IOQM Engineering Entrance Progressions Part2
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- ะะฟัะฑะปะธะบะพะฒะฐะฝะพ: 18 ัะตะฝ 2024
- [๐ต๐ผ๐๐๐ด๐] ๐ผ๐ ๐ ๐ ๐๐๐ข๐๐๐๐ ๐๐ 21 ๐ก๐๐๐๐ , ๐กโ๐ ๐๐๐๐ ๐ก 11 ๐ก๐๐๐๐ ๐๐๐ ๐๐ ๐ด๐ ๐ค๐๐กโ ๐๐๐๐๐๐ ๐๐๐๐๐๐๐๐๐๐ 2 ๐๐๐ ๐กโ๐ ๐๐๐ ๐ก 11 ๐ก๐๐๐๐ ๐๐๐ ๐๐ ๐บ๐ ๐ค๐๐กโ ๐๐๐๐๐๐ ๐๐๐ก๐๐ 2. ๐ผ๐ ๐กโ๐ ๐๐๐๐๐๐ ๐ก๐๐๐ ๐๐ ๐ด๐ ๐๐ ๐๐๐ข๐๐ ๐ก๐ ๐กโ๐ ๐๐๐๐๐๐ ๐ก๐๐๐ ๐๐ ๐กโ๐ ๐บ๐, ๐กโ๐๐ ๐กโ๐ ๐๐๐๐๐๐ ๐ก๐๐๐ ๐๐ ๐กโ๐ ๐๐๐ก๐๐๐ ๐ ๐๐๐ข๐๐๐๐ ๐๐
[๐ต๐ผ๐๐๐ด๐] ๐ผ๐ ๐ + 2๐ + 3๐ = 12, (๐, ๐, ๐ โ๐ +), ๐กโ๐๐ ๐กโ๐ ๐๐๐ฅ๐๐๐ข๐ ๐ฃ๐๐๐ข๐ ๐๐ ๐๐2๐3 ๐๐
"[BITSAT] Sum of n terms of the infinite series 1x32 + 2x52 + 3x72 + ..... โ is"
๐โ๐ ๐ฃ๐๐๐ข๐ ๐๐ ๐กโ๐ ๐ ๐ข๐ โ_(๐=1)^โโโ_(๐=1)^โโ๐/2^(๐+๐) ๐๐
"After striking the floor certain ball rebounds 4/5th of its height from which it has fallen. Calclulate the total distance travelled by a ball before coming to rest if it is dropped from 120m height. "
"If loga,logb, and logc are in A.P. and also logaโlog2b, log2bโlog3c, log3cโloga are in A.P., then"
(a) a,b,c are in H.P (b) a, 2b, 3c are in A.P. ( c) a, b, c are side of triangle (d) None of the above
(666โฆ6)^2+(888โฆ8)= ?[Each number is n digits]
๐๐ 3+1/4 (3+๐)+1/4^2 (3+2๐)+โฆ.โ=8, ๐กโ๐๐ ๐= ?
[๐๐๐๐ธ] ๐โ๐ ๐๐๐ ๐๐๐ก๐ข๐๐๐ ๐๐ข๐๐๐๐๐ โ๐๐ฃ๐ ๐๐๐๐ ๐๐๐ฃ๐๐๐๐ ๐๐๐ก๐ ๐๐๐๐ข๐๐ ๐๐ (1,3);(5,7,9,11); (13,15,17,19,21,23);โฆ.๐โ๐ ๐ ๐ข๐ ๐๐ ๐๐ข๐๐๐๐๐ ๐๐ 10๐กโ ๐๐๐๐ข๐ ๐๐ ?
[๐ด๐๐ถ 2005]๐ผ๐ ๐กโ๐ ๐๐๐ฃ๐โ๐ ๐๐๐๐ ๐ ๐ก๐๐ ๐ โ๐๐ค๐, ๐กโ๐ ๐๐๐ก๐ก๐๐๐ ๐ด, ๐ต, ๐ถ, ๐ท, ๐๐๐ ๐ธ ๐๐๐ ๐๐๐๐๐๐๐๐ ๐๐ฆ
๐กโ๐ ๐๐ข๐๐๐๐๐ 3, 5, 6, 7, ๐๐๐ 9, ๐๐๐กโ๐๐ข๐โ ๐๐๐ก ๐๐๐๐๐ ๐ ๐๐๐๐๐ฆ ๐๐ ๐กโ๐๐ ๐๐๐๐๐. ๐โ๐ ๐ ๐ข๐๐ ๐๐ ๐กโ๐ ๐๐ข๐๐๐๐๐ ๐๐ก ๐กโ๐ ๐๐๐๐ ๐๐ ๐กโ๐ ๐๐๐๐ ๐ ๐๐๐๐๐๐ก๐ ๐ด๐ต, ๐ต๐ถ, ๐ถ๐ท, ๐ท๐ธ, ๐๐๐ ๐ธ๐ด ๐๐๐๐ ๐๐ ๐๐๐๐กโ๐๐๐ก๐๐ ๐ ๐๐๐ข๐๐๐๐, ๐๐๐กโ๐๐ข๐โ ๐๐๐ก ๐๐๐๐๐ ๐ ๐๐๐๐๐ฆ ๐๐ ๐กโ๐๐ ๐๐๐๐๐. ๐โ๐๐ก ๐๐ ๐กโ๐ ๐๐๐๐๐๐ ๐ก๐๐๐ ๐๐ ๐กโ๐ ๐ ๐๐๐ข๐๐๐๐?
๐โ๐ ๐ก๐๐๐๐ ๐๐ ๐๐ ๐๐๐๐กโ๐๐๐ก๐๐ ๐ ๐๐๐ข๐๐๐๐ ๐๐๐ ๐ก๐ 715. ๐โ๐ ๐๐๐๐ ๐ก ๐ก๐๐๐ ๐๐ ๐กโ๐ ๐ ๐๐๐ข๐๐๐๐ ๐๐ ๐๐๐๐๐๐๐ ๐๐ ๐๐ฆ 1, ๐กโ๐ ๐ ๐๐๐๐๐ ๐ก๐๐๐ ๐๐ ๐๐๐๐๐๐๐ ๐๐ ๐๐ฆ 3, ๐กโ๐ ๐กโ๐๐๐ ๐ก๐๐๐ ๐๐ ๐๐๐๐๐๐๐ ๐๐ ๐๐ฆ 5, ๐๐๐ ๐๐ ๐๐๐๐๐๐๐, ๐กโ๐ ๐๐กโ ๐ก๐๐๐ ๐๐ ๐๐๐๐๐๐๐ ๐๐ ๐๐ฆ ๐กโ๐ ๐๐กโ ๐๐๐ ๐๐๐ ๐๐ก๐๐ฃ๐ ๐๐๐ก๐๐๐๐. ๐โ๐ ๐ก๐๐๐๐ ๐๐ ๐กโ๐ ๐๐๐ค ๐ ๐๐๐ข๐๐๐๐ ๐๐๐ ๐ก๐ 836.
๐น๐๐๐ ๐กโ๐ ๐ ๐ข๐ ๐๐ ๐กโ๐ ๐๐๐๐ ๐ก, ๐๐๐ ๐ก, ๐๐๐ ๐๐๐๐๐๐ ๐ก๐๐๐ ๐๐ ๐กโ๐ ๐๐๐๐๐๐๐๐ ๐ ๐๐๐ข๐๐๐๐. [AIME 2012]