The sum of three consecutive even numbers is 28 more than the average of these three numbers. Then the smallest of these three numbers is
The sum of three positive numbers is 18 and their product is 162, If the sum of two numbers is equal to the third then the sum of squares of the number is
Find the cube root of (-13824)
OR
Find the value of 3√-13824
The smallest fraction, which should be added to the sum of
2 1/2, 3 1/3, 4 1/4 and 5 1/5 to make the result a whole number, is
The greater of the two numbers whose product is 900 and sum exceeds their difference by 30 is
Which of the following is correct
If the sum of the digits of a three digit number is subtracted from that number, then it will always be divisible by
Three bells ring at interval of 36 seconds, 40 seconds and 48 seconds respectively. They start ringing together at a particular time. They will ring together after every
Let 0 < x < 1. Then the correct inequality is
If x is a continuous random variable with p.d.f.
ƒ(x) = 1/√2∏ exp (-x2/2), -∞ < x < ∞
and y is defined as y = x+1, then E(y) equals:
If a variable has three values k, 0 and 3k with corresponding frequencies as 3k, 2k and k respectively, then the value of coefficient of skewness b1 is :
The joint distribution of x and y is as follows
Then E(x|y=1) is :
The mean and standard deviation of a variable x are 36 and 4 respectively. Then the mean and standard deviation of [50 (x/4)], respectively are :
Let x ~ Binomial (5,0.6) and Y ~ Poisson (2) be independent. Then P(xy = 0) equals :
In a negatively skewed distribution
If a continuous random variable x has the probability density function
For a frequency distribution of a discrete variable, the diagram of less than type cumulative frequency is a
It is known from past experience that in a certain plant there are on the average 4 industrial accidents per month. The probability that in a given month there will be less than 4 accidents is : (e4= 0.0183)
For a frequency distribution of a variable x, mean = 32, median = 30. The distribution is :
Let x be a random variable with probability mass function
ƒ(x) = k, |x|, if x = -2, 1, 3
=0, otherwise
where, K is a constant. Then the variance of x is :
If L(p) and L(q) represent Laspeyres' index number for prices and quantities and P(p) and P(q) represents Paasche's index number for price and quantities then :
Initially there are 9 workers, all being paid a uniform wage. Later a 10th worker is added whose wage rate is Rs 20 less than for the others. The average wage gets :
Event S and T are independent with P(S) < P(T), P(S ∩ T) = 6/25 and P(S|T) + P(T|S) = 1. Then P(S) is
The formula for calculating an index number should be such that it gives the same ratio between one point of comparison and the other, no matter which of the two is taken as the base or putting it another way, the index number reckoned forward should be reciprocal of the one reckoned backwards' which test of consistency of index number is this ?
The system of combining two or more overlapping series of index numbers to obtain a single continuous series is called
If 'I' represents a cost of living index, then the purchasing power of money is proportional to
The standard deviation of a distribution is 5. The value of the fourth central moment, in order that the distribution be mesokurtic, should be :
Suppose owing to increased prices, a consumer reduces consumption of all commodities by 10% compared to the previous year. If IL and IP are the Laspeyres' and Paasche's price indices for the current year with the previous year as base, then
The probability that an urn containing 5 balls contains only white balls if the first two balls drawn from it were found to be white is :
If the trend equation fitted from a data on production (y in kg) of a fertilizer factory is 26y = 5335 + 624t, where time(t) has unit 1 year. Then monthly increase in production of fertilisers (in kg) is: