GATE Questions

Q:

Multiplicative inverse of 7?

A) 1 B) -1/7
C) 0 D) 1/7
 
Answer & Explanation Answer: D) 1/7

Explanation:

Multiplicative inverse is nothing but a reciprocal of a number. 

It is defined as one of a pair of numbers that when multiplied with another number equals the number 1.

Multiplicative inverse or reciprocal of 7 is 

7 x n = 1

=> n = 1/7.

 

Hence, Multiplicative inverse or reciprocal of 7 is  1/7.

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Q:

three_resistors_are_arranged_in_a_circuit_as_shown_above1559105724.PNG image

Three resistors are arranged in a circuit as shown above. The battery has an unknown but constant emf ε and a negligible internal resistance.

Now, determine the equivalent resistance of the three resistors.

A) 12 Ω B) 10 Ω
C) 16 Ω D) 15 Ω
 
Answer & Explanation Answer: A) 12 Ω

Explanation:

From the given circuit,

three_resistors_are_arranged_in_a_circuit_as_shown_above1559105964.PNG image

The resistors R1 and R2 are in parallel connection and R3 is in series with R1 & R2

The equivalent resistance of R1 and R2 is

Req = (12 × 4)/(12 + 4) = 3 Ω.

Adding R3 in series with the pair gives

R = Req + 9

R = 3 + 9

R = 12 Ω.

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Q:

Land is considered a resource because it

A) is used to produce things B) requires labor to be useful
C) is always available to use D) costs little or nothing to use
 
Answer & Explanation Answer: A) is used to produce things

Explanation:

Land is considered as an important resource because it is useful in producing many things. For example, in agriculture, land is used for cultivating the crop, in industrial use, it is used for constructing factories and to make products that we use.

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Q:

Which substance contains metallic bonds?

A) C6H12O6 B) Hg
C) H2O D) NaCl
 
Answer & Explanation Answer: B) Hg

Explanation:

Metallic bond is a bond between two metal atoms. Here in the given option Hg is the only metal with metallic bond.

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Q:

Which team has won the most number of ICC Cricket World Cup titles?

A) Australia B) England
C) India D) Pakistan
 
Answer & Explanation Answer: A) Australia

Explanation:

Cricket World cup Year wise winners list from its starting year.

 

Year  -  Winner score

1975  -  West Indies 

1979  -  West Indies 

1983  -  India 

1987  -  Australia 

1992  -  Pakistan 

1996  -  Sri Lanka 

1999  -  Australia 

2003  -  Australia 

2007  -  Australia 

2011  -  India 

2015  -  Australia 

 

Australia won most number of titles i.e, 5 times Cricket World Cup title.

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Q:

Which gas is not produced by volcanic eruptions?

A) Methane B) carbon dioxide
C) sulfur dioxide D) hydrochloric acid
 
Answer & Explanation Answer: A) Methane

Explanation:

Many toxic gases along with water vapour are emitted in vocanic eruptions. All such toxic gases include hydrochloric acid, sulfur dioxide, carbon dioxide, hydrogen sulfide and carbon monoxide. Methane is not produced in the volcanic eruptions.

which_gas_is_not_produced_by_volcanic_eruptions1559201445.jpg image

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Q:

Smallest prime number greater than 200?

A) 201 B) 205
C) 211 D) 203
 
Answer & Explanation Answer: C) 211

Explanation:

From the trial and error method of division,

201 is divisible by 3

205 is divisible by 5

203 is divisible by 7

 

Hence, after eliminating three options, remained is 211 and is divisible by only 1 and itself. 

 

Therefore, 211 is the smallest prime number greater than 200.

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Q:

Work done in a free expansion process is

A) Minimun B) 0
C) Maximum D) None of the above
 
Answer & Explanation Answer: B) 0

Explanation:

No work done as there is no external external pressure in free expansion. 

 

Hence, Work done in a free expansion process is Zero.

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