Examine the following statements:
1. None but students are members are a member of the club.
2. Some members of the club are married persons.
3. All married persons are invited for dance.
Which one of the following conclusions can be drawn from the above statements?
All students are invited for dance.
All married students of the club are invited for dance.
All members of the club are married persons.
None of the above conclusions can be drawn.
This problem involves deductive reasoning based on a series of categorical statements. We need to analyze each statement and combine the information to determine what conclusions logically follow. Venn diagrams or symbolic logic can be used to visualize the relationships.
Correct Option: B) All married students of the club are invited for dance.
Four political parties W, X, Y and Z decided to set up a joint candidate for the coming parliamentary elections. The formula agreed by them was the acceptance of a candidate by most of the parties. Four aspiring candidates, A, B, C and D approached the parties for their tickets.
A was acceptable to W but not to Z.
B was acceptable to Y but not to X.
C was acceptable to W and Y.
D was acceptable to W and X.
When candidate B was preferred by W and Z, candidate C was preferred by X and Z, and candidate A was acceptable to X but not to Y; who got the ticket?
The problem requires us to determine which candidate received the most support from the four political parties (W, X, Y, Z) based on a series of conditions. The rule for getting the ticket is acceptance by the majority of parties. We need to track the preferences of each party for each candidate.
| Candidate | W | X | Y | Z | Total Acceptances |
|---|---|---|---|---|---|
| A | Yes (from 1st condition) | Yes (from 3rd new condition) | No (from 3rd new condition) | No (from 1st condition) | 2 |
| B | Yes (from 1st new condition) | No (from 2nd condition) | Yes (from 2nd condition) | Yes (from 1st new condition) | 3 |
| C | Yes (from 3rd condition) | Yes (from 2nd new condition) | Yes (from 3rd condition) | Yes (from 2nd new condition) | 4 |
| D | Yes (from 4th condition) | Yes (from 4th condition) | ? | ? | 2 (minimum) |
C) Candidate C is accepted by all four parties (W, X, Y, Z), which is the most among all candidates. Therefore, C gets the ticket.
Consider the following statements:
1. All X-brand cars parked here are white.
2. Some of them have radial tyres.
3. All X-brand cars manufactured after 1986 have radical tyres.
4. All cars are not X-brand.
Which of the following conclusions can be drawn from the above statements?
only white cars are parked here.
Some white X-brand cars with radial tyres are parked here.
Cars other than X-brand cannot have radical tyres.
Most of the X-brand cars are manufactured before 1986.
This problem requires us to draw logical conclusions from a set of given statements. We need to analyze each statement and see which option logically follows from the combined information.
B) Some white X-brand cars with radial tyres are parked here. This conclusion directly follows from combining statement 1 ("All X-brand cars parked here are white") and statement 2 ("Some of them [referring to X-brand cars parked here] have radial tyres"). If some X-brand cars parked here have radial tyres, and all X-brand cars parked here are white, then it logically follows that some white X-brand cars with radial tyres are parked here.
Consider the following statement:
The Third World War, if it ever starts, will end very quickly with the possible end of civilization. It is only the misuse of nuclear power which will trigger it.
Based on the above statement, which one of the following inferences is correct?
Nuclear power will be used in the Third World War.
There will be no civilization left after the Third World War.
The growth of nuclear power will destroy civilization in the long run.
The Third World War will not take place.
The question asks for a correct inference based on the given statement. We need to carefully analyze the statement and determine what can be logically concluded from it, avoiding assumptions not explicitly supported by the text.
A) Nuclear power will be used in the Third World War. This is a direct and logical inference. The statement explicitly says, "It is only the misuse of nuclear power which will trigger it." If the Third World War starts, it must be triggered by the misuse of nuclear power, implying its use in the war.
The element of the problem figures given below are changing with a certain rule as we observe them left to right: 
According to this rule, which of the following would be the next, figure if the changes were continued with the same rule?
The problem involves identifying the pattern of changes in the sequence of figures and predicting the next figure in the sequence. Each figure consists of a triangle and a line inside a rectangle, and we need to determine how these elements change from one figure to the next.
Correct Option: D) The triangle points left, and the line is horizontal.
Consider the following information regarding the performance of a class of 1000 students in four different tests:
If a student scores 74 marks in total of a sub of the four tests, in which one of the following tests is her performance the best comparatively?
To determine in which test the student's performance is comparatively the best, we need to consider the student's score relative to the average and range of scores for each test.
Correct Option: B) Test II
Six squares are coloured, front and back red(R ), blue(B) , Yellow(Y), green(G ), White(W ) and orange(O) and are binged together as shown in the figure given below. If they are folded to form a cube, what would be the face opposite the white face?
To determine which face is opposite the white face when the squares are folded into a cube, we need to analyze the net of the cube and understand the spatial relationships between the squares.
Correct Option: C) B
In the above figure, circle P represents hardworking people, circle Q represents intelligent people, circle R represents truthful people, and circle S represents honest people, Which region represents the people who are intelligent, honest and truthful but not hardworking?
We need to identify the region representing people who are intelligent, honest, and truthful, but not hardworking. This involves analyzing the Venn diagram where each circle represents a different attribute.
Correct Option: A) 6
Three views of a cube following a particular motion are given below: 
What is the letter opposite to A?
To find the letter opposite to 'A' on the cube, we need to analyze the given views of the cube and determine the spatial relationships between the visible faces.
Correct Option: A) H
Which one of the figures shown below occupies the blank space(?) in the matrix given above?
The problem involves identifying the pattern in the matrix of figures and selecting the correct figure that completes the sequence.
Correct Option: D) The top-left quadrant is shaded, which matches the expected pattern.
