A cab was involved in a hit and run accident at night. You are given the following data about the cabs in
the city and the accident.
(i) 85% of cabs in the city are green and the remaining cabs are blue.
(ii) A witness identified the cab involved in the accident as blue.
(iii) It is known that a witness can correctly identify the cab colour only 80% of the time.
Which of the following options is closest to the probability that the accident was caused by
a blue cab?
A
41%
B
15%
C
12%
D
80%
2
GATE ECE 2018
MCQ (Single Correct Answer)
+2
-0.67
Two alloys A and B contain gold and copper in the ratios of 2 : 3 and 3 : 7 by mass, respectively. Equal
masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is
A
6 : 11
B
5 : 10
C
7 : 13
D
9 : 13
3
GATE ECE 2018
MCQ (Single Correct Answer)
+2
-0.67
Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount
in Rupees that she should deposit now in a bank which offers 10% annual rate of interest, if the interest
was compounded annually?
A
5,00,000
B
6,21,000
C
6,66,667
D
7,50,000
4
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.67
A contour line joins locations having the same height above the mean sea level. The following is a contour
plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.
Which of the following is the steepest path leaving from P?
