AIEEE Questions

Q:

The magnetic moment (spin only) of  [NiCl4]2-is

A) 1.41 BM B) 1.82 BM
C) 5.46 BM D) 2.82 BM
 
Answer & Explanation Answer: D) 2.82 BM

Explanation:

Hybridisation of Ni is e-  

Unpaired 3d8in  is 2 

So Ω = n(n+2)BM=2x4 = 8 = 2.82BM

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Filed Under: Chemistry
Exam Prep: AIEEE

10 7079
Q:

If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A) 119.21 sq cm B) 115.395 sq cm
C) 104.214 sq cm D) 111.241 sq cm
 
Answer & Explanation Answer: B) 115.395 sq cm

Explanation:

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is 434×227×3.5×3.5 = 115.3955 sq cm.

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Filed Under: Area
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3 7074
Q:

For xN, x>1,  and  p=logxx+1q=logx+1x+2 then which one of the following is correct?

A) p < q B) p = q
C) p > q D) can't be determined
 
Answer & Explanation Answer: C) p > q

Explanation:

kl>k+1l+1 for (k,l) > 0 and  k > l 

 

 

 

Let     k = x+1    and   l = x

 

 

 

Therefore, x+1x>(x+1)+1(x)+1

 

 

 

 (x + 1) > x

 

 

 

Therefore, log(x+1)log(x)>log(x+2)log(x+1)

 

 

 

logxx+1 >logx+1x+2

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Filed Under: Logarithms
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33 7074
Q:

Taxonomy : Classification :: Pedology : ?

A) Mountain B) Nature
C) Soil D) Farming
 
Answer & Explanation Answer: C) Soil

Explanation:

Taxonomy is the science dealing with classification.

Similarly, pedology deals with the study of soils.

 

Hence, Taxonomy : Classification :: Pedology :Soils.

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Filed Under: Analogy
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10 7073
Q:

The least value of the expression 2log10x - logx1100 for x>1 is:

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: C) 4

Explanation:

 

Hence the least value of is 4

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Filed Under: Logarithms
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44 7068
Q:

The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ?

A) 36 kmph B) 30 kmph
C) 34 kmph D) 40 kmph
 
Answer & Explanation Answer: B) 30 kmph

Explanation:

Let the speed of the faster train be 'S' kmph

 

Then speed of the slower train will be '(S-5)' kmph

 

Time taken by faster train = 350/S hrs

 

Time taken by slower train = 350/(S-5) hrs

 350s-5 - 350s = 2 hrs 20 min = 213 = 73

 

=> S = 30 km/hr.

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Filed Under: Problems on Trains
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16 7062
Q:

Ratio of water and milk in a container is 2 : 3. If 40 liter mixture removed from the container and same quantity of milk is added to it then the ratio of water to milk becomes 1 : 4. Find the initial quantity of mixture ?

 

A) 75 lit B) 80 lit
C) 85 lit D) 90 lit
 
Answer & Explanation Answer: B) 80 lit

Explanation:

From the given data,

let the initial quantity of the mixture = 5x

Then,

2x - 163x - 24 + 40 = 148x - 64 = 3x + 165x = 80x = 16 lit

 

Then the initial quantity of the mixture = 5x = 5 x 16 = 80 lit.

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Filed Under: Alligation or Mixture
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38 7062
Q:

After working for 8 days, Hari Ram finds that only 1/3 rd of the work has been done. He employs Satya who is 60% as efficient as Hari Ram. How many days more would Satya take to complete the work ?

A) 24 1/2 days B) 25 3/2 days
C) 24 2/3 days D) 26 2/3 days
 
Answer & Explanation Answer: D) 26 2/3 days

Explanation:

1/3 ---- 8

1 -------?
Hari can do total work in = 24 days

As satya is 60% efficient as Hari, then

Satya = 1/24 x 60/100 = 1/40

=> Satya can do total work in 40 days

1 ----- 40

2/3 ---- ? => 26 2/3 days.

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Filed Under: Time and Work
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11 7048