GATE Questions

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 4096
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 4095
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 4095
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 4095
Q:

Ornate is the opposite of

A) Offensive B) Elegant
C) Fancy D) Lavish
 
Answer & Explanation Answer: A) Offensive

Explanation:

Ornate means which is beautiful, lavish one. Opposite of Ornate is ugly, offensive, dull or plain.

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Filed Under: English
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1 4095
Q:

What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520?

A) 3.5% B) 4%
C) 5% D) 6.5%
 
Answer & Explanation Answer: C) 5%

Explanation:

Let 'R%' be the rate of interest

From the given data,

25202400 = 1 + R10041 + R10031 + R100 = 6360R = 5

 

Hence, the rate of interest R = 5% per annum.

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19 4094
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 4094
Q:

The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ?

A) 28 B) 19
C) 37 D) 17
 
Answer & Explanation Answer: D) 17

Explanation:

Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 8 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 1 and Q = 7
The required number is = 17

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Filed Under: Problems on Numbers
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