Aptitude and Reasoning Questions

Q:

Select the option that can replace the '?' symbol in the following equation.

 

122 + 345 - 1 x 1011 ÷ 337 = ?

 

A) 446 B) 644
C) 460 D) 464
 
Answer & Explanation Answer: D) 464

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

0 61865
Q:

Simplify

39.96% of 649.85 ÷13.07 = 45.14 - ?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

Explanation:

This can be easily simplified by Approximation process

Given 39.96% of 649.85 ÷13.07 = 45.14 - ? can be written as 

40% of 650 ÷13 = 45 - ?

 

40 x 65010013 = 45 - ?? = 45 - 20? = 25.

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4 61856
Q:

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A) 1/3 B) 3/5
C) 8/21 D) 7/21
 
Answer & Explanation Answer: A) 1/3

Explanation:

Total number of balls = (8 + 7 + 6) = 21.

Let E = event that the ball drawn is neither red nor green 

            = event that the ball drawn is blue.

n(E) = 7.

P(E) = n(E)/n(S) = 7/21 = 1/3.

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Filed Under: Probability

77 61822
Q:

In a family, there are six members A, B, C, D, E and F. 

A and B are a married couple, A being the male member. D is the only son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died. 

How many male members are there in the family ? 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

A is a male and married to B. So, A is the husband and B is the wife. C is the brother of A. D is the son of C. E, who is the sister of D will be the daughter of C. B is the daughter-in-law of F whose husband has died means F is the mother of A. 

A is a male. B. the wife, is female. C. the brother, is male. D. the son, is male. E, the sister, is female. F, the mother, is a female. So, there are three males. 

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Filed Under: Blood Relations

48 61792
Q:

How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a time, such that the four vowels do not come together?

A) 216 B) 45360
C) 1260 D) 43200
 
Answer & Explanation Answer: D) 43200

Explanation:

There are total 9 letters in the word COMMITTEE in which there are 2M's, 2T's, 2E's.

The number of ways in which 9 letters can be arranged = 9!2!×2!×2! = 45360

 

There are 4 vowels O,I,E,E in the given word. If the four vowels always come together, taking them as one letter we have to arrange 5 + 1 = 6 letters which include 2Ms and 2Ts and this be done in 6!2!×2! = 180 ways.

 

In which of 180 ways, the 4 vowels O,I,E,E remaining together can be arranged in 4!2! = 12 ways.

 

The number of ways in which the four vowels always come together = 180 x 12 = 2160.

 

Hence, the required number of ways in which the four vowels do not come together = 45360 - 2160 = 43200

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61 61665
Q:

Directions: What value should come in place of question mark (?) in the following question?

150% of 460+24% of 650=?

A) 854 B) 846
C) 895 D) 825
 
Answer & Explanation Answer: B) 846

Explanation:

(150 x 460)/100 + (24 x 650)/100

= 690+156

= 846

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , GATE

0 61508
Q:

Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?

A) 3864 B) 4903
C) 5849 D) 6789
 
Answer & Explanation Answer: A) 3864

Explanation:

Saving  = 50% of (100 - 40)% of (100 - 30)% of Rs. 18,400 = Rs. (50/100 * 60/100 * 70/100 * 18400) = Rs. 3864.

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Filed Under: Percentage

282 61477
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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25 61443