SNAP 2016: Previous Year Question Paper with Solutions

 Page 1


QUANTITATIVE APTITUDE  & DATA
INTERPRETATION
1. The ratio of monthly incomes of A and B is 7 : 6 and the
ratio of their monthly expenditures is 5 : 4. If each of them
saves ` 600 per month, find the sum of their monthly
incomes?
(a) 3600 (b) 2100
(c) 3900 (d) None of these
2. A and B have together three times what B and C have,
while A, B and C together have 150 rupees more than that
of A If B has five times that of C, then A has
(a) ` 300 (b) ` 325
(c) ` 375 (d) ` 225
3. A cricket player after playing 15 tests scored 124 runs in
the 16
th
 test. As a result, the average of his runs is
increased by 4. The present average of runs is
(a) 55 (b) 64
(c) 60 (d) 68
4. A fruit seller buys some apples at the rate of 5 for ` 6 and
an equal number more at 4 for ` 5. He sells the whole lot
at 9 for ` 11. What is his loss or gain percent?
(a) loss 
100
%
441
(b) gain 
100
%
441
(c) No profit No loss (d) Loss  
5
%
22
5. A can do a piece of work in 6 days while B alone can do
it in 8 days. With the help of C, they can complete the
work in 2 days. If they are paid ` 720 for the whole work,
how much money A gets?
(a) ` 180 (b) ` 240
(c) ` 300 (d) ` 420
6. P and Q are working on an assignment. P takes 3 hours
to type 20 pages on a computer. While Q take 4 hours to
type 25 pages. How much time will they together take to
type an assignment of 620 pages working on two different
computers?
(a) 64 hrs (b) 48 hrs
(c) 40 hrs. (d) 60 hrs.
7. A shopkeeper bought 30 kg of rice at the rate of ` 90 per
kg. He sold forty percent of the total quantity at the rate
of ` 60 per kg. Approximately at what price per kg should
he sell the remaining quantity to make 25% overall profit?
(a) 155.5 (b) 167.5
(c) 157.5 (d) 147.5
8. If X= 23 + , then the value of 
1
x
x
+
 is
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2016       
(HELD ON 18-12-2016)
(Based on Memory)
(a)
3
(b)
6
(c)
26
(d) 6
9. In an equilateral triangle ABC, if the area of its in-circle is
4p cm
2
, then find the length of the angle bisector AD?
(a) 2 cm (b) 4 cm
(c) 6 cm (d) 10 cm
10. If 
1
x5
x1
+=
-
, then find the value of 
1 2
(x 1)
2
(x 1)
-+
-
 ?
(a) 10 (b) 11
(c) 14 (d) None of these
11. Veeru gave ` 2400 on loan. Some amount he gave at 4%
per annum simple interest  and remaining at 5% per annum
simple interest. After two years he got ` 220 as interest,
Then the amount given at 4% and 5% per annum simple
interest are, respectively?
(a) ` 1000, `1400 (b) ` 800, ` 1600
(c) ` 1800 ` 600 (d) ` 2200, ` 200
12. A student was asked to divide a number by 6 and add 12
to the quotient. He however, first added 12 to the number
and then divided it by 6, getting 112 as the answer. The
correct answer should have been.
(a) 124 (b) 172
(c) 118 (d) 122
13. The average of marks obtained by 120 candidates in a
certain examination is 35. If the average marks of passed
candidates is 39 and that of the failed candidates is 15,
what is the number of candidates who passed the
examination?
(a) 90 (b) 85
(c) 100 (d) 120
14. Two pipes A, B can fill a tank in 24 min. and 32 min.
respectively. If both the pipes are opened simultaneously,
after how much time B should be closed so that the tank
is full in 18 min.?
(a) 8 min (b) 12 min
(c) 15 min (d) 20 min
15. A tap can fill a tank in 6 hours. After half the tank is filled,
three more similar taps are opene. What is the total time
taken to fill the tank completely?
(a) 3 hours 15 min (b) 3 hours 45 min
(c) 3 hours 40 min (d) 3 hours 50 min
16. A company produces two articles, A and B The per unit
price of A is 25% less than per unit price of B By what
percent is the sales of A more than sales of B if the
revenue earned from A is 1.5 times total revenue earned
from B.
(a) 50%      (b)  75% (c) 100%      (d) 125%
Page 2


QUANTITATIVE APTITUDE  & DATA
INTERPRETATION
1. The ratio of monthly incomes of A and B is 7 : 6 and the
ratio of their monthly expenditures is 5 : 4. If each of them
saves ` 600 per month, find the sum of their monthly
incomes?
(a) 3600 (b) 2100
(c) 3900 (d) None of these
2. A and B have together three times what B and C have,
while A, B and C together have 150 rupees more than that
of A If B has five times that of C, then A has
(a) ` 300 (b) ` 325
(c) ` 375 (d) ` 225
3. A cricket player after playing 15 tests scored 124 runs in
the 16
th
 test. As a result, the average of his runs is
increased by 4. The present average of runs is
(a) 55 (b) 64
(c) 60 (d) 68
4. A fruit seller buys some apples at the rate of 5 for ` 6 and
an equal number more at 4 for ` 5. He sells the whole lot
at 9 for ` 11. What is his loss or gain percent?
(a) loss 
100
%
441
(b) gain 
100
%
441
(c) No profit No loss (d) Loss  
5
%
22
5. A can do a piece of work in 6 days while B alone can do
it in 8 days. With the help of C, they can complete the
work in 2 days. If they are paid ` 720 for the whole work,
how much money A gets?
(a) ` 180 (b) ` 240
(c) ` 300 (d) ` 420
6. P and Q are working on an assignment. P takes 3 hours
to type 20 pages on a computer. While Q take 4 hours to
type 25 pages. How much time will they together take to
type an assignment of 620 pages working on two different
computers?
(a) 64 hrs (b) 48 hrs
(c) 40 hrs. (d) 60 hrs.
7. A shopkeeper bought 30 kg of rice at the rate of ` 90 per
kg. He sold forty percent of the total quantity at the rate
of ` 60 per kg. Approximately at what price per kg should
he sell the remaining quantity to make 25% overall profit?
(a) 155.5 (b) 167.5
(c) 157.5 (d) 147.5
8. If X= 23 + , then the value of 
1
x
x
+
 is
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2016       
(HELD ON 18-12-2016)
(Based on Memory)
(a)
3
(b)
6
(c)
26
(d) 6
9. In an equilateral triangle ABC, if the area of its in-circle is
4p cm
2
, then find the length of the angle bisector AD?
(a) 2 cm (b) 4 cm
(c) 6 cm (d) 10 cm
10. If 
1
x5
x1
+=
-
, then find the value of 
1 2
(x 1)
2
(x 1)
-+
-
 ?
(a) 10 (b) 11
(c) 14 (d) None of these
11. Veeru gave ` 2400 on loan. Some amount he gave at 4%
per annum simple interest  and remaining at 5% per annum
simple interest. After two years he got ` 220 as interest,
Then the amount given at 4% and 5% per annum simple
interest are, respectively?
(a) ` 1000, `1400 (b) ` 800, ` 1600
(c) ` 1800 ` 600 (d) ` 2200, ` 200
12. A student was asked to divide a number by 6 and add 12
to the quotient. He however, first added 12 to the number
and then divided it by 6, getting 112 as the answer. The
correct answer should have been.
(a) 124 (b) 172
(c) 118 (d) 122
13. The average of marks obtained by 120 candidates in a
certain examination is 35. If the average marks of passed
candidates is 39 and that of the failed candidates is 15,
what is the number of candidates who passed the
examination?
(a) 90 (b) 85
(c) 100 (d) 120
14. Two pipes A, B can fill a tank in 24 min. and 32 min.
respectively. If both the pipes are opened simultaneously,
after how much time B should be closed so that the tank
is full in 18 min.?
(a) 8 min (b) 12 min
(c) 15 min (d) 20 min
15. A tap can fill a tank in 6 hours. After half the tank is filled,
three more similar taps are opene. What is the total time
taken to fill the tank completely?
(a) 3 hours 15 min (b) 3 hours 45 min
(c) 3 hours 40 min (d) 3 hours 50 min
16. A company produces two articles, A and B The per unit
price of A is 25% less than per unit price of B By what
percent is the sales of A more than sales of B if the
revenue earned from A is 1.5 times total revenue earned
from B.
(a) 50%      (b)  75% (c) 100%      (d) 125%
  
17. The salary of a man increase by 10% in first year, then by
20% in second year and then by 25% in third year. If the
last increase is equivalent to an increase of ` 6600, then
what is the equivalent of second increase?
(a) ` 2000 (b) ` 2200
(c) ` 4000 (d) ` 4400
18. The profit earned after selling an article for ` 996 is the
same as the loss incurred after selling the article for ` 894.
What is the cost price of the article?
(a) ` 935 (b) ` 905
(c) ` 945 (d) ` 975
19. Deepti invests 11% of her monthly salary i.e., ` 5,236 in
Fixed Deposits. Later she invests 19% of her salary on
Life insurance policies. Also, she invests 7% of her
monthly salary on Mututal funds. What is the total annual
amount invested by Deepti?
(a) ` 2,11,344 (b) ` 17,612
(c) ` 1,05,672 (d) ` 35,224
20. By selling 18 articles, a shopkeeper earns the cost price
of 24 articles. By what percent should he increase the
selling price so that by selling 24 articles, he earns cost
price of 36 articles?
(a) 10% (b) 20%
(c) 12.5% (d) 25%
21. If sec (7q+28°) = cosec (30°– 3q), then find q?
(a) 8° (b) 5°
(c) 6° (d) 9°
22. Find the value of cos24
°
 + cos55
°
 + cos125° + cos156
°
(a)0 (b) 2
(c)3 (d) 1
23. If ax + by = 6, bx – ay = 2 and x
2
 + y
2
 = 4 , then the value
of (a
2
 + b
2
) would be :
(a) 10 (b) 2
(c)4 (d) 5
24. A cylindrical pipe of radius 1.4 m has water flowing out
a speed of 2.5m/sec into a cuboidal tank of dimensions
28m×11m×25m. The flow of water completely occupies the
cross-sectional area of the pipe. What percentage of the
tank is filled up in 8min and 20sec?
(a) 66.66% (b) 100%
(c) 86% (d) 75%
25. The area of trapezium of height 40cm is 1600cm
2
. One
parallel side is 10cm longer than the other side. Find the
ratio of lengths of the parallel side.
(a) 7:9 (b) 5:7
(c) 3:5 (d) 2:3
26. Some spherical balls of diameter 2.8 cm are dropped into
a cylindrical container containing some water and are fully
submerged The diameter of the container is 14 cm. Find
how many balls have been dropped in it if the water rises
by 11.2 cm.
(a) 50 (b) 150
      (c) 250 (d) 350
27. In a competition, a school awarded medals in different
categories. 36 medals in dance, 12 medals in dramatics and
18 medals in music. If these medals went to a total of 45
persons and only 4 persons got medals in all the three
categories, how many received medals in exactly two of
these categories?
(a)7 (b) 5
(c)3 (d) 2
28. Let u = (log
2
 x)
2 
– 6log
2 
x + 12 where x is a real number.
Then the equation x
u
 = 256, has
(a) no solution for x
(b) exactly one solution for x
(c) exactly two distinct solutions for x
(d) exactly three distinct solutions for x
DIRECTION (Qs. 29 to 30) : Each of the following questions
is followed by two statements.
Mark,
(a) if the question can be answered with the help of statement
I alone,
(b) if the question can be answered with the help of statement
II alone,
(c) if both, statement I and statement II are needed to answer
the question, and
(d) if the statement cannot be answered even with the help of
both the statements.
29. If R is an integer between 1 & 9, P – R = 2370, what is the
value of R?
I. P is divisible by 4.
II. P is divisible by 9.
30. A man distributed 43 chocolates to his children. How
many of his children are more than five years old?
I. A child older than five years gets 5 chocolates.
II. A child 5 years or younger in age gets 6 chocolates.
31. There are six boxes numbered 1, 2, 3, 4, 5, 6. Each box is
to be filled up either with a white ball or a black ball in
such a manner that at least one box contains a black ball
and all the boxes containing black balls are consecutively
numbered. The total number of ways in which this can be
done equals.
(a) 15 (b) 21
(c) 63 (d) 64
DIRECTIONS (Qs. 32-35) Answer the questions based on the
following graph.
Revenue obtained by a publishing house while selling books,
magazines and journals (`in lakh).
90
80
70
60
50
40
30
20
10
0
Journals
Magazines
Books
2014  2015  2016  2017
Page 3


QUANTITATIVE APTITUDE  & DATA
INTERPRETATION
1. The ratio of monthly incomes of A and B is 7 : 6 and the
ratio of their monthly expenditures is 5 : 4. If each of them
saves ` 600 per month, find the sum of their monthly
incomes?
(a) 3600 (b) 2100
(c) 3900 (d) None of these
2. A and B have together three times what B and C have,
while A, B and C together have 150 rupees more than that
of A If B has five times that of C, then A has
(a) ` 300 (b) ` 325
(c) ` 375 (d) ` 225
3. A cricket player after playing 15 tests scored 124 runs in
the 16
th
 test. As a result, the average of his runs is
increased by 4. The present average of runs is
(a) 55 (b) 64
(c) 60 (d) 68
4. A fruit seller buys some apples at the rate of 5 for ` 6 and
an equal number more at 4 for ` 5. He sells the whole lot
at 9 for ` 11. What is his loss or gain percent?
(a) loss 
100
%
441
(b) gain 
100
%
441
(c) No profit No loss (d) Loss  
5
%
22
5. A can do a piece of work in 6 days while B alone can do
it in 8 days. With the help of C, they can complete the
work in 2 days. If they are paid ` 720 for the whole work,
how much money A gets?
(a) ` 180 (b) ` 240
(c) ` 300 (d) ` 420
6. P and Q are working on an assignment. P takes 3 hours
to type 20 pages on a computer. While Q take 4 hours to
type 25 pages. How much time will they together take to
type an assignment of 620 pages working on two different
computers?
(a) 64 hrs (b) 48 hrs
(c) 40 hrs. (d) 60 hrs.
7. A shopkeeper bought 30 kg of rice at the rate of ` 90 per
kg. He sold forty percent of the total quantity at the rate
of ` 60 per kg. Approximately at what price per kg should
he sell the remaining quantity to make 25% overall profit?
(a) 155.5 (b) 167.5
(c) 157.5 (d) 147.5
8. If X= 23 + , then the value of 
1
x
x
+
 is
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2016       
(HELD ON 18-12-2016)
(Based on Memory)
(a)
3
(b)
6
(c)
26
(d) 6
9. In an equilateral triangle ABC, if the area of its in-circle is
4p cm
2
, then find the length of the angle bisector AD?
(a) 2 cm (b) 4 cm
(c) 6 cm (d) 10 cm
10. If 
1
x5
x1
+=
-
, then find the value of 
1 2
(x 1)
2
(x 1)
-+
-
 ?
(a) 10 (b) 11
(c) 14 (d) None of these
11. Veeru gave ` 2400 on loan. Some amount he gave at 4%
per annum simple interest  and remaining at 5% per annum
simple interest. After two years he got ` 220 as interest,
Then the amount given at 4% and 5% per annum simple
interest are, respectively?
(a) ` 1000, `1400 (b) ` 800, ` 1600
(c) ` 1800 ` 600 (d) ` 2200, ` 200
12. A student was asked to divide a number by 6 and add 12
to the quotient. He however, first added 12 to the number
and then divided it by 6, getting 112 as the answer. The
correct answer should have been.
(a) 124 (b) 172
(c) 118 (d) 122
13. The average of marks obtained by 120 candidates in a
certain examination is 35. If the average marks of passed
candidates is 39 and that of the failed candidates is 15,
what is the number of candidates who passed the
examination?
(a) 90 (b) 85
(c) 100 (d) 120
14. Two pipes A, B can fill a tank in 24 min. and 32 min.
respectively. If both the pipes are opened simultaneously,
after how much time B should be closed so that the tank
is full in 18 min.?
(a) 8 min (b) 12 min
(c) 15 min (d) 20 min
15. A tap can fill a tank in 6 hours. After half the tank is filled,
three more similar taps are opene. What is the total time
taken to fill the tank completely?
(a) 3 hours 15 min (b) 3 hours 45 min
(c) 3 hours 40 min (d) 3 hours 50 min
16. A company produces two articles, A and B The per unit
price of A is 25% less than per unit price of B By what
percent is the sales of A more than sales of B if the
revenue earned from A is 1.5 times total revenue earned
from B.
(a) 50%      (b)  75% (c) 100%      (d) 125%
  
17. The salary of a man increase by 10% in first year, then by
20% in second year and then by 25% in third year. If the
last increase is equivalent to an increase of ` 6600, then
what is the equivalent of second increase?
(a) ` 2000 (b) ` 2200
(c) ` 4000 (d) ` 4400
18. The profit earned after selling an article for ` 996 is the
same as the loss incurred after selling the article for ` 894.
What is the cost price of the article?
(a) ` 935 (b) ` 905
(c) ` 945 (d) ` 975
19. Deepti invests 11% of her monthly salary i.e., ` 5,236 in
Fixed Deposits. Later she invests 19% of her salary on
Life insurance policies. Also, she invests 7% of her
monthly salary on Mututal funds. What is the total annual
amount invested by Deepti?
(a) ` 2,11,344 (b) ` 17,612
(c) ` 1,05,672 (d) ` 35,224
20. By selling 18 articles, a shopkeeper earns the cost price
of 24 articles. By what percent should he increase the
selling price so that by selling 24 articles, he earns cost
price of 36 articles?
(a) 10% (b) 20%
(c) 12.5% (d) 25%
21. If sec (7q+28°) = cosec (30°– 3q), then find q?
(a) 8° (b) 5°
(c) 6° (d) 9°
22. Find the value of cos24
°
 + cos55
°
 + cos125° + cos156
°
(a)0 (b) 2
(c)3 (d) 1
23. If ax + by = 6, bx – ay = 2 and x
2
 + y
2
 = 4 , then the value
of (a
2
 + b
2
) would be :
(a) 10 (b) 2
(c)4 (d) 5
24. A cylindrical pipe of radius 1.4 m has water flowing out
a speed of 2.5m/sec into a cuboidal tank of dimensions
28m×11m×25m. The flow of water completely occupies the
cross-sectional area of the pipe. What percentage of the
tank is filled up in 8min and 20sec?
(a) 66.66% (b) 100%
(c) 86% (d) 75%
25. The area of trapezium of height 40cm is 1600cm
2
. One
parallel side is 10cm longer than the other side. Find the
ratio of lengths of the parallel side.
(a) 7:9 (b) 5:7
(c) 3:5 (d) 2:3
26. Some spherical balls of diameter 2.8 cm are dropped into
a cylindrical container containing some water and are fully
submerged The diameter of the container is 14 cm. Find
how many balls have been dropped in it if the water rises
by 11.2 cm.
(a) 50 (b) 150
      (c) 250 (d) 350
27. In a competition, a school awarded medals in different
categories. 36 medals in dance, 12 medals in dramatics and
18 medals in music. If these medals went to a total of 45
persons and only 4 persons got medals in all the three
categories, how many received medals in exactly two of
these categories?
(a)7 (b) 5
(c)3 (d) 2
28. Let u = (log
2
 x)
2 
– 6log
2 
x + 12 where x is a real number.
Then the equation x
u
 = 256, has
(a) no solution for x
(b) exactly one solution for x
(c) exactly two distinct solutions for x
(d) exactly three distinct solutions for x
DIRECTION (Qs. 29 to 30) : Each of the following questions
is followed by two statements.
Mark,
(a) if the question can be answered with the help of statement
I alone,
(b) if the question can be answered with the help of statement
II alone,
(c) if both, statement I and statement II are needed to answer
the question, and
(d) if the statement cannot be answered even with the help of
both the statements.
29. If R is an integer between 1 & 9, P – R = 2370, what is the
value of R?
I. P is divisible by 4.
II. P is divisible by 9.
30. A man distributed 43 chocolates to his children. How
many of his children are more than five years old?
I. A child older than five years gets 5 chocolates.
II. A child 5 years or younger in age gets 6 chocolates.
31. There are six boxes numbered 1, 2, 3, 4, 5, 6. Each box is
to be filled up either with a white ball or a black ball in
such a manner that at least one box contains a black ball
and all the boxes containing black balls are consecutively
numbered. The total number of ways in which this can be
done equals.
(a) 15 (b) 21
(c) 63 (d) 64
DIRECTIONS (Qs. 32-35) Answer the questions based on the
following graph.
Revenue obtained by a publishing house while selling books,
magazines and journals (`in lakh).
90
80
70
60
50
40
30
20
10
0
Journals
Magazines
Books
2014  2015  2016  2017
 
32. Which year shows the highest change in revenue
obtained from journals?
(a) 2013 (b) 2014
(c) 2015 (d) 2016
33. In 2016, what per cent of the total revenue came from
books?
(a) 45% (b) 55%
(c) 35% (d) 25%
34. The number of years in which there was an increase in
revenue from at least two categories is
(a)1 (b) 2
(c)3 (d) 4
35. If 2017 were to show the same growth as 2016 over 2015,
the revenue in 2017 must be
(a) `194 lakh (b) `187 lakh
(c) `172 lakh (d) `177 lakh
DIRECTIONS (Qs. 36-40) : Study the given chart and table
carefully to answer the given questions. The graph shows the
production of Rice, Maize, Pulses and Wheat in six different years.
2011 2012 2013 2014 2015 2016
Year
(Production in thousand tonnes)
450
400
350
300
250
200
150
100
50
0
Rice Wheat Pulses Maize
Percentage of the total production used under various heads
Year Export(%) PDS Supply (%) In open market (%)
2011 40% 12% 48%
2012 20% 18% 62%
2013 25% 16% 59%
2014 30% 14% 56%
2015 15% 20% 65%
2016 20% 22% 58%
36. In 2015 what is the difference between the amount of PDS
supply and that used in export ?
(a) 53000 tonnes (b) 56000 tonnes
(c) 54500 tonnes (d) 52500 tonnes
37. What is the ratio of the production of Pulses to that of
Wheat over the six years ?
(a) 25 : 27 (b) 23 : 25
(c) 23 : 28 (d) 23 : 27
38. In which year is the production the minimum ?
(a) 2012 and 2014 (b) 2015
(c) 2016 (d) 2013 and 2015
39. In which year is the quantity of export the maximum ?
(a) 2011 (b) 2012
(c) 2013 (d) 2014
40. In which year is the quantity of PDS supply the minimum ?
(a) 2011 (b) 2012
(c) 2016 (d) 2015
ANALYTICAL & LOGICAL REASONING
DIRECTIONS (Qs. 41-45) : Study the following information
carefully and answer the given questions.
When a word and number arrangement machine is given an input
line of words and numbers, it arranges them following a particular
rule. The following is an illustration of Input and rearrangement.(All
the numbers are two digit numbers.)
Input: Racecar 7 Mom 12 16 Earth 9 Noon 5 Union
Step 1: Mom Racecar 7 12 16 Earth Noon 5 Union 9
Step 2: Mom 5 7 12 16 Earth Noon Union Racecar 9
Step 3: Mom 5 Earth 16 7 Noon Union 12 Racecar 9
Step 4: Mom 5 Earth 16 Noon 7 Union 12 Racecar 9
Step IV is the last step of above arrangement as the intended
arrangement is obtained.
As per the rules followed in the given steps, find out the appropriate
steps for the Input.
Input : Rotator 9 Wow 14 18 Orange 11 Radar 3 Unit 9
41. Which element comes exactly between '9' and '18' in Step II
of the given Input?
(a) Radar (b) 14
(c) Union (d) Rotator
42. If in the third step,"9" interchanges its position with '14' and
'Orange' also interchanges its position with "rotator" then
which element will be to the immediate right of '18'?
(a) Radar (b) 1 4
(c) Union (d) Rotator
43. Which of the following combinations represent the third
and fifth element from the left end in Step 3 of the given
input?
(a) Orange, Radar (b) Orange, 9
(c) Wow, 18 (d) Rotator, 11
44. Which element is fifth to the right of the one which is eighth
from the right in Step 2 of the given Input?
(a) Radar (b) 1 4
(c) Union (d) Rotator
45. In which step are the elements '5 9 14 18 Orange' found in the
same order?
(a) Third (b) Fourth
(c) Second (d) First
DIRECTIONS (Qs.46-48): Study the following information
carefully and answer the questions given below:
P is the daughter of Q. R has only two children - P and S. T is the
brother of U. S is married to V. R has only two daughters. W is the
mother of Q. T is married to P. W is married to X. R is the son of Y.
46. Who among the following is the father of Q?
(a)W (b) Y
(c)R (d) X
47. Who among the following is the sister-in-law of U?
(a)S (b) P
(c)Q (d) W
Page 4


QUANTITATIVE APTITUDE  & DATA
INTERPRETATION
1. The ratio of monthly incomes of A and B is 7 : 6 and the
ratio of their monthly expenditures is 5 : 4. If each of them
saves ` 600 per month, find the sum of their monthly
incomes?
(a) 3600 (b) 2100
(c) 3900 (d) None of these
2. A and B have together three times what B and C have,
while A, B and C together have 150 rupees more than that
of A If B has five times that of C, then A has
(a) ` 300 (b) ` 325
(c) ` 375 (d) ` 225
3. A cricket player after playing 15 tests scored 124 runs in
the 16
th
 test. As a result, the average of his runs is
increased by 4. The present average of runs is
(a) 55 (b) 64
(c) 60 (d) 68
4. A fruit seller buys some apples at the rate of 5 for ` 6 and
an equal number more at 4 for ` 5. He sells the whole lot
at 9 for ` 11. What is his loss or gain percent?
(a) loss 
100
%
441
(b) gain 
100
%
441
(c) No profit No loss (d) Loss  
5
%
22
5. A can do a piece of work in 6 days while B alone can do
it in 8 days. With the help of C, they can complete the
work in 2 days. If they are paid ` 720 for the whole work,
how much money A gets?
(a) ` 180 (b) ` 240
(c) ` 300 (d) ` 420
6. P and Q are working on an assignment. P takes 3 hours
to type 20 pages on a computer. While Q take 4 hours to
type 25 pages. How much time will they together take to
type an assignment of 620 pages working on two different
computers?
(a) 64 hrs (b) 48 hrs
(c) 40 hrs. (d) 60 hrs.
7. A shopkeeper bought 30 kg of rice at the rate of ` 90 per
kg. He sold forty percent of the total quantity at the rate
of ` 60 per kg. Approximately at what price per kg should
he sell the remaining quantity to make 25% overall profit?
(a) 155.5 (b) 167.5
(c) 157.5 (d) 147.5
8. If X= 23 + , then the value of 
1
x
x
+
 is
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2016       
(HELD ON 18-12-2016)
(Based on Memory)
(a)
3
(b)
6
(c)
26
(d) 6
9. In an equilateral triangle ABC, if the area of its in-circle is
4p cm
2
, then find the length of the angle bisector AD?
(a) 2 cm (b) 4 cm
(c) 6 cm (d) 10 cm
10. If 
1
x5
x1
+=
-
, then find the value of 
1 2
(x 1)
2
(x 1)
-+
-
 ?
(a) 10 (b) 11
(c) 14 (d) None of these
11. Veeru gave ` 2400 on loan. Some amount he gave at 4%
per annum simple interest  and remaining at 5% per annum
simple interest. After two years he got ` 220 as interest,
Then the amount given at 4% and 5% per annum simple
interest are, respectively?
(a) ` 1000, `1400 (b) ` 800, ` 1600
(c) ` 1800 ` 600 (d) ` 2200, ` 200
12. A student was asked to divide a number by 6 and add 12
to the quotient. He however, first added 12 to the number
and then divided it by 6, getting 112 as the answer. The
correct answer should have been.
(a) 124 (b) 172
(c) 118 (d) 122
13. The average of marks obtained by 120 candidates in a
certain examination is 35. If the average marks of passed
candidates is 39 and that of the failed candidates is 15,
what is the number of candidates who passed the
examination?
(a) 90 (b) 85
(c) 100 (d) 120
14. Two pipes A, B can fill a tank in 24 min. and 32 min.
respectively. If both the pipes are opened simultaneously,
after how much time B should be closed so that the tank
is full in 18 min.?
(a) 8 min (b) 12 min
(c) 15 min (d) 20 min
15. A tap can fill a tank in 6 hours. After half the tank is filled,
three more similar taps are opene. What is the total time
taken to fill the tank completely?
(a) 3 hours 15 min (b) 3 hours 45 min
(c) 3 hours 40 min (d) 3 hours 50 min
16. A company produces two articles, A and B The per unit
price of A is 25% less than per unit price of B By what
percent is the sales of A more than sales of B if the
revenue earned from A is 1.5 times total revenue earned
from B.
(a) 50%      (b)  75% (c) 100%      (d) 125%
  
17. The salary of a man increase by 10% in first year, then by
20% in second year and then by 25% in third year. If the
last increase is equivalent to an increase of ` 6600, then
what is the equivalent of second increase?
(a) ` 2000 (b) ` 2200
(c) ` 4000 (d) ` 4400
18. The profit earned after selling an article for ` 996 is the
same as the loss incurred after selling the article for ` 894.
What is the cost price of the article?
(a) ` 935 (b) ` 905
(c) ` 945 (d) ` 975
19. Deepti invests 11% of her monthly salary i.e., ` 5,236 in
Fixed Deposits. Later she invests 19% of her salary on
Life insurance policies. Also, she invests 7% of her
monthly salary on Mututal funds. What is the total annual
amount invested by Deepti?
(a) ` 2,11,344 (b) ` 17,612
(c) ` 1,05,672 (d) ` 35,224
20. By selling 18 articles, a shopkeeper earns the cost price
of 24 articles. By what percent should he increase the
selling price so that by selling 24 articles, he earns cost
price of 36 articles?
(a) 10% (b) 20%
(c) 12.5% (d) 25%
21. If sec (7q+28°) = cosec (30°– 3q), then find q?
(a) 8° (b) 5°
(c) 6° (d) 9°
22. Find the value of cos24
°
 + cos55
°
 + cos125° + cos156
°
(a)0 (b) 2
(c)3 (d) 1
23. If ax + by = 6, bx – ay = 2 and x
2
 + y
2
 = 4 , then the value
of (a
2
 + b
2
) would be :
(a) 10 (b) 2
(c)4 (d) 5
24. A cylindrical pipe of radius 1.4 m has water flowing out
a speed of 2.5m/sec into a cuboidal tank of dimensions
28m×11m×25m. The flow of water completely occupies the
cross-sectional area of the pipe. What percentage of the
tank is filled up in 8min and 20sec?
(a) 66.66% (b) 100%
(c) 86% (d) 75%
25. The area of trapezium of height 40cm is 1600cm
2
. One
parallel side is 10cm longer than the other side. Find the
ratio of lengths of the parallel side.
(a) 7:9 (b) 5:7
(c) 3:5 (d) 2:3
26. Some spherical balls of diameter 2.8 cm are dropped into
a cylindrical container containing some water and are fully
submerged The diameter of the container is 14 cm. Find
how many balls have been dropped in it if the water rises
by 11.2 cm.
(a) 50 (b) 150
      (c) 250 (d) 350
27. In a competition, a school awarded medals in different
categories. 36 medals in dance, 12 medals in dramatics and
18 medals in music. If these medals went to a total of 45
persons and only 4 persons got medals in all the three
categories, how many received medals in exactly two of
these categories?
(a)7 (b) 5
(c)3 (d) 2
28. Let u = (log
2
 x)
2 
– 6log
2 
x + 12 where x is a real number.
Then the equation x
u
 = 256, has
(a) no solution for x
(b) exactly one solution for x
(c) exactly two distinct solutions for x
(d) exactly three distinct solutions for x
DIRECTION (Qs. 29 to 30) : Each of the following questions
is followed by two statements.
Mark,
(a) if the question can be answered with the help of statement
I alone,
(b) if the question can be answered with the help of statement
II alone,
(c) if both, statement I and statement II are needed to answer
the question, and
(d) if the statement cannot be answered even with the help of
both the statements.
29. If R is an integer between 1 & 9, P – R = 2370, what is the
value of R?
I. P is divisible by 4.
II. P is divisible by 9.
30. A man distributed 43 chocolates to his children. How
many of his children are more than five years old?
I. A child older than five years gets 5 chocolates.
II. A child 5 years or younger in age gets 6 chocolates.
31. There are six boxes numbered 1, 2, 3, 4, 5, 6. Each box is
to be filled up either with a white ball or a black ball in
such a manner that at least one box contains a black ball
and all the boxes containing black balls are consecutively
numbered. The total number of ways in which this can be
done equals.
(a) 15 (b) 21
(c) 63 (d) 64
DIRECTIONS (Qs. 32-35) Answer the questions based on the
following graph.
Revenue obtained by a publishing house while selling books,
magazines and journals (`in lakh).
90
80
70
60
50
40
30
20
10
0
Journals
Magazines
Books
2014  2015  2016  2017
 
32. Which year shows the highest change in revenue
obtained from journals?
(a) 2013 (b) 2014
(c) 2015 (d) 2016
33. In 2016, what per cent of the total revenue came from
books?
(a) 45% (b) 55%
(c) 35% (d) 25%
34. The number of years in which there was an increase in
revenue from at least two categories is
(a)1 (b) 2
(c)3 (d) 4
35. If 2017 were to show the same growth as 2016 over 2015,
the revenue in 2017 must be
(a) `194 lakh (b) `187 lakh
(c) `172 lakh (d) `177 lakh
DIRECTIONS (Qs. 36-40) : Study the given chart and table
carefully to answer the given questions. The graph shows the
production of Rice, Maize, Pulses and Wheat in six different years.
2011 2012 2013 2014 2015 2016
Year
(Production in thousand tonnes)
450
400
350
300
250
200
150
100
50
0
Rice Wheat Pulses Maize
Percentage of the total production used under various heads
Year Export(%) PDS Supply (%) In open market (%)
2011 40% 12% 48%
2012 20% 18% 62%
2013 25% 16% 59%
2014 30% 14% 56%
2015 15% 20% 65%
2016 20% 22% 58%
36. In 2015 what is the difference between the amount of PDS
supply and that used in export ?
(a) 53000 tonnes (b) 56000 tonnes
(c) 54500 tonnes (d) 52500 tonnes
37. What is the ratio of the production of Pulses to that of
Wheat over the six years ?
(a) 25 : 27 (b) 23 : 25
(c) 23 : 28 (d) 23 : 27
38. In which year is the production the minimum ?
(a) 2012 and 2014 (b) 2015
(c) 2016 (d) 2013 and 2015
39. In which year is the quantity of export the maximum ?
(a) 2011 (b) 2012
(c) 2013 (d) 2014
40. In which year is the quantity of PDS supply the minimum ?
(a) 2011 (b) 2012
(c) 2016 (d) 2015
ANALYTICAL & LOGICAL REASONING
DIRECTIONS (Qs. 41-45) : Study the following information
carefully and answer the given questions.
When a word and number arrangement machine is given an input
line of words and numbers, it arranges them following a particular
rule. The following is an illustration of Input and rearrangement.(All
the numbers are two digit numbers.)
Input: Racecar 7 Mom 12 16 Earth 9 Noon 5 Union
Step 1: Mom Racecar 7 12 16 Earth Noon 5 Union 9
Step 2: Mom 5 7 12 16 Earth Noon Union Racecar 9
Step 3: Mom 5 Earth 16 7 Noon Union 12 Racecar 9
Step 4: Mom 5 Earth 16 Noon 7 Union 12 Racecar 9
Step IV is the last step of above arrangement as the intended
arrangement is obtained.
As per the rules followed in the given steps, find out the appropriate
steps for the Input.
Input : Rotator 9 Wow 14 18 Orange 11 Radar 3 Unit 9
41. Which element comes exactly between '9' and '18' in Step II
of the given Input?
(a) Radar (b) 14
(c) Union (d) Rotator
42. If in the third step,"9" interchanges its position with '14' and
'Orange' also interchanges its position with "rotator" then
which element will be to the immediate right of '18'?
(a) Radar (b) 1 4
(c) Union (d) Rotator
43. Which of the following combinations represent the third
and fifth element from the left end in Step 3 of the given
input?
(a) Orange, Radar (b) Orange, 9
(c) Wow, 18 (d) Rotator, 11
44. Which element is fifth to the right of the one which is eighth
from the right in Step 2 of the given Input?
(a) Radar (b) 1 4
(c) Union (d) Rotator
45. In which step are the elements '5 9 14 18 Orange' found in the
same order?
(a) Third (b) Fourth
(c) Second (d) First
DIRECTIONS (Qs.46-48): Study the following information
carefully and answer the questions given below:
P is the daughter of Q. R has only two children - P and S. T is the
brother of U. S is married to V. R has only two daughters. W is the
mother of Q. T is married to P. W is married to X. R is the son of Y.
46. Who among the following is the father of Q?
(a)W (b) Y
(c)R (d) X
47. Who among the following is the sister-in-law of U?
(a)S (b) P
(c)Q (d) W
  
48. How is R related to T?
(a) Father-in-law (b) Mother-in-law
(c) Father (d) Mother
DIRECTIONS (Qs.49-50) : Study the information carefully to
answer the questions.
Bala walked 25km towards west, took a left turn and walked 15km.
He again took a left turn and walked 30km. He then took a right
turn and stopped.
49. Now he was facing which direction ?
(a) West (b) East
(c) South (d) North
50. Instead of turning right at the end if he took left and walked
20km, what is the shortest distance to his starting point?
(a)
7 3
km (b)
5 2
km
(c)
2 7
km (d) 2 5 km
51. If in a certain code CRYSTAL is written as DTJSXFR then in
the same code how QUANTUM is written?
(a) WRDNXZS (b) RWDNYZS
(c) RWDNXZS (d) RWNDXZS
52. If in certain code MONKEY is written as ZFLOPN then in
the same code how CHARACTER is written?
(a) SFUDBSCID (b) SFUDBEBID
(c) SFUBIDDBS (d) SFUDBSBID
DIRECTIONS (Qs.53-57) : Study the following arrangement to
answer the given questions.
Y # O U 7 D $ V @ B E 8 © X 1 A C % P 2 4 Q I N 6 M * Z 5
53. If all the numbers are dropped from the above arrangement,
which of the following will be the ninth from the right end?
(a)A (b) C
(c)X (d) Y
54. Which of the following will be the sixth to the left of the
fourteenth from the left end of the above arrangement?
(a)Y (b) O
(c)U (d) V
55. Which of the following is the fifth to the right of the thirteenth
to the left of Q in the given arrangement?
(a)X (b) @
(c)U (d) *
56. How many such vowels are there in the above arrangement,
each of which is immediately preceded by a consonant and
immediately followed by a number?
(a) None (b) One
(c) Two (d) Three
57. How many such symbols are there in the above arrangement,
each of which is immediately preceded and also immediately
followed by a consonant?
(a) One (b) Two
(c) Three (d) Four
58. Which of the following diagrams indicates the best
relationship between Teacher, Writer and Musician?
(a) (b)
(b) (d)
DIRECTIONS (Qs. 59-62): Find the missing number (?) from
the given options.
59. 5, 11, 21, 43, 85, ?
(a) 1 85 (b) 1 70
(c) 1 71 (d) 1 81
60. ADGJ, YVSP , KNQT, ?
(a) SVZB (b) QTWZ
(c) OLIF (d) L OR U
61. 12, 27, 85, 345, ?
(a) 1737 (b) 1380
(c) 1725 (d) 1731
62. Some equations are solved on the basis of a certain system.
Find the correct answer for the unsolved equation on that
basis.
5 × 8 = 28, 3 × 7 = 12, 8 × 6 = 35, 13 × 13 = ?
        (a) 169 (b) 130
(c) 1 40 (d) 144
DIRECTIONS (Qs. 63-65): From the given options choose the
missing number.
63. 4 79
868
3 79
35 49 ?
( a) 63 (b) 8 9
(c) 81 (d) 6 4
64. 768
5 49
3 21
83 56 ?
(a) 146 (b) 128
(c) 136 (d) 148
65.
15 225 30
7 70 20
3?8
(a) 70 (b) 12
(c) 16 (d) 24
66. Identify the figure that completes the pattern of the
question figure?
Question figure
Page 5


QUANTITATIVE APTITUDE  & DATA
INTERPRETATION
1. The ratio of monthly incomes of A and B is 7 : 6 and the
ratio of their monthly expenditures is 5 : 4. If each of them
saves ` 600 per month, find the sum of their monthly
incomes?
(a) 3600 (b) 2100
(c) 3900 (d) None of these
2. A and B have together three times what B and C have,
while A, B and C together have 150 rupees more than that
of A If B has five times that of C, then A has
(a) ` 300 (b) ` 325
(c) ` 375 (d) ` 225
3. A cricket player after playing 15 tests scored 124 runs in
the 16
th
 test. As a result, the average of his runs is
increased by 4. The present average of runs is
(a) 55 (b) 64
(c) 60 (d) 68
4. A fruit seller buys some apples at the rate of 5 for ` 6 and
an equal number more at 4 for ` 5. He sells the whole lot
at 9 for ` 11. What is his loss or gain percent?
(a) loss 
100
%
441
(b) gain 
100
%
441
(c) No profit No loss (d) Loss  
5
%
22
5. A can do a piece of work in 6 days while B alone can do
it in 8 days. With the help of C, they can complete the
work in 2 days. If they are paid ` 720 for the whole work,
how much money A gets?
(a) ` 180 (b) ` 240
(c) ` 300 (d) ` 420
6. P and Q are working on an assignment. P takes 3 hours
to type 20 pages on a computer. While Q take 4 hours to
type 25 pages. How much time will they together take to
type an assignment of 620 pages working on two different
computers?
(a) 64 hrs (b) 48 hrs
(c) 40 hrs. (d) 60 hrs.
7. A shopkeeper bought 30 kg of rice at the rate of ` 90 per
kg. He sold forty percent of the total quantity at the rate
of ` 60 per kg. Approximately at what price per kg should
he sell the remaining quantity to make 25% overall profit?
(a) 155.5 (b) 167.5
(c) 157.5 (d) 147.5
8. If X= 23 + , then the value of 
1
x
x
+
 is
SYMBIOSIS NATIONAL APTITUDE TEST (SNAP)
SOLVED PAPER - 2016       
(HELD ON 18-12-2016)
(Based on Memory)
(a)
3
(b)
6
(c)
26
(d) 6
9. In an equilateral triangle ABC, if the area of its in-circle is
4p cm
2
, then find the length of the angle bisector AD?
(a) 2 cm (b) 4 cm
(c) 6 cm (d) 10 cm
10. If 
1
x5
x1
+=
-
, then find the value of 
1 2
(x 1)
2
(x 1)
-+
-
 ?
(a) 10 (b) 11
(c) 14 (d) None of these
11. Veeru gave ` 2400 on loan. Some amount he gave at 4%
per annum simple interest  and remaining at 5% per annum
simple interest. After two years he got ` 220 as interest,
Then the amount given at 4% and 5% per annum simple
interest are, respectively?
(a) ` 1000, `1400 (b) ` 800, ` 1600
(c) ` 1800 ` 600 (d) ` 2200, ` 200
12. A student was asked to divide a number by 6 and add 12
to the quotient. He however, first added 12 to the number
and then divided it by 6, getting 112 as the answer. The
correct answer should have been.
(a) 124 (b) 172
(c) 118 (d) 122
13. The average of marks obtained by 120 candidates in a
certain examination is 35. If the average marks of passed
candidates is 39 and that of the failed candidates is 15,
what is the number of candidates who passed the
examination?
(a) 90 (b) 85
(c) 100 (d) 120
14. Two pipes A, B can fill a tank in 24 min. and 32 min.
respectively. If both the pipes are opened simultaneously,
after how much time B should be closed so that the tank
is full in 18 min.?
(a) 8 min (b) 12 min
(c) 15 min (d) 20 min
15. A tap can fill a tank in 6 hours. After half the tank is filled,
three more similar taps are opene. What is the total time
taken to fill the tank completely?
(a) 3 hours 15 min (b) 3 hours 45 min
(c) 3 hours 40 min (d) 3 hours 50 min
16. A company produces two articles, A and B The per unit
price of A is 25% less than per unit price of B By what
percent is the sales of A more than sales of B if the
revenue earned from A is 1.5 times total revenue earned
from B.
(a) 50%      (b)  75% (c) 100%      (d) 125%
  
17. The salary of a man increase by 10% in first year, then by
20% in second year and then by 25% in third year. If the
last increase is equivalent to an increase of ` 6600, then
what is the equivalent of second increase?
(a) ` 2000 (b) ` 2200
(c) ` 4000 (d) ` 4400
18. The profit earned after selling an article for ` 996 is the
same as the loss incurred after selling the article for ` 894.
What is the cost price of the article?
(a) ` 935 (b) ` 905
(c) ` 945 (d) ` 975
19. Deepti invests 11% of her monthly salary i.e., ` 5,236 in
Fixed Deposits. Later she invests 19% of her salary on
Life insurance policies. Also, she invests 7% of her
monthly salary on Mututal funds. What is the total annual
amount invested by Deepti?
(a) ` 2,11,344 (b) ` 17,612
(c) ` 1,05,672 (d) ` 35,224
20. By selling 18 articles, a shopkeeper earns the cost price
of 24 articles. By what percent should he increase the
selling price so that by selling 24 articles, he earns cost
price of 36 articles?
(a) 10% (b) 20%
(c) 12.5% (d) 25%
21. If sec (7q+28°) = cosec (30°– 3q), then find q?
(a) 8° (b) 5°
(c) 6° (d) 9°
22. Find the value of cos24
°
 + cos55
°
 + cos125° + cos156
°
(a)0 (b) 2
(c)3 (d) 1
23. If ax + by = 6, bx – ay = 2 and x
2
 + y
2
 = 4 , then the value
of (a
2
 + b
2
) would be :
(a) 10 (b) 2
(c)4 (d) 5
24. A cylindrical pipe of radius 1.4 m has water flowing out
a speed of 2.5m/sec into a cuboidal tank of dimensions
28m×11m×25m. The flow of water completely occupies the
cross-sectional area of the pipe. What percentage of the
tank is filled up in 8min and 20sec?
(a) 66.66% (b) 100%
(c) 86% (d) 75%
25. The area of trapezium of height 40cm is 1600cm
2
. One
parallel side is 10cm longer than the other side. Find the
ratio of lengths of the parallel side.
(a) 7:9 (b) 5:7
(c) 3:5 (d) 2:3
26. Some spherical balls of diameter 2.8 cm are dropped into
a cylindrical container containing some water and are fully
submerged The diameter of the container is 14 cm. Find
how many balls have been dropped in it if the water rises
by 11.2 cm.
(a) 50 (b) 150
      (c) 250 (d) 350
27. In a competition, a school awarded medals in different
categories. 36 medals in dance, 12 medals in dramatics and
18 medals in music. If these medals went to a total of 45
persons and only 4 persons got medals in all the three
categories, how many received medals in exactly two of
these categories?
(a)7 (b) 5
(c)3 (d) 2
28. Let u = (log
2
 x)
2 
– 6log
2 
x + 12 where x is a real number.
Then the equation x
u
 = 256, has
(a) no solution for x
(b) exactly one solution for x
(c) exactly two distinct solutions for x
(d) exactly three distinct solutions for x
DIRECTION (Qs. 29 to 30) : Each of the following questions
is followed by two statements.
Mark,
(a) if the question can be answered with the help of statement
I alone,
(b) if the question can be answered with the help of statement
II alone,
(c) if both, statement I and statement II are needed to answer
the question, and
(d) if the statement cannot be answered even with the help of
both the statements.
29. If R is an integer between 1 & 9, P – R = 2370, what is the
value of R?
I. P is divisible by 4.
II. P is divisible by 9.
30. A man distributed 43 chocolates to his children. How
many of his children are more than five years old?
I. A child older than five years gets 5 chocolates.
II. A child 5 years or younger in age gets 6 chocolates.
31. There are six boxes numbered 1, 2, 3, 4, 5, 6. Each box is
to be filled up either with a white ball or a black ball in
such a manner that at least one box contains a black ball
and all the boxes containing black balls are consecutively
numbered. The total number of ways in which this can be
done equals.
(a) 15 (b) 21
(c) 63 (d) 64
DIRECTIONS (Qs. 32-35) Answer the questions based on the
following graph.
Revenue obtained by a publishing house while selling books,
magazines and journals (`in lakh).
90
80
70
60
50
40
30
20
10
0
Journals
Magazines
Books
2014  2015  2016  2017
 
32. Which year shows the highest change in revenue
obtained from journals?
(a) 2013 (b) 2014
(c) 2015 (d) 2016
33. In 2016, what per cent of the total revenue came from
books?
(a) 45% (b) 55%
(c) 35% (d) 25%
34. The number of years in which there was an increase in
revenue from at least two categories is
(a)1 (b) 2
(c)3 (d) 4
35. If 2017 were to show the same growth as 2016 over 2015,
the revenue in 2017 must be
(a) `194 lakh (b) `187 lakh
(c) `172 lakh (d) `177 lakh
DIRECTIONS (Qs. 36-40) : Study the given chart and table
carefully to answer the given questions. The graph shows the
production of Rice, Maize, Pulses and Wheat in six different years.
2011 2012 2013 2014 2015 2016
Year
(Production in thousand tonnes)
450
400
350
300
250
200
150
100
50
0
Rice Wheat Pulses Maize
Percentage of the total production used under various heads
Year Export(%) PDS Supply (%) In open market (%)
2011 40% 12% 48%
2012 20% 18% 62%
2013 25% 16% 59%
2014 30% 14% 56%
2015 15% 20% 65%
2016 20% 22% 58%
36. In 2015 what is the difference between the amount of PDS
supply and that used in export ?
(a) 53000 tonnes (b) 56000 tonnes
(c) 54500 tonnes (d) 52500 tonnes
37. What is the ratio of the production of Pulses to that of
Wheat over the six years ?
(a) 25 : 27 (b) 23 : 25
(c) 23 : 28 (d) 23 : 27
38. In which year is the production the minimum ?
(a) 2012 and 2014 (b) 2015
(c) 2016 (d) 2013 and 2015
39. In which year is the quantity of export the maximum ?
(a) 2011 (b) 2012
(c) 2013 (d) 2014
40. In which year is the quantity of PDS supply the minimum ?
(a) 2011 (b) 2012
(c) 2016 (d) 2015
ANALYTICAL & LOGICAL REASONING
DIRECTIONS (Qs. 41-45) : Study the following information
carefully and answer the given questions.
When a word and number arrangement machine is given an input
line of words and numbers, it arranges them following a particular
rule. The following is an illustration of Input and rearrangement.(All
the numbers are two digit numbers.)
Input: Racecar 7 Mom 12 16 Earth 9 Noon 5 Union
Step 1: Mom Racecar 7 12 16 Earth Noon 5 Union 9
Step 2: Mom 5 7 12 16 Earth Noon Union Racecar 9
Step 3: Mom 5 Earth 16 7 Noon Union 12 Racecar 9
Step 4: Mom 5 Earth 16 Noon 7 Union 12 Racecar 9
Step IV is the last step of above arrangement as the intended
arrangement is obtained.
As per the rules followed in the given steps, find out the appropriate
steps for the Input.
Input : Rotator 9 Wow 14 18 Orange 11 Radar 3 Unit 9
41. Which element comes exactly between '9' and '18' in Step II
of the given Input?
(a) Radar (b) 14
(c) Union (d) Rotator
42. If in the third step,"9" interchanges its position with '14' and
'Orange' also interchanges its position with "rotator" then
which element will be to the immediate right of '18'?
(a) Radar (b) 1 4
(c) Union (d) Rotator
43. Which of the following combinations represent the third
and fifth element from the left end in Step 3 of the given
input?
(a) Orange, Radar (b) Orange, 9
(c) Wow, 18 (d) Rotator, 11
44. Which element is fifth to the right of the one which is eighth
from the right in Step 2 of the given Input?
(a) Radar (b) 1 4
(c) Union (d) Rotator
45. In which step are the elements '5 9 14 18 Orange' found in the
same order?
(a) Third (b) Fourth
(c) Second (d) First
DIRECTIONS (Qs.46-48): Study the following information
carefully and answer the questions given below:
P is the daughter of Q. R has only two children - P and S. T is the
brother of U. S is married to V. R has only two daughters. W is the
mother of Q. T is married to P. W is married to X. R is the son of Y.
46. Who among the following is the father of Q?
(a)W (b) Y
(c)R (d) X
47. Who among the following is the sister-in-law of U?
(a)S (b) P
(c)Q (d) W
  
48. How is R related to T?
(a) Father-in-law (b) Mother-in-law
(c) Father (d) Mother
DIRECTIONS (Qs.49-50) : Study the information carefully to
answer the questions.
Bala walked 25km towards west, took a left turn and walked 15km.
He again took a left turn and walked 30km. He then took a right
turn and stopped.
49. Now he was facing which direction ?
(a) West (b) East
(c) South (d) North
50. Instead of turning right at the end if he took left and walked
20km, what is the shortest distance to his starting point?
(a)
7 3
km (b)
5 2
km
(c)
2 7
km (d) 2 5 km
51. If in a certain code CRYSTAL is written as DTJSXFR then in
the same code how QUANTUM is written?
(a) WRDNXZS (b) RWDNYZS
(c) RWDNXZS (d) RWNDXZS
52. If in certain code MONKEY is written as ZFLOPN then in
the same code how CHARACTER is written?
(a) SFUDBSCID (b) SFUDBEBID
(c) SFUBIDDBS (d) SFUDBSBID
DIRECTIONS (Qs.53-57) : Study the following arrangement to
answer the given questions.
Y # O U 7 D $ V @ B E 8 © X 1 A C % P 2 4 Q I N 6 M * Z 5
53. If all the numbers are dropped from the above arrangement,
which of the following will be the ninth from the right end?
(a)A (b) C
(c)X (d) Y
54. Which of the following will be the sixth to the left of the
fourteenth from the left end of the above arrangement?
(a)Y (b) O
(c)U (d) V
55. Which of the following is the fifth to the right of the thirteenth
to the left of Q in the given arrangement?
(a)X (b) @
(c)U (d) *
56. How many such vowels are there in the above arrangement,
each of which is immediately preceded by a consonant and
immediately followed by a number?
(a) None (b) One
(c) Two (d) Three
57. How many such symbols are there in the above arrangement,
each of which is immediately preceded and also immediately
followed by a consonant?
(a) One (b) Two
(c) Three (d) Four
58. Which of the following diagrams indicates the best
relationship between Teacher, Writer and Musician?
(a) (b)
(b) (d)
DIRECTIONS (Qs. 59-62): Find the missing number (?) from
the given options.
59. 5, 11, 21, 43, 85, ?
(a) 1 85 (b) 1 70
(c) 1 71 (d) 1 81
60. ADGJ, YVSP , KNQT, ?
(a) SVZB (b) QTWZ
(c) OLIF (d) L OR U
61. 12, 27, 85, 345, ?
(a) 1737 (b) 1380
(c) 1725 (d) 1731
62. Some equations are solved on the basis of a certain system.
Find the correct answer for the unsolved equation on that
basis.
5 × 8 = 28, 3 × 7 = 12, 8 × 6 = 35, 13 × 13 = ?
        (a) 169 (b) 130
(c) 1 40 (d) 144
DIRECTIONS (Qs. 63-65): From the given options choose the
missing number.
63. 4 79
868
3 79
35 49 ?
( a) 63 (b) 8 9
(c) 81 (d) 6 4
64. 768
5 49
3 21
83 56 ?
(a) 146 (b) 128
(c) 136 (d) 148
65.
15 225 30
7 70 20
3?8
(a) 70 (b) 12
(c) 16 (d) 24
66. Identify the figure that completes the pattern of the
question figure?
Question figure
 
          Answer figure
(a) (b)
(c) (d)
67. Five bells begin to ring together and ring respectively at
intervals of 6, 5, 7, 10 and12 seconds. How many times will
they ring together in one hour excluding the one at the start ?
(a) 7 times (b) 8 times
(c) 9 times (d) 11 times
68. Find out which of the answer figures among (a), (b), (c) and
(d) can be formed from the pieces given in the question figure.
Question Figure
Answer Figures
(a) (b)
(c) (d)
69. Count the number of triangles and squares in the given
figure.
(a) 21 triangles, 7 squares (b) 18 triangles, 8 squares
 (c) 20 triangles, 8 squares (d) 22 triangles, 7 squares
DIRECTIONS (Qs. 70-71): Each of these questions are based
on the information given below.
P ,Q,R,S,W ,X,Y ,Z are sitting around a circle facing centre but not
necessarily in the same order. The husband of Z is sitting
second to the right of Q who is sitting between two males. X
sits second to the left of the daughter of S. X is the sister of
Y. X is not an immediate neighbour of Z's husband. Only one
person sits between P and X. P is the father of Y. S, who is
brother of Z sits to the immediate left of his mother. Only one
person sits between Z's mother and W. Only one person sits
immediate Z and Y . Y is the mother of R. Y is not an immediate
neighbour of W.
70. Which of the following is true with respect to the given
seating arrangement?
(a) R is the cousin of W.
(b) Q is the mother of Z.
(c) Z sits third to the left of her daughter.
(d) No female is an immediate neighbour of R.
71. What is the position of P with respect to his grandchild?
(a) Immediate right (b) Third to the right
(c) Third to the left (d) Fourth to the right
72. India's baffling array of state and national labor laws date
to the 1940s: one provides for the type and number of
spittoons in a factory. Another says an enterprise with more
than 100 workers needs government permission to scale
back or close. Many Indian businesses stay small in order
to remain beyond the reach of the laws. Big firms use
temporary workers to avoid them. Less than 15% of Indian
workers have legal job security. The new government can
sidestep the difficult politics of curbing privileges by
establishing a new, simpler labor contract that gives basic
protection to workers but makes lay-offs less costly to
firms. It would apply only to new hires; the small proportion
of existing workers with gold-star protections would keep
them.
Which of the following options best summarizes the main
idea of the paragraph?
(a) More Indian workers can get permanent jobs and legal
job security if existing labor laws are reformed.
(b) Effective labor law reform can encourage many Indian
businesses to grow to more than 100 workers.
(c) Outdated Indian labor laws need to be simplified to
provide basic protection to workers and curb privileges.
(d) The difficult politics of curbing privileges can be
avoided if the changes in the labor law only apply to
the new hires.
73. Data on planes returning from bombing missions was used
to study of the vulnerability of airplanes to enemy fire.
Analyzing the pattern and frequency of hits from enemy
gunfire, it was seen that some parts of planes were hit
disproportionately more often than other parts. How could
these planes be optimally reinforced with armor plating?
There were tradeoffs to consider. Every addition of plating
added to the weight of the plane, decreasing its performance.
Therefore, reinforcements needed to be added only to the
most vulnerable areas of the planes.