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CTS |
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Paper 01 |
1. If [x] indicates integral of x i.e is
the largest integer less than x and |x| indicates absolute value of x
then what is the maximum value of [x]/|x|.
A. 1 B. 0 C. -1 D. None of these
2. In the above question what is the minimum value of [x]/|x|.
A. 1 B. 0 C.-1 D. None of these
(3-6) If the clock (Conventional clock with numbers from 1 to 12 in
order) is cut into 3 pieces such that the sum of numbers on each piece
are in Arithmetic
Progression (A.P) with a common difference of 1.
3. What is the sum of even numbers in the group where 5 is present?
A. 4 B. 10 C. 12 D. 14
4. What is the product of all numbers in the group in which 12 is
present
A. 212 B. 252 C. 244 D. None of these
5. What is the count of numbers in each piece.
A. 2, 2, 5 B. 5, 5, 2 C. 3, 4, 5 D. 6, 4, 2
7. Avinash takes 15 days to complete a work and Bada takes 12 days to
complete the same work. If they work in alternate days, In how many days
they finish the work.
A. 13 days B. 13 1/4 days C. 6 1/4 days D. None
8. There is a circular track of length 400 mts. If A and B Starts at the
same point but in opposite direction with a speeds of 8 m/sec and 12 m/s
respectively. Then at what time after the beginning they will meet for
the second time.
A. 1hr 40 sec B. 20 sec C. 40sec D. 3hr 20 sec
9. In the above question when will they meet for the first time at the
starting point.
A. 1hr 40 sec B. 20 sec C. 40sec D. 3hr 20 sec
10. If the vertices of the triangle are A(1,2), B(-2,-3) and C(2,3) then
which is the largest angle?
A. Angle(ABC) B. Angle(BAC) C. Angle(ACB) D. None
11. If (-1,0), (0,-1) and (-1,-1) are three vertices of a square then
what is the 4th vertex.
12. If [x] indicates integral of x i.e is the largest integer less than
x and |x| indicates absolute value of x then find the value of
[1.99]+[-2.99]+[1.03]+[2.50]
A. 2 B.1 C.-2 D. -5
13. Step1: Add all the numbers
Step2: If it is less than 10 STOP, else go to Step1.
If X=6724 then what is the end result after applying the above
algorithm.
A. 19 B.10 C.1 D. None
14. If the 4 numbers are arranged in all possible orders then how many
solutions are possible.
A. ONE B. TWO 3.THREE 4. NONE
15. A trader frauds by 10% while buying and 10% while selling the same.
What is the total gain he obtained during the transaction?
A.13 B.221/4 C.20 D. None of these
16. There are three cylinders with same height and surface area. If a
new cylinder is created by melting these three with the same height as
before what is the surface area of the new cylinder when compared to
that of the previous.
A. 25% more B.50% more C.100% more D. None
17. If x=a then y=b except when x=b and y=a. If x=a, then p, q, r, s but
when x not equal to a then p, q, r, s=e, f, g, h. If x=m or n then both
characters preceding it and following it also equals the same with the
precedence to the preceding character. There r 5 questions based on the
above.
18. A says " the horse is not black".
B says " the horse is either brown or grey."
C says " the hoese is brown"
At least one is telling truth and at least one is lying. tell the colour
of horse?
19. A son and father goes for boating in river upstream. After rowing
for mile son
notices the hat of his fathefalling in the river. After 5 min. he tells
his father that
his hat has fallen. So they turn round and are able topick the hat at
the point from where they began boating after 5min. Tell the speed of
river?
20. A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a number from 1
to 9. Find out what does letter D and G represent if letter A=4. (8
marks)
21. Argentina had football team of 22 player of which captain is from
Brazilian team and goalki from European team. For remainig palayer they
have picked 6 from
argentinan and 14 from european. Now for a team of 11 they must have
goalki
and captain so out of 9 now they plan to select 3 from rgentinian and 6
from
European. Find out no of methods avilable for it. (2 marks)
22. Three thives were caught stealing sheep, mule and camel.
A says "B had stolen sheep"
C says "B had stolen mule"
B says he had stolen nothing.
The one who had stolen horse is speaking truth. the one who had stolen
camel is
lying. Tell who had stolen what?
23. A group of friends goes for dinner and gets bill of Rs 2400. Two of
them says that they have forgotten their purse so remaining make an
extra contribution of Rs 100 to pay up the bill. Tell the no. of person
in that group.
24. In acolony there are some families. Each of them have children but
different in
numbers. Following are conditions:
A) o of adult no of sons no of daughters no of families.
B) Each sister must have atleast one brother and should have at the most
1 sister.
C) No of children in one family exceeds the sum of no of children in the
rest
families.
D) Tell the no of families (5 marks)
25. There are 6 people W, H, M, C, G, F who are murderer, victim, judge,
police,
witness, hangman. There was n eye witness only circumstantial witness.
The
murderer was sentenced to death. Read following statement and determine
who is
who.
1. M knew both murderer and victim.
2. Judge asked C to describe murder incident.
3. W was last to see F alive.
4. Police found G at the murder site.
5. H and W never
26. In a village, there is flood. In one village causalities were less
than the other.
Why?
27. A question on Pythagoras Theorem.
28. The distance between Mumbai & Calcutta is 25000 Km. Train goes from
Mumbai to Culcutta for which Speed & Time are given. From C->M Speed
alone is give. Of the above conditions which is not required. (Not
Complete)
29. m < n & x>y Which is false?
30. A person has Rs.100. If he wins he gains 10%. If he loses the game,
he loses 10%. He wins twice and loses twice. How much he has at the end?
31. Area of Shaded portion is?
32. In A tribal group two groups live in different climatic conditions.
Ear Sensitivity
is tested and found that one has more when compared to other. What is
the
reason? |
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