17 November 2025 · Shift 1

Ratio, distribution of money Let the shares of A, B and C be 4x, 8x and 9x. B's share is given, so 8x=1600. $x=\frac{1600}{8}=200$, i.e. one ratio unit is worth ₹200. Total sum =4x+8x+9x=21x. $21x=21\times 200=4200$. Hence the total sum is ₹4,200 and option (c) is correct.

Time and work, inverse variation The work is the same in both cases, so the number of men and the number of days vary inversely. Formula: $M_1\times D_1=M_2\times D_2$. $12\times 9=M_2\times 6$. $M_2=\frac{108}{6}=18$. Hence 18 men are required and option (c) is correct.

Letter coding, forward shift Compare BAT with its code DCV letter by letter. B(2)+2=D(4), A(1)+2=C(3) and T(20)+2=V(22) - every letter moves 2 places forward. Applying the same rule to GOAT: G+2=I, O+2=Q, A+2=C, T+2=V. So GOAT is written as IQCV and option (a) is correct.

Letter coding, forward shift Write ORANG above RUDQJ and find the gap at each position. O(15)+3=R(18), R(18)+3=U(21), A(1)+3=D(4), N(14)+3=Q(17), G(7)+3=J(10). So each letter is moved 3 places forward. For MANGO: M+3=P, A+3=D, N+3=Q, G+3=J, O+3=R. MANGO is therefore written as PDQJR, so option (a) is correct.

Letter coding, positional shift Write TRAIN above its code UTBJP and measure the shift at each position separately. $T\to U$ is +1, $R\to T$ is +2, $A\to B$ is +1, $I\to J$ is +1 and $N\to P$ is +2. The shifts are not the same for every letter; they belong to the positions, in the fixed pattern +1,+2,+1,+1,+2. Applying that pattern to BOARD: B+1=C, O+2=Q, A+1=B, R+1=S, D+2=F. BOARD is therefore written as CQBSF, so option (a) is correct.

Coding by reversal Read the code ESUOH from its last letter to its first: H, O, U, S, E - that is the word HOUSE itself. So the rule is simply to write the letters in the reverse order; no letter is changed or shifted. Reversing TRAIN gives N, I, A, R, T. TRAIN is therefore written as NIART, so option (a) is correct.

Ratio, division of a sum Let the shares of P, Q and R be 3x, 4x and 3x. Their sum is the whole amount: 3x+4x+3x=1800. 10x=1800, so $x=\frac{1800}{10}=180$. Q's share $=4x=4\times 180=720$. Hence Q receives ₹720 and option (d) is correct.

Substitution in an expression Put A=-4 and B=5 into $3A^2-4B+10$. $A^2={\left(-4\right)}^2=16$, so $3A^2=3\times 16=48$. $4B=4\times 5=20$. $3A^2-4B+10=48-20+10$. =38. Note that squaring removes the minus sign; writing $A^2=-16$ is the usual slip. Hence option (b) is correct.

Number analogy, digit sum Compare 374 with 14 and look at the digits of the first number. 3+7+4=14, which is exactly the second number. So in each pair the second number is the digit sum of the first. For 441: 4+4+1=9. Hence the missing number is 9 and option (a) is correct.

Number analogy, halving Compare 312 with 156: $\frac{312}{2}=156$. So the second number of each pair is half of the first. For 412: $\frac{412}{2}=206$. Hence the missing number is 206 and option (a) is correct.

AP, number of terms The terms 25, 30, 35, 40, ... increase by 5 each time, so this is an AP with first term a=25 and common difference d=5. Formula for the last term: l=a+(n-1)d. $215=25+\left(n-1\right)\times 5$. $215-25=\left(n-1\right)\times 5$, so $190=\left(n-1\right)\times 5$. $n-1=\frac{190}{5}=38$. n=38+1=39. Hence the series has 39 terms and option (a) is correct.

AP, position of a term The series 5, 10, 15, 20, ... is an AP with a=5 and d=5. Formula for the n-th term: $a_n=a+\left(n-1\right)d$. $130=5+\left(n-1\right)\times 5$. $125=\left(n-1\right)\times 5$, so n-1=25. n=26. Quick check: every term is a multiple of 5, so the position of 130 is $\frac{130}{5}=26$. Hence 130 is the 26th term and option (c) is correct.

Odd one out, art forms Painting, drawing and sketching are all done on a flat surface such as paper or canvas, so they are two-dimensional art forms. Sculpture is made by carving, casting or moulding solid material, so the finished work has length, breadth and height. Being three-dimensional, sculpture does not belong with the other three. Hence option (d) is correct.

Odd one out, place names Australia, India and Japan are names of countries. Nilgiri is not a country; it is a hill range of the Western Ghats where Tamil Nadu, Kerala and Karnataka meet, famous for Ooty and for Nilgiri tea. Since it names a mountain range and not a nation, Nilgiri is the word that does not fit the group. Hence option (d) is correct.

Odd one out, energy sources Group the four options by the kind of energy they stand for. Solar energy, the wind tapped by a wind turbine and biomass are all renewable - nature keeps replacing them within a short time. Coal is a fossil fuel formed from buried plant matter over millions of years, so once it is burnt it cannot be replaced in a human lifetime. Being the only non-renewable source, coal is the odd one out. Hence option (a) is correct.

Position-shift letter series Every term is 8 letters long and contains exactly one c, so only the place of c changes from term to term. c stands at the 3rd place, then at the 2nd place, then at the 1st place, i.e. it moves one place to the left each time. After the 1st place it comes round to the last (8th) place, so the next term is seven b's followed by c. Hence, option (b) bbbbbbbc is the most appropriate answer.

Letter-number series Break every term into its letter part and its number part and study the two separately. Letters: A(1), B(2), D(4), G(7) — the jumps are +1, +2, +3, so the next jump is +4 and the letter is the 7+4=11th letter, K. Numbers: $1^3=1$, $2^3=8$, $3^3=27$, $4^3=64$, so the next number is $5^3=125$. The missing term is therefore K125. Hence, option (a) is the most appropriate answer.

Alphabet series Write the alphabetical position of each letter: C = 3, F = 6, J = 10, O = 15, U = 21. The differences are +3, +4, +5, +6 — each gap is one more than the previous one, so the next gap is +7. Next position =21+7=28; the alphabet has only 26 letters, so counting on past Z gives 28-26=2, i.e. B. Hence, option (c) is the most appropriate answer.

Letter cluster series Compare the first, second and third letters of the clusters separately. 1st letters: S(19), V(22), Y(25) move +3 each time, so the next is 25+3=28, i.e. 28-26=2 = B. 2nd letters: Q(17), R(18), S(19) move +1 each time, so the next is T(20). 3rd letters: N(14), J(10), F(6) move -4 each time, so the next is 6-4=2 = B. Putting the three letters together, the missing cluster is BTB. Hence, option (a) is the most appropriate answer.

Growing letter series Each term is simply the opening letters of the alphabet written in their natural order. Every new term keeps the previous term unchanged and adds the next letter of the alphabet at its end, so the lengths run 2, 3, 4, 5, 6, 7, … The 7th term ABCDEFG has 7 letters, so the next term has 8 letters in alphabetical order: ABCDEFGH. The other options contain the same eight letters, but in each of them two letters are out of alphabetical order. Hence, option (a) is the most appropriate answer.

Missing letters series Only the letters k, l, m, n occur and the string is 12 places long, so try the block klmn repeated three times. Splitting the given string into blocks of four gives k _ m _ / _ l m _ / k _ m n. Wherever a letter is already printed it agrees with klmn, so the pattern is confirmed. Completing every block as klmn, the blanks taken in order are l, n, k, n, l. Hence, option (a) is the most appropriate answer.

Letter cluster series Inside every cluster the three letters rise in steps of 3: D→G→J, F→I→L, H→K→N. From one cluster to the next each letter moves 2 places forward: D→F→H, G→I→K, J→L→N. So the next cluster is H+2=J, K+2=M, N+2=P, i.e. JMP. Hence, option (a) is the most appropriate answer.

Letter cluster series Inside every cluster the letters rise in steps of 3: D, G, J — and the same gap of 3 holds in EHK and FIL. From one cluster to the next every letter moves just 1 place forward: DGJ → EHK → FIL. So the next cluster is F+1=G, I+1=J, L+1=M, i.e. GJM. Hence, option (a) is the most appropriate answer.

Substitution of signs The signs work in interchanged pairs: + and $÷$ take each other's place, and $\times$ and - take each other's place. So the expression $64+8\times 3-4÷8$ has to be read as $64÷8-3\times 4+8$. Now apply BODMAS — division and multiplication first: $64÷8=8$ and $3\times 4=12$. Value =8-12+8=4. Hence, option (b) is the most appropriate answer.

Number series Take the differences of consecutive terms: 25-13=12, 41-25=16, 61-41=20, 85-61=24. These differences themselves grow by 4 each time, so the next difference is 24+4=28. Next term =85+28=113. Hence, option (a) is the most appropriate answer.