105.so every 3 or 2 poems are wrote.
so based on option ans is 21
(21*2)+(21*3)=105

Is this solution Helpfull? Yes (1) | No (1)  

Akhila  (10 years ago)

ans is b
since 43/3 is not there
43/2~21
and
61/3~21 61/2 not there
so ans is 21

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aswinkumar  (10 years ago)

Ans is b)21..
because eshan and mary can write max upto 3 poems a day...
eshan wrote 61 poems...21 * 3=63...eshan wrote 3 poems for about 19 days and 2 poems for about 2 days which gives 19*3 + 2*2=57+4=61..
so answer is 21..

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ananth kumar valireddy  (10 years ago)

from the options it is 21, if mary wrote 3 poems a day in 21 days only it possible
19*3=57 wrong
21*3=63 possibilty
2o*3=60 wrong

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Vinoth  (9 years ago)

Let x be no. of days eshan wrote 3 poem
And y no. of days mary wrote 2 poem

d be total days (d=x+y)

43 = 2(d-y) + 3y
61 = 2(d-y) + 3y

if v take equ 2 for all d values

61 = 2(20-y) + 3y
y = 21
y>d
not possible

61 = 2(20-y) + 3y
y = 21
y>d
not possible

61 = 2(18-y) + 3y
y = 25
y>d
not possible

61 = 2(21-y) + 3y
y = 17
y

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Vinoth  (9 years ago)

Let x be no. of days eshan wrote 3 poem
And y no. of days mary wrote 2 poem
d be total days (d=x+y)
43 = 2(d-y) + 3y
61 = 2(d-y) + 3y
if v take equ 2 for all d values
61 = 2(20-y) + 3y
y = 21
y>d
not possible
61 = 2(20-y) + 3y
y = 21
y>d
not possible
61 = 2(18-y) + 3y
y = 25
y>d
not possible
61 = 2(21-y) + 3y
y = 17
y

Is this solution Helpfull? Yes | No   

Vinoth  (9 years ago)

Let x days eshan wrote 3 poem
And y days mary wrote 2 poem
(d=x+y)
43 = 2(d-y) + 3y
61 = 2(d-y) + 3y
for all d values
61 = 2(20-y) + 3y
y = 21
y>d
not possible
61 = 2(20-y) + 3y
y = 21
y>d
not possible
61 = 2(18-y) + 3y
y = 25
y>d
not possible
61 = 2(21-y) + 3y
y = 17
y

Is this solution Helpfull? Yes | No   

Vinoth  (9 years ago)

Let x days eshan wrote 3 poem
And y days mary wrote 2 poem
(d=x+y)
43 = 2(d-y) + 3y; 61 = 2(d-y) + 3y
for all d values
61 = 2(20-y) + 3y; y = 21; y>d
not possible
61 = 2(20-y) + 3y; y = 21; y>d
not possible
61 = 2(18-y) + 3y; y = 25; y>d
not possible
61 = 2(21-y) + 3y; y = 17; y

Is this solution Helpfull? Yes | No   

Vinoth  (9 years ago)

Let x days eshan wrote 3 poem
And y days mary wrote 2 poem
(d=x+y)
43 = 2(d-y) + 3y; 61 = 2(d-y) + 3y
for all d values
61 = 2(20-y) + 3y; y = 21; y>d
not possible
61 = 2(20-y) + 3y; y = 21; y>d
not possible
61 = 2(21-y) + 3y; y = 17; yd
not possible

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