CAT Questions

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From the trial and error method of division,

201 is divisible by 3

205 is divisible by 5

203 is divisible by 7

Hence, after eliminating three options, remained is 211 and is divisible by only 1 and itself. 

Therefore, 211 is the smallest prime number greater than 200.

Kerala state become the first to have four International Airports with Kannur Airport.

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.

Cricket World cup Year wise winners list from its starting year.

Year  -  Winner score

1975  -  West Indies 

1979  -  West Indies 

1983  -  India 

1987  -  Australia 

1992  -  Pakistan 

1996  -  Sri Lanka 

1999  -  Australia 

2003  -  Australia 

2007  -  Australia 

2011  -  India 

2015  -  Australia 

Australia won most number of titles i.e, 5 times Cricket World Cup title.

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.

The credit of inventing the television goes to Philo Farnsworth. Electronic television was first successfully demonstrated in San Francisco on Sept. 7, 1927.