1
GATE ME 2018 Set 1
+2
-0.67
For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?
A
-3 and 3
B
-1 and 1
C
-1 and 3
D
1 and 3
2
GATE ME 2018 Set 1
+2
-0.67
Which of the following functions describe the graph shown in the below figure?
A
y = ||x| + 1| - 2
B
y = ||x| - 1| - 1
C
y = ||x| + 1| - 1
D
y = ||x - 1| - 1|
3
GATE ME 2018 Set 1
+2
-0.67
From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?
A
210 and 140
B
162.5 and 187.5
C
245 and 130
D
175 and 200
4
GATE ME 2018 Set 1
+2
-0.67
Consider the following three statements:

(i) Some roses are red.

(ii) All red flowers fade quickly.

Which of the following statements can be logically inferred from the above statements?
A
If (i) is true and (ii) is false, then (iii) is false.
B
If (i) is true and (ii) is false, then (iii) is true.
C
If (i) and (ii) are true, then (iii) is true.
D
If (i) and (ii) are false, then (iii) is false.
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