JEE Main Sample Paper Maths by NTA

Sample Questions for Section on Numerical Value-Mathematics Q.1: Let α and β be two roots of the equation x2+2x+2=0, then α 15+β15 is equal to_____________. Answer : 256 Q.2: Consider a group of 5 females and 7 males. The number of different teams consisting of 2 females and 3 males, that can be formed from this group, if there are two specific males A and B, who refuse to be the member of the same team, is ________________. Answer : 300 30 15 Q.3: Let a1, a2, a3,…be an A.P., S = ∑ai and T=∑a2i-1. If a7=37, and S-2T=75, then a15 is equal to____. i=1 i=1 Answer: 77 Q.4: If y = y (x) is the solution of the differential equation x +2y = x2 satisfying y (1) = 1, then 16 y (1/2) is equal to _______. Answer : 49 → Λ Λ → Λ Λ Λ → → → → → →→ → Q.5: If a = i - j , b = i+j+k and c be a vector such that a x c + b = o and a.c= 4, then IcI2 is equal to____. Answer : 9.5