# NTA-NET (UGC-NET) Paper-I (in English) Video Course Lecture: Logic Problems: Verification of Truth, Factual Statements, Logic Games (31 mins) | Lecture 79 of 133

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## Topics Covered

• Logical Reasoning » Based on Assumptions

## Verification of Truth

Q. All the offices on 6th floor have wall-to-wall carpeting & no wall-to-wall carpeting is red. None of the offices on 6th floor has red wall-to-wall carpeting. If the first two statements are true, 3rd statement is

A. Truth

B. False

C. Uncertain

Q. Triplets are born, β weighs more than γ. γ weighs less than δ. Of the 3 babies, δ weighs most. If 1st two statements are true, the 3rd statement is

A. Truth

B. False

C. Uncertain

Q. δ runs faster than α. γ runs faster than δ. α runs faster than γ. If first two statements are true, 3rd statement is

A. Truth

B. False

C. Uncertain

Q. Store Y has a better selection of postcards than newsstand does. Selection of postcards at store X is better than at the store Y. Store X has a better selection of postcards than store Y or the news-stand. If first two statements are true, then 3rd statement is

A. Truth

B. False

C. Uncertain

Q. 3 pencils cost same as 2 erasers. 4 erasers cost the same as 1 ruler. Pencils are more costly than rulers. If first two statements are true, 3rd statement is

A. Truth

B. False

C. Uncertain

## Factual Statements

Q. α has four children. Two of the children have blue eyes and two of the children have brown eyes. Half of the children are girls. If the given statements are facts, which among the following statements must also be a fact?

1. At least one girl has blue eyes.

2.2 children are boys.

3. Boys have brown eyes.

A. 2 only

B. 1 & 3 only

C. 2 & 3 only

D. None is fact

Q. Pictures can tell a story. All storybooks have pictures. Some storybooks have words. If the given statements are facts, which among the following statements must also be a fact?

1. Pictures can tell a story better than words can.

2. The stories in storybooks are very simple.

3. Some storybooks have both words and pictures.

A. 1 only B. 2 only

C. 3 only D. No statement is a known fact.

Q. Islands are surrounded by water. Maui is an island. Maui was formed by a volcano. If the given statements are facts, which among the following statements must also be a fact?

1. Maui is surrounded by water.

2. All islands are made by volcanoes.

3. All volcanoes are on islands.

A. 1 only

B. 3 only

C. 1 & 2 only

D. No statement is a known fact.

Q. All dogs like to run. Some dogs like to swim. Some dogs look like their masters. If the given statements are facts, which among the following statements must also be a fact?

1. All dogs who like to swim look like their masters.

2. Dogs who like to swim also like to run.

3. Dogs who like to run do not look like their masters.

A. 1 only

B. 2 only

C. 2 & 3 only

D. No statement is a known fact.

## Logic Games

With how many assistants can an explorer make a 6 day crossing on foot of desert, if he and available assistants are each able to carry only enough food and water to last one man 4 days?

A. 4 assistants

B. 2 assistants

C. 3 assistants

D. 5 assistants

Q. 3 customers want haircut and a shave & in salon, 2 barbers operate at same speed. They take 15 minutes for haircut and 5 minutes for shave. How quickly can they finish the haircut and shave of these three customers?

A. 30 min

B. 20 min

C. 40 min

D. 50 min

Q. 4 friends in 6th grade were sharing pizza & they decided that oldest friend would get the extra piece. α is 2 months older than β, who is 3 months younger than γ. δ is one month older than β. Who should get the extra piece of pizza?

A. α

B. β

C. γ

D. δ

Q. In 4-day period, Monday to Thursday, each of the following temporary office workers worked only one day, each a different day. J was scheduled to work on Monday, but she traded with C, who was originally scheduled to work on Wednesday. F traded with K, who was originally scheduled to work on Thursday. After all the switching was done, who worked on Tuesday?

A. C

B. F

C. J

D. K

Q. A × B means A and B are of same age. A – B means B is younger than A. A + B means A is younger than B. Based on this, solve the questions below:

I. α × β – γ means

A. γ is youngest

B. γ is the oldest

C. β is younger to γ

D. None of these

Q. A and B are having a conversation, A says I am certainly not over 40 but B says I am 38 and you are at least 5 years older than me & then A says you are at least 39. All the statements by the two are false. How old are they really?

A. B = 38 years, A = 31 years

B. B = 38 years, A = 41 years

C. B = 38 years, A = 43 years

D. B = 45 years, A = 41 years

Q. 2 trains travel towards equator, train A travels in direction of earth՚s spin while other train B travels opposite to direction of earth՚s spin. Wheels of which train will wear first?

A. Train B

B. Together

C. Train A

D. Data Insufficient

Q α butterfly is only found in Asian countries, including India, Thailand, Japan, Malaysia and Cambodia and in areas of non-forested South American countries, including Brazil, Argentina, Chile and Peru. It is very rare in Brazil, where it has black, elongated wings, whilst in Asia the wings are much shorter and colored orange. In Chile, they have only red wings, though these retain the characteristic South American shape.

I. In which country is the butterfly unlikely to have elongated wings?

A. Mexico

B. Chile

C. India

D. Cannot say

Q. 4 criminals caught needs to be punished. Judge allows them to be freed if they can solve a puzzle. If they don՚t, they will be hung. They agreed. 4 criminals are lined up on some steps as given below & all face in same direction. Wall separates 4th man from the other 3 men. In summary, man 1 sees men 2 and 3. Man 2 sees man 3. Man 3 sees none of the others. Man 4 sees none of the others. Criminals were hats. They are told that there are 2 white hats & 2 black hats & initially what color hat they are wearing is not known to them. They are asked to shout the color of hat, they assume they have worn as soon as they get to know the color.

They are not allowed to turn round or move & not allowed to talk to each other. They are not allowed to take their hats off. Who is the first person to shout out?

A. Man 1 or Man 2

B. Man 2 or Man 3

C. Man 3 or Man 4

D. Man 4 or Man 1