CAT Practice Test: Week 14 - CAT MCQ

Find the equation of the straight line passing through the point (-2, -3) and perpendicular to the line passing through (-2, 3) and (-5, -6).

The lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 are perpendicular to each other if

Find the coordinates of the point which divides P₁(1, -4) and P₂(4, 2) externally in the ratio 1 : 4.

The vertices of a triangle are at (0, 0), (8, 0) and (0, 14). The orthocentre of the triangle is at

If A (a, 0) and B (3a, 0) are the vertices of an equilateral triangle ABC, then what are the coordinates of C?

The equation of the straight line which passes through the point (3, 4) and makes an intercept on the y-axis twice as long as that on the x-axis is

The value of k for which the circles x² + y² - 3x + ky - 5 = 0 and 4x² + 4y² - 12x - y - 9 = 0 become concentric is  

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: Some actors are singers. All the singers are dancers.

Conclusions:

1. Some actors are dancers.
2. No singer is actor.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: All the harmoniums are instruments. All the instruments are flutes.

Conclusions:

1. All the flutes are instruments.
2. All the harmoniums are flutes.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: Some mangoes are yellow. Some tixo are mangoes.

Conclusions:

1. Some mangoes are green.
2. Tixo is a yellow.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: Some papers are pens. All the pencils are pens.

Conclusions:

1. Some pens are pencils.
2. Some pens are papers.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: Some ants are parrots. All the parrots are apples.

Conclusions:

1. All the apples are parrots.
2. Some ants are apples.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: All the actors are girls. All the girls are beautiful.

Conclusions:

1. All the actors are beautiful.
2. Some girls are actors.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: All the windows are doors. No door is a wall.

Conclusions:

1. Some windows are walls.
2. No wall is a door.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: All cups are books. All books are shirts.

Conclusions:

1. Some cups are not shirts.
2. Some shirts are cups.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: Some cows are crows. Some crows are elephants.

Conclusions:

1. Some cows are elephants.
2. All crows are elephants.

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

• (A) If only (1) conclusion follows
• (B) If sonly (2) conclusion follows
• (C) If either (1) or (2) follows
• (D) If neither (1) nor (2) follows and
• (E) If both (1) and (2) follow.

Question -

Statements: All the pencils are pens. All the pens are inks.

Conclusions:

1. All the pencils are inks.
2. Some inks are pencils.

Directions: In the following question an incomplete statement is provided. You have to select the option which most logically completes the idea in the question statement.

Entrepreneurs are never satisfied with the status quo; they are intent on shaping the future, rather than being shaped by it. As one Chief Executive once said

Directions: In the following question an incomplete statement is provided. You have to select the option which most logically completes the idea in the question statement.

Furthermore, to be radical means to be ready and willing to break with the predominant cultural, political and social beliefs and values in order to

Directions: In the following question an incomplete statement is provided. You have to select the option which most logically completes the idea in the question statement.

Spartan tendencies and a stoic approach to life's mysteries and hardships

Directions: The question has a set of six statements (A to F) given below, there follow five sets of combinations of three. Choose the set in which the statements are logically related.
A. Some schools charge hefty fees.
B. All tutorials charge hefty fees.
C. No school charges hefty fees.
D. All schools charges hefty fees.
E. No tutorial is a school.
F. All tutorials are also schools.

Directions: The question below shows a set of four statements, followed by some answer options to categorise these statements as facts, inferences and judgements. Consider the statements and decide which of the choices is true.
F: Fact: If it relates to a known matter of direct observation, or an existing reality or something known to be true.
J: Judgement: If it is an opinion or estimate or anticipation of common sense or intention.
I: Inference: If it is a logical conclusion or deduction about something, based on the knowledge of facts.

1. Mr. Krishna Menon, a popular minister of Nehru era, remained a mystery to the historians and the journalists; he was dubbed as an 'intriguer' as his letters were intercepted, and his phone was subjected to checks.
2. Mr. Menon was a frequent visitor to the offices of the Communist Party in London, had connections with the communist leaders like Harry Pollit and Ted Bramley. But he was not a communist and Mr. Nehru knew his psychological flaws; controversial financial dealings; leftist associations; and a succession of love affairs.
3. After Independence, M15, the British Security Agency, discovered that Mr. Menon continued employment of several communists in the Indian High Commission. The M15 found that some workers were passing the secret information to the Communist Party but his pro-communist stance was not confirmed.
4. The M15 complained to Mr. Nehru but Nehru's relationship with Mr. Menon was a political compulsion.

Directions: From the alternatives, choose the one which correctly classifies the four sentences as a fact, a judgement, or/and an inference.
F: Fact: If it relates to a known matter of direct observation, or an existing reality or something known to be true
J: Judgement: If it is an opinion or estimate or anticipation of common sense or intention
I: Inference: If it is a logical conclusion or deduction about something, based on the knowledge of facts

1. The gruesome episode of Nandigram has compelled the Central government to review its SEZ policy and to scrap the ceiling; the states have been directed to buy land from the farmers at the floor rate.
2. In specifying the floor rate, the state government will be a mere facilitator in the land acquisition process.
3. Over the years, corporates and industrialists have been paying low rates for the land that commands greater market value and this has resulted into the Nandigram catastrophe.
4. Floor rate in the eastern region is just Rs. 5 lakh per acre, whereas it is Rs. 20 lakh in Haryana.

Directions: The statement below is followed by five others. Select the one which most complements the idea contained in the given statement.

If the society is organised as a political entity, elections and other political processes will tend to exacerbate conflict;

Directions: The statement below is followed by five others. Select the one which most complements the idea contained in the given statement.

Since children are less convenient to manipulate than guinea pigs, _________.

Directions: The statement below is followed by five others. Select the one which most complements the idea contained in the given statement.

The illusion that times that were are better than those that are _________.

Directions: The statement below is followed by five others. Select the one which most complements the idea contained in the given statement.

Since they first became part of living room furniture, television remote controls have become the advertiser's scourge. Some analysts reckon that _________.