AIEEE Questions and Answers with Explanation

Q:

A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is :

A) 35/96	B) 19/90
C) 19/96	D) None of these

Answer & Explanation Answer: B) 19/90

Explanation:

$A S S I S T A N T \to A A I N S S S T T$

$S T A T I S T I C S \to A C I I S S S T T T$

Here N and C are not common and same letters can be A, I, S, T. Therefore

Probability of choosing A = $\frac{2_{C_{1}}}{9_{C_{1}}} \times \frac{1_{C_{1}}}{10_{C_{1}}}$ = 1/45

Probability of choosing I = $\frac{1}{9_{C_{1}}} \times \frac{2_{C_{1}}}{10_{C_{1}}}$ = 1/45

Probability of choosing S = $\frac{3_{C_{1}}}{9_{C_{1}}} \times \frac{3_{C_{1}}}{10_{C_{1}}}$ = 1/10

Probability of choosing T = $\frac{2_{C_{1}}}{9_{C_{1}}} \times \frac{3_{C_{1}}}{10_{C_{1}}}$ = 1/15

Hence, Required probability = $\frac{1}{45} + \frac{1}{45} + \frac{1}{10} + \frac{1}{15} = \frac{19}{90}$

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Filed Under: Probability
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Q:

USB is which type of storage device?

A) Tertiary	B) Secondary
C) Primary	D) Auxillary

Answer & Explanation Answer: B) Secondary

Explanation:

USB - Universal Serial Bus is a secondary type of storage device which is used in all computers, laptops, mobiles...

USB1533034422.jpg image

It is a plug-and-play portable storage device that uses flash memory and is lightweight enough to attach to a keychain.

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Q:

Which is the largest gulf ?

Answer

The Gulf of Mexico is the largest among all the gulfs in the world.

the_largest_gulf_in_the_world_is1552973222.jpg image

A gulf is nothing but a large inlet from the ocean into the landmass, typically with a narrower opening than a bay.

The Gulf of Mexico is an ocean basin mostly surrounded by the North American continent. It is a unique, semi-enclosed sea located between the Yucatan and Florida peninsulas, at the southeast shores of the United States.

Workspace

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Q:

The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 litres each, is of capacity ?

A) 7 lts	B) 14 lts
C) 98 lts	D) 42 lts

Answer & Explanation Answer: B) 14 lts

Explanation:

To know the the measuring cylinder that can fill all the given capacities , they must be divisible by the required number.

98,182,266 all are divisible by 14
So 14 litres is the largest cylinder that can fill all the given cylinders.

(or)

The other method is take HCF of all given capacities i.e 98, 182 and 266.

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Q:

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ?

A) 360 lit	B) 480 lit
C) 320 lit	D) 420 lit

Answer & Explanation Answer: B) 480 lit

Explanation:

1/k - 1/20 = -1/24

k = 120

120 x 4 = 480

Therefore, the capacity of the cistern is 480 liters.

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Filed Under: Pipes and Cistern
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Q:

Which Crop is Sown on the Largest Area in India?

A) Wheat	B) Barley
C) Rice	D) Maize

Answer & Explanation Answer: C) Rice

Explanation:

India is the second largest producer of Rice in the World. Rice is the most cultivated crop in India.

According to 2002-2003 census, about 33 million hectares of area in India was cultivated with Rice.

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Filed Under: Indian Geography
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Q:

If yesterday were tomorrow, then today would be Friday. What day is today?

A) Saturday	B) Monday
C) Sunday	D) Tuesday

Answer & Explanation Answer: C) Sunday

Explanation:

If yesterday were tomorrow, today is Friday => tomorrow of friday is Saturday.

Hence, it implies that today is Sunday if tomorrow is Saturday.

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Q:

Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ?

A) 193 : 122	B) 97 : 102
C) 115 : 201	D) 147 : 185

Answer & Explanation Answer: A) 193 : 122

Explanation:

Given the three mixtures ratio as (1:2),(2:3),(3:4)

(1+2),(2+3),(3+4)

Total content = 3,5,7

Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105

105/3 = 35 , 105/5 = 21 , 105/7 = 15

Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)

i.e (35,70), (42,63), (45,60)

So overall mixture ratio of milk and water is

35+42+45 : 70+63+60

122:193

But in the question asked the ratio of water to milk = 193 : 122

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Filed Under: Alligation or Mixture
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