1
An entrepreneurship summit in Mumbai was held on 10th January. Delhi hosted it five days later. When was the Delhi event?
- A.4th January
- B.15th January
- C.10th January
- D.20th January
Solution
Date reasoning
The Mumbai summit was on 10 January.
Delhi hosted it five days later.
10 + 5.
= 15 January — option (b).
The Mumbai summit was on 10 January.
Delhi hosted it five days later.
10 + 5.
= 15 January — option (b).
Rule: multiply the two numbers and double the product, i.e. a² × 2.
Check: 3² × 2 = 18 ✓ and 4² × 2 = 32 ✓.
5² × 2 = 25 × 2.
= 50 — option (b).
Substitute P = 8 and Q = 6 in the given rule.
8 × 6 = 48.
48 − 8.
= 40 — option (a).
As it stands, 5 × 3 ÷ 3 = 5, so the left side is 20 + 5 − 1 = 24 ✗.
Swap ÷ and +: the equation becomes 20 ÷ 5 × 3 + 3 − 1.
BODMAS: 20 ÷ 5 = 4, then 4 × 3 = 12.
12 + 3 − 1 = 14 ✓ — option (a).
In 8765, 7654 and 6543 the digits fall by one each time.
In 3456 the digits RISE by one each time.
So its pattern runs the other way.
Hence option (d).
Lucknow, Jaipur and Bhopal are the capitals of Uttar Pradesh, Rajasthan and Madhya Pradesh.
Pune is not a capital — Mumbai is the capital of Maharashtra.
So it stands apart from the rest.
Hence option (c).
Apply the rule digit by digit: 4→5, 7→6, 2→3, 9→8, 2→3, 5→4, 3→2, 6→7, 8→9, 4→5.
The new digits are 5, 6, 3, 8, 3, 4, 2, 7, 9, 5.
In descending order: 9, 8, 7, 6, 5, 5, 4, 3, 3, 2 — the last five from the right are 5, 4, 3, 3, 2.
5 + 4 + 3 + 3 + 2 = 17 — option (a).
In each pair the second letter is two places after the first.
K(11) → M(13), N(14) → P(16), D(4) → F(6) ✓.
Among the options only GI keeps that gap: G(7) → I(9).
Hence GI — option (b).
Rule: cube the number and subtract the number itself.
Check: 4³ − 4 = 64 − 4 = 60 ✓.
5³ − 5 = 125 − 5.
= 120 — option (b).
R is on floor 1 and T is on an even floor. U is 1 floor away from T but not on floor 2, so T = 2 and U = 4.
With 2 floors between T and Q, Q sits on floor 5.
S must be on an even floor, and 2 and 4 are taken, so S = 6; then P takes floor 3, leaving 2 people between P and S ✓.
Q is on 5, so 2 floors below is floor 3 — P, option (a).
All cherries lie inside the mango group, and no mango is red.
So no cherry can be red — I follows.
"All cherries are mangoes" converts into "some mangoes are cherries" — II follows.
Both follow — option (c).
Books lie inside notebooks, but the notebooks that are NOT diaries need not be the books.
So nothing fixes books against rulers — books could all be rulers, and I is not certain ✗.
"No diary is a ruler" keeps diaries and rulers apart; it never makes rulers a part of diaries — II is false ✗.
Neither follows — option (d).
The Nile, the Amazon and the Ganga are all RIVERS.
Everest is a mountain peak.
So it belongs to a different category.
Hence option (d).
Positions: A(1), C(3), F(6), J(10), O(15) — the gaps are +2, +3, +4, +5.
So the next gap is +6.
15 + 6 = 21.
The 21st letter is U — option (d).
Each term is half the previous one.
200 ÷ 2 = 100 and 100 ÷ 2 = 50 ✓.
50 ÷ 2.
= 25 — option (b).
Every letter moves one place back: G−1 = F, L−1 = K, A−1 = Z (cyclic), S−1 = R, S−1 = R ✓.
Apply to CLEAN: C−1 = B, L−1 = K, E−1 = D.
A−1 = Z, N−1 = M.
Hence BKDZM — option (a).
The differences are 3, 4, 5, 6, 7 — each one more than the last.
So the next difference is 8.
29 + 8.
= 37 — option (a).
Test each option against all three divisors.
236 ÷ 3 = 78 R2 ✓, 236 ÷ 7 = 33 R5 ✓, 236 ÷ 11 = 21 R5 ✓.
323 ÷ 7 leaves 1, 233 ÷ 7 leaves 2 and 243 ÷ 3 leaves 0 — all fail.
Only 236 gives 2, 5, 5 — option (a).
81 = 9² and 729 = 9³, so the square of a number is paired with its cube.
49 = 7².
So the answer is 7³.
= 343 — option (c).
Let the daughter be x years, so the father is 5x.
After 30 years: 5x + 30 = 2(x + 30).
5x + 30 = 2x + 60 ⇒ 3x = 30.
x = 10 years — option (a).
Compare APPLE with BOQMG: A+1 = B, P−1 = O, P+1 = Q, L+1 = M, E+2 = G.
So the shifts by position are +1, −1, +1, +1, +2.
Apply to MANGO: M+1 = N, A−1 = Z (cyclic), N+1 = O, G+1 = H, O+2 = Q.
Hence NZOHQ — option (a).