GATE-CS-2014-(Set-3) - GeeksforGeeks

19 Oct, 2021
Given series is 2,5,10,17,26,37,50,64.

Here total number of terms are 8..i.e. A(1) to A(8).

For the 1st 7 terms, you can observe the relationship 
between the terms which is 
A(n) = [ A(n-1) - {A(n-1) + A(n-2)} + 2 ] where n >= 3

Now for the 8th term i.e. A(8), this relationship violates.
According to the relationship,
A(8) = [A(7) + {A(7) - A(6)} + 2 ]
= [50 + {50 - 37} + 2 ]
= 50 + 13 + 2
= 65.
But in the series it is 64. Hence 64 doesn't belong to 
the series. 
As you can see from each row that the total number of
students in the class are 44.

Now we have to find the total number of marks obtained
by the class.

Marks are given for correct answers only. 
No negative or partial marking.

For 1st question total marks obtained are : 2*21 = 42
For 2nd question total marks obtained are : 3*15 = 45
For 3rd question total marks obtained are : 2*23 = 46

hence total marks obtained by the class are = 42+45+46 = 133

Now, Average marks obtained = Total Marks/Total no of students
= 133/44
= 3.02
Hence C is the answer.
A is not the appropriate instruction as only the participating students and their parents have to come at 9.00 a.m. and other students along with their parents have to come at 10.00 a.m., while the statement in A says that all students should come at 9.00 a.m. and all the parents should come at 10.00 a.m.
B is the appropriate instruction and covers all the aspects of the information to be conveyed.
C is not the appropriate instruction as the non participating students have to come at 10.00 a.m. with their parents, while the statement in B says that these students have to come without their parents.
D is not the appropriate instruction as it states that the participating students have to come before 9.00 a.m. whereas they have to come at 9.00 a.m.
(i) Our understanding of the universe changes
    based on the positions of stars
(ii) Paradigm shifts usually occur at the
     beginning of centuries
(iii) Stars are important objects in the
      universe
(iv) Experimental evidence was important in
     confirming this paradigm shift 

Suppose original GDP was x then its international
value is x/50. 

Now GDP becomes 107*x/100 and its international 
value becomes (107x/100)/60= 107x/6000.

The value has decreased by (x/50)-(107x/6000).  
Percentage approx 10.8% = 11%

Number of female students in 2011 and 2012 are equal.
Suppose they are x.

Now,
Males students in 2011 = Female students in 2011 
                       = x (as the ratio is 1)

And in 2012, Male students / Female students = 
                                       1.5(Given)

Hence Male students in 2012 = 1.5 * Female students 
                            = 1.5 * x

Now ratio of Male students in 2012 to Male students
in 2011 = ( 1.5 * x ) / x
        = 1.5 / 1
i.e. 1.5 : 1

Hence C is the answer. 
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