ME GATE 2016 - Online Test
Q1. The tool life equation for HSS tool is 𝑉𝑇0.14𝑓0.7𝑑0.4 = Constant.
The tool life (T) of 30 min is obtained using the following cutting
conditions:
V = 45 m/min, f = 0.35 mm, d = 2.0 mm
If speed (V), feed (f) and depth of cut (d) are increased individually
by 25%, the tool life (in min) is
Answer : Option B
Explaination / Solution:
Given tool lite equation
𝑉𝑇0.14𝑓0.7𝑑0.4 = C
T = 30 min
And V = 45 m/min, f = 0.35 mm, d = 2.0 mm
After increasing 25%, we get
v’ = 56.25 m/min,
f’ = 0.4375 mm
d’= 2.5 mm
Q2. A cylindrical job with diameter of 200 mm and height of 100
mm is to be cast using modulus method of riser design. Assume that
the bottom surface of cylindrical riser does not contribute as cooling
surface. If the diameter of the riser is equal to its height, then the
height of the riser (in mm) is
Answer : Option A
Explaination / Solution:
Given that 
for casting dc = 200 mm, hc = 100 mm
for river dr = hr
According to modules method
Q3. Which of the following is CORRECT with respect to grammar and
usage? Mount Everest is ____________.
Answer : Option A
Explaination / Solution:
The sentence is stating the highest peak in the world. Since
it is a specific thing, we need to use the definite article ‘the’ before it.
Also the sentence is using the superlative degree and so we say ‘the
highest peak in the world’ making option 1 the correct answer. There
cannot be many highest peaks in the world and so options 3 and 4
are incorrect.
Q4. Despite the new medicine’s ______________ in treating diabetes, it is not
_____________widely.
Answer : Option A
Explaination / Solution:
The sentence is looking for a contrast as it is joined by the
conjunction ‘despite’. The best pair of words that can fit the context
of the sentence is ‘effectiveness…prescribed’. Though the medicine is
‘effective’ in treating diabetes, it is not being ‘prescribed’ widely. A
new medicine cannot have a ‘prescription’ or ‘availability’ for treating
a disease. ‘Proscribed’ means forbidden by law. In case we use
‘acceptance…proscribed’ the sentence will not make any sense
because it will mean that though the medicine is accepted widely, it is
not forbidden by law.
Q5. 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?
Answer : Option A
Explaination / Solution:
Let T = total no of fruits = 5692000
R = Ripe fruits
U = Unripe fruits
A = Apple
O = Oranges
Given U = 15% of T : 15/100 × 5692000=853800
R = T – U= 4838200
A(U) = 45% of U: 45/100 × 853800 = 384210
A(R) = (100-66)% of R: 34/100 × 4838200 = 1644988
∴ A(U) + A(R) = 2029198
Q6. 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?
Answer : Option C
Explaination / Solution:
In question it is given that Ahmed is 5Km away and Susan is 7Km
away from where I live. Further it is given that Arun is farther away
than Ahmed from where I live and not as far as Susan. That means
Arun must be living at distance more than 5Km but less than 7Km
from my house which is according to given options can be 6.02Km.
Note: Information about Michal is unnecessary and just given to
confuse.
Q7. A person moving through a tuberculosis prone zone has a 50%
probability of becoming infected. However, only 30% of infected
people develop the disease. What percentage of people moving
through a tuberculosis prone zone remains infected but does not
show symptoms of disease?
Answer : Option C
Explaination / Solution:
Percentage probability of being infected = P(A) = 50%
Percentage probability of infected person developing disease is having
system, = P(B) = 30%
∴ Percentage probability of infected person not showing symptoms = 
= 70%
= 70%Percentage probability of person moving though a TB prone zone
remaining infected but not showing symptoms = P(A).
= 50/100 × 70/100 = 35%
= 50/100 × 70/100 = 35%
Q8. Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is
older than Leela. When Pavithra and Shiva are visiting Leela, all three
like to play chess. Pavithra wins more often than Leela does. Which
one of the following statements must be TRUE based on the above?
Answer : Option D
Explaination / Solution:
According to given information the points we got are
a) Shiva is brother of Pavithra
b) Shiva and Pavithra are cousins of Leela
c) According to their ages Shiva > Leela > Pavithra
d) They all live play chess
e) Pavithra wins more often than Leela but information about
winning cases of Shiva is not given.
So from the given options statement which is clearly true is that
Pavithra is the youngest of all.
Q9. If q-a = 1/r and r-b = 1/s and S-c = 1/q, the value of abc is _______
Answer : Option C
Explaination / Solution:
∴ a log q = log r -------(1)
And b log r = log s ------(2)
And c log s = log q -----(3)
Multiplying equations (1), (2) and (3)
abc (log q) (log r)(log s) = (log r)(log s)(log q)
∴ abc = 1
Q10. P, Q, R and S are working on a project. Q can finish the task in
25 days, working alone for 12 hours a day. R can finish the task in 50
days, working alone for 12 hours per day. Q worked 12 hours a day
but took sick leave in the beginning for two days. R worked 18 hours
a day on all days. What is the ratio of work done by Q and R after 7
days from the start of the project?
Answer : Option C
Explaination / Solution:
After 7 days from start of project:
Q took sick leave on first 2 days
∴ Man hours by Q = 5×12
∴ Work done by Q = 5 × 12 × 1/(25×12) = 1/5
Man hours by R = 7×18
∴ Work done by R = 1/(50×12) × 7 × 18 = 21/100
∴ Ratio of work done by Q to work done by R = 1/5:21/100 = 100/(5×21) = 20/21
