Question

Four arithmetic means are inserted between 9 and 44. Which of the following is/are one of those arithmetic means?

• A. 16
• B. 23
• C. 30
• D. 37

Answer 1

Answer: (A), (B), (C), (D)

37

Let the four AM's between 9 and 44 are $A_1,A_2,A_3\mathrm{and}{A}_4\therefore 9,A_1,A_2,A_3,A_4,44\mathrm{is}\mathrm{an}\mathrm{AP}\mathrm{If}m\mathrm{AM}\text{'}s\mathrm{are}\mathrm{inserted}\mathrm{between}a\mathrm{and}b,\mathrm{then}\mathrm{Common}\mathrm{Difference}d=\frac{b-a}{m+1}d=\frac{44-9}{5}=7\mathrm{AM}\text{'}s\mathrm{are}16,23,30,37$