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Page 1
Directions (1-6): Read the following line graph carefully and answer the questions given below.
The line graph shows the total population (males + females) in four different cities in two
different years.
Q1. The ratio of total males to total females in city A in 2023 is 3:5, respectively. The total number
of females in city A in 2024 is twice that in 2023. Find the difference between the total males in
city A in 2023 and 2024.
(a) 300
(b) 225
(c) 150
(d) 175
(e) 250
Q2. The total population in city E in 2023 is 20% more than the total population in city B in 2023.
If the total population in city E in 2023 and 2024 together is 1080, then find the total population
in city E in 2024.
(a) 670
(b) 610
(c) 650
(d) 620
(e) 660
0
100
200
300
400
500
600
700
800
900
A B C D
2023 2024
Page 2
Directions (1-6): Read the following line graph carefully and answer the questions given below.
The line graph shows the total population (males + females) in four different cities in two
different years.
Q1. The ratio of total males to total females in city A in 2023 is 3:5, respectively. The total number
of females in city A in 2024 is twice that in 2023. Find the difference between the total males in
city A in 2023 and 2024.
(a) 300
(b) 225
(c) 150
(d) 175
(e) 250
Q2. The total population in city E in 2023 is 20% more than the total population in city B in 2023.
If the total population in city E in 2023 and 2024 together is 1080, then find the total population
in city E in 2024.
(a) 670
(b) 610
(c) 650
(d) 620
(e) 660
0
100
200
300
400
500
600
700
800
900
A B C D
2023 2024
Q3. The total population in city B in 2022 is 10% less than the average of the total population in
cities C and A in 2024. Find the ratio of the total population in city B in 2022 to the total
population in city D in 2023.
(a) 9:17
(b) 11:12
(c) 13: 8
(d) 7:11
(e) 9:19
Q4. The total males in city D in 2023 is 60% of the total population in city B in 2024. The total
number of males in city D in 2024 is half of the total number of males in city D in 2023. Find the
total number of females in city D in 2023 and 2024 together.
(a) 540
(b) 550
(c) 520
(d) 510
(e) 530
Q5. The total population in city C in 2020 is 75% of the total population in city A in 2023. If 30%
of the total population in city C in 2020 are males and the rest are females, then the total number
of females in city C in 2020 is what percentage of the total population in city D in 2024?
(a) 20%
(b) 30%
(c) 35%
(d) 25%
(e) 10%
Q6. 11/17th of the total population in city D in 2023 are literate, and 3/5th of the total
population in city B in 2023 are illiterate. Find the difference between the total literate
population in cities B and D together in 2023 and the total illiterate population in cities B and D
together in 2023.
(a) 180
(b) 190
(c) 120
(d) 140
(e) 150
Directions (7-10): Read the following information carefully and answer the questions given
below. The information about the total number of students (boys and girls) in three (A, B and C)
colleges.
The total number of students in all three colleges together is 290. The number of boys in A is 75% of the
number of girls in B. The number of girls in C is 2.2 times more than the total number of boys in C. The
number of girls in A is 5 more than the number of girls in B. The number of girls in C is twice the number
of girls in B. The number of boys in B is 25 more than the number of girls in A.
Page 3
Directions (1-6): Read the following line graph carefully and answer the questions given below.
The line graph shows the total population (males + females) in four different cities in two
different years.
Q1. The ratio of total males to total females in city A in 2023 is 3:5, respectively. The total number
of females in city A in 2024 is twice that in 2023. Find the difference between the total males in
city A in 2023 and 2024.
(a) 300
(b) 225
(c) 150
(d) 175
(e) 250
Q2. The total population in city E in 2023 is 20% more than the total population in city B in 2023.
If the total population in city E in 2023 and 2024 together is 1080, then find the total population
in city E in 2024.
(a) 670
(b) 610
(c) 650
(d) 620
(e) 660
0
100
200
300
400
500
600
700
800
900
A B C D
2023 2024
Q3. The total population in city B in 2022 is 10% less than the average of the total population in
cities C and A in 2024. Find the ratio of the total population in city B in 2022 to the total
population in city D in 2023.
(a) 9:17
(b) 11:12
(c) 13: 8
(d) 7:11
(e) 9:19
Q4. The total males in city D in 2023 is 60% of the total population in city B in 2024. The total
number of males in city D in 2024 is half of the total number of males in city D in 2023. Find the
total number of females in city D in 2023 and 2024 together.
(a) 540
(b) 550
(c) 520
(d) 510
(e) 530
Q5. The total population in city C in 2020 is 75% of the total population in city A in 2023. If 30%
of the total population in city C in 2020 are males and the rest are females, then the total number
of females in city C in 2020 is what percentage of the total population in city D in 2024?
(a) 20%
(b) 30%
(c) 35%
(d) 25%
(e) 10%
Q6. 11/17th of the total population in city D in 2023 are literate, and 3/5th of the total
population in city B in 2023 are illiterate. Find the difference between the total literate
population in cities B and D together in 2023 and the total illiterate population in cities B and D
together in 2023.
(a) 180
(b) 190
(c) 120
(d) 140
(e) 150
Directions (7-10): Read the following information carefully and answer the questions given
below. The information about the total number of students (boys and girls) in three (A, B and C)
colleges.
The total number of students in all three colleges together is 290. The number of boys in A is 75% of the
number of girls in B. The number of girls in C is 2.2 times more than the total number of boys in C. The
number of girls in A is 5 more than the number of girls in B. The number of girls in C is twice the number
of girls in B. The number of boys in B is 25 more than the number of girls in A.
Q7. Find the difference between the total number of boys in A
and B together and the total number of girls in B and C
together.
(a) 30
(b) 25
(c) 5
(d) 10
(e) 20
Q8. The total number of boys in A is what percentage of the
total number of students in C?
(a) 6.67%
(b) 14.28%
(c) 33.33%
(d) 28.57%
(e) 83.63%
Q9. Find the ratio of the total number of girls in A to the total number of boys in C.
(a) 9:5
(b) 10:9
(c) 9:4
(d) 4:5
(e) 7:12
Q10. The total number of students in D is 20% more than that of A, and the ratio of boys in C to
D is 5:7, respectively. Find the total number of girls in D.
(a) 40
(b) 55
(c) 60
(d) 65
(e) 45
Q11. The ratio of milk to water in Jar A is 8:7, respectively. In Jar B, the ratio of milk to water is
5:8, respectively, and the water in Jar B is 3 liters less than the water in Jar A. After mixing both
jars in empty jar C, the milk in the new mixture (in jar C) is 7 liters less than the water. What is
the quantity of water in the jar C (in liters)?
(a) 43
(b) 67
(c) 54
(d) 49
(e) 72
Page 4
Directions (1-6): Read the following line graph carefully and answer the questions given below.
The line graph shows the total population (males + females) in four different cities in two
different years.
Q1. The ratio of total males to total females in city A in 2023 is 3:5, respectively. The total number
of females in city A in 2024 is twice that in 2023. Find the difference between the total males in
city A in 2023 and 2024.
(a) 300
(b) 225
(c) 150
(d) 175
(e) 250
Q2. The total population in city E in 2023 is 20% more than the total population in city B in 2023.
If the total population in city E in 2023 and 2024 together is 1080, then find the total population
in city E in 2024.
(a) 670
(b) 610
(c) 650
(d) 620
(e) 660
0
100
200
300
400
500
600
700
800
900
A B C D
2023 2024
Q3. The total population in city B in 2022 is 10% less than the average of the total population in
cities C and A in 2024. Find the ratio of the total population in city B in 2022 to the total
population in city D in 2023.
(a) 9:17
(b) 11:12
(c) 13: 8
(d) 7:11
(e) 9:19
Q4. The total males in city D in 2023 is 60% of the total population in city B in 2024. The total
number of males in city D in 2024 is half of the total number of males in city D in 2023. Find the
total number of females in city D in 2023 and 2024 together.
(a) 540
(b) 550
(c) 520
(d) 510
(e) 530
Q5. The total population in city C in 2020 is 75% of the total population in city A in 2023. If 30%
of the total population in city C in 2020 are males and the rest are females, then the total number
of females in city C in 2020 is what percentage of the total population in city D in 2024?
(a) 20%
(b) 30%
(c) 35%
(d) 25%
(e) 10%
Q6. 11/17th of the total population in city D in 2023 are literate, and 3/5th of the total
population in city B in 2023 are illiterate. Find the difference between the total literate
population in cities B and D together in 2023 and the total illiterate population in cities B and D
together in 2023.
(a) 180
(b) 190
(c) 120
(d) 140
(e) 150
Directions (7-10): Read the following information carefully and answer the questions given
below. The information about the total number of students (boys and girls) in three (A, B and C)
colleges.
The total number of students in all three colleges together is 290. The number of boys in A is 75% of the
number of girls in B. The number of girls in C is 2.2 times more than the total number of boys in C. The
number of girls in A is 5 more than the number of girls in B. The number of girls in C is twice the number
of girls in B. The number of boys in B is 25 more than the number of girls in A.
Q7. Find the difference between the total number of boys in A
and B together and the total number of girls in B and C
together.
(a) 30
(b) 25
(c) 5
(d) 10
(e) 20
Q8. The total number of boys in A is what percentage of the
total number of students in C?
(a) 6.67%
(b) 14.28%
(c) 33.33%
(d) 28.57%
(e) 83.63%
Q9. Find the ratio of the total number of girls in A to the total number of boys in C.
(a) 9:5
(b) 10:9
(c) 9:4
(d) 4:5
(e) 7:12
Q10. The total number of students in D is 20% more than that of A, and the ratio of boys in C to
D is 5:7, respectively. Find the total number of girls in D.
(a) 40
(b) 55
(c) 60
(d) 65
(e) 45
Q11. The ratio of milk to water in Jar A is 8:7, respectively. In Jar B, the ratio of milk to water is
5:8, respectively, and the water in Jar B is 3 liters less than the water in Jar A. After mixing both
jars in empty jar C, the milk in the new mixture (in jar C) is 7 liters less than the water. What is
the quantity of water in the jar C (in liters)?
(a) 43
(b) 67
(c) 54
(d) 49
(e) 72
Q12. I. 6x² – 17x + 10 = 0
II. 5y² – 28y + 15 = 0
(a) if x>y
(b) if x=y
(c) if x<y
(d) if x =y
(e) if x = y or no relation can be established between x and y.
Q13. I. 3x² - 5x - 2 = 0
II. 10y² + 7y = –1
(a) if x>y
(b) if x=y
(c) if x<y
(d) if x =y
(e) if x = y or no relation can be established between x and y.
Q14. I. 6x² – 40x + 66 = 0
II. 14y² – 58y + 60 = 0
(a) x < y
(b) x > y
(c) x = y
(d) x = y
(e) x=y or no relation
Directions (15-18): What approximate value will come in place of question mark (?) in the
following questions? (You are not expected to calculate the exact value)
Q.15. 34.971% ???? 80.13 × 20.03% ???? 250.01 - 423.87 = ? +51.991 × 8.13
(a) 580
(b) 550
(c) 570
(d) 560
(e) 590
Q16. 45.0112÷ 64.992 × 312.211+ 361.11 = ? ² + 11.09 × 32.13
(a) 15
(b) 45
(c) 35
(d) 55
(e) 25
Q17. ? % ???? (1131 .145 - 501.923 - 241.02 - 187.79) = 59.99456
(a) 30
(b) 50
(c) 40
(d) 60
(e) 70
Page 5
Directions (1-6): Read the following line graph carefully and answer the questions given below.
The line graph shows the total population (males + females) in four different cities in two
different years.
Q1. The ratio of total males to total females in city A in 2023 is 3:5, respectively. The total number
of females in city A in 2024 is twice that in 2023. Find the difference between the total males in
city A in 2023 and 2024.
(a) 300
(b) 225
(c) 150
(d) 175
(e) 250
Q2. The total population in city E in 2023 is 20% more than the total population in city B in 2023.
If the total population in city E in 2023 and 2024 together is 1080, then find the total population
in city E in 2024.
(a) 670
(b) 610
(c) 650
(d) 620
(e) 660
0
100
200
300
400
500
600
700
800
900
A B C D
2023 2024
Q3. The total population in city B in 2022 is 10% less than the average of the total population in
cities C and A in 2024. Find the ratio of the total population in city B in 2022 to the total
population in city D in 2023.
(a) 9:17
(b) 11:12
(c) 13: 8
(d) 7:11
(e) 9:19
Q4. The total males in city D in 2023 is 60% of the total population in city B in 2024. The total
number of males in city D in 2024 is half of the total number of males in city D in 2023. Find the
total number of females in city D in 2023 and 2024 together.
(a) 540
(b) 550
(c) 520
(d) 510
(e) 530
Q5. The total population in city C in 2020 is 75% of the total population in city A in 2023. If 30%
of the total population in city C in 2020 are males and the rest are females, then the total number
of females in city C in 2020 is what percentage of the total population in city D in 2024?
(a) 20%
(b) 30%
(c) 35%
(d) 25%
(e) 10%
Q6. 11/17th of the total population in city D in 2023 are literate, and 3/5th of the total
population in city B in 2023 are illiterate. Find the difference between the total literate
population in cities B and D together in 2023 and the total illiterate population in cities B and D
together in 2023.
(a) 180
(b) 190
(c) 120
(d) 140
(e) 150
Directions (7-10): Read the following information carefully and answer the questions given
below. The information about the total number of students (boys and girls) in three (A, B and C)
colleges.
The total number of students in all three colleges together is 290. The number of boys in A is 75% of the
number of girls in B. The number of girls in C is 2.2 times more than the total number of boys in C. The
number of girls in A is 5 more than the number of girls in B. The number of girls in C is twice the number
of girls in B. The number of boys in B is 25 more than the number of girls in A.
Q7. Find the difference between the total number of boys in A
and B together and the total number of girls in B and C
together.
(a) 30
(b) 25
(c) 5
(d) 10
(e) 20
Q8. The total number of boys in A is what percentage of the
total number of students in C?
(a) 6.67%
(b) 14.28%
(c) 33.33%
(d) 28.57%
(e) 83.63%
Q9. Find the ratio of the total number of girls in A to the total number of boys in C.
(a) 9:5
(b) 10:9
(c) 9:4
(d) 4:5
(e) 7:12
Q10. The total number of students in D is 20% more than that of A, and the ratio of boys in C to
D is 5:7, respectively. Find the total number of girls in D.
(a) 40
(b) 55
(c) 60
(d) 65
(e) 45
Q11. The ratio of milk to water in Jar A is 8:7, respectively. In Jar B, the ratio of milk to water is
5:8, respectively, and the water in Jar B is 3 liters less than the water in Jar A. After mixing both
jars in empty jar C, the milk in the new mixture (in jar C) is 7 liters less than the water. What is
the quantity of water in the jar C (in liters)?
(a) 43
(b) 67
(c) 54
(d) 49
(e) 72
Q12. I. 6x² – 17x + 10 = 0
II. 5y² – 28y + 15 = 0
(a) if x>y
(b) if x=y
(c) if x<y
(d) if x =y
(e) if x = y or no relation can be established between x and y.
Q13. I. 3x² - 5x - 2 = 0
II. 10y² + 7y = –1
(a) if x>y
(b) if x=y
(c) if x<y
(d) if x =y
(e) if x = y or no relation can be established between x and y.
Q14. I. 6x² – 40x + 66 = 0
II. 14y² – 58y + 60 = 0
(a) x < y
(b) x > y
(c) x = y
(d) x = y
(e) x=y or no relation
Directions (15-18): What approximate value will come in place of question mark (?) in the
following questions? (You are not expected to calculate the exact value)
Q.15. 34.971% ???? 80.13 × 20.03% ???? 250.01 - 423.87 = ? +51.991 × 8.13
(a) 580
(b) 550
(c) 570
(d) 560
(e) 590
Q16. 45.0112÷ 64.992 × 312.211+ 361.11 = ? ² + 11.09 × 32.13
(a) 15
(b) 45
(c) 35
(d) 55
(e) 25
Q17. ? % ???? (1131 .145 - 501.923 - 241.02 - 187.79) = 59.99456
(a) 30
(b) 50
(c) 40
(d) 60
(e) 70
Q18. (? -554.09) - 50.045% ???? (
6450.01
42.91
) = 35.79 × 41.12 ÷ 369.03
(a) 647
(b) 537
(c) 679
(d) 511
(e) None of the above.
Directions (19-24): Read the bar graph carefully and answer the following questions.
The bar graph shows the average number of students in school A and B visiting on five days.
Note: On Monday, students visiting from B is 16 more than A.
Ratio of students visiting school on Monday to Friday from B is 10:3:5:4:6.
Q19. On Monday, the ratio of boy to girls visiting from A is 6:5, and boys visiting from B on Friday
is equal to girl visiting from A on Monday. Find the girls visiting from B on Friday is what
percentage of students visiting from A on Wednesday.
(a) 13.33%
(b) 12.04%
(c) 11.01%
(d)14.44%
(e) 15.55%
Q20. In school C total students are 20% more than average number of students visiting from B
on Monday, Thursday and Friday. The ratio of students in C to D is 3:5. Find the total students in
D.
(a) 90
(b) 100
(c) 110
(d) 80
(e) 120
0
10
20
30
40
50
60
70
Monday Tuesday Wednesday Thursday Friday
Average number of students in A and B
Average number of students in A and B
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