23-07-2021 Answer

 1. In the following questions, mark
1, if statement I alone can help determine the conclusion
2, if statement II alone can help determine the conclusion
3, if statement I and II taken together can help determine the conclusion
4, if none of the statements, taken together or separately can help determine the conclusion
Conclusion: Sunitha wears an Emerald ring.
(I)  Sunitha believes in astrology.
(II) People who believe in astrology wear rings

Answer: 4

Solution: Option 4. Statement I and II does not help us to conclude if it is Emerald ring. (Though Sunitha believes in astrology and also wears a ring, the ring could be a Topaz or a Diamond ring etc).

2. In the following questions, mark
1, if statement I alone can help determine the answer
2, if statement II alone can help determine the answer
3, if statement I and II taken together can help determine the answer
4, if none of the statements, taken together or separately can help determine the answer
What is the value of x?
(I) x + y = 7
(II) x – y = 3 – y 

Answer: 2

Solution: Answer is 2 as statement II alone is enough to conclude.

As x-y = 3-y, x=3-y+y

=> x=3.

3. Choose the option based on the following conditions
(A) If the data in statement I alone is sufficient to answer the question
(B) If the data in statement II alone is sufficient to answer the question
(C) If the data either in I or II alone is sufficient to answer the question
(D) If the data even in both the statements together is not sufficient to answer the question
(E) If the data in both the statements together is needed.
Hemant ranks tenth in a class. How many students are there in the class?
I. His friend got 58th rank which is the last.
II. Hemant's rank from the last is 49th.

Answer: C

Solution: From stmt I, we directly know there are 58 students.

From stmt II, we can infer number of students = 49+10-1 = 58

4. Which statement(s) are sufficient to answer the question below?
What is the age of A?
1. The sum of ages of A and B is 30 years
2. A is 10 years more than the age of B
3. The product of ages of A and B is 200

Answer: Any two of these

Solution: Any two statements (1,2 or 2,3 or 3,1) can answer the question.

5. In the following questions, mark
1, if statement I alone can help determine the conclusion
2, if statement II alone can help determine the conclusion
3, if statement I and II taken together can help determine the conclusion
4, if none of the statements, taken together or separately can help determine the conclusion
Conclusion: Polygamy is a crime.
(I) Manish was arrested as he married Neeta.
(II) Manish married Neeta without divorcing his first wife.

Answer: 3

Solution: Answer is 3 as both the statements helps to conclude Manish was arrested as he married for the second time without a legal separation from his first wife.

6. Choose an option based on the following conditions
(A) If the data in statement I alone is sufficient to answer the question
(B) If the data in statement II alone is sufficient to answer the question
(C) If the data either in I or II alone is sufficient to answer the question
(D) If the data even in both the statements together is not sufficient to answer the question
(E) If the data in both the statements together is needed.
Question: Is D brother of F?
I. B has two sons of which F is one.
II. D's mother is married to B.

Answer: E

Solution: From stmt I and II we know both D and F are brothers as their parents are same.

7. Reading the below question choose,
1, if statement I alone can help determine the conclusion
2, if statement II alone can help determine the conclusion
3, if statement I and II taken together can help determine the conclusion
4, if none of the statements, taken together or separately can help determine the conclusion
Conclusion: The value of x^10 is 4096
Statement I: x is a prime number.
Statement II: x is even.

Answer: 3

Solution: I alone is not enough as there are infinite number of primes. Same with stmt II.

But combining both the only even prime number is 2. Hence both the statements together help to determine the conclusion

8. In the following questions, mark
1, if statement I alone can help determine the conclusion
2, if statement II alone can help determine the conclusion
3, if statement I and II taken together can help determine the conclusion
4, if none of the statements, taken together or separately can help determine the conclusion
Conclusion: Madan went to Madurai last Friday.
(I)  Madan came back to Bangalore from Madurai yesterday which was a Monday.
(II) I and Madan went to a hotel in Bangalore to have our dinner last Thursday.

Answer: 4

Solution: I confirms Madan went to Madurai and came back to Bangalore.

II just says Madan was in Bangalore last Thursday.

It could be that Madan went to Madurai on saturday. So none of the statements, taken together or separately can help determine the conclusion "that is ON FRIDAY Madan went to Madurai"

9. What is/are the statements) necessary to answer the below question?
If x and y are positive integers and x/y = 2, what is the value of x?
Statements:
(1) 1 < y < 5
(2) y is an odd value.

Answer: Both statements 1 and 2

Solution: From 1 and 2, y=3 (As 3 is the only odd value between 1 and 5). So x= 2*3 = 6.

10. What is/are the statements sufficient to answer the below question?
Find the two numbers.
Statement:
(1) Difference of two numbers is 11
(2) One fifth of the sum of two numbers is 9.
(3) Both the numbers are positive

Answer: Statements 1 and 2

Solution: Using 1, x-y=11,

Using 2, x+y=45

Now we can solve for x,y as we have two distinct equations for two variables.

11. What is/are the statement(s) necessary to answer the below question?
What is the gain percent?
Statements:
(1) Cost price of 21 articles is equal to selling price of 18 articles
(2) Cost price of 1 article is Rs.13 less than the selling price.

Answer: Statement 1 alone

Solution: Using statement 2 we cannot find the gain % as the actual value of cost price or selling price is not given.

12. What is/are the statements) necessary to answer the below question?
What is Ram's present age?
Statements:
(1) Ram's age is sum of the ages of his 2 children.
(2) Younger child is 20 year old.
(3) Elder child is twice the younger one.

Answer: Statements 1, 2 and 3

Solution: From 2,3 we can know the ages of the children as 20,40.

From 1, we know Rams age = 20+40 = 60 years.

13. Which statement(s) are necessary to answer the below question?
What is the value of x ?
Statements:
(1) x + y = 20
(2) z - 3x = 45

Answer: None of these

Solution: There are three variables but only two distinct equations. Hence x cannot be found.

14. In the following questions, mark
1, if statement I alone can help determine the conclusion
2, if statement II alone can help determine the conclusion
3, if statement I and II taken together can help determine the conclusion
4, if none of the statements, taken together or separately can help determine the conclusion
Conclusion: Kate's job application got rejected.
(I)  Yesterday was the last day to apply for the job. Applications received after the due date will be rejected.
(II) Kate posted the job application only today morning.

Answer: 3

Solution: Statement I mentions the due date and II mentioned that Kate was not able to make it before the deadline (and hence help us to conclude the application was rejected).

15. In the following questions, mark
1) if statement I alone can help determine the conclusion
2) if statement II alone can help determine the conclusion
3) if statement I and II taken together can help determine the conclusion
4) if none of the statements, taken together or separately can help determine the conclusion
Conclusion: Only couples are allowed to attend the party.
Statement I: Mr. Krish went stag and hence was denied entry to the party.
Statement II: Mr.Krish is a bachelor and hence was denied entry to the party.

Answer: 1

Solution: I confirms Mr.Krish went stag and hence helps to conclude.

II just says he is a bachelor and hence does not deny the fact that he could have taken a girl as a date to the party.