Select the set in which the numbers are related in the same way as the following sets:
(8,9,26), (5,7,19)

A. (11, 8, 27)
B. (10, 6, 31)
C. (9, 10, 27)
D. (13, 16, 45)

Solution
The pattern is:
Third Value = First Value + (Second Value x 2)
26 = 8 + (9 x 2)
19 = 5 + (7 x 2)
So it matches. Option A:
27 = 11 + (8 x 2)
27 = 11 + 16
27 = 27
✅ Answer: A. (11, 8, 27)

In cyclic quadrilateral ABCD, $∠A = 4x + 12^∘$ and $∠C = 2x + 48^∘$. What is the value of x?

A. 15
B. 18
C. 20
D. 24

Solution
In a cyclic quadrilateral, opposite angles are supplementary:$$\angle A + \angle C = 180^\circ$$So,$$(4x+12) + (2x+48) = 180$$$$6x + 60 = 180$$$$6x = 120$$$$x = 20$$✅ Answer: C. 20

A, B, C, D, E, F and G live on seven different floors of a building numbered 1 to 7 from bottom to top.
Only one person lives above C.
D lives immediately below C.
A lives above D but below G.
Only two people live below E.
F lives below B.
Who lives on floor number 3?

A. E
B. B
C. D
D. F

Solution
Let us place the floors.
Only one person lives above C, so C is on floor 6.
D lives immediately below C, so D is on floor 5.
A lives above D but below G, so A must be on floor 4 and G on floor 7.
Only two people live below E, so E is on floor 3.
That leaves B and F for floors 1 and 2. Since F lives below B, F is floor 1 and B is floor 2.
So floor 3 has E.
✅ Answer: A. E

Where is the National Academy of Indian Railways (formerly Railway Staff College) located?

A. Bhubaneswar
B. Perambur, Chennai
C. Vadodara (Baroda), Gujarat
D. Nashik

✅ Answer: C. Vadodara (Baroda), Gujarat

The LCM of two numbers is 1008 and their HCF is 24. If one of the numbers is 168, the other number is:

A. 132
B. 144
C. 156
D. 168

Solution
Use the identity:
LCM × HCF = product of the two numbers
So product of the numbers is:
1008 × 24 = 24192
If one number is 168, the other is:
24192/168 = 144
✅ Answer: B. 144

Which station is the headquarters of the East Coast Railway?

A. Bhubaneswar
B. Perambur, Chennai
C. Vadodara (Baroda), Gujarat
D. Nashik

✅ Answer: A. Bhubaneswar

Riya, Sia and Tara invest ₹900, ₹1200 and ₹1500 respectively in a business. If the annual profit is ₹1800, what is Tara’s share?

A. ₹700
B. ₹720
C. ₹750
D. ₹800

Solution
The investment ratio is:$$900:1200:1500 = 3:4:5$$
Total parts:$$3+4+5=12$$Tara’s share is:$$\frac{5}{12}\times 1800 = 750$$✅ Answer: C. ₹750

Which option follows the same operation pattern as the given sets?
6−11−22−32; 9−14−28−38

A. 8 – 13 – 26 – 36
B. 8 – 14 – 28 – 38
C. 9 – 14 – 28 – 42
D. 7 – 12 – 24 – 37

Solution
Look at the pattern in each set:$$6 \to 11 \to 22 \to 32$$$$9 \to 14 \to 28 \to 38$$
The operations are:
+5, then ×2, then +10
Check option A:$$8 \to 13 \to 26 \to 36$$That follows the same pattern exactly.
✅ Answer: A. 8 – 13 – 26 – 36

If a : b = 3 : 4 and b : c = 6 : 5, then the ratio a : c is ___.

A. 930
B. 465
C. 558
D. 372

Solution
Given:
a : b = 3 : 4 and b : c = 6 : 5
Make the middle term equal.
LCM of 4 and 6 is 12.
So:
a : b = 9 : 12
b : c = 12 : 10
Therefore:
a : c = 9 : 10
✅ Answer: A. 9:10

Where is the Integral Coach Factory (ICF) located?

A. Bhubaneswar
B. Perambur, Chennai
C. Vadodara (Baroda), Gujarat
D. Nashik

✅ Answer: B. Perambur, Chennai

In a certain code language, the code of a word is the sum of the alphabetical positions of its letters. What is the code for FARM?

A. 36
B. 38
C. 40
D. 42

Solution
FARM:
F = 6
A = 1
R = 18
M = 13
Add them:
6 + 1 + 18 + 13 = 38
✅ Answer: B. 38

Which of the following letter-clusters does not belong to the group?

A. QV-TX
B. ZE-CG
C. KP-NR
D. FI-JM

Solution
Look at the letter shifts:
QV → TX is +4, +3
ZE → CG is +4, +3
KP → NR is +4, +3
FI → JM is +4, +4
So the odd one out is FI-JM.
✅ Answer: D. FI-JM

Five numbers are given below:
135, 794, 342, 909, 567
If arranged in ascending order, how many numbers remain in the same position?

A. 0
B. 1
C. 2
D. 3

Solution
Arrange in ascending order:
135, 794, 342, 909, 567
Compare with the original order:
135, 342, 567, 794, 909
Only 135 remains in the same position.
So the number of unchanged positions is 1.
✅ Answer: B. 1

Who was appointed as India’s High Commissioner to Bangladesh in April 2026, marking a rare political appointment to a major diplomatic post?

A. S. Jaishankar
B. Dinesh Trivedi
C. Vikas Swarup
D. Ajit Agarkar

Dinesh Trivedi: Former Union Minister Dinesh Trivedi was appointed in April 2026, signaling a shift toward direct political engagement with Bangladesh.
✅ Answer: B. Dinesh Trivedi

Which Indian state topped the overall medal tally in the Khelo India Tribal Games concluded in April 2026?

A. Odisha
B. Jharkhand
C. Karnataka
D. Chhattisgarh

Karnataka: Karnataka emerged as the champion with 23 gold medals, followed by Odisha and Jharkhand.
✅ Answer: C. Karnataka

In April 2026, ISRO conducted “Mission MITRA” (a team behavioral study for the Gaganyaan programme) at which high-altitude location?

A. Leh
B. Tawang
C. Gulmarg
D. Spiti Valley

Leh: The high-altitude environment of Leh served as a natural analog for spaceflight to study team communication and stress resilience for Gaganyaan.
✅ Answer: A. Leh

If a : b :: b : c; c = 6a; and b = 8, find the positive value of c.

A. 8
B. 12
C. 18
D. 20

Ratio
Given:
a : b = b : c
c = 6a, b = 8
⇒ b² = ac
64 = a(6a)
64 = 6a²
$a^2 = \frac{64}{6} \\ a^2 = 9 \\ a = \sqrt{9}$
⇒ a = 3
c = 6a = 18
✅ Answer: C. 18

Who became the world’s first quadruple amputee (limbless) archery champion in April 2026?

A. Sheetal Devi
B. Payal Nag
C. Jyoti Baliyan
D. Harvinder Singh

Payal Nag: 18-year-old Payal Nag from Odisha won gold at the World Para Archery Series Final in Bangkok, defeating Sheetal Devi.
✅ Answer: B. Payal Nag

Two trains are moving in opposite directions at speeds of 130 km/h and 105 km/h. The length of one train is 390 m. If they cross each other in 9 seconds, the length of the other train is:

A. 65.27 m
B. 197.43 m
C. 235 m
D. 587.43 m

Trains
Speed = 130+105 = 235 km/h
The simple trick to convert to m/s is by multiplying it with 5/18.
→ 235 × 5/18 = 65.27 m/s
Distance = 65.27 × 9 = 587.43 m
Other train = 587.43 − 390 = 197.43 m
✅ Answer: A. 197.43

Sohan and Rohan can complete a piece of work alone in 9 days and 18 days respectively. They work on alternate days, with Sohan starting on Day 1. In how many days will the work be completed?

A. 12
B. 14
C. 18
D. 22

Work
Sohan = 1/9
Rohan = 1/18
2 days work: (1 cycle means 2 days)
1/9 + 1/18
$\frac{2 + 1}{18} \\ \frac{3}{18}$
= 1/6
6 cycles → 12 days = full work
🎯 FINAL ANSWER: A. 12​

Count the number of digits in the following series that are immediately preceded by a symbol and immediately followed by a letter.
A * 7 B # $ 3 C @ 5 1 D % 2 E & 9 F + G

A. 2
B. 3
C. 4
D. 5

Solution
Check the numbers that are immediately preceded by a symbol and immediately followed by a letter:
Series:
A * 7 B # $ 3 C @ 5 1 D % 2 E & 9 F + G

Qualifying digits are:
7 → preceded by * and followed by B
3 → preceded by $ and followed by C
2 → preceded by % and followed by E
9 → preceded by & and followed by F
So the count is 4.
✅ Answer: C. 4

What will come in place of the question mark if + and − are interchanged and × and ÷ are interchanged?
30 ÷ 5 + 6 × 2 − 4 = ?

A. 149
B. 151
C. 153
D. 155

Solution
Interchange:
+ and −
× and ÷

So,
30÷5+6×2−4
becomes
30×5−6÷2+4

Now evaluate:
30×5=150, 6÷2=3
150−3+4=151
✅ Answer: B. 151

A conical tent has a base radius of 9 metres and height of 21 metres. If cloth for the curved surface costs ₹38 per square metre, what is the total cost? (use = $\pi = 3.14$)

A. ₹26,000.8
B. ₹32,216.4
C. ₹36,482.6
D. ₹42,293.8

Cone Surface Area
l = √(9² + 21²) = 30
CSA = πrl = π×9×30 = 270π
≈ 847.8 m²
Cost = 847.8 × 38 = ₹32,216.4
✅ Answer: B. ₹32,216.4

What comes next in the series?
3, 7, 15, 31, 63, ?

A. 123
B. 125
C. 127
D. 129

Solution
Series:
3, 7, 15, 31, 63, ?

Differences:
4,8,16,32
The differences are doubling each time, so the next difference is:
64
Therefore:
63+64=127
✅ Answer: C. 127

AB is parallel to CD. A transversal intersects them. If one corresponding angle is $4x + 8^∘$ and the equal corresponding angle is $2x + 38^∘$, what is the measure of the angle?

A. $64^\circ$
B. $66^\circ$
C. $68^\circ$
D. $70^\circ$

Solution
Since AB is parallel to CD, corresponding angles are equal:$$4x+8 = 2x+38$$$$2x = 30$$$$x = 15$$Now the angle:$$4x+8 = 4(15)+8 = 68^\circ$$✅ Answer: C