RRB NTPC Graduate CBT 2 2024 PYQs

Concept: In 1878, after Keshab Chandra Sen married his minor daughter to the Maharaja of Cooch Behar, his followers broke away and formed the Sadharan Brahmo Samaj.

1. Founders: Ananda Mohan Bose, Sib Chandra Deb, Umesh Chandra Dutta (with Shivnath Shastri).
2. Raja Ram Mohan Roy founded the Brahmo Sabha (1828); Debendranath Tagore led the Adi Brahmo Samaj.
3. Keshab Chandra Sen formed the Brahmo Samaj of India (1866) – the group that split.

Yaad rakhein: Brahmo splits: 1866 (Adi vs of India) → 1878 (Sadharan).

Answer: (D) Ananda Mohan Bose, Sib Chandra Deb and Umesh Chandra Dutta

Concept: The UNDP's Human Development Report publishes the HDI, built on three dimensions.

1. Long and healthy life – life expectancy at birth.
2. Knowledge – mean and expected years of schooling.
3. Decent standard of living – GNI per capita (PPP).

Yaad rakhein: HDI = Health + Education + Income (first HDR in 1990, Mahbub ul Haq and Amartya Sen).

Answer: (A) Human Development Report

Concept: Dandiya Raas of Gujarat is danced with a pair of decorated sticks (dandiyas) during Navratri.

1. It depicts a mock fight between Goddess Durga and Mahishasura; the sticks represent swords.
2. Garba is the other Navratri dance of Gujarat, done with clapping in circles.
3. Bhangra – Punjab (harvest), Bihu – Assam, Koli – fishermen of Maharashtra.

Yaad rakhein: Navratri + sticks = Dandiya; Navratri + clapping in circles = Garba.

Answer: (D) Dandiya

Concept: During evaporation, surface particles need energy (latent heat of vaporisation) to escape; they take it from the liquid and surroundings, which therefore cool.

1. Only high-energy particles escape, so the average kinetic energy of the remaining liquid falls.
2. The lost heat is replaced by absorbing heat from the surroundings → cooling.
3. Examples: sweating, water in an earthen pot (matka), acetone on palm.

Yaad rakhein: Evaporation = absorbs heat → cooling effect.

Answer: (D) Because particles absorb latent heat from the surroundings during evaporation

Concept: Speed of sound in a medium increases with temperature, because particles vibrate faster and pass on the disturbance quicker.

1. In air, $v\approx 331+0.6T\text{m/s}$ ($T$ in ${}^{\circ }\text{C}$).
2. At $0^{\circ }\text{C}$ about 331 m/s; at ${25}^{\circ }\text{C}$ about 346 m/s.
3. Sound is also faster in solids than liquids, and in liquids than gases.

Yaad rakhein: Roughly $+0.6\text{m/s}$ for every $1^{\circ }\text{C}$ rise.

Answer: (B) It increases.

Concept: The 73rd Constitutional Amendment Act, 1992 (in force 24 April 1993) gave constitutional status to Panchayati Raj institutions.

1. Article 243D reserves not less than one-third of seats (and chairperson posts) for women.
2. The 74th Amendment did the same for urban local bodies (Municipalities).
3. 24 April is celebrated as National Panchayati Raj Day.

Yaad rakhein: 73 = Village (Panchayat), 74 = City (Municipality).

Answer: (C) 73rd Amendment

Concept: Lyophilic ("solvent-loving") sols have strong affinity for the dispersion medium, e.g. starch, gum, gelatin in water.

1. Because they are well solvated, they are stable and reversible.
2. They are not easily coagulated by electrolytes – that is a property of lyophobic sols.
3. Like all colloids, they do show the Tyndall effect (though weakly).

Yaad rakhein: Lyo-philic = love of solvent = stable; lyo-phobic = fear of solvent = unstable.

Answer: (B) They have strong affinity for the dispersion medium.

Concept: The Brundtland Commission (World Commission on Environment and Development) gave the classic definition of Sustainable Development in "Our Common Future" (1987).

1. Definition: development that meets the needs of the present without compromising the ability of future generations to meet their own needs.
2. The commission was chaired by Gro Harlem Brundtland, former PM of Norway.
3. The idea led to the Rio Earth Summit (1992) and later the SDGs (2015).

Yaad rakhein: Brundtland 1987 = Sustainable Development; Rio 1992 = Agenda 21.

Answer: (C) Sustainable Development

Concept: Champaran Satyagraha (1917, Bihar) was Gandhi's first civil disobedience in India, for indigo farmers.

1. Under the tinkathia system, peasants had to grow indigo on $\frac{3}{20}$ of their land for European planters.
2. Raj Kumar Shukla invited Gandhi; Rajendra Prasad and others joined him.
3. Kheda (1918) helped peasants of Gujarat; Ahmedabad mill strike (1918) helped cotton mill workers.

Yaad rakhein: Order: Champaran 1917 (indigo) → Ahmedabad 1918 (mill workers) → Kheda 1918 (revenue).

Answer: (A) Indigo farmers in Bihar

Concept: Hardeep Singh Brar became President and CEO of BMW Group India from 1 September 2025.

1. He succeeded Vikram Pawah, who moved to head BMW Group Australia.
2. Brar earlier led sales and marketing at Kia India.
3. Santosh Iyer heads Mercedes-Benz India – a common distractor.

Yaad rakhein: BMW India 2025 – Hardeep Singh Brar; Mercedes-Benz India – Santosh Iyer.

Answer: (C) Hardeep Singh Brar

Concept: For successive discounts, multiply the marked price by $(1-\frac{d_1}{100})(1-\frac{d_2}{100})$.

1. $\text{SP}=1200\times 0.95\times 0.85$
2. $1200\times 0.95=1140$, $1140\times 0.85=969$
3. Difference $=1200-969=231$

Trick: Equivalent discount $=5+15-\frac{5\times 15}{100}=19.25\%$; $19.25\%$ of $1200=231$.

Answer: (A) ₹231

Concept: Customer pays for 15 articles (at 10% off) but receives $15+4=19$ articles; trader's gain is on the cost of all 19.

1. Let $\text{CP}=1$ per article; cost of 19 articles $=19$.
2. Required SP $=19\times 1.35=25.65$
3. $15\times 0.9\times \text{MP}=25.65\Rightarrow \text{MP}=\frac{25.65}{13.5}=1.9$
4. MP is $\frac{1.9-1}{1}\times 100=90\%$ more than CP.

Trick: $\frac{\text{MP}}{\text{CP}}=\frac{19\times 135}{15\times 90}=\frac{19}{10}$ → $90\%$ more.

Answer: (A) $90\%$

Concept: A number is divisible by 35 if it is divisible by both 5 and 7 (co-prime factors).

1. Last digit 0 → divisible by 5.
2. $977340÷7=139620$ exactly → divisible by 7. Hence divisible by 35.
3. 24 fails: last three digits 340 not divisible by 8; 34 fails: $488670$ is not a multiple of 17; 37 also leaves a remainder.

Trick: Test 7 quickly: $977-340=637=7\times 91$ (alternate 3-digit groups) → divisible by 7.

Answer: (A) 35

Concept: Overall gain/loss % = net profit ÷ total CP × 100.

1. Let CP of X $=300$, Y $=700$ (ratio $3:7$), total $=1000$.
2. Profit on X $=14\%$ of $300=42$; loss on Y $=11\%$ of $700=77$.
3. Net $=42-77=-35$ → loss $=\frac{35}{1000}\times 100=3.5\%$

Trick: Weighted: $\frac{3\times 14-7\times 11}{10}=\frac{42-77}{10}=-3.5\%$.

Answer: (C) Loss, $3.5\%$

Concept: Simplify the inner bracket first, then combine the like fractions.

1. $1+\frac{5}{7}=\frac{12}{7}$, so $\frac{1}{12/7}=\frac{7}{12}$
2. $\frac{5}{2}-\frac{3}{2}=1$
3. Total $=1+\frac{7}{12}=\frac{19}{12}$

Trick: Pair $\frac{5}{2}$ and $-\frac{3}{2}$ first – they give 1 instantly.

Answer: (D) $\frac{19}{12}$

Concept: Apply BODMAS: ÷ and × from left to right before +.

1. $0.848÷0.8=1.06$, then $1.06\times \frac{1}{2}=0.53$
2. $0.125÷\frac{5}{2}=0.125\times \frac{2}{5}=0.05$, then $0.05\times 0.4=0.02$
3. $0.53+0.02=0.55$

Trick: Dividing by $\frac{5}{2}$ = multiplying by $0.4$; so second part $=0.125\times 0.16=0.02$.

Answer: (B) 0.55

Concept: Cancel equal terms first, then simplify the complex fraction.

1. $\frac{4}{3}-\frac{4}{3}=0$
2. $1+\frac{2}{7}=\frac{9}{7}$, so $\frac{1}{9/7}=\frac{7}{9}$
3. Value $=\frac{7}{9}$

Trick: $\frac{1}{1+\frac{a}{b}}=\frac{b}{a+b}$ → $\frac{7}{7+2}=\frac{7}{9}$.

Answer: (A) $\frac{7}{9}$

Concept: Check for a Pythagorean triple first; a right triangle's area is $\frac{1}{2}\times \text{base}\times \text{height}$.

1. $42:56:70=3:4:5$ (×14) → right-angled triangle.
2. Check: ${42}^2+{56}^2=1764+3136=4900={70}^2$
3. Area $=\frac{1}{2}\times 42\times 56=1176{\text{cm}}^2$

Trick: Spot 3-4-5 multiples to skip Heron's formula.

Answer: (A) 1176

Concept: Solve brackets from innermost outward: ( ), then { }, then [ ].

1. $(2+5)=7$, $(5+5-7)=3$
2. $\{3+9-3\}=9$
3. $[\frac{12}{6}\times 9]=2\times 9=18$
4. $72÷18=4$

Trick: Innermost first – never open outer brackets before inner ones.

Answer: (D) 4

Concept: Overall profit % = sum of (share of goods × profit % of that share), taking total goods as 100.

1. $50\%$ sold at $+45\%$ → $0.5\times 45=22.5$
2. Remaining $50$; $30\%$ of it $=15$ units at $+27\%$ → $0.15\times 27=4.05$
3. Rest $=35$ units at $-43\%$ → $0.35\times 43=15.05$
4. $x=22.5+4.05-15.05=11.5$

Trick: '30% of the remaining' is 30% of 50, i.e. 15% of the total – not 30% of the total.

Answer: (A) 11.5