1
GATE CE 2018 Set 1
+2
-0.6
Which of the following function(s) is an accurate description of the graph for the range(s) indicated? \eqalign{ & (i)\,\,y = 2x + 4\,for\, - 3 \le x \le - 1 \cr & (ii)\,y = \,|x - 1|\,for\, - 1 \le x \le 2 \cr & (iii)\,y = \,\left| {\left| x \right| - 1} \right|\,for\, - 1 \le x \le 2 \cr & (iv)\,y = 1\,for\,2 \le x \le 3 \cr}
A
(i), (ii) and (iii) only.
B
(i), (ii) and (iv) only.
C
(i) and (iv) only.
D
(ii) and (iv) only.
2
GATE CE 2018 Set 1
+2
-0.6
Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A $$\times$$ B $$\times$$ C), (B $$\times$$ G $$\times$$ E) and (D $$\times$$ E $$\times$$ F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F or G?
A
4
B
5
C
6
D
9
3
GATE CE 2018 Set 1
+2
-0.6
Consider a sequence of numbers $${a_1},{a_2},{a_3},....,{a_n}$$ where $${a_n} = {1 \over n} - {1 \over {n + 2}}$$, for each integer n > 0. What is the sum of the first 50 terms?
A
$$\left( {1 + {1 \over 2}} \right) - {1 \over {50}}$$
B
$$\left( {1 + {1 \over 2}} \right) + {1 \over {50}}$$
C
$$\left( {1 + {1 \over 2}} \right) - \left( {{1 \over {51}} + {1 \over {52}}} \right)$$
D
$$1 - \left( {{1 \over {51}} + {1 \over {52}}} \right)$$
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Irrigation
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Joint Entrance Examination