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
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

4 3656
Q:

The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year?

Answer

As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased


Population of the city at the end of the second year= 



363650.

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Subject: Percentage Exam Prep: CAT
Job Role: Bank Clerk

12 3655
Q:

Should there be an upper age limit of 65 years for contesting parlimentary/Legislative Assembly elections? 

Arguments:

1. Yes. Generally ,people above the age of 65 years lose their dynamism and will power

2. No. The life span is also increased that people remain physically and mentally active even upto age of 80 years

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 nor 2 is true
 
Answer & Explanation Answer: D) Neither 1 nor 2 is true

Explanation:

The age of the person is no criteria for judging his mental capbilities and administrative qualities.So,none of the arguments holds strong

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1 3655
Q:

In the following question, select the missing number from the given series.

2187, 729, 243, 81, 27, ?

A) 10 B) 9
C) 13 D) 11
 
Answer & Explanation Answer: B) 9

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

0 3652
Q:

In a certain code language, “book is tough” is written as “fu la mi”, “tough can easy” is written as “fu muk po” and “easy not book” is written as “ti po la”. What is the code for “tough” in that code language?

A) mi B) po
C) la D) fu
 
Answer & Explanation Answer: D) fu

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

1 3652
Q:

                        Items of Expenditure

         
Year Salary Food Medicine Tax
2001 Rs.1500 Rs.200 Rs.500 Rs.100
2002 Rs.2600 Rs.300 Rs.600 Rs.200
2003 Rs.3200 Rs.150 Rs.700 Rs.150
2004 Rs.4100 Rs.250 Rs.650 Rs.125
2005 Rs.5000 Rs.200 Rs.800 Rs.150
2006 Rs.5200 Rs.100 Rs.750 Rs.175

 

The average salary per year during period 2001-2006 is:

 

A) 3400 B) 3800
C) 3500 D) 3600
 
Answer & Explanation Answer: D) 3600

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

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Q:

Example:Given an amount needed(future value) of $3300 in 4 years at an interest rate of 11% compounded anually,Find the present value and the amount of interest earned

A) 1126.19 B) 1237
C) 2863 D) 1892
 
Answer & Explanation Answer: A) 1126.19

Explanation:

M=P(1+i)^n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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0 3651
Q:

A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

A) 183 B) 153
C) 63 D) 123
 
Answer & Explanation Answer: A) 183

Explanation:

LCM of 9,10,12,15 is 180
Smallest natural number to get remainder of 3 is (180 + 3) = 183

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

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