GATE Questions

Q:

Which one of the following is an element?

A) Topaz B) Rruby
C) Diamond D) Sapphire
 
Answer & Explanation Answer: C) Diamond

Explanation:

Here in the given options, Diamond is an element as it is the allotrope of the carbon atom.

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14 8564
Q:

A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ?

A) 22/7 x 24/35 B) 22/7 x 36 x 4
C) 22/7 x 36/5 D) 22/7 x 37/21
 
Answer & Explanation Answer: A) 22/7 x 24/35

Explanation:

Since level of water increased in cylinder by height 4. 

This is because of the rectangular block .

 

Therefore , area of rectangular block immersed in water is 

= 227×6×6×4  

Thats why portion of block immersed in water is 

= (22/7 * 36 * 4) / total vol. of rectangle 

= (22/7 * 36 * 4)/ (7*5*6) 

= (22/7 * 24)/ 35.

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7 8559
Q:

Rs. 7444 is divided among 5 ladies, 3 gents and 3 girls. The ratio of share of a lady, a gents and a girl is 7: 4: 3. What is the share of gents ?

A) Rs. 1595.14 B) Rs. 1793.4
C) Rs. 595.14 D) Rs. 1551.5
 
Answer & Explanation Answer: A) Rs. 1595.14

Explanation:

Ratio of the share of a lady, a gents and a girl is 7 : 4 : 3
No of ladies, gents and girls are 5, 3, 3
Thus effective ratio of ladies, gents and girls is 7 x 5 : 4 x 3 : 3 x 3 = 35 : 12 : 9
so part of gents = (12/56) x 7444 = Rs. 1595.142
so part of 1 gents = 1595.142/3 = Rs. 531.71.

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9 8558
Q:

A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ?

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

Explanation:

Let the original speed and time is S and T
then distance = S x T
Now the speed changes to 2/3S and T is T+20
As the distance is same
S x T = 2/3Sx(T+20)
solving this we get t = 40 minutes
=40/60 = 2/3 hour

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5 8542
Q:

1.12.91 is the first Tuesday. Which is the fourth Thursday of December 91  ?

A) 22.12.91 B) 25.12.91
C) 24.12.91 D) 23.12.91
 
Answer & Explanation Answer: B) 25.12.91

Explanation:

Given that 2.12.91 is the first Tuesday
Hence we can assume that 4.12.91 is the first Thursday

If we add 7 days to 4.12.91, we will get second Thursday
If we add 14 days to 4.12.91, we will get third Thursday
If we add 21 days to 4.12.91, we will get fourth Thursday

=> fourth Thursday = (4.12.91 + 21 days) = 25.12.91.

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32 8529
Q:

The cricket match proved to be a big draw. (Idioms & Phrases)

A) a huge attraction B) a game without any result
C) a keen contest D) a lovely spectacle
 
Answer & Explanation Answer: A) a huge attraction

Explanation:

Here it is an idiom that says The cricket match proved to be a big draw means it stands as a huge attraction.

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2 8517
Q:

Manoj and Satya are ranked seventh and eleventh respectively from the top in a class of 31 students. What will be their respective ranks from the bottom in the class ?

A) 25th and 21st B) 26th and 22nd
C) 20th and 24th D) 24th and 20th
 
Answer & Explanation Answer: A) 25th and 21st

Explanation:

Number of students behind Manoj in rank = (31 - 7) = 24.

So, Manoj is 25th from the bottom.

Number of students behind Satya in rank = (31 - 11) = 20.

So, Satya is 21st from the bottom.

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22 8501
Q:

Which solution has the highest pH?

A) 50.0 mL 0.0500 M calcium hydroxide, Ca(OH)2 (aq) B) 50.0 mL 0.0500 M sodium hydroxide, NaOH (aq)
C) 50.0 mL 0.0500 M nitric acid, HNO3 (aq) D) 50.0 mL 0.0500 M nitrous acid, HNO2 (aq)
 
Answer & Explanation Answer: A) 50.0 mL 0.0500 M calcium hydroxide, Ca(OH)2 (aq)

Explanation:

50.0 mL 0.0500 M calcium hydroxide, Ca(OH)2 (aq) has the highest pH value.

Sodium hydroxide and Calcium hydroxide are strong bases so they completely ionize in solution. Because they ionize at the same rate, and Calcium hydroxide has the higher pH calculated, then Calcium hydroxide, in fact, has the highest pH.

Nitric acid is a strong acid, so it completely ionizes in water. Whilst nitrous acid is a weak acid. Therefore, the nitric acid solution has the LOWEST ph.

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