The sum `1+3+7+15+31+...to100` terms is `2^(100)-102 b` b. `2^(99)-101` c. `2^(101)-102` d. none of these

The largest term common to the sequences 1,11,21,31,... to 100 terms and 31,36,41,46,... to 100 terms is 381 b.471 c.281 d.none of these

The HCF of 100 and 101 is 10100 (b) 1001 (c) 10101 (d) None of these

2-2+2-2+.101backslash terms=?-2(b)0 (c) 2 (d) None of these

The number of terms common between the series 1+2+4+8+...... to 100 terms and 1+4+7+10+....... to 100 terms is a.6b.4 c.5 d.none of these

(11.6-:0.8)(13.5-:2)=?( a) 98(b)99(c)100(d) None of these

The number of terms in the expansion (x^2+ 1/x^2+2)^100 is (A) 3200 (B) ^102C_2 (C) 201 (D) none of these

If t_r=2^(r/3)+2^(-r/3), then sum_(r=1)^100 t_r^3 -3 sum_(r=1)^100t_r+1= (A) (2^101+1)/2^100 (B) (2^101-1)/2^100 (C) (2^201+1)/2^100 (D) none of these

The number of terms in te expansion of (1+5x+10x^2+10x^3+x^5)^20 is (A) 100 (B) 101 (C) 120 (D) none of these

(2^(100))/(101) find Remainder.