GATE Questions

Q:

If length of a rectangle is decreased by 6 cm we get a square and the area of square formed is 252 cm2 less than the area of square formed when breadth of the original rectangle is increased by 6 cm. Find the perimeter of the rectangle.

A) 66 cm B) 88 cm
C) 80 cm D) 72 cm
 
Answer & Explanation Answer:

Explanation:

Let length and breadth of rectangle be L cm
and B cm respectively So, ATQ
Area1= (L-6)×B
But this is square, so L-6=B
Area1= (L-6) × (L-6)
Case 2, Area2= L × (B+6),
L=B+6
So, Area2= L × L,
Given, Area2-Area1= 252(L)2-(L-6)2=252
Solving this, L= 24
B= 18
Perimeter= 2(L+B)= 2(24+18)= 84 cm

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3 4119
Q:

The carbon tetrachloride molecule (CCl4) is

A) a nonpolar molecule with polar bonds B) a nonpolar molecule with nonpolar bonds
C) a polar molecule with polar bonds D) a polar molecule with nonploar bonds
 
Answer & Explanation Answer: A) a nonpolar molecule with polar bonds

Explanation:

The four bonds of carbon tetrachloride (CCl4) are polar, but the molecule is nonpolar because the bond polarity is cancelled by the symmetric tetrahedral shape. Hence, making the net dipole as zero and molecule as non-polar.

 

When other atoms substitute for some of the Cl atoms, the symmetry is broken and the molecule becomes polar.

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Filed Under: Chemistry
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4 4113
Q:

Size of the primary memory of a pc ranges between

A) 256 kb to 640 kb B) 64 kb to 256 kb
C) 256 kb to 512 kb D) 2 kb to 8 kb
 
Answer & Explanation Answer: A) 256 kb to 640 kb

Explanation:

Size of the primary memory of a PC ranges between 256 KB to 640 KB.

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6 4110
Q:

Which superhero shares a name with a town in Turkey?

A) Batman B) Spiderman
C) Ironman D) None of the above
 
Answer & Explanation Answer: A) Batman

Explanation:

Superhero Batman shares a name with an oil production Batman, a town in Turkey.

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Filed Under: General Awareness
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3 4107
Q:

Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ?

A) 4 : 5 B) 5 : 4
C) 7 : 6 D) 6 : 7
 
Answer & Explanation Answer: A) 4 : 5

Explanation:

Let x be the investment of Lasya in 5% and y be in 4%

x(5)(n)/100 = y(4)(n)/100

=> x/y = 4/5

x : y = 4 : 5

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Filed Under: Simple Interest
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3 4107
Q:

Which of the following Rivers has no Bridges built over it?

A) Nile B) Congo river
C) Amazon river D) Yellow river
 
Answer & Explanation Answer: C) Amazon river

Explanation:

There are No bridges over The Amazon River.

The Amazon River, in South America, is the largest river by discharge volume of water in the world and the second longest in length after The Nile in Egypt.

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Filed Under: General Awareness
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11 4107
Q:

GST Council has decided to keep a total of ________ items in the 28% slab, which was earlier 227.

A) 125 B) 87
C) 100 D) 50
 
Answer & Explanation Answer: D) 50

Explanation:

The GST Council on Nov 10th 2017 cut tax rates of over 175 products that were in the highest tax slab of 28% under the Goods and Services Tax (GST) regime.  

Currently only 50 items have been left in the 28% category out of a total of 227 items that were present earlier.

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Filed Under: Indian Economy
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8 4104
Q:

Expedite is the opposite of

A) halt B) quicken
C) rush D) hasten
 
Answer & Explanation Answer: A) halt

Explanation:

Expedite means making an action fast or sooner i.e, to accomplish a work as quickly as possible.

 

Hence, halt means stop and it is opposite of Expedite.

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Filed Under: English
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