Questions 33-36 are on passage, which i am sure need not be discussed.
In terms of current annual human caused greenhouse gas emissions
a) the US is responsible for both the highest per capita & total emissions.
b) China is responsible for the highest total ( but not per capita) emissions.
c) China is responsible for highest per capita & total emissions.
d)the US is responsible for the highest total ( but not per capita) emissions.
Answer-b QUES 38
Utensils worth Rs 1,500 are produced with steel costing Rs 750 and other materials costing Rs 150. Labour cost of producing these utensils is Rs 150 and depreciation of machinery is 0. The value added in producing these utensils is:
a) Rs 450
b) Rs 600
c) Rs 750
d) None of the above
Answer-b QUES 39
During the last two decades of the 20th century , India's labour force has grown at the rate of:
a) 1.5% per annum
b) 2.5% per annum
c) 3.5% per annum
d) 4.5% per annum
Answer- QUES 40
Answer-b QUES 41
Answer-c QUES 42
Let P(n,m) be a property about two integers n and m. If we want to disprove the claim that 'for every integer n, there exists an integer m such that P(n,m) is true', then we need to prove that
a) there exist integers n, m such that P(n,m) is false.
b) there exist an integer m such that P(n,m) is false for all integers n.
c) there exists an integer n such that P(n,m) is false for all integers m.
d) for every integer n, there exists an integer m such that P(n,m) is false.
Answer-c QUES 43
Let X, Y, Z be statements. Suppose we know that ' X is true implies Y is true' , and 'X is false implies Z is true'. If we know that Z is false, then we can conclude that
a) both X and Y are true
b) both X and Y are false
c) X is true and Y is false
d) X is false and Y is true
Answer-a QUES 44
Answer-b QUES 45
Suppose one wishes to prove that "if some X are Y, then some Z are W". To do this, it would suffice to show that:
Answer-c QUES 46
The annual average rate of employment generation in India during the decade of 1990s, compared to 1980s, was approximately
For ques 43:
Given:X is true => Y is true.
X is false => Z is true.
Z is false.
If Z is false is given, we can conclude that X is true. And now X is true implies Y is true (given). So, both X & Y are true. part - a.
For ques 44 :
X => Y, Y => Z
Its given that Y is false.
Now , Y is false , we cant conclude anything about Z . Z could be true/ false.
But X implies Y . And Y is false , then it must be that X is false.
( X=> Y, negation of this ~X=> ~Y)