GATE Questions

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Letters of the alphabet used in ancient Rome to represent numbers:

I = 1;

V = 5;

X = 10;

L = 50;

C = 100;

D = 500;

M = 1000.

The numbers one through ten are written I, II, III, IV, V, VI, VII, VIII, IX, and X.

Let the smaller number be 'm'

Then, from the given data, the larger number is '3m'

Given that m + 3m = 44

=> 4m = 44

m = 44/4 = 11

=> m = 11

=> 3m = 3 x 11 = 33

Hence, the two numbers are 11 and 33.

Energy is measured in units called Joules.

Joule is unit of work or energy in the International System of Units (SI) which is equal to the work done by a force of one newton acting through one metre.

1 Joule  =  10⁷ ergs or 0.7377 foot-pounds.

Race : Fatigue :: Fast : Hunger

The first word causes the second.

Here given the required digit number is 4 digit.

It must be divisible by 5. Hence, the unit's digit in the required 4 digit number must be 0 or 5. But here only 5 is available.

x x x 5

The remaining places can be filled by remaining digits as 5 x 4 x 3 ways.

Hence, number 4-digit numbers can be formed are 5 x 4 x 3 = 20 x 3 = 60.

The Word LOGARITHMS  contains 10 letters.

To find how many 4 letter words we can form from that = P410 =10x9x8x7 = 5040.

HURRAYS.