RRB NTPC Graduate Level (24th March 2026 Shift 1) — RRB NTPC 2025

• Given conditions: 7 boxes are placed one above the other. Topmost position is 1 and bottommost is 7.

• Deduction process:
1) 'No box is kept above U' means U is at Position 1.
2) 'Only three boxes between U and P': U is at 1, so P must be at Position 5 (boxes at 2, 3, 4 are between them).
3) 'T is kept immediately above P': T is at Position 4.
4) 'Only one box is kept between R and T': T is at 4, so R can be at 2 or 6.
5) 'Only four boxes between R and V': If R is at 6, V would be at 1, which is occupied by U. So, R must be at Position 2. Thus, V is at Position 7 (boxes at 3, 4, 5, 6 are between R and V).
6) Now, empty spots are 3 and 6. 'Q is kept at some place above S': Q is at 3 and S is at 6.
Final arrangement (Top to Bottom): 1-U, 2-R, 3-Q, 4-T, 5-P, 6-S, 7-V.

• Final Answer: Boxes between S (Position 6) and U (Position 1) are R, Q, T, P (total 4 boxes).

• Key Fact: Agricultural runoff is the most significant source of nutrient pollution (primarily nitrogen and phosphorus from fertilizers) that leads to eutrophication in freshwater bodies.

• Supporting Detail: Eutrophication causes dense growth of plant life and algae blooms, which deplete dissolved oxygen in the water and kill aquatic life.

• Why others wrong: While sewage and industrial effluents also contribute to pollution, the sheer volume of fertilizers washing off from vast agricultural lands makes agricultural runoff the leading global cause of eutrophication.

• Exam Trick: Remember 'Nutrient Pollution' = Nitrogen & Phosphorus = Fertilizers = Agriculture.

• Key Fact: The Dadasaheb Phalke Award is India's highest award in the field of cinema. It is presented annually at the National Film Awards ceremony by the Directorate of Film Festivals.

• Supporting Detail: The award commemorates Dadasaheb Phalke, known as the 'Father of Indian Cinema', who directed India's first full-length feature film, Raja Harishchandra (1913).

• Why others wrong: The National Award for Best Actor is a category award, not the highest lifetime honour. Padma Bhushan is a civilian award, and Filmfare is a private commercial award.

• Additional Info: The first recipient of the Dadasaheb Phalke Award was actress Devika Rani in 1969.

• Given conditions: 7 boxes (1 is top, 7 is bottom).

• Deduction process:
1) 'Only two boxes below B': B must be at Position 5.
2) 'Only one box above G': G must be at Position 2.
3) 'Only one box between G and A': G is at 2, so A must be at Position 4 (since Position 0 is invalid).
4) 'C is kept immediately above F': The only two consecutive empty spots are 6 and 7. Thus, C is at 6 and F is at 7.
5) The remaining empty spots are 1 and 3. 'E is kept below D': D must be at 1 and E must be at 3.
Final arrangement (Top to Bottom): 1-D, 2-G, 3-E, 4-A, 5-B, 6-C, 7-F.

• Final Answer: Below E (Position 3), there are 4 boxes (A, B, C, F).

• Given: Average of 10 students $= 50\text{ kg}$; New average (11 people) $= 51\text{ kg}$.

• Basic Method (Solution):
Step 1: Total weight of 10 students $= 10 \times 50 = 500\text{ kg}$
Step 2: Total weight of 11 people (including teacher) $= 11 \times 51 = 561\text{ kg}$
Step 3: Teacher's weight $= 561 - 500 = 61\text{ kg}$

• Shortcut Method: New member's value $=$ New average $+$ (Increase in average $\times$ Old number of members)
Teacher's weight $= 51 + (1 \times 10) = 51 + 10 = 61\text{ kg}$.

• Final Answer: 61 kg

• Given conditions: All Heaters (H) are inside Fans (F). Some Heaters (H) overlap with Lights (L). No Heater (H) touches Bulb (B).

• Deduction process:
Conclusion (I): 'Some fans are lights.' Since all heaters are fans, the part of heaters that are lights will also be fans. Hence, the overlap between H and L ensures an overlap between F and L. Conclusion (I) follows.
Conclusion (II): 'No bulb is a heater.' This is simply the converse of the given statement 'No heater is a bulb'. Since H and B have no intersection, conclusion (II) follows perfectly.

• Exam Trick: Always draw a Venn diagram. If a smaller circle (H) intersects a third circle (L), the larger enclosing circle (F) MUST intersect that third circle.

• Final Answer: Both conclusions (I) and (II) follow.

• Given conditions: 7 people sitting in a circle facing the centre (Right = Counter-Clockwise, Left = Clockwise).

• Deduction process:
1) 'E sits immediate right of F': Path is F $\rightarrow$ E (Counter-Clockwise).
2) 'E sits 3rd right of A': A $\rightarrow$ _ $\rightarrow$ _ $\rightarrow$ E. Combining with F, we get A $\rightarrow$ _ $\rightarrow$ F $\rightarrow$ E.
3) 'F sits 3rd left of D': Left is clockwise, which means D is 3 positions counter-clockwise from F. F $\rightarrow$ E $\rightarrow$ _ $\rightarrow$ D. So the sequence counter-clockwise is A, X, F, E, Y, D.
4) We have 6 positions: A, X, F, E, Y, D. Let the 7th person be Z between D and A. Full circle CCW: A, X, F, E, Y, D, Z.
5) 'B is not immediate neighbour of F': F's neighbours are X and E. So B cannot be X. Thus B must be Y or Z.
6) '1 person between G and C from left (clockwise) of C': This implies C $\rightarrow$ _ $\rightarrow$ G (Clockwise), which means G $\rightarrow$ _ $\rightarrow$ C (Counter-Clockwise). We need two spots separated by 1 person in the CCW direction.
The valid spots for (G, C) from the remaining unknowns {X, Y, Z} can be checked. If G=Z and C=X, the CCW order is A, C, F, E, B, D, G.
Let's verify: Left of C(CW) is A, then G. Thus 1 person (A) is between C and G. Conditions met! B is at Y, not next to F.
7) Question: 3rd to the right (CCW) of G? Sequence is G $\rightarrow$ A $\rightarrow$ C $\rightarrow$ F. The 3rd person is F.
Wait, let's look at the Official Answer Key: it marks 'A'. This means Option A, which contains the letter 'F'.

• Exam Trick: Clearly mark Right = Anti-Clockwise and Left = Clockwise. Create relative blocks of positions before trying to fix them in a circle.

• Final Answer: F (which corresponds to Option A).

• Key Fact: Fold mountains like the Himalayas are formed primarily by convergent plate boundaries, specifically the plate collision between the Indian Plate and the Eurasian Plate.

• Supporting Detail: When two tectonic plates collide, the immense compressional forces cause the Earth's crust to crumple and fold upwards, creating massive mountain ranges.

• Why others wrong: Wind deposition forms dunes; erosion by rivers forms valleys and gorges; volcanic eruptions form volcanic mountains (like Mount Kilimanjaro), not fold mountains.

• Exam Trick: 'Fold' = 'Folding of crust' = Two plates colliding (Convergent Boundary).

• Key Fact: Article 39(d) of the Indian Constitution, under the Directive Principles of State Policy (DPSP), specifically directs the State to ensure 'equal pay for equal work for both men and women'.

• Related Concept: Article 44 deals with the Uniform Civil Code; Article 43 deals with living wage and conditions of work for workers; Article 41 deals with the right to work, education, and public assistance in certain cases.

• Exam Trick: Remember Article 39 as the 'Socialist Article' which redistributes wealth (39b, 39c) and ensures fair pay (39d).

• Given: Principal ($P$) = ₹4,000, Time ($T$) = 2 years, Rate ($R$) = 6% p.a.

• Basic Method (Solution):
Step 1: Simple Interest (SI) $= \frac{P \times R \times T}{100} = \frac{4000 \times 6 \times 2}{100} = ₹480$
Step 2: Amount after Compound Interest (CI) $= P \times (1 + \frac{R}{100})^2 = 4000 \times (1.06)^2 = 4000 \times 1.1236 = ₹4494.40$
Step 3: CI $= 4494.40 - 4000 = ₹494.40$
Step 4: Difference $= CI - SI = 494.40 - 480 = ₹14.40$

• Shortcut Method: For 2 years, the direct formula for difference between CI and SI is:
$Diff = P \times (\frac{R}{100})^2$
$Diff = 4000 \times (\frac{6}{100})^2 = 4000 \times \frac{36}{10000} = \frac{144000}{10000} = 14.40$

• Final Answer: ₹ 14.40