Ques 1Aptitude

The ratio of boys to girls in class is 7 to 3. Among the options below, an acceptable value for the total number of students in the class is

a. 21
b. 37
c. 50
d. 73

Ques 2Aptitude

Consider the following sentences:
(i) Everybody in the class is prepared for the exam.
(ii) Babu invited Danish to his home because he enjoys playing chess.
Which of the following is the CORRECT observation about the above two sentences?

a. (i) is grammatically incorrect and (ii) is unambiguous
b. (i) is grammatically correct and (ii) is unambiguous
c. (i) is grammatically correct and (ii) is ambiguous
d. (i) is grammatically incorrect and (ii) is ambiguous

Ques 3Aptitude

_____ is to surgery as writer is to ____
Which one of the following options maintains a similar logical relation in the above sentence?

a. Doctor, book
b. Hospital, library
c. Medicine, grammar
d. Plan, outline

Ques 4Aptitude

We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm 1cm × each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is _______.

a. 9/π
b. 3π
c. π/2
d. 3/π

Ques 5Aptitude

Given below are two statements 1 and 2, and two conclusions I and II.
Statement 1 : All bacteria are microorganisms.
Statement 2 : All pathogens are microorganisms.
Conclusion I : Some pathogens are bacteria.
Conclusion II : All pathogens are not bacteria.
Based on the above statements and conclusions, which one of the following options is logically CORRECT?

a. Only conclusion I correct.
b. Only conclusion II is correct.
c. Either conclusion I or II is correct.
d. Neither conclusion I nor II is correct.

Ques 6Aptitude

Some people suggest Anti-Obesity Measures (AOM) such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems that cause obesity, poverty and income inequality.
Which one of the following statements summarizes the passage?

a. AOM are addressing the core problems and are likely to succeed.
b. The proposed AOM addresses the core problems that cause obesity.
c. AOM are addressing the problem superficially.
d. If obesity reduces, poverty will naturally reduce, since obesity causes poverty.

Ques 7Aptitude

A principal amount is charged a nominal annual interest rate of 10 %. If the interest rate is compounded continuously, the final amount at the end of one year would be

a. Higher than the amount obtained when the interest rate is compounded monthly.
b. Equal to 1.365 times the principal amount.
c. Lower than the amount obtained when the interest rate is compounded annually.
d. Equal to the amount obtained when using an effective interest rate of 27.18 %.

Ques 8Chemical Engineering

A batch settling experiment is performed in a long column using a dilute dispersion containing equal
number of particles of type A and type B in water (density 3 1000 kg m^-3) at room temperature.
Type A are spherical particles of diameter 30 mμ and density 3 1100 kg m^-3 .
Type B are spherical particles of diameter 10 mμ and density 3 1900 kg m^-3.
Assuming that Stoke’s law is valid throughout the duration of the experiment, the settled bed would

a. Consist of type B particles only.
b. Be completely segregated with type B particles on top of type A particles.
c. Consist of a homogeneous mixture of type A and type B particles.
d. Be completely segregated with type A particles on top of type B particles

Ques 9Chemical Engineering

The heat of combustion of methane, carbon monoxide and hydrogen are P, Q and R respectively. For the reaction below,
CH₄+ H₂→CO+ 3H₂
The heat of reaction is given by

a. Q+3R-P
b. Q+R-P
c. P-Q-3R
d. P-Q-R

Ques 10Chemical Engineering

Heat transfer coefficient for a vapor condensing as a film on a vertical surface is given by

a. Dittus-Boelter equation
b. Chilton-Colburn analogy
c. Sieder-Tate equation
d. Nusselt theory

Ques 11Chemical Engineering

A feedforward controller can be used only if

a. the disturbance variable can be ignored
b. regulatory control is not required
c. the disturbance variable can be measured
d. the disturbance variable can be manipulated

Ques 12Chemical Engineering

A source placed at the origin of a circular sample holder(radius 1 m) r = emits particles uniformly in all directions. A detector of lengthl =1 cm has been placed along the perimeter of the sample holder. During an experiment, the detector registers 14 particles.
The total number of particles emitted during the experiment is _______.

Ques 13Chemical Engineering

A company invests in a recovery unit to separate valuable metals from effluent streams. The total initial capital investment of this unit is Rs. 10 lakhs. The recovered metals are worth Rs. 4 lakhs per year.
If the annual return on this investment is 15%, the annual operating costs should be _______ lakhs of rupees (correct to 1 decimal place)

Ques 14Mathematics

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.
The probability that at least two chocolates are identical is_______.

a. 0.8125
b. 0.6976
c. 0.3024
d. 0.4235