Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group?
(Note: The odd man out is not based on the number of consonants/vowels or their position in the letter-cluster.)

A. RV−WA
B. PT−UY
C. GK−LP
D. EI−IP

Odd Letter Pair
Pattern check (use alphabet positions)
R(18) → V(22) = +4
V(22) → W(23) = +1

Now check others:
PT–UY → P(16)→T(20)=+4, T→U=+1 ✔
GK–LP → G(7)→K(11)=+4, K→L=+1 ✔
EI–IP → E→I=+4, I→P=+7 ❌ (breaks pattern)

✅ Answer: D. EI−IP
👉 Trick: Look for consistent +4, +1 shift pattern.

In the figure given, parallel lines, AB and CD, are intercepted by a transversal t at E and F, respectively. If EG is the angle bisector of ∠AEF, find ∠EGF.

A. $35^o$
B. $85^o$
C. $60^o$
D. $40^o$

Read the figure correctly:
AB ∥ CD
Transversal cuts at E and F
At F on line CD, two angles are clearly marked: 25° (between GF and CD) and 70° (between transversal and CD)
👉 These two are on a straight line, so the third angle between GF and the transversal is:
180° − (25° + 70°) = 85°
So inside triangle:
∠GFE = 85°

Now go to E:
The transversal makes 70° with CD, so by corresponding angles, it also makes 70° with AB
But ∠AEF is between AE (left horizontal) and EF (downward transversal), so:
∠AEF = 180° − 70° = 110°

Now EG bisects this: So we half 110.
∠GEF = 55°

Now triangle EGF:
∠GFE = 85°, ∠GEF = 55°
So:
∠EGF = 180° − (85° + 55°) = 40°
✅ Answer: D. 40°
👉 Trick: In such figures, angle bisector + parallel lines often gives right angle.

In which of the following states is the Baishagu festival celebrated by the Boro Kacharis in the month of April?

A. Odisha
B. Karnataka
C. Bihar
D. Assam

✅ Answer: D. Assam

Which organization was the implementing agency for the National Agricultural Insurance Scheme (NAIS) launched in 1999?

A. Agriculture Insurance Company of India Ltd. (AIC)
B. Food Corporation of India (FCI)
C. Indian Council of Agricultural Research (ICAR)
D. National Bank for Agriculture and Rural Development (NABARD)

✅ Answer: A. Agriculture Insurance Company of India Ltd. (AIC)

Simplify $5\frac{1}{6} \div 6.2 \times 0.75 \div (\frac{1}{5} \times 40)$

A. 2/17
B. 5/64
C. 7/33
D. 9/19

Simplify Expression$$5\frac{1}{6} \div 6.2 \times 0.75 \div \left(\frac{1}{5} \times 40\right)$$
Convert:$$\frac{31}{6} \div \frac{31}{5} \times \frac{3}{4} \div 8$$
Cancel:$$= \frac{31}{6} \times \frac{5}{31} \times \frac{3}{4} \times \frac{1}{8}$$$$= \frac{5 \times 3}{6 \times 4 \times 8} = \frac{15}{192} = \frac{5}{64}$$
✅ Answer: B. 5/64
👉 Trick: Convert decimals → fractions → cancel immediately.

If $a$ is a positive integer such that the equations $(a^2 – 7a)x^2 + x + 12 = 0$ and $240x^2 + 8x + (a^2 – 4) = 0$ both have roots common, then the value of $\frac{(a + 2)(a + 3)}{a – 4}$ is:

A. 18
B. 26
C. 30
D. 42

Common Roots
For common roots:$$\frac{a^2 – 7a}{240} = \frac{1}{8} = \frac{12}{a^2 – 4}$$
Solve:$$a^2 – 7a = 30 \Rightarrow a = 10$$
Now:$$\frac{(a+2)(a+3)}{a-4} = \frac{12 \times 13}{6} = 26$$
✅ Answer: B. 26
👉 Trick: Equal ratios for coefficients → fastest method.

During a sale 50% of the goods are sold at 16% profit, 40% of the remaining goods are sold at 35% profit and the still remaining goods are sold at a loss of 25%. If there is an overall profit of x%, then what is the value of x?

A. 7.5
B. 8
C. 6
D. 9

Overall Profit
Assume total CP = 100
50 → profit 16% → 58
20 → profit 35% → 27
30 → loss 25% → 22.5

Total SP = 107.5
Profit = 7.5%
✅ Answer: A. 7.5%
👉 Trick: Assume 100 → easiest.

The F2 generation of a monohybrid cross typically shows which phenotypic ratio?

A. 2:1
B. 3:1
C. 1:2:1
D. 1:1

Monohybrid Cross
✅ Answer: B. 3:1
👉 Classic Mendel ratio.

Which computer application is mainly used for booking railway tickets and flight reservations?

A. Collection System
B. Reservation System
C. NTPC System
D. Ticketing Counter

✅ Answer: B. Reservation System

Under which Article does the Supreme Court have the power of judicial review?

A. Article 30
B. Article 72
C. Article 32
D. Article 124

✅ Answer: C. Article 32

Which court is considered the highest judicial authority in a district?

A. Family Court
B. District Court
C. Munsif Court
D. High Court

✅ Answer: B. District Court

A shopkeeper fixes the marked price of an item 180% above its cost price. What percentage of discount on marked price should be allowed to gain 12%?

A. 60%
B. 58%
C. 57%
D. 62%

Discount Problem
MP = Market Price
CP = Cost Price
SP = Selling Price
Let cost price = 100.
Marked price is 180% above cost: 100 + 180% = 280
MP = 280, CP = 100
SP needed = 112 (100 + 12%)
Discount = $\frac{280 – 112}{280} \times 100 = 60$
✅ Answer: A. 60%
👉 Trick: Assume CP=100.

DIME is related to HNIZ in a certain way based on the English alphabetical order. In the same way, LSEU is related to PXAP. To which of the following is TCWK related, following the same logic?

A. YGTE
B. WIRG
C. VHSD
D. XHSF

The Pattern: +4, +5, -4, -5.
DIME —> HNIZ
D + 4 = H
I + 5 = N
M – 4 = I
E – 5 = Z

LSEU —> PXAP
L + 4 = P
S + 5 = X
E – 4 = A
U – 5 = P

Same logic applies on this: TCWK
T + 4 = X
C + 5 = H
W – 4 = S
K – 5 = F

✅ Answer: D. XHSF

The state of matter where particles are far apart and move randomly and quickly is the:

A. Liquid state
B. Gaseous state
C. Plasma state
D. Solid state

✅ Answer: B. Gaseous state

Cheriyal scroll painting belongs to which State of India?

A. Karnataka
B. Andhra Pradesh
C. Tamil Nadu
D. Telangana

✅ Answer: D. Telangana

A shopkeeper purchased 62 dozens of articles at the rate of ₹100 per dozen. He sold each one of them at the rate of ₹75. What percentage profit did he make?

A. 800%
B. 801%
C. 797%
D. 798%

Profit %
CP = 62×100 = 6200
SP = 62×12×75 = 55800
Profit = 49600
Profit % = 800%
✅ Answer: A. 800%
👉 Trick: Multiply dozens carefully.

A student wants to locate a word inside a PDF. Which shortcut helps?

A. Ctrl + C
B. Ctrl + F
C. Ctrl + Tab
D. Ctrl + V

✅ Answer: B. Ctrl + F

Before each general election to the House of the People or to a State Legislative Assembly, the President may appoint Regional Commissioners after:

A. consultation with the Speaker of the Lok Sabha
B. consultation with the Chief Justice of India
C. consultation with the Election Commission
D. consultation with the Prime Minister

✅ Answer: C. consultation with the Election Commission

Each of T, U, V, W, X, Y and Z has an engagement on a different day of a week starting from Monday and ending on Sunday of the same week. V has engagement on the third day of the week. Only one person has engagement after Y. Only three people have engagement between V and X. Only one person has engagement between W and Z. T has engagement immediately after Z. How many people have engagement between U and T?

A. One
B. Three
C. Four
D. Two

Seating Arrangement
Positions: There is no cycle or loop here. Be aware!
Mon(1) to Sun(7)
1 = U
2 = W
3 = V
4 = Z
5 = T
6 = Y
7 = X

– V on 3rd day: 3

– one person after Y: wait for it

– three between V and X: Since V is 3rd and three between then X must be 7th.

– one person between W and Z: wait for it because we don’t know whether W is on 2nd or 4th position.

– T after Z: This clears many things. T after Z makes it clear that W is 2nd, because if it is 4th then after Z there will be 7th position X.
W is 2nd, Z is 4th and T is 5th.

There is one condition still ;eft and most confusing. Only 1 person after Y. We still don’t know U and Y position yet.
A poorly made question, I can say. But there is a catch, in options there is no option like: None.
That means U cannot be in 6th postion.
Impossible: T (4th) —> U (5th)
But it must be in position 1st and Y in position 6th.

Between U(1) and T(5): 3 people
✅ Answer: D. Three

Find the average of 312, 126, 100 and 99.

A. 157.25
B. 159.25
C. 156.25
D. 158.25

Average$$\frac{312+126+100+99}{4} = \frac{637}{4} = 159.25$$
✅ Answer: B. 159.25

In December 2025, India and Russia signed the RELOS agreement. What is the primary purpose of this agreement?

A. To promote civilian technology sharing between India and Russia
B. To establish joint agricultural research centers
C. To enhance educational exchange programs between India and Russia
D. To facilitate reciprocal military logistics support between India and Russia

✅ Answer: D. To facilitate reciprocal military logistics support between India and Russia

Which of the following scientists gave the concept of atomic mass?

A. Ernest Rutherford
B. John Dalton
C. J.J. Thomson
D. Niels Bohr

✅ Answer: B. John Dalton

Logan starts from Point A and drives 18 km towards west. He then takes a left turn, drives 15 km, turns right and drives 12 km. He then takes a right turn and drives 15 km. He takes a final right turn, drives 5 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again?
(All turns are 90-degree turns only, unless specified.)

A. 18 km towards south
B. 15 km towards west
C. 25 km towards east
D. 5 km towards north

🧭 Step-by-step movement (build the path in your head)
Start at Point A
18 km West → now you are left of A
Left turn from West = South, go 15 km
Right turn from South = West, go 12 km
Right turn from West = North, go 15 km
Right turn from North = East, go 5 km → reach Point P

🧠 Now track net movement (KEY STEP)
Horizontal (East-West):
West: $18 + 12 = 30$
East: $5$
👉 Net = $30 – 5 = 25$ km West

Vertical (North-South):
South: 15
North: 15
👉 Net = 0 (cancel out)

📍 Final Position
👉 Point P is 25 km West of A

🔁 To return to A
You must go:
👉 25 km East
✅ Answer: C. 25 km towards east

Which of the given letter-number clusters will replace the question mark (?) in the following series to make it logically complete?
CLW 31 LUF 33 UDO 35 DMX 37 ?

A. NUR 39
B. MVG 39
C. LST 39
D. XSH 38

Series
Pattern:
+9 letters, +2 numbers
Next: MVG 39
✅ Answer: B. MVG 39

Who composed the ‘Prayag Prashasti’ (Allahabad Pillar Inscription), detailing the conquests of Samudragupta?

A. Vishakhadatta
B. Banabhatta
C. Harisena
D. Kalidasa

✅ Answer: C. Harisena