Aptitude and Reasoning Questions

Q:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.


Statement 1 : No squares are rectangles.
Statement 2 : All rectangles are triangles.


Conclusion I : Some triangles are squares.
Conclusion II : Some triangles are rectangles.

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: B) Only conclusion II follows

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

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Q:

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 12?

A) 35/36 B) 17/36
C) 15/36 D) 1/36
 
Answer & Explanation Answer: A) 35/36

Explanation:

When two dice are thrown simultaneously, the probability is n(S) = 6x6 = 36

dice_thrown_simulataneously1532668754.png image

Required, the sum of the two numbers that turn up is less than 12

That can be done as n(E)

= { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5) }

= 35

Hence, required probability = n(E)/n(S) = 35/36.

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Filed Under: Probability
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Q:

Choose the correct figure that can replace the question mark.

 

 

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

Explanation:
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Filed Under: Pattern Completion
Exam Prep: Bank Exams

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Q:

Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing 1/3 of the task. Then, Sharan takes over and completees the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayuk' had worked faster than Sharan ?

A) 24 B) 45
C) 72 D) 30
 
Answer & Explanation Answer: B) 45

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

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Q:

Lycopene, glutathione, and glutamine are powerful antioxidants that neutralize the free radicals that are produced in the body as a result of routine bodily processes. An excess of these free radicals in your system causes rapid aging because they accelerate the rate of cellular damage. Aging is simply the result of this damage. Thus, to slow down aging it is necessary to supplement your diet with these antioxidants on a daily basis. 

 

Which of the following, if true, most seriously undermines the author's contention?

A) Most persons aren't concerned with the effects of aging ...........until it is too late to do anything B) Exercise associated with normal daily activities effectively ...........neutralizes and dissipates the free radicals that are ...........produced as a result of routine bodily processes.
C) Both A and B D) None
 
Answer & Explanation Answer: B) Exercise associated with normal daily activities effectively ...........neutralizes and dissipates the free radicals that are ...........produced as a result of routine bodily processes.

Explanation:

Exercise associated with normal daily activities effectively ...........neutralizes and dissipates the free radicals that are ...........produced as a result of routine bodily processes is true for the above stated arguments

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Filed Under: Deriving Conclusions From Passages
Exam Prep: GRE

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Q:

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?

A) 76% B) 72%
C) 80% D) 82%
 
Answer & Explanation Answer: C) 80%

Explanation:

circumference of A = 2πr = 8 => so r = 4π
volume = π×4π2×10 = 160π
circumference of B = 2πr   = 10 => so r = 5π
volume = π×5π2×8 =  200π
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

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Filed Under: Percentage
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Q:

Total 100 members are writing exam. In that 48 members are writing first exam, 45 members are writing second exam and 38 members are writing third exam. 5 members are writing all the three exams. How many members are writing 2 exams ?

A) 26 B) 23
C) 27 D) 21
 
Answer & Explanation Answer: D) 21

Explanation:

Total number of exams written by 100 students = 48 + 45 + 38 = 131
Now let us say x members are writing only 1 exam, y members are writing only 2 exams, z members are writing only 3 exams.
Therefore, x + 2y + 3z = 131 also x + y + z = 100.
Given that z = 5. So x + 2y = 116 and x + y = 95.
Solving we get y = 21.
So 21 members are writing exactly 2 exams.

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Filed Under: Problems on Numbers
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Q:

Count the number of cubes in the given figure.

A) 8 B) 9
C) 12 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:

Clearly, there are 4 columns containing 1 cube each, 4 columns containing 2 cubs each and 1 column containing 3 cubes.

Hence, there are (4 x 1) + (4 x 2) + (1 x 3) = 4 + 8 + 3 = 15 cubes in the given figure.

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Filed Under: Cubes and Dice

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