AIEEE Questions and Answers with Explanation

Q:

A man covers half of his journey by train at 60 km/hr, half of the remaining by bus at 30 km/hr and the rest by cycle at 10 km/hr. Find his average speed during the entire journey?

A) 32 kmph	B) 20 kmph
C) 18 kmph	D) 24 kmph

Answer & Explanation Answer: D) 24 kmph

Explanation:

Let the total distance of the journey of a man = d kms

Now, the average speed of the entire journey = $\frac{d}{\frac{d}{120} + \frac{d}{120} + \frac{d}{40}}$ = 24 kmph.

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Filed Under: Time and Distance
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30 18308

Q:

One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.

A) 27 %	B) 26 %
C) 29 %	D) 21 %

Answer & Explanation Answer: A) 27 %

Explanation:

Let the percentage of benzene = X
(30 - X)/(X- 25) = 6/4 = 3/2
=> 5X = 135
X = 27

So, required percentage of benzene = 27 %

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Filed Under: Alligation or Mixture
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30 18269

Q:

Two pipes A and B can fill a tank in 24 hours and $17 \frac{1}{7}$ hours respectively. Harihar opened the pipes A and B to fill an empty tank and some times later he closed the taps A and B , when the tank was supposed to be full. After that it was found that the tank was emptied in 2.5 hours because an outlet pipe "C" connected to the tank was open from the beginning. If Harihar closed the pipe C instead of closing pipes A and B the remaining tank would have been filled in :

A) 2 hours	B) 8 hours
C) 6 hours	D) 4 hours

Answer & Explanation Answer: B) 8 hours

Explanation:

Efficiency of Inlet pipe A = 4.16% $(\frac{100}{24})$

Efficiency of Inlet pipe B = 5.83% $(\frac{100}{17 \frac{1}{7}})$

Therefore, Efficiency of A and B together = 100 %

Now, if the efficiency of outlet pipe be x% then in 10 hours the capacity of tank which will be filled = 10 * (10 - x)

Now, since this amount of water is being emptied by 'C' at x% per hour, then

$\frac{10 x (10 - x)}{x} = 2.5 h r s$

=> x = 8

Therefore, in 10 hours 20% tank is filled only. Hence, the remaining 80% of the capacity will be filled by pipes A and B in 80/10 = 8 hours

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Filed Under: Time and Work
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38 18261

Q:

If (89)² is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?

A) 5.65	B) 2.7
C) 3.5	D) 6.66

Answer & Explanation Answer: C) 3.5

Explanation:

Let the number is = x

(89)² + x² = 16202

x² = 8281

x = 91

=> (1/26) of 91 = 3.5

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Filed Under: Square Roots and Cube Roots
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18 18259

Q:

Optical fiber works on the principle of

A) Scattering	B) interference
C) total internal reflection	D) refraction

Answer & Explanation Answer: C) total internal reflection

Explanation:

Optical_fiber_works_on_the_principle_of1556277954.jpg image

Optical fiber works on the principle of total internal reflection.

The Total Internal Reflection is the phenomenon in which the complete reflection of a light ray reaching an interface with a less dense medium when the angle of incidence exceeds the critical angle.

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Filed Under: Physics
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40 18188

Q:

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ?

A) 40 days	B) 36 days
C) 32 days	D) 34 days

Answer & Explanation Answer: A) 40 days

Explanation:

Let 1 man's 1 day work = x and 1 woman's 1 day work = y.
Then, 4x + 6y = 1/8 and 3x + 7y = 1/10
Solving these two equations, we get:
x = 11/400 and y = 1/400
10 woman's 1 day work = (1/400 x 10) = 1/40.

Hence, 10 women will complete the work in 40 days.

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Filed Under: Time and Work
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19 18165

Q:

Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is ?

A) 30	B) 32
C) 38	D) None

Answer & Explanation Answer: C) 38

Explanation:

Let Raju's age at the time of his marriage = X years

Then from given data

=> X + 8 = 6/5 X

X = 40.

Since got married 8 years ago, his present age = 48

His sister is 10 years younger => 48 - 10 = 38 years.

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Filed Under: Problems on Ages
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24 18164

Q:

The simple interest on Rs.10 for 4 months at the rate of 3 paise per month is

A) 0.3 Paise	B) 1.2 Paise
C) 30 Paise	D) 3 Paise

Answer & Explanation Answer: B) 1.2 Paise

Explanation:

Given Principal amount P = Rs. 10

Time T = 4 months

Rate of interest R = 3 ps

Interest I = PTR/100 = (10 x 4 x 3)/100 = 12/10 = 1.2 paise.

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Filed Under: Simple Interest
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7 18139

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