CAT Questions

---

Cast iron is a group of iron-carbon alloys with a carbon content greater than 2% and is a brittle material.

Its usefulness derives from its relatively low melting temperature.

The Constitution lists 27 expressed powers of Congress. It include power to declare war, levy taxes, regulate commerce and currency.

Congress's other expressed powers are wide-ranging, including:

The power to establish rules to allow foreign-born immigrants to become citizens of the United States

The power to make rules for bankruptcies

The power to punish counterfeiters

The power to set up a national post office

The power to provide for copyrights and patents to protect the work of inventors and artists

The power to organize all federal courts below the Supreme Court

The power to punish pirates

The power to hire pirates to attack foreign enemies

The power to make rules to regulate the conduct of the armed forces

The power to call out the militia to defend the country from invasions or insurrections

The power to organize and discipline the militiary

The power to govern the federal capital (Washington, DC)

The power to acquire lands from the states for use by the federal government

The power to make all Laws which shall be necessary and proper for carrying into Execution the foregoing powers.

We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2

Hence, the 49th term is -2.

Multiplicative inverse is nothing but a reciprocal of a number. 

It is defined as one of a pair of numbers that when multiplied with another number equals the number 1.

Multiplicative inverse or reciprocal of 7 is 

7 x n = 1

=> n = 1/7.

Hence, Multiplicative inverse or reciprocal of 7 is  1/7.

Tractor was the single most important invention to farmers.

Land is considered as an important resource because it is useful in producing many things. For example, in agriculture, land is used for cultivating the crop, in industrial use, it is used for constructing factories and to make products that we use.

The ancient goal of astrology was to predict human events.

From the given circuit,

The resistors R1 and R2 are in parallel connection and R3 is in series with R1 & R2

The equivalent resistance of R1 and R2 is

Req = (12 × 4)/(12 + 4) = 3 Ω.

Adding R3 in series with the pair gives

R = Req + 9

R = 3 + 9

R = 12 Ω.