P, Q, R, S, T, U and V sit around a circular table facing the centre. V sits to the immediate left of T. U sits to the immediate left of R. R sits second to the left of S. Q sits third to the left of T. Who sits 2nd to the right of S?

A. P
B. R
C. T
D. U

Circular Seating Arrangement
Given:
7 seats: P,Q,R,S,T,U,V
left of = anti-clockwise
right of = clockwise
Cicular means: 1,2,3,4,5,6,7,1,…

Let’s start.
1 = V
2 = T
3 = P
4 = U
5 = R
6 = Q
7 = S

– V left of T: So consider V as 1 and T as 2.

– U left of R: Unsure about it, so wait.
– R 2nd left of S: unsure so wait.

– Q 3rd left of T: T as 2. Left side means 6, 7, 1, 2. Q as 6.

– Go back to R and S: It is impossible to put R and S in any position besides 7 and 5, because of condition.

– U left of R, so U as 4.
– Only 3 left for P.

But in real exam the question asked 2nd right of S. So the moment we found S as 7, we can stop and fill the answer.
S (7), V (1), T (2).

✅ Answer: C. T

There are 72 members in group A, 12 members in group B and 87 members in group C. All the members of these groups went to a restaurant. The average amounts spent on each member of groups A, B and C are ₹404, ₹316 and ₹424, respectively. The overall average amount (in ₹) spent per member is:

A. 404
B. 412
C. 408
D. 409

Weighted Average
Formula:$$\text{Average} = \frac{\sum (n \times x)}{\sum n}$$
Total members:$$72 + 12 + 87 = 171$$Total amount:$$72×404 + 12×316 + 87×424 = 29088 + 3792 + 36888 = 69768$$$$\text{Average} = \frac{69768}{171} = 408$$
✅ Answer: C. 408
👉 Trick: Never average averages → use weighted average.
Shortcut:
Divide by 3 once: 72, 12, 87
We’ll get: 24, 4, 29
24 + 4 + 29 = 57

Divide by 4: 404, 316, 424
We’ll get: 101, 79, 106

Let’s multiply now:
24 × 101 + 4 × 79 + 29 × 106 = 5814
Average: 5814/57 = 102
Now remember, we only bring back the numerator value back, so we divided 404, 316, 424 by 4, right? Now, we will multiply it again by 4 to get the real option.
102 × 4 = 408.
Option C.

If 160% of 75% of A is equal to two times the value of 150% of B, then A is more/less than B by how much percentage?

A. 150%, less
B. 150%, more
C. 60%, less
D. 60%, more

Percentage Comparison
Given:
160% × 75% × A = 2 × (150% × B)
Convert:
1.6 × 0.75 × A = 2 × 1.5 × B
1.2A = 3B
⇒ A = 2.5B
So:
A is 150% more than B
✅ Answer: B. 150%, more
👉 Shortcut: Convert to decimal → compare ratio.

Which of the following will be the pressure of water at the base of a lake of height 20 metres? (g = 9.8m/s² and Density of water = 1 kg/litre)

A. 19,600 Pa
B. 196 Pa
C. 1,96,000 Pa
D. 1960 Pa

Pressure Formula
P = pgh
Given:
p = 1000 kg/m³
g = 9.8
h = 20

P = 1000 × 9.8 × 20
P = 196000 Pa
✅ Answer: C. 1,96,000 Pa
👉 Trick: Water density = 1000 always.

The Lilatilakam, a 14th-century treatise, played a significant role in establishing the classical status of which Indian language through its grammatical and poetic principles?

A. Tamil
B. Kannada
C. Malayalam
D. Odia

✅ Answer: C. Malayalam

The internal surface area (in cm² ) of an open (at the top) cuboidal box whose internal length, breadth and height are 8 cm, 17 cm and 22 cm, respectively, is:

A. 1236
B. 1215
C. 1189
D. 1238

Surface Area (Open Box)
Formula:
= 2(lb + bh + hl) − lb
= 2(8 × 17 + 17 × 22 + 22 × 8) − 8 × 17
= 2(136 + 374 + 176) − 136
= 2(686) − 136
= 1372 − 136
= 1236
✅ Answer: A. 1236
Trick: Shorten the formula: lb + 2(bh + hl)
8 × 17 + 2(17 × 22 + 22 × 8)
136 + 2(374 + 176)
136 + 1100
1236

In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Q. Five students – Alok, Bharti, Celine, Darpan, and Ema – obtained different marks in an examination. Who scored the third highest marks?
(I) Darpan scored more than Alok and Bharti but less than Celine.
(II) Ema scored more than Darpan but less than Celine.

A. Data in Statement I alone is sufficient to answer the question while data in Statement II is not
B. Data in Statement II alone is sufficient to answer the question while data in Statement I is not
C. Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
D. Both statements I and II together are NOT sufficient to answer the question

This is a Data Sufficiency + Ranking question. The goal is NOT to find all ranks — only check if we can fix who is 3rd highest.

🔴 Given
Five students: Alok (A), Bharti (B), Celine (C), Darpan (D), Ema (E)
All have different marks.

🧠 Statement (I)
“Darpan scored more than Alok and Bharti but less than Celine”
This gives:
C > D > A,B
👉 But A and B order is unknown
👉 Ema is completely unknown
So possible rankings can change → 3rd position not fixed
❌ Statement (I) alone is NOT sufficient

🧠 Statement (II)
“Ema scored more than Darpan but less than Celine”
This gives:
C > E > D
👉 But A and B are unknown
Again, 3rd place can vary
❌ Statement (II) alone is NOT sufficient

🔥 Combine (I) + (II)
From (I): C > D > A,B
From (II): C > E > D

🧠 Merge both: C > E > D > A,B

Now observe carefully:
A & B = 4th/5th (order doesn’t matter)
C = 1st
E = 2nd
D = 3rd
✅ Answer: D. Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question

Who played the most significant military role in leading Nana Sahib’s forces during the Revolt of 1857 at Kanpur?

A. Azimullah, who was an expert in political propaganda
B. Bahadur Shah, who appointed Nana Sahib as his Governor
C. Baji Rao II, the last Peshwa and father of Nana Sahib
D. Tantia Tope, known for his guerrilla warfare and patriotic resistance

✅ Answer: D. Tantia Tope, known for his guerrilla warfare and patriotic resistance

Who jointly led the first ever no-tax campaign against the British Government in Bengal during the 1838-1848 Farazi Movement?

A. Shariatullah Khan and Dadu Mian
B. Sidhu Murmu and Kanhu Murmu
C. Titu Mir and Syed Ahmad Barelvi
D. Kunwar Singh and Amar Singh

✅ Answer: A. Shariatullah Khan and Dadu Mian

Mr. ABCD wants to become a member of the Legislative Assembly. What is the minimum age prescribed in the Constitution of India so that he becomes a member of the Legislative Assembly?

A. 21 years
B. No Minimum age is prescribed in the Constitution
C. 35 years
D. 25 years

✅ Answer: D. 25 years

Three positive integers, A, B, and C, are such that the least common multiple of A and B is 24, the least common multiple of B and C is 36, and the least common multiple of C and A is 72. If the numbers are taken to be as small as possible, the value of A + B + C is:

A. 25
B. 27
C. 29
D. 31

LCM Problem
Given:
LCM(A,B) = 24
LCM(B,C) = 36
LCM(C,A) = 72
Break given LCMs
$LCM(A,\ B) = 2^3 \times 3 \\ \\ LCM(B,\ C) = 2^2 \times 3^2 \\ \\ LCM(C,\ A) = 2^3 \times 3^2$
👉 So only primes involved are 2 and 3

Think in simple words (NO VARIABLES)
We need to separate A, B, C using 2s and 3s out of the grouped (A, B), (B, C), and (C, A):
For A look (A, B) & (C, A) → 2³ came in both (A, B) and (C, A) which confirms it’s A. Only 3 left behind for B.
$A = 2^3 = 8$
For C look (B, C) & (C, A) → 3² came in both (B, C) and (C, A) which confirms it’s C. Only 2³ left behind for B.
$C = 3^2 = 9$
For B look (A, B) & (B, C) → Two values left for B: 2² and 3.
$B = 2^2 \times 3 = 12$

Minimum values:
A=8, B=12, C=9
A + B + C = 29
✅ Answer: C. 29
👉 Trick: Use prime factors.

Find the median from the following data.

A. 60
B. 55
C. 58
D. 69

Median
Total = 138 → N/2 = 69
Median class: 50-60 = 15
l = 50
cf = 57 (Total frequency of prior 50-60: 11 + 18 + 28 = 57)
f = 15
h (60-50) = 10
Formula:$$\text{Median} = l + \frac{(N/2 – cf)}{f} × h$$
$50 + \frac{69 – 57}{15} \times 10 \\ 50 + \frac{12 \times 10}{15} \\ 50 + \frac{120}{15} \\ 50 + 8$
✅ Answer: C. 58

According to the March 1997 agreement between the RBI and the Central Government, which practice was discontinued with effect from April 1, 1997?

A. Practice of issuing ad hoc Treasury Bills
B. Automatic monetisation of fiscal deficit
C. Market borrowing through dated securities
D. Issuance of 91-day Treasury Bills

✅ Answer: A. Practice of issuing ad hoc Treasury Bills

Six years hence, a father’s age will be 3 times the age of his son. Six years ago, the father was 7 times as old as his son. Find the present ages (in years) of the father and son.

A. 50 and 14
B. 46 and 10
C. 52 and 16
D. 48 and 12

Let the present age of the son be $x$ and the father be $y$.
Six years hence means after 6 years, so ages become $x+6$ and $y+6$, and we are told the father will be 3 times the son, so $y+6 = 3(x+6)$. Six years ago means ages were $x-6$ and $y-6$, and the father was 7 times the son, so $y-6 = 7(x-6)$.
Now simplify both: from the first, $y+6 = 3x + 18 \Rightarrow y = 3x + 12$. From the second, $y-6 = 7x – 42 \Rightarrow y = 7x – 36$. Since both equal $y$, set them equal: $3x + 12 = 7x – 36$. Solving gives $48 = 4x \Rightarrow x = 12$. Substitute back: $y = 3(12) + 12 = 48$.
So the present ages are: father = 48 years, son = 12 years.
✅ Answer: D. 48 and 12

According to the 2025 Financial Tracking Services report by the United Nations Office for the Coordination of Humanitarian Affairs, which two contributors ranked higher than UAE in global humanitarian aid?

A. China and Japan
B. India and United Kingdom
C. United States and European Union
D. Morocco and Denmark

✅ Answer: C. United States and European Union

If 30% of $80 – \frac{4}{7} \times \sqrt[3]{729} \times \sqrt{49} = y$, then the value of y is:

A. -7
B. -3
C. -12
D. -8

Simplify
30% × 80 = 24 $$\sqrt[3]{729} = 9,\quad \sqrt{49}=7$$$$\frac{4}{7} × 9 × 7 = 36$$y = 24 − 36
y = −12
✅ Answer: C. -12

Which ISRO centre will host the newly approved Third Launch Pad by Union cabinet in December 2025?

A. Satish Dhawan Space Centre
B. Vikram Sarabhai Space Centre
C. Space Applications Centre
D. National Remote Sensing Centre

✅ Answer: A. Satish Dhawan Space Centre

Based on the alphabetical order, three of the following four 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. OTP
B. INK
C. KPL
D. MRN

Pattern:
Option A: OTP
O + 5 = T
T – 4 = P

Option B: INK
I + 5 = N
N – 3 = K

Option C: KPL
K + 5 = P
P – 4 = L

Option D: MRN
M + 5 = R
R – 4 = N

Only Option B is different.
✅ Answer: B. INK

Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?
# : MWE :: KUC : %

A. # = BLT % = VFN
B. # = BLT % = VCN
C. # = KLT % = VFN
D. # = BLT % = VFM

Pattern:
MWE
M + 10 = W
W + 8 = E

KUC
K + 10 = U
U + 8 = C
So Option A makes more sense.
B L(+10) T (+8)
V F (+10) C (+8)
✅ Answer: A. # = BLT % = VFN

A typist takes 40 minutes to type 2 pages. How long (in minutes) will he take to type 91 pages?

A. 1825
B. 1810
C. 1820
D. 1830

Time Work
2 pages = 40 min
1 page = 40/2 = 20 min
91 pages = 91 x 20 = 1820 min
✅ Answer: C. 1820

Which Himalayan region has greater altitudinal variations?

A. Northern Himalayan region
B. Western Himalayan region
C. Eastern Himalayan region
D. Southern Himalayan region

✅ Answer: C. Eastern Himalayan region

If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will come in place of the question mark (?) in the following equation?
9 B 4 C 6 D 45 A 5 = ?

A. 34
B. 32
C. 31
D. 33

Operator Coding
BODMAS: Must follow Step-by-step “Bracket Open Divide Multiply Addition Subtract”
9 × 4 + 6 − 45 ÷ 5
= 36 + 6 − 9
= 33
✅ Answer: D. 33

Which of the following states ranks number one in the production of natural rubber in India in 2023-24?

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

✅ Answer: B. Kerala

18 is related to 59 following a certain logic. Following the same logic, 27 is related to 86. To which of the following is 37 related, following the same logic?
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

A. 101
B. 132
C. 123
D. 116

Number Logic
18 → 59
(×3 +5)
27 → 86 ✔
37 → 37 × 3 + 5 = 116
✅ Answer: D. 116

Refer to the following letter, number, symbol series and answer the question.
(Left) 5 5 © J W 1 L £ D Z 6 6 C 2 # R 2 C 6 % Y 6 (Right)
If all the numbers are dropped from the series, which of the following will be fifth from the left?

A. L
B. D
C. £
D. W

Series
Remove numbers:
© J W L £ D Z C # R C % Y
5th from left = £
✅ Answer: C. £