Mathematics
Assertion (A): Mean proportion between is 5.
Reason (R): Mean proportion between two numbers is the positive square root of their product.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Ratio Proportion
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Answer
The mean proportion between two numbers a and b is defined as
So, reason (R) is true.
When two numbers are
So, assertion (A) is false.
Thus, Assertion (A) is false, but Reason (R) is true.
Hence, option 2 is the correct option.
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Related Questions
The given table shows the distance covered and the time taken by a train moving at a uniform speed along a straight track.
Distance (in m) Time (in sec) 60 2 90 x y 5 The values of x and y are :
x = 4, y = 150
x = 3, y = 100
x = 4, y = 100
x = 3, y = 150
A mixture of paint is prepared by mixing 2 parts of red pigments with 5 parts of the base. Using the given information in the following table, find the values of a, b and c to get the required mixture of paint.
Parts of red pigment Parts of base 2 5 4 a b 12.5 6 c a = 10, b = 10, c = 10
a = 5, b = 2, c = 5
a = 10, b = 5, c = 10
a = 10, b = 5, c = 15
a, b and c are in continued proportion.
Assertion (A): a is first proportion.
Reason (R): The first proportion is always the smallest of the three numbers.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
a, b, c and d are in proportion.
Assertion (A): a + b, a - b, c + d and c - d are in proportion.
Reason (R): .
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).