Govt. Exams
Entrance Exams
M→O, A→C, C→E, H→J, I→K, N→P, E→G. Each letter shifts 2 positions forward.
SMART→TNBSU: S(+1)=T, M(+1)=N, A(+1)=B, R(+1)=S, T(+1)=U. Simple +1 shift. For BRAIN: B(+1)=C, R(+1)=S, A(+1)=B, I(+1)=J, N(+1)=O = CSBJO
MUSIC→NVTJD: M(+1)=N, U(+1)=V, S(+1)=T, I(+1)=J, C(+1)=D. For DANCE: D(+1)=E, A(+1)=B, N(+1)=O, C(+1)=D, E(+1)=F = EBOFF (wait, this should be EBOFF but C is 3rd, not 4th in DANCE)
Position in alphabet: B=2, O=15, O=15, K=11. For BACK: B=2, A=1, C=3, K=11 = 2-1-3-11
Letters are coded by their position in alphabet. C=3, A=1, T=20. Similarly D=4, O=15, G=7.
Each letter is shifted one position forward in the alphabet. K→L, E→F, Y→Z, B→C, O→P, A→B, R→S, D→E. So KEYBOARD = LEZCSBTD. Wait, checking: K(+1)=L, E(+1)=F, Y(+1)=Z, B(+1)=C, O(+1)=P, A(+1)=B, R(+1)=S, D(+1)=E = LFZCSPTF. Re-checking COMPUTER: C→D, O→P, M→N, P→Q, U→V, T→U, E→F, R→S = DPNQVUFS. Correct. For KEYBOARD: K→L, E→F, Y→Z, B→C, O→P, A→B, R→S, D→E = LFZCSPTF. Hmm, this doesn't match options. Actually checking option B: LEZCSBTF has pattern inconsistency. The answer should be consistent shift of +1.
These are triangular numbers. Each term adds consecutive integers: 1, 1+2=3, 3+3=6, 6+4=10, 10+5=15, 15+6=21, 21+7=28, 28+8=36.
Pattern: n(n+1) where n starts from 1. 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42, 7×8=56.
Powers of 2: 2¹, 2², 2³, 2⁴, 2⁵, 2⁶, 2⁷, 2⁸ = 256
Each term is multiplied by 2. 112 × 2 = 224
