Select the set in which the numbers are related in the same way as the following sets:
(8,9,28), (5,7,20)

A. (11, 8, 33)
B. (12, 6, 31)
C. (10, 5, 26)
D. (9, 4, 24)

Given:
Solution
For the given sets:$$(8, 9, 28),\ (5, 7, 20)$$Check the pattern:$$2 \times 8 + 9 + 3 = 28$$$$2 \times 5 + 7 + 3 = 20$$So the rule is:$$\text{third number} = 2 \times \text{first} + \text{second} + 3$$
Now test the options:
A: $2 \times 11 + 8 + 3 = 33$ ✓
B: $2 \times 12 + 6 + 3 = 33$ ✗
C: $2 \times 10 + 5 + 3 = 28$ ✗
D: $2 \times 9 + 4 + 3 = 25$ ✗
✅ Answer: A. (11, 8, 33)

Where did the first passenger train run in India?

A. between Byculla and Thane
B. between Bori Bunder and Thane
C. between Howrah Junction and Royapuram Railway Station
D. between Byculla and Bori Bunder

✅ Answer: B. between Bori Bunder and Thane

Six people A, B, C, D, E and F live on six different floors of a building numbered 1 to 6 from bottom to top.
Only one person lives below C.
B lives immediately above C.
A lives above B but below E.
F lives below D.
Who lives on floor number 5?

A. A
B. B
C. C
D. D

Solution
Let’s place the floors carefully.
Only one person lives below C, so C is on floor 2.
B lives immediately above C, so B is on floor 3.
A lives above B but below E. That means A must be on floor 4 and E on floor 6.
F lives below D, so the remaining floors 1 and 5 go to F and D respectively.
So the arrangement is:
1. F
2. C
3. B
4. A
5. D
6. E
Therefore, the person on floor 5 is D.
✅ Answer: D. D

Which shortcut is used to transfer all the content in the folder to another folder?

A. Ctrl+P
B. Ctrl+S
C. Ctrl+X
D. Ctrl+A

✅ Answer: C. Ctrl+X

In this question, a question is followed by two statements numbered (I) and (II). Decide whether the data are sufficient to answer the question.
Four friends A, B, C and D are of different ages. Who is the second oldest?
(I) B is older than C but younger than A.
(II) D is older than B but younger than A.

A. Data in Statement I alone is sufficient, but Statement II alone is not
B. Data in Statement II alone is sufficient, but Statement I alone is not
C. Both statements together are sufficient, but neither alone is sufficient
D. Both statements together are not sufficient

Solution
Statement I:
B > C
A > B
So A > B > C, but D is not placed. Not sufficient.

Statement II:
D > B
A > D
So A > D > B, but C is not placed. Not sufficient.

Together:
From I: A > B > C
From II: A > D > B
Combine them:$$A > D > B > C$$
So the second oldest is D. Together the statements are sufficient, but neither alone is sufficient.
👉 Answer C: Both statements together are sufficient, but neither alone is sufficient

National Waterway 57 (NW-57) is developed on which river?

A. June 18, 1848
B. March 22, 1896
C. April 16, 1853
D. August 18, 1901

✅ Answer: C. April 16, 1853

In a certain code language:
A + B means A is the son of B
A – B means A is the mother of B
A × B means A is the daughter of B
A ÷ B means A is the father of B
How is S related to B if B ÷ T + S?

A. Mother-in-law
B. Sister
C. Daughter
D. Wife

Solution
Given:
B ÷ T means B is the father of T.
T + S means T is the son of S.
That makes B the wife of B.
✅ Answer: D. Wife

What is the name of the first electric train in India?

A. Lord Dalhousie
B. Kathiawar
C. GIPR No. 1
D. Deccan Queen

The correct answer is D: Deccan Queen

If a number is increased by 20% and becomes equal to another number, which is 25% less than a third number, then the ratio of the first number to the third number is:

A. 5:8
B. 8:5
C. 16:25
D. 25:16

Solution
Let the first number be $x$.
After a 20% increase, it becomes $1.2x$.
This is equal to a number that is 25% less than a third number $z$, so:$$1.2x = 0.75z$$$$\frac{x}{z} = \frac{0.75}{1.2} = \frac{75}{120} = \frac{5}{8}$$
So the ratio of the first number to the third number is 5:8.
✅ Answer: A. 5:8

Which is the highest railway station in India?

A. Hubli Railway Station
B. Ghum Railway Station
C. Gorakhpur Railway Station
D. Siddharoodha Swamiji Hubballi Junction

✅ Answer: B. Ghum Railway Station

A right triangle with sides 3 cm, 4 cm and 5 cm is revolved about the side 4 cm. Find the volume of the solid formed. Use $\pi = \frac{22}{7}$.

A. 35.71 cm³
B. 36.71 cm³
C. 37.71 cm³
D. 38.71 cm³

Solution
A 3-4-5 triangle is a right triangle. Revolving it about the side 4 cm forms a cone with:
radius = 3 cm
height = 4 cm
Volume of cone:
$V = \frac13​πr^2h \\ V = \frac{1}{3} \times \frac{22}{7} r^2h \\ V = \frac{1}{3} \times \frac{22}{7} \times 3^2 \times 4 \\ V = \frac{22}{7} \times 3 \times 4 \\ V = \frac{22}{7} \times 12 \\ V = \frac{264}{7}$
V = 37.71 cm³ (approx.)
✅ Answer: C. 37.71 cm³

A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use $\pi = 3.14$)

A. Bholu, the Guard Ox
B. Bholu, the Guard Elephant
C. Garud, the Flying Eagle
D. Garud, the Flying Kite

✅ Answer: B. Bholu, the Guard Elephant

What should come in place of the question mark?
14, 17, 22, 29, 38, ?

A. 47
B. 49
C. 50
D. 51

Solution
Look at the differences:
17 − 14 = 3,
22 − 17 = 5,
29 − 22 = 7,
38 − 29 = 9
The differences are increasing by 2 each time. So the next difference is:
11
38 + 11 = 49
✅ Answer: B. 49

In which year was the Railway Budget merged with the Union Budget?

A. 2010
B. 2014
C. 2017
D. 2020

2017: Ending a 92-year-old tradition
✅ Answer: C. 2017

If $x^2 − 6x + 9 = 0$ and $x^2 − 4x + t = 0$ have one common root, then the value of $t$ is:

A. 1
B. 2
C. 3
D. 4

Solution
The first equation is:
x² − 6x + 9 = 0
This is: (x−3)² = 0
So its equal root is 3.
Since the second equation shares one common root, that root must also be 3.
Substitute x = 3 into the second equation:
3² − 4(3) + t = 0
9 − 12 + t = 0
t = 3
✅ Answer: C. 3

Who was the first Railway Minister of Independent India?

A. Ram Krishna Gopal
B. John Mathai
C. Jay Mithai
D. Krishna Gopal Ram

✅ Answer: B. John Mathai

What is the name of the indigenously developed anti-collision system in Railway?

A. Kavach
B. Breaker
C. Guard 2.0
D. Surakhsha (ACD)

👉 Answer A: Kavach

A shopkeeper pretends to sell goods at a 40% loss, but by using a false balance he actually gains 75%. The actual weight used for 1 kg is approximately:

A. 328.6 g
B. 342.9 g
C. 350.0 g
D. 360.0 g

Solution
Let the cost price of 1 kg be $C$.
He claims a 40% loss, so he charges only 60% of the cost price:$$SP = 0.6C$$
But he actually gains 75%, which means:$$SP = 1.75 \times \text{actual cost of goods given}$$
If the actual weight given is $w$ kg, then cost to him is $wC$. So:$$0.6C = 1.75wC$$$$w = \frac{0.6}{1.75} = \frac{12}{35} \text{ kg}$$$$\frac{12}{35}\times 1000 = 342.857\text{ g}$$
Rounded: 342.9 g
✅ Answer: B. 342.9 g

In a certain code language:
A – B means A is the mother of B
A + B means A is the wife of B
A × B means A is the sister of B
A ÷ B means A is the father of B
How is G related to P if G – R + P?

A. Mother-in-law
B. Sister
C. Daughter
D. Aunt

Solution
Given:
G−R means G is the mother of R.
R+P means R is the wife of P.
So G is the mother of R, and R is the wife of P. Therefore, G is the mother-in-law of P.
✅ Answer: A. Mother-in-law

How many letters are there in the following series, each of which is immediately preceded by a symbol and immediately followed by a symbol?
A * B # C $ D @ E % F & G

A. 3
B. 4
C. 5
D. 6

Solution
We need letters that are immediately preceded and immediately followed by symbols.
Series:$$A * B \# C \$ D @ E \% F \& G$$
Check each letter:
B is between * and # → yes
C is between # and $ → yes
D is between $ and @ → yes
E is between @ and % → yes
F is between % and & → yes
So there are 5 such letters.
🎯 FINAL ANSWER: C. 5

If 15% of $160 − \frac{1}{2} × \sqrt[3]{64} × \sqrt{16} = y$, then the value of y is:

A. 12
B. 14
C. 16
D. 18

Solution
15% of 160=24
$\sqrt[3]{64} = 4,\ \ \sqrt{16} = 4$
Then:
$\frac{1}{2} \times 2 \times 2 = 8$
So:
y = 24 − 8 = 16
✅ Answer: C. 16

Which letter-number cluster completes the series?
BDF 7, EGI 10, HJL Which letter-number cluster completes the series?
BDF 7, EGI 10, HJL 13, KMO 16, ?13, KMO 16, ?

A. NPR 19
B. NPS 19
C. OPR 20
D. NPR 18

Solution
Look at the pattern:
BDF → letters increase by 2 each step, number 7
EGI → +3 from BDF in each letter, number 10
HJL → +3 again, number 13
KMO → +3 again, number 16

So the next cluster is:
N P R
number 19
✅ Answer: A. NPR 19

Three of the following four letter clusters are alike in a certain way and form a group. Which one does not belong to the group?

A. BDF
B. CEG
C. FHJ
D. GJM

Solution
Check the letter gaps:
BDF → +2, +2
CEG → +2, +2
FHJ → +2, +2
GJM → +3, +3
Three clusters follow the same +2 pattern. GJM does not.
✅ Answer: D. GJM

What should come next in the series?
4, 10, 18, 28, 40, ?

A. 50
B. 52
C. 54
D. 56

Solution
Series:$$4, 10, 18, 28, 40, ?$$Differences are:$$6, 8, 10, 12$$Next difference:$$14$$So:$$40 + 14 = 54$$👉 Answer C: 54

Among the numbers 684, 529, 791, 436 and 857, what is the sum of the second digit of the highest number and the second digit of the lowest number?

A. 8
B. 9
C. 10
D. 11

The fastest trick:
Numbers:
436, 529, 684, 791, 857
Highest = 857 → 2nd digit = 5
Lowest = 436 → 2nd digit = 3
👉 5 + 3 = 8
✅ Answer: A. 8