Q&A: practice questions with answers

Concept: Work backwards from the final direction, undoing each turn (${45}^{\circ }$ right, then two ${90}^{\circ }$ left turns).

1. Let the starting direction be $x$. A ${45}^{\circ }$ right turn gives $x+{45}^{\circ }$.
2. A left turn gives $x+{45}^{\circ }-{90}^{\circ }=x-{45}^{\circ }$; another left turn gives $x-{135}^{\circ }$.
3. Final direction is north-west (${315}^{\circ }$ from North): $x-{135}^{\circ }={315}^{\circ }\Rightarrow x={450}^{\circ }={90}^{\circ }$, i.e. East.
4. Check: East → right ${45}^{\circ }$ = South-east → left = North-east → left = North-west.

Trick: Total turning = $+{45}^{\circ }-{90}^{\circ }-{90}^{\circ }=-{135}^{\circ }$; so start = final direction rotated ${135}^{\circ }$ clockwise: NW → E.

Answer: (A) East

Concept: Check the differences between consecutive terms.

1. Known differences: $100-81=19$, $120-100=20$, $141-120=21$.
2. So the differences increase by 1: the two earlier gaps are 17 and 18.
3. $46+17=63$ and $63+18=81$ ✓.

Trick: Work backwards from the known end of the series when the missing term is near the start.

Answer: (C) 63

Concept: Read the 12 arrow positions from the bottom-right, moving left along each row and then up. In every step the next two positions change: the first becomes blank, the second turns downward.

1. Fig 2: bottom row – 4th blank, 3rd down.
2. Fig 3: bottom row – 2nd blank, 1st down.
3. Fig 4: middle row – 4th blank, 3rd down.
4. Fig 5: middle row – 2nd blank, 1st down. So top row: all up; middle and bottom rows: ↓ _ ↓ _ — this is option (A).

Trick: Count changed arrows: 0, 2, 4, 6 → the answer must show 8 changes.

Answer: (A) Option (A)

Concept: Track each letter position separately.

1. 1st: G, I, K, M → $+2$ → O.
2. 2nd: X, V, T, R → $-2$ → P.
3. 3rd: M, O, Q, S → $+2$ → U.
4. 4th: A, Y, W, U → $-2$ → S.

Trick: Alternate positions move $+2$ and $-2$; just read OPUS.

Answer: (C) OPUS

Concept: Look at the differences between consecutive terms.

1. $9-8=1=1^2$, $13-9=4=2^2$, $22-13=9=3^2$.
2. Next difference $=4^2=16$.
3. $22+16=38$.

Trick: Differences 1, 4, 9 → perfect squares; next square is 16.

Answer: (D) 38

Concept: All words start with "Pur"; compare the 4th letter, then the next differing letter.

1. 4th letters: Purchased (c), Purgatory (g), Purify (i), Purports / Purposively (p), Pursuit (s).
2. Purports vs Purposively: "purpo-r" vs "purpo-s"; r comes before s, so Purports first.
3. Order: Purchased (6), Purgatory (3), Purify (4), Purports (5), Purposively (1), Pursuit (2).

Trick: Strike off the common prefix and compare only the first differing letter.

Answer: (B) 6, 3, 4, 5, 1, 2

Concept: When a transparent sheet is folded along the middle vertical line, the right half is reflected onto the left half; the left half stays as it is.

1. Left half: an arrow pointing up-left — it stays unchanged.
2. Right half: an arrow from the upper-middle going down to the bottom-right corner.
3. Reflected onto the left, it runs from near the fold down to the bottom-left corner, pointing down-left.
4. The two arrows cross, forming an X with heads at top-left and bottom-left — option (A).

Trick: Mirror only the folded half: left–right swap, up–down stays the same.

Answer: (A) Option (A)

Concept: Find the shift applied to each letter position.

1. FROM → HSNK: F$+2$=H, R$+1$=S, O$-1$=N, M$-2$=K.
2. WAKE → YBJC follows the same $+2,+1,-1,-2$ pattern.
3. JUMP: J$+2$=L, U$+1$=V, M$-1$=L, P$-2$=N → LVLN.

Trick: Pattern $+2,+1,-1,-2$ is symmetric — easy to remember.

Answer: (A) LVLN

Concept: Track each of the four positions separately using place values.

1. 1st: U(21), P(16), ?, F(6), A(1) → $-5$ each → K(11).
2. 2nd: B, D, ?, H, J → $+2$ → F.
3. 3rd: I, K, ?, O, Q → $+2$ → M.
4. 4th: G, L, ?, V, A → $+5$ (L$+5$=Q, Q$+5$=V) → Q.

Trick: Use the terms on both sides of the gap to confirm each step.

Answer: (D) KFMQ

Concept: Folding the transparent sheet at the middle vertical line reflects the right half onto the left half.

1. Left half: one arrow from the bottom-right corner (at the fold) pointing up-left — unchanged.
2. Right half: two arrows from the bottom-right corner to the top edge (one at the fold, one near the middle).
3. Reflected, both start at the bottom-left corner and point up to the top edge — one to the top-right corner, one to the top-middle.
4. This matches option (A).

Trick: An arrow starting at the far edge of the folded half will start at the far edge of the other half.

Answer: (A) Option (A)

Concept: Interchange the signs first, then apply BODMAS.

1. After swapping + and −: $8+3\times 4-16÷2$.
2. $=8+12-8$.
3. $=12$.

Trick: Rewrite the whole expression with new signs before calculating — never swap mentally.

Answer: (A) 12

Concept: Compare letter positions: DRIVE → RDEVI.

1. The first two letters are swapped: DR → RD.
2. The last three letters are reversed: IVE → EVI.
3. Check: STOCK → TS + KCO = TSKCO ✓.
4. MOULD → OM + DLU = OMDLU.

Trick: Split the word as 2 + 3 letters and see what happens to each block.

Answer: (A) OMDLU

Concept: Lions and jackals are both animals, but no lion is a jackal.

1. Lions ⊂ Animals and Jackals ⊂ Animals.
2. Lions and Jackals do not overlap.
3. So two separate small circles inside one big circle — option (B).

Trick: Two different kinds of the same thing = two separate circles inside a big circle.

Answer: (B) Option (B)

Concept: Find how each number relates to the next in the given sets.

1. $84=28\times 3$ and $28=4\times 7$.
2. $147=49\times 3$ and $49=7\times 7$.
3. Rule: 1st $=3\times$ 2nd, 2nd $=7\times$ 3rd.
4. (231, 77, 11): $77\times 3=231$, $11\times 7=77$ ✓.

Trick: Middle number = $7\times$ last; first = $21\times$ last ($11\times 21=231$).

Answer: (A) (231, 77, 11)

Concept: Code = (sum of letter positions) × (number of letters).

1. COOL: $3+15+15+12=45$; $45\times 4=180$ ✓.
2. MAN: $13+1+14=28$; $28\times 3=84$ ✓.
3. QUIET: $17+21+9+5+20=72$; $72\times 5=360$.

Trick: If the code is divisible by the word length, divide and check against the letter-sum.

Answer: (B) 360

Concept: The figure X must appear inside an option with the same size and orientation (no rotation).

1. X has a tall vertical bar on top, a horizontal bar ending in a slanting point on the right, a slanted cut at the bottom-left and an L-shaped foot at the bottom.
2. In option (A) all these lines are traced exactly in the same orientation inside the square and circle.
3. In (B), (C) and (D) the slanted parts or the L-foot face a different direction or are missing.

Trick: Match the most unusual part first (the slanting tip on the right), then check the rest.

Answer: (A) Option (A)

Concept: Replace the letters with the signs and use BODMAS.

1. $96÷4-5\times 7+20$.
2. $=24-35+20$.
3. $=9$.

Trick: Do ÷ and × first, then add and subtract from left to right.

Answer: (A) 9

Concept: Find the multipliers linking the numbers.

1. $21\times 3=63$, $63\times 6=378$.
2. $23\times 3=69$, $69\times 6=414$.
3. (27, 81, 486): $27\times 3=81$, $81\times 6=486$ ✓.

Trick: Third number $=18\times$ first: $27\times 18=486$.

Answer: (B) (27, 81, 486)

Concept: Check the gaps between the letters of each cluster.

1. SWT: S(19) $+4$ W(23) $-3$ T(20).
2. OSP: $+4$, $-3$; UYV: $+4$, $-3$.
3. QUS: Q(17) $+4$ U(21) $-2$ S(19) — different.

Trick: Only the second gap changes; compare first and last letters: S→T, O→P, U→V are $+1$ but Q→S is $+2$.

Answer: (B) QUS

Concept: All terms are consecutive prime numbers.

1. 101, 103, 107, 109 are consecutive primes.
2. After 109 the next prime is 113 (111 $=3\times 37$ is not prime).
3. Then 127, 131, 137 follow ✓.

Yaad rakhein: Primes between 100 and 140: 101, 103, 107, 109, 113, 127, 131, 137, 139.

Answer: (D) 113