JEE Main 2026 · 6 Apr · Shift 1 · Mathematics Q5 · Dronacharya Exams

My attemptsTake a paper

← JEE Main 2026 · 6 Apr · Shift 1

MathematicsSingle correct+4 / -1Question 5 of 75

The value of $1^3-2^3+3^3-\dots+15^3$ is:

A

1706

B

1856

C

1982

D

2403

Answer and worked solution

Official answer: B

Split by parity.

All cubes: $\sum_1^{15}n^3=120^2=14400$ .
Even cubes: $8\sum_1^7m^3=8(784)=6272$ .
Odd cubes: $14400-6272=8128$ .

Value: $8128-6272=1856$ .

(B)

Topics:Special series sums

← Previous question Next question →