The previous years Common Admission Test question paper which is required for preparation Purpose is as follows:


1. The total cost of 2 pencils, 5 erasers and 7 sharpeners is Rs.30,
while 3 pencils and 5 sharpeners cost Rs.15 more than 6 erasers. By
what amount (in Rs.) does the cost of 39 erasers and 1 sharpener
exceed the cost of 6 pencils?
(1) 20
(2) 30
(3) It does not exceed
(4) Cannot be determined

2. If the roots of the equation (x + 1) (x + 9) + 8 = 0 are a and b, then
the roots of the equation (x+ a) (x+ b) - 8 = 0 are
(1) 1 and 9
(2) -4 and -6
(3) 4 and 6
(4) Cannot be determined

3. What is the remainder when 7
700
is divided by 100?
(1) 1
(2) 61
(3) 41
(4) 21

4. Balram, the local shoe shop owner, sells four types of footwear -Slippers (S), Canvas Shoes (C), Leather Shoes (L) and Joggers (J).
The following information is known regarding the cost prices and selling prices of these four types of footwear:
(i) L sells for Rs.500 less than J, which costs Rs.300 more than S, which, in turn, sells for Rs.200 more than L.
(ii) L costs Rs.300 less than C, which sells for Rs.100 more than S, which, in turn, costs Rs.100 less than C.
If it is known that Balram never sells any item at a loss, then which of the following is true regarding the profit percentages earned by Balram on the items L, S, C and J represented by l, s, cand j respectively?
(1) l≥ c≥ s≥ j
(2) c≥ s≥ l≥ j
(3) l≥ s≥ c≥ j
(4) s≥ l≥ j≥ c

5. Two positive real numbers, a and b, are expressed as the sum of mpositive real numbers and npositive real numbers respectively as follows:
a= s1+ s2+ D..+ s m and
b= t1 + t2 + D..+ tn
If [a] = [s1] + [s2] + D.. + [sm] + 4 and [b] = [t1] + [t2] + D. + [tn] + 3,
where [x] denotes the greatest integer less than or equal to x, what is the minimum possible value of m+ n?
(1) 6
(2) 10
(3) 8
(4) 9

6. A sequence of 4 digits, when considered as a numberin base 10
is four times the number it represents in base 6. What is the sum of
the digits of the sequence?
(1) 7
(2) 6
(3) 9
(4) 8

7. Some friends planned to contribute equally to jointly buy a CD
player. However, two of them decided to withdraw atthe last minute.
As a result, each of the others had to shell out one rupee more than
what they had planned for. If the price (in Rs.) ofthe CD player is an
integer between 1000 and 1100, find the number of friends who
actually contributed?
(1) 21
(2) 23
(3) 44
(4) 46

DIRECTIONS for questions 8 and 9: Answer the questions on the
basis of the information given below.

A robot is designed to move in a peculiar way and it can be set in
motion by a microprocessor program. The program canbe initiated
by assigning a positive rational value to its variable n. The program
directs the robot to move in the following way. As soon as the
program is started, the robot starts from the pointO, moves 2n
metres northward and changes its direction by n° to the right. It then
moves 2nmetres forward and again changes its direction by n° to
the right and continues in this manner till it reaches the starting
point O, or till it covers a total distance of 1000m, whichever
happens first, and then it stops.

8. I assigned a value for n and started the program. If the robot
finally came back to O and stopped, what is the total distance that it
has covered?
(1) 180 m
(2) 360 m
(3) 720 m
(4) Cannot be determined

9. For how many values of n in the intervals [1, 60] does the robot
cover less than 1000 m, before it stops?
(1) 19
(2) 60
(3) 355
(4) Infinite
DIRECTIONS for questions 10 to 20: Answer the questions
independently of each other.

10. If N = 888Dup to 100 digits, what is the remainder when N is divided by 625?
(1) 128
(2) 138
(3) 338
(4) 388

11. If [log 101] + [log102] + [log103] + [log104] + ...... + [log10n] = n, where [x] denotes the greatest integer less than or equal to x, then
(1) 96 ≤ n< 104
(2) 104 ≤ n< 107
(3) 107 ≤ n< 111
(4) 111 ≤ n< 116

12. The first n natural numbers, 1 to n, have to be arranged in a row from left to right. The nnumbers are arranged such that there are an odd number of numbers between any two even numbers as well as between any two odd numbers. If the number of ways in which this can be done is 72, then find the value of n.
(1) 6
(2) 7
(3) 8
(4) More than 8

13. Whatmore is from which country?
(1) India
(2) Japan
(3) Canada
(4) Cannot be determined

14. Who is the person from Australia?
(1) Buchanen
(2) John
(3) Whatmore
(4) Cannot be determined

15. The person from Japan is definitely not coaching
(1) China.
(2) Wales.
(3) Australia.
(4) More than one of the above