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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20 155788
Q:

If 20% of a = b, then b% of 20 is the same as :

A) 4% of a B) 6% of a
C) 8% of a D) 10% of a
 
Answer & Explanation Answer: A) 4% of a

Explanation:

20% of a = b 

=> (20/100) * a = b 

 b% of 20 =(b/100) x 20 = [(20a/100)  / 100] x 20= 4a/100 = 4% of a.

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Filed Under: Percentage
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1377 155498
Q:

Find the missing alphabet in the given sequence ?

A, Z, Y, B, C, ?, W, D

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

Explanation:

first letter A with last letter Z
similarly 2nd last letter Y with 2nd letter B
Now 3rd letter C with 3rd last letter X
4th last letter W with 4th letter D
and so on....

Therefore the missing letter is X

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Filed Under: Alphabet Test
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37 150828
Q:

What should come in place of question mark (?) in the following number series?

 132       156       ?         210          240          272 

A) 196 B) 182
C) 199 D) 204
 
Answer & Explanation Answer: B) 182

Explanation:

The given series follows a logic that

11 x 12, 12 x 13, 13 x 14, 14 x 15, 15 x 16,...

So the missing number is 13 x 14 = 182

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Filed Under: Number Series
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528 149978
Q:

92613 x 62742241 = ? + 89

Find the value of '?'

A) 166251 B) 166259
C) 166252 D) 166253
 
Answer & Explanation Answer: C) 166252

Explanation:

Given 92613 x 62742241 = ? + 89

 

Using unit digit method,

 

On LHS,

 

1 x 1 x 1 = 1

 

sqrt of last digit 1 => it must end with either 9 or 1

 

so now

 

1 x 1 = 1

 

1 x 9 = 9

 

On RHS,

 

? + 89

 

=> ? = ...1 - 89 = last digit is 11- 9 = 2

 

or

 

=> ? = ...9 - 89 = last digit is 9 - 9 = 0

 

Here in the options last digit 2 is option C.

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22 148790
Q:

The following sentence contains which type of conjunction?

"She is not only a great singer but also an exceptional dancer."

A) Phrasal B) Subordinating
C) Correlative D) Coordinating
 
Answer & Explanation Answer: C) Correlative

Explanation:

A conjunction is a word that joins words, clauses, phrases or sentences.

For example but, and, or, nor, yet for, so, although, since, because, unless, when, where, while, etc.

There are four types of conjunctions:

1. Subordinating Conjunction

2. Correlative Conjunction

3. Phrasal Conjunction

4. Coordinating Conjunction

 

In the given sentence, "She is not only a great singer but also an exceptional dancer" Not Only But Also is a type of Correlative conjunction.

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Filed Under: English
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9 146342
Q:

If selling price is doubled, the profit triples. Find the profit percent ?

A) 100% B) 200%
C) 300% D) 400%
 
Answer & Explanation Answer: A) 100%

Explanation:

Let the C.P be Rs.100 and S.P be Rs.x, Then
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x
New profit is (2x-100)
Now as per the given condition;
=> 3(x-100) = 2x-100
By solving, we get
x = 200
Then the Profit percent = (200-100)/100 = 100
Hence the profit percentage is 100%

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Filed Under: Profit and Loss
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730 141468
Q:

The wind is variable today.

Synonym of the word in bold?

A) mild B) Shifting
C) Steady D) Chilling
 
Answer & Explanation Answer: B) Shifting

Explanation:

Variable means changes or shifts timely. Hence, synonym of variable is shifting.

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Filed Under: English
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11 141108