1
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
It takes 10 s and 15 s, respectively, for two trains traveling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
A
2.0
B
10.0
C
12.0
D
22.0
2
GATE ECE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is 1/6 and that of Ramesh is 1/8. What is the probability that only one of them will be selected?
A
47/48
B
1/4
C
13/48
D
35/48
3
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
If $$\log_x\left(\frac57\right)=\frac{-1}3$$, then the value of x is
A
343/125
B
125/343
C
-25/49
D
-49/25
4
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Operators $$\square$$,◊,$$\rightarrow$$ are defined by : a $$\square$$ b = $$\frac{a-b}{a+b}$$; a ◊ b = $$\frac{a+b}{a-b}$$; a $$\rightarrow$$ b = ab. Find the value of (66 $$\square$$ 6) $$\rightarrow$$ (66 ◊ 6).
A
-2
B
-1
C
1
D
2
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