# Statement and Conclusions Questions

Q:

Some blades are hammers. Some hammers are knives. Some knives are axes.

Conclusions:

1. Some axes are hammers

 A) None follows B) Only 1 follows C) Only 2 follows D) Only 3 follows

Explanation:

Since each combination has of premises has 2 particular premises, so no defenite conclusion follows

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Q:

Some hills are rivers. Some rivers are desrets. All desrets are roads.

Conclusions:

3. Some deserts are hills

 A) None follows B) Only 1 follows C) Only 1 and 2 follows D) All follow

Explanation:

Some hills are  rivers. Some rivers are deserts.

Since both the premises are particular, no defenite conclusion follows.

Some rivers are deserts. All deserts are roads

Since one premise is particular,the conclusion must be particular and should'nt contain the middle term. Since it follows that 'Some rivers are roads'. 1 is the converse of this conclusion and so it holds.

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Q:

Some blankets are beds. Some pillows are blankets. All beds are pillows

Conclusions:

1. Some blankets are pillows

2. Some pillows are beds

3. Some beds are blankets

 A) Only either 1 or 2 follows B) Only 1 and either 2 or 3 follows C) Only 3 and either 1 or 2 follows D) All 1 ,2 and 3 follow

Explanation:

1 is the converse of 2nd premise,2 is the converse of 3rd premiseand 3 is the converse of 1st premise and such, all the 3 follow

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Q:

Some envelops are gums. Some gums are seals. Some seals are adhesives.

Conclusions:

1. Some envelops are seals

 A) Only 3 B) Only 1 C) Only 2 D) Only 4

Explanation:

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Q:

Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.

If the first three statements are facts, which of the following statements must also be a fact?
I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.

 A) I only B) II only C) I, II, and III D) None of the statements is a fact.

Answer & Explanation Answer: D) None of the statements is a fact.

Explanation:

All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III—but it doesn’t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.

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Q:

Question :

In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?

Statements :

a. The captain is eleven years older than the youngest player.

b. The average age of 10 players, other than the captain is 27.3 years.

c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

 A) All a,b and c follows B) Only a and c follows C) Either b alone or a & b follows D) None

Answer & Explanation Answer: C) Either b alone or a & b follows

Explanation:

From statement (b)
Average of 11 players = 11 x 28 = 308
Average of 10 players = 10 x 27.3 = 273
Age of captain = 308 - 273 = 35.

From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers age
From the statement (c),the averge age of 3groups of 3players each was given,
It means total 9 players age was given indirectly,
1st group: 25 x 3 = 75
2nd group: 28 x 3 = 84
3rd group: 30 x 3 = 90
Total  is 75 + 84 + 90 = 249
Now {C + Y + (9 players age sum)}/11 = 28
Y + 11 + Y + (249) = 28 x 11=308
2Y+260=308
2Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35

Therefore, statement b alone or a & c only is the answer.

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Q:

What is the value of KL ?

Statement A: $K2$= 4.
Statement B: L = 0.

 A) Only A is sufficient B) Only B is sufficient C) Both (A) and (B) are sufficient D) None of the above

Explanation:

From statement B,

As the value of L = 0, the value of KL = 0.

Hence only statement B is sufficient.

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Q:

Q : Which train did Harish catch to go to office ?

Statements :

A. Harish missed his usual train of 4.15 p.m. A train comes in every 15 minutes.

B. Harish did not catch the 4.45 p.m. train or any train after that time.

 A) If statement B alone is sufficient but statement A alone is not sufficient. B) If statement A alone is sufficient but statement B alone is not sufficient. C) If both statement together are sufficient, but neither statement alone is sufficient. D) If statement A and B together are not sufficient.

Answer & Explanation Answer: D) If statement A and B together are not sufficient.

Explanation:

From both statements we cannot conclude the train catched by Harish

Since he missed at 4.15 and train coes at 4.30, 4.45, 5.00,...

But in B given that he didn't catch the train at 4.45 and after that.

So both statements A & B together are not sufficient to answer the question.