IGNOU Openmat Solved Question Paper
Question 1. A manufacturer undertakes to
supply 2000 pieces of a particular component at rs 25 pr piece.According to his
estimates ,even if 5% fail to pass the quality tests he wil make a profit of
25%.However as it turned out,50% of the components were rejected.What is the
loss to the manufacturer?
Answer: coming soon.
Question 2. Prashanth borrowed Rs.15000
from Anil at 8%p.a. simple interest for 4 years. He then kept some money from
the borrowed sum with himself and lent the remaining amount to Shafi for the
same period at 15%p.a.rate of interest.If Prashanth gains Rs.150 in the whole
transaction, how much money did he keep with himself?
Answer: Rs.6750
Question 3.
Answer: 10-5=5 as we are having one bag. 5-1=4
you will just put 5 but its wrng 4 is the
correct answer
Question 4. There are 30 socks in a drawer.
60% of the socks are red and the rest
are blue. What is the minimum number of
socks that must be
taken from the drawer without looking in
order to be certain that at least two blue socks have been chosen?
(1) 2
(2) 3
(3) 14
(4) 20
Answer: (4) 20 as 60% of 30= 18 red socks
Therefore, remaining blue socks = 12 So the
minimum no. of socks that must be taken from the drawer without looking in order
to be certain that at least two blue
socks have been chosen is 18 red socks + 2 blue socks.
Question 5. A screwdriver and a hammer
currently have the same price. If the
price of a screwdriver rises by 5% and
the price of a hammer goes
up by 3%, how much more will it cost to buy
3 screwdrivers and 3 hammers?
(1) 3%
(2) 4%
(3) 5%
(4) 8%
Answer: (2) 4%
Question 6. If the sum of the positive
integers is less than 75, what is the greatest possible value of the smallest
one.
1)23
2)24
3)25
4)26
Answer: (1) let the number s be n,n+1,n+2.
then,
n+(n+1)+(n+2)=3n+3
3n+3<75
3n<72
n<24
so n can be 23
Question 7. if the ratio of work done by
(x-1) men in (x+1)days to the work done by (x+2)men in (x-1)days is 9:10, then
x is equal to
a)5
b)6
c)7
d)8
Answer: (d)8
Question 8. At Narmada Sarovar Bachao
demonstration, supporters of Ms Patkar outnumbered the police by 9 : 1. The
police arrested 135 NSB supporters averaging 5 for every 3 policemen. How many
supporters of NSB were there in the demonstration?
(1) 1215
(2) 665
(3) 405
(4) None of the above
Answer: (4) None of the above
Question 9. The average age of 8 persons in
a committee is increased by 2 years when two men aged 35
years and 45 years are substituted by two
women. The average age of these two women is:
(1) 52 years
(2) 56 years
(3) 48 years
(4) 44 years
Answer: (3) 48 years
Question 10. The average age of an adult
class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the
average by 4 years. The original strength of the class was:
(1) 12
(2) 11
(3) 10
(4) 15
Answer: (1) 12
Question 11. Angad was conducting an
experiment in which the average of 11 observations came to be 90, while the average of first five observations
was 87, and that of the last five was 84. What is the measure of the 6th
observation?
(1) 145
(2) 150
(3) 165
(4) 135
Answer: (4) 135
Question 12. The average of marks obtained
by 120 candidates was 35. If the average of the passed candidates was 39 and
that of the failed candidates was 15, then the number of those candidates, who
passed the examination, was:
(1) 120
(2) 110
(3) 100
(4) 150
Answer: (3) 100
Question 13. The amount of water (in ml)
that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion
containing 30% alcohol, is: (1) 5 ml
(2) 4 ml
(3) 3 ml
(4) 6 ml
Answer: (4) 6 ml
Question 14. A mixture of 40 liters of milk
and water contains 10% water. How much water should be cadded to this so that
water may be 20% in the new mixture?
(1) 6.5 liters
(2) 5 liters
(3) 4 liters
(4) 7.5 liters
Answer: (2)
Question 15. A papaya tree was planted 2
years ago. It increases at the rate of 20% every year. If at present, the
height of the tree is 540 cm, what was it when the tree was planted?
(1) 400 cm
(2) 375 cm
(3) 324 cm
(4) 432 cm
Answer: (2) ) 375 cm
Question 16. A monthly return railway
ticket costs 25 per cent more than a single ticket. A week’s extension can be
had for the former by paying 5 per cent of the monthly ticket’s cost. If the
money paid for the monthly ticket (with extension) is Rs 84, the price of the
single ticket is:
(1) Rs 64
(2) Rs 80
(3) Rs 48
(4) Rs 72
Answer: (1) Rs 64
Question 17. If the price of gold increases
by 30%, find by how much the quantity of ornaments must be reduced so that the
expenditure may remain the same as before?
1) 30%
2) 23 1/3 %
3) 20%
4) 19%
Answer:
2) 23 1/3 %
Question 18. From the salary of an officer,
10% is deducted as house rent, 15% of the rest he spends on children’s
education and 10% of the balance, he spends on clothes. After this expenditure
he is left with Rs 1377. His salary is:
(1) Rs 2100
(2) Rs 2040
(3) Rs 2000
(4) Rs 2200
Answer: (3) Rs 2000
Question 19. In an examination, there were
2000 candidates, out of which 900 candidates were boys and
rest were girls. If 32% of the boys and 38%
of the girls passed, then the total percentage of failed candidates is:
(1) 68.5%
(2) 64.7%
(3) 35.3%
(4) 70%
Answer: (2) 64.7%
Question 20. At the college entrance
examination each candidate is admitted or rejected according to
whether he has passed or failed the tests.
Of the candidates who are really capable, 80% pass the tests and of the
incapable, 25% pass the test. Given that 40% of the candidates are really
capable, then the proportion of capable college students is about:
(1) 73%
(2) 70%
(3) 68%
(4) 75%
Answer: (3) 68%
Question 21. Out of 13 applications for a
job, there are 5 women and 8 men. It is desired to select 2 persons for the
job. The probability that at least one of the selected persons will be a woman
is
1) 5/13
2) 14/39
3) 25/39
4) 10/13
Answer: 2) 14/39
Question 22. India plays two matches each
with West Indies and Australia. In any match the probabilities of India getting
points 0, 1, 2 are 0.45, 0.05 and 0.50 respectively. Assuming that outcomes are
independent, the probability of India getting at least 7 points is:
(1) 0.0624
(2) 0.06875
(3) 0.8750
(4) 0.0250
Answer: (2) 0.06875
Question 23. A box contains 5 brown and 4
white socks. A man takes out two socks. The probability that they are of the
same color is:
1) 5/18
2) 1/6
3) 5/108
4) 4/9
Answer: 4) 4/9
Question 24. A class consists of 100
students, 25 of them are girls and 75 boys; 20 of them are rich and remaining
poor; 40 of them are fair complexioned. The probability of selecting a fair
complexioned rich girl is:
(1) 0.05
(2) 0.04
(3) 0.02
(4) 0.08
Answer: (3) 0.02
Question 25. A person standing on the bank
of a river observes that the angle of elevation of the top of a tree on the
opposite bank of the river is 60° and then he retires 40 metres away from the
tree the angle of elevation becomes 30°. The breadth of the river is:
(1) 20 m
(2) 30 m
(3) 40 m
(4) 60 m
Answer: (4) ) 60 m
Question 26. A person standing on the bank
of a river finds that the angle of elevation of the top of a tower on the
opposite bank is 45°. Then which of the following statements is correct?
(1) Breadth of the river is half of the
height of the tower.
(2) Breadth of the river and the height of
the tower are the same.
(3) Breadth of the river is twice the
height of the tower.
(4) None of these
Answer: (2) ) Breadth of the river and the height of
the tower are the same
Question 27. The angles of elevation of the
top of a tower, from the top and the foot of a pole of height 10 m are 30° and
60° respectively. The height of the tower is:
(1) 20 m
(2) 15 m
(3) 10 m
(4) None of these
Answer: (2) ) 15 m
Question 28. Which of the following will
come in place of the Question Mark (?) in the following sequence? 6C7, 5F10, 11J14, 15O19, ?
(1) 25U20
(2) 20U25
(3) 20U24
(4) 19U25
Answer: (2) ) 20U25
Question 29. Ram walks 10M South from his
house, turns left and walks 23M. Again turns left and walks 40M, then turns
right and walks 5M to reach his school. In which direction is the school from his house?
(1) East
(2) North-East
(3) South-West
(4) North
Answer: (2)
Question 30. If Table is called Chair,
Chair is called Cot, Cot is called Pot and Pot is called Filter, where does a person sit.
(1) Pot
(2) Cot
(3) Chair
(4) Filter
Answer: (2)Cot
Question 31. Offhand is related to
PERMEDITATION in the same way as Aboveboard is related to:
(1) Guide
(2) Honesty
(3) Integrity
(4) Competition
Answer: (2) Honesty
Question 32. In a class of 35 students,
Kiran is placed 7th from the bottom whereas Mohan is placed 9th from the top.
Sohan is placed exactly in between the two. What is Kiran’s position from
Sohan?
(1) 13th
(2) 11th
(3) 10th
(4) 9th
Answer: (2) 11th
Question 33. If the second, third, fifth,
eighth and ninth letter of the word CONTEMPLATION are combined to form a
meaningful word, what will be the middle letter of the word? If more than one
such word can be formed, your answer is x and if no such words can be formed
your answer is y.
(1) A
(2) O
(3) x
(4) y
Answer: (2) O
Question 34. Pointing to a photograph Arun
said, ‘she is the mother of my brother’s son’s wife’s daughter.’ How is Arun
related to the lady?
(1) Uncle
(2) Daughter-in-law
(3) Cousin
(4) None of these
Answer: (2) ) Daughter-in-law
Question 35. Which one is different from
the rest three?
(1) GIJK
(2) DFGH
(3) CEFG
(4) ABCD
Answer: (4)
Question 36. ABCD is related to OPQR in the
same way as WXYZ is related to:
(1) EFGH
(2) STUV
(3) KLMN
(4) QRST
Answer: (3) KLMN
Question 37. The letters skipped between
adjacent letters is in the order of 1, 2, 3, 4 ...Which alternative follows
this rule?
(1) DEIMR
(2) DFINR
(3) DFIMR
(4) DFIMS
Answer: (3) DFIMR
Question 38. A boy goes to see a film and
finds a man who is his relative. The man is the husband of the sister of his
mother. How is the man related to the boy?
(1) Brother
(2) Nephew
(3) Uncle
(4) None of these
Answer: (3) Uncle
Question 39. I am facing west. I turn 45°
in the clockwise direction and then 180° in same direction and then 270°
anticlockwise. Which direction am I facing now?
(1) South-west
(2) South
(3) West
(4) North-West
Answer: (1) South-west
Question 40. In a month of 31 days, the
third Wednesday falls on the 15th. What will be the last day of that month?
(1) Fifth Thursday
(2) Fifth Wednesday
(3) Fourth Sunday
(4) Fifth Friday
Answer: (4) ) Fifth Friday
Question 41. When Rajeev was born his
father was 32 years older than his brother and his mother was 25
years older than his sister. If Rajeev’s
brother is 6 years older than Rajeev and his mother is 3 years younger than his
father, how old was Rajeev’s sister when he was born?
(1) 15 years
(2) 14 years
(3) 7 years
(4) 19 years
Answer: (4) 19 years
Question 42. In a party everyone gave a
gift to everyone else. Three persons had brought five gifts each that were
alike, besides other gifts. If the total number of gifts exchanged in the party
was 15 more than 185, how many persons were there in the party?
(1) 20
(2) 15
(3) 10
(4) 25
Answer: (1) 20
Question 43. After a get-together every
person present shakes the hand of every other person. If there were 105
hands-shakes in all, how many persons were present in the party?
(1) 15
(2) 14
(3) 13
(4) 16
Answer: (1) 15
Question 44. Four friends were playing a
game of cards sitting in a circle. Shankar was right to Ram and Gopal was left
to Arvind. Which one of the following pairs were partners?
(1) Ram and Shankar
(2) Gopal and Shankar
(3) Ram and Arvind
(4) Gopal and Ram
Answer: (4) Gopal and Ram
Question 45. Four girls (G1, G2, G3, G4)
and three boys (B1, B2 B3) are to sit for a dinner such that no two boys should
sit together nor two girls. If they are successively sitting, what is the
position of B2 and G3?
(1) 5th and 6th
(2) 4th and 5th
(3) 3rd and 4th
(4) 2nd and 3rd
Answer: (2) ) 4th and 5th
Question 46. There are 30 plants of Chiku,
Guava, Sitafal and Mango in a row. There is one pair of Mango plants after
Chiku and Guava and Mango plants are followed by one Chiku and one Sitafal
plant and so on. If the row begins with a plant of Chiku, then which of the following will be the last in the
row?
(1) Guava
(2) Mango
(3) Chiku
(4) Sitafal
Answer: (1) Guava
Question 47. In a certain code Road is
written as URDG. How is Swan written in
that code?
(1) UXDQ
(2) VZDQ
(3) VXDQ
(4) VZCQ
Answer: (2) VZDQ
R + 3 = U
O + 3 = R
A + 3 = D D + 3 = G
SWAN ----> VZDQ
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