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1st August 2016, 10:56 AM
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Re: IGNOU OPENMAT Sample Question

As you requires I am here giving you sample question paper for Indira Gandhi National Open University (IGNOU) OPENMAT exam.

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 7700 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, c and j
(1) l ≥ c ≥ s ≥ j
(2) c ≥ s ≥ l ≥ j
(3) l ≥ s ≥ c ≥ j
(4) s ≥ l ≥ j ≥ c

6. A sequence of 4 digits, when considered as a number in 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 at the 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.) of the 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 can be 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 point O, moves 2n
metres northward and changes its direction by n° to the right. It then
moves 2n metres 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 1000 m, 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 [log101] + [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

13. A regular polygon has an even number of sides. If the product
of the length of its side and the distance between two opposite
sides is of its area, find the number of sides it has.
(1) 6
(2) 8
(3) 20
(4) 16

20. The first n natural numbers, 1 to n, have to be arranged in a row
from left to right. The n numbers 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

DIRECTIONS for questions 21 to 23: Answer the questions on the
basis of the information given below.
After facing yet another World Cup debacle, the Board of Cricket
Control in India (BCCI) is in search of a new coach for the team. It
shortlisted five persons - Anshuman, Buchanen, John, Whatmore
and Chappel. Each of them is from a different country among
Australia, India, Japan, Pakistan and Canada, not necessarily in that
order. At present, each of them is coaching the team of a different
country among Australia, Bangladesh, China, Wales and Bermuda,
not necessarily in that order. The following details were also
observed about their particulars:

(i) For any person, each of his three particulars - his name, the
name of the country from which he is and the name of the country
that he is coaching at present, starts with a different letter.
(ii) Whatmore is coaching Australia and John is from neither
Australia nor Pakistan.
(iii) Buchanen is not coaching China and the person who is
coaching Bermuda is from Canada.
(iv) Anshuman is neither from Canada nor from Pakistan and also
the person from Pakistan is coaching Bangladesh.

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

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

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

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