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Six students of a school – Radha, Raj, Rahul, Mira, Aarav and Arijit are selected from different classes – 7th, 8th, 9th, 10th, 11th and 12th standards (not necessarily in the same order) to perform individually in the school annual function. Their order of performances is decided as per their classes. The one who is in 12th class will perform first, then after that 11th class student will perform and so on. Mira will perform immediate after the Rahul but before Arijit. Mira does not study in 8th class. Raj will perform immediate after Aarav but Raj neither studies in 8th class nor in 7th class. Who will perform last in the school annual function?
Six performers Akash, Bishal, Nisha, Diksha, Esha and Firoz will perform on one day each of six days of the week starting from Monday and ending on Saturday. Nisha will perform on a Tuesday. Akash, Firoz and Bishal will perform one after the other in the same order. Diksha will not perform on a Monday or a Wednesday. How many performers perform after Akash?
Imagine, you are solving a classification problems with highly imbalanced class. The majority class is observed 99% of times in the training data. Your model has 99% accuracy after taking the predictions on test data. Which of the following is true in such a case?
1. Accuracy metric is not a good idea for imbalanced class problems.
2.Accuracy metric is a good idea for imbalanced class problems.
3.Precision and recall metrics are good for imbalanced class problems.
4.Precision and recall metrics aren't good for imbalanced class problems.
The MC curve reaches its minimum point before the AVC curve and the AC curve. In addition the MC curve intersects the AVC curve and the AC curve at their lowest point. The above statements are both true
Match the following:   Curve   Nature of damping I Curve (a) A Un - Damped II Curve (b) B Over Damped III Curve (c) C Under Damped IV Curve (d) D Critically Damped
From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.
The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form acoherent paragraph.
P- The magnitude of the interdependence depends on the technique of production causing the shifts in the food supply curve.
Q- Interdependence of food and labour market is important for the development process.
R- Similarly, an upward shift in the food supply curve shifts up the food demand curve.
S- An upward shift in the food supply curve would simultaneously result in an upward shift in the labour demand curve.
Two statements and a few problems are given. Which of the following problems can be solved through these statements? Statement I: The radius of a circle is equal to one-fourth of side of a square. Statement II: The area of the square is 256 sq. cm. Problem 1: What is the circumference of the given circle? Problem 2: What is the ratio of area of circle to the area of the square? Problem 3: If the ratio of the area of a square to a rectangle is 1 : 1, then what is the length of the rectangle.
Indicate the correct answer from the following types of the long run average cost curves on which the minimum average cost of production in long run can be determined.
1. Long run average cost curve under normal production function
2. Long run average cost curve under linearly homogeneous production function
3. Planning curve
4. Envelope curve
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m.