Q&A: practice questions with answers

Concept: Each letter's code = its alphabet position multiplied by 5 ($Z=26\times 5=130$).

1. Positions: A = 1, C = 3, E = 5.
2. Multiply each by 5: $1\times 5=5$, $3\times 5=15$, $5\times 5=25$.
3. Code for ACE = 5, 15, 25.

Trick: A, C, E are odd positions 1, 3, 5, so the codes must jump by 10 each time (5, 15, 25). Only option (A) does this.

Answer: (A) 5, 15, 25

Concept: Compare each option part by part with the given address; a single changed word makes it different.

1. House no. 21-B, Rajendra Nagar, Indore and PIN 452001 are the same in all four options.
2. Only the state changes: (B) Maharashtra, (C) Gujarat, (D) Rajasthan.
3. Given state is Madhya Pradesh – found only in (A).

Trick: First find the part that varies among the options (here the state), then check only that part against the original.

Answer: (A) 21-B, Rajendra Nagar, Indore, Madhya Pradesh - 452001

Concept: 'Two days after' a date means add 2 to that date and find the matching event.

1. Nagpur seminar = 7 March.
2. 7 + 2 = 9 March.
3. Seminar on 9 March = Indore.

Trick: Ignore the jumbled list order; just do the date arithmetic and look up the date.

Answer: (B) Indore

Concept: Find the hidden rule from the given examples and apply it to the new pair.

1. Test $a-2b$: $14-8=6$ ✓; $17-12=5$ ✓.
2. Apply: $20-2\times 8=20-16=4$.

Trick: Plain subtraction gives 10 and 11, not 6 and 5 – so the second number must be doubled. Try simple multiples first.

Answer: (A) 4

Concept: The symbol % here simply stands for subtraction: a % b = a − b.

1. 9 − 4 = 5 ✓ and 8 − 3 = 5 ✓.
2. 7 % 2 = 7 − 2 = 5.

Trick: Always test the simplest operation (+, −, ×, ÷) first before trying squares or cubes.

Answer: (C) 5

Concept: Find one rule that fits all three examples: $a\#b=a^2-1$.

1. Since $b=a-1$ every time, the rule $(a-1)(a+1)$ works: $2\times 4=8$, $3\times 5=15$, $4\times 6=24$ ✓.
2. For $6\#5$: $(6-1)(6+1)=5\times 7=35$.

Trick: 8, 15, 24 are each one less than a perfect square (9, 16, 25) – the next is $36-1=35$. Also $6\times 5+5=35$ cross-checks.

Answer: (A) 35

Concept: Group the countries by continent; the one from a different continent is the odd one.

1. Argentina, Brazil, Chile – South America.
2. Japan – an island nation of East Asia.

Yaad rakhein: Chile is the long, narrow country along the Andes; Brazil is the largest country of South America.

Answer: (C) Japan

Concept: A daughter's daughter is a granddaughter.

1. R → daughter Q (one generation down).
2. Q → daughter P (two generations down).
3. P is female and two levels below R ⇒ granddaughter.

Trick: Count generation gaps: gap 2 downward + female = granddaughter. Niece/cousin need a sibling link, which is absent.

Answer: (A) Granddaughter

Concept: $392=49\times 8=7^2\times 8$, so the rule is $n^2\times (n+1)$.

1. Write as $n^3+n^2$: $343+49=392$ ✓ for $n=7$.
2. For $n=8$: $512+64=576$.

Trick: $n^2(n+1)=n^3+n^2$. Option 512 is only $8^3$ – a trap for those who forget the $n^2$ part.

Answer: (B) 576

Concept: All A are B + All B are C ⇒ All A are C; also 'All B are C' always gives 'Some C are B'.

1. Roses ⊂ Flowers ⊂ Plants ⇒ All roses are plants – I follows.
2. All flowers are plants ⇒ conversion gives Some plants are flowers – II follows.

Trick: An 'All' statement always allows a 'Some' conclusion in reverse (All X are Y ⇒ Some Y are X).

Answer: (C) Both I and II follow

Concept: 'Some X are Y' can be reversed to 'Some Y are X'; but a 'No' between two groups needs direct proof.

1. Some teachers are careless ⇒ Some careless are teachers – II follows.
2. Careless teachers are not students, but other teachers may be students – I is not certain.

Trick: From 'No A is B' + 'Some C are B' the only sure result is 'Some C are not A' – never 'No C is A'.

Answer: (B) Only II follows

Concept: Compare letter by letter; the first point of difference decides the order.

1. All words start with g-a-r.
2. 4th letters: garAge (a), garBage (b), garDen (d), garMent (m).
3. 'a' is earliest ⇒ garage comes first.

Trick: Skip the common prefix and look only at the first differing letter.

Answer: (B) garage

Concept: Each letter should be paired with its own alphabet position.

1. E = 5, G = 7, K = 11, M = 13 – all correct.
2. I is the 9th letter, so it should be I9; I8 breaks the rule.

Trick: Remember EJOTY = 5, 10, 15, 20, 25: from E(5) count I as 9 quickly.

Answer: (B) I8

Concept: Each term = previous term $\times 2-1$.

1. 2→3→5 fits ($2\times 2-1$, $3\times 2-1$).
2. Missing: $5\times 2-1=9$.
3. Check: $9\times 2-1=17$, $17\times 2-1=33$ ✓.

Trick: Differences 1, 2, 4, 8, 16 double each time: $5+4=9$, $9+8=17$.

Answer: (D) 9

Concept: The series is the table of 3 (common difference 3).

1. Expected: 3, 6, 9, 12, 15, 18.
2. 14 appears in place of 15 – it is wrong.

Trick: 14 is the only term not divisible by 3 – spot it at a glance.

Answer: (D) 14

Concept: Letters carry their position values; positions change by +1, −2, +3, −4 …

1. 13 → 14 (+1) → 12 (−2) → 15 (+3).
2. Next: 15 − 4 = 11 = K.
3. Answer pair: K11.

Trick: Only the letter is needed – the number always equals its position, so options like J10 or P16 are quickly tested by the −4 step.

Answer: (A) K11

Concept: Powers of 6 going down: $6^4,6^3,6^2,6^1$, so each term = previous ÷ 6.

1. $1296÷6=216$, $÷6=36$, $÷6=6$.
2. $6÷6=1$.
3. $1÷6=0.166\dots \approx 0.16$.

Trick: Spot $1296=6^4$; next terms are $6^0=1$ and $6^{-1}=\frac{1}{6}$.

Answer: (C) 1, 0.16

Concept: Sphere = $\frac{4}{3}\pi r^3$; cylinder = $\pi r^{2}h$ with $h=2r$.

1. Cylinder = $\pi r^2\times 2r=2\pi r^3$.
2. Ratio = $\frac{4}{3}\pi r^3:2\pi r^3=\frac{4}{3}:2$.
3. = 4 : 6 = 2 : 3.

Trick: Archimedes' result: a sphere fits exactly in its cylinder and takes $\frac{2}{3}$ of its volume.

Answer: (A) 2 : 3

Concept: A word common to two sentences takes the code common to both.

1. Sentences 1 & 2: moon common, la common ⇒ moon = la.
2. Sentences 2 & 3: sky common, sa common ⇒ sky = sa; so sun = pa.
3. Sentence 1 leftover: star = ra.

Trick: Elimination: in 'sun moon star = pa la ra', once sun and moon are fixed, the remaining code is star.

Answer: (A) ra

Concept: TABLE → ELBAT is just the word written backwards.

1. CHAIR letters: C H A I R.
2. Reverse: R I A H C ⇒ RIAHC.

Trick: Check the first and last letters only: code must start with R and end with C – only RIAHC fits fully.

Answer: (A) RIAHC