Aptitude and Reasoning Questions

Q:

Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 

A) 14.69 cm B) 15.69 cm
C) 18.65 cm D) 16.42 cm
 
Answer & Explanation Answer: B) 15.69 cm

Explanation:

circle11487663359.jpg image

Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC
perpendicular to both chords. That divides the two chords in half.
So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.
We are given that BC = 5, the distance between the two chords. Let
OB = x.

We use the Pythagorean theorem on right triangle ABO

AO² = AB² + OB²
r² = 14² + x²

We use the Pythagorean theorem on right triangle DCO

DO² = CD² + OC²

We see that OC = OB+BC = x+5, so

r² = 10² + (x+5)²

So we have a system of two equations:

r² = 14² + x²
r² = 10² + (x+5)²

Since both left sides equal r², set the right sides
equal to each other.

14² + x² = 10² + (x+5)²
196 + x² = 100 + x² + 10x + 25
196 = 125 + 10x
71 = 10x
7.1 = x

r² = 14² + x²
r² = 196 + (7.1)²
r² = 196 + 50.41
r² = 246.41
r = √246.41
r = 15.69745202 cm

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Filed Under: Simplification
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Q:

Select the Answer Figure that correctly fits in the blank space in the given Problem Figure.

 

 

 

A) D B) B
C) C D) A
 
Answer & Explanation Answer: A) D

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

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Q:

The value of log55log49log32 is :

A) 1 B) 3/2
C) 2 D) 5
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Logarithms

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Q:

In a certain code language, “blue” means “car”, “car” means “wood”, “wood” means “rice”, “rice” means “chair” and “chair” means “table”. What do we eat?

A) rice B) chair
C) wood D) blue
 
Answer & Explanation Answer: B) chair

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

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Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) 20 B) 35
C) 45 D) 80
 
Answer & Explanation Answer: B) 35

Explanation:

Except 35, all others are obtained by multiplying 5 with a composite Number.

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Filed Under: Classification

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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:

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

A) 60% B) 50%
C) 70% D) 45%
 
Answer & Explanation Answer: C) 70%

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

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Filed Under: Profit and Loss
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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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