RRB NTPC CBT 1 2016: సమాధానాలతో ప్రశ్నలు

Replacing the signs: 512 ÷ 8 × 5 − 73 + 92 = 64 × 5 − 73 + 92 = 320 − 73 + 92 = 339.

Net filling rate = 1/15 − 1/30 = 1/30 of the tank per minute, so it takes 30 minutes to fill.

In 2015 a team of Indian climbers summited a 6,180 m peak in the Spiti valley of Himachal Pradesh and named it 'Mount Kalam' in honour of Dr. A. P. J. Abdul Kalam.

Simple interest is proportional to time for the same principal and rate: 3 years : 12 years = 1 : 4.

The Indus rises in Tibet (China), flows through India (Ladakh) and then through Pakistan to the Arabian Sea. Its main stream does not flow through Afghanistan (only its tributary, the Kabul river, comes from there).

Sum = 21 + 23 + 43 + 65 + 76 + 23 + 98 + 34 + 62 + 89 = 534. Mean = 534/10 = 53.4.

All cats are buses, so the cats form part of the buses: 'Some buses are cats' follows. 'All buses are cats' reverses the statement, and nothing supports C or D.

Oxygen (atomic number 8) has the configuration 2, 6, so it has 6 valence electrons and needs 2 more to complete its octet.

Natural selection is the process by which organisms better adapted to their environment survive and reproduce more, so favourable traits spread.

In the same direction, the relative speed = 126 − 72 = 54 km/h = 15 m/s. Treating the car as a point, length of train = 15 × 40 = 600 m.

Urea is made in the liver through the urea (ornithine) cycle, which turns toxic ammonia into urea; the kidneys then excrete it.

In November 2015 the Ministry of Civil Aviation gave its approval for a second NCR airport at Bhiwadi in Rajasthan, as per the official key. (The project later moved to Jewar in Uttar Pradesh, now Noida International Airport.)

The product includes cot 90° = 0, so the whole product is 0.

Sultan Muhammad Quli Qutb Shah built the Charminar in Hyderabad in 1591, reportedly to mark the end of a deadly plague epidemic.

Train or bus users = 50 − 8 = 42. Both = 18 + 26 − 42 = 2. So exactly one of train or bus is used by 42 − 2 = 40 people.

At least one mode = 50 − 8 = 42, so both = 18 + 26 − 42 = 2.

Train only = 18 − 2 = 16. As a percentage of 50 people: 16/50 × 100 = 32%.

Structural functionalism (Durkheim, Parsons) sees society as a system of interrelated institutions, each with a function that keeps the whole stable.

72 = 2³ × 3², 108 = 2² × 3³ and 180 = 2² × 3² × 5. HCF = 2² × 3² = 36.

Keoladeo National Park (Bharatpur, Rajasthan), a UNESCO World Heritage Site since 1985, is famous as the winter home of the rare Siberian crane.

Noble gases (helium, neon, argon and others) have completely filled outer shells, so they are the least reactive elements.

At Rs 19 he loses 5%, so CP = 19/0.95 = Rs 20. For a 10% profit, SP = 20 × 1.1 = Rs 22.

SHELF: S(19)+1 = 20, H(8)−1 = 7, E(5)+1 = 6, L(12)−1 = 11, F(6)+1 = 7, alternately +1 and −1. LEAVES: L(12)+1 = 13, E(5)−1 = 4, A(1)+1 = 2, V(22)−1 = 21, E(5)+1 = 6, S(19)−1 = 18.

In POLICE → QLMRDV, letters in odd places move forward one (P→Q, L→M, C→D) and letters in even places are replaced by their reverse-alphabet partner (O→L, I→R, E→V). HOSPITAL: H→I, O→L, S→T, P→K, I→J, T→G, A→B, L→O = ILTKJGBO.

Article 360 lets the President proclaim a financial emergency if India's financial stability or credit is threatened. It has never been invoked.

A young cat is a kitten; a young donkey is a foal.

The integers are 30 and 40. (30 + x)/(40 + x) = 5/6 gives 180 + 6x = 200 + 5x, so x = 20.

At the highest point the stone's velocity is zero for an instant, but gravity still acts, so its acceleration is g ≈ 10 m/s² downwards.

India won the water polo gold medal at the first Asian Games, held in New Delhi in 1951.

45 is 60% of the total, so the team played 45/0.6 = 75 games.

sin A = 1/√2 gives A = 45°, and cos B = √3/2 gives B = 30°. A + B = 75°.

In 2015 the BCCI appointed former Delhi High Court Chief Justice A. P. Shah as its ethics officer (and ombudsman) to deal with conflict-of-interest issues.

Rabies is an acute viral disease of mammals spread to humans through the bite or scratch of an infected animal, usually a dog; it is almost always fatal once symptoms appear.

60 = 2² × 3 × 5, 120 = 2³ × 3 × 5 and 225 = 3² × 5². LCM = 2³ × 3² × 5² = 1800.

With sodium in milligrams, almonds have 96 mg of sodium and 5.4 g = 5,400 mg of fibre. 96/5400 × 100 ≈ 1.78%.

Protein in nuts = 5.7 g and fat in raisins = 21.7 g. 5.7/21.7 × 100 ≈ 26.27%.

Average carbohydrate = (46.6 + 64.7 + 65.1)/3 = 176.4/3 = 58.8 g.

Reverse osmosis pushes water through a semi-permeable membrane against the concentration gradient, leaving salts and impurities behind; it is widely used to purify drinking water.

'India must accelerate (Q) its productivity attainments through (S) strategic interventions on building (P) human talent, quality, and technology (R)' = QSPR.

'Brain' (1986), written by two brothers in Lahore, Pakistan, is regarded as the first computer virus for MS-DOS; it infected the boot sector of floppy disks.

Walk-through metal detectors work by electromagnetic induction: a metal object changes the magnetic field and induces currents, as described by Faraday's law.

J. Robert Oppenheimer led the Los Alamos laboratory of the Manhattan Project, which built the first atomic bombs in 1945.

100 × (1.1)ⁿ = 121 gives (1.1)ⁿ = 1.21 = (1.1)², so n = 2 years.

Interchanging ÷ and −: 5 × 36 ÷ 9 + 31 − 41 = 20 + 31 − 41 = 10.

Binay takes twice as long as Anil, and the difference is 20 days, so Anil takes 20 days and Binay 40. Together: 1/20 + 1/40 = 3/40 a day, so 40/3 ≈ 13.33 days.

PM Narendra Modi launched the International Solar Alliance, with French President François Hollande, at COP21 in Paris on 30 November 2015.

METSAT (renamed Kalpana-1), launched in 2002, was ISRO's first dedicated weather satellite, placed in geosynchronous orbit.

Binu's 3 parts = Rs 51, so 1 part = Rs 17. Chitra (4 parts) gets Rs 68 and Arvind (2 parts) Rs 34.

CLOUD → XOLFW replaces each letter with its reverse-alphabet partner (C↔X, L↔O, O↔L, U↔F, D↔W). SUNSET → H F M H V G = HFMHVG.

ISRO's Space Applications Centre (SAC) is in Ahmedabad, Gujarat.

15/41 ≈ 0.366, 3/7 ≈ 0.429, 19/35 ≈ 0.543 and 7/11 ≈ 0.636, so the ascending order is 15/41, 3/7, 19/35, 7/11.

In November 2015 PM Modi unveiled a statue of the 12th-century philosopher and social reformer Basaveshwara on the Albert Embankment in London.

Sorted: 12, 12, 21, 23, 23, 23, 53, 53, 56, 64, 86, 87, 87, 87, 98. With 15 values, the median is the 8th: 53.

Rajendra Chola III (c. 1246–1279) was the last ruler of the Chola dynasty; after him the Pandyas took over the Chola territory.

The triangle formed by joining the midpoints of the sides has sides half as long (midpoint theorem), so its perimeter is 480/2 = 240 m.

Parents prefer private schools for better standards, so improving public schools is a sensible response (1 follows). Closing all public schools immediately is extreme and does not follow.

Average speed for two equal halves = 2 × 73 × 81/(73 + 81) = 11826/154 ≈ 76.79 km/h. Distance = 76.79 × 8 ≈ 614.34 km.

Jonas Salk developed the first effective (inactivated) polio vaccine, announced in 1955; Albert Sabin later developed the oral polio vaccine.

The only nephew of Ritu's son's wife's only unmarried brother is the son of Ritu's son, i.e. Ritu's grandson. His grandfather (on this side) is Ritu's husband.

The advertisement asks buyers to judge the price and quality, so it implies the product's quality should be good (1 follows). Nothing says XYZ is the best promoter of products (2 does not follow).

Replacing the signs: 216 − 3 × 48 ÷ 6 + 21 = 216 − 24 + 21 = 213.

Marie Curie won the Nobel Prize in Physics (1903, shared) and in Chemistry (1911); she is the only woman to win two Nobel Prizes, and the only person to win in two sciences.

Temperature is measured with a thermometer; solar radiation is measured with a pyranometer (thermopile pyranometer). An anemometer measures wind speed and a hygrometer humidity.

Sputnik 1, an 83.6 kg sphere about the size of a beach ball, was launched by the Soviet Union on 4 October 1957.

India's currency is the rupee; South Africa's is the rand.

All stars are planets and all planets are moons. So some planets are stars (2) and some moons are stars (3). 'All moons are planets' (1) and 'all planets are stars' (4) reverse the statements. Only 2 and 3 follow.

The tens digit is one more than the units digit (since reversing reduces the number by 9) and the digits add to 5, so the number is 32. Reversed, it becomes 23.

Variance = (standard deviation)² = 4² = 16.

The common 3.5-inch floppy disk stores 1.44 MB (strictly, that is the high-density disk; double-density holds 720 KB). Of the options, 1.44 MB is the standard capacity.

Arati Saha swam across the English Channel on 29 September 1959, becoming the first Asian woman to do so; she received the Padma Shri in 1960.

By Ohm's law V = IR; with R fixed at 5 Ω, a larger current means a larger voltage.

Ajay's mother has no brother, so her only sister-in-law is the wife of Ajay's father's only brother. Her son is Ajay's cousin, whose grandmother (father's side) is also Ajay's grandmother.

Check each pair in 2x − 4y = 16: (8, −1) gives 20, (5, −5) gives 30, (6, −1) gives 12 + 4 = 16 ✓, and (9, 2) gives 10. The solution is (6, −1).

Boys = 42 − 18 = 24. 24/42 × 100 ≈ 57%.

After resigning as Congress president, Subhas Chandra Bose formed the All India Forward Bloc in 1939.

The First Anglo-Burmese War was fought in 1824–26 and ended with the Treaty of Yandabo, under which Burma gave up Assam, Manipur, Arakan and Tenasserim.

The Tropic of Cancer passes through eight states: Gujarat, Rajasthan, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura and Mizoram. It does not pass through Manipur.

Wire length = 4 × 120π = 480π cm. As a circle, 2πr = 480π, so r = 240 cm.

Profit percentages: A 29/60 ≈ 48.3%, B 17/40 = 42.5%, C 21/50 = 42%, D 14/30 ≈ 46.7%. A is the best.

Bihu is the folk dance of Assam, performed during the Bihu festivals, especially Rongali (Bohag) Bihu in April.

Letters take reverse alphabet values (A = 26, B = 25, …, Z = 1): STOP = 8 + 7 + 12 + 11 = 38. POSTMAN = 11 + 12 + 8 + 7 + 14 + 26 + 13 = 91.

Interchanging × and +: 63 ÷ 7 × 5 + 3 − 46 = 9 × 5 + 3 − 46 = 45 + 3 − 46 = 2.

Kinjal is third to the right of Onkar, so Kinjal is at the right end (9), Onkar 6 and Jacob 5. Karim sits beside both Onkar and Padraja: Karim 7, Padraja 8. Lipika is third right of Nita and just right of Manoj: Nita 1, Rameez 2, Manoj 3, Lipika 4. Between Lipika (4) and Onkar (6) there is only Jacob.

The row from the left is Nita, Rameez, Manoj, Lipika, Jacob, Onkar, Karim, Padraja, Kinjal. With Kinjal at one end, Nita is at the other.

In the row Nita, Rameez, Manoj, Lipika, Jacob, Onkar, Karim, Padraja, Kinjal, the middle (5th) seat is Jacob's.

Profit = 2568 − 2400 = Rs 168. Profit % = 168/2400 × 100 = 7%.

LCD = 7 × 31 × 33 = 7161. 5/7 = 5115/7161, 21/31 = 4851/7161 and 52/33 = 11284/7161. Sum = 21250/7161.

237.43 + 7453.32 + 54.12 = 7744.87; 7744.87 − 987.23 = 6757.64.

Badminton became a full Olympic sport at the 1992 Barcelona Games (it had been a demonstration sport in 1972).

The father of Chandu's daughter-in-law's brother is also the father of the daughter-in-law herself. She is the wife of Chandu's son, so her father is the son's father-in-law.

76567 × 99999 = 76567 × 100000 − 76567 = 7656700000 − 76567 = 7656623433.

C. Rajagopalachari (1948–50) was the last Governor-General of India; the office ended when India became a republic on 26 January 1950.

For P416, (P + 1) − (4 + 6) = P − 9 must be a multiple of 11, so P = 9 (giving 9416 = 11 × 856).

Polaris, Rigel and Vega are stars. Europa is a moon of Jupiter, so it is different.

Side = √313600 = 560 m, so the diagonal = 560√2 m. Time = 560√2 / 4√2 = 140 s = 2 min 20 s.

Such an advertisement relies on people wanting their wealth to grow, so 2 follows. We cannot conclude from the advertisement alone that the promise is false, so 1 does not follow, as per the official key.

The Sun Temple at Konark, Odisha, was called the 'Black Pagoda' by European sailors because of its dark stone tower, a landmark for ships; the Jagannath temple at Puri was the 'White Pagoda'.

The Sixth Schedule (tribal autonomous district councils) applies to Assam, Meghalaya, Tripura and Mizoram. Nagaland is governed under Article 371A instead.

Edaphology is the branch of soil science that studies how soil affects living things, especially plants. Pedology studies the soil itself.

Bidya Devi Bhandari became Nepal's first woman President in October 2015 and served until 2023.