GATE Questions

Q:

X2+X2 =

A) 4X B) 2X
C) 2X^2 D) X/2
 
Answer & Explanation Answer: C) 2X^2

Explanation:

Here the given expression, 

X2 + X is an algebraic expression. Here in this expression the terms are like terms. Now to add them, add their coefficients.

Here in the given expression, the like terms are two X

Hence, adding their coefficients i.e, 1 + 1 = 2

Therefore, 

 

X2 + X2 = 2X2.

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Q:

What is the bond order of O2?

A) 1.5 B) 2
C) 2.5 D) 1
 
Answer & Explanation Answer: B) 2

Explanation:

The number of bonds between a pair of atoms is called the bond order.

Bond orders can be calculated from Lewis structures, which are the heart of the valence-bond model. Oxygen, for example, has a bond order of two.

Structure

When there is more than one Lewis structure for a molecule, the bond order is an average of these structures. The bond order in sulfur dioxide, for example, is 1.5  the average of an S-O single bond in one Lewis structure and an S=O double bond in the other.

Structures

In molecular orbital theory, we calculate bond orders by assuming that two electrons in a bonding molecular orbital contribute one net bond and that two electrons in an antibonding molecular orbital cancel the effect of one bond. We can calculate the bond order in the O2 molecule by noting that there are eight valence electrons in bonding molecular orbitals and four valence electrons in antibonding molecular orbitals in the electron configuration of this molecule. Thus, the bond order is two.

Equation

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1 2715
Q:

The following bar graph shows the percentage of chairs produced by two companies Neel Kamal and Raj Kamal during five different years. Bar graph also shows the total no. of chairs produced in different years associated with it. Study the graph carefully to answer the following questions.

bar_g1527828671.jpg image

Question 1)  Find the average no. of chairs produced by Raj Kamal in the years 2004, 2006 and 2007 together.

 

Question 2)  What is the ratio of no. of chairs produced by Neel Kamal in the years 2007 and 2008 together to that by Raj Kamal in the same years together?

 

Question 3)  If 12% chairs out of total chairs produced in the year 2008 were defective and in them ratio of defective chairs by Raj Kamal and Neel Kamal is 2 : 3 then find the no. of defective chairs produced by Neel Kamal in the year 2008.

Answer

Answer 1)  


1/3 x (54 x 150 + 60 x 300 + 36 x 450)


= 1/3 x 42300


= 14100.


 


Answer 2)


Required ratio of chairs = 64 x 450 + 56 x 50036 x 450 + 44 x 500


= 56800/38200


= 284/191.


 


Answer 3)


 


Required number of chairs =  35 x 12100 x 50000
= 3600.


 

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Q:

15% of 32 is

A) 3.6 B) 4.8
C) 5.2 D) 5.8
 
Answer & Explanation Answer: B) 4.8

Explanation:

15% of 32 is 

15 x 32/100 = 4.8.

 

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17 2711
Q:

5 + 2 x 10 =

A) 70 B) 20
C) 25 D) 52
 
Answer & Explanation Answer: C) 25

Explanation:

According to BODMAS rule,

After multiplication only, addition is done.

Hence,

5 + 2 x 10 = 5 + 20 = 25.

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Q:

Which tennis player has won the Grand Slam title in men's singles 2019?

A) Rafael Nadal B) Roger Federer
C) Novak DJokovic D) Daniil Medvedev
 
Answer & Explanation Answer: A) Rafael Nadal

Explanation:

Rafael Nadal defeated Daniil Medvedev in the men's singles title at the 2019 US Open. It was Nadal's 19th Grand Slam singles title, and fourth US Open title.

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28 2708
Q:

Is air homogeneous or heterogeneous?

A) homogeneous B) heterogeneous
C) Both A & B D) None of the above
 
Answer & Explanation Answer: A) homogeneous

Explanation:

A Mixture is a material made up of two or more different substances which are mixed.

 

Mixtures can be either homogeneous or heterogeneous.

 

* A homogeneous mixture is a type of mixture in which the composition is uniform and every part of the solution has the same properties.

* A heterogeneous mixture is a type of mixture in which the components can be seen, as there are two or more phases present.

 

Air is a homogeneous mixture of the gaseous substances nitrogen, oxygen, and smaller amounts of other substances.

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2 2707
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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