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Data Interpretation and Data Sufficiency
Data Interpretation
The table shows the number of people buying mobile phones (in thousands) from 2010-2014 in
two metropolitan cities.
Year Nokia Samsung Sony Mi Local Indian
brands
2010 51 46 40 8 25
2011 54 48 40 12 26
2012 50 58 38 18 26
2013 40 60 40 40 20
2014 30 60 42 60 18
1. The percentage of people buying Samsung is highest for which year?
a) 2011 b) 2012 c) 2013 d) 2014
2. The difference between the percentage share of Nokia in 2010 and 2014 is?
a) 15.72 b) 14.28 c) 30 d) 14.72
3. The percentage increase of people buying Mi phones is highest for which year when compared
to the previous year?
a) 2011 b) 2012 c) 2013 d) 2014
4. The average no. of phones sold of Local Indian Brands in thousands from 2010 to 2014 is
a) 20 b) 21 c) 22 d) 23
TOTAL STUDENTS: 8550 TOTAL PASSED: 5700
5. What is the ratio of no. of candidates passed to the no. of candidates appeared in school A?
a) 6:11 b) 11:6 c) 6:7 d) 7:6
6. Which school has highest percentage of candidates passed to the candidates enrolled?
a) B b) C c) E d) F
7. The total no. of candidates passed from school A + D exceed the no. of candidates enrolled from
school E + C together?
a) 299 b) 399 c) 379 d) 439
A
18%
B
17%
C
13%
D
16%
E
9%
F
15%
G
12% Total Passed
A
22%
B
15%
C
10%
D
17%
E
8%
F
12%
G
16%
TotalStudents
The chart shows Percentage profit of two companies over the years (2010-2015)
8. What is the percentage increase in the percentage profit of company A from the year 2011 to
2012?
a) 50 b) 33.3 c) 25 d) 15
9. If in the year 2012, the revenue earned by company A and B are equal then the ratio of expenses
incurred by company A and B in the same year is , given that revenue = expenses + profit.
a) 9:8 b) 3:8 c) 6:7 d) 15:16
10. If the revenue earned by company A in 2014 and the expenses incurred by company B in 2015
are equal and is Rs.90 lacs each. Then the difference between revenue earned by B in 2015 and
expenses of A in 2014 in lacs is, given that revenue = expenses + profit
a) 18 b) 36 c)54 d)72
11. The expenses of company B in 2011 is what % of its revenue in that year.
a) 37.5% b) 60% c) 62.5% d) 52.5%
0
10
20
30
40
50
60
70
2010 2011 2012 2013 2014 2015
Company A
Company B
The table below shows the number of new volunteers who joined different NGO’s. Prayas,
Paribhasa, Abhyas and Aatam Nirbhar which have been running from 2015. As per the rule,
a person who has joined one NGO cannot join any other NGO at the same time.
12. What is the percentage increase in total new volunteers who joined in 2020 to total new
volunteers who had joined in 2018 for all the four NGO’s combined?
a) 24% b) 26% c) 34% d) 36%
13. Which NGO showed the highest growth rate in the number of new volunteers who joined from
2018 to 2020 ?
a) Prayas b) Paribhasa c) Abhyas d) Aatam Nirbhar
14. The total number of new volunteers who joined Aatam Nirbhar from 2018 to 2020 is what
percent more than the average number of new volunteers who joined Paribhasha during the same
period of time?
a) 40% b) 45% c) 50% d) 100%
15. If average number of hours for which the volunteers at Paribhasa worked was 2 hours more than
the average number of hours for which the volunteers at Abhyas worked . Then how many
number of hours volunteers at Paribhasa worked more than the volunteers at Abhyas in 2020 ?
a) 10 hours b) 110 hours c) 100 hours d) cannot be determined
DATA SUFFICIENCY
0
20
40
60
80
100
120
Prayas Paribhasa Abhyas Aatam Nirbhar
2018
2019
2020
A. If the data in statement I alone is sufficient to answer the question, while the
data in statement II alone is not sufficient to answer the question.
B. If the data in statement II alone is sufficient to answer the question, while
the data in statement I alone is not sufficient to answer the question.
C. If the data in both the statements I and II together are necessary to answer
the question.
D. If the data in either I alone or II alone is sufficient to answer the question.
E. If the data in both the statements I and II together are not sufficient to
answer the question.
16 Is A >B?
I. A/B=5/3
II. A2
> B2
17 Is a>0?
I. b < -a
II. a < b
18. What is y=?
I. x + 3y= 8
II. 6x + 18y= 24
19. Given THREE=ONE+TWO where THREE, ONE, TWO are real number variables. Is
THREE>ONE?
I. ONE>0
II. TWO>0
20. Is A+ B > 5?
I. A< 2
II. B<4
21. On which month of the year was Manish born in 2004?
I. The numbering of the month was a prime no and he was born in one the first four
months of the year
II. The number of days in the month was odd number.
22. What is the cost price of a data bank?
I. The ratio of cost price of the data bank to its selling price is 4/3.
II. Every time a data bank is solved after bargaining (1/4) th of the cost is incurred as loss.
23. An IT- team has 25 employees, who are Indians, Brits or Americans. How many Americans are
there in this team?
I. The ratio of the Number of Indians to the Number of Brits is 13:8.
II. The ratio of the Number of Brits to the Number of Americans is 2:1.
24. Twenty girls competed in a race. The names of those who got the first five places were in
the alphabetical order. Who came first?
I. Heena and Dona were ahead of at least fifteen others.
II. Mona finished ahead of seventeen girls.
25. A man mixes two types of rice (A and B) and sells the mixture at the rate of Rs. 17 per kg.
Find his profit percentage.
I. The rate of X is Rs. 20 per kg.
II. The rate of Y is Rs. 13 per kg.
26. What is the son’s present age, if the father was 25 years old when the son was born?
I. 5 years back, the father’s age was twice the son’s age.
II. 6 years hence, twice the father’s age is 50 more than twice the son’s age.
27. How is T related to K?
I. R's sister J has married Ts brother L, who is the only son of his parents.
II. K is the only daughter of L and J.
A. If the data in statement I alone is sufficient to answer the question, while the
data in statement II alone is not sufficient to answer the question.
B. If the data in statement II alone is sufficient to answer the question, while
the data in statement I alone is not sufficient to answer the question.
C. If the data in either I alone or II alone is sufficient to answer the question
D. If the data in both the statements I and II together are not sufficient to
answer the question.
E. If the data in both the statements I and II together are necessary to answer
the question
28. P, Q, R, S and T sit around a circular table, facing the center. Who sits to the immediate right of
S?
I. P sits second to the right of S. R and T are immediate neighbors of P.
II. Q sits second to the right of P. Q is an immediate neighbor of both S and R.
29. A, B and C are sitting on a circular table with two person facing the center and one person facing
outside. Who is sitting immediate left of A?
I. B is facing the center and C sits immediate right of B.
II. B sits immediate right of A.
A. If I and II together are sufficient to answer the question
B. If I and III together are sufficient to answer the question
C. If II and III together are sufficient to answer the question
D. All three together are sufficient but neither two together are sufficient.
E. All three together are not sufficient
30. How is Anupam related to Manu?
I. Preeti is mother-in-law of Rashmi, who is wife of Anupam.
II. Preeti’s brother is Anupam’s maternal uncle.
III. Preeti’s husband is the only son of Manu.
Answers and Explanations
1. (B): Need to compare (48/180), (58/190), (60/200), (60/210) which yields B as the answer.
2. (A): In 2010 the percentage share is 30% in 2014 it is 14.28% the difference is 15.72%.
3. (C): Comparing 2013 and 2014 for 2013: 22/18, 2014: 20/40 2013 is therefore more.
4. (D): 115/5=23
5. (A): 5700/ 8500 = 2/3 Therefore Passed / Appeared = (18*2)/ (22* 3) = 6:11
6. (B): We need to compare 34/45, 26/30, 18/24, 30/36…where 26/30 is highest.
7. (B): (5700* 34/100) – (8550 * 18/100) = 399
8. (A): (15/45) * 100 = 33.33%
9. (D): A=60% = 3/5 if profit is 3 exp is 5 revenue = 8, B=50% = 1/2 if profit is 1 exp is 2
revenue =3. Make both revenues equal by multiplying with 3 for A and multiplying with 8 for
B. Now expenses will be in the ratio of 15: 16.
10. (B): In 2014 Ap= 25% = 1/4 which means if profit is 1 exp is 4 revenue is 5.
In 2015 Bp = 20% = 1/5 which means if profit is 1 exp is 5 revenue is 6.
5 unit = 90 lacs
B15 revenue – Aexpenses = 6-4= 2 units, therefore 2 units = 2*18= 36lac
11. (C): 60 % = 3/5 if profit is 3 expenses are 5 revenue is 8.
(5/8) *100 = 62.5%
12. (B): 315-250=65; 65/250 = 26%
13. (D): We need to compare 40/100, 30/70, 45/50, 30/30 ; Aatam Nirbhar is highest
14. (C): (130/3) / (260/3)= 1/2 which equals to 50%.
15. (D): Cannot be determined we do not the actual number of volunteers at the two
NGO’s.
16. E: A can be 5 and -5 and B can 3 and -3 so we do not get a definite anserwer even after
combining
17. C: 0< -2a which means a is negative
18. E: both I and II are same equations.
19. B: whether THREE is greater equal or less than ONE is dependent solely on the value of
TWO only.
20. E: Combining I and II : A+B is less than 6 but whether A+B > 5 is not definite.
21. E: Both Feb and March will have odd number of days in a leap year.
22. E: Both statements mean the same thing.
23. A: Statement I gives definite answer as 4, Statement II will give many answers.
24. C: The top three were Dona, Heena and Mona
25. E: Cost will vary between 13 and 20 since the exact cost is not known so we cannot
comment on profit.
26. A: Statement II does not provide a unique value for the variable.
27. C: Combining the two T is aunt of K.
28. E: Both the statements are required.
29. E: Combining the two will give C sits immediate left of A. A and B faces center and C
faces outside.
30. B: Combining I and III will give a definite answer. Manu is grandson.

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Di AND DS

  • 1. Data Interpretation and Data Sufficiency Data Interpretation The table shows the number of people buying mobile phones (in thousands) from 2010-2014 in two metropolitan cities. Year Nokia Samsung Sony Mi Local Indian brands 2010 51 46 40 8 25 2011 54 48 40 12 26 2012 50 58 38 18 26 2013 40 60 40 40 20 2014 30 60 42 60 18 1. The percentage of people buying Samsung is highest for which year? a) 2011 b) 2012 c) 2013 d) 2014 2. The difference between the percentage share of Nokia in 2010 and 2014 is? a) 15.72 b) 14.28 c) 30 d) 14.72 3. The percentage increase of people buying Mi phones is highest for which year when compared to the previous year? a) 2011 b) 2012 c) 2013 d) 2014 4. The average no. of phones sold of Local Indian Brands in thousands from 2010 to 2014 is a) 20 b) 21 c) 22 d) 23
  • 2. TOTAL STUDENTS: 8550 TOTAL PASSED: 5700 5. What is the ratio of no. of candidates passed to the no. of candidates appeared in school A? a) 6:11 b) 11:6 c) 6:7 d) 7:6 6. Which school has highest percentage of candidates passed to the candidates enrolled? a) B b) C c) E d) F 7. The total no. of candidates passed from school A + D exceed the no. of candidates enrolled from school E + C together? a) 299 b) 399 c) 379 d) 439 A 18% B 17% C 13% D 16% E 9% F 15% G 12% Total Passed A 22% B 15% C 10% D 17% E 8% F 12% G 16% TotalStudents
  • 3. The chart shows Percentage profit of two companies over the years (2010-2015) 8. What is the percentage increase in the percentage profit of company A from the year 2011 to 2012? a) 50 b) 33.3 c) 25 d) 15 9. If in the year 2012, the revenue earned by company A and B are equal then the ratio of expenses incurred by company A and B in the same year is , given that revenue = expenses + profit. a) 9:8 b) 3:8 c) 6:7 d) 15:16 10. If the revenue earned by company A in 2014 and the expenses incurred by company B in 2015 are equal and is Rs.90 lacs each. Then the difference between revenue earned by B in 2015 and expenses of A in 2014 in lacs is, given that revenue = expenses + profit a) 18 b) 36 c)54 d)72 11. The expenses of company B in 2011 is what % of its revenue in that year. a) 37.5% b) 60% c) 62.5% d) 52.5% 0 10 20 30 40 50 60 70 2010 2011 2012 2013 2014 2015 Company A Company B
  • 4. The table below shows the number of new volunteers who joined different NGO’s. Prayas, Paribhasa, Abhyas and Aatam Nirbhar which have been running from 2015. As per the rule, a person who has joined one NGO cannot join any other NGO at the same time. 12. What is the percentage increase in total new volunteers who joined in 2020 to total new volunteers who had joined in 2018 for all the four NGO’s combined? a) 24% b) 26% c) 34% d) 36% 13. Which NGO showed the highest growth rate in the number of new volunteers who joined from 2018 to 2020 ? a) Prayas b) Paribhasa c) Abhyas d) Aatam Nirbhar 14. The total number of new volunteers who joined Aatam Nirbhar from 2018 to 2020 is what percent more than the average number of new volunteers who joined Paribhasha during the same period of time? a) 40% b) 45% c) 50% d) 100% 15. If average number of hours for which the volunteers at Paribhasa worked was 2 hours more than the average number of hours for which the volunteers at Abhyas worked . Then how many number of hours volunteers at Paribhasa worked more than the volunteers at Abhyas in 2020 ? a) 10 hours b) 110 hours c) 100 hours d) cannot be determined DATA SUFFICIENCY 0 20 40 60 80 100 120 Prayas Paribhasa Abhyas Aatam Nirbhar 2018 2019 2020
  • 5. A. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. B. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. C. If the data in both the statements I and II together are necessary to answer the question. D. If the data in either I alone or II alone is sufficient to answer the question. E. If the data in both the statements I and II together are not sufficient to answer the question. 16 Is A >B? I. A/B=5/3 II. A2 > B2 17 Is a>0? I. b < -a II. a < b 18. What is y=? I. x + 3y= 8 II. 6x + 18y= 24 19. Given THREE=ONE+TWO where THREE, ONE, TWO are real number variables. Is THREE>ONE? I. ONE>0 II. TWO>0 20. Is A+ B > 5? I. A< 2 II. B<4 21. On which month of the year was Manish born in 2004? I. The numbering of the month was a prime no and he was born in one the first four months of the year II. The number of days in the month was odd number. 22. What is the cost price of a data bank? I. The ratio of cost price of the data bank to its selling price is 4/3.
  • 6. II. Every time a data bank is solved after bargaining (1/4) th of the cost is incurred as loss. 23. An IT- team has 25 employees, who are Indians, Brits or Americans. How many Americans are there in this team? I. The ratio of the Number of Indians to the Number of Brits is 13:8. II. The ratio of the Number of Brits to the Number of Americans is 2:1. 24. Twenty girls competed in a race. The names of those who got the first five places were in the alphabetical order. Who came first? I. Heena and Dona were ahead of at least fifteen others. II. Mona finished ahead of seventeen girls. 25. A man mixes two types of rice (A and B) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage. I. The rate of X is Rs. 20 per kg. II. The rate of Y is Rs. 13 per kg. 26. What is the son’s present age, if the father was 25 years old when the son was born? I. 5 years back, the father’s age was twice the son’s age. II. 6 years hence, twice the father’s age is 50 more than twice the son’s age. 27. How is T related to K? I. R's sister J has married Ts brother L, who is the only son of his parents. II. K is the only daughter of L and J. A. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. B. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. C. If the data in either I alone or II alone is sufficient to answer the question D. If the data in both the statements I and II together are not sufficient to answer the question. E. If the data in both the statements I and II together are necessary to answer the question 28. P, Q, R, S and T sit around a circular table, facing the center. Who sits to the immediate right of S? I. P sits second to the right of S. R and T are immediate neighbors of P. II. Q sits second to the right of P. Q is an immediate neighbor of both S and R.
  • 7. 29. A, B and C are sitting on a circular table with two person facing the center and one person facing outside. Who is sitting immediate left of A? I. B is facing the center and C sits immediate right of B. II. B sits immediate right of A. A. If I and II together are sufficient to answer the question B. If I and III together are sufficient to answer the question C. If II and III together are sufficient to answer the question D. All three together are sufficient but neither two together are sufficient. E. All three together are not sufficient 30. How is Anupam related to Manu? I. Preeti is mother-in-law of Rashmi, who is wife of Anupam. II. Preeti’s brother is Anupam’s maternal uncle. III. Preeti’s husband is the only son of Manu. Answers and Explanations 1. (B): Need to compare (48/180), (58/190), (60/200), (60/210) which yields B as the answer. 2. (A): In 2010 the percentage share is 30% in 2014 it is 14.28% the difference is 15.72%. 3. (C): Comparing 2013 and 2014 for 2013: 22/18, 2014: 20/40 2013 is therefore more. 4. (D): 115/5=23 5. (A): 5700/ 8500 = 2/3 Therefore Passed / Appeared = (18*2)/ (22* 3) = 6:11 6. (B): We need to compare 34/45, 26/30, 18/24, 30/36…where 26/30 is highest. 7. (B): (5700* 34/100) – (8550 * 18/100) = 399 8. (A): (15/45) * 100 = 33.33% 9. (D): A=60% = 3/5 if profit is 3 exp is 5 revenue = 8, B=50% = 1/2 if profit is 1 exp is 2 revenue =3. Make both revenues equal by multiplying with 3 for A and multiplying with 8 for B. Now expenses will be in the ratio of 15: 16. 10. (B): In 2014 Ap= 25% = 1/4 which means if profit is 1 exp is 4 revenue is 5. In 2015 Bp = 20% = 1/5 which means if profit is 1 exp is 5 revenue is 6.
  • 8. 5 unit = 90 lacs B15 revenue – Aexpenses = 6-4= 2 units, therefore 2 units = 2*18= 36lac 11. (C): 60 % = 3/5 if profit is 3 expenses are 5 revenue is 8. (5/8) *100 = 62.5% 12. (B): 315-250=65; 65/250 = 26% 13. (D): We need to compare 40/100, 30/70, 45/50, 30/30 ; Aatam Nirbhar is highest 14. (C): (130/3) / (260/3)= 1/2 which equals to 50%. 15. (D): Cannot be determined we do not the actual number of volunteers at the two NGO’s. 16. E: A can be 5 and -5 and B can 3 and -3 so we do not get a definite anserwer even after combining 17. C: 0< -2a which means a is negative 18. E: both I and II are same equations. 19. B: whether THREE is greater equal or less than ONE is dependent solely on the value of TWO only. 20. E: Combining I and II : A+B is less than 6 but whether A+B > 5 is not definite. 21. E: Both Feb and March will have odd number of days in a leap year. 22. E: Both statements mean the same thing. 23. A: Statement I gives definite answer as 4, Statement II will give many answers. 24. C: The top three were Dona, Heena and Mona 25. E: Cost will vary between 13 and 20 since the exact cost is not known so we cannot comment on profit. 26. A: Statement II does not provide a unique value for the variable. 27. C: Combining the two T is aunt of K. 28. E: Both the statements are required.
  • 9. 29. E: Combining the two will give C sits immediate left of A. A and B faces center and C faces outside. 30. B: Combining I and III will give a definite answer. Manu is grandson.