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
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
$$1 - \left( {{1 \over {51}} + {1 \over {52}}} \right)$$
3
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
GATE CE Subjects
Engineering Mechanics
Construction Material and Management
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
General Aptitude
EXAM MAP
Medical
NEET