CE GATE 2014 PAPER 02 - Online Test
Q1. The population of a new city is 5 million and is growing at 20% annually. How many years
would it take to double at this growth rate?
Answer : Option A
Explaination / Solution:
(20/140)×8
After 1 year
P = 6
2 years = 7.2
After 3 = (20/100)×1.2
= 8.65
After 4 years = (20/100) × 8.65
= 10
Time will be in between 3−4 years.
Q2. In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest
in the group. Which of the following statements is/are required to find the eldest child in the
group?
Statements :
1. Shiv is younger to Riaz.
2. Shiv is elder to Som.
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. Moving into a world of big data will require us to change our thinking about the merits of
exactitude. To apply the conventional mindset of measurement to the digital, connected world
of the twenty-first century is to miss a crucial point. As mentioned earlier, the obsession with
exactness is an artefact of the information-deprived analog era. When data was sparse, every
data point was critical, and thus great care was taken to avoid letting any point bias the
analysis. From “BIG DATA” Viktor Mayer-Schonberger and Kenneth Cukier
The main point of the paragraph is:
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. The total exports and revenues from the exports of a country are given in the two pie charts
below. The pie chart for exports shows the quantity of each item as a percentage of the total
quantity of exports. The pie chart for the revenues shows the percentage of the total revenue
generated through export of each item. The total quantity of exports of all the items is 5 lakh
tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated
through export of Item 1 per kilogram to the revenue generated through export of Item 4 per
kilogram?
Answer : Option D
Explaination / Solution:
revenue generated through export
of item1 Kg
Q5. A student riding a bicycle on a 5 km one-way street takes 40 minutes to reach home. The
student stopped for 15 minutes during this ride. 60 vehicles overtook the student (assume the
number of vehicles overtaken by the student is zero) during the ride and 45 vehicles while the
student stopped. The speed of vehicle stream on that road (in km/hr) is
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. A fair (unbiased) coin was tossed four times in succession and resulted in the following
outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtaining a 'Tail' when
the coin is tossed again is
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. 
can be expressed as
can be expressed as
Answer : Option C
Explaination / Solution:
Q8. The integrating factor for the differential equation 
Answer : Option D
Explaination / Solution:
The standard form of Linear differential equations is
Q9. If {x} is a continuous, real valued random variable defined over the interval (−∞,+∞) and its occurrence is defined by the density function given as: 
where ‘a’ and
‘b’ are the statistical attributes of the random variable {x}. The value of the integral 
dx is
where ‘a’ and
‘b’ are the statistical attributes of the random variable {x}. The value of the integral dx is
Answer : Option B
Explaination / Solution:
Q10. The expression 
is equal to
is equal to
Answer : Option A
Explaination / Solution:
By L’ Hospital rule,
