Q. 1 – Q. 5 carry one mark each.
A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences.
The word closest in meaning to comprehension is
Choose the most appropriate word from the options given below to complete the following sentence.
One of his biggest ______ was his ability to forgive.
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Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently. Which one of the statements below is logically valid and can be inferred from the above sentences?
If y = 5x2 + 3, then the tangent at x = 0, y = 3
A foundry has a fixed daily cost of Rs 50,000 whenever it operates and a variable cost of Rs 800Q, where Q is the daily production in tonnes. What is the cost of production in Rs per tonne for a daily production of 100 tonnes?
Q. 6 – Q. 10 carry two marks each.
Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK
Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an even-numbered floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below Faisal’s floor. Dilip does not live on floor number 2. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floor-person combinations is correct?
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?
One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft?
The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value)
(i) On average, it rains more in July than in December
(ii) Every year, the amount of rainfall in August is more than that in January
(iii) July rainfall can be estimated with better confidence than February rainfall
(iv) In August, there is at least 500 mm of rainfall
Q. 11 – Q. 35 carry one mark each.
Which one of the following factors is NOT desirable for effective phosphorus removal in BOF steelmaking process?
Which one of the following microstructures of a Ni-base superalloy imparts the highest creep resistance?
Which one of the following plots relating shear stress with strain rate represents Newtonian behaviour of a fluid?
The respective units for dislocation density and stress intensity factor are
Which one of the following is NOT an intensive property?
Identify the wave equation among the following equations.
Which one of the following metal forming processes is the earing defect associated with?
The Pilling-Bedworth ratio is defined as
A tensile specimen was deformed at a constant crosshead speed of 6 mm/min. The strain rate at the start of the testing was 5×10-3 s-1. The initial gauge length of the specimen (in mm) was _______
If all the elements of one row of a 3 × 3 matrix are multiplied by 3, the determinant of the matrix changes by a factor of _______
As mercury is cooled from room temperature to 3 K, its electrical behaviour changes from that of
Which one of the following refers to the ability of a material to absorb energy when deformed elastically?
In the trapezoidal rule for numerical integration of a function, the nature of approximation used for the function in each interval is
Which one of the following NDT techniques CANNOT be used to detect an internal crack in a steel shaft?
Two identical engineering components are made from alloys X and Y. The KIC of alloy X is greater than that of alloy Y. If these components are subjected to the same stress during operation under Mode I loading, which one of the following statements is TRUE?
Which one of the following minerals is a source of titanium?
A steel rod was subjected to a fluctuating stress cycle that varied between a maximum of 400 MPa in tension to a minimum of 300 MPa in compression. What is the stress amplitude, in MPa?______
Which one of the following can avoid weld decay of austenitic stainless steels?
Identify the INCORRECT statement with respect to grain growth.
Identify the type of the following invariant reaction:
liquid 1 + solid 1 solid 2