AIEEE Questions and Answers with Explanation

Q:

A number increased by 30% gives 390. The number is

A) 180	B) 300
C) 480	D) 260

Answer & Explanation Answer: B) 300

Explanation:

Let the number be 'N'
Given N + 30N/100 = 390
=> 130N/100 = 390
=> N = 390 x 10/13
=> N = 300.

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Filed Under: Percentage
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16 12404

Q:

Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ?

A) 36 kmph	B) 35 kmph
C) 72 kmph	D) 70 kmph

Answer & Explanation Answer: D) 70 kmph

Explanation:

By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.

By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.

By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.

So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.

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Filed Under: Time and Distance
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9 12388

Q:

Genuine : Authentic : : Mirage : ?

A) Transpiration	B) Illusion
C) Reflection	D) Image

Answer & Explanation Answer: B) Illusion

Explanation:

Here the given pair of words are related in such a way that they are synonyms.

That is Genuine and Authentic are synonyms and similarly, Mrage and illusion are synonyms.

Hence, Genuine : Authentic : : Mirage : Illusion.

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Filed Under: Analogy
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9 12377

Q:

If $\log_{7} (2)$ = m, then $\log_{49} (28)$ is equal to ?

A) 1/(1+2m)	B) (1+2m)/2
C) 2m/(2m+1)	D) (2m+1)/2m

Answer & Explanation Answer: B) (1+2m)/2

Explanation:

$\log_{49} (28) = \frac{1}{2 \log_{7} (7 \times 4)}$

= $\frac{1}{2} + \frac{1}{2} (2 \log_{7} (2))$
= $\frac{1}{2} + \log_{7} (2)$
= $\frac{1}{2} + m$
= $\frac{1 + 2 m}{2}$ .

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Filed Under: Logarithms
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62 12364

Q:

If MILITARY can be written as 1, 2, 3, 2, 4, 5, 6, 7 then how can TIMLI be written in that code ?

A) 2, 3, 1, 4, 2	B) 4, 2, 1, 5, 7
C) 3, 4, 5, 1, 6	D) 4, 2, 1, 3, 2

Answer & Explanation Answer: D) 4, 2, 1, 3, 2

Explanation:

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Filed Under: Coding and Decoding
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66 12362

Q:

" Hopman cup " is related to which sports ?

A) Cricket	B) Badminton
C) Lawn Tennis	D) Football

Answer & Explanation Answer: C) Lawn Tennis

Explanation:

Law Tennis Hopman cup is a hard-court tennis tournament held every year in Australia. Teams from different countries participates in the tournament.

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Filed Under: Sports
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Q:

The product of a number and its multiplicative inverse is

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

Answer & Explanation Answer: A) 1

Explanation:

The mutiplicative inverse of a number is nothing but a reciprocal of a number.

Now, the product of a number and its multiplicative inverse is always equal to 1.

For example :

Let the number be 15

Multiplicative inverse of 15 = 1/15

The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.

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Filed Under: Numbers
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21 12342

Q:

In the following question, select the related number from the given alternatives.

5 : 124 : : 6 : ?

A) 215	B) 216
C) 217	D) 220

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