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JEE Main Mathematics · 13 questions

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• Let α=3+4+8+9+13+14+… upto 40 terms. If ( tan β)^((α)/1020) is a root of the equation x^2+x-2=0, β ∈(0, (π)/2), then sin^2 β+3…20268 April, Shift 2 · Q5
• The sum 1+1/2(1^2+2^2)+1/3(1^2+2^2+3^2)+…. upto 10 terms is equal to:20266 April, Shift 2 · Q6
• The value of 1^3-2^3+3^3-…+15^3 is:20266 April, Shift 1 · Q5
• The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8. If the first term of the A.P.…20266 April, Shift 1 · Q6
• If the sum of the first 10 terms of the series 1/(1+1^4 × 4)+2/(1+2^4 × 4)+3/(1+3^4 × 4)+4/(1+4^4 × 4)+… …. is m/n, gcd(m, n)=1,…20265 April, Shift 2 · Q5
• Let A_1, A_2, A_3, … ….., A_39 be 39 arithmetic means between the numbers 59 and 159. Then the mean of A_25, A_28, A_31 and A_36…20265 April, Shift 2 · Q6
• Let the sum of the first n terms of an A.P. be 3 n^2+5 n. Then the sum of squares of the first 10 terms of the A.P. is:20265 April, Shift 1 · Q2
• Σ_n=1^10(528/(n(n+1)(n+2))) is equal to:20265 April, Shift 1 · Q5
• The first term of an A.P. of 30 non-negative terms is 10/3. If the sum of this A.P. is the cube of its last term, then its common…20264 April, Shift 1 · Q7
• Let a_1, a_2, a_3, …. be an A.P. and g_1=a_1, g_2, g_3, …. be an increasing G.P. If a_1=a_2+g_2=1 and a_3+g_3=4, then a_10+g_5 is…20262 April, Shift 2 · Q4
• The sum 1^3/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+⋯ up to 8 terms, is:20262 April, Shift 2 · Q5
• Let A be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let B be the set of…20262 April, Shift 1 · Q5
• If Σ_k=1^n a_k=6 n^3, then Σ_k=1^6((a_k+1-a_k)/36)^2 is equal to ____.20262 April, Shift 1 · Q22