1
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile contains a total of 5692000 fruits, how many of them are apples?
A
2029198
B
2467482
C
2789080
D
3577422
2
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun's place?
A
3.00
B
4.99
C
6.02
D
7.01
3
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
4
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
If x>y>1, which of the following must be true? $$$\begin{array}{l}\mathrm i.\;\ln\left(\mathrm x\right)>\ln\left(\mathrm y\right)\;\;\;\;\;\;\;\;\;\;\mathrm{ii}.\;\;\mathrm e^\mathrm x>\mathrm e^\mathrm y\\\mathrm{iii}.\;\mathrm y^\mathrm x>\mathrm x^\mathrm y\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\mathrm{iv}.\;\cos\left(\mathrm x\right)>\cos\left(\mathrm y\right)\end{array}$$$
A
(i) and (ii)
B
(i) and (iii)
C
(iii) and (iv)
D
(ii) and (iv)
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