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Statement I The product of coefficient of correlation, standard deviation of variable 'X' and Standard deviation of variable 'Y' gives the measure of covariance between X and Y variables.
Statement II The product of coefficient of correlation between X and Y variables and the ratio between standard deviation of X variable to standard deviation of Y variable measures the slope of the regression line of X on Y variable.
With respect to the numerical evaluation of the definite integral $${\text{K}} = \int_{\text{a}}^{\text{b}} {{{\text{x}}^2}{\text{dx,}}} $$   where a and b are given, which of the following statements is/are TRUE?
I. The value of K obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.
II. The value of K obtained using the Simpson's rule is always equal to the exact value of the definite integral.
Which of the following statements are true relating to payment of equal pay for equal work both for men and women?
1. ILO adopted equal remuneration Convention No. 100 in 1951.
2. India ratified ILO's Equal Remuneration Convention No. 100 in the year 1956.
3. Provisions relating to equal pay for equal work for both men and women are provided under Article 42 of the Indian Constitution.
4. The Equal Remuneration Ordinance was promulgated on 26th September, 1975.
Suppose two hosts use a TCP connection to transfer a large file. Which of the following statements is/are FALSE with respect to the TCP connection? If the sequence number of a segment is m, then the sequence number of the subsequent segment is always m+1. If the estimated round trip time at any given point of time is t sec, the value of the retransmission timeout is always set to greater than or equal to t sec. The size of the advertised window never changes during the course of the TCP connection. The number of unacknowledged bytes at the sender is always less than or equal to the advertised window.
Karan always reaches his office 30 minutes after the office starting time. When he increased his car speed by 20%, he arrived at the office starting time. But when he increased his car speed by 10 km/h he failed to reach the office on time and only arrived at the office 15 minute after the starting time. What could be the usual car speed?
Consider the following statements: 1. A synchronous motor has no starting torque but when started it always runs at a fixed speed. 2. A single-phase reluctance motor is not self-starting even if path for eddy currents are provided in the rotor 3. A single-phase hysteresis motor is self-starting Which of these statement(s) is/are correct?
To produce a component, any of the four processes can be adopted. Process A: Fixed cost = Rs. 20, Variable cost/piece = Rs. 4 Process B: Fixed cost = Rs. 50, Variable cost/piece = Rs. 3 Process C: Fixed cost = Rs. 60, Variable cost/piece = Rs. 2 Process D: Fixed cost = Rs. 70, Variable cost/piece = Rs. 1 Which of the following process is the most economical to produce 100 pieces in a batch?
In method of serial learning for an experiment relating to the effect of meaningfulness on the rate of learning, the rate of learning can be conceptualised as
1. dependent variable
2. independent variable
3. organimic variable
4. stimulus variable
Select the correct answer:
Read the following statements and mark your answer according to the given below.
1. For variable input APP = MPP in the first stage.
2. For variable input APP = MPP at the end of the 1st stage.
3. For variable input APP = MPP at the start of 2nd stage.
4. For variable input APP = MPP in the 2nd stage.
Consider the following statements-
1. The increasing returns to scale imply that the marginal product of a variable factor will always increase.
2. The constant returns to scale imply that the marginal product of a variable factor will always diminish
3. Managerial diseconomies constitute an important cause of decreasing returns to scale
Which of these statements is/are correct?