AIEEE Questions and Answers with Explanation

Q:

A group of men can complete a job in K hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of K ?

A) 7 hrs	B) 7.5 hrs
C) 8 hrs	D) 8.25 hrs

Answer & Explanation Answer: B) 7.5 hrs

Explanation:

Let there are L men

job requires LK man hours.

job completed in first 4 hrs = L x 4 = 4L

job completed in next 4 hrs = 4 x L/2 = 2L

job completed in next 4 hrs = 4 x L/4 = L

job completed in last 4 hrs = 4 x L/8 = L/2

4L + 2L + L + L/2 = KL

K = 7+1/2 = 7.5 hours.

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Filed Under: Time and Work
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5 10126

Q:

Arena is the special name for playground of

A) Wrestling	B) Football
C) Skating	D) Tennis

Answer & Explanation Answer: A) Wrestling

Explanation:

Arena_is_the_special_name_for_playground_of1557731486.jpg image

Arena is the special name for playground of Wrestling.

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Filed Under: Sports
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11 10122

Q:

Which of the following is the largest unit of storage?

A) GB	B) KB
C) MB	D) TB

Answer & Explanation Answer: D) TB

Explanation:

The storage capacity is measured in bytes, kilo bytes, mega bytes, giga bytes and tera bytes. The largest unit of storage is Tera bytes.

Which_of_the_following_is_the_largest_unit_of_storage1552389085.png image

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Filed Under: Computer
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16 10121

Q:

If a+b+c =21 what is the total number of positive integral solutions?

A) 109	B) 190
C) 901	D) 910

Answer & Explanation Answer: B) 190

Explanation:

Number of positive integral solutions = $n - 1_{C_{r - 1}}$ = ${}^{20}C_{2}$ = 190

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Filed Under: Permutations and Combinations
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6 10117

Q:

Guess the Missing number in the Number Challenge ?

A) 8	B) 32
C) 44	D) 64

Answer & Explanation Answer: D) 64

Explanation:

The logic in the challenge is

$\sqrt{81} x 6 = 9 x 6 = 54$

$\sqrt{144} x 7 = 84$

Similarly, $\sqrt{64} x 8 = 8 x 8 = 64$ .

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Filed Under: Math Puzzles
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22 10114

Q:

A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm, the other is at :

A) 518 nm	B) 1035 nm
C) 325 nm	D) 743 nm

Answer & Explanation Answer: D) 743 nm

Explanation:

$\frac{1}{λ} = \frac{1}{λ 1} + \frac{1}{λ 2}$

$\frac{1}{355} = \frac{1}{680} + \frac{1}{λ 2}$

$\frac{1}{λ 2} = \frac{680 - 355}{680 \times 355}$

$\Rightarrow λ 2 = 743 n m$ .

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Filed Under: Chemistry
Exam Prep: AIEEE

12 10110

Q:

Two vessel P and Q contain milk and water in ratio 3 : 2 and 5 : 3 respectively. If 10 liters of the mixture is removed from vessels P and poured in vessel Q then ratio of milk to water in vessel Q becomes 8 : 5. Find the initial quantity of water in vessel Q.

A) 10 lit	B) 6 lit
C) 16 lit	D) 12 lit

Answer & Explanation Answer: A) 10 lit

Explanation:

Given ratio of initial mixture of milk and water in Q = 5 : 3

Let the initial quantity of mixture in vessel Q = 8x

Let quantity of Milk = 5x and

Let quantity of water = 3x

According to the question,

$\frac{5 x + 10 x \frac{3}{5}}{3 x + 10 x \frac{2}{5}} = \frac{8}{5}$

=> 25x + 30 = 24x + 32

=> x = 2

Required Initial quantity of milk = 5x = 5 x 2 = 10 lit.

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Filed Under: Ratios and Proportions
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18 10106

Q:

Rearrange the following sentences (A), (B), (C), (D), (E) and (F) in the proper sequence to form a meaningful paragraph.

(A) It causes a lot of physical problems especially for our eyes, body and mind.
(B) Such a lifestyle makes man lazy and excessively dependent on machines.
(C) Innovative products such as computers, laptops, mobile phones,
(D) Harmful radiation causes various terminal diseases.
(E) Technology has advanced rapidly and man cannot seem to live without it now.
(F) iPads have made things easier for us, but it also has its disadvantages.

Which of the following options is the correct arrangement ?

A) E C B A D F	B) E C F A D B
C) D C B A E F	D) D E B A C F

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

Explanation:

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Filed Under: Logical Sequence of Words
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25 10096

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