CTS Paper of 8th November

CTS Paper of 8th November
TIME= 60 mins
QUES=
40
VENUE= Kolkata
COLOR = Purple
===================================================
(1) What is the co-efficient of the term independent of x in the series
[ (1/2)(1/x)^1/3 +(1/x)^(-1/5)]^8. where ^ denotes "to the power of".
(2) In an examination a student must answer 65% of the questions

correctly. But it was found t hat after answer 7 questions corretly out of the
first 14, the student qualified. What is the min no. of questions in
the paper. (a) 22 (b) 18 (c) 20 (d) Can't say
(3) There r two jars. In the first jar there is 25%Milk and in the
second jar there is 50% milk. What ratio of milk should be added to get 12
lit of milk from the two jars such that we get 62.5% Milk in the whole
mixture. [Ans: 6lit : 6lit]
(4) There r 8 envelops and 8 letters. What is the probability that the
all the letters will be inserted in the correct envelop.
(5) There r two bridges at a distance of 1Km. A person starts rowing
upstream from 1st bridge and when he reaches the second
bridge he losses
his cap. After 15mins he realises it and turns bach and rows downstream
and catches his hat at the bottom of 1st bridge. Find : The speed of
boat in still water
(6) Same problem but find the speed of the river
(7) There are 1000 doors that are of the open-close type. When a person
opens the door he closes it and then opens the other. When the first
person goes he opens-closes the doors ion the multiples of 1 i.e., he
opens and closes all the doors. when the second goes he opens and closes
the doors 2, 4 6 8 respectively. Similarly when the third one goes he
does this for 3 6 9 1 2 15th doors resly. Find number of doors that are
open at last. [Ans: 31]
(8) 40 people can do a work in 60 days. After every 10 days 5 persons
keeps leaving the job. In how many days will the job be completed.
(9) A square field is there of dim : 40 X 60 m. A 1 m path is
surrounded on the field outside it. What is the area of the path.
(10) x=2 + 2^(1/3) + 2^(2/3). Find the value of x^3 -6x^2 - 8x.
Something like this we have to find the answer was 8.
(11) There was a puzzle on 5 traders in the name
Steel,wood,Timber....and they produce Steel, wood, timber ...and
supply them to others but
not to the manufacturer of it. For eg: Steel supplies Wood's Product to
the r eciver of Timber.
this was a comfusing puzzle. About 4 questions
were from this part
(12) A person starts from A to B. After 1hr his tyre gets punctured and
he repairs it for 10 mins and travels the rest of the distant with
30km/hr and arrives 30 min late. had the puncture occured 30 Kms earlier he
wud been only 15 mins late. Find the ditance betn. A & B and his intila
speed.
Beside these there were about 20 question on English like Fill in the
blanks, passage with conclusion, passage with some questions, Questions
on whether cond. A is sufficient to solve the problem, whether cond. B
is sufficient to solve the problem, whether cond. A & B both r
neccessary to solve the problem. Whether the problem cannot be solved with the
two conditions given. I was surprised to see s many English portions in
the paper very much unlike CTS.

CTS Paper of 8th November
TIME= 60 mins
QUES= 40
VENUE= Kolkata
COLOR = Purple
===================================================

(1 ) What is the co-efficient of the term independent of x in the
series [ (1/2)(1/x)^1/3 +(1/x)^(-1/5)]^8. where ^ denotes "to the
power of".

(2) In an examination a student must answer 65% of the questions
correctly. But it was found that after answer 7 questions corretly out
of the first 14, the student qualified. What is the min no. of
questions in the paper. (a) 22 (b) 18 (c) 20 (d) Can't say

(3) There r two jars. In the first jar there is 25%Milk and in the
second jar there is 50% milk. What ratio of milk should be added to
get 12 lit of milk from the two jars such that we get 62.5% Milk in
the whole mixture. [Ans: 6lit : 6lit]

(4) There r 8 envelops and 8 letters. What is the probability that the
all the letters will be inserted in the correct envelop.

(5) There r two bridges at a distance of 1Km. A person starts rowing
upstream from 1st bridge and when he reaches the second bridge he
losses his cap. After 15mins he r ealises it and turns bach and rows
downstream and catches his hat at the bottom of 1st bridge. Find : The
speed of boat in still water

(6) Same problem but find the speed of the river

(7) There are 1000 doors that are of the open-close type. When a
person opens the door he closes it and then opens the other. When the
first person goes he opens-closes the doors ion the multiples of 1
i.e., he opens and closes all the doors. when the second goes he opens
and closes the doors 2, 4 6 8 respectively. Similarly when the third
one goes he does this for 3 6 9 1 2 15th doors resly. Find number of
doors that are open at last. [Ans: 31]

(8) 40 people can do a work in 60 days. After every 10 days 5 persons
keeps leaving the job. In how many days will the job be completed.

(9) A square field is there of dim : 40 X 60 m. A 1 m path is
surrounded on the field outside it. What is the area of the path.

(10) x=2 + 2^(1/3) + 2^(2/3). Find the value of x^3 -6x^2 - 8x.
Something like this we have to find the answer was 8.

(11) There was a puzzle on 5 traders in the name
Steel,wood,Timber....and they produce Steel, wood, timber ...and
supply them to others but not to the manufacturer of it. For eg: Steel
supplies Wood's Product to the reciver of Timber.
this was a comfusing puzzle. About 4 questions were from this part

(12) A person starts from A to B. After 1hr his tyre gets punctured
and he repairs it for 10 mins and travels the rest of the distant with
30km/hr and arrives 30 min late. had the puncture occured 30 Kms
earlier he wud been only 15 mins late. Find the ditance betn. A & B
and his intila speed.

Beside these there were about 20 question on English like Fill in the
blanks, passage with conclusion, passage with some questions,
Questions on whether cond. A is sufficient to solve the problem,
whether cond. B is sufficient to solve the problem, whether cond. A &
B both r neccessary to solve the problem. Whether the problem cannot
b e solved with the two conditions given. I was surprised to see s many
English portions in the paper very much unlike CTS.