# DATA Sufficiency Syllabus Notes 2022 Download Study Materials BOOK PDF

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Data Sufficiency

Each of the questions below consists of a question and two/three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer.

1. The ages of Anand and Sujeet are in the ratio of 6 : 5. What is the age of Anand?

I. The ages of Anand and Sandeep are in the ratio of 10: 7.

II. After 5 year, the ratio of Anand’s and Sujeet’s ages will be 7 : 6.

A. Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B. Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C. Both the Statements I and II together are needed to answer the question.

D. Either the Statement I alone or Statement II alone is sufficient to answer the question.

E. Cannot get the answer from the Statements I and II together but need even more data.

Correct option is : B

2. What is the three-digit number?

I. Three-fifth of that number is less than that number by 90.

II. One-fourth of that number is 25% of that number.

A. Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B. Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C. Both the Statements I and II together are needed to answer the question.

D. Either the Statement I alone or Statement II alone is sufficient to answer the question.

E. Cannot get the answer from the Statements I and II together but need even more data.

Correct option is : A

3. In how many days 14 men and 21 women can complete a piece of work?

I. If 18 women and 24 child can complete the same piece of work in 24 days.

II. If 14 men and 28 children can complete the same piece of work in 56 days.

A. Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B. Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C. Both the Statements I and II together are needed to answer the question.

D. Either the Statement I alone or Statement II alone is sufficient to answer the question.

E. Cannot get the answer from the Statements I and II together but need even more data.

Correct option is : E

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4. What is the salary of A, in a group of A, B, C, D and E whose average salary is Rs.65780?

I. Total of the salaries of B and C is Rs.88545.

II. Total of the salaries of D and E is Rs.59020.

A. Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B. Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C. Both the Statements I and II together are needed to answer the question.

D. Either the Statement I alone or Statement II alone is sufficient to answer the question.

E. Cannot get the answer from the Statements I and II together but need even more data.

Correct option is : C

5. What is the profit earned by selling a watch for Rs.15675?

I. Total cost price of 5 such watches is equal to selling price of 4 such watches.

II. 25% profit is earned by selling each watch.

A. Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B. Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C. Both the Statements I and II together are needed to answer the question.

D. Either the Statement I alone or Statement II alone is sufficient to answer the question.

E. Cannot get the answer from the Statements I and II together but need even more data.

Correct option is : D

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6. Is 2p + 5q negative?

I. p is positive.

II. q is negative.

A. Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B. Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C. Both the Statements I and II together are needed to answer the question.

D. Either the Statement I alone or Statement II alone is sufficient to answer the question.

E. Cannot get the answer from the Statements I and II together but need even more data.

Correct option is : E

7. What percentage of his income does Mr. Kaushal spend on his travel?

I. He spends 40% of his income on food, 20% on rent and 15% on clothes.

II. He spends 10% of his income on food.

A. Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B. Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C. Both the Statements I and II together are needed to answer the question.

D. Either the Statement I alone or Statement II alone is sufficient to answer the question.

E. Cannot get the answer from the Statements I and II together but need even more data.

Correct option is : E

8. How many kilometres long is the route from Ahmedabad to Bhopal?

I. It will take 1 hr less to travel the entire route at an average speed of 55 km/hr than at an average speed of 50 km/hr.

A. Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B. Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C. Both the Statements I and II together are needed to answer the question.

D. Either the Statement I alone or Statement II alone is sufficient to answer the question.

E. Cannot get the answer from the Statements I and II together but need even more data.

Correct option is : D

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Solution:

from statement I,
Time× Speed = Dist.
T1×S1 = T2 S2
50×T = 55(T-1)
50T = 55T-55
5T=55
T = 11 hours
∴ Distance= T1×S1
= 50×11 = 550 km.
from statement II,
d/2= 25×11
d = distance = 50×11 = 550 km.

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