ME GATE 2011 - Online Test
Q1. One unit of product P1 requires 3 kg of resource R1 and 1kg of resource R2 . One unit of product P2 requires 2kg of resource R1and 2kg of resource R2. The profits per unit by selling product P1 and P2 are Rs.2000 and Rs.3000 respectively. The manufacturer has 90kg of resource R1 and 100kg of resource R2.
The manufacturer can make a maximum profit of Rs.
Answer : Option B
Explaination / Solution:
Optimum solution is: 0, 45 and maximum profit = Rs.135000
Q2. If Log (P) = (1/2)Log (Q) = (1/3) Log (R), then which of the following options is
TRUE?
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. A container originally contains 10 litres of pure spirit. From this container 1 litre
of spirit is replaced with 1 litre of water. Subsequently, 1 litre of the mixture is
again replaced with 1 litre of water and this process is repeated one more time.
How much spirit is now left in the container?
Answer : Option D
Explaination / Solution:
Q4. Few school curricula include a unit on how to deal with bereavement and
grief, and yet all students at some point in their lives suffer from losses
through death and parting.
Based on the above passage which topic would not be included in a unit on
bereavement?
Answer : Option C
Explaination / Solution:
The given passage clearly deals with how to deal with bereavement and grief and
so after the tragedy occurs and not about precautions. Therefore, irrespective of
the causes of death, a school student rarely gets into details of causes—which is
beyond the scope of the context. Rest all are important in dealing with grief.
Q5. P, Q, R and S are four types of dangerous microbes recently found in a human
habitat. The area of each circle with its diameter printed in brackets represents
the growth of a single microbe surviving human immunity system within 24 hours
of entering the body. The danger to human beings varies proportionately with the
toxicity, potency and growth attributed to a microbe shown in the figure
below
A pharmaceutical company is contemplating the development of a vaccine
against the most dangerous microbe. Which microbe should the company target
in its first attempt?
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. A transporter receives the same number of orders each day. Currently, he has
some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the
end of the 4th day he can clear all the orders. Alternatively, if he uses only 3
trucks, then all the orders are cleared at the end of the 10th day. What is the
minimum number of trucks required so that there will be no pending order at the
end of the 5th day?
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. A series expansion for the function sinθ is
Answer : Option B
Explaination / Solution:
Q8. What is 
equal to?
equal to?
Answer : Option D
Explaination / Solution:
Applying L’ Hospitals rule, we have 
Q9. Eigen values of a real symmetric matrix are always
Answer : Option C
Explaination / Solution:
Eigen values of a real symmetric matrix are always real
Q10. The product of two complex numbers 1 + i and 2-5i is
Answer : Option A
Explaination / Solution:
(1 + i)(2 -5i) = 2 - 5i + 2i + 5 = 7 - 3i
