Page 1
NUM ERICAL AB ILITY
1 . In an examination, a student was asked to find
3
14
of a certain
number. By mistake, he found
3
4
of it. His answer was 150
more than the correct answer. Find the number.
(a) 1 80 (b) 2 80
(c) 3 80 (d) 4 80
2.
5 6 83 31 7
? 1 32
67 9 54 3 9
¸´ - ¸ +´ =
(a)
7
6
(b)
6
7
(c)1 (d) None of these
3. The whole number which is a multiple of every number is
(a)0
(b) 1
(c) There is no such number
(d) None of these
4. Highest common factor of 42 and 162 is ___.
(a)6 (b) 4
(c) 12 (d) 2
5 . The ratio betw een two numb ers is 3 : 4. If each numb er is increased
by 6 the ratio becomes 4 : 5. The diff erence betw een the numbers is
(a)1 (b) 3
(c)6 (d) 8
6. The population of a town is 145530. If it increases at the rate
of 5% per annum, what was it 2 yr ago?
(a) 132000 (b) 142000
(c) 136000 (d) 139000
7. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr).
( a) 25 (b) 7 0
(c) 90 (d) 8 0
8. Marshall, Randy and Roger have some coins. Marshall’s 5
times coin is equal with Randy’s 8 times coin. Marshall’s 8
times coin is equal with Roger’s 5 times coin. Find the
minimum coin the three have in total.
( a) 21 (b) 1 29
(c) 90 (d) None of these
9. A seller says he sells goods at 10% loss , but he actually
uses the wrong measuring scale and gains 15%.what is the
length of a meter scale?
(a) 0.7628 (b) 0.6728
(c) 0.8762 (d) 0.7826
10. Someone borrowed 7000 at some interest rate for 3 years
and after 3 years he again borrowed 3000 with same rate . If
he end up giving simple interest of 4615 after 8 years then
what was his interest rate?
(a) 6.5% (b) 7.2%
(c) 7.8% (d) None of these
11. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ?
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
12. A man earns a commission at 10%. When he sells product
of value more than 20k, he earns bonus of extra 5% on the
excess of sales above 20000, if he earned 2600 total
commission, find bonus amount?
(a) 4 00 (b) 2 00
(c) 6 00 (d) 8 00
13. Alok’s office is 100 km from his home. Once he started late
from his home by 1 hour. He increased his speed by 5kph
and reached office on time, find his changed speed.
(a) 18 kmph (b) 20 kmph
(c) 24 kmph (d) None of these
14. A man daily goes to temple which is 4km away from his
home at a speed of 4kph. Once he decided to take his dog
with him . The dog reached the temple and returned back to
his owner then turn back again and ran towards temple, this
goes on and on. Find the distance covered by dog in the
direction of temple if the speed of dog is 8kph.
(a) 5.5 km (b) 6 km
(c) 6.5 km (d) None of these
15. A train has 7 compartments and two compartments have
not same number of passengers. Average number of
passengers is 15. And no compartment has number of
passengers more than the average number of passenger.
except compartments 7th. Find the least number of
passengers in 7th compartment.
(a) 30 (b) 3 2
(c) 35 (d) None of these
Instructions for candidates TIME ALLOTTED – 2 HRS.
1. Total No. of Questions–100. Each Question is of three marks.
2. One mark will be deducted for every wrong answer.
3. Do not write or mark on the Question Paper.
4. Question Paper to be returned before leaving the Exam Hall.
AIR FORCE COMMON ADMISSION TEST (AFCAT) II/2019
Page 2
NUM ERICAL AB ILITY
1 . In an examination, a student was asked to find
3
14
of a certain
number. By mistake, he found
3
4
of it. His answer was 150
more than the correct answer. Find the number.
(a) 1 80 (b) 2 80
(c) 3 80 (d) 4 80
2.
5 6 83 31 7
? 1 32
67 9 54 3 9
¸´ - ¸ +´ =
(a)
7
6
(b)
6
7
(c)1 (d) None of these
3. The whole number which is a multiple of every number is
(a)0
(b) 1
(c) There is no such number
(d) None of these
4. Highest common factor of 42 and 162 is ___.
(a)6 (b) 4
(c) 12 (d) 2
5 . The ratio betw een two numb ers is 3 : 4. If each numb er is increased
by 6 the ratio becomes 4 : 5. The diff erence betw een the numbers is
(a)1 (b) 3
(c)6 (d) 8
6. The population of a town is 145530. If it increases at the rate
of 5% per annum, what was it 2 yr ago?
(a) 132000 (b) 142000
(c) 136000 (d) 139000
7. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr).
( a) 25 (b) 7 0
(c) 90 (d) 8 0
8. Marshall, Randy and Roger have some coins. Marshall’s 5
times coin is equal with Randy’s 8 times coin. Marshall’s 8
times coin is equal with Roger’s 5 times coin. Find the
minimum coin the three have in total.
( a) 21 (b) 1 29
(c) 90 (d) None of these
9. A seller says he sells goods at 10% loss , but he actually
uses the wrong measuring scale and gains 15%.what is the
length of a meter scale?
(a) 0.7628 (b) 0.6728
(c) 0.8762 (d) 0.7826
10. Someone borrowed 7000 at some interest rate for 3 years
and after 3 years he again borrowed 3000 with same rate . If
he end up giving simple interest of 4615 after 8 years then
what was his interest rate?
(a) 6.5% (b) 7.2%
(c) 7.8% (d) None of these
11. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ?
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
12. A man earns a commission at 10%. When he sells product
of value more than 20k, he earns bonus of extra 5% on the
excess of sales above 20000, if he earned 2600 total
commission, find bonus amount?
(a) 4 00 (b) 2 00
(c) 6 00 (d) 8 00
13. Alok’s office is 100 km from his home. Once he started late
from his home by 1 hour. He increased his speed by 5kph
and reached office on time, find his changed speed.
(a) 18 kmph (b) 20 kmph
(c) 24 kmph (d) None of these
14. A man daily goes to temple which is 4km away from his
home at a speed of 4kph. Once he decided to take his dog
with him . The dog reached the temple and returned back to
his owner then turn back again and ran towards temple, this
goes on and on. Find the distance covered by dog in the
direction of temple if the speed of dog is 8kph.
(a) 5.5 km (b) 6 km
(c) 6.5 km (d) None of these
15. A train has 7 compartments and two compartments have
not same number of passengers. Average number of
passengers is 15. And no compartment has number of
passengers more than the average number of passenger.
except compartments 7th. Find the least number of
passengers in 7th compartment.
(a) 30 (b) 3 2
(c) 35 (d) None of these
Instructions for candidates TIME ALLOTTED – 2 HRS.
1. Total No. of Questions–100. Each Question is of three marks.
2. One mark will be deducted for every wrong answer.
3. Do not write or mark on the Question Paper.
4. Question Paper to be returned before leaving the Exam Hall.
AIR FORCE COMMON ADMISSION TEST (AFCAT) II/2019
2019-II -2 Solved Paper 2019- II
16. A family consists of grandparents, parents and 4
grandchildren. If average age of grandparents is 67, average
age of parents is 35 and average age of grandchildren is 6,
then what is the average age of the family?
(a) 25 (b) 26
(c) 28 (d) 30
17. 6 boys and 3 men can do 5 times the work done by 1 man
and 1 boy in an hour. Calculate the ratio of work done by
men and boy?
(a) 2:1 (b) 1:2
(c) 2:3 (d) None of these
18. A can finish a work in 20 days. A works for 5 days and leave,
then B finish the remaining work in 10 days. How much time
will be required to do the work if both A and B work together?
(a) 7 days (b) 8 days
(c) 8.5 days (d) 9 days
19. If on P , R% rate per annum is compounded half yearly then
after an year we get an amount Q. If on P simple interest of
S! per annum if applied, we get amount Q. What is the relation
between R and S?
(a) S = R
R
1
400
æö
+
ç÷
èø
(b) S = R
R
1–
400
æö
ç÷
èø
(c) S = R
2
R
1
400
æö
+ ç÷
ç÷
èø
(d) None of these
20. If the cost of rice increases by 25 percent then expenditure
of family increase by 10 percent. If family was consuming
40kg rice before how much family is consuming now?
(a) 32.2 kg (b) 28.6 kg
(c) 35.2 kg (d) None of these
21. Two trains start towards each other at same time with speeds
50kmph and 60kmph, a bird perched first train and starting
from first train it went to second train and came back to first
train it went back to second train. The distance between
trains was 220km and speed of bird was 80kmph what is the
total distance travelled by bird?
(a) 16 0 km (b) 18 0 km
(c) 14 0 km (d) None of these
22. The age of captain of a cricket team is 30 yrs and
wicketkeeper is 1 year older. The average of the team
excluding captain and wicketkeeper is 1 less than the average
of the whole team. What is average of whole team?
(a) 25 (b) 2 6
(c) 30.5 (d) None of these
23. If a person rows a boat at the speed of 8kmph and the speed
of stream is 1.4 kmph then it takes 2 hrs to reach somewhere
and coming back. If he increased his speed by 25percent
how will time be affected?
(a) 21 % increase (b) 21 % decrease
(c) 18 % increase (d) None of these
24. A can do a job in 20 days. He works for 5 days and finishes
1/4 of the total work. Then B comes and finishes the
remaining work in 15 days. How many days A and B together
will take to finish the job?
(a) 17.5 days (b) 15 days
(c) 10 days (d) None of these
25. x
4
+ 4 is equal to:
(a) (x
2
+ 2) (x
2
– 2)
(b) (x
2
+ 2x + 2) (x
2
– 2x + 2)
(c) (x – 1) (x + 1) (x + 2) (x – 2)
(d) (x
2
+ 2)
2
REASONING AND MILIT AR Y APTITUDE TEST
DIRECTIONS (Qs. 26-28) : In the following four figures (a), (b),
(c) and (d) are given, three are similar in a certain manner.
However , one figure is not like the other three. Choose the figure
which is different from the rest.
26.
(a) (b) (c) (d)
27.
(a) (b) (c) (d)
28.
(a) (b) (c) (d)
DIRECTIONS (Qs. 29-31) : In questions 29 to 31 there is a
problem figure, a part of which is missing. Observe the answer
figures (a), (b), (c), (d) and find out the answer figure which
without changing the direction, fits in the missing part of the
problem figure in order to complete the pattern in the problem
figure.
29.
?
(a) (b)
(c) (d)
GP_4201
Page 3
NUM ERICAL AB ILITY
1 . In an examination, a student was asked to find
3
14
of a certain
number. By mistake, he found
3
4
of it. His answer was 150
more than the correct answer. Find the number.
(a) 1 80 (b) 2 80
(c) 3 80 (d) 4 80
2.
5 6 83 31 7
? 1 32
67 9 54 3 9
¸´ - ¸ +´ =
(a)
7
6
(b)
6
7
(c)1 (d) None of these
3. The whole number which is a multiple of every number is
(a)0
(b) 1
(c) There is no such number
(d) None of these
4. Highest common factor of 42 and 162 is ___.
(a)6 (b) 4
(c) 12 (d) 2
5 . The ratio betw een two numb ers is 3 : 4. If each numb er is increased
by 6 the ratio becomes 4 : 5. The diff erence betw een the numbers is
(a)1 (b) 3
(c)6 (d) 8
6. The population of a town is 145530. If it increases at the rate
of 5% per annum, what was it 2 yr ago?
(a) 132000 (b) 142000
(c) 136000 (d) 139000
7. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr).
( a) 25 (b) 7 0
(c) 90 (d) 8 0
8. Marshall, Randy and Roger have some coins. Marshall’s 5
times coin is equal with Randy’s 8 times coin. Marshall’s 8
times coin is equal with Roger’s 5 times coin. Find the
minimum coin the three have in total.
( a) 21 (b) 1 29
(c) 90 (d) None of these
9. A seller says he sells goods at 10% loss , but he actually
uses the wrong measuring scale and gains 15%.what is the
length of a meter scale?
(a) 0.7628 (b) 0.6728
(c) 0.8762 (d) 0.7826
10. Someone borrowed 7000 at some interest rate for 3 years
and after 3 years he again borrowed 3000 with same rate . If
he end up giving simple interest of 4615 after 8 years then
what was his interest rate?
(a) 6.5% (b) 7.2%
(c) 7.8% (d) None of these
11. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ?
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
12. A man earns a commission at 10%. When he sells product
of value more than 20k, he earns bonus of extra 5% on the
excess of sales above 20000, if he earned 2600 total
commission, find bonus amount?
(a) 4 00 (b) 2 00
(c) 6 00 (d) 8 00
13. Alok’s office is 100 km from his home. Once he started late
from his home by 1 hour. He increased his speed by 5kph
and reached office on time, find his changed speed.
(a) 18 kmph (b) 20 kmph
(c) 24 kmph (d) None of these
14. A man daily goes to temple which is 4km away from his
home at a speed of 4kph. Once he decided to take his dog
with him . The dog reached the temple and returned back to
his owner then turn back again and ran towards temple, this
goes on and on. Find the distance covered by dog in the
direction of temple if the speed of dog is 8kph.
(a) 5.5 km (b) 6 km
(c) 6.5 km (d) None of these
15. A train has 7 compartments and two compartments have
not same number of passengers. Average number of
passengers is 15. And no compartment has number of
passengers more than the average number of passenger.
except compartments 7th. Find the least number of
passengers in 7th compartment.
(a) 30 (b) 3 2
(c) 35 (d) None of these
Instructions for candidates TIME ALLOTTED – 2 HRS.
1. Total No. of Questions–100. Each Question is of three marks.
2. One mark will be deducted for every wrong answer.
3. Do not write or mark on the Question Paper.
4. Question Paper to be returned before leaving the Exam Hall.
AIR FORCE COMMON ADMISSION TEST (AFCAT) II/2019
2019-II -2 Solved Paper 2019- II
16. A family consists of grandparents, parents and 4
grandchildren. If average age of grandparents is 67, average
age of parents is 35 and average age of grandchildren is 6,
then what is the average age of the family?
(a) 25 (b) 26
(c) 28 (d) 30
17. 6 boys and 3 men can do 5 times the work done by 1 man
and 1 boy in an hour. Calculate the ratio of work done by
men and boy?
(a) 2:1 (b) 1:2
(c) 2:3 (d) None of these
18. A can finish a work in 20 days. A works for 5 days and leave,
then B finish the remaining work in 10 days. How much time
will be required to do the work if both A and B work together?
(a) 7 days (b) 8 days
(c) 8.5 days (d) 9 days
19. If on P , R% rate per annum is compounded half yearly then
after an year we get an amount Q. If on P simple interest of
S! per annum if applied, we get amount Q. What is the relation
between R and S?
(a) S = R
R
1
400
æö
+
ç÷
èø
(b) S = R
R
1–
400
æö
ç÷
èø
(c) S = R
2
R
1
400
æö
+ ç÷
ç÷
èø
(d) None of these
20. If the cost of rice increases by 25 percent then expenditure
of family increase by 10 percent. If family was consuming
40kg rice before how much family is consuming now?
(a) 32.2 kg (b) 28.6 kg
(c) 35.2 kg (d) None of these
21. Two trains start towards each other at same time with speeds
50kmph and 60kmph, a bird perched first train and starting
from first train it went to second train and came back to first
train it went back to second train. The distance between
trains was 220km and speed of bird was 80kmph what is the
total distance travelled by bird?
(a) 16 0 km (b) 18 0 km
(c) 14 0 km (d) None of these
22. The age of captain of a cricket team is 30 yrs and
wicketkeeper is 1 year older. The average of the team
excluding captain and wicketkeeper is 1 less than the average
of the whole team. What is average of whole team?
(a) 25 (b) 2 6
(c) 30.5 (d) None of these
23. If a person rows a boat at the speed of 8kmph and the speed
of stream is 1.4 kmph then it takes 2 hrs to reach somewhere
and coming back. If he increased his speed by 25percent
how will time be affected?
(a) 21 % increase (b) 21 % decrease
(c) 18 % increase (d) None of these
24. A can do a job in 20 days. He works for 5 days and finishes
1/4 of the total work. Then B comes and finishes the
remaining work in 15 days. How many days A and B together
will take to finish the job?
(a) 17.5 days (b) 15 days
(c) 10 days (d) None of these
25. x
4
+ 4 is equal to:
(a) (x
2
+ 2) (x
2
– 2)
(b) (x
2
+ 2x + 2) (x
2
– 2x + 2)
(c) (x – 1) (x + 1) (x + 2) (x – 2)
(d) (x
2
+ 2)
2
REASONING AND MILIT AR Y APTITUDE TEST
DIRECTIONS (Qs. 26-28) : In the following four figures (a), (b),
(c) and (d) are given, three are similar in a certain manner.
However , one figure is not like the other three. Choose the figure
which is different from the rest.
26.
(a) (b) (c) (d)
27.
(a) (b) (c) (d)
28.
(a) (b) (c) (d)
DIRECTIONS (Qs. 29-31) : In questions 29 to 31 there is a
problem figure, a part of which is missing. Observe the answer
figures (a), (b), (c), (d) and find out the answer figure which
without changing the direction, fits in the missing part of the
problem figure in order to complete the pattern in the problem
figure.
29.
?
(a) (b)
(c) (d)
GP_4201
Solved Paper 2019- II 2019-II -3
30.
?
(a) (b)
(c) (d)
31.
?
(a) (b)
(c) (d)
DIRECTIONS (Qs. 32-34) : Three complete and fourth blank
space is given, choose the set of figures which follows the rule
and would replace the blank space given in question figure from
the four alternatives given.
32. Question Figure
Answer Figures
(a) (b) (c) (d)
33. Question Figure
Answer Figures
(a) (b) (c) (d)
34. Question Figure
Answer Figures
(a) (b) (c) (d)
DIRECTIONS (Qs. 35-36) : There are two sets of figure given.
There is a definite relationship between first two. Establish a similar
relationship between third and fourth by selecting a suitable figure
from answer that would replace the question mark .
35. Question Figure
?
Answer Figures
(a) (b) (c) (d)
36. Question Figure
?
Answer Figures
(a) (b) (c) (d)
DIRECTIONS (Qs. 37-38) : There are three problem figures and
the space for the fourth figure is blank.The problem figures are
in a series. Find out one figure from among the answer figures,
which occupies the blank space for the fourth figure and
completes the series.
37.
?
(a) (b)
(c) (d)
Page 4
NUM ERICAL AB ILITY
1 . In an examination, a student was asked to find
3
14
of a certain
number. By mistake, he found
3
4
of it. His answer was 150
more than the correct answer. Find the number.
(a) 1 80 (b) 2 80
(c) 3 80 (d) 4 80
2.
5 6 83 31 7
? 1 32
67 9 54 3 9
¸´ - ¸ +´ =
(a)
7
6
(b)
6
7
(c)1 (d) None of these
3. The whole number which is a multiple of every number is
(a)0
(b) 1
(c) There is no such number
(d) None of these
4. Highest common factor of 42 and 162 is ___.
(a)6 (b) 4
(c) 12 (d) 2
5 . The ratio betw een two numb ers is 3 : 4. If each numb er is increased
by 6 the ratio becomes 4 : 5. The diff erence betw een the numbers is
(a)1 (b) 3
(c)6 (d) 8
6. The population of a town is 145530. If it increases at the rate
of 5% per annum, what was it 2 yr ago?
(a) 132000 (b) 142000
(c) 136000 (d) 139000
7. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr).
( a) 25 (b) 7 0
(c) 90 (d) 8 0
8. Marshall, Randy and Roger have some coins. Marshall’s 5
times coin is equal with Randy’s 8 times coin. Marshall’s 8
times coin is equal with Roger’s 5 times coin. Find the
minimum coin the three have in total.
( a) 21 (b) 1 29
(c) 90 (d) None of these
9. A seller says he sells goods at 10% loss , but he actually
uses the wrong measuring scale and gains 15%.what is the
length of a meter scale?
(a) 0.7628 (b) 0.6728
(c) 0.8762 (d) 0.7826
10. Someone borrowed 7000 at some interest rate for 3 years
and after 3 years he again borrowed 3000 with same rate . If
he end up giving simple interest of 4615 after 8 years then
what was his interest rate?
(a) 6.5% (b) 7.2%
(c) 7.8% (d) None of these
11. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ?
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
12. A man earns a commission at 10%. When he sells product
of value more than 20k, he earns bonus of extra 5% on the
excess of sales above 20000, if he earned 2600 total
commission, find bonus amount?
(a) 4 00 (b) 2 00
(c) 6 00 (d) 8 00
13. Alok’s office is 100 km from his home. Once he started late
from his home by 1 hour. He increased his speed by 5kph
and reached office on time, find his changed speed.
(a) 18 kmph (b) 20 kmph
(c) 24 kmph (d) None of these
14. A man daily goes to temple which is 4km away from his
home at a speed of 4kph. Once he decided to take his dog
with him . The dog reached the temple and returned back to
his owner then turn back again and ran towards temple, this
goes on and on. Find the distance covered by dog in the
direction of temple if the speed of dog is 8kph.
(a) 5.5 km (b) 6 km
(c) 6.5 km (d) None of these
15. A train has 7 compartments and two compartments have
not same number of passengers. Average number of
passengers is 15. And no compartment has number of
passengers more than the average number of passenger.
except compartments 7th. Find the least number of
passengers in 7th compartment.
(a) 30 (b) 3 2
(c) 35 (d) None of these
Instructions for candidates TIME ALLOTTED – 2 HRS.
1. Total No. of Questions–100. Each Question is of three marks.
2. One mark will be deducted for every wrong answer.
3. Do not write or mark on the Question Paper.
4. Question Paper to be returned before leaving the Exam Hall.
AIR FORCE COMMON ADMISSION TEST (AFCAT) II/2019
2019-II -2 Solved Paper 2019- II
16. A family consists of grandparents, parents and 4
grandchildren. If average age of grandparents is 67, average
age of parents is 35 and average age of grandchildren is 6,
then what is the average age of the family?
(a) 25 (b) 26
(c) 28 (d) 30
17. 6 boys and 3 men can do 5 times the work done by 1 man
and 1 boy in an hour. Calculate the ratio of work done by
men and boy?
(a) 2:1 (b) 1:2
(c) 2:3 (d) None of these
18. A can finish a work in 20 days. A works for 5 days and leave,
then B finish the remaining work in 10 days. How much time
will be required to do the work if both A and B work together?
(a) 7 days (b) 8 days
(c) 8.5 days (d) 9 days
19. If on P , R% rate per annum is compounded half yearly then
after an year we get an amount Q. If on P simple interest of
S! per annum if applied, we get amount Q. What is the relation
between R and S?
(a) S = R
R
1
400
æö
+
ç÷
èø
(b) S = R
R
1–
400
æö
ç÷
èø
(c) S = R
2
R
1
400
æö
+ ç÷
ç÷
èø
(d) None of these
20. If the cost of rice increases by 25 percent then expenditure
of family increase by 10 percent. If family was consuming
40kg rice before how much family is consuming now?
(a) 32.2 kg (b) 28.6 kg
(c) 35.2 kg (d) None of these
21. Two trains start towards each other at same time with speeds
50kmph and 60kmph, a bird perched first train and starting
from first train it went to second train and came back to first
train it went back to second train. The distance between
trains was 220km and speed of bird was 80kmph what is the
total distance travelled by bird?
(a) 16 0 km (b) 18 0 km
(c) 14 0 km (d) None of these
22. The age of captain of a cricket team is 30 yrs and
wicketkeeper is 1 year older. The average of the team
excluding captain and wicketkeeper is 1 less than the average
of the whole team. What is average of whole team?
(a) 25 (b) 2 6
(c) 30.5 (d) None of these
23. If a person rows a boat at the speed of 8kmph and the speed
of stream is 1.4 kmph then it takes 2 hrs to reach somewhere
and coming back. If he increased his speed by 25percent
how will time be affected?
(a) 21 % increase (b) 21 % decrease
(c) 18 % increase (d) None of these
24. A can do a job in 20 days. He works for 5 days and finishes
1/4 of the total work. Then B comes and finishes the
remaining work in 15 days. How many days A and B together
will take to finish the job?
(a) 17.5 days (b) 15 days
(c) 10 days (d) None of these
25. x
4
+ 4 is equal to:
(a) (x
2
+ 2) (x
2
– 2)
(b) (x
2
+ 2x + 2) (x
2
– 2x + 2)
(c) (x – 1) (x + 1) (x + 2) (x – 2)
(d) (x
2
+ 2)
2
REASONING AND MILIT AR Y APTITUDE TEST
DIRECTIONS (Qs. 26-28) : In the following four figures (a), (b),
(c) and (d) are given, three are similar in a certain manner.
However , one figure is not like the other three. Choose the figure
which is different from the rest.
26.
(a) (b) (c) (d)
27.
(a) (b) (c) (d)
28.
(a) (b) (c) (d)
DIRECTIONS (Qs. 29-31) : In questions 29 to 31 there is a
problem figure, a part of which is missing. Observe the answer
figures (a), (b), (c), (d) and find out the answer figure which
without changing the direction, fits in the missing part of the
problem figure in order to complete the pattern in the problem
figure.
29.
?
(a) (b)
(c) (d)
GP_4201
Solved Paper 2019- II 2019-II -3
30.
?
(a) (b)
(c) (d)
31.
?
(a) (b)
(c) (d)
DIRECTIONS (Qs. 32-34) : Three complete and fourth blank
space is given, choose the set of figures which follows the rule
and would replace the blank space given in question figure from
the four alternatives given.
32. Question Figure
Answer Figures
(a) (b) (c) (d)
33. Question Figure
Answer Figures
(a) (b) (c) (d)
34. Question Figure
Answer Figures
(a) (b) (c) (d)
DIRECTIONS (Qs. 35-36) : There are two sets of figure given.
There is a definite relationship between first two. Establish a similar
relationship between third and fourth by selecting a suitable figure
from answer that would replace the question mark .
35. Question Figure
?
Answer Figures
(a) (b) (c) (d)
36. Question Figure
?
Answer Figures
(a) (b) (c) (d)
DIRECTIONS (Qs. 37-38) : There are three problem figures and
the space for the fourth figure is blank.The problem figures are
in a series. Find out one figure from among the answer figures,
which occupies the blank space for the fourth figure and
completes the series.
37.
?
(a) (b)
(c) (d)
2019-II -4 Solved Paper 2019- II
38.
?
(a) (b)
(c) (d)
DIRECTIONS (Qs. 39-40) : a series is given, with one/two term
missing. Choose the correct alternative from the given ones that
will complete the series.
39. 14, 19, 29, 49, 89, ?
(a) 1 39 (b) 1 49
(c) 1 59 (d) 1 69
40. 5, 21, 69, 213, 645, ? .
(a) 1670 (b) 1941
(c) 720 (d) 1320
41. Nithya is Sam’s Sister. Mogan is Sam’s Father. Selvan is
Rajan’s Son. Rajan is Mogan’s Brother. How is Nithya related
to Selvan?
(a) Daughter (b) Sister
(c) Cousin (d) Wife
42. A boy running towards South, turns to his right and runs.
Then he turns to his right and finally turns to his left.
Towards which direction is he running now?
(a) East (b) West
(c) South (d) North
43. Roshan is taller than Hardik who is shorter than Susheel.
Niza is taller than Harry but shorter than Hardik. Susheel is
shorter than Roshan. Who is the tallest ?
(a) Roshan (b) Susheel
(c) Hardik (d) Harry
44. Priyank ranks 6
th
from the bottom and 28
th
from the top in a
class. How many students are there in the class?
(a) 31 (b) 32
(c) 33 (d) 34
45. Select the missing numbers from the given responses
43 25?
21 40 35
35 34 28
(a) 36 (b) 46 (c) 40 (d) 26
46. Which of the following diagrams represents the correct
relationship between Doctors, Specialist Doctors and
Patients?
(a) (b)
(c) (d)
47. In the given figure, how many are musical toys?
33 17
14 28
11 36
25
18
Toys
Electronic
Musical
(a) 53 (b) 6 1
(c) 42 (d) 4 5
48. In the given figure, how many players are quick and fat?
68
36
81
32
31
33
30
Players
Fat
Quick
(a) 31 (b) 30 (c) 32 (d) 33
DIRECTIONS (Qs. 49-52) : In each of the following questions,
select the related letter/word/ number from the given
alternatives.
49. Pituitary: brain :: thymus :?
(a) Throat (b) Chest
(c) Spinal cord (d) Larynx
50. Forecast : Future : : Regret : ?
(a) Present (b) Atone
(c) Past (d) Sins
51. Family : Home :: Colleagues : ?
(a) W ork (b) Office
(c) Building (d) Friends
52. INDIA : PEACOCK :: USA : ?
(a) Red Kite (b) Bald Eagle
(c) Mute swan (d) Robin
DIRECTIONS (Qs. 53-55) : Find the odd word/letters/number
pair/number from the given alternatives.
53. (a) Albatross (b) Ostrich
(c) Pelican (d) Penguin
54. (a) Internet Banking
(b) Mobile Banking
(c) Automated Teller Machine
(d) Personal Banking
55. (a) Cathedral (b) Mosque
(c) T emple (d) Monastery
ENGLISH LANGUAGE
DIRECTIONS (Qs. 56-58) : Choose the one which best expresses
the meaning of the given word.
56. Allegiance
(a) Loyalty (b) Violence
(c) Disloyalty (d) Treachery
57. Abash
(a) Dauntless (b) Ashamed
(c) Intrepid (d) Honest
58. Altruism
(a) Selfishness (b) Deceitful
(c) Selflessness (d) Scepticism
GP_4201
Page 5
NUM ERICAL AB ILITY
1 . In an examination, a student was asked to find
3
14
of a certain
number. By mistake, he found
3
4
of it. His answer was 150
more than the correct answer. Find the number.
(a) 1 80 (b) 2 80
(c) 3 80 (d) 4 80
2.
5 6 83 31 7
? 1 32
67 9 54 3 9
¸´ - ¸ +´ =
(a)
7
6
(b)
6
7
(c)1 (d) None of these
3. The whole number which is a multiple of every number is
(a)0
(b) 1
(c) There is no such number
(d) None of these
4. Highest common factor of 42 and 162 is ___.
(a)6 (b) 4
(c) 12 (d) 2
5 . The ratio betw een two numb ers is 3 : 4. If each numb er is increased
by 6 the ratio becomes 4 : 5. The diff erence betw een the numbers is
(a)1 (b) 3
(c)6 (d) 8
6. The population of a town is 145530. If it increases at the rate
of 5% per annum, what was it 2 yr ago?
(a) 132000 (b) 142000
(c) 136000 (d) 139000
7. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr).
( a) 25 (b) 7 0
(c) 90 (d) 8 0
8. Marshall, Randy and Roger have some coins. Marshall’s 5
times coin is equal with Randy’s 8 times coin. Marshall’s 8
times coin is equal with Roger’s 5 times coin. Find the
minimum coin the three have in total.
( a) 21 (b) 1 29
(c) 90 (d) None of these
9. A seller says he sells goods at 10% loss , but he actually
uses the wrong measuring scale and gains 15%.what is the
length of a meter scale?
(a) 0.7628 (b) 0.6728
(c) 0.8762 (d) 0.7826
10. Someone borrowed 7000 at some interest rate for 3 years
and after 3 years he again borrowed 3000 with same rate . If
he end up giving simple interest of 4615 after 8 years then
what was his interest rate?
(a) 6.5% (b) 7.2%
(c) 7.8% (d) None of these
11. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ?
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
12. A man earns a commission at 10%. When he sells product
of value more than 20k, he earns bonus of extra 5% on the
excess of sales above 20000, if he earned 2600 total
commission, find bonus amount?
(a) 4 00 (b) 2 00
(c) 6 00 (d) 8 00
13. Alok’s office is 100 km from his home. Once he started late
from his home by 1 hour. He increased his speed by 5kph
and reached office on time, find his changed speed.
(a) 18 kmph (b) 20 kmph
(c) 24 kmph (d) None of these
14. A man daily goes to temple which is 4km away from his
home at a speed of 4kph. Once he decided to take his dog
with him . The dog reached the temple and returned back to
his owner then turn back again and ran towards temple, this
goes on and on. Find the distance covered by dog in the
direction of temple if the speed of dog is 8kph.
(a) 5.5 km (b) 6 km
(c) 6.5 km (d) None of these
15. A train has 7 compartments and two compartments have
not same number of passengers. Average number of
passengers is 15. And no compartment has number of
passengers more than the average number of passenger.
except compartments 7th. Find the least number of
passengers in 7th compartment.
(a) 30 (b) 3 2
(c) 35 (d) None of these
Instructions for candidates TIME ALLOTTED – 2 HRS.
1. Total No. of Questions–100. Each Question is of three marks.
2. One mark will be deducted for every wrong answer.
3. Do not write or mark on the Question Paper.
4. Question Paper to be returned before leaving the Exam Hall.
AIR FORCE COMMON ADMISSION TEST (AFCAT) II/2019
2019-II -2 Solved Paper 2019- II
16. A family consists of grandparents, parents and 4
grandchildren. If average age of grandparents is 67, average
age of parents is 35 and average age of grandchildren is 6,
then what is the average age of the family?
(a) 25 (b) 26
(c) 28 (d) 30
17. 6 boys and 3 men can do 5 times the work done by 1 man
and 1 boy in an hour. Calculate the ratio of work done by
men and boy?
(a) 2:1 (b) 1:2
(c) 2:3 (d) None of these
18. A can finish a work in 20 days. A works for 5 days and leave,
then B finish the remaining work in 10 days. How much time
will be required to do the work if both A and B work together?
(a) 7 days (b) 8 days
(c) 8.5 days (d) 9 days
19. If on P , R% rate per annum is compounded half yearly then
after an year we get an amount Q. If on P simple interest of
S! per annum if applied, we get amount Q. What is the relation
between R and S?
(a) S = R
R
1
400
æö
+
ç÷
èø
(b) S = R
R
1–
400
æö
ç÷
èø
(c) S = R
2
R
1
400
æö
+ ç÷
ç÷
èø
(d) None of these
20. If the cost of rice increases by 25 percent then expenditure
of family increase by 10 percent. If family was consuming
40kg rice before how much family is consuming now?
(a) 32.2 kg (b) 28.6 kg
(c) 35.2 kg (d) None of these
21. Two trains start towards each other at same time with speeds
50kmph and 60kmph, a bird perched first train and starting
from first train it went to second train and came back to first
train it went back to second train. The distance between
trains was 220km and speed of bird was 80kmph what is the
total distance travelled by bird?
(a) 16 0 km (b) 18 0 km
(c) 14 0 km (d) None of these
22. The age of captain of a cricket team is 30 yrs and
wicketkeeper is 1 year older. The average of the team
excluding captain and wicketkeeper is 1 less than the average
of the whole team. What is average of whole team?
(a) 25 (b) 2 6
(c) 30.5 (d) None of these
23. If a person rows a boat at the speed of 8kmph and the speed
of stream is 1.4 kmph then it takes 2 hrs to reach somewhere
and coming back. If he increased his speed by 25percent
how will time be affected?
(a) 21 % increase (b) 21 % decrease
(c) 18 % increase (d) None of these
24. A can do a job in 20 days. He works for 5 days and finishes
1/4 of the total work. Then B comes and finishes the
remaining work in 15 days. How many days A and B together
will take to finish the job?
(a) 17.5 days (b) 15 days
(c) 10 days (d) None of these
25. x
4
+ 4 is equal to:
(a) (x
2
+ 2) (x
2
– 2)
(b) (x
2
+ 2x + 2) (x
2
– 2x + 2)
(c) (x – 1) (x + 1) (x + 2) (x – 2)
(d) (x
2
+ 2)
2
REASONING AND MILIT AR Y APTITUDE TEST
DIRECTIONS (Qs. 26-28) : In the following four figures (a), (b),
(c) and (d) are given, three are similar in a certain manner.
However , one figure is not like the other three. Choose the figure
which is different from the rest.
26.
(a) (b) (c) (d)
27.
(a) (b) (c) (d)
28.
(a) (b) (c) (d)
DIRECTIONS (Qs. 29-31) : In questions 29 to 31 there is a
problem figure, a part of which is missing. Observe the answer
figures (a), (b), (c), (d) and find out the answer figure which
without changing the direction, fits in the missing part of the
problem figure in order to complete the pattern in the problem
figure.
29.
?
(a) (b)
(c) (d)
GP_4201
Solved Paper 2019- II 2019-II -3
30.
?
(a) (b)
(c) (d)
31.
?
(a) (b)
(c) (d)
DIRECTIONS (Qs. 32-34) : Three complete and fourth blank
space is given, choose the set of figures which follows the rule
and would replace the blank space given in question figure from
the four alternatives given.
32. Question Figure
Answer Figures
(a) (b) (c) (d)
33. Question Figure
Answer Figures
(a) (b) (c) (d)
34. Question Figure
Answer Figures
(a) (b) (c) (d)
DIRECTIONS (Qs. 35-36) : There are two sets of figure given.
There is a definite relationship between first two. Establish a similar
relationship between third and fourth by selecting a suitable figure
from answer that would replace the question mark .
35. Question Figure
?
Answer Figures
(a) (b) (c) (d)
36. Question Figure
?
Answer Figures
(a) (b) (c) (d)
DIRECTIONS (Qs. 37-38) : There are three problem figures and
the space for the fourth figure is blank.The problem figures are
in a series. Find out one figure from among the answer figures,
which occupies the blank space for the fourth figure and
completes the series.
37.
?
(a) (b)
(c) (d)
2019-II -4 Solved Paper 2019- II
38.
?
(a) (b)
(c) (d)
DIRECTIONS (Qs. 39-40) : a series is given, with one/two term
missing. Choose the correct alternative from the given ones that
will complete the series.
39. 14, 19, 29, 49, 89, ?
(a) 1 39 (b) 1 49
(c) 1 59 (d) 1 69
40. 5, 21, 69, 213, 645, ? .
(a) 1670 (b) 1941
(c) 720 (d) 1320
41. Nithya is Sam’s Sister. Mogan is Sam’s Father. Selvan is
Rajan’s Son. Rajan is Mogan’s Brother. How is Nithya related
to Selvan?
(a) Daughter (b) Sister
(c) Cousin (d) Wife
42. A boy running towards South, turns to his right and runs.
Then he turns to his right and finally turns to his left.
Towards which direction is he running now?
(a) East (b) West
(c) South (d) North
43. Roshan is taller than Hardik who is shorter than Susheel.
Niza is taller than Harry but shorter than Hardik. Susheel is
shorter than Roshan. Who is the tallest ?
(a) Roshan (b) Susheel
(c) Hardik (d) Harry
44. Priyank ranks 6
th
from the bottom and 28
th
from the top in a
class. How many students are there in the class?
(a) 31 (b) 32
(c) 33 (d) 34
45. Select the missing numbers from the given responses
43 25?
21 40 35
35 34 28
(a) 36 (b) 46 (c) 40 (d) 26
46. Which of the following diagrams represents the correct
relationship between Doctors, Specialist Doctors and
Patients?
(a) (b)
(c) (d)
47. In the given figure, how many are musical toys?
33 17
14 28
11 36
25
18
Toys
Electronic
Musical
(a) 53 (b) 6 1
(c) 42 (d) 4 5
48. In the given figure, how many players are quick and fat?
68
36
81
32
31
33
30
Players
Fat
Quick
(a) 31 (b) 30 (c) 32 (d) 33
DIRECTIONS (Qs. 49-52) : In each of the following questions,
select the related letter/word/ number from the given
alternatives.
49. Pituitary: brain :: thymus :?
(a) Throat (b) Chest
(c) Spinal cord (d) Larynx
50. Forecast : Future : : Regret : ?
(a) Present (b) Atone
(c) Past (d) Sins
51. Family : Home :: Colleagues : ?
(a) W ork (b) Office
(c) Building (d) Friends
52. INDIA : PEACOCK :: USA : ?
(a) Red Kite (b) Bald Eagle
(c) Mute swan (d) Robin
DIRECTIONS (Qs. 53-55) : Find the odd word/letters/number
pair/number from the given alternatives.
53. (a) Albatross (b) Ostrich
(c) Pelican (d) Penguin
54. (a) Internet Banking
(b) Mobile Banking
(c) Automated Teller Machine
(d) Personal Banking
55. (a) Cathedral (b) Mosque
(c) T emple (d) Monastery
ENGLISH LANGUAGE
DIRECTIONS (Qs. 56-58) : Choose the one which best expresses
the meaning of the given word.
56. Allegiance
(a) Loyalty (b) Violence
(c) Disloyalty (d) Treachery
57. Abash
(a) Dauntless (b) Ashamed
(c) Intrepid (d) Honest
58. Altruism
(a) Selfishness (b) Deceitful
(c) Selflessness (d) Scepticism
GP_4201
Solved Paper 2019- II 2019-II -5
DIRECTIONS (Qs. 59-61) : In the following questions, choose
the word opposite in meaning to the given words.
59. Adroit
(a) Honest (b) Adept
(c) Gallant (d) Incompetent
60. Vague
(a) Clear (b) Faint
(c) Obscure (d) V ogue
6 1 . Frugal
(a) miserly (b) gluttonous
(c) plentiful (d) extravagant
DIRECTIONS (Qs. 62- 65) : In the following questions, four
alternatives are given for the Idiom/Phrase. Choose the
alternative which best expresses the meaning of the Idiom/
Phrase.
62. To bury the hatchet.
(a) To make peace with the enemy
(b) To throw soil over something
(c) To make someone cry
(d) To kill someone
63. Strain every nerve.
(a) To hurt someone
(b) To make the greatest possible effort
(c) To count every nerve
(d) To spread something everywhere
64. At the eleventh hour
(a) too late (b) too early
(c) immediately (d) at the last moment
65. To burn one’s fingers
(a) to get hurt physically
(b) to suffer financial losses
(c) to find work
(d) to suffer nervous breakdown
DIRECTIONS (Qs. 66-69) : In questions no 11 to 14 some parts
of the sentences have errors and some are correct. Find out
which part of a sentence has an error, If a sentence is free from
error, mark (d) in the answers.
66. Our country (A) / does not lack (B) / in scientists of quality .
(C) /No error (D).
(a)A (b) B
(c)C (d) D
67. It is feared that (A) / hundreds of people (B) / have lost
lives. (C) No error (D).
(a)A (b) B
(c)C (d) D
68. He is (A) / one of those students (B) / who comes late
regularly . (C) / No error (D).
(a)A (b) B
(c)C (d) D
69. This Child (A) / was run over (B) / with a private bus. (C) /
No error (D).
(a)A (b) B
(c)C (d) D
DIRECTIONS (Qs. 70-73) : In questions no. 15 to 18, sentences
are given with blanks to be filled in with an appropriate word
(S). Four alternatives are suggested for each question. Choose
the correct alternative out of the Four options.
70. After the treatment, he was relieved ___________ the pain
(a) For (b) Of
(c) From (d) With
71. Several items have been left____________ from the list
(a) Out (b) Within
(c) Behind (d) Off
72. I have not paid my school fees_________
(a) Already (b) Now
(c) Then (d) Y et
73. My father has _________ returned home from work.
(a) Now (b) Never
(c) Defense (d) Just
DIRECTIONS (Qs. 74-75): Read the following passage carefully
and answer the questions.
Plants need sunlight and water to make their own food. Y ou can
do an experiment to test if this is true. Place a bucket over a patch
of green grass. After a few days, lift the bucket. You will see that
the grass is not as green anymore. If you leave the bucket in
place for a week, the grass will become very dull. This happens
because the grass cannot make food in the dark. Remove the
bucket. In a few days, the grass will start turning green again.
74. What do plants need?
(a) Buckets are bad (b) Plants need sunlight
(c) Grass is not pretty (d) Plants needs air
75. What is the experiment?
(a) a way to grow grass (b) a way to test an idea
(c) a way to use a bucket (d) a way to use a sunlight
DIRECTIONS (Qs. 76-80) : Read the following passage carefully
and answer the questions.
The postal service is the government agency — (76) —- handles
the mail. Its job is — (77) — letters and packages to people and
businesses all over the world. Its goal is to see that your mail
gets to its destination — (78) — possible. People —- (79) —-the
postal service to deliver important letters and even valuables, —
(80) — time and to the right person.
76. (a) the fact that (b) whether
(c) of which (d) that
77. (a) being delivered (b) to be delivered
(c) to have delivered (d) to deliver
78. (a) less quickly
(b) too quickly
(c) so quickly that
(d) as quickly as
79. (a) back out (b) check out
(c) come in (d) rely on
80. (a) to (b) for
(c) at (d) on
GEN ERAL AW AREN ESS
81. How many total medals have been won by Micheal Phelps
in Olympic games?
(a) 28 (b) 2 6
(c) 24 (d) 3 2
82. Which dynasty established the Ajanta & Ellora caves?
(a) Khilji dynasty (b) Shung dynasty
(c) Hindu satvahan dynasty(d) Tughlaq dynasty
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