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 Statement and Conclusions Questions

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Q:

As per the National Forestry Report, 1998 , India must retain a true cover of 33 per cent as against the 19 per cent at present . A budgetary allocation of Rs 850 crore is just a drop in the ocean.

Conclusions:

I. The forest coverage in a country should be in proportion to its popullation 

II. Inadequate budgetary allocation comes in the way of enhancing the forest coverage.

A) If only conclusion I follows B) If only conclusion II follows
C) If neither I nor II follows D) If both I and II follow
 
Answer & Explanation Answer: B) If only conclusion II follows

Explanation:

The relation of forest to population can't be derived from the statement. Hence I does not follow. From the second sentence and from the tone of the statement II can be derived. Hence follows.

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Q:

In the question below consists of a question and two statements numbered a and b given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer.

Question: How is Vinitha related to Ragini ?
Statements:
a. Vinitha's husband is the only son of Ragini's mother.
b. Vinitha's brother and Ragini's husband are cousins.

A) Neither a nor b is sufficient B) Either a or b is sufficient
C) Both a & b are sufficient D) a alone is sufficient while b alone is not sufficient
 
Answer & Explanation Answer: B) Either a or b is sufficient

Explanation:

From a, we conclude that Vinitha is the wife of Ragini's mother's only son i.e. Ragini's brother. Thus, Vinitha is Ragini's sister-in-law.

From b, we conclude that Vinitha is the cousin of Ragini's husband, which implies that Vinitha is Ragini's sister-in-law.

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Q:

Assuming the given statements to be true, find which of the two conclusions A and B given below is/are definitely true.

Statements: C < T < L= P > Q,  N > C > Y

Conclusions:   A. P > Y       B. Y < P

A) only conclusion B is true. B) only conclusion A is true.
C) neither conclusion I nor II is true. D) either conclusion I or II is true.
 
Answer & Explanation Answer: A) only conclusion B is true.

Explanation:

From given statements, we can conclude that

N > C < T < L= P > Q  .....(1)

Here given that C > Y but in eq(1) we got that C < T < T <= P => Y is definitely less than P.

So only conclusion B is True.

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Q:

Find which of the two conclusions I and II given below is/are definitely true from the the given statements.

 

Statements: I > W > T > N, I = F = G = C

 

Conclusions:    I. W > I                 

                         II. C > N

A) Only Conclusion I is true B) Only Conclusion II is true
C) Both conclusions I & II are true D) Neither conclusion I nor II is true
 
Answer & Explanation Answer: B) Only Conclusion II is true

Explanation:

From the given Statements : 

 1. I > W > T > N
 
 2. F = G = C
 

Conclusions are : 

 I. W > I (False)

 II. C > N (True)

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Q:

In the question below consists of a question and two statements numbered a and b given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer.

Question: In which year was Kalyan born ?
Statements:
a. Kalyan at present is 15 years younger to his mother.
b. Kalyan's brother, who was born in 1991, is 25 years younger to his mother.

 

A) b alone is sufficient while a alone is not sufficient B) a alone is sufficient while b alone is not sufficient
C) Both a and b are sufficient D) Neither a nor b is sufficient
 
Answer & Explanation Answer: C) Both a and b are sufficient

Explanation:

From both a and b, we find that Kalyan is (25 - 15) = 10 years older than his brother, who was born in 1991. So, Kalyan was born in 1981.

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Q:

In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b.

1.  5a2-18a+9=0

2.  3b2+5b-2=0

A) a >= b B) a <= b
C) a < b D) a > b
 
Answer & Explanation Answer: D) a > b

Explanation:

From solving 1 and 2 we get,

 

1.

5a(a-3)-3(a-3) = 0

 

(5a-3)(a-3) = 0

 

a = 3 or 3/5

 

2. 

 

3b(b+2)-1(b+2) = 0

 

b = -2 or b = 1/3

 

Here when a = 3, a > b for b = -2 and b = 1/3

 

when a = 3/5. a > b for b = -2 and b = 1/3.

 

Hence, it is clear that a > b. 

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Q:

In each question given below four conclusions are followed by statements. You have to take the three given statements to be true (even if they seem to be at variance from the commonly known facts). Read the conclusions and decide which of the following set of statement indicate that conclusion is logically follows.

Statements :
1. All chairs are tents.

2. No chairs is jugs.

3. No jugs is glasses.

4. No glasses is pots.

Conclusions :
I. All pots are tents.

II. All glasses are chair.

III. Some jugs are tents.

A) Only conclusion I follows B) Both conclusion II & III follows
C) None follows D) Only conclusion II follows
 
Answer & Explanation Answer: C) None follows

Explanation:
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Q:

Study the question and all the three statements given and decide whether any information provided in the statements are redundand and can be dispensed with while answering the questions.

Question : 

What is the rate of interest per year ?

Statements :

1. The amount invested is Rs. 6000.
2. The amount becomes Rs. 6741.60 in 2 years at compound interest.
3. The difference between compound interest and simple interest in 2 years is Rs. 21.60.

A) Only 3 B) Both 2 & 3
C) Any two of (1, 2 & 3) D) None
 
Answer & Explanation Answer: C) Any two of (1, 2 & 3)

Explanation:

Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.

Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.

Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.

Hence by using any two of the three statements(1,2&3) we get rate of interest.

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