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The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?
If α and β be the roots of the equation 2x^{2}4x3=0 the value of α^{2}+β^{2} is
If one root of the equation x^{2}+ 7x+ p = 0 be reciprocal of the other then the value of p is________.
Mr. A plans to invest up to Rs. 30,000 in two stocks X and Y. Stock X(x) is priced at Rs.175 and Stock Y(y) at Rs.95 per share. This can be shown by
A sum of money doubles itself at compounded interest in 10 years in how many years will it becomes eight times?
A machine costs Rs .1,00, 000. The depreciation rate is 10% per annum . The scrap value of the machine at the end of 5 years is
Rs. 10,000 is invested at annual rate of interest of 10% p.a. The amount after two years at annual compounding is
The annual birth rate and death rate per 1000 are 39.4 and 19.4 respectively. The number of years in which population will be doubled assuming that there is no immigration or emigration is approximately
If the effective rate of interest is 12% per annum and the interest is compounded quarterly, the nominal rate of interest per annum
A machine can be purchased for Rs. 50, 000. Machine will be contributing Rs. 12, 000 per year for the next five years. Assuming borrowing cost is 10% per annum. Determine whether machine should be purchased or not
X bought a TV costing 25,000 making down payment of Rs. 5000 and agreeing to make equal annual payment for four years. How much would be each payment if the interest on unpaid amount be 14% compounded annually? [P(4, 0.14) = 2.91371]
The future value of annuity on Rs. 5000 a year for 7 years at 14% per annum compound interest is given (1.14)^{7}= 2.5023
Rs.5000 paid for ten years to off a loan. What is the loan amount if interest rate be 14% per annum com pounded annually? (Given P (10, 0.14) = 5.21611
Suppose your friend decided gift to you R s. 10000 every year starting from today for the next five years. Your deposit this amount in a bank as and when you receive and get 10% per annum interest compounded annually. What is the present value of this annuity?
Rs.1000 is invested at the end of each month in an account paying interest 6% per year compounded monthly. What is the future value of annuity after 10 th payment? (Given that (1.005) 10 = 1.0511)
The differenc e between CI and SI on a certain money invested for three years at 6% per annum is Rs. 110.16. The sum is
Simple interest on Rs.3500 for 3 years at 12% per annum is
If A = {1, 2, 3, 4} and B = {5, 6, 7,6}, then c ardinal num ber of the set A×B is _____
Find the f o g for the func tions f (x) =x^{3,} g (x) = x+ 1
A m an has 5 friends’. In how m any ways can be invite one or more of his friends to dinner?
The sum of the first two term s of a GP is 5/3 and the sum of infinity of the series is 3. The common ratio is
Find the missing number of the series 22, 24, 28, ? , 52, 84
In a certain code KAVERI is written as VAKIRE. How is MYSORE written in that code?
The letter in the first 6 half and the second half of the word is written in the reverse order to obtain the code. Thus, we have MYSORE = MYS/ORE = SYM/ERO = SYMERO.
A man is facing East, then he turns left and goes 10m then turns right and goes 5 m then goes 5 m to the South and from there 5 m to West. In which direction is be from his original place?
From her hom e Prerna wishes to go to sc hool. From hom e she goes towards North and then turns left and then turns right, and finally she turns left and reaches school. In which direction her school is situated with respect to her home?
A child walks 25 feet towards North, turns right and walks 40 feet, turns right again and walks 45 feet . He then turns left and walks 20 feet. He turns left again walks 20 feet. Finally, he turns to his left to walks another 20 feet. In which direction is the child from his starting point?
In a college party, 5 girls are sitting in a row. F is to the left of M and to the right of O. R is sitting to the right of N but to the left of O. Who is sitting in the middle?
Five friends P, Q, R, S and T are sitting in a row fac ing North. Here, S is between T and Q and Q is to the immediate left of R. P is to the immediate left of T. Who is in the middle?
Study the following information carefully to answer the given questions. Eight person’s P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to the immediate left of M is facing W. R is between T and M and W is to the immediate right of V.
Q. Who is sitting in front of R?
Study the following information carefully to answer the given questions. Eight person’s P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to the immediate left of M is facing W. R is between T and M and W is to the immediate right of V.
Q. Who is to the immediate right of R?
Study the following information carefully to answer the given questions. Eight person’s P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to the immediate left of M is facing W. R is between T and M and W is to the immediate right of V.
Q. In which of the following pairs, persons are sitting in front of each other?
Study the following information carefully to answer the given questions. Eight person’s P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to the immediate left of M is facing W. R is between T and M and W is to the immediate right of V.
Q. X is the husband of Y. W is the daughter of X. Z is husband of W. N is the daughter of Z. What is the relationship of N to Y?
A’ reads a book and find the nam e of the author fam iliar. T he author ‘B’ is the paternal un c le of ‘C’. ‘C’ is the daughter of ‘A’. How is ‘B’ related to ‘A’?
‘A’ s m other is sister of B and she has a daughter C who is 21 years old. How is B related to D?
Each of the following questions contains two statem ents followed by two conclusions num bered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide whic h of the given conclusions definitely follows from the given statements
Q. Statements: I. All pots are cups.
II. All cups are bowls.
Conclusions: I. All pots are bowls. II. All cups are pots.
Each of the following questions contains two statem ents followed by two conclusions num bered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide whic h of the given conclusions definitely follows from the given statements
Q. Statements: I. All roads are poles
II. No poles are bungalows
Conclusions: I. Some roads are bungalows
II. Some bungalows are poles
Each of the following questions contains two statem ents followed by two conclusions num bered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide whic h of the given conclusions definitely follows from the given statements
Q. Statements: I. Som e c ats are kittens.
II. All goats are kittens.
Conclusions: I. Some cats are goats
II. Some goats are cats.
The best method to collect data, in case of a natural calamity, is
For a moderately skewed distribution, which of the following relationship holds?
If there are 3 observations 15, 20, 25 then the sum of deviation of the observations from their AM is
The third decile for the numbers 15, 10, 20, 25, 18, 11, 9, 12 is
Which measures of dispersions is not affected by the presence of extreme observations?
Which measure is based on only the central fifty percent of the observations?
If the profits of a com pany rem ain the sam e for the last ten m onths, then the standard deviation of profits for these ten months would be?
If the range of x is 2, what would be the range of –3x +50 ?
If x and y are related by 2x+3y+4 = 0 and SD of x is 6, then SD of y is
If x and y are related by y = 2x+ 5 and the SD and AM of x are known to be 5 and 10 respectively, then the coefficient of variation is
If for two events A and B, P(A ∩ B) = P(A) x P(B), then the two events A and B are
Correct Answer : B
Explanation : Events A and B are independent if:
knowing whether A occured does not change the probability of B.
Mathematically, can say in two equivalent ways:
P(BA) = P(B)
P(A and B) = P(B ∩ A) = P(B) × P(A).
Important to distinguish independence from mutually exclusive which
would say B ∩ A is empty
Addition Theorem of Probability states that for any two events A and B,
If a random variable x assum es the values x_{1}, x_{2}, x_{3}, x_{4} with c orresponding probabilities p_{1}, p_{2} , p_{3}, p_{4} then the expec ted value of x is
If an unbiased die is rolled once, the odds in favour of getting a point which is a multiple of 3 is
A, B, C are three mutually independent with probabilities 0.3, 0.2 and 0.4 respec tively. What is P (ABC)?
What is the chance of throwing at least 7 in a single cast with 2 dice?
The maximum value of the variance of a binomial distribution with parameters n and p is
The mean deviation about median of a standard normal variate is
If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is
Points of inflexion of a normal curve = Mean ± Standard Deviation
Therefore, The mean is 50 and the standard deviation is 10.
What is the first quartile of X having the following probability density function?
If the coefficient of correlation between two variables is 0.7 then the percentage of variation unaccounted for is
If the regression coefficient of y on x is 2.5, the correlation coefficient 0.6 and the SD is y of is 4, the SD of x is
If the regression coefficient of y on x is 1.5 and the variances of x and y is 4/9 then the correlation coefficient is
If the coefficient of determination is 0.64 and the regression coefficient of x on y is 4 then then the regression coefficient of y on x is
The formula should be independent of the unit in which or for which price and quantities are quoted in
Damages due to floods, droughts, strikes fires and political disturbances are:
The rise and fall of a time series over periods longer than one year is called:
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