Aptitude and Reasoning Questions

Q:

What is the value of (sin45 - √3) ?

 

A) (1-√6)/√2   B) (4-√3)/2√3  
C) -1/2√3   D) (2-√3)/2√3
 
Answer & Explanation Answer: A) (1-√6)/√2  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 68039
Q:

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

A) 720 B) 520
C) 700 D) 750
 
Answer & Explanation Answer: A) 720

Explanation:

The word 'LEADING' has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

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84 67861
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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0 67833
Q:

In each of these questions, two equations (I) and (II) are given.

I. 2x2+19x+42 = 0II. 4y2+43y+30 = 0

A)  x > y B) x < y
C)  x ≥ y D) x ≤ y
 
Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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2 67829
Q:

What is the value of (√2/3 - cosec60)?

 

A) (√6-6)/3√3 B) (2-2√3)/√3  
C) (1-√6)/√2   D) (4-√3)/2√3
 
Answer & Explanation Answer: A) (√6-6)/3√3

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If "A" means "subtraction", "B" means "division", "C" means "addition" and "D" means "multiplication", then

 

294 B 7 A 40 C 33 D 11 = ?

 

A) 369 B) 365
C) 368 D) 363
 
Answer & Explanation Answer: B) 365

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

2 67780
Q:

A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:

A) Rs.180 B) Rs.120
C) Rs.480 D) data insufficient
 
Answer & Explanation Answer: B) Rs.120

Explanation:

Commission up to 10000 = 10000x9100 = 900 

 

Again after 10000, 

 

              Commission    :   Bonus 

                           9       :   3 

                         3x        :   x

 

 Therefore,   Bonus = 1380-900×14 = Rs. 120

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Filed Under: Percentage
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

247 67606
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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