Aptitude and Reasoning Questions

Q:

6 divided by 2(1 + 2) =

A) 1 B) 0
C) 9 D) Can't be determined
 
Answer & Explanation Answer: C) 9

Explanation:

The given expression can be simplified as

÷ 2 (1 + 2)

The expression can be simplified further by the order of operations, using BODMAS rule.

 

First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.

 

Now, the expression becomes ÷ 2 (3)

 

According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 6 and divide it by 2, and then multiply by 3.

6 ÷ 2 × 3

= 3 × 3

= 9

But not  6÷2×3 = 6 ÷ 6 = 1

Screenshot_(21)1528090844.jpg image 

 

Hence, 6 ÷ 2 (1 + 2) = 9.

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Q:

How many numbers of five digits can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits?

A) 120 B) 240
C) 256 D) 360
 
Answer & Explanation Answer: A) 120

Explanation:

Required number of 5 digit numbers can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits are 

5 x 4 x 3 x 2 x 1 = 120.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Nisha's father's brother­-in-­law is the brother of Neha. How is Nisha related to Neha?

A) Sister B) Niece
C) Mother D) Mother in law
 
Answer & Explanation Answer: B) Niece

Explanation:
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Filed Under: Blood Relations
Exam Prep: Bank Exams

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Q:

What is the percentage decrease in the area of a triangle if its each side is halved?

A) 75% B) 50%
C) 25% D) No change
 
Answer & Explanation Answer: A) 75%

Explanation:
Area of triangle of = ½*a*b* sinθ = A
Where a and b are sides of the triangle and θ be the angle between them
After decreasing each side
New area = ½*(a/2)*(b/2)*sinθ = ¼ A
%decrease = [(A–¼ A)/A ]*100 = 75%
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

If a=x13y13+x-13y-13 then a3-3ay-x is equal to

A) y^2x B) x^2y
C) a^2x D) a^2y
 
Answer & Explanation Answer: A) y^2x

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A and B entered into a partnership with Rs.800 and Rs.1600 respectively. From 9th months onward they each decided to invest Rs.100 more on starting of each month. If total annual profit is Rs.7700 then find the profit share of A.

A) Rs.2550 B) Rs.3200
C) Rs.2650 D) Rs.2450
 
Answer & Explanation Answer: C) Rs.2650

Explanation:

A : B = (800 × 8+ 900+ 1000+ 1100+ 1200): (1600 × 8+ 1700+ 1800+ 1900+ 2000)
A : B = 53 : 101
Profit of A ⇒ 7700 ×53/154 = 2650 Rs.

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Q:

Statement: There has been a significant drop in the water level of all the lakes supplying water to the city.
Courses of action:
I. The water supply authority should impose a partial cut in supply to tackle the situation.
II. The government should appeal to all the residents though mass media for minimal use of water.

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

Explanation:

The situation can be tackled by periodic cuts in supply, and urging people to conserve water. So both the courses follow.

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Filed Under: Statement and Courses of Action
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Q:

In a computer game, there are builders and destroyers. Together there are 20 of them. Some of them try to build a wall around a castle while the rest try to demolish it. Each of the builders can build the wall alone in 15 hours while any of the destroyers can demolish it in 10 hours. If all 20 builders and destroyers are made active when there is no wall and the wall gets built in 3 hours, how many of them are destroyers?

A) 5 B) 7
C) 6 D) 8
 
Answer & Explanation Answer: C) 6

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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