AIEEE Questions and Answers with Explanation

Q:

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true ?

A) x > y < z	B) x < y < z
C) x > y > z	D) z < x < y

Answer & Explanation Answer: D) z < x < y

Explanation:

x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

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Filed Under: Arithmetical Reasoning
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Q:

Every computer on the internet is known as

A) Client	B) Modem
C) Server	D) Host

Answer & Explanation Answer: D) Host

Explanation:

Every computer on the internet needs a string called Internet Protocol (IP address) to perform its work. So Every computer on the internet is known as Host.

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Filed Under: Computer
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Q:

A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ?

A) Rs. 175	B) Rs. 220.75
C) Rs. 126	D) Can't be determined

Answer & Explanation Answer: D) Can't be determined

Explanation:

Here given Interest earned = Rs. 2260

Time = 3 years

Rate of interest = ?

Principal Amount = ?

So, it can't be determined.

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Filed Under: Simple Interest
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18 5414

Q:

If a, b, c be the $p^{t h}, q^{t h} a n d r^{t h}$ terms of a GP then the value of (q-r) log a + (r-p) log b + (p-q) log c is :

A) 0	B) 1
C) -1	D) pqr

Answer & Explanation Answer: A) 0

Explanation:

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Filed Under: Logarithms
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Q:

A cowboy arrives in town on Friday. He stays for 3 days and then leaves on Friday. How is that possible?

Answer

You will get the answer in the riddle itself, if you read the riddle carefully.

The riddle says "A cowboy arrives in town on Friday." So Friday is the name of the horse on which he comes. Hence, the only possibility is he arrives on the horse friday on Tuesday, stays for 3 days and leaves on the same horse on Friday.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23	B) 432
C) 22	D) 431

Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

${}^{9}C_{1} + {}^{8}C_{1} + {}^{6}C_{1}$ = 23 will be answer.

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Filed Under: Permutations and Combinations
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Q:

Which statement best compares a line and a point?

A) A point has no dimension and a line has one dimension.	B) A line can have line segments on it whereas a point cannot be on any line segment.
C) point is a location whereas a line has several planes located on it	D) A line can lie on a plane whereas a point cannot lie on a plane.

Answer & Explanation Answer: A) A point has no dimension and a line has one dimension.

Explanation:

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

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Filed Under: Arithmetical Reasoning
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Q:

Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ?

A) 41.25 days	B) 37.5 days
C) 39.75 days	D) 40 days

Answer & Explanation Answer: A) 41.25 days

Explanation:

Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days.

Let the initial speed be '1'

Hence, Time = 22(24hrs - 2)

Noe new speed = 2/3

Let the number of days he take be 'D'

Therefore, $\frac{22 (24 - 2) x 3}{200} = \frac{D (24 - 2) x 2}{250}$

D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.

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Filed Under: Time and Distance
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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