AIEEE Questions

Q:

Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius ?

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

Explanation:

bank

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Filed Under: Volume and Surface Area
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Q:

Directions:

A string of words is fed into a computing machine. It processes the input and gives an output in the following manner:

Input: Honesty is the best policy.

Step 1: is Honesty the best policy

Step 2: is the Honesty best policy

Step 3: is the best Honesty policy

Step 4: is the best policy Honesty

Output: is the best policy Honesty

Now,

If the input is "A rolling stone gathers no moss", what will be the fifth word in the string after 4 steps?

A) Moss B) No
C) Stone D) A
 
Answer & Explanation Answer: D) A

Explanation:

For the input "A rolling stone gathers no moss", the steps followed are:

Step 1: rolling A stone gathers no moss

Step 2: rolling stone A gathers no moss

Step 3: rolling stone gathers A no moss

Step 4: rolling stone gathers no A moss

 

After 4 steps the fifth word is "A".

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Filed Under: Logic
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Q:

What is the systematic name of Mg(NO3)2?

A) Manganese nitrite B) Magnesium nitrite
C) Magnesium nitrate D) Manganese nitrate
 
Answer & Explanation Answer: C) Magnesium nitrate

Explanation:

Mg(NO3)2 is Magnesium nitrate.

 

In the case of Mg(NO3)2, the metal in the compound is magnesium (Mg), and the non-metal here is called the nitrate ion (NO3). This makes the name of the compound simply magnesium nitrate.

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Filed Under: Chemistry
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3 6160
Q:

Galaxy named after Greek princess

A) Andromeda B) Whirlpool
C) Messier D) Cygnus
 
Answer & Explanation Answer: A) Andromeda

Explanation:

Andromeda Galaxy is the galaxy named after Greek princess Andromeda.

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Filed Under: General Science
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3 6158
Q:

The last two digits of 2151415?

A) 81 B) 61
C) 91 D) 51
 
Answer & Explanation Answer: D) 51

Explanation:

Unit digit of this expression is always 1 as the base ends with 1. 

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

 

Therefore, last two digits of 2151415 is 51.

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Filed Under: Mathematical Operations
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23 6157
Q:

The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is 

A) 7! x 7! B) 7! x 6!
C) 6! x 6! D) 7! x 5!
 
Answer & Explanation Answer: B) 7! x 6!

Explanation:

The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in 7P6ways. 7 teachers can sit in (7-1)! ways.

 

 Required no.of ways is = 7P6.6! = 7!.6!

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Filed Under: Permutations and Combinations
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10 6144
Q:

Namitha sold a powerbank which is at the cost of Rs. 1950 at a loss of 25%. Find at what cost will she have to sell it to get a profit of 25%?

A) Rs. 3680 B) Rs. 3560
C) Rs. 3320 D) Rs. 3250
 
Answer & Explanation Answer: D) Rs. 3250

Explanation:

Let the Cost price of the powerbank = Rs. P

But given that by selling it at Rs. 1950, it gives a loss of 25%

=> P x 75100 = 1950
=>P = 1950 x 10075 = Rs. 2600
Now, to get a profit of 25%

Selling Price = 2600 x 125100 = Rs. 3250.

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Filed Under: Profit and Loss
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Q:

Market regulation system was introduced by

A) Illtutmish B) Ala-ud-din Khilji
C) Ghias-ud-din D) Muhammad Bin-Tughlaq
 
Answer & Explanation Answer: B) Ala-ud-din Khilji

Explanation:

Market regulation system was introduced by Ala-ud-Din Khilji. He was the second and the most powerful ruler of the Khalji dynasty that ruled the Delhi Sultanate in the Indian subcontinent. 

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Filed Under: Indian History
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