RRB NTPC Graduate CBT 2 (Free Practice Test 1) With Solutions And Exam Tricks (Part 3: Question 51-75)
Let’s take the mock test of RRB NTPC Exam 1 part 3 which contains questions from 51 to 75. You can prepare for any competitive exams here for free. There are no hidden charges. We even give you rewards if you perform well to motivate you in your study. Here you will try to attempt RRB NTPC Graduate CBT 2 exam practice test 1. The competitive exam is divided into 4 parts each with 25 questions. You are not just taking the exercise but also learning from the solutions, explanations, and hack tricks.
Exam Instructions
- Total Questions: 25 (This is Part 3 of Total 100 Questions.)
- Attempt like real exam (no scrolling to answers immediately π)
- Each question includes:
- β Correct Answer
- π§ Shortcut Trick
- β Why other options are wrong
The Solution and Explanation of The Competitive Exam
Question 51
Which cell organelle contains chlorophyll and is responsible for photosynthesis?
A. Mitochondrion
B. Chloroplast
C. Ribosome
D. Lysosome
Chloroplasts contain chlorophyll, and chlorophyll is the pigment used in photosynthesis. Britannica states that chloroplasts are green because they contain chlorophyll, which is vital for photosynthesis.
β
Answer: B. Chloroplast
Question 52
Rohan walks 10 km east, 7 km north, 6 km west, and 4 km south. How far and in which direction is he from the starting point?
A. 5 km, North-East
B. 5 km, North-West
C. 7 km, North-East
D. 3 km, North-East
Solution
Track the movement step by step:
10 km east
7 km north
6 km west
4 km south
Net movement:
East:
North:
So he is 4 km east and 3 km north of the starting point.
Distance:
So the answer is 5 km, North-East.
β
Answer: A. 5 km, North-East
Question 53
The average of 13 numbers is 50. The average of the first 7 numbers is 48 and that of the last 7 numbers is 52. What is the 7th number?
A. 48
B. 49
C. 50
D. 51
Solution
Total of 13 numbers:
13 Γ 50 = 650
Total of first 7:
7 Γ 48 = 336
Total of last 7:
7 Γ 52 = 364
If we add the first 7 and last 7 totals, the 7th number is counted twice:
336 + 364 = 650 + x
700 = 650+x
x = 50
β
Answer: C. 50
Question 54
As of April 2026, which country has overtaken the United States to become India’s top trading partner for the financial year 2025-26?
A. UAE
B. Russia
C. China
D. Germany
China: Recent data for FY 2025-26 indicates China has reclaimed the spot as India’s largest trading partner.
β
Answer: C. China
Question 55
Find the missing term in the series:
CEG 11, EGI 14, GIK 17, IKM 20, ?
A. KMO 23
B. KMP 23
C. KMO 24
D. LMO 23
Coding Series
Solution
The pattern is:
First letters: C, E, G, I, K
Second letters: E, G, I, K, M
Third letters: G, I, K, M, O
Numbers: 11, 14, 17, 20, 23
So the missing term is KMO 23.
β
Answer: A. KMO 23
Question 56
Find the mode of the following grouped data. Give the answer correct to 2 decimal places.
| Age in years | No. of Students |
|---|---|
| 20-30 | 6 |
| 30-40 | 11 |
| 40-50 | 19 |
| 50-60 | 15 |
| 60-70 | 9 |
| 70-80 | 5 |
A. 45.67
B. 46.67
C. 47.67
D. 48.67
Mode (Grouped Data)
Modal class = 40β50 (highest frequency = 19)
Formula:
Mode =
β
Answer: B. 46.67
Question 57
Read the statements and conclusions carefully.
Statements:
All pens are tools.
Some tools are metal.
All metal things are durable.
Conclusions:
(I) Some durable things are tools.
(II) All pens are durable.
A. Only conclusion (I) follows
B. Only conclusion (II) follows
C. Both conclusions follow
D. Neither conclusion follows
Solution
From the statements:
All pens are tools.
Some tools are metal.
All metal things are durable.
Since some tools are metal and all metal things are durable, it follows that some durable things are tools.
But we cannot say that all pens are durable, because there is no statement linking all pens to durable things directly.
So only conclusion (I) follows.
β
Answer: A. Only conclusion (I) follows
Question 58
Who founded the Servants of India Society?
A. Bal Gangadhar Tilak
B. Gopal Krishna Gokhale
C. Dadabhai Naoroji
D. Mahadev Govind Ranade
Britannica states that the Servants of India Society was founded by Gopal Krishna Gokhale in 1905.
The correct answer is B: Gopal Krishna Gokhale
Question 59
A shopkeeper buys 48 dozen pencils at βΉ240 per dozen and sells each pencil at βΉ25. What is his profit percentage?
A. 20%
B. 25%
C. 30%
D. 35%
π΄ Given
Bought 48 dozens at βΉ240 per dozen
Sold each at βΉ25
π 1 dozen = 12
π§ Core Concept
β‘ STEP 1: Work PER DOZEN (fastest trick)
π Always convert to same unit
Cost Price per dozen: CP = βΉ240
Selling Price per dozen: 12 x 25 = 300
π§ STEP 2: Profit per dozen
Profit: 300 – 240 = 60
π§ STEP 3: Profit %
β
Answer: B. 25%
Question 60
Solve the system of equations:
x + y + z = 6
2x + y + z = 8
x + 2y + z = 7
A. x=2, y=1, z=3
B. x=3, y=1, z=2
C. x=1, y=2, z=3
D. x=2, y=3, z=1
Subtract the first equation from the second:
2x + y + z = 8 …(2)
x + y + z = 6 …(1)
Subtract (-)
(2x – x ) + (y – y) + (z -z ) = (8 – 6)
x = 2
Subtract the first equation from the third:
x + 2y + z = 7 …(3)
x + y + z = 6 …(1)
Subtract (-)
(x -x) + (2y – y) + (z – z) = (7 – 6)
y = 1
[By the way based on options we have already got our correct answer Option A. But in order to learn, we proceed further.]
Now substitute both x = 2 and y = 1 into the first equation x + y + z = 6 …(1)
2 + 1 + z = 6
3 + z = 6
z = 6 – 3
z = 3
β
Answer: B. x = 4, y = β2, z = 3
Question 61
The price of a product decreases by 20%, increases by 25%, decreases by 10%, and finally increases by 40%. What is the net change compared with the original price?
A. Increase by 26%
B. Decrease by 26%
C. Increase by 24%
D. Decrease by 24%
Successive Change
Solution
Apply the successive percentage changes as multipliers:
Assume the original: 1
Decrease 20% β 20
Increase 25% β 1.25
Decrease 10% β 0.9
Increase 40% β 1.4
Overall factor:
0.8Γ1.25Γ0.9Γ1.4 = 1.26
So the final price is 126% of the original price, which means an increase of 26%.
β
Answer: A. Increase by 26%
Question 62
What is the average of the first 50 odd natural numbers?
A. 25
B. 50
C. 75
D. 100
The first 50 odd natural numbers are:
1,3,5,β¦,99
For an arithmetic sequence, the average is the mean of the first and last terms:
Average = (1+99)/2 = 50
Or directly, the average of the first n odd numbers is n.
So the answer is 50.
β
Answer: B. 50
Question 63
Who built the Brihadishvara Temple at Thanjavur?
A. Raja Raja I
B. Rajendra I
C. Kulottunga I
D. Parantaka I
Britannica states that Raja Raja I built the Brihadishvara Temple at Thanjavur.
β
Answer: A. Raja Raja I
Question 64
Choose the correct analogy:
JNR : LPT :: SUV : ?
A. UWX
B. TWX
C. VWX
D. UWY
Solution
In the pair JNR : LPT, each letter is shifted forward by 2:
J β L
N β P
R β T
Apply the same to SUV:
S β U
U β W
V β X
So the answer is UWX.
β
Answer: A. UWX
Question 65
Select the set in which the numbers are related in the same way as the following sets:
(4,16,8), (5,25,10)
A. (6,36,12)
B. (6,35,12)
C. (7,48,14)
D. (8,60,16)
Pattern
Solution
The relation in the given sets is:
second number = square of the first
third number = twice the first
Check option A:
62 = 36, 2 Γ 6 = 12
It matches the pattern.
β
Answer: A. (6,36,12)
Question 66
Barren Island, Indiaβs only active volcano, is part of which island group?
A. Lakshadweep Islands
B. Andaman and Nicobar Islands
C. Nicobar Islands only
D. Andaman Islands only
While technically part of the larger Union Territory of Andaman and Nicobar Islands, it geographically belongs to the Andaman Island chain, not the Nicobar chain. Since a larger picture is present, it would be better to choose both.
β
Answer: B. Andaman and Nicobar Islands
Question 67
Which ratio is the largest among the following?
A. 4:9
B. 7:15
C. 11:25
D. 13:30
Largest Ratio
Compare:
4/9 = 0.444…
7/15 = 0.466…
11/25 = 0.44
13/30 = 0.433…
The largest is 7:15.
π Answer B. 7:15
Question 68
150 men have provisions for 24 days. If 50 men leave, for how many days will the same provisions last for the remaining men?
A. 30
B. 32
C. 36
D. 40
Pattern
150 men β 24 days
Total work (150 x 24) = 3600
50 leave, remaining (150 – 50 = 100)
β days = 3600/100 = 36
β
Answer: C. 36
Question 69
Which article of the Indian Constitution directs the State to promote cottage industries in rural areas?
A. Article 39
B. Article 41
C. Article 42
D. Article 43
Article 43 of the Constitution states that the State shall endeavour to promote cottage industries in rural areas. The Constitution text and constitutional commentary identify this as part of the Directive Principles.
β
Answer: D. Article 43
Question 70
A dealer buys two articles X and Y for βΉ1000 each. He marks both at the same price. He sells X after two successive discounts of 20% and 25%, and still earns βΉ200 profit. If he sells Y at a single discount of 40%, what is the profit percentage on Y?
A. 15%
B. 20%
C. 25%
D. 30%
Profit
CP = 1000
For X, two successive discounts of 20% and 25% give:
Let MP = x
SP(X) = x Γ 0.8 Γ 0.75 = 0.6x
Since X gives a profit of βΉ200 on cost price βΉ1000:
Total = 1200
SP(X): 0.6x = 1200
x = 1200/0.6
x = 2000
For Y, a single discount of 40% gives:
SP(Y) = 60% of 2000 is = 1200
Profit: 1200 – 100 = 200
Profit percentage:
200/1000 βΓ 100 = 20%
π― FINAL ANSWER: C. 20%β
Question 71
Three of the following four letter-cluster pairs are alike in a certain way and form a group. Which one does not belong to the group?
A. LN-MO
B. PU-QV
C. TW-UX
D. FH-IK
Solution
Check the pairwise pattern:
LN β MO = each letter shifts by +1
PU β QV = each letter shifts by +1
TW β UX = each letter shifts by +1
FH β IK = each letter shifts by +3
So FH-IK does not belong to the group
β
Answer: D. FH-IK
Question 72
Simplify:
A. 32
B. 34
C. 36
D. 38
Simplify
SolutionNow evaluate:
β
Answer: C. 36
Question 73
What should come next in the series?
2, 6, 12, 20, 30, ?
A. 38
B. 40
C. 42
D. 44
Solution
Series: 2,6,12,20,30,?
Differences: 4,6,8,10
The differences increase by 2 each time, so the next difference is: 12
Thus:
30 + 12 = 42
β
Answer: B. 42
Question 74
Which hormone is secreted by the beta cells of the pancreas and regulates blood sugar?
A. Adrenaline
B. Thyroxine
C. Insulin
D. Glucagon
Britannica states that insulin is a hormone produced by the beta cells of the islets of Langerhans in the pancreas and that it regulates blood sugar.
β
Answer: C. Insulin
Question 75
What comes next in the series?
1, 4, 9, 16, 25, ?
A. 30
B. 35
C. 36
D. 40
Solution
The series is: 1,4,9,16,25,?
These are perfect squares:
The next is:
β
Answer: C. 36

