arrow
arrow
arrow
The value of 1+2+3+...+30+31+30+29+...+3+2+1 =?
Question

The value of 1+2+3+...+30+31+30+29+...+3+2+1 =?

A.

961

B.

1000

C.

999

D.

900

Correct option is A

Given:
1+2+3+...+30+31+30+29+...+3+2+1=​1+2+3+...+30+31+30+29+...+3+2+1 =​​
Formula Used:
Sum of first n natural numbers = n × (n + 1)/2

Solution:
(1 + 2 + 3 + ........... + 29 + 30+ 31) + (30 + 29 + 28 + .......... + 3 + 2 + 1)
=> [31×(31+1)2]+[30×(30+1)2]\left[\frac{31 \times (31 + 1)}{2}\right] + \left[\frac{30 \times (30 + 1)}{2}\right]​​

=> (16 × 31) + (31 × 15)
=> 31 (16 + 15)

=> 961

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 General Awareness Section Test 1

languageIcon English
  • pdpQsnIcon40 Questions
  • pdpsheetsIcon30 Marks
  • timerIcon25 Mins
languageIcon English
test-prime-package

Access ‘RRB NTPC’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow