AIEEE Questions

Q:

Simplify the following :

373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ?

A) 100 B) 1
C) 4 D) 0
 
Answer & Explanation Answer: A) 100

Explanation:

Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28

 

It is in the form of

 a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c

 

Here a = 37, b = 35 & c = 28 

 

=> a + b + c = 37 + 35 + 28 = 100

 

 

 

Therefore,   = 100

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Filed Under: Simplification
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26 219254
Q:

Select the synonym of

gaudy

A) modest B) showy
C) refined D) sophisticated
 
Answer & Explanation Answer: B) showy

Explanation:
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Filed Under: English
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12 219055
Q:

6, 3, 3, 6, 24, ?

Find the next number in the given number series?

A) 192 B) 186
C) 182 D) 194
 
Answer & Explanation Answer: A) 192

Explanation:

Given 

 

6   3   3   6   24   ?

 

Here

 

6

 

6 x 0.5 = 3

 

3 x 1 = 3 

 

3 x 2 = 6

 

6 x 4 = 24 

 

24 x 8 = 192

 

The next number in the given series is 192.

 

 

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Filed Under: Odd Man Out
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16 214540
Q:

which part of the given sentence has an error?

She don't speak of either German or French.

A) don't B) of
C) or D) speak
 
Answer & Explanation Answer: B) of

Explanation:

She don't speak either German or French is the correct sentence in English.

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Filed Under: English
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43 214250
Q:

In a certain code language

" given  time  simple  plan " is written as ' @E4  &N4  %N5  #E6 '

" tired  solution  plant  great " is written as ' #N8  @D5  %T5  &T5 '

" sick  point  good  turn " is written as ' #K4  %D4  @N4  &T5 '

" garden  sister  phone  team " is written as ' &E5  #R6  %N6  @M4 '

Which of the following code is for ' plan ' and ' translate ' ?

A) @E8 and &N5 B) &N4 and @E9
C) @E1 and &N4 D) &N4 and @D7
 
Answer & Explanation Answer: B) &N4 and @E9

Explanation:

plan is given in first step. Total count of letters is 4 and last letter is N and ‘p’ is coded as & so Final answer will be-  &N4

We have to find 'translate' code. As we can see that this word is not given in any steps but as we know the idea of that so we can solve it.

Step I: first we will count the letters of that word that is 9, then we put digit 9 at the right end.

Step II: we will put the last letter of that word then it will like- E9

Step III: at the last step ‘t’ is coded for ‘@’(first letter of each word is coded by a specific symbol like here ‘t’ is coded for ‘@’. We can find the first coded symbol by looking at the other given words.

Answer will be - @E9

 

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Filed Under: Coding and Decoding
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111 212094
Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4 B) 1/2
C) 3/4 D) 7/12
 
Answer & Explanation Answer: C) 3/4

Explanation:

Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event

A, B, C are independent events

Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

 PA=12, PB=23, PC= 34

 P( none  solves the problem) = P(not A) and (not B) and (not C)  

                  = PABC 

                  = PAPBPC          A, B, C are Independent                       

                  =  12×23×34  

                  = 14  

Hence, P(the problem will be solved) = 1 - P(none solves the problem) 

                = 1-14= 3/4

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Filed Under: Probability
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1032 210193
Q:

Select the synonym of

spartan

A) garish B) forgiven
C) civilized D) brave
 
Answer & Explanation Answer: D) brave

Explanation:
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Filed Under: English
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9 204948
Q:

Coding-Decoding

If Pour is wrtten as 4156
Sware is written as 78269
Clear is written as 3@926

Then what is the code for PEARL= ?

A) 429@6 B) 4962@
C) 4692@ D) 4926@
 
Answer & Explanation Answer: D) 4926@

Explanation:

Pour - 4156 => P = 4,  r = 6

Sware - 78269 => a =  2,  e = 9

Clear - 3@926 => l = @

=> Pearl = 4926@

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98 203229