Aptitude and Reasoning Questions

Q:

Suppose 0 < θ < 90, then for every θ 4 sin2 θ + 1 is greater than or equal to ?

 

A) 2 B) 4 sin θ 
C) 4 cos θ  D) 4 tan θ
 
Answer & Explanation Answer: B) 4 sin θ 

Explanation:
We know that,
Arithmetic mean ≥ Geometric mean
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Q:

Which of the following statement(s) is/are true?

I. (65)1/6 > (17)1/4 > (12)1/3  II. (17)1/4 > (65)1/6 > (12)1/3   III. (12)1/3 > (17)1/4 > (65)1/6

A) Only I B) Only III
C) Only II D) None of these
 
Answer & Explanation Answer: B) Only III

Explanation:
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Q:

Some tapes are discs. Some discs are cassettes. Some cassettes are songs

Conclusions:

1. Some songs are discs

2. Some cassettes are tapes

3. Some songs are tapes

4. No song is a disc

A) Only either 1 or 4 follows B) Only either 2 or 4 follows
C) Only 3 and 4 follow D) Only 3 and either 2 or 4 follows
 
Answer & Explanation Answer: A) Only either 1 or 4 follows

Explanation:

Since each combiantion of premise contain 2 particular premises, no definite conclusion can be drawn. However, 1 and 4 involve the extreme terms of 2nd and 3rd premises and form a complementary pair. Thus either 1 or 4 follows.

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Q:

Biped : Quadruped :: Ostrich : ?

A) Cat B) Kangaroo
C) Penguin D) Duck
 
Answer & Explanation Answer: A) Cat

Explanation:

A biped is an animal that uses two legs for walking and the quadrupeds are animals that use four legs for walking.

 

From the Given options, Cat only have 4 legs.

 

So Biped : Quadruped :: Ostrich : Cat.

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172 77701
Q:

 In the following question, select the related letter/letters from the given alternatives.

 

HER : SVI : : MET  :  ?

 

A) AVT B) RKG
C) NVG D) LVA
 
Answer & Explanation Answer: C) NVG

Explanation:
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Q:

Find the next number in the following number series?

11, 13, 30, 96, ?

A) 264 B) 392
C) 412 D) 459
 
Answer & Explanation Answer: B) 392

Explanation:

The given number series 11, 13, 30, 96, ? follows a pattern that,

11

11 x 1 + 2 = 13

13 x 2 + 4 = 30

30 x 3 + 6 = 96

96 x 4 + 8 = 392

 

Hence, the next number in the given series is 392.

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6 77604
Q:

Compute of 29292 x 9999 = ?

 

 

A) 222890708  B) 298290708 
C) 292809708  D) 292890708
 
Answer & Explanation Answer: D) 292890708

Explanation:
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Q:

All snakes are trees. Some trees are roads. All roads are mountains.

Conclusions: 

1. Some mountains are snakes

2. Some roads are snakes

3. Some mountains are trees

A) Only 1 follows B) Only 2 follows
C) Only 3 follows D) Both 1 and 2 follow
 
Answer & Explanation Answer: C) Only 3 follows

Explanation:

All snakes are trees. Some trees are roads.

Since the middle term is not distributed even once in the premises,so no conclusion follows

 

Some trees are roads. All roads are mountains

Since one primise is particular,the conclusion must be particularand should'nt contain the middle term. So,it follows that 'Some trees are mountains'. 3 is the converse of this statement and so it holds.

 

All snakes are trees. Some trees are mountains.

Since the middle term is not distributed even once in the preises, so no definite conclusion follows

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