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 Verbal Reasoning - Logical Deduction Questions

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Q:

What is the first term of an arithmetic progression of positive integers ?

(I) Sum of the squares of the first and the second term is 116.

(II)The fifth term is divisible by 7.

A) Only a is sufficient B) Only b is sufficient
C) Both a & b are necessary D) None
 
Answer & Explanation Answer: A) Only a is sufficient

Explanation:

The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116
again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st term
so the 1st term is 4,
but from the 2nd we cant able to find the 1st term

so only 1st statement is sufficient to answer the question

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2 50417
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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4 48310
Q:

Statement :

The byproducts obtained from animals such as hairs, skins, horns, etc. contain at least 45 per cent food protein. Indian scientists have developed methods to segregate 50 per cent of this protein. They have used an enzyme developed in Russia for destruction of soya-proteins.

Conclusions:

A. Indian scientists cannot develop enzymes.

B. If a suitable method involving less cost is developed then many more food protein would be obtained.

A) Only A follows B) Only B follows
C) Neither A nor B follows D) Both A & B follows
 
Answer & Explanation Answer: C) Neither A nor B follows

Explanation:

There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes.

So conclusion A does not follow.

In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins.

Thus, conclusion B does not follow either.

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4 47274
Q:

Statements :
All keys are locks.
All locks are bangles.
All bangles are cars.


Conclusion :
a. Some cars are locks.
b. Some bangles are keys.
c. Some cars are keys.

A) Only a follows B) Only c follows
C) Only a & b follows D) a, b & c follows
 
Answer & Explanation Answer: D) a, b & c follows

Explanation:

All locks are bangles + All bangles are cars = A + A = A
= All locks are cars => Some cars are locks.
Hence conclusion (a) follows.
All keys are locks + All locks are bangles = A + A = A
= All keys are bangles => some bangles are keys.
Hence conclusion (b) follows.
All keys are bangles + All bangles are cars = A + A = A
= All keys are cars => Some cars are keys.
Hence conclusion (C) follows.

 

 

 

Thus all a, b and c follows.

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4 45143
Q:

Statements followed by some conclusions are given below.

 

Statements :

 

1. Some electricians are plumbers.

2. All plumbers are mechanics.

 

Conclusions :

 

I. Some mechanics are electricians or plumbers.

II. Not all electricians are mechanics.

 

Find which of the given conclusions logically follows from the given statements.

 

A) Only conclusion I follows B) Only conclusion II follows
C) Both I and II follow D) Neither I nor II follows
 
Answer & Explanation Answer: C) Both I and II follow

Explanation:
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7 34549
Q:

Statements followed by some conclusions are given below.

 

Statements :

 

1. Some football players are cricketers.

2. All hockey players love football though some are cricketers.

 

Conclusions :

 

I. Some hockey players who are cricketers play football too.

II. There is at the most one cricketer who plays football and hockey.

 

Find which of the given conclusions logically follows from the given statements.

 

A) Only conclusion I follows B) Only conclusion II follows
C) Both I and II follow D) Neither I nor II follows
 
Answer & Explanation Answer: D) Neither I nor II follows

Explanation:
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6 32816
Q:

I.  Tanya is older than Eric.

II. Cliff is older than Tanya.

III.Eric is older than Cliff.

If the first two statements are true, the third statement is

A) true B) false
C) uncertain D) none
 
Answer & Explanation Answer: B) false

Explanation:

Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false

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59 31022
Q:

Statements followed by some conclusions are given below.

 

Statements :

 

1. X is 7 meters tall, Y is half as high and Z is 3 times the height of X.

2. P is taller than Z but shorter than A and B.

 

Conclusions :

 

I. B s the tallest of all.

II. The average height of X, Y and Z is less than 10 meters.

 

Find which of the given conclusions logically follows from the given statements.

 

A) Only conclusion I follows B) Only conclusion II follows
C) Both I and II follow D) Neither I nor II follows
 
Answer & Explanation Answer: D) Neither I nor II follows

Explanation:
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