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What is the relation between linear expansion coefficient (α), Areal expansion coefficient (β) and volume expansion coefficient (ϒ)
An object X sinks in liquids P and Q but floats in liquid R. Which of the following conclusions can be made from these observations? A) Density of X is more than the density of P B) Density of X is less than the density of R C) Density of P is equal to the density of R D) Density of P is less than the density of R
What is the value of coefficient of area expansion for a sphere? Assume coefficient of linear expansion is α.
In the question below, a statement and three assumptions numbered I, II and III are given. An assumption is something supposed or taken for granted. You have to consider the following assumption and decide which of the assumption is implicit in the statement. Statement: Online grocery firm Grofers today said it is entering the FMCG segment and is targeting an overall revenue of Rs 2,500 crore by FY19. Grofers closed FY 18 with Rs 950 crore of sales and is targeting for a stronger growth trajectory in 2019, with a 50 per cent contribution from its private brands. The company has launched seven new brands under two categories Budget and Popular G-Brands.  Assumptions: I. With this, Grofers private labels expands to 250 food and non-food products for its consumers. With this significant business expansion, Grofers aims to drive the next wave of growth for e-commerce sector by bringing the next 100 million customers to its platform. II. This vertical expansion is key to drive Grofers next phase of growth in India. In the last five years, we have received an overwhelming response from our customers. III. Through many industry-first initiatives, Grofers has been instrumental in bringing new customers to the e-commerce fold with increase of its customer base. 
Which of the following statements are true?
1. The coefficient of rank correlation has the same limits as the Karl Pearson's coefficient of correlation.
2. The coefficient of correlation is independent of the change of origin but not of scale.
3. The covariance between $$X$$ and $$Y$$ is defined as $$\frac{{\sum {xy} }}{n}$$ where, $$x = \left( {X - \overline X } \right),y = \left( {Y - \overline Y } \right)$$      and $$n = $$ no. of paired observations.
4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable.
5. If $${b_{xy}}$$ is 0.4 and $${b_{yx}}$$ is 1.6, coefficient of determination would be 0.8.
Select the correct answer:
The Coordinator of an International Virtual Conference has planned six guest lectures on different areas-Cryptography, Fluid Dynamics, Big Data Analysis, Wavelet Theory, Differential Equations and Linear Algebra-to be organised only one on each day from Monday to Sunday.  Wavelet Theory should be organised immediately after Differential Equations.  Big Data Analysis should be organised on Wednesday and should not be followed by Linear Algebra.  Fluid Dynamics should be organised on Friday and there should be a gap of two days between Cryptography and Linear Algebra.  One day there will be no lecture (Saturday is not that day), and just before that day Linear Algebra will be organised. How many lectures are organised between Big Data Analysis and Wavelet Theory? 
Which of the following statements are true? a. The correlation coefficient is dependent on the choice of both origin and scale observations. b. The correlation coefficient is dependent on the units of measurements. c. The coefficient of correlation is the square root of the coefficient of determination. d. The zero value of the correlation coefficient cannot estimate the value of the dependent variable.
Working principle of bimetallic thermometers is difference in linear co-efficient of thermal expansion of two strips of different metals welded together. Which of the following has the maximum thermal co-efficient of linear expansion?
What is the specific gravity of a substance with density 100 kg/m3 with respect to reference substance of density 100 lb/m3?
Air at a density of 1.2 kg/m3 flows in a straight duct such that the velocity at the centre is 12.5 m/s. the method factor for the velocity profile is known to be 0.80. The air flow encounters a symmetric expansion such that the cross- sectional are of the duct becomes double. The static pressure value at the inlet and outlet of the expansion are 60 Pa and 90 Pa respectively. Neglecting friction the shock pressure loss on account of expansion in Pa is