AIEEE Questions

Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways. B) 5,04,020 ways
C) 72,000 ways D) None of the above
 
Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways 

Remaining 7 letters can be arranged in 7!/3! x 2! ways

 

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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Q:

The present ages of Pranay and Sai are in the ratio of 15 : 17 respectively. After 6 years, the respective ratio between the age of Pranay and Sai will be 9 : 10. What will be the age of Pranay after 6 years?

A) 42 B) 36
C) 30 D) 24
 
Answer & Explanation Answer: B) 36

Explanation:

Let present age of Pranay = 15p

That of Sai = 17p

ATQ,

15p + 6/17p + 6 = 9/10

=> 150p + 60 = 153p + 54

=> p = 2

Therefore, Age of Pranay after 6 yrs = 15 x 2 + 6 = 36 years.

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Filed Under: Problems on Ages
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Q:

A text book of mathematics cost 2 Rs/- more than a text book of literature. If 5 literature books cost 38 Rs/- more than 3 mathematics books, what is the cost of each literature book?

A) 44 B) 22
C) 24 D) 11
 
Answer & Explanation Answer: B) 22

Explanation:

Let each literature text book cost be Rs. X

Then, cost of mathematics text book = Rs. (X + 2)

ATQ,

5X = 38 + 3(X + 2)

5X = 38 + 3X + 6

2X = 44

X = 22.

 

Therefore, cost of each literature text book = Rs. X = Rs. 22.

And that of masthematics = X + 2 = Rs. 24.

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Filed Under: Problems on Numbers
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Q:

The 'P' in DPT stands for

A) Pulmonary B) Pneumonia
C) Pneumothorax D) Pertussis
 
Answer & Explanation Answer: D) Pertussis

Explanation:

DPT refers to a class of combination vaccines against three infectious diseases in humans: diphtheria, pertussis, and tetanus.

 

Pertussis refers to whooping cough.

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Filed Under: General Science
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Q:

Which element is a member of the halogen family?

A) Chlorine B) Bromine
C) Iodine D) All of the above
 
Answer & Explanation Answer: D) All of the above

Explanation:

The halogens make up group 17 in the periodic table.

They are five elements:

Chlorine (Cl)

Fluorine (F)

Bromine (B)

Iodine (I)

Astatine (At).

But astatine is not purely halogen as it is radioactive.

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Filed Under: Chemistry
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Q:

Amino acids can be distinguished from one another by

A) type of bond between the R group and the rest of the molecule B) the number of R groups found on the amino acid molecules
C) the chemical properties of their R groups D) the chemical properties of the amino and carboxyl groups
 
Answer & Explanation Answer: C) the chemical properties of their R groups

Explanation:

Amino acids are organic compounds containing amine (-NH2) and carboxyl (-COOH) functional groups, along with a side chain (R group) specific to each amino acid.

 

Depending on the nature of the side chain groups, three classes of aminoacids can e distinguished:

1. Amino acids with H ond donor and acceptor groups.

Histidine, lysine, aspartic acid, threonine,...

2. Amino acids with donor grups only.

Arginine, tryptophan and cysteine.

3. Amino acids with acceptor groups only.

Asparagine and glutamine.

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Filed Under: Biology
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Q:

Where in the cell are chromosomes located?

A) mitochondria B) DNA
C) RNA D) Nucleus
 
Answer & Explanation Answer: D) Nucleus

Explanation:

In all plants and animal cells chromosomes are located in the Nucleus of the cells.

 

 

 

The Chromosomes are thread like structures present in the nucleus of the cells which are made up of proteins and a single molecule of DNA.

 

 

 

Their function is to carry the characteristic features of parent cells to daughter cells. 

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Filed Under: Biology
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Q:

Carbon, Diamond and Graphite are together called

A) Isomers B) Isotopes
C) Allotrope D) Isomorphs
 
Answer & Explanation Answer: C) Allotrope

Explanation:
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