26 September 2025 · Shift 2

Address matching Only the state name differs across the four options. (b) has Assam, (c) Odisha and (d) Bihar. The sample names West Bengal, which only (a) carries. Hence option (a).

Ordering by date Rajkot was not on 11 August, so 11 August belongs to Surat or Vadodara. Vadodara came after Surat, so Surat cannot be on the last date. Therefore 11 August must be Vadodara’s. = 11 August — option (c).

Alternating square steps The changes alternate: + 2², − 3², + 4², − 5², + 6². 76 + 4 = 80, 80 − 9 = 71 ✓. 71 + 16 = 87, then 87 − 25 = 62 ✓ and 62 + 36 = 98 ✓. = 87 — option (b).

×2 + 1 The rule is × 2 + 1 each time. 4→9 ✓, 9→19 ✓, 19→39 ✓. But 39 × 2 + 1 = 79, while the series shows 78 ✗ (and 79 × 2 + 1 = 159 ✓). Hence 78 — option (c).

Divisibility by 9 A number leaves the same remainder on division by 9 as the sum of its digits does. 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 + 0 = 36. 36 is exactly divisible by 9. So the remainder is 0 — option (c).

Cubes Rule: the number is cubed. Check: 10³ = 1000 ✓ and 11³ = 1331 ✓. 12³ = 12 × 12 × 12. = 1728 — option (c).

Two equations From the first equation, Q = 2R − P. From the second, S = 2P − R. Q + S = (2R − P) + (2P − R) = P + R. So P + R = Q + S — option (a).

Gujarat cities Ahmedabad, Surat, Vadodara and Rajkot are all cities of GUJARAT. Jaipur is in Rajasthan. So it belongs to a different state. Hence option (c).

Number-letter code Decode option (a): 1→S, 2→T, 3→A, 4→R, 2→T, 5→E, 4→R, 1→S. That spells STARTERS, a meaningful word ✓. Option (b) gives STARTRES, (c) TSARTERS and (d) STRATERS — none is a word. Hence option (a).

Descending digits The digits are 9, 6, 2, 4, 5, 3, 8, 7, 1, 2, 4, 5, 6. In descending order: 9, 8, 7, 6, 6, 5, 5, 4, 4, 3, 2, 2, 1. 4th from the left = 6; 3rd from the right = 2. 6 − 2 = 4 — option (a).

Boat and stream Downstream speed = $\frac{15}{3}$ = 5 km/h. Upstream speed = $\frac{9}{3}$ = 3 km/h. Speed of stream = $\frac{\mathrm{downstream}-\mathrm{upstream}}{2}$. = $\frac{5-3}{2}$ = 1 km/h — option (a).

Square then reverse Rule: square the number, then reverse the digits of the square. Check: 13² = 169, and 169 reversed is 961 ✓. 15² = 225. 225 reversed = 522 — option (a).

Syllogism Some flowers are red, and every red thing is beautiful. So those flowers are certainly beautiful — I follows. The remaining flowers may or may not be beautiful, so II is not certain. Only I — option (a).

Assumptions A rule is framed only when there is a reason behind it — here, the mess that food would cause. So I is implicit. A notice is put up only when the problem actually arises, which means people do bring snacks in. So II is implicit too. Both assumptions lie behind the notice. Hence option (c).

Series (÷5) Each term is the previous one divided by 5. 3125 ÷ 5 = 625 and 625 ÷ 5 = 125 ✓. 125 ÷ 5. = 25 — option (b).

Letter pairs (+1, −1) 1st letters: B, C, D, E — each +1 ⇒ next is F. 2nd letters: Y, X, W, V — each −1 ⇒ next is U. So the pair is F and U. Hence FU — option (b).

Coding (−1) Every letter moves one place back: M−1 = L, U−1 = T, M−1 = L, B−1 = A, A−1 = Z, I−1 = H ✓. Apply to DELHI: D−1 = C, E−1 = D, L−1 = K. H−1 = G, I−1 = H. Hence CDKGH — option (b).

Letter pairs (+1, +1) 1st letters: B, C, D — each +1 ⇒ next is E. 2nd letters: H, I, J — each +1 ⇒ next is K. So the pair is E and K. Hence EK — option (a).

Prime numbers These are consecutive PRIME numbers. 2, 3, 5, 7, 11 ✓. The next prime after 11 is 13. = 13 — option (c).

Diagonal Diagonal = $\sqrt{l\mathrm{²}+b\mathrm{²}}$. = $\sqrt{\mathrm{60²}+\mathrm{40²}}$ = $\sqrt{3600+1600}$. = $\sqrt{5200}$ ≈ 72.1. ≈ 72 m — option (a).

Position-wise shifts Compare TRICK with VSKEL: T+2 = V, R+1 = S, I+2 = K, C+2 = E, K+1 = L. So the shifts by position are +2, +1, +2, +2, +1. Apply to SMART: S+2 = U, M+1 = N, A+2 = C, R+2 = T, T+1 = U. Hence UNCTU — option (b).

Product 1 to 5 The product is 1 × 2 × 3 × 4 × 5. 1 × 2 × 3 = 6. 6 × 4 = 24, then 24 × 5. = 120 — option (a).

Coding (+1) Every letter moves one place forward: C+1 = D, S+1 = T, J+1 = K, E+1 = F, H+1 = I, F+1 = G ✓. Apply to BRIDGE: B+1 = C, R+1 = S, I+1 = J. D+1 = E, G+1 = H, E+1 = F. Hence CSJEHF — option (a).

Coding (+1) Every letter moves one place forward: E+1 = F, X+1 = Y, A+1 = B, M+1 = N, P+1 = Q, L+1 = M, E+1 = F ✓. Apply to MOBILITY: M+1 = N, O+1 = P, B+1 = C, I+1 = J. L+1 = M, I+1 = J, T+1 = U, Y+1 = Z. Hence NPCJMJUZ — option (a).

Anagram An anagram must use exactly the same letters. RELATING has eight letters: A, E, G, I, L, N, R, T. ALERTING, INTEGRAL and TRIANGLE all use those same eight ✓. LITERAL has only seven letters and needs two Ls — option (d).