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
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
3
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?
A
P to Q
B
P to R
C
P to S
D
P to T
4
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.67
Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y married and have two children
P and Q, Z is grandfather of the daughter ‘S’ of P. Further Z and W married and are parents of R. Which
one of the following must necessarily be FALSE?
