1. Find the present age of A.

Statement I: Ratio of age of A, B after 5 years is 5:7, and ratio of ages of A, C before 5 years is 5:3. Sum of the age of B after 5 years and C before 5 years is 44 years.

Statement II: Ratio of A and C after 7 years is 9:7, Sum of the present age of A and C is 34

A. The data given in both statements I and II together are not sufficient to answer the question
B. 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
C. 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
D. The data given in both statements I and II together are necessary to answer the question
E. The data either in statement I alone or in statement II alone is sufficient to answer the question

Option “E” is correct.

Answer: E

From statement I,

A’s present age = 5x-5, B’s present age = 7x-5                                 

A’s present age = 5y+5 , C’s present age = 3y+5

5x-5 = 5y+5                           

 x – y = 2

7x+3y =44

solving this, A’s present age=20

From statement II,

A’s present age = 9x-7 , C’s present age = 7x-7

 9x-7 + 7x-7 = 34

16x =48       

x=3

9x-7 = 20                                                   

Therefore, either statement I or II is sufficient to answer this question

2. A Bag contains ‘x’ red balls, 7 yellow balls, 8 green balls. Find the total number of balls in the bag.

Statement I: If two balls are taken at random, the probability of that balls being red is 1/19

Statement II: If two balls are taken at random, the probability of balls being green is 14/95

A. The data given in both statements I and II together are not sufficient to answer the question
B. 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
C. 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
D. The data given in both statements I and II together are necessary to answer the question
E. The data either in statement I alone or in statement II alone is sufficient to answer the question

Option “E” is correct.

Answer: E

From statement I,

Let no of Red balls = R (Therefore total balls = 15+R)



R=5

Total number of balls =20                  

Either Statement I or II is sufficient to answer this question.

3. What is the volume of the sphere?

Statement I: Radius of the cylinder is equal to the radius of the sphere and the volume of the cylinder is 2772 cm3.

Statement II: Volume of the cone is 308 cm3 and the height of the cone is 1 cm less than the radius of the cone and the radius of the cone is equal to the radius of the sphere.

A. The data given in both statements I and II together are not sufficient to answer the question
B. 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
C. 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
D. The data given in both statements I and II together are necessary to answer the question
E. The data either in statement I alone or in statement II alone is sufficient to answer the question

Option “B” is correct.

Answer: B

From statement I,

Radius of the cylinder is equal to the radius of the sphere and the volume of the cylinder is 2772 cm3.

So, Statement I alone is not sufficient to answer the question.

From statement II,

308 = 1/3 * 22/7 * r * r * (r – 1)

294 = r3 – r2

r = 7 cm

Volume of the sphere = 4/3 * 22/7 * 7 * 7 * 7 = 4312/3 cm3

So, Statement II alone is sufficient to answer the question.

4. What is the length of train A?

Statement I: Train A crosses train B running in opposite direction in 18 seconds. Train B crosses a 500 m long bridge in 48 seconds and also crosses a man standing in a platform in 18 seconds.

Statement II: Train A crosses a platform of length 150 m and train C having length 250 m running in opposite direction in 24 seconds and 21 seconds respectively.

A. The data given in both statements I and II together are not sufficient to answer the question
B. 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
C. 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
D. The data given in both statements I and II together are necessary to answer the question
E. The data either in statement I alone or in statement II alone is sufficient to answer the question

Option “D” is correct.

Answer: D

From statement I,

Length of train A = x

Speed of train A = y

Speed of train B = z

Length of train B = b

x + b = (y + z) * 5/18 * 18

x + b = 5y + 5z

b + 500 = z * 5/18 * 48

3b + 1500 = 40z

b = z * 5/18 * 18

b = 5z

3b + 1500 = 8b

b = 300

z = 300/5 = 60

So, Statement I alone is not sufficient to answer the question.

From statement II,

Length of train A = x

Speed of train A = y

Speed of train C = c

x + 150 = y * 5/18 * 24

3x + 450 = 20y

x + 250 = (y + c) * 5/18 * 21

So, Statement II alone is not sufficient to answer the question.

5. Dinesh and Ramesh entered into a partnership with an investment in the ratio 7 : 5 respectively. After one year, Tanish joined them with investment equal to average of the initial investments of Dinesh and Ramesh. After one more year, Ramesh invested Rs. 20000 more. At the end of three years, they earned a total profit of Rs. 156000. Find the share of Ramesh in the profit.

Statement I: Respective ratio of the profit shares of Ramesh and Tanish is 19:12.

Statement II: Share of Dinesh in the profit is Rs. 63000.

A. The data given in both statements I and II together are not sufficient to answer the question
B. 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
C. 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
D. The data given in both statements I and II together are necessary to answer the question
E. The data either in statement I alone or in statement II alone is sufficient to answer the question

Option “C” is correct.

Answer: C

Let, initial amounts invested by Dinesh and Ramesh be Rs.7k and Rs.5k respectively.

Ratio of shares in the profit:

Dinesh : Ramesh : Tanish = (7k x 3) : (5k x 2 + 5k + 20000) : (6k x 2)

= 21k : (15k + 20000) : 12k ————— (i)

From Statement I:

(15k + 20000)/12k = 19/12

=> 19k = 15k + 20000

=> 19k – 15k = 20000

=> 4k = 20000

=> k = 20000/4

=> k = 5000

From (i)

Dinesh : Ramesh : Tanish = (21 x 5000) : (15 x 5000 + 20000) : (12 x 5000)

= 105000 : 95000 : 60000

= 21 : 19 : 12

Share of Ramesh in the profit = [19/(21 + 19 + 12)] x 156000

= (19/52) x 156000

= Rs. 57000

From Statement II:

[21k/(21k + 15k + 20000 + 12k)] x 156000 = 63000

=> 21k/(48k + 20000) x 52 = 21

=> 1092k = 1008k + 420000

=> 1092k – 1008k = 420000

=> 84k = 420000

=> k = 420000/84

=> k = 5000

From (i)

Dinesh: Ramesh: Tanish = (21 x 5000): (15 x 5000 + 20000): (12 x 5000)

= 105000: 95000: 60000

= 21: 19: 12

Share of Ramesh in the profit = [19/(21 + 19 +12)] x 156000

= (19/52) x 156000

= Rs. 57000

Hence, data in either in statement I alone or in statement II alone is sufficient to answer the question.

6. Find the difference between compound interest and simple interest on Rs. P at r % per annum after two years.

Statement I: Simple interest on Rs. P at r% per annum after five years will be Rs.24000.

Statement II: The total amount on compound interest of Rs. 50000 at r% per annum after two years will be Rs. 58320.

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 in statement I alone or in statement 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.

Option “E” is correct.

Answer: E

From Statement I:

We know that

SI = (P x r x t)/100

=> 24000 = (P x r x 5)/100

=> P x r = 2400000/5

=> P x r = 480000

From Statement II:

We know that

Amount on CI = P x (1 + r/100)t

=>58320 = 50000 x (1 + r/100)2

=>58320/50000 = (1 + r/100)2

=> 729/625 = (1 + r/100)2

=> (27/25)2 = (1 + r/100)2

=> 27/25 = 1 + r/100

=> 27/25 – 1 = r/100

=> (27 – 25)/25 = r/100

=> 2 = r/4

=> r = 8%

From Statement I and II:

P x 8 = 480000

=> P = Rs. 60000

We know that, for two years

CI – SI = P x (r/100)2

= > 60000 x (8/100)2

= > 60000 x (8/100) x (8/100)

= > Rs. 384

Hence, data in both the statements I and II together are necessary to answer the question.

7. Find the share of C?

I) A, B and C started a business by investing Rs. 20000, Rs. 30000 and Rs. 40000 respectively. After 7 months, A invested Rs. 10000 more but C withdraw Rs. 10000. The total profit at the end of the year is Rs. 108000

II) A and C enter into a partnership by investing Rs. 30000 and Rs. 40000 respectively. After 4 months, B entered into a partnership by investing Rs. 50000.

A. Either statement I or statement II is sufficient
B. Only statement I is sufficient
C. Only statement II is sufficient
D. Both the statements I and II together are sufficient
E. Neither statement I nor statement II is sufficient

Option “B” is correct.

Answer: B

From statement I,

The share of A, B and C,

= > [20000 * 7 + 30000 * 5]: [30000 * 12]: [40000 * 7 + 30000 * 5]

= > [140000 + 150000]: [360000]: [280000 + 150000]

= > 290000: 360000: 430000

= > 29: 36: 43

108’s = 108000

1’s = 1000

The share of C = 43’s = Rs. 43000

Only statement I alone is sufficient to answer the question.

8. How long will 15 women and 6 men take to do the work?

I) 6 women and 8 men can do a work in 4 days.

II) 9 women and 10 men can do the same work in 3 days.

A. Either statement I or statement II is sufficient
B. Only statement I is sufficient
C. Only statement II is sufficient
D. Both the statements I and II together are sufficient
E. Neither statement I nor statement II is sufficient

Option “D” is correct.

Answer: D

From statement I,

6 women and 8 men can do a work in 4 days

This statement alone is not sufficient to answer the question. 

From statement II,

9 women and 10 men can do the same work in 3 days

This statement alone is not sufficient to answer the question. 

From statement I and II,

Total work = (men (or) women) * days

Work equal. So,

(6w + 8m) * 4 = (9w + 10m) * 3

24w + 32m = 27w + 30m

2m = 3w

15w + 6m = 10m + 6m = 16 m

6w + 8m = 4m + 8m = 12 m

Men   days

12      4

16      ?

(12 * 4) = (16 * x)

x = 3 days

Both the Statement I and II are sufficient to answer the question.

9. Find the age of Neelima after six years.

Statement I: Average of the present ages of Neelima, Sekhar and Sikha is 20 years. Respective ratio of the ages of Sekhar and Sikha before five years was 3:4.

Statement II: Respective ratio of the ages of Sekhar and Sikha after five years will be 5:6.

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 in statement I alone or in statement 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.

Option “E” is correct.

Answer: E

From Statement I:

Neelima + Sekhar + Sikha = 3 x 20 = 60

Respective ratio of the ages of Sekhar and Sikha before five years was 3:4.

From Statement II:

Respective ratio of the ages of Sekhar and Sikha after five years will be 5:6.

From Statement I and II:

Let, ages of Sekhar and Sikha before five years be 3k years and 4k years respectively.

(3k + 10)/(4k + 10) = 5/6

=> 18k + 60 = 20k + 50

=> 20k – 18k = 60 – 50

=> 2k = 10

=> k = 5

Present age of Sekhar = 3k + 5 = 3 x 5 + 5 = 20 years

Present age of Sikha = 4k + 5 = 4 x 5 + 5 = 25 years

Neelima + Sekhar + Sikha = 3 x 20 = 60

=>Neelima + 20 + 25 = 60

=>Neelima = 60 – 45

=>Neelima = 15

Age of Neelima after six years = 15 + 6 = 21 years

Hence, data in both the statements I and II together are necessary to answer the question.

10. The number of employees in company A is 5400. What is the ratio of the number of male employees in B to the number of female employees in B?

Statement I: The number of male employees in B is 11% more than the number of male employees in A and the number of female employees in B is 17% more than the number of female employees in B.

Statement II: The number of female employees in B is 612 more than the total number of female employees in A.

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 in statement I alone or in statement 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.

Option “E” is correct.

Answer: E

From statement I,

Number of employees in A = 5400

Number of female employees in A = x

Number of male employees in A = y

Number of male employees in B = y * 111/100

Number of female employees in B = x * 117/100

So, Statement I alone is not sufficient to answer the question.

From statement II,

Number of female employees in B – number of female employees in A = 612

So, Statement II alone is not sufficient to answer the question.

From statement I and II,

117x/100 – x = 612

17x = 61200

x = 3600

Number of male employees in A = 5400 – 3600 = 1800

Required ratio = 1800 * 111/100: 3600 * 117/100

= 37: 78

Both statements are necessary to answer the question.

135 thoughts on “Data Sufficiency”

  1. Hey! Do you know if they make any plugins to help with SEO?
    I’m trying to get my site to rank for some targeted keywords but I’m not seeing very good results.

    If you know of any please share. Thank you! I saw similar text here: Eco product

  2. Hi there! Do you know if they make any plugins to assist with
    SEO? I’m trying to get my website to rank for some targeted keywords but I’m not seeing very good success.
    If you know of any please share. Thanks! I saw similar art here:
    Coaching

  3. I am extremely impressed with your writing talents as neatly as with the structure in your blog. Is this a paid subject or did you customize it yourself? Either way keep up the nice high quality writing, it is rare to look a great blog like this one today. I like gkquestionsguru.com ! My is: Madgicx

  4. I’m really inspired along with your writing abilities as well as with the layout on your blog. Is this a paid theme or did you customize it yourself? Either way stay up the nice quality writing, it is rare to see a nice weblog like this one these days. I like gkquestionsguru.com ! Mine is: LinkedIN Scraping

  5. Explore the ranked best online casinos of 2025. Compare bonuses, game selections, and trustworthiness of top platforms for secure and rewarding gameplaycasino bonus.

  6. ¡Hola, cazadores de tesoros!
    Casinos extranjeros confiables para jugadores de EspaГ±a – п»їhttps://casinoextranjerosespana.es/ mejores casinos online extranjeros
    ¡Que disfrutes de asombrosas triunfos legendarios !

  7. Bradleywette

    ¡Saludos, estrategas del juego !
    Casino online extranjero para todo tipo de jugador – п»їhttps://casinosextranjerosenespana.es/ casinosextranjerosenespana.es
    ¡Que vivas increíbles jugadas excepcionales !

  8. Эта статья для ознакомления предлагает читателям общее представление об актуальной теме. Мы стремимся представить ключевые факты и идеи, которые помогут читателям получить представление о предмете и решить, стоит ли углубляться в изучение.
    Подробнее – https://nakroklinikatest.ru/

  9. Этот информативный текст отличается привлекательным содержанием и актуальными данными. Мы предлагаем читателям взглянуть на привычные вещи под новым углом, предоставляя интересный и доступный материал. Получите удовольствие от чтения и расширьте кругозор!
    Получить больше информации – https://nakroklinikatest.ru/

  10. ¡Saludos, apostadores entusiastas !
    Bonos exclusivos en casinos extranjeros confiables – п»їhttps://casinosextranjero.es/ casinos extranjeros
    ¡Que vivas increíbles instantes inolvidables !

  11. В этой статье собраны факты, которые освещают целый ряд важных вопросов. Мы стремимся предложить читателям четкую, достоверную информацию, которая поможет сформировать собственное мнение и лучше понять сложные аспекты рассматриваемой темы.
    Исследовать вопрос подробнее – https://nakroklinikatest.ru/

  12. ¡Hola, descubridores de oportunidades!
    Casinos online extranjeros con torneos de slots – п»їhttps://casinoextranjero.es/ п»їcasinos online extranjeros
    ¡Que vivas logros excepcionales !

  13. Эта статья полна интересного контента, который побудит вас исследовать новые горизонты. Мы собрали полезные факты и удивительные истории, которые обогащают ваше понимание темы. Читайте, погружайтесь в детали и наслаждайтесь процессом изучения!
    Узнать больше – https://nakroklinikatest.ru/

  14. Предлагаем вашему вниманию интересную справочную статью, в которой собраны ключевые моменты и нюансы по актуальным вопросам. Эта информация будет полезна как для профессионалов, так и для тех, кто только начинает изучать тему. Узнайте ответы на важные вопросы и расширьте свои знания!
    Детальнее – https://nakroklinikatest.ru/

  15. Эта публикация погружает вас в мир увлекательных фактов и удивительных открытий. Мы расскажем о ключевых событиях, которые изменили ход истории, и приоткроем завесу над научными достижениями, которые вдохновили миллионы. Узнайте, чему может научить нас прошлое и как применить эти знания в будущем.
    Получить дополнительную информацию – https://nakroklinikatest.ru/

  16. ¡Saludos, seguidores del éxito !
    casino por fuera para ruleta en vivo – п»їhttps://casinosonlinefueraespanol.xyz/ casino online fuera de espaГ±a
    ¡Que disfrutes de triunfos épicos !

  17. ¡Bienvenidos, entusiastas de la emoción !
    Casino online fuera de EspaГ±a con salas privadas – п»їhttps://casinofueraespanol.xyz/ casinos fuera de espaГ±a
    ¡Que vivas increíbles victorias legendarias !

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top