Q.

Five numbers are in A.P. whose sum is 25 and product is 2520, if one of these five numbers is −12 , then the greatest number amongst them is

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

212

b

16

c

27

d

7

answer is B.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

Let terms be    a−2d,a−d,a,a+d,a+2d Sum = 25⇒5a=25⇒a=5  Also product = 2520     ⇒5−2d5−d55+d5+d=2520⇒25−4d225−d2=504⇒625−100d2−25d2+4d4=504⇒4d4−125d2+625−504=0⇒4d4−125d2+121=0⇒d2−14d2−121=0⇒d=±1,d=±112d=±1 is not possible since one of the terms is -12⇒d=112 ∴Largest term = 5+ 2d = 5 + 11 = 16
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon