AIEEE Questions

Q:

How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ?

A) 521 B) 720
C) 420 D) 225
 
Answer & Explanation Answer: B) 720

Explanation:

Let last digit is 2
when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.
so for last digit = 2, total numbers=240

 

Similarly for 4 and 6
When last digit = 4, total no. of ways =240
and last digit = 6, total no. of ways =240
so total of 720 even numbers are possible.

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Filed Under: Permutations and Combinations
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14 18180
Q:

A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ?

A) Rs. 404.80 B) Rs. 536.80
C) Rs.440 D) Rs. 160
 
Answer & Explanation Answer: A) Rs. 404.80

Explanation:

Let C1 be the cost price of the first article and C2 be the cost price of the second article.
Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%.

We know, C1 + C2 = 600.
The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1
The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2.

The total selling price of the first and second article = 1.22C1 + 0.92C2.

As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2.

Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600
As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get
1.22C1 + 0.92(600 - C1) = 600
or 1.22C1 - 0.92C1 = 600 - 0.92*600
or 0.3C1 = 0.08*600 = 48
or C1 = 48/(0.3) = 160.
If C1 = 160, then C2 = 600 - 160 = 440.
The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80.

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Filed Under: Profit and Loss
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19 18116
Q:

Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

A) Rs. 5422 B) Rs. 5489
C) Rs. 4511 D) Rs. 6145
 
Answer & Explanation Answer: C) Rs. 4511

Explanation:

Now as per question, Karan invested for 12 months and Satish invested for 7 months.

So, Karan:Satish = (29000 x 12):(18000 x 7)

= 348:126

= 58:21

 

Satish Ratio in profit will be= 16970×2179 = Rs. 4511

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Filed Under: Partnership
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13 18103
Q:

Telecom company Nokia belongs to which country?

A) Denmark B) USA
C) Sweden D) Finland
 
Answer & Explanation Answer: D) Finland

Explanation:

Telecom_company_NOKIA_company_belongs1542268061.png image

NOKIA belongs to the countyry Finland.

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Filed Under: General Awareness
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98 18093
Q:

What is the value of P in the following Equation ?

 192.5 × 19p = 197

A) 3.9 B) 4.1
C) 3.7 D) 4.5
 
Answer & Explanation Answer: D) 4.5

Explanation:

Given equation is  

  192.5 ×19p = 197   

Here it is in the form of am × an = am+n  

 Here m = 2.5 , n = p, m+n = 7

 => 2.5 + p = 7 

 => p = 7 - 2.5

 => p = 4.5

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Filed Under: Mathematical Operations
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25 18063
Q:

NH3 oxidation number?

A) -1 B) +1
C) 0 D) -3
 
Answer & Explanation Answer: C) 0

Explanation:

NH3, Ammonia is a neutral compound as the individual oxidation numbers elements that make up the compound NH3 are Nitrogen (N) and Hydrogen (H) sum to zero. 

We do not speak of the oxidation number of a molecule. We can speak of the oxidation numbers of the individual elements that make up the compound.

 

Here the oxidation number of Nirogen is -3 and that of Hydrogen is +1.

Now, NH3 = 1(-3) + 3(+1) = -3 + 3 = 0.

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Filed Under: Chemistry
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31 18055
Q:

Read the following statement and the arguments that follow. Decide which of the arguments is strong.


Statement:
Should written examination in primary schools be abolished?


Arguments:
1. Yes, young students feel the burden and such examinations do not help in the natural thinking process.
2. No, without examination students will not be serious about education and learning.

A) Both arguments I and 2 are strong B) Only argument I is strong
C) Neither argument 1 nor 2 is strong D) Only argument 2 is strong
 
Answer & Explanation Answer: A) Both arguments I and 2 are strong

Explanation:
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Filed Under: Statement and Conclusions
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0 18038
Q:

If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to  ?

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

Explanation:

Since 653xy is divisible by 5 as well as 2, so y = 0.
Now, 653x0 must be divisible by 8.
So, 3x0 must be divisible by 8. This happens when x = 2
x + y = (2 + 0) = 2.

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Filed Under: Numbers
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26 18024