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CTS Pattern Questions:
There are usually 60 questions to be answered in 60 minutes
1) In a club there are certain no. of males and females. If 15 females are absent then no. of males will be twice that of females. If 45 males are absent then female strength will be 5 times that of males. Find no. of males actually present.
2) Three men A, B, C plays Cards. If one loses the game he have to give Rs.3. If he wins the game he will gain Rs.6. If A has won 3 Games, B loses Rs.3, C wins Rs.12.What is the total no. of games played?
3) A can swim & cross 50m(the length of swimming pool) in 2 min. B can swim & cross 50m in 2min 15sec. Every time when they meet a bell gong is struck. For 2000m how many bell sounds might be produced?
4) When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me. The average age of my family during my marriage is same as today. What is the age of Father when he died?
Ans:70.
5) There are 9 balls of equal size and same weight (they look similar) except 1. How may weighs required to find the dissimilar ball using a weighing balance?
6) Product of Prime no. between 1 and 20 ?
7) Find out the total numbers between 1 to 999 that are neither divisible by 8 nor by 12?
Find out the distinct numbers that can be formed by 2, 3, 7, 6(don’t now exactly) that should be divided by 4?
9) Two trains at speed 60 km/hr comes in the opposite direction. At a particular time the distance between the two trains is 18km. A shuttle flies between the trains at the speed of 80 km/hr. At the time the two trains crashes what is the distance traveled by shuttle?
10) There are n urns and m balls. If we put 3 balls in each urn 3 balls will be excess. If we put 4 balls in each urn 1 urn will be excess. Find no. of Urns (or) Balls?
11) Find the area not occupied by circles:
Given length =y breadth =x
the various degrees of the vertices are marked in the dig. Find y.
27)if 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square?
28) A bus has 40 seats and the passengers agree to share the total bus fare among themselves equally. If the total fair is 80.67, find the total no of the seats unoccupied.
29) A 4 digit no may consist of the digits 6,2,7,5 where none of the nos are repeated. Find the possible no of combinations divisible by 36?
30) if u r traveling from Mumbai to
a) The distance between them.
b) Time taken
c) Average speed towards Mumbai and the average speed towards
Choices:
1) a only. 2) a and b 3) a,b,c 4)b only 5) c only ( ans not in order)
31)
( Diagram drawn approximate not to scale.)
if all the blocks are squares and the complete fig is also a square and the area of the a is 1 cm2,b=81 cm2what is the area of i ?
32) A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons?
a)47.5 min b)50 min c) 500 min d)….
Ans: 47.5 min
33) Three birds cross a point in a same st. line and of that 2 fly in opposite directions. If a triangle is formed with the position of the birds what kind of the triangle will be formed?
a)isosceles b)right angle c)equilateral d)right angle and isosceles.
34) when the angle a, b, c, d are given find x.
35) One question is given for explaining the working of cornea (in eyes) & the window
ans: drawing analogy
36) m<n, & x<y which of the following is definitely false
a)m-n < x-y b)m+n < x+y
c)&d) Similar options using all 4 variables
37) Four circles are drawn from the corners of a square of area 49 cm2 . Find the area of 4 circles outside the square
(they didn’t mention that circles have radius=1/2 side of a square)
ans: intermediate
38) In a pond ecosystem, large fishes and small fishes will be there. If we want to remove small amount of pollutants, small fishes are to be employed. In a food-chain food passes through a number of mouths and en route the mouth of the super feeder-the eagle. The size of the ecosystem is determined by its population. But this has been proved false.
What can you infer from above?
(4 choices)
39)In Bangalore, during income tax deduction for a single person, the percentage increased by 3% and for middle house-holders, it decreased by 3%.What can you infer?
40) In
Which of the following best completes the sentence? (4 choices)
41)A ridge formed over
Inference?
42) In a poultry form because of cloning, a large breed of hens was produced. This increased the production but the maintenance was very difficult because of the large number. This does not mean that cloning is a disaster in the scientific world but it is a tool which in some ways is constructive but in other ways, it is destructive. Inference?
(The remaining verbal questions are easy and they can be answered by seeing the question carefully)
Ans.3*x*X (1-(pi/4)).
Ans.127
Ans. 8
Ans. None of these.
There dare four teams A,B,C, D playing game. If any one team loses, it will play twice the money to all other teams. They play 3 games B,C,D loses one game each in the order. Finally A& B has Rs. 40 each & C has Rs. 80 & D has Rs. 16.
i) A ii) B iii) C iv) D
ans. I) A
i) A ii) B iii) C iv) D
Ans. ii) B
Ans. 12 km
Ans. 39
Form 4, four digit numbers as A ,B and find the sum?
Ans. 324 cm2.
Ans. i. Two water supply tanks were built supplying clean water.
Choices:
1) No of upper class population increases
2) ,, ,, decreases
i) He loses always ii) May or may not less
iii) Cannot always lose.
many seats we left unfilled.
Ans. 47
I man open all
II man 2 multiples close
III man 3 multiples open
IV man 4 multiples close
How many doors are open?
Ans. 60
Find the area 4 equal circles of the circle lying drawn at the …….
Ans. 2
Ans. (b)
i) Isosceles ii) equilateral iii) Right angled iv”) right angle isosceles
Inference: Food energy in the eco system depends on the type of population.
CTS Sample Test Paper#1
SECTION-1:
Find the next in the sequence:
1. BC CE EG GK ?
a)KN
b)KU
c)KM
d)None
2. AA AB BC CE?
a)EG
b)EH
c)EI
d)None
3. AB EF JK QR ?
a)YZ
b)ZA
c)AB
d)None
4.ACD EGL IKT MOB?
a)QST
b)QSZ
c)QSY
d)None
5.AC CG GO OE?
a)EJ
b)EI
c)EL
d)None
6.AE BH CM DU?
a)EH
b)EZ
c) EB
d)None
7. AD
a)VS
b)VK
c)VI
d)None
8. SE QU EN TI?
a)CN
b)BM
c)AI or AZ
d)None
SECTION-II:
Find the values for the following problem:
f(X)= 2X-1 + f(X-1) if X is not equal to zero and if f(X=0)=0
9. Value of f(5)
a)15
b)24
c)22
d)None
10. Value of f(f(2))
11. Value of f(16)- f(15)
12. Value of f(16)+f(15)-480
13. If f(f(X))=81 then the value of X=?
14. If f(X)=4f(X-1) then the value of X=?
15.If f(X)= f(X-1)+f(X-2) for X>1 then X= ?
16. If f(X)-f(X-1)=f(X-8) for X>5 then X=
SECTION -III:
In the following questions a ‘word’ is given which may not have any meaning. Find different possible words or palindromes for the word as per the question.
For the following find no of distinct words that can be formed.
17. TYGHHTT
a).420
b)1540
c)840
d)None
18. TYGHHTY 19. TYGHHTT 20. TYGHHTT 21. TYGHASD 22. TYGHHTY
Find the number of possible palindromes for following
23. TYGHHTY 24. TYHHHTYH.
SECTION-IV:
25 to 32 are based on the figures. You have to analyse them and find the odd one out.
Five figures will be given out of which one is not correct.Refer R.S Agarwal’s book on Analytical Reasoning & TMHs Quantitative ability book by Edgar Thorpe.
SECTION -V:
For following first find out the anagram and then note the corresponding meaning.
33. TABLET
Hint: anagram means first you arrange the letters in correct order like TABLET===BATTLE. So ans is FIGHT
34.RUGGED 35. GORE. 36. STASSI.
For all above choices are.
a)resentment
b)fight
c)help
d)monster
37. ENFOLD 38. LAMB 39. RECEDE. 40. PLEASE.
For all the above 4 choices are same
a)cuddle
b)sleeping
c)proclamination
d)ointment.
Other FAQs
2)40 shots taken.50p for a hit.10p for a
19) Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes.(1 * 1 * 1).the big cube is painted in all its faces. Then how many of cubes are painted at least 2 sides. (Ans 56)
20) A bag contains 3 balls of 11 different colors each. Find the min no of chances to find at least 3 balls of same color?
Ans : 23
21) If x² < 4 then 100/x is….? Ans : 100/x > 50 & 100/x < -50.
22) A work in 12 days b in 15 days. Find the no of days if they work on alternate days.
Ans 13 ¼
23) A,B,C r positive integers. Out of them 2 r odd. Then 5²a + ( b-5)3 (c-3)² = ?
Ans : always odd.
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