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
Q. What is the number of signals that can be sent by 6 flags of different colours taking one or more at a time?
1) 21
2) 63
3) 720
4) 1956
Q. What is the area bounded by the curve y = x2 and the line y = 16?
1) 32/3
2) 64/3
3) 256/3
4) 128/3
Q. From the top of a lighthouse 120 m above the sea, the angle of depression of a boat is 15°. What is the distance of the boat from the lighthouse?
1) 400 m
2) 421 m
3) 444 m
4) 460 m
Q. What is the maximum number of straight lines that can be drawn with any four points in a plane such that each line contains at least two of these points?
1) 2
2) 4
3) 6
4) 12
Q. If ω is a complex cube root of unity, then what is ω10 + ω-10equal to ?
1) 2
2) -1
3) -2
4) 1
Q. If the equations x2 + kx + 64 = 0 and x2 - 8x + k = 0 have real roots, then what is the value of k?
1) 4
2) 8
3) 12
4) 16
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