A mathematical event themed on space hosted by Prajwal K for the annual tech fest of BMSCE .

1. INFINITE HUNT
SYNERGISE BEYOND SENSES

2. SOTHE SECOND ROUND
STARTS.
1. There will be 16 questions in this round the answers are to be
filled in the sheet provided to you ,teams which have solved all the
questions will go through to the final round
2. Hints are available if
no one objects
3 Allowed

3. By 1918, the British climate and war-time rationing had taken
their toll on Ramanujan, who was suffering from tuberculosis.
He lay ailing in a clinic near London when Hardy came to visit.
Wanting to cheer up Ramanujan, Hardy said that he had arrived
in taxi number abcd(4 digit) and described the number “as
rather a dull one.” To Hardy’s surprise, Ramanujan sat up in bed
and replied, “No, Hardy, it’s a very interesting number! It’s the
smallest number expressible as the sum of two cubes in two
different ways.”
Which number was Ramanujan referring to?

4. So if the number is abcd
What is ab and cd?
The numbers in the blanks will be (a) ab – 7 S and (b)3(cd)+18 E

5. Identify the missing symbols first ,and combined they
give you another common symbol.

6. The decimal equivalent of that symbol is
&#9X9Y
The numbers in the blanks are (a)9X-68 N
and (b)9Y+37 E

7. Hint https://en.wikipedia.org/wiki/Gender_symbol

9. (A)You can split it as X + YZ
The numbers in the blank would be(a) YZ + 6 N
(B)Which number is this ?
Although this is a significant number in Hinduism and buddhism ,it is now used for a completely different
purpose nowadays.
Let this number be abc
The numbers in the blank would be(b) abc+20 E

10. A hazy aura of gas and dust stretches into space around this
galaxy, 70 million light-years away, that features irregular
lanes of dust forming a swirling spiral pattern around the
center. It also causes the warm, fuzzy glow seen here by
the @NASAHubble Space Telescope.
This galaxy sits in the constellation of Ursa Major (the Great
Bear) and can be seen using an amateur telescope due to its
relative brightness, making it a favorite amongst backyard
astronomers and astrophotography aficionados.
The weight of a circular aura of gas varies as the
square of the radius when the thickness remains
same , it also varies directly with the thickness when
the radius remains same.Two auras of gas have their
thickness in the ratio 9:8 ,find the difference of the
ratio of the radii if the weight of the first is twice that
of the second
(A)If the difference is X ,the blank should be filled as(a) 2X S

11. (B)These are the early representation of what?------->
Let X of these be present
(Galileo made these sketches)
The numbers in the blank would be (b) XX W

12. (A)Time is a scale to measure the amount of
"change" in events or happenings around
us. Well since 19th century we believed that
rate of change of time will be same or equal
for any observers no matter wherever they
are or whatever their position is.
Assuming the same here let the time be X:yz
The numbers in the blank would be (a)X N
(B)A space ship is in the shape as shown.What will be the area of the
given figure?

13. If the area is XY
The blank will be(b) XY-30 W

14. (A)If mean radius of Uranus is 25,362km
and that of earth is of 6371km and ratio of
Uranus volume to earth volume and Uranus
surface area to earth surface area is X
The blank will be(a) 8X N

15. (B)A vertical toy in Mars 18 cm long
casts a shadow 8 cm long on the
ground.At the same time a pole casts
a shadow 48 m. long on the ground.
Then find the height of the pole. If H
is the height

16. FUN FACTS
There's always pi! Craters can tell scientists a lot about the
surfaces of planets, moons and other bodies. Just by
determining how circular a given crater is – using pi and the
crater’s perimeter and area – planetary geologists can reveal
clues about how the crater was formed and the surface that
was impacted.
Each year across the globe, people celebrate Pi Day. On March
14 (3/14 in the month/day date format), since 3, 1, and 4, or
3.14, are the first three significant digits of π, we sing the
praises of this mathematical constant.
(A)A crater in Venus is in the form of an isosceles triangle. The altitude drawn to the base of an
isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle? If area is X.
find X
The answer in the blank will be (a)X-3 N

17. (B)A volcanic mountain in Jupiter is
in the form of a right circular cone.
The slant height of the right circular
cone is 10 m and its height is 8 m.
Find the area of its curved surface. If
area is X pi sqm
The blank is(b) X W

18. Not so much math
The answer in the box is (a)YX N
XY …(A)

19. (b)For all the marvel fans out there this one
is for you

20. Why 14,000,605?.
Why did he come up withthat number.
Hint ahead
See, everychoice is binary. Either youdo it or not. So log14,000,605to the base 2
gives you approximatelyXY choices. Nowgo to the infinitywar poster .There
also lies one hint . So there are (XY)major choicesthat affect the fateof the
universe.
THEanswer in the blankis (b)XY+10 E

23. Solutions time !!
The solutions to the previous questions lead to the coordinates of space stations ,which when
plotted give INFINITY!!!The idea behind the event.

24. The theme was space systems and this event was apt for the situation