CS GATE 2013 - Online Test
Q1. Suppose p is number of cars per minute passing through a certain road junction between 5
PM and 6PM, and p has a Poisson distribution with mean 3. What is the probability of
observing fewer than 3 cars during any given minute in this interval?
Answer : Option C
Explaination / Solution:
Q2. What is the logical translation of the following statement?
“None of my friends are perfect.”
Answer : Option D
Explaination / Solution:
“None of my friends are perfect”
Q3. Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at
random. What is the probability that the selected number is not divisible by 7?
Answer : Option D
Explaination / Solution:
The number of 2 digit multiples of 7 = 13
∴ Probability of choosing a number
Not divisible by 7 = (90-13)/90 = 77/90
Q4. Find the sum of the expression
Answer : Option B
Explaination / Solution:
The expression can be written as
Q5. The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by
1/5 of the current wages and the working hours decrease by 1/24 of the current period, then
the new cost of erection in Rs. is
Answer : Option B
Explaination / Solution:
Let ‘W’ be the labour wages, and ‘T’ be the working hours.
Now, total cost is a function of W × T
Increase in wages = 20%
∴ Revised wages = 1.2 W
Decrease in labour time = (100/24)%
∴ Re vised time = (1-(1/24))T = (23/24)T
Re vised Total cost = 1.2 × (23/24)WT = 1.15WT
= 1.15 × 13200 = 15180
