27 November 2025 · Shift 2

Ranking and position When one person's rank is counted from both ends, total = (rank from the top) + (rank from the bottom) -1, because that person gets counted twice. Number of passed students =14+19-1=32 Total students = passed students + failed students =32+9=41 Hence the correct option is (a).

Ranking and position A is 12th from the left and C is 8 places to the right of A, so C's position from the left =12+8=20th. C is exactly in the middle of A and B, so C is as far from B as it is from A, i.e. B is 8 places to the right of C. B's position from the left =20+8=28th. B is 28th from the left and 18th from the right, so total children =28+18-1=45. Hence the correct option is (d).

Ranking and position When two people interchange seats, each takes the other's original place. So Mohan's new position, 24th from the left, was Sohan's original position from the left. Sohan is therefore 24th from the left and 16th from the right. Total students =24+16-1=39 Mohan's own starting rank of 15th is extra information and is not needed. Hence the correct option is (c).

Blood relation A is the father of D, and B is the daughter of A, so B and D are children of A. C is the brother of D, so C is also a child of A — that is, A is C's father. F is the son of C, so F belongs to the generation below C. A is thus two generations above F, and A is a male, so A is the grandfather of F. Hence the correct option is (b).

Syllogism 'All trees are tall' puts the whole class of trees inside the class of tall things. 'No flower is a tree' only keeps flowers outside the class of trees; it says nothing about flowers and tallness. Conclusion I: a flower is barred from being a tree, but the tall region outside 'trees' is still open to flowers, so 'No flower is tall' is only a possibility, not a certainty — it does not follow. Conclusion II: trees are tall, and no tree can be a flower, so those trees are tall things that are not flowers — this is definitely true, so it follows. Hence only conclusion II follows, and the correct option is (b).

Number series The multiplier alternates between 3 and 4, and 4 is added every time. $7\times 3+4=25$ $25\times 4+4=104$ $104\times 3+4=316$ So the missing term $=316\times 4+4=1264+4=1268$ The pattern continues: $1268\times 3+4=3808$, $3808\times 4+4=15236$, $15236\times 3+4=45712$. Hence the correct option is (b).

Wrong term in series Ignore the minus signs and look at how fast the numbers grow; the gap should increase by 1 each step: +11,+12,+13,+14,+15,+16,+17. 319+11=330, 330+12=342, 342+13=355 The next gap must be +14, so the fifth term should be 355+14=369, i.e. -369. The remaining terms confirm the rule: 369+15=384, 384+16=400, 400+17=417. So the term printed as -368 is the wrong one, and the correct option is (a).

Number series Here the multiplier alternates between 3 and 4, and 5 is added every time. $4\times 3+5=12+5=17$ So the missing term $=17\times 4+5=68+5=73$ Verify with the later terms: $73\times 3+5=224$, $224\times 4+5=901$, $901\times 3+5=2708$. Hence the correct option is (b).

Letter series Replace each letter by its position in the alphabet: E=5, I=9, L=12, N=14. The gaps are +4, +3, +2 — each gap is one less than the one before it. So the next gap is +1, giving 14+1=15, and the 15th letter is O. Hence the correct option is (a).

Mathematical operations Find what the symbol # does: multiply the two numbers and then multiply the product by 4. $\left(15\times 20\right)\times 4=300\times 4=1200$ $\left(5\times 40\right)\times 4=200\times 4=800$ Both given results agree, so apply the same rule to 25 # 30. $\left(25\times 30\right)\times 4=750\times 4=3000$ Hence the correct option is (a).

Mathematical operations The rule joining the three numbers is: first number - (second number $\times$ third number). $650-\left(5\times 12\right)=650-60=590$ $820-\left(35\times 25\right)=820-875=-55$ Both given values match, so apply the same rule to the last expression with 945, 6 and 8. $945-\left(6\times 8\right)=945-48=897$ Hence the correct option is (b).

Syllogism 'Only some engineers are scientists' means two things: some engineers are scientists, and some engineers are definitely not scientists. Conclusion I: those engineers who are not scientists may still be intelligent — nothing in the statements shuts them out of the 'intelligent' circle — so 'Some engineers are not intelligent' is only a possibility and does not follow. Conclusion II: some scientists are artists, and all artists are intelligent, so those scientists are certainly intelligent. Converting 'some scientists are intelligent' gives 'some intelligent are scientists', which therefore follows. Hence only conclusion II follows, and the correct option is (c).

Floor arrangement Number the floors 1 (bottom) to 6 (top). Two persons live between P and R and P is above R, so P's floor = R's floor +3. N lives just above P, so P cannot be on floor 6; this leaves R on 1 with P on 4, or R on 2 with P on 5. Take R on 1 and P on 4: then N is on 5 and floors 2, 3, 6 are left for M, O and Q. M is just above O, so the only pair available is O on 2 and M on 3 — but O may not live on the second floor from the bottom, so this case fails. So R is on 2, P on 5 and N on 6. Floors 1, 3 and 4 remain; M just above O gives O on 3 and M on 4, and Q takes floor 1. Q sits on the lowest floor, so nobody lives below Q. Hence the correct option is (a).

Comparison ordering From 'D is more than E but less than B and C' we get B > D, C > D and D > E. A has the highest price, so A stands at the top of the chain. The extra condition B < C fixes the order of B and C, giving A > C > B > D > E. Only A and C stand above B, so the price of 2 cups is more than that of B. Hence the correct option is (a).

Comparison ordering U is taller than R and Q but shorter than S and T, so S > U, T > U, U > R and U > Q. P is the second tallest, so the tallest player is neither P nor anyone below U; it must be S or T. T is not the tallest, so S is the tallest. The full order is S > P > T > U > R and Q (in some order). Hence the correct option is (b).

Circular seating arrangement All eight boys face the centre, so for every boy the neighbour on his right is the one placed anticlockwise to him and the neighbour on his left is the one placed clockwise to him. Y and U are the immediate neighbours of W, so the block Y - W - U is fixed, and X is to the immediate left of T gives the block T - X. Z sits to the immediate right of S, and Z may sit beside neither W nor V, so the boy on Z's right has to be U; V then takes the only seat left, between S and T. Counting towards the right (anticlockwise) from Z: U is first and W is second. Hence, option (b) W is the most appropriate answer.

Logical inference The statement lays down a rule: finishing a project before the deadline is the condition, and the bonus is its result. Rahul is said to satisfy that condition this month, so the rule applies to him directly and its result must follow. Options (b), (c) and (d) talk about his habit, his leave and his nature - none of these is contained in the statement, so none of them can be inferred. Hence, option (a) is the most appropriate answer.

Symbol substitution Replace every substitute by the real sign it stands for; in this expression only two of them occur. The wave symbol stands for $\times$ and the dollar symbol stands for +, so the expression becomes $12\times 5\times 7+3$. By BODMAS the multiplication is done first: $12\times 5\times 7=420$. Then 420+3=423. Hence, option (b) is the most appropriate answer.

Sign interchange Every $\times$ in the expression becomes - and every - becomes $\times$. So $18\times 8-24÷4+12$ becomes $18-8\times 24÷4+12$. By BODMAS, division and multiplication come first: $8\times 24÷4=8\times 6=48$. Now 18-48+12=-30+12=-18. Hence, option (c) is the most appropriate answer.

Number interchange Wherever the number 4 stands alone it becomes 6 and wherever 6 stands alone it becomes 4; the digits inside 10, 12 and so on are not touched. Equation I becomes $3\times 4+6-10÷2$. =12+6-5=13, which is the same as the right-hand side, so equation I stays correct. Equation II becomes $8\times 4+6-12÷3$. =32+6-4=34, but the right-hand side is 18, so equation II is not correct. Hence, option (b) Only II is the most appropriate answer.

Letter coding Write the alphabetical position of each letter of the word and of its code and compare them place by place. $C\left(3\right)\to I\left(9\right)$ is +6, $P\left(16\right)\to W\left(23\right)$ is +7, $E\left(5\right)\to K\left(11\right)$ is +6 and $T\left(20\right)\to A$ is +7 (after Z the counting starts again at A). TLJQ obeys the very same pattern, which confirms the rule +6,+7,+6,+7. For CPXM: C+6=I, P+7=W, X(24)+6=30-26=4=D and M(13)+7=20=T. Hence, option (b) IWDT is the most appropriate answer.

Letter coding Compare the positions of the letters of the word with those of its code, place by place. $R\left(18\right)\to N\left(14\right)$ is -4, $S\left(19\right)\to N\left(14\right)$ is -5, $N\left(14\right)\to J\left(10\right)$ is -4 and $V\left(22\right)\to Q\left(17\right)$ is -5. GDHQ follows the same rule - G-4=C, D-5=Y (before A the counting continues from Z), H-4=D, Q-5=L. For ONRG: O(15)-4=11=K, N(14)-5=9=I, R(18)-4=14=N and G(7)-5=2=B. Hence, option (b) KINB is the most appropriate answer.

Missing letters series The string has 16 letters, so break it into four blocks of four: t _ p p / _ k p p / t k p _ / t k _ p. Every block is the same group tkpp, and each blank is simply the letter missing from that block. Reading the blanks from left to right gives k, t, p, p. Hence, option (b) ktpp is the most appropriate answer.

Letter-number series Treat the two letters and the number of each term separately. Letters: each letter goes 5 steps back - $O\left(15\right)\to J\left(10\right)$, $K\left(11\right)\to F\left(6\right)$, $J\to E$, $F\to A$, and before A the counting continues from Z. So after Z(26) and V(22) come 26-5=21=U and 22-5=17=Q. Numbers: $34\times 4=136$, $136\times 4=544$, $544\times 4=2176$, so the next number is $2176\times 4=8704$. The missing term is therefore UQ8704. Hence, option (c) is the most appropriate answer.

Letter-number series Study the first letter, the second letter and the number of each term separately. First letters: $N\left(14\right)\to Q\left(17\right)\to T\left(20\right)\to W\left(23\right)$, a jump of +3 each time, so the next one is 23+3=26=Z. Second letters: $X\left(24\right)\to T\left(20\right)\to P\left(16\right)\to L\left(12\right)$, a jump of -4 each time, so the next one is 12-4=8=H. Numbers: $32\times 3+1=97$, $97\times 3+1=292$, $292\times 3+1=877$, so the next number is $877\times 3+1=2632$. The missing term is therefore ZH2632. Hence, option (b) is the most appropriate answer.