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Reasoning (Level : Easy)

Description: Reasoning
Number of Questions: 15
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Tags: Logical Games Syllogisms Reasoning
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A certain musical scale consists of exactly six notes A, F, G, K, L, O. The notes are arranged from lowest to highest in the scale. Each note appears once and only once in the scale and the intervals between the notes are all equal. L is lower than O. F is higher than A. K is somewhere between A and F. G is the highest note of scale. If exactly two notes separate, A and K, then which of the following must be true?

  1. A is the lowest note

  2. O is the fifth note

  3. O is the higher than K

  4. L is somewhere between F and K

  5. O and L are sepertaed by exactly one note


Correct Option: A
Explanation:

L is lower than O L < A

F is the higher than A F > A 

K is somehwere between A and F A K F are in sequence 

G is the highest note G is at 6th not ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6 | |A|F|L|K|O|G|

If A is the lowest then only all the other conditions are satisfied. So, this must be true. 

Which of the following is the lowest note of the scale?

A certain musical scale consists of exactly six notes A, F, G, K, L, O. The notes are arranged from lowest to highest in the scale. Each note appears once and only once in the scale and the intervals between the notes are all equal. L is lower than O. F is higher than A. K is somewhere between A and F. G is the highest note of the scale.

  1. A

  2. O

  3. L

  4. K

  5. None of the above


Correct Option: A
Explanation:

G is the highest note

L is lower than O

L < O F is higher than A.

F > A

K is somewhere between A and F

F > K > A   The only possibility is    ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6 | |A|K|F|L|O|G|

A is the lowest note

So, this is correct choice

Which of the following cannot be true of the scale?

A certain musical scale consists of exactly six notes A, F, G, K, L, O. The notes are arranged from lowest to highest in the scale. Each note appears once and only once in the scale and the intervals between the notes are all equal. L is lower than O. F is higher than A. K is somewhere between A and F. G is the highest note of scale.

  1. G is the second note

  2. K is the third note

  3. G is the sixth note

  4. K is the second note

  5. F is the fourth note


Correct Option: A
Explanation:

G cannot be the second note
 

F is higher than A . F > A

K is somewhere between A and F. F > K > A   The only possibility is    ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6 | |A|K|F|L|O|G|

How many questions are to be answered?

In a question paper there are twelve questions out of which only six are to be answered. Six questions have one alternative each. Each question has four parts. Only three of which are to be answered.

  1. 10

  2. 18

  3. 20

  4. 14

  5. 12


Correct Option: B
Explanation:

Yes it's the correct choice. 

Six questions are to be solved out of twelve.

Each question has four parts and three of them are to be answered.

Therefore 6*3 = 18 questions are to be answered.

Which of the following could be the order in which the pieces are played?

A jazz group plans to play six songs during a show which are in the order of J, K, L, M, N, O. Each piece will be played exactly thrice. The order in which the pieces are to be played is subjected to the following conditions. N must be played before J and before O. M must be played later than J. K must be played third in piece.

  1. K L N O M J

  2. K O N J M L

  3. M J K O L N

  4. N L K J O M

  5. N O J M K L


Correct Option: D
Explanation:

Yes, it is the correct choice 

The sequence N L K J O M is the correct sequence

In the sequence M J K O L N

N is played before J and O; which doesn't satisfy the conditions

N must be played before J and before O

N J O 

M must be played later than J

N  J O M or N O  J M

K must be played third in piece  ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6| |N| L|K|J|O|M|

A certain musical scale consists of exactly six notes A, F, G, K, L, O. The notes are arranged from lowest to highest in the scale. Each note appears once and only once in the scale and the intervals between the notes are all equal. L is lower than O. F is higher than A. K is somewhere between A and F. G is the highest note of scale. If L is the second note, then F and K could be which of the following notes respectively?

  1. 4th and 5th

  2. 5th and 3rd

  3. 3rd and 4th

  4. 5th and 2nd

  5. Both 1, 2 and 3 are true


Correct Option: E
Explanation:

L is lower than O

L < A

F is higher than A

F > A

K is somehwere between A and F

A K F are in sequence

G is the highest note

G is at 6th note

Here are some possible sequences of the note ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6| |A|L|K|F|O|G| |A|L|K|O|F|G| |A|L|O|K|F|G|

F and K are at 3rd and 4th, 3rd and 5th notes, 4th and 5th notes

So options 1, 2, 3 are true

4th choice is not correct 

If L is played first, which song must be played second?

A jazz group plans to play six songs during a show which are in the order of J, K, L, M, N, O. Each song will be played exactly thrice. The order in which the songs are to be played is subjected to the following conditions. N must be played before J and before O. M must be played later than J. K must be played third..

  1. J

  2. K

  3. M

  4. N

  5. None of the above


Correct Option: D
Explanation:

This is correct choice

In the sequence M J K O L N

N is played before J and O which doesn't satisfy the conditions

N must be played before J and before O

N J O 

M must be played after J

N J O M or N O J M

K must be played the third in piece

One of the possibilities i ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6| |L| N|K|J|M|O|

Statements: Some boxes are secures. No Secure is a tentative. Some tentatives are equals. Conclusion: I. Some tentatives being boxes is a possibility. II. All secures being equals is a possibility.

Given are some statements followed by some conclusions. Carefully derive the conclusion from the statements disregarding commonly known facts.

  1. Conclusion I follows

  2. Conclusion II follows

  3. Either conclusion I or II follows

  4. Neither conclusion I nor II follows

  5. Both conclusions I and II follow


Correct Option: E
Explanation:

Yes it's correct choice.

Some boxes are secure (I) + No square is a triangle (E) = I + E = 0 = some boxes are not tentative.

Hence, possibility exists between triangles and boxes.

Thus, conclusion I follows.

Again, no square is a triangle (E) + some tentatives are equals (I) + E + I = O* = some equals are not secure.

Hence, conclusion II follows.  

Statements: All bananas are apples. Some whites are apples. All whites are ices. Conclusion: I. All ices being bananas is a possibility. II. At least some bananas are whites.

Given are some statements followed by some conclusions. Derive the conclusion from the statements disregarding commonly known facts.

  1. Conclusion I follows

  2. Conclusion 2 follows

  3. Either conclusion I or II follows.

  4. Neither conclusion I or II follows

  5. Both conclusions I and II follows


Correct Option: A
Explanation:

Yes, it's the correct choice.

All bananas are apples (A) + some whites are apples (I)

 A + I = No conclusion

Hence, conclusion II does not follow.

Again, some whites are apples conversion Some apples are whites

Some apples are whites (I) + all whites are ices (A)  I + A = I  Some apples are ices (I) implication is Some ices are apples.

Some ices are apples (I) + all bananas are apples = No conclusion Because middle terms are not common.

But possible relation exists between bananas and ices.

Thus, conclusion I follow.

Statements: All bananas are Apples. Some whites are Apples. All whites are Ices. Conclusion: I. Some Ices are Apples. II. All Whites being Apples is a possibility.

Some statements given below are followed by some conclusions. Carefully derive the conclusions from the statements disregarding commonly known facts.

  1. Conclusion I follows

  2. Conclusion II follows

  3. Either conclusion I or Conclusion II follows

  4. Neither conclusion I nor conclusion II follows

  5. Both conclusion I and conclusion II follows


Correct Option: E
Explanation:

Yes it's the correct choice .

Some whites are Apples (I) ---1  Conversion of 1 is, Some Apples are whites (Since I can be converted into itself) 

Some Apples are whites (I) + All whites are Ices (A)  I + A = I Some Apples are Ices. Hence, conclusion I follows.

But conclusion II exists from second statement i.e Some whites are Apples.

 

Which of the following must be true of the order in which the pieces are played?

A jazz group plans to play six songs during a show which are in the order of J, K, L, M, N, O. Each piece will be played exactly thrice. The order in which the pieces are to be played is subjected to the following conditions. N must be played before J and before O. M must be played later than J. K must be played third in piece.

  1. L is played after K

  2. M is played after N

  3. M is played second

  4. O is played after M

  5. O is played after J


Correct Option: B
Explanation:

Yes, it's correct choice    In the sequence M J K O L N; N is played before J and O which doesn't satisfy the conditions

N must be played before J and before O

N J O 

M must be played later than J

N J O M or N O J M

K must be played third in piece

One of the possibilities i ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6| |N| L|K|J|O|M|

L is played before K   ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6| |N|L|K|J|M|O| |N|J|K|L|M|O|

In every possibility M is played after N

So, this must be true 

So, in the second possibility L is played before K

This is not a true condition  

A certain musical scale consists of exactly six notes A, F, G, K, L, O. The notes are arranged from lowest to highest in the scale. Each note appears once and only once in the scale and the intervals between the notes are all equal. L is lower than O. F is higher than A. K is somewhere between A and F. G is the highest note of scale. If A and K are separated by exactly one note which of the following must be true?

  1. F is the fourth note

  2. O is the fifth note

  3. L is lower than K

  4. K is lower than O

  5. L is between A and K


Correct Option: C
Explanation:

Start by assuming A is the lowest note on the scale and that K is therefore the 3rd note

F has two possibilities    ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6| |A| |K| |F|G| |A| |K|F| |G|

L and O can be placed in two positions with O > L  | |A|L|K|F|O|G|

This is a must condition in any sequence, L is lower than K    

How many questions are there in the question paper?

In a question paper there are twelve questions, out of which only six are to be answered, six questions have one alternative each. Each question has four parts only three of which are to be answered.

  1. 24

  2. 48

  3. 72

  4. 96

  5. 36


Correct Option: C
Explanation:

Yes, it's the correct choice.

There are 12 questions
In them 6 questions have one alternative each, means there are two questions. So, total 12 questions, remaining 6 questions have no alternative. Only 6 questions are there. Total 12 + 6 questions means there are 18 are questions. Each question has 4 parts. 18 * 4 = 72 questions.

All the songs could be played immediately after K except one. What is that song?

A jazz group plans to play six songs during a show which are in the order of J, K, L, M, N, O. Each song will be played exactly thrice. The order in which the songs are to be played is subjected to the following conditions. N must be played before J and before O. M must be played later than J. K must be played third..

  1. J

  2. L

  3. M

  4. N

  5. O


Correct Option: D
Explanation:

Yes, it's correct choice

In the sequence M J K O L N

N is played before J and O which doesn't satisfy the conditions

N must be played before J and before O

N J O 

M must be played later than J

N J O M or N O J M

K must be played third in piece 

One of the possibilities is ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6| |N| L|K|J|O|M|

N is played before K   ||||||| |---|---|---|---|---|---| |1|2|3|4|5|6| |N|L|K|J|M|O| |N|J|K|L|M|O|

So, N can't  be played after K. It should be played before K .

Statements: Some boxes are secures.
No Secure is a tentative. Some tentative are equals. Conclusion: I. All secure being tentative is a possibility. II. All boxes being tentative is a possibility.

Given are some statements followed by some conclusions. Carefully derive the conclusion from the statements disregarding commonly known facts.

  1. Conclusion I follows

  2. Conclusion II follows

  3. Either Conclusion I or II follows

  4. Neither conclusion I nor II follow

  5. Both conclusion I and conclusion II follow


Correct Option: D
Explanation:

Correct choice 

Both conclusions don't follow 

Some boxes are secure (I) + No secure is a tentative (E) + I + E = O = some boxes are not tentative.

Hence, conclusion II does not follow.

Again, conclusion I does not follow because second statement is a negative premise.

So, possibility does not exist.

 

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