GATE Questions and Answers with Explanation

Q:

Which reaction occurs spontaneously?

A) Cl2(g) + 2NaF(aq)--> F2(g) + 2NaCl(aq)	B) I2(s) + 2NaF(aq)--> F2(g) + 2NaI(aq)
C) Cl2(g) + 2NaBr(aq)-->Br2(l) + 2NaCl(aq)	D) I2(s) + 2NaBr(aq)--> Br2(l) + 2NaI(aq)

Answer & Explanation Answer: C) Cl2(g) + 2NaBr(aq)-->Br2(l) + 2NaCl(aq)

Explanation:

In this chemical reaction chlorine change oxidation number from 0 to -1 (reduction) and bromine change oxidation number from -1 to 0 (oxidation).

Chlorine is stronger oxidation reagent than bromine.

In VIIA or group 17 (halogen elements) there are six elements: fluorine (F), chlorine (Cl), bromine (Br), iodine (I), astatine (At) and tennessin(Ts).

They have high electronegativity because they have seven valence electrons in their outermost energy level, so they can gain an electron to have the octet rule.

Going down in the group, element are weaker oxidazing reagent and less reactive.

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Q:

If watches bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425. What is the greatest possible profit that might be made in selling nine watches ?

A) Rs. 1800	B) Rs. 2000
C) Rs. 2025	D) Rs. 1750

Answer & Explanation Answer: C) Rs. 2025

Explanation:

Profit would be maximum if watches are brought for Rs. 200 and sold for Rs. 425
Profit = Rs. (425 - 200) = Rs. 225
Profit of 9 watches = Rs. 225 x 9 = Rs.2,025.

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Q:

One who sacrifices his life for a cause

One_who_sacrifices_his_life_for_a_cause1552994742.jpg image

A) Patriot	B) Soldier
C) Martyr	D) Revolutionary

Answer & Explanation Answer: C) Martyr

Explanation:

One who sacrifices his life for a cause is called as Martyr.

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Q:

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

A) 145	B) 165
C) 175	D) 135

Answer & Explanation Answer: C) 175

Explanation:

Given that,

working days = 5

working hours = 8

A man get rupess per hour is Rs.2.40

So in one day the man get total rupees is 2.40 x 8 = 19.2

So in 5 days week the man get total rupees is 19.2 x 5 = 96

So in 4 week the man get total rupees is 96 x 4 = 384

So the man worked for = 160hours in 4 weeks

But given that the man earned Rs.432

Hence remaning money is (432-384 = 48)which is earn by doing overtime work

Overtime hours = 48/3.20 = 15

So total worked hours is = 15 + 160 = 175.

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Q:

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?

A) 76%	B) 72%
C) 80%	D) 82%

Answer & Explanation Answer: C) 80%

Explanation:

circumference of A = $2 πr$ = 8 => so r = $\frac{4}{π}$
volume = $π \times {(\frac{4}{π})}^{2} \times 10$ = $\frac{160}{π}$
circumference of B = $2 πr$ = 10 => so r = $\frac{5}{π}$
volume = $π \times {(\frac{5}{π})}^{2} \times 8$ = $\frac{200}{π}$
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

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Q:

36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ?

A) 5	B) 6
C) 7	D) 8

Answer & Explanation Answer: A) 5

Explanation:

The following arrangements satisfy all 3 conditions.

Arrangement 1: 3 books in a row; 12 rows.

Arrangement 2: 4 books in a row; 9 rows.
Arrangement 3: 6 books in a row; 6 rows.
Arrangement 4: 9 books in a row; 4 rows.
Arrangement 5: 12 books in a row; 3 rows.

Therefore, the possible arrangements are 5.

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Q:

The G-7 is a group consisting of ?

A) the heads of the states of US, UK, France, Germany, Italy, Canada and Japan	B) the heads of the states of US, UK, France, Germany, Russia, Italy and Japan
C) the finance ministers of US, UK, France, Germany, Italy, Canada and Japan	D) the heads of the states of US, UK, France, Germany, Russia, Canada and Japan

Answer & Explanation Answer: C) the finance ministers of US, UK, France, Germany, Italy, Canada and Japan

Explanation:

The finance ministers of US, UK, France, Germany, Italy, Canada and Japan is called as G-7 group.

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Q:

Find the logic in the given puzzle?

Find_The_Logic_In_The_Question1565001003.jpg image

Answer

Given that, a woman has seven children. Half of them are boys.

Half of 7 is 3.5 which is not possible. And it is possible in only one way that all the children must be boys. Then half of them are boys.

Workspace

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