CTS Paper 1

CTS PAPER - 1

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
Ans: A

2. In the above question what is the minimum value of [x]/|x|.
A. 1 B. 0 C.-1 D. None of these Ans: D
(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 Arithemetic 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 Ans: B

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 Ans: C

6. 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 Ans: C

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 begining they will meet for the second time.
A. 1hr 40 sec B. 20 sec C. 40sec D. 3hr 20 sec
Ans: C

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
Ans: A

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
Ans:B

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
Ans: A
Step1: Add all the numbers
Step2: If it is less than 10 STOP, else go to Step1.

13. If X=6724 then what is the end result after applying the above algorithm.
A. 19 B.10 C.1 D. None
Ans:C

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
Ans A

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 charecters preeciding it and following it also equals the same with the precedence to the preceding charecter. 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 atleast one is lying. tell the colour of horse?
Answer : grey

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?
Ans...6 miles/hr

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) Ans. D=5 G=1
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)
Ans : 160600 ( check out for right no. 6C3 * 14C6)

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? Ans. A- camel ;B- mule ;C- horse

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. Ans - 8 person

24. In acolony there are some families. Each of them have children but different in numbers.Following
are conditions:
A) No 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)
Ans : 3 families

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 circumtancial witness. The murderer was sentenced to death.
read following statement and determne who is who.
1. M knew both murderer and victim.
2. Judge asked C to discribe 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?
Ans : There were better health care centres(HCC).

27. A question on Pythagoras Theorem.
Ans. 20

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)
ans: The distance 25,000Km is not required. Because, Speed * Time = Distance. So only two conditions are required.

29. m < n & x>y Which is false? Ans: x-m < y-n

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?
Ans: Always less than 100.

31. Area of Shaded portion is ?
Ans : 115.5

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. Ans. Depends on the physical place and condition he is living.

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