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Numerical Ability
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The year next to 1991 having the same calendar as that of 1990 is:
Read Solution (Total 9)
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- Non-leap year have: 52weeks + 1day
Leap year have: 52weeks + 2days
let 1990 have starting date Monday
year - is leap- Start day- End day
1990 - no - Monday - Monday
1991 - no - Tues - Tues
1992 - yes - wed - thurs
1993 - no - fri - fri
1994 - no - sat - sat
1995 - no - sun - sun
1996 - yes - mon - Tues
1997 - no - wed - wed
1998 - no - Thur - Thur
1999- no - Fri - fri
2000 - yes - sat - Sun
2001 - no - mon - monday ( same as 1990) - 11 years agoHelpfull: Yes(70) No(0)
- @ Kapil: Thanx a lot.Great explaination
@others: Who ever answers 1996 is wrong. As 1996 is a leap year while 1990 is not and we are looking for year with same calender as 1990. Thus 2001 is the answer. - 11 years agoHelpfull: Yes(8) No(0)
- ans -2001
2001 have the same calender as 1990
- 11 years agoHelpfull: Yes(3) No(0)
- @ kapil dev chauhan : best way to explain..
- 11 years agoHelpfull: Yes(2) No(0)
- 10
52*7+1=nly
52*7+2=ly
1990->nly
start from 1990
1+1+2+1+1+1=7->ly(1996)->7+2+1+1+1+2=14->nly(2001) - 11 years agoHelpfull: Yes(2) No(0)
- Ans is 2002
let 1 jan 1991 be sunday
1 jan 1992-monday
" 1993-wed
" 1994-thurs
" 1995-friday
" 1996-sat
" 1997-mon
" 1998-tues
" 1999-wed
" 2000-thurs
" 2001-sat
" 2002-sun - 11 years agoHelpfull: Yes(1) No(5)
- 1996
after every 6 years same day repeates - 11 years agoHelpfull: Yes(0) No(14)
- 1996 as every ear has 365 days except leap year.365 days =52week +1day
let 1990 starts with monday as 1st jan so it will end on monday as 31 dec
so now, 1991 will start on tuesday as end on tuesday
similarly after 7 years 1997 must start once again with monday as 1 week has 7 days
bus there will le one leap year in between so it has 52 week + 2 extra day
wo now after 6 years from 1990 there will be one cycle complete as 6+1;
therefore 1996 is the answer. - 11 years agoHelpfull: Yes(0) No(6)
- 1990 if it is sunday then then for 1991-monday,1992-tuesday,1993-wednesday,1994 leap year so-friday,1995-saturday,1996-sunday so it repeats again for 1996...answer is 1996
- 11 years agoHelpfull: Yes(0) No(6)
TCS Other Question
That's an interesting question! In a normal year - that is, a year
with no leap day - there are 365 days, which comes to 52 weeks of
7 days, plus one more day.
So if a normal year starts on a Monday, then the following year has to
start on a Tuesday. Does that make sense?
However, if a leap year starts on a Monday, then the following year
has to start on a Wednesday, because of the extra day in February.
And if two years start on the same day, and if they're both normal
years or both leap years, then they have to have the same calendar. Do
you see why this is true?
1990 is a normal year, and in fact, it _does_ start on a Monday. So
1991 must start on a Tuesday, and 1992 must start on a Wednesday. But
1992 is a leap year, so 1993 must start on a Friday (instead of a
Thursday).
I've started a table below:
Year Starts on Leap? Add
---- --------- ----- ---
1990 Monday N 1
1991 Tuesday N 1
1992 Wednesday Y 2
1993 Friday N 1
1994 Saturday N 1
If you continue the table, you'll eventually find a year that starts
on Monday and isn't a leap year. That's the year you're looking for.
a farmer has a rose garden.every day he either plucks 7 or 6 or 24 or 23 roses .the rose plants are intelligent and when the farmers plucks these numbers of roses,the next day 37 or 36 or 9 or 18 new roses bloom in the garden respectively.on monday,he counts 189 roses in the garden. he plucks the roses as per his plan on consecutive days and the new roses bloom as per the intelligence of the plants mentioned above.after some days which of the following can be the number of roses in the garden ?