Given:
The ratio of three numbers is 2 : 3 : 4.
The sum of their squares is 2349.
Solution:
Let the three numbers be 2x, 3x, 4x
Now,
x =
The three numbers are:
2x = 2 × 9 = 18
3x = 3 × 9 = 27
4x = 4 × 9 = 36
English
10 Questions
20 Marks
12 Mins English English50 Questions100 Marks60 Mins English English10 Questions20 Marks12 Mins EnglishFor different sets of datasets X and Y. correlation coefficient between X and Y, that is R and standard deviation of X and Y, that is, S(X) and S(Y) are given in A-D below. Estimate the covariance between X and Y for each dataset and arrange in ascending order.
A. R= 0.5, S(X)= 8, S(Y)= 10
B. R= 4/7, S(X)= 7, S(Y)= 9
C. R= 0.7, S(X)= 12, S(Y)= 5
D. R= 19/42, S(X)= 14, S(Y)= 6
Choose the correct answer from the options given below:
Arrange the following fractions in increasing order:
A.
B.
C.
D.
Choose the most appropriate answer from the options given below:
If is the mean of , then for , the mean of , , , ,....) is:
Two successive discounts of 10% and 15% are equivalent to a single discount of:
A man gets an annual pay of Rs 9.0 lakh. His expenditure and savings are in the ratio 5:1. What is his average savings per month?
Suppose a man swims 12 km upstream and 20 km downstream in a river in 4 hours. If he swims 18 km upstream and 10 km downstream also in 4 hours, then the speed at which he swims in the still water is.
The liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?
Six numbers a, b, c, d, e, f are such that ab = 1, bc = 1/2, cd = 6, de = 2, and ef = 1/2. What is the value of (ad : be : cf)?
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