AIEEE Questions and Answers with Explanation

Q:

If a carrier wave of 1000 kHz is used to carry the signal, the length of transmitting antenna will be equal to _____ ?

A) 300 m	B) 30 m
C) 3 m	D) 0.3 m

Answer & Explanation Answer: A) 300 m

Explanation:

h = $straight c over straight v$ = 3 × 10⁸/10⁶ = 300 m

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Filed Under: Physics
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39 11901

Q:

Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is ?

A) 387 kms	B) 242 kms
C) 145 kms	D) 444 kms

Answer & Explanation Answer: D) 444 kms

Explanation:

1h ----- 5 kms
? ------ 60 kms

Time = 12 hrs

Relative Speed = 16 + 21 = 37 kmph

T = 12 hrs

D = S x T = 37 x 12 = 444 kms.

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Filed Under: Problems on Trains
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11 11900

Q:

Find the logarithm of 144 to the base $2 \sqrt{3}$ :

A) 2	B) 4
C) 8	D) None of these

Answer & Explanation Answer: B) 4

Explanation:

$\log_{2 \sqrt{3}} (144) = 4$

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Filed Under: Logarithms
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55 11887

Q:

Moving from one website to another is called

A) Browsing	B) Attaching
C) Downloading	D) Uploading

Answer & Explanation Answer: A) Browsing

Explanation:

Moving from one website to another is called Browsing.

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Filed Under: Computer
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42 11876

Q:

Light : Blind

A) Tongue : Sound	B) Voice : Vibration
C) Language : Deaf	D) Speech : Dumb

Answer & Explanation Answer: D) Speech : Dumb

Explanation:

Here the two pair of words related in such a way that, a blind can't see the light. Similarly, a dumb cannot speech.

Hence, Light : Blind :: Speech : Dumb.

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Filed Under: Analogy
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10 11874

Q:

One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ?

A) Rs.1,92,000	B) Rs.2,24,000
C) Rs.1,26,000	D) Rs.3,42,000

Answer & Explanation Answer: B) Rs.2,24,000

Explanation:

One-quarter of one-seventh = 1/4 x 1/7
= 1/28
Now, 1/28 of a land costs = Rs. 30,000
Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15
= Rs. 2,24,000.

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Filed Under: Percentage
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15 11862

Q:

Find the one which does not belong to that group ?

A) 343	B) 2197
C) 1331	D) 121

Answer & Explanation Answer: D) 121

Explanation:

343 = $7^{3}$ , 1331 = $11^{3}$ , 2197 = $13^{3}$ , 121 = $11^{2}$

343, 1331, 2197 are perfect cubes, but not 121.

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Filed Under: Odd Man Out
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12 11853

Q:

What is the number of digits in $3^{3^{3}}$ ? Given that log3 = 0.47712?

A) 12	B) 13
C) 14	D) 15

Answer & Explanation Answer: B) 13

Explanation:

Let $L e t x = (3^{3^{3}})$ = ${(3^{3})}^{3}$

Then, $\log (x) = 3^{3} \log (3)$

= 27 x 0.47712 = 12.88224

Since the characteristic in the resultant value of log x is 12

$∴$ The number of digits in x is (12 + 1) = 13

Hence the required number of digits in $3^{3^{3}}$ is 13.

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Filed Under: Logarithms
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51 11848

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