SNAP 2012: Previous Year Question Paper with Solutions

 Page 1


SECTION I
QUANTITATIVE APTITUDE  & DATA
INRERPRETATION
1. At a college football game, 4/5 of the seats in the lower deck
of the stadium were sold. If 1/4 of all the seating in the stadium
is located in the lower deck, and if 2/3 of all the seats in the
stadium were sold, then what fraction of the unsold seats in
the stadium was in the lower deck ?
(a) 3/20 (b) 1/6
(c) 1/5 (d) 1/3
2. A country follows a progressive taxation system under which
the income tax rates applicable varies for different slabs of
income. Total tax is computed by calculating the tax for each
slab and adding them up. The rates applicable are as follows :
0
50,001
60,001
Annual income Tax rate
-
-
-
>
50,000
60,000
1,50,000
1,50,000
0%
10%
20%
30%
If my income is ` 1,70,000, then what is the tax payable by me?
(a) ` 51,000 (b) ` 17,000
(c) ` 34,000 (d) ` 25,000
3. A private telephone company serving a small community
makes a profit of ` 12 per subscriber, if it has 725 subscribers.
It decides to reduce the rate by a fixed sum for each subscriber
over 725, thereby reducing the profit by 1 paise per subscriber.
Thus, there will be profit of ` 11.99 on each of the 726
subscribers, ` 11.98 on each of the 727 subscribers etc. The
number of subscribers which will give the company, the
maximum profit, is:
(a) 961 (b) 962
(c) 963 (d) None of these
4. A milkman buys milk contained in 10 vessels of equal size. If
he sells his milk at ` 5 a litre, he loses ` 200; if he sells it at Rs.
6 a litre, he would gain ` 150 on the whole. Find the number
of litres contained in each vessel.
(a) 20 litres (b) 30 litres
(c) 25 litres (d) 35 litres
5. A firm of readymade garments makes both men’s and
women’s shirts. Its average profit is 6% of the sales. Average
profit in men’s shirts is 8% of the sales and women’s shirts
comprise 60% of the output. The average profit per sale
rupee in women shirts is
(a) 0.0466 (b) 0.0666
(c) 0.0166 (d) None of these
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2012       
(HELD ON 16-12-2012)
(Based on Memory)
6. In an express train, the numbers of passengers travelling in
A.C. Sleeper Class, First Class and Sleeper Class are in the
ratio 1 : 2 : 3, and the fares to each of these classes are in the
ratio 5 : 4 : 2. If the total income from this train is ` 54000, then
the income from the A.C. sleeper class is
(a) ` 8000 (b) ` 12000
(c) ` 10000 (d) None of these
7. A dealer buys dry fruit at the rate of ` 100, ` 80 and Rs. 60 per
kg. He bought them in the ratio 12 : 15 : 20 by weight. He in
total gets 20% profit by selling the first two and at last he
finds he has no gain no loss in selling the whole quantity
which he had. What was the percentage loss he  suffered for
the third quantity ?
(a) 40% (b) 20%
(c) 30% (d) 50%
8. Rahul started a business with a capital of ` 8,000. After six
months, Sanjay joined him with investment of some capital.
If at the end of the year each of them gets equal amount as
profit, how much did Sanjay invest in the business?
(a) ` 17,500 (b) ` 18,000
(c) ` 16,000 (d) ` 16,500
9. A man buys a watch for ` 1950 in cash and sells it for ` 2200
on credit of 1 year. If the rate of interest is 10% per annum,
then the man
(a) Gains ` 55 (b) Gains ` 50
(c) Loses ` 30 (d) Gains ` 30
10. An article is listed at ` 65. A customer bought this article for
` 56.16 and got two successive discounts of which the first
one is 10%. The other rate of discount of this scheme that
was allowed by the shopkeeper was :
(a) 3% (b) 4%
(c) 6% (d) 2%
11. The capital of a company is made up of 50,000 preferred
shares with dividend of 20% and 20,000 common shares, the
par value of each type of share being ` 10. The company
had a total profit of ` 1,80,000 out of which ` 30,000 was kept
in reserve and the remaining distributed to shareholders.
Find the dividend percent to the common shareholders.
(a) 20% (b) 24%
(c) 25% (d) 30%
12. A man buys apples at a certain price per dozen and sells
them at eight times per hundred. What is his gain or loss
per cent?
(a) 4% loss (b)8¼ loss
(c) 4% gain (d)6¼ % gain
Page 2


SECTION I
QUANTITATIVE APTITUDE  & DATA
INRERPRETATION
1. At a college football game, 4/5 of the seats in the lower deck
of the stadium were sold. If 1/4 of all the seating in the stadium
is located in the lower deck, and if 2/3 of all the seats in the
stadium were sold, then what fraction of the unsold seats in
the stadium was in the lower deck ?
(a) 3/20 (b) 1/6
(c) 1/5 (d) 1/3
2. A country follows a progressive taxation system under which
the income tax rates applicable varies for different slabs of
income. Total tax is computed by calculating the tax for each
slab and adding them up. The rates applicable are as follows :
0
50,001
60,001
Annual income Tax rate
-
-
-
>
50,000
60,000
1,50,000
1,50,000
0%
10%
20%
30%
If my income is ` 1,70,000, then what is the tax payable by me?
(a) ` 51,000 (b) ` 17,000
(c) ` 34,000 (d) ` 25,000
3. A private telephone company serving a small community
makes a profit of ` 12 per subscriber, if it has 725 subscribers.
It decides to reduce the rate by a fixed sum for each subscriber
over 725, thereby reducing the profit by 1 paise per subscriber.
Thus, there will be profit of ` 11.99 on each of the 726
subscribers, ` 11.98 on each of the 727 subscribers etc. The
number of subscribers which will give the company, the
maximum profit, is:
(a) 961 (b) 962
(c) 963 (d) None of these
4. A milkman buys milk contained in 10 vessels of equal size. If
he sells his milk at ` 5 a litre, he loses ` 200; if he sells it at Rs.
6 a litre, he would gain ` 150 on the whole. Find the number
of litres contained in each vessel.
(a) 20 litres (b) 30 litres
(c) 25 litres (d) 35 litres
5. A firm of readymade garments makes both men’s and
women’s shirts. Its average profit is 6% of the sales. Average
profit in men’s shirts is 8% of the sales and women’s shirts
comprise 60% of the output. The average profit per sale
rupee in women shirts is
(a) 0.0466 (b) 0.0666
(c) 0.0166 (d) None of these
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2012       
(HELD ON 16-12-2012)
(Based on Memory)
6. In an express train, the numbers of passengers travelling in
A.C. Sleeper Class, First Class and Sleeper Class are in the
ratio 1 : 2 : 3, and the fares to each of these classes are in the
ratio 5 : 4 : 2. If the total income from this train is ` 54000, then
the income from the A.C. sleeper class is
(a) ` 8000 (b) ` 12000
(c) ` 10000 (d) None of these
7. A dealer buys dry fruit at the rate of ` 100, ` 80 and Rs. 60 per
kg. He bought them in the ratio 12 : 15 : 20 by weight. He in
total gets 20% profit by selling the first two and at last he
finds he has no gain no loss in selling the whole quantity
which he had. What was the percentage loss he  suffered for
the third quantity ?
(a) 40% (b) 20%
(c) 30% (d) 50%
8. Rahul started a business with a capital of ` 8,000. After six
months, Sanjay joined him with investment of some capital.
If at the end of the year each of them gets equal amount as
profit, how much did Sanjay invest in the business?
(a) ` 17,500 (b) ` 18,000
(c) ` 16,000 (d) ` 16,500
9. A man buys a watch for ` 1950 in cash and sells it for ` 2200
on credit of 1 year. If the rate of interest is 10% per annum,
then the man
(a) Gains ` 55 (b) Gains ` 50
(c) Loses ` 30 (d) Gains ` 30
10. An article is listed at ` 65. A customer bought this article for
` 56.16 and got two successive discounts of which the first
one is 10%. The other rate of discount of this scheme that
was allowed by the shopkeeper was :
(a) 3% (b) 4%
(c) 6% (d) 2%
11. The capital of a company is made up of 50,000 preferred
shares with dividend of 20% and 20,000 common shares, the
par value of each type of share being ` 10. The company
had a total profit of ` 1,80,000 out of which ` 30,000 was kept
in reserve and the remaining distributed to shareholders.
Find the dividend percent to the common shareholders.
(a) 20% (b) 24%
(c) 25% (d) 30%
12. A man buys apples at a certain price per dozen and sells
them at eight times per hundred. What is his gain or loss
per cent?
(a) 4% loss (b)8¼ loss
(c) 4% gain (d)6¼ % gain
 
13. By selling 12 notebooks, the seller earns a profit equal to the
selling price of two notebooks. What is his percentage
profit?
(a) 25% (b) 20%
(c)
2
16
3
% (d) Data inadequate
14. A manufacturer of a certain item can sell all he can produce
at the selling price of ` 60 each. It costs him ` 40 in materials
and labour to produce each item and he has overhead
expenses of ` 3,000 per week in order to operate that plant.
The number of units he should produce and sell in order to
make a profit of at least ` 1,000 per week is
(a) 300 (b) 250
(c) 400 (d) 200
15. An aeroplane first flew with a speed of 440 km/h and covered
a certain distance. It still had to cover 770 km less than what
it had already covered, but it flew with a speed of 660 km/h.
The average speed  for the entire flight was 500 km/h. Find
the total distance covered.
(a) 3250 km (b) 2750 km
(c) 4400 km (d) 1375 km
16. Train A running at 60 km/h leaves Mumbai for Delhi at 6 p.m.
Train B running at 90 km/h also leaves for Delhi at 9 p.m.
Train C leaves Delhi for Mumbai at 9 p.m. If all the three
trains meet at the same time between Mumbai and Delhi,
then what is the speed of train C, if distance between Delhi
and Mumbai  is 1260 km ?
(a) 60 km/h (b) 90 km/h
(c) 120 km/h (d) 135 km/h
17. A  contractor undertakes to built a walls in 50 days. He
employs 50 peoples for the same. However after 25 days he
finds that only 40% of the work is complete. How many more
man need to be employed to complete the work in time?
(a) 25 (b) 30
(c) 35 (d) 20
18. A race course is 400 metres long. A and B run a race and A
wins by 5 metres. B and C run over the same course and B
wins by 4 metres. C and D run over it and D wins by 16
metres. If A and D run over it, then who would win and by
how much ?
(a) A by 8.4 metres (b) D by 8.4 metres
(c) D by 7.3 metres (d) A by 7.3 metres
19. A leak was found in a ship when it was 77 km from the shore.
It was found that the leak admits 2.25 tonnes of water in 5.5
minutes. 92 tonnes will suffice to sink the ship. But the pumps
can throw out the water @ 12 tonnes an hour. Find the
average rate of sailing  at which the ship may reach the
shore as it begins to sink.
(a) 9.75 km/h (b) 13 km/h
(c) 14.5 km/h (d) 10.5 km/h
20. A man in a train notices that he can count 21 telephone
posts in one minute. If they are known to be 50 metres apart,
then at what speed is the train travelling ?
(a) 45 km/h (b) 60 km/h
(c) 63 km/h (d) 65 km/h
21. A man buys a certain quantity of apples, mangoes and
bananas. If the mangoes were to cost as same as apples, he
would have to forego the bananas to buy the same number
of mangoes as he had bought earlier (for the same total
amount). The amount spent by him on mangoes and bananas
together is 50% more than the amount spent on apple. The
total amount spent in the transaction is ` 140. The number
of mangoes bought is the same as the number of bananas. If
he wishes to buy the same number of apples as well, how
much additional amount would have to be spent by him ?
(a) 56 (b) 140
(c) 28 (d) 42
22. In a special racing event, the person who enclosed the
maximum area would be the winner and would get ` 100
every square metre of area covered by him/her. Jonnson,
who successfully completed the race and was the eventual
winner, enclosed the area shown in the figure below. What
is the prize money won?
(Note : The arc from C to D makes a complete semi-circle).
AB = 3 m, BC = 10 m, CD = BE = 2 m
B
A
E D
C
(a) ` 2914 (b) ` 2457
(c) ` 2614 (d) ` 2500
23. A lawn is in the form of a isosceles triangle. The cost of
turfing on it came to ` 1,200 at ` 4 per m
2
. If the base be 40 m
long, find the length of each side.
(a) 25 m (b) 24 m
(c) 26 m (d) None of these
24. A survey on a sample of 25 new cars being sold at a local
auto dealer was conducted to see which of the three popular
options–air-conditioning, radio and power windows–were
already installed.
The survey found :
15 had air-conditioning.
2 had air-conditioning and power windows but no radios.
12 had radios.
6 had air-conditioning and radios but no power windows.
11 had power windows.
4 had radio and power windows.
3 had all three options.
What is the number of cars that had none of the options?
(a)4 (b)3
(c)1 (d)2
25. Large, medium and small ships are used to bring water. 4
large ships carry as much water as 7 small ships. 3 medium
ships carry the same amount of water as 2 large ships, and 1
small ship. 15 large, 7 medium and 14 small ships each made
36 journeys and brought a certain quantity of water. In how
many journeys would 12 large, 14 medium and 21 small ships
bring the same quantity ?
(a) 32 (b) 25
(c) 29 (d) 49
Page 3


SECTION I
QUANTITATIVE APTITUDE  & DATA
INRERPRETATION
1. At a college football game, 4/5 of the seats in the lower deck
of the stadium were sold. If 1/4 of all the seating in the stadium
is located in the lower deck, and if 2/3 of all the seats in the
stadium were sold, then what fraction of the unsold seats in
the stadium was in the lower deck ?
(a) 3/20 (b) 1/6
(c) 1/5 (d) 1/3
2. A country follows a progressive taxation system under which
the income tax rates applicable varies for different slabs of
income. Total tax is computed by calculating the tax for each
slab and adding them up. The rates applicable are as follows :
0
50,001
60,001
Annual income Tax rate
-
-
-
>
50,000
60,000
1,50,000
1,50,000
0%
10%
20%
30%
If my income is ` 1,70,000, then what is the tax payable by me?
(a) ` 51,000 (b) ` 17,000
(c) ` 34,000 (d) ` 25,000
3. A private telephone company serving a small community
makes a profit of ` 12 per subscriber, if it has 725 subscribers.
It decides to reduce the rate by a fixed sum for each subscriber
over 725, thereby reducing the profit by 1 paise per subscriber.
Thus, there will be profit of ` 11.99 on each of the 726
subscribers, ` 11.98 on each of the 727 subscribers etc. The
number of subscribers which will give the company, the
maximum profit, is:
(a) 961 (b) 962
(c) 963 (d) None of these
4. A milkman buys milk contained in 10 vessels of equal size. If
he sells his milk at ` 5 a litre, he loses ` 200; if he sells it at Rs.
6 a litre, he would gain ` 150 on the whole. Find the number
of litres contained in each vessel.
(a) 20 litres (b) 30 litres
(c) 25 litres (d) 35 litres
5. A firm of readymade garments makes both men’s and
women’s shirts. Its average profit is 6% of the sales. Average
profit in men’s shirts is 8% of the sales and women’s shirts
comprise 60% of the output. The average profit per sale
rupee in women shirts is
(a) 0.0466 (b) 0.0666
(c) 0.0166 (d) None of these
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2012       
(HELD ON 16-12-2012)
(Based on Memory)
6. In an express train, the numbers of passengers travelling in
A.C. Sleeper Class, First Class and Sleeper Class are in the
ratio 1 : 2 : 3, and the fares to each of these classes are in the
ratio 5 : 4 : 2. If the total income from this train is ` 54000, then
the income from the A.C. sleeper class is
(a) ` 8000 (b) ` 12000
(c) ` 10000 (d) None of these
7. A dealer buys dry fruit at the rate of ` 100, ` 80 and Rs. 60 per
kg. He bought them in the ratio 12 : 15 : 20 by weight. He in
total gets 20% profit by selling the first two and at last he
finds he has no gain no loss in selling the whole quantity
which he had. What was the percentage loss he  suffered for
the third quantity ?
(a) 40% (b) 20%
(c) 30% (d) 50%
8. Rahul started a business with a capital of ` 8,000. After six
months, Sanjay joined him with investment of some capital.
If at the end of the year each of them gets equal amount as
profit, how much did Sanjay invest in the business?
(a) ` 17,500 (b) ` 18,000
(c) ` 16,000 (d) ` 16,500
9. A man buys a watch for ` 1950 in cash and sells it for ` 2200
on credit of 1 year. If the rate of interest is 10% per annum,
then the man
(a) Gains ` 55 (b) Gains ` 50
(c) Loses ` 30 (d) Gains ` 30
10. An article is listed at ` 65. A customer bought this article for
` 56.16 and got two successive discounts of which the first
one is 10%. The other rate of discount of this scheme that
was allowed by the shopkeeper was :
(a) 3% (b) 4%
(c) 6% (d) 2%
11. The capital of a company is made up of 50,000 preferred
shares with dividend of 20% and 20,000 common shares, the
par value of each type of share being ` 10. The company
had a total profit of ` 1,80,000 out of which ` 30,000 was kept
in reserve and the remaining distributed to shareholders.
Find the dividend percent to the common shareholders.
(a) 20% (b) 24%
(c) 25% (d) 30%
12. A man buys apples at a certain price per dozen and sells
them at eight times per hundred. What is his gain or loss
per cent?
(a) 4% loss (b)8¼ loss
(c) 4% gain (d)6¼ % gain
 
13. By selling 12 notebooks, the seller earns a profit equal to the
selling price of two notebooks. What is his percentage
profit?
(a) 25% (b) 20%
(c)
2
16
3
% (d) Data inadequate
14. A manufacturer of a certain item can sell all he can produce
at the selling price of ` 60 each. It costs him ` 40 in materials
and labour to produce each item and he has overhead
expenses of ` 3,000 per week in order to operate that plant.
The number of units he should produce and sell in order to
make a profit of at least ` 1,000 per week is
(a) 300 (b) 250
(c) 400 (d) 200
15. An aeroplane first flew with a speed of 440 km/h and covered
a certain distance. It still had to cover 770 km less than what
it had already covered, but it flew with a speed of 660 km/h.
The average speed  for the entire flight was 500 km/h. Find
the total distance covered.
(a) 3250 km (b) 2750 km
(c) 4400 km (d) 1375 km
16. Train A running at 60 km/h leaves Mumbai for Delhi at 6 p.m.
Train B running at 90 km/h also leaves for Delhi at 9 p.m.
Train C leaves Delhi for Mumbai at 9 p.m. If all the three
trains meet at the same time between Mumbai and Delhi,
then what is the speed of train C, if distance between Delhi
and Mumbai  is 1260 km ?
(a) 60 km/h (b) 90 km/h
(c) 120 km/h (d) 135 km/h
17. A  contractor undertakes to built a walls in 50 days. He
employs 50 peoples for the same. However after 25 days he
finds that only 40% of the work is complete. How many more
man need to be employed to complete the work in time?
(a) 25 (b) 30
(c) 35 (d) 20
18. A race course is 400 metres long. A and B run a race and A
wins by 5 metres. B and C run over the same course and B
wins by 4 metres. C and D run over it and D wins by 16
metres. If A and D run over it, then who would win and by
how much ?
(a) A by 8.4 metres (b) D by 8.4 metres
(c) D by 7.3 metres (d) A by 7.3 metres
19. A leak was found in a ship when it was 77 km from the shore.
It was found that the leak admits 2.25 tonnes of water in 5.5
minutes. 92 tonnes will suffice to sink the ship. But the pumps
can throw out the water @ 12 tonnes an hour. Find the
average rate of sailing  at which the ship may reach the
shore as it begins to sink.
(a) 9.75 km/h (b) 13 km/h
(c) 14.5 km/h (d) 10.5 km/h
20. A man in a train notices that he can count 21 telephone
posts in one minute. If they are known to be 50 metres apart,
then at what speed is the train travelling ?
(a) 45 km/h (b) 60 km/h
(c) 63 km/h (d) 65 km/h
21. A man buys a certain quantity of apples, mangoes and
bananas. If the mangoes were to cost as same as apples, he
would have to forego the bananas to buy the same number
of mangoes as he had bought earlier (for the same total
amount). The amount spent by him on mangoes and bananas
together is 50% more than the amount spent on apple. The
total amount spent in the transaction is ` 140. The number
of mangoes bought is the same as the number of bananas. If
he wishes to buy the same number of apples as well, how
much additional amount would have to be spent by him ?
(a) 56 (b) 140
(c) 28 (d) 42
22. In a special racing event, the person who enclosed the
maximum area would be the winner and would get ` 100
every square metre of area covered by him/her. Jonnson,
who successfully completed the race and was the eventual
winner, enclosed the area shown in the figure below. What
is the prize money won?
(Note : The arc from C to D makes a complete semi-circle).
AB = 3 m, BC = 10 m, CD = BE = 2 m
B
A
E D
C
(a) ` 2914 (b) ` 2457
(c) ` 2614 (d) ` 2500
23. A lawn is in the form of a isosceles triangle. The cost of
turfing on it came to ` 1,200 at ` 4 per m
2
. If the base be 40 m
long, find the length of each side.
(a) 25 m (b) 24 m
(c) 26 m (d) None of these
24. A survey on a sample of 25 new cars being sold at a local
auto dealer was conducted to see which of the three popular
options–air-conditioning, radio and power windows–were
already installed.
The survey found :
15 had air-conditioning.
2 had air-conditioning and power windows but no radios.
12 had radios.
6 had air-conditioning and radios but no power windows.
11 had power windows.
4 had radio and power windows.
3 had all three options.
What is the number of cars that had none of the options?
(a)4 (b)3
(c)1 (d)2
25. Large, medium and small ships are used to bring water. 4
large ships carry as much water as 7 small ships. 3 medium
ships carry the same amount of water as 2 large ships, and 1
small ship. 15 large, 7 medium and 14 small ships each made
36 journeys and brought a certain quantity of water. In how
many journeys would 12 large, 14 medium and 21 small ships
bring the same quantity ?
(a) 32 (b) 25
(c) 29 (d) 49
 
26. The age of the father 5 years ago was 5 times the age of his
son. At present the father's age is 3 times that of his son.
What is the present age of the father?
(a) 33 years (b) 30 years
(c) 45 years (d) None of these
27. The probability that a contractor will get a plumbing contract
is 2/3 and the probability that he will not get an electric
contract is 5/9. If the probability of getting at least one
contract is 4/5, what is the probability that he will get both?
(a) 31/45 (b) 8/45
(c) 14/45 (d) None of these
28. A candidate is selected for interview for three posts. For the
first post there are 5 candidates, for the second there are 8
and for third there are 7. What are the chances for his getting
at least one post?
(a)
1
5
(b)
3
5
(c)
2
5
(d)
4
5
29. The number of ways in which a committee of 3 ladies and 4
gentlemen can be appointed out of 8 ladies and 7 gentlemen,
if Mrs. X refuses to serve in a committee of which Mr. Y is a
member, is
(a) 1,540 (b) 1,960
(c) 3,240 (d) None of these
30. A bus starts from city X. The number of women in the bus is
half of the number of men. In city Y , 10 men leave the bus and
five women enter. Now the number of men and women is
equal. In the beginning, how many passengers entered the
bus?
(a) 15 (b) 30
(c) 36 (d) 45
31. Balls are arranged in rows to form an equilateral triangle.
The first row consists of one ball, the second row consists
of two balls and so on. If 669 more balls are added, then all
the balls can be arranged in the shape of a square and each
of the sides contains 8 balls less than each side of the triangle
had. The initial number of balls is
(a) 1600 (b) 1500
(c) 1540 (d) 1690
32. The shaded region in the following V enn Diagram represents:
A
B
C
(a) ) C B ( A È È (b) ) C B ( A Ç È
(c) ) C B ( A È Ç (d) None of these
DIRECTIONS (Qs. 33-36) : Read the following table carefully to
answer these questions.
Details of Leading Openers’ Performance in
20 One-day cricket matches.
Openers
A
B
C
D
E
994
751
414
653
772
141
130
52
94
85
5
1
-
-
-
3
8
2
4
7
1
2
2
1
-
T otal Highest
100 or
more
50-99 0's
No. of matches
Runs Runs
with runs
33. What is the difference between the average runs of top two
openers in terms of highest runs, if matches having 0’s were
ignored?
(a) 11.1 (b) 13.7
(c) 4.7 (d) None of these
34. If matches having zero runs and the one with highest runs is
ignored, what will be the average runs for opener C?
(a) 20.7 (b) 21.79
(c) 21.29 (d) 21.17
35. By how much, does the difference between the two highest
total runs differ from the difference between the two lowest
total runs?
(a) More by 4 (b) More by 18
(c) Lower by 18 (d) None of these
36. Which of the given pairs of openers have ratio 5 : 2 in their
highest runs?
(a) A and B (b) B and C
(c) B and D (d) D and C
DIRECTIONS (Qs. 37-40): Study the pie-chart below to answer
these questions. The chart gives the composition of solar
radiation.
UV Rays
20%
IR Rays
10%
Beta Rays
5%
Gamma Rays
5%
Micro waves
5%
X -Rays
30%
Radio waves
15%
Alpha Rays
10%
T otal sun rays received in one minute = 3600 units
Page 4


SECTION I
QUANTITATIVE APTITUDE  & DATA
INRERPRETATION
1. At a college football game, 4/5 of the seats in the lower deck
of the stadium were sold. If 1/4 of all the seating in the stadium
is located in the lower deck, and if 2/3 of all the seats in the
stadium were sold, then what fraction of the unsold seats in
the stadium was in the lower deck ?
(a) 3/20 (b) 1/6
(c) 1/5 (d) 1/3
2. A country follows a progressive taxation system under which
the income tax rates applicable varies for different slabs of
income. Total tax is computed by calculating the tax for each
slab and adding them up. The rates applicable are as follows :
0
50,001
60,001
Annual income Tax rate
-
-
-
>
50,000
60,000
1,50,000
1,50,000
0%
10%
20%
30%
If my income is ` 1,70,000, then what is the tax payable by me?
(a) ` 51,000 (b) ` 17,000
(c) ` 34,000 (d) ` 25,000
3. A private telephone company serving a small community
makes a profit of ` 12 per subscriber, if it has 725 subscribers.
It decides to reduce the rate by a fixed sum for each subscriber
over 725, thereby reducing the profit by 1 paise per subscriber.
Thus, there will be profit of ` 11.99 on each of the 726
subscribers, ` 11.98 on each of the 727 subscribers etc. The
number of subscribers which will give the company, the
maximum profit, is:
(a) 961 (b) 962
(c) 963 (d) None of these
4. A milkman buys milk contained in 10 vessels of equal size. If
he sells his milk at ` 5 a litre, he loses ` 200; if he sells it at Rs.
6 a litre, he would gain ` 150 on the whole. Find the number
of litres contained in each vessel.
(a) 20 litres (b) 30 litres
(c) 25 litres (d) 35 litres
5. A firm of readymade garments makes both men’s and
women’s shirts. Its average profit is 6% of the sales. Average
profit in men’s shirts is 8% of the sales and women’s shirts
comprise 60% of the output. The average profit per sale
rupee in women shirts is
(a) 0.0466 (b) 0.0666
(c) 0.0166 (d) None of these
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2012       
(HELD ON 16-12-2012)
(Based on Memory)
6. In an express train, the numbers of passengers travelling in
A.C. Sleeper Class, First Class and Sleeper Class are in the
ratio 1 : 2 : 3, and the fares to each of these classes are in the
ratio 5 : 4 : 2. If the total income from this train is ` 54000, then
the income from the A.C. sleeper class is
(a) ` 8000 (b) ` 12000
(c) ` 10000 (d) None of these
7. A dealer buys dry fruit at the rate of ` 100, ` 80 and Rs. 60 per
kg. He bought them in the ratio 12 : 15 : 20 by weight. He in
total gets 20% profit by selling the first two and at last he
finds he has no gain no loss in selling the whole quantity
which he had. What was the percentage loss he  suffered for
the third quantity ?
(a) 40% (b) 20%
(c) 30% (d) 50%
8. Rahul started a business with a capital of ` 8,000. After six
months, Sanjay joined him with investment of some capital.
If at the end of the year each of them gets equal amount as
profit, how much did Sanjay invest in the business?
(a) ` 17,500 (b) ` 18,000
(c) ` 16,000 (d) ` 16,500
9. A man buys a watch for ` 1950 in cash and sells it for ` 2200
on credit of 1 year. If the rate of interest is 10% per annum,
then the man
(a) Gains ` 55 (b) Gains ` 50
(c) Loses ` 30 (d) Gains ` 30
10. An article is listed at ` 65. A customer bought this article for
` 56.16 and got two successive discounts of which the first
one is 10%. The other rate of discount of this scheme that
was allowed by the shopkeeper was :
(a) 3% (b) 4%
(c) 6% (d) 2%
11. The capital of a company is made up of 50,000 preferred
shares with dividend of 20% and 20,000 common shares, the
par value of each type of share being ` 10. The company
had a total profit of ` 1,80,000 out of which ` 30,000 was kept
in reserve and the remaining distributed to shareholders.
Find the dividend percent to the common shareholders.
(a) 20% (b) 24%
(c) 25% (d) 30%
12. A man buys apples at a certain price per dozen and sells
them at eight times per hundred. What is his gain or loss
per cent?
(a) 4% loss (b)8¼ loss
(c) 4% gain (d)6¼ % gain
 
13. By selling 12 notebooks, the seller earns a profit equal to the
selling price of two notebooks. What is his percentage
profit?
(a) 25% (b) 20%
(c)
2
16
3
% (d) Data inadequate
14. A manufacturer of a certain item can sell all he can produce
at the selling price of ` 60 each. It costs him ` 40 in materials
and labour to produce each item and he has overhead
expenses of ` 3,000 per week in order to operate that plant.
The number of units he should produce and sell in order to
make a profit of at least ` 1,000 per week is
(a) 300 (b) 250
(c) 400 (d) 200
15. An aeroplane first flew with a speed of 440 km/h and covered
a certain distance. It still had to cover 770 km less than what
it had already covered, but it flew with a speed of 660 km/h.
The average speed  for the entire flight was 500 km/h. Find
the total distance covered.
(a) 3250 km (b) 2750 km
(c) 4400 km (d) 1375 km
16. Train A running at 60 km/h leaves Mumbai for Delhi at 6 p.m.
Train B running at 90 km/h also leaves for Delhi at 9 p.m.
Train C leaves Delhi for Mumbai at 9 p.m. If all the three
trains meet at the same time between Mumbai and Delhi,
then what is the speed of train C, if distance between Delhi
and Mumbai  is 1260 km ?
(a) 60 km/h (b) 90 km/h
(c) 120 km/h (d) 135 km/h
17. A  contractor undertakes to built a walls in 50 days. He
employs 50 peoples for the same. However after 25 days he
finds that only 40% of the work is complete. How many more
man need to be employed to complete the work in time?
(a) 25 (b) 30
(c) 35 (d) 20
18. A race course is 400 metres long. A and B run a race and A
wins by 5 metres. B and C run over the same course and B
wins by 4 metres. C and D run over it and D wins by 16
metres. If A and D run over it, then who would win and by
how much ?
(a) A by 8.4 metres (b) D by 8.4 metres
(c) D by 7.3 metres (d) A by 7.3 metres
19. A leak was found in a ship when it was 77 km from the shore.
It was found that the leak admits 2.25 tonnes of water in 5.5
minutes. 92 tonnes will suffice to sink the ship. But the pumps
can throw out the water @ 12 tonnes an hour. Find the
average rate of sailing  at which the ship may reach the
shore as it begins to sink.
(a) 9.75 km/h (b) 13 km/h
(c) 14.5 km/h (d) 10.5 km/h
20. A man in a train notices that he can count 21 telephone
posts in one minute. If they are known to be 50 metres apart,
then at what speed is the train travelling ?
(a) 45 km/h (b) 60 km/h
(c) 63 km/h (d) 65 km/h
21. A man buys a certain quantity of apples, mangoes and
bananas. If the mangoes were to cost as same as apples, he
would have to forego the bananas to buy the same number
of mangoes as he had bought earlier (for the same total
amount). The amount spent by him on mangoes and bananas
together is 50% more than the amount spent on apple. The
total amount spent in the transaction is ` 140. The number
of mangoes bought is the same as the number of bananas. If
he wishes to buy the same number of apples as well, how
much additional amount would have to be spent by him ?
(a) 56 (b) 140
(c) 28 (d) 42
22. In a special racing event, the person who enclosed the
maximum area would be the winner and would get ` 100
every square metre of area covered by him/her. Jonnson,
who successfully completed the race and was the eventual
winner, enclosed the area shown in the figure below. What
is the prize money won?
(Note : The arc from C to D makes a complete semi-circle).
AB = 3 m, BC = 10 m, CD = BE = 2 m
B
A
E D
C
(a) ` 2914 (b) ` 2457
(c) ` 2614 (d) ` 2500
23. A lawn is in the form of a isosceles triangle. The cost of
turfing on it came to ` 1,200 at ` 4 per m
2
. If the base be 40 m
long, find the length of each side.
(a) 25 m (b) 24 m
(c) 26 m (d) None of these
24. A survey on a sample of 25 new cars being sold at a local
auto dealer was conducted to see which of the three popular
options–air-conditioning, radio and power windows–were
already installed.
The survey found :
15 had air-conditioning.
2 had air-conditioning and power windows but no radios.
12 had radios.
6 had air-conditioning and radios but no power windows.
11 had power windows.
4 had radio and power windows.
3 had all three options.
What is the number of cars that had none of the options?
(a)4 (b)3
(c)1 (d)2
25. Large, medium and small ships are used to bring water. 4
large ships carry as much water as 7 small ships. 3 medium
ships carry the same amount of water as 2 large ships, and 1
small ship. 15 large, 7 medium and 14 small ships each made
36 journeys and brought a certain quantity of water. In how
many journeys would 12 large, 14 medium and 21 small ships
bring the same quantity ?
(a) 32 (b) 25
(c) 29 (d) 49
 
26. The age of the father 5 years ago was 5 times the age of his
son. At present the father's age is 3 times that of his son.
What is the present age of the father?
(a) 33 years (b) 30 years
(c) 45 years (d) None of these
27. The probability that a contractor will get a plumbing contract
is 2/3 and the probability that he will not get an electric
contract is 5/9. If the probability of getting at least one
contract is 4/5, what is the probability that he will get both?
(a) 31/45 (b) 8/45
(c) 14/45 (d) None of these
28. A candidate is selected for interview for three posts. For the
first post there are 5 candidates, for the second there are 8
and for third there are 7. What are the chances for his getting
at least one post?
(a)
1
5
(b)
3
5
(c)
2
5
(d)
4
5
29. The number of ways in which a committee of 3 ladies and 4
gentlemen can be appointed out of 8 ladies and 7 gentlemen,
if Mrs. X refuses to serve in a committee of which Mr. Y is a
member, is
(a) 1,540 (b) 1,960
(c) 3,240 (d) None of these
30. A bus starts from city X. The number of women in the bus is
half of the number of men. In city Y , 10 men leave the bus and
five women enter. Now the number of men and women is
equal. In the beginning, how many passengers entered the
bus?
(a) 15 (b) 30
(c) 36 (d) 45
31. Balls are arranged in rows to form an equilateral triangle.
The first row consists of one ball, the second row consists
of two balls and so on. If 669 more balls are added, then all
the balls can be arranged in the shape of a square and each
of the sides contains 8 balls less than each side of the triangle
had. The initial number of balls is
(a) 1600 (b) 1500
(c) 1540 (d) 1690
32. The shaded region in the following V enn Diagram represents:
A
B
C
(a) ) C B ( A È È (b) ) C B ( A Ç È
(c) ) C B ( A È Ç (d) None of these
DIRECTIONS (Qs. 33-36) : Read the following table carefully to
answer these questions.
Details of Leading Openers’ Performance in
20 One-day cricket matches.
Openers
A
B
C
D
E
994
751
414
653
772
141
130
52
94
85
5
1
-
-
-
3
8
2
4
7
1
2
2
1
-
T otal Highest
100 or
more
50-99 0's
No. of matches
Runs Runs
with runs
33. What is the difference between the average runs of top two
openers in terms of highest runs, if matches having 0’s were
ignored?
(a) 11.1 (b) 13.7
(c) 4.7 (d) None of these
34. If matches having zero runs and the one with highest runs is
ignored, what will be the average runs for opener C?
(a) 20.7 (b) 21.79
(c) 21.29 (d) 21.17
35. By how much, does the difference between the two highest
total runs differ from the difference between the two lowest
total runs?
(a) More by 4 (b) More by 18
(c) Lower by 18 (d) None of these
36. Which of the given pairs of openers have ratio 5 : 2 in their
highest runs?
(a) A and B (b) B and C
(c) B and D (d) D and C
DIRECTIONS (Qs. 37-40): Study the pie-chart below to answer
these questions. The chart gives the composition of solar
radiation.
UV Rays
20%
IR Rays
10%
Beta Rays
5%
Gamma Rays
5%
Micro waves
5%
X -Rays
30%
Radio waves
15%
Alpha Rays
10%
T otal sun rays received in one minute = 3600 units
 
37. If the human body can withstand a maximum of 9720 units of
IR rays when exposed to the sun continuously, then what is
the maximum time in minutes that any person could stand in
the sun without crossing the threshold limit of IR rays?
(a) 23 (b) 19
(c) 27 (d) 29
38. The amount of Beta rays in 10 minutes of the sun rays is
how many times the amount of IR rays in 3 minutes of the
sun rays?
(a) 1.44 (b) 1.33
(c) 1.66 (d) 1.55
39. How many minutes of exposure to the sun in a day would be
enough to ensure that the body receives enough amount of
Vitamin D, given that the body requires 40 units of Vitamin
D, every day and that 30 units of Beta rays generate one unit
of Vitamin D?
(a)
1
5
3
(b)
2
5
3
(c)
1
6
3
(d)
2
6
3
40. The amount of Alpha rays received in two minutes is how
much more/less than amount of Radio waves received in 4
minutes?
(a) 1320 units more (b) 1200 units less
(c) 1440 units less (d) 1600 units more
SECTION II
ANALYTICAL & LOGICAL REASONING
DIRECTIONS (Qs. 41-44)  : Answer these questions based on
the diagram given below.
Females
Asians
Professionals
Christians
2
1
12
5 8 9
10 7
4
6
3
11
41. Asian Non-Christian females who are Professionals are
represented by
(a)3 (b) 10
(c)8 (d) 11
42. Asian females who are neither professional nor Christians
are denoted by
(a)6 (b)9
(c) 10 (d)3
43. Non-Asian professional Christian male are represented by
(a) 10 (b) 11
(c) 12 (d)9
44. Christian females who are non-professional and Asian are
represented by
(a)5 (b) 10
(c)9 (d) None of these
DIRECTIONS (Qs. 45): Select the pair of words, which exhibits
the same relationship between each other as the given capitalized
pair of words.
45. INSIPID: PIQUANT ::
(a) relish: spice (b) tasty: bland
(c) sweet: dessert (d) flat: spicy
46. In a certain code, TERMINAL is written as SDQLJOBM.
How is CREDIBLE written in that code?
(a) BQDCJCMF (b) BQDCHAKD
(c) DSFEJCMF (d) DSFEHAKD
47. Find out the missing letter/number in place of questiom mark
in the figure below.
T
W
J
T G
P
D
S
3 15
10 ?
(a) 11 (b)5
(c)9 (d) 13
48.
1 2 3 2 10 12
2 5 12 10 16 13
1 2 1 ? 10 24
(a)5 (b) 11
(c) 13 (d)8
DIRECTIONS (Qs. 49 to 51) : Study the information below to
answer these questions.
 Seeta, Rajinder and Surinder are children of Mr. and Mrs.
Aggarwal.
 Renu, Raja and Sunil are children of Mr and Mrs. Malhotra.
 Sunil and Seeta are a married couple and Ashok and Sanjay
are their children.
 Geeta and Rakesh are children of Mr. and Mrs. Gupta.
 Geeta is married to Surinder and has three children named
Rita, Sonu and Raju.
49. How is Rajinder related to Ashok?
(a) Father–in–law (b) Brother–in–law
(c) Cousin (d) Maternal Uncle
50. What is Sanjay’s surname?
(a) Gupta (b) Malhotra
(c) Aggarwal (d) Surinder
51. Renu is Sanjay’s _______.
(a) Sister–in–law (b) Sister
(c) Cousin (d) Aunty
Page 5


SECTION I
QUANTITATIVE APTITUDE  & DATA
INRERPRETATION
1. At a college football game, 4/5 of the seats in the lower deck
of the stadium were sold. If 1/4 of all the seating in the stadium
is located in the lower deck, and if 2/3 of all the seats in the
stadium were sold, then what fraction of the unsold seats in
the stadium was in the lower deck ?
(a) 3/20 (b) 1/6
(c) 1/5 (d) 1/3
2. A country follows a progressive taxation system under which
the income tax rates applicable varies for different slabs of
income. Total tax is computed by calculating the tax for each
slab and adding them up. The rates applicable are as follows :
0
50,001
60,001
Annual income Tax rate
-
-
-
>
50,000
60,000
1,50,000
1,50,000
0%
10%
20%
30%
If my income is ` 1,70,000, then what is the tax payable by me?
(a) ` 51,000 (b) ` 17,000
(c) ` 34,000 (d) ` 25,000
3. A private telephone company serving a small community
makes a profit of ` 12 per subscriber, if it has 725 subscribers.
It decides to reduce the rate by a fixed sum for each subscriber
over 725, thereby reducing the profit by 1 paise per subscriber.
Thus, there will be profit of ` 11.99 on each of the 726
subscribers, ` 11.98 on each of the 727 subscribers etc. The
number of subscribers which will give the company, the
maximum profit, is:
(a) 961 (b) 962
(c) 963 (d) None of these
4. A milkman buys milk contained in 10 vessels of equal size. If
he sells his milk at ` 5 a litre, he loses ` 200; if he sells it at Rs.
6 a litre, he would gain ` 150 on the whole. Find the number
of litres contained in each vessel.
(a) 20 litres (b) 30 litres
(c) 25 litres (d) 35 litres
5. A firm of readymade garments makes both men’s and
women’s shirts. Its average profit is 6% of the sales. Average
profit in men’s shirts is 8% of the sales and women’s shirts
comprise 60% of the output. The average profit per sale
rupee in women shirts is
(a) 0.0466 (b) 0.0666
(c) 0.0166 (d) None of these
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2012       
(HELD ON 16-12-2012)
(Based on Memory)
6. In an express train, the numbers of passengers travelling in
A.C. Sleeper Class, First Class and Sleeper Class are in the
ratio 1 : 2 : 3, and the fares to each of these classes are in the
ratio 5 : 4 : 2. If the total income from this train is ` 54000, then
the income from the A.C. sleeper class is
(a) ` 8000 (b) ` 12000
(c) ` 10000 (d) None of these
7. A dealer buys dry fruit at the rate of ` 100, ` 80 and Rs. 60 per
kg. He bought them in the ratio 12 : 15 : 20 by weight. He in
total gets 20% profit by selling the first two and at last he
finds he has no gain no loss in selling the whole quantity
which he had. What was the percentage loss he  suffered for
the third quantity ?
(a) 40% (b) 20%
(c) 30% (d) 50%
8. Rahul started a business with a capital of ` 8,000. After six
months, Sanjay joined him with investment of some capital.
If at the end of the year each of them gets equal amount as
profit, how much did Sanjay invest in the business?
(a) ` 17,500 (b) ` 18,000
(c) ` 16,000 (d) ` 16,500
9. A man buys a watch for ` 1950 in cash and sells it for ` 2200
on credit of 1 year. If the rate of interest is 10% per annum,
then the man
(a) Gains ` 55 (b) Gains ` 50
(c) Loses ` 30 (d) Gains ` 30
10. An article is listed at ` 65. A customer bought this article for
` 56.16 and got two successive discounts of which the first
one is 10%. The other rate of discount of this scheme that
was allowed by the shopkeeper was :
(a) 3% (b) 4%
(c) 6% (d) 2%
11. The capital of a company is made up of 50,000 preferred
shares with dividend of 20% and 20,000 common shares, the
par value of each type of share being ` 10. The company
had a total profit of ` 1,80,000 out of which ` 30,000 was kept
in reserve and the remaining distributed to shareholders.
Find the dividend percent to the common shareholders.
(a) 20% (b) 24%
(c) 25% (d) 30%
12. A man buys apples at a certain price per dozen and sells
them at eight times per hundred. What is his gain or loss
per cent?
(a) 4% loss (b)8¼ loss
(c) 4% gain (d)6¼ % gain
 
13. By selling 12 notebooks, the seller earns a profit equal to the
selling price of two notebooks. What is his percentage
profit?
(a) 25% (b) 20%
(c)
2
16
3
% (d) Data inadequate
14. A manufacturer of a certain item can sell all he can produce
at the selling price of ` 60 each. It costs him ` 40 in materials
and labour to produce each item and he has overhead
expenses of ` 3,000 per week in order to operate that plant.
The number of units he should produce and sell in order to
make a profit of at least ` 1,000 per week is
(a) 300 (b) 250
(c) 400 (d) 200
15. An aeroplane first flew with a speed of 440 km/h and covered
a certain distance. It still had to cover 770 km less than what
it had already covered, but it flew with a speed of 660 km/h.
The average speed  for the entire flight was 500 km/h. Find
the total distance covered.
(a) 3250 km (b) 2750 km
(c) 4400 km (d) 1375 km
16. Train A running at 60 km/h leaves Mumbai for Delhi at 6 p.m.
Train B running at 90 km/h also leaves for Delhi at 9 p.m.
Train C leaves Delhi for Mumbai at 9 p.m. If all the three
trains meet at the same time between Mumbai and Delhi,
then what is the speed of train C, if distance between Delhi
and Mumbai  is 1260 km ?
(a) 60 km/h (b) 90 km/h
(c) 120 km/h (d) 135 km/h
17. A  contractor undertakes to built a walls in 50 days. He
employs 50 peoples for the same. However after 25 days he
finds that only 40% of the work is complete. How many more
man need to be employed to complete the work in time?
(a) 25 (b) 30
(c) 35 (d) 20
18. A race course is 400 metres long. A and B run a race and A
wins by 5 metres. B and C run over the same course and B
wins by 4 metres. C and D run over it and D wins by 16
metres. If A and D run over it, then who would win and by
how much ?
(a) A by 8.4 metres (b) D by 8.4 metres
(c) D by 7.3 metres (d) A by 7.3 metres
19. A leak was found in a ship when it was 77 km from the shore.
It was found that the leak admits 2.25 tonnes of water in 5.5
minutes. 92 tonnes will suffice to sink the ship. But the pumps
can throw out the water @ 12 tonnes an hour. Find the
average rate of sailing  at which the ship may reach the
shore as it begins to sink.
(a) 9.75 km/h (b) 13 km/h
(c) 14.5 km/h (d) 10.5 km/h
20. A man in a train notices that he can count 21 telephone
posts in one minute. If they are known to be 50 metres apart,
then at what speed is the train travelling ?
(a) 45 km/h (b) 60 km/h
(c) 63 km/h (d) 65 km/h
21. A man buys a certain quantity of apples, mangoes and
bananas. If the mangoes were to cost as same as apples, he
would have to forego the bananas to buy the same number
of mangoes as he had bought earlier (for the same total
amount). The amount spent by him on mangoes and bananas
together is 50% more than the amount spent on apple. The
total amount spent in the transaction is ` 140. The number
of mangoes bought is the same as the number of bananas. If
he wishes to buy the same number of apples as well, how
much additional amount would have to be spent by him ?
(a) 56 (b) 140
(c) 28 (d) 42
22. In a special racing event, the person who enclosed the
maximum area would be the winner and would get ` 100
every square metre of area covered by him/her. Jonnson,
who successfully completed the race and was the eventual
winner, enclosed the area shown in the figure below. What
is the prize money won?
(Note : The arc from C to D makes a complete semi-circle).
AB = 3 m, BC = 10 m, CD = BE = 2 m
B
A
E D
C
(a) ` 2914 (b) ` 2457
(c) ` 2614 (d) ` 2500
23. A lawn is in the form of a isosceles triangle. The cost of
turfing on it came to ` 1,200 at ` 4 per m
2
. If the base be 40 m
long, find the length of each side.
(a) 25 m (b) 24 m
(c) 26 m (d) None of these
24. A survey on a sample of 25 new cars being sold at a local
auto dealer was conducted to see which of the three popular
options–air-conditioning, radio and power windows–were
already installed.
The survey found :
15 had air-conditioning.
2 had air-conditioning and power windows but no radios.
12 had radios.
6 had air-conditioning and radios but no power windows.
11 had power windows.
4 had radio and power windows.
3 had all three options.
What is the number of cars that had none of the options?
(a)4 (b)3
(c)1 (d)2
25. Large, medium and small ships are used to bring water. 4
large ships carry as much water as 7 small ships. 3 medium
ships carry the same amount of water as 2 large ships, and 1
small ship. 15 large, 7 medium and 14 small ships each made
36 journeys and brought a certain quantity of water. In how
many journeys would 12 large, 14 medium and 21 small ships
bring the same quantity ?
(a) 32 (b) 25
(c) 29 (d) 49
 
26. The age of the father 5 years ago was 5 times the age of his
son. At present the father's age is 3 times that of his son.
What is the present age of the father?
(a) 33 years (b) 30 years
(c) 45 years (d) None of these
27. The probability that a contractor will get a plumbing contract
is 2/3 and the probability that he will not get an electric
contract is 5/9. If the probability of getting at least one
contract is 4/5, what is the probability that he will get both?
(a) 31/45 (b) 8/45
(c) 14/45 (d) None of these
28. A candidate is selected for interview for three posts. For the
first post there are 5 candidates, for the second there are 8
and for third there are 7. What are the chances for his getting
at least one post?
(a)
1
5
(b)
3
5
(c)
2
5
(d)
4
5
29. The number of ways in which a committee of 3 ladies and 4
gentlemen can be appointed out of 8 ladies and 7 gentlemen,
if Mrs. X refuses to serve in a committee of which Mr. Y is a
member, is
(a) 1,540 (b) 1,960
(c) 3,240 (d) None of these
30. A bus starts from city X. The number of women in the bus is
half of the number of men. In city Y , 10 men leave the bus and
five women enter. Now the number of men and women is
equal. In the beginning, how many passengers entered the
bus?
(a) 15 (b) 30
(c) 36 (d) 45
31. Balls are arranged in rows to form an equilateral triangle.
The first row consists of one ball, the second row consists
of two balls and so on. If 669 more balls are added, then all
the balls can be arranged in the shape of a square and each
of the sides contains 8 balls less than each side of the triangle
had. The initial number of balls is
(a) 1600 (b) 1500
(c) 1540 (d) 1690
32. The shaded region in the following V enn Diagram represents:
A
B
C
(a) ) C B ( A È È (b) ) C B ( A Ç È
(c) ) C B ( A È Ç (d) None of these
DIRECTIONS (Qs. 33-36) : Read the following table carefully to
answer these questions.
Details of Leading Openers’ Performance in
20 One-day cricket matches.
Openers
A
B
C
D
E
994
751
414
653
772
141
130
52
94
85
5
1
-
-
-
3
8
2
4
7
1
2
2
1
-
T otal Highest
100 or
more
50-99 0's
No. of matches
Runs Runs
with runs
33. What is the difference between the average runs of top two
openers in terms of highest runs, if matches having 0’s were
ignored?
(a) 11.1 (b) 13.7
(c) 4.7 (d) None of these
34. If matches having zero runs and the one with highest runs is
ignored, what will be the average runs for opener C?
(a) 20.7 (b) 21.79
(c) 21.29 (d) 21.17
35. By how much, does the difference between the two highest
total runs differ from the difference between the two lowest
total runs?
(a) More by 4 (b) More by 18
(c) Lower by 18 (d) None of these
36. Which of the given pairs of openers have ratio 5 : 2 in their
highest runs?
(a) A and B (b) B and C
(c) B and D (d) D and C
DIRECTIONS (Qs. 37-40): Study the pie-chart below to answer
these questions. The chart gives the composition of solar
radiation.
UV Rays
20%
IR Rays
10%
Beta Rays
5%
Gamma Rays
5%
Micro waves
5%
X -Rays
30%
Radio waves
15%
Alpha Rays
10%
T otal sun rays received in one minute = 3600 units
 
37. If the human body can withstand a maximum of 9720 units of
IR rays when exposed to the sun continuously, then what is
the maximum time in minutes that any person could stand in
the sun without crossing the threshold limit of IR rays?
(a) 23 (b) 19
(c) 27 (d) 29
38. The amount of Beta rays in 10 minutes of the sun rays is
how many times the amount of IR rays in 3 minutes of the
sun rays?
(a) 1.44 (b) 1.33
(c) 1.66 (d) 1.55
39. How many minutes of exposure to the sun in a day would be
enough to ensure that the body receives enough amount of
Vitamin D, given that the body requires 40 units of Vitamin
D, every day and that 30 units of Beta rays generate one unit
of Vitamin D?
(a)
1
5
3
(b)
2
5
3
(c)
1
6
3
(d)
2
6
3
40. The amount of Alpha rays received in two minutes is how
much more/less than amount of Radio waves received in 4
minutes?
(a) 1320 units more (b) 1200 units less
(c) 1440 units less (d) 1600 units more
SECTION II
ANALYTICAL & LOGICAL REASONING
DIRECTIONS (Qs. 41-44)  : Answer these questions based on
the diagram given below.
Females
Asians
Professionals
Christians
2
1
12
5 8 9
10 7
4
6
3
11
41. Asian Non-Christian females who are Professionals are
represented by
(a)3 (b) 10
(c)8 (d) 11
42. Asian females who are neither professional nor Christians
are denoted by
(a)6 (b)9
(c) 10 (d)3
43. Non-Asian professional Christian male are represented by
(a) 10 (b) 11
(c) 12 (d)9
44. Christian females who are non-professional and Asian are
represented by
(a)5 (b) 10
(c)9 (d) None of these
DIRECTIONS (Qs. 45): Select the pair of words, which exhibits
the same relationship between each other as the given capitalized
pair of words.
45. INSIPID: PIQUANT ::
(a) relish: spice (b) tasty: bland
(c) sweet: dessert (d) flat: spicy
46. In a certain code, TERMINAL is written as SDQLJOBM.
How is CREDIBLE written in that code?
(a) BQDCJCMF (b) BQDCHAKD
(c) DSFEJCMF (d) DSFEHAKD
47. Find out the missing letter/number in place of questiom mark
in the figure below.
T
W
J
T G
P
D
S
3 15
10 ?
(a) 11 (b)5
(c)9 (d) 13
48.
1 2 3 2 10 12
2 5 12 10 16 13
1 2 1 ? 10 24
(a)5 (b) 11
(c) 13 (d)8
DIRECTIONS (Qs. 49 to 51) : Study the information below to
answer these questions.
 Seeta, Rajinder and Surinder are children of Mr. and Mrs.
Aggarwal.
 Renu, Raja and Sunil are children of Mr and Mrs. Malhotra.
 Sunil and Seeta are a married couple and Ashok and Sanjay
are their children.
 Geeta and Rakesh are children of Mr. and Mrs. Gupta.
 Geeta is married to Surinder and has three children named
Rita, Sonu and Raju.
49. How is Rajinder related to Ashok?
(a) Father–in–law (b) Brother–in–law
(c) Cousin (d) Maternal Uncle
50. What is Sanjay’s surname?
(a) Gupta (b) Malhotra
(c) Aggarwal (d) Surinder
51. Renu is Sanjay’s _______.
(a) Sister–in–law (b) Sister
(c) Cousin (d) Aunty
 
52. Mohan is the son of Arun’s father’s sister. Prakash is the
son of Reva, who is the mother of Vikas and grandmother of
Arun. Pranab is the father of Neela and the grandfather of
Mohan. Reva is the wife of Pranab. How is the wife of Vikas
related to Neela?
(a) Sister (b) Sister-in-law
(c) Niece (d) None of these
DIRECTIONS (Qs. 53 - 56) : Read the information given below to
answer the questions that follow.
I. A cube has six sides, each of which has a different colour :
black, blue, brown, green, red and white.
II. The red side is opposite the black.
III. The green side is between the red and the black.
IV . The blue side is adjacent to the white.
V . The brown side is adjacent to the blue.
VI. The red side is the bottom face.
53. The four colours adjacent to green are
(a) black, blue, brown, red
(b) black, blue, brown, white
(c) black, blue, red, white
(d) black, brown, red, white
54. Which of the following can be deduced from the statements
I, II and VI ?
(a) Black is on the top (b) Blue is on the top
(c) Brown is on the top (d) Brown is opposite to black
55. Which of the following statements given above adds no
information that is not already given by the other statements?
(a) II (b) III
(c)V (d) VI
56. If the red side is exchanged for the green side and the blue is
swapped for black, then which of the following is false ?
(a) Red is opposite to black.
(b) White is adjacent to brown.
(c) Green is opposite to blue.
(d) White is adjacent to blue.
DIRECTIONS (Qs. 57-60) : Read the following information to
answer these questions.
Ankit is decorating his room and trying to arrange six
paintings on the east and west walls in his room. The paintings
are each multicolour representations of one of the letters of the
alphabets E, H, M, O, R, T.  Ankit does not want the three letters
on each wall to make any common English word. Also, the colours
of the O and E do not look good next to each other, nor do the T
and O go well together.
57. If Ankit puts E, H and M on the east wall, which of the
following must be true?
(a) R and M cannot face each other.
(b) O cannot be in the centre of the west wall.
(c) E cannot be in the centre of the east wall.
(d) T and M cannot face each other.
58. If Ankit’ s mother is coming to visit and he decides to celebrate
the visit by having his paintings spell “MOTHER”, starting
with the leftmost painting on the east wall and going around
the room, which of the following will be false?
(a) O is opposite to E
(b) H is next to E
(c) T is next to O
(d) T is opposite to R
59. Which of the following is not possible?
(a) T and O to be opposite to each other
(b) T, H and E to be on the same wall
(c) H, M and R to be on the same wall
(d) M and O to be opposite to each other
60. If Ankit trades his M painting for another O painting just like
the one he has now, which of the following must be false?
(a) O’s can be on opposite walls in the middle
(b) Either R or H will be next to an O
(c) Either R or H will be next to either T or E
(d) T will be opposite to either O or E.
DIRECTIONS (Qs. 61 - 64) : Study the following information
carefully and answer the given questions.
P , Q, R, S, T, V , W and X are captains of eight different cricket
teams, namely Australia, New Zealand, India, Pakistan, Sri Lanka,
England, West Indies and South Africa, but not necessarily in the
same order. All of them are seated around a circular table and are
facing the centre.
P sits third to the left of the Sri Lankan captain. Only two
people sit between T and W. Neither T nor W is an immediate
neighbour of P. Neither T and W is the captain of Sri lanka. The
captain of South Africa sits second to the right of S. S is not an
immediate neighbour of P.S. is not the Sri Lankan captain and P is
not the captain of South Africa. The Australian captain sits third
to the left of V. The Australian and Sri Lankan captains are not
immediate neighbours. Only one person sits between S and the
Indian captain. Captains of Pakistan and New Zealand are
immediate neighbours. S is not the captain of New Zealand’s team.
Only one person sits between Q and the captain of England. The
captain of England is an immediate neighbour of X. W and Q are
not immediate neighbours.
61. How many people sit between T and the captain of England
when counted in clockwise direction from T?
(a) None (b) One
(c) Two (d) Four
62. Who is the captain of the Australian team?
(a)P (b)V
(c)W (d)T
63. Which of the following would come in place of question
mark based upon the given seating arrangement?
VS    XR  TV  RP ?
(a) SW (b) WX
(c) QW (d) QX