Q. The distributions X and Y with the total number of observations 36 and 64, and mean 4 and 3 respectively are combined. What is the mean of the resulting distribution X + Y?
1) 3.26
2) 3.32
3) 3.36
4) 3.42
Q. A lot of 4 white and 4 red balls are randomly divided into two halves. What is the probability that there will be 2 red and 2 white balls in each half?
1) 18/35
2) 3/35
3) 1/2
4) None of the above
Q. A point P moves such that the difference of its distances from two given points (c, 0) and (- c, 0) is constant. What is the locus of point P?
1) Circle
2) Ellipse
3) Hyperbola
4) Parabola
Q. A square is drawn by joining midpoints of the sides of a square. Another square is drawn inside the second square in the same way and the process is continued indefinitely. If the side of the first square is 16 cm, then what is the sum of the areas of all the squares?
1) 256 sq .cm
2) 512 sq .cm
3) 1024 sq .cm
4) 512 / 3 sq .cm
Q. What is the sum of all the coefficients in the expansion of (1 + x)n?
1) 2n
2) 2n -1
3) 2n-1
4) 2(n-1)
Q. If α and β are the roots of the equation x2 - 2x + 4 = 0, then what is the value of α3 + α3?
1) 16
2) -16
3) 8
4) -8
Q. The two lines of regression are 8x - 10y = 66 and 40x - 18y = 214, and the variance of the x series is 9. What is the standard deviation of the y series?
1) 3
2) 4
3) 6
4) 8
Q. What is the mean deviation of the data 2, 9, 9, 3, 6, 9, 4, ?
1) 2.23
2) 2.57
3) 3.23
4) 3.57
Q. Three digital numbers are formed using the digits 0, 2, 4, 6, 8. A number is chosen at random out of these numbers. What is the probability that the number has the same digits?
1) 1/16
2) 1/25
3) 16/25
4) 1/645
Q. In how many ways can a committee consisting of 3 men and 2 women be formed from 7 men and 5 women?
1) 45
2) 350
3) 700
4) 4200
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