Thus, among all the options we can see the largest value is obtained in option B
Alternatively, you could have also analyzed that all the options will generate a negative value except option B. hence that is the largest.
The correct answer is B.
Question 3:
If [a] represents least integer greater than or equal to a, what is the value of [–3.3] + [–2.9] + [0.1] + [1] + [1.9] ?
(A) –1
(B) –2
(C) –3
(D) –4
(E) –5
Since [a] represents the least integer greater than or equal to a, this implies that if a is an integer than [a] = a only. But if a is a fraction than, [a] = the least integer greater than a.
Thus, [-3.3]=-3
And,[-2.9]=-2
And,[0.1]=1
And,[1]=1
And,[1.9]=2
Hence, [-3.3]+[-2.9]+[0.1]+[1]+[1.9]
=-3-2+1+1+2
=-1
The correct answer is A.
Question 4:
In which of the following functions, is f(x) = f(1/x), for all values of x greater than 1?
In a sequence, an + 2 = an + 1 – an + (n + 2) for all n ≥1, where an + 2 represents the (n + 2)th term. If the second and the fourth terms of the sequence are 2 and 5 respectively then what is the value of the 6th term of the sequence?
(A) 5
(B) 7
(C) 8
(D) 9
(E) None of these
For n≥1,
a(n + 2) = a(n + 1) - an + (n + 2) ……Equation(1)
Putting value of n = 2 in the above equation, we get:
a4 = a3 - a2 + (2 + 2)
In the question, it’s also mentioned that a2 = 2 , a4 = 5. Putting in the above equation, we get the value of a3 = 3
Now by putting value of n = 3 in equation(1), we get:
a5 = a4 - a3 + (3 + 2)
a5 = 5 - 3 + (3 + 2)
a5 = 7
Now by putting value of n = 4 in equation(1),we get:
