GATE Questions

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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Filed Under: Ratios and Proportions
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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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8 8779
Q:

Which of the following vitamin helps in clotting of blood?

A) Vitamin K B) Vitamin D
C) Vitamin B1 D) Vitamin B2
 
Answer & Explanation Answer: A) Vitamin K

Explanation:

Vitamin K helps in clotting of blood. It is used by the body to help blood clot.

 

Warfarin (Coumadin) is used to slow blood clotting. By helping the blood clot, vitamin K might decrease the effectiveness of warfarin (Coumadin).

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Filed Under: Biology
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3 8777
Q:

Solve the Riddle?

bana1522056999.jpg image

A) 79 hrs B) 72 hrs
C) 52 hrs D) 18 hrs
 
Answer & Explanation Answer: D) 18 hrs

Explanation:

From the given data,

18 snakes can eat 18 bananas in 18 hrs.

=> 1 snake can eat 1 banana in 18 hrs

=> 79 snakes can eat 79 bananas in 18 hrs.

 

Hence, 18 hrs.

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Q:

The main element used in the vulcanisation of rubber is

A) nickel B) copper
C) sulphur D) graphite
 
Answer & Explanation Answer: C) sulphur

Explanation:

In vulcanization, cruder rubber is heated with 3% sulphur at about for 1200C for 2-3 hours.

Vulcanised rubber is a vastly improved product.

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Q:

The earliest city discovered in India was

A) Sindh B) Mohenjodaro
C) Harappa D) Rangpur
 
Answer & Explanation Answer: C) Harappa

Explanation:

Harappa was the earliest city discovered in India.

harappa-gateway1540362064.jpg image

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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 8762
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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Filed Under: Volume and Surface Area
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