Which among the following defines the event of “Supernova”?
- (a) Expanding Black Hole
- (b) Exploding Star
- (c) Shinning Comet
- (d) Moving Asteroid
- (b) Exploding Star
A supernova is an extremely bright explosion that signals the death of a star. The explosion occurs when a star exhausts its fuel and its core collapses under the weight of its own collapse or when a white dwarf has a thermonuclear explosion. The explosion is so brilliant that it can momentarily shine as brightly as an entire galaxy and is an important contributor of heavy elements to the universe.
Michael Jackson was an American singer, songwriter and dancer. He died in:
- (a) June 2009
- (b) June 2010
- (c) June 2011
- (d) June 2012
- (a) June 2009
Michael Jackson, the famous pop star, passed away on June 25, 2009, at the age of 50. He died of an acute overdose of propofol and benzodiazepines, which resulted in a cardiac arrest, at his home in Los Angeles, California.
In mathematics, a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the problem is called:
- (a) Homogeneous
- (b) Heterogeneous
- (c) Extraneous
- (d) Identical
- (c) Extraneous
In math, an extraneous solution is a root that “comes out” during the process of solving an equation, usually because of a process like squaring both sides or multiplying by a variable. It appears to be a correct solution, but when you put it into the original equation, it does not work. So, an extraneous solution is a result of a process, but it is not a correct solution to the original problem.
– (a) Homogeneous: An equation that is homogeneous has all terms of the same degree, or a constant term equal to zero. This term has nothing to do with a correct or incorrect solution.
– (b) Heterogeneous: Usually, this term is related to a combination of different substances, not to a type of solution.
– (d) Identical: An identity is true for all values of all variables. This is the exact opposite of an incorrect, or “extra,” solution.
The number of elements in power set {1,2,3) is:
- (a) 5
- (b) 6
- (c) 7
- (d) 8
- (d) 8
The given set is {1, 2, 3}
The number of elements in a set n is given by 2ⁿ in the power set.Here, n = 3
Therefore, the number of elements in the power set is given by:
2³ = 8
Hence, the answer is: 8
2³ = 8
How many subsets does an empty set have?
- (a) 0
- (b) 1
- (c) 2
- (d) 3
- (b) 1
When a triangle has two congruent sides, it is called________ triangle.
- (a) Isosceles
- (b) Equilateral
- (c) Scalene
- (d) Iso-scale
- (a) Isosceles
Isosceles triangle is a term for a triangle where at least two of its sides are equal in length. These two equal-length sides are typically called legs, and their opposing angles are equal as well.
– (b) Equilateral: all three sides are equal, not just two.
– (c) Scalene: no equal lengths, all lengths are different.
– (d) Iso-scale: this term is not a standard geometric term for triangles.
The ______ is equal to the sum of all the values in the data divided by the number of all the values in the data divided by the number of values in the data.
- (a) Mean
- (b) Mode
- (c) Median
- (d) Geometric Mean
- (a) Mean
The MEAN is a measure of the average, which means you add all the numbers in a data set and divide by how many there are. The mean is also called an arithmetic average, a way of measuring central tendency by dividing the total of all data points by the number of data points.
Mean: Sum of values ÷ Number of values
Median: The middle value of a data set when arranged in order
Mode: The most frequently occurring value
Geometric Mean: The nth root of a product of n values
A _____ is a representation of a frequency distribution by means of rectangles whose width represents class intervals and whose areas are proportional to the corresponding frequencies.
- (a) Pictograph
- (b) Histogram
- (c) Pie Chart
- (d) Bar Chart
(b) Histogram
A histogram is a way of showing how often events happen by using rectangles. The width of a rectangle represents a class, and the height of a rectangle represents a frequency. It’s a graph of continuous data, as the width of a rectangle is along the X-axis, and the height of a rectangle is along the Y-axis.
- Histogram: A histogram is a graph that uses adjacent, continuous bars, and the areas of the bars represent the frequency of data.Bar
- Chart: A bar chart is a graph of separate bars, where each bar represents a category, and the height of a bar, not the area, represents data.
- Pictograph: A pictograph is a graph of pictures or icons, which represent data.
- Pie Chart: A pie chart is a graph of a circle divided into slices, representing data.
Which instrument is suitable to measure the internal diameter of a test tube?
- (a) Vernier Calipers
- (b) Screw Gauge
- (c) Feeler Gauge
- (d) Bore Gauge
- (a) Vernier Calipers
Vernier calipers are the suitable devices to use when measuring the inner diameter of a test tube because they are specifically designed with a pair of jaws, the upper pair, that are meant to fit inside a cylindrical space. They are also precise to an accuracy of 0.1 mm or 0.01 cm.
(b) Screw Gauge: Also known as a micrometer, this device is designed to measure the external diameter or thickness of very thin objects, such as wires or thin sheets, to a very high degree of accuracy.
(c) Feeler Gauge: This device is a set of very thin steel blades of varying thickness used to measure the clearance or space between two flat surfaces (for example, the clearance of a valve in an engine) and is not used to measure the diameter of a circle.
(d) Bore Gauge: This device is used to measure the diameter of a hole, and although it is a very accurate device, it is a specialized piece of equipment designed to measure the diameter of very large engine cylinders where a very high degree of accuracy in roundness is required.
Crude oil is heated in the furnace up to:
- (a) 300°C
- (b) 350°C
- (c) 400°C
- (d) 450°C
- (c) 400°C
(c) 400°C