Question:
If arithmetic means are inserted between 1 and 31 so that the ratio of the 7th and (m-1)th means is 5:9, then find the value of m.
If arithmetic means are inserted between 1 and 31 so that the ratio of the 7th and (m-1)th means is 5:9, then find the value of m.
Show Hint
Use general term of A.P. for mean problems.
Updated On: Mar 18, 2026
- 14
- 24
- 10
- 20
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Let common difference be d.
Step 2: A₇ = 1+7d, Am-₁=1+(m-1)d
Step 3: (1+7d)/(1+(m-1)d)=(5)/(9)
Step 4: Solving gives m=20.
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
- Find the determinant of the matrix \( A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} \).
- What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
- BITSAT - 2025
- Mathematics
- Vector Algebra
- In triangle $ ABC $, the length of sides are $ AB = 7 $, $ BC = 10 $, and $ AC = 5 $. What is the length of the median drawn from vertex $ B $?
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- Evaluate the integral \( \int \frac{x}{x^2 + 1} dx \):
- BITSAT - 2025
- Mathematics
- Methods of Integration
- Evaluate the integral \( \int_0^1 \frac{\ln(1 + x)}{1 + x^2} \, dx \)
View More Questions
Top BITSAT sequences Questions
- The coefficient of \(x^3\) in the expansion of
\[ \left(x - \frac{1}{x}\right)^7 \]
is: - The value of \[ \frac34+\frac{15}{16}+\frac{63}{64}+\cdots \text{ up to } n \text{ terms is} \]
- With $17$ consonants and $5$ vowels the number of words of four letters that can be formed having two different vowels in the middle and one consonant, repeated or different at each end is
Top BITSAT Questions
- Find the determinant of the matrix \( A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} \).
- BITSAT - 2025
- Matrices
- What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
- BITSAT - 2025
- Vector Algebra
- Rearrange the following parts to form a meaningful sentence:
P. technological advancement
Q. has led to
R. in many fields
S. a significant leap- BITSAT - 2025
- Sentence Arrangement
- A dust particle of mass 4 × 10⁻¹² mg is suspended in air under the influence of an electric field of 50 N/C directed vertically upwards. How many electrons were removed from the neutral dust particle? (g = 10 m/s²)
- BITSAT - 2025
- Electrostatics
- In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?
- BITSAT - 2025
- kinetic theory
View More Questions