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← JEE Main 2026 · 5 Apr · Shift 2
MathematicsSingle correct+4 / -1Question 6 of 75

JEE Main 2026 · 5 Apr · Shift 2, Mathematics question 6

Let A1,A2,A3,…,A39A_1,A_2,A_3,\dots,A_{39} be 39 arithmetic means between the numbers 59 and 159. Then the mean of A25,A28,A31A_{25},A_{28},A_{31} and A36A_{36} is equal to :

Choose one option
Answer and worked solution

Official answer: D

Common difference. 39 means give 40 equal steps: d=159−5940=2.5d=\dfrac{159-59}{40}=2.5, and Ak=59+2.5kA_k=59+2.5k.

Mean. The mean of k=25,28,31,36k=25,28,31,36 is 30, so the mean is A30=59+75=134A_{30}=59+75=134.

(D)