RRB NTPC CBT 1 2020: उत्तर सहित प्रश्न

Taking processed results out of the computer – to a monitor, printer and so on – is the output process.

Let x be lent at 10%. x × 10 × 5/100 = (2600 − x) × 9 × 6/100, so 50x = 54(2600 − x) and 104x = 140400. x = Rs 1350.

The Moplah (Mappila) Rebellion took place in the Malabar region of Kerala in 1921–22.

Put Rohit at seat 1 with Ram and Mohit beside him (seats 2 and 6); Mohan is opposite Rohit (seat 4) and Shyam opposite Mohit (seat 3). Rohan takes the last seat, 5, which is opposite Ram (seat 2).

The Sahitya Akademi, India's National Academy of Letters, is headquartered at Rabindra Bhavan, New Delhi.

Carl Linnaeus, who introduced binomial nomenclature, is called the father of taxonomy.

A dog is used to guard; a horse is used to ride. Both pairs are animal : its use.

The Jallianwala Bagh massacre took place in Amritsar on 13 April 1919 (Baisakhi day).

In 4-64, 6-216 and 9-729 the second number is the cube of the first. 7³ = 343, not 27, so 7-27 is the odd one.

K is the son of I's paternal uncle. I and M are sisters with the same father, so K is M's cousin.

Lichens are very sensitive to sulphur dioxide and other air pollutants, so they are used as indicators of air pollution.

In a mirror placed on the right, the order of letters is reversed and each letter is flipped left-right: CHIVALRY becomes YRLAVIHC with every letter mirrored – option 3.

Let the fraction be x/(x + 2). Then 2x/[3(x + 2)] = 2/9, so 18x = 6x + 12 and x = 1. The fraction is 1/3.

Let a = p², b = q², c = −r². Then a + b + c = 0, so a³ + b³ + c³ = 3abc, i.e. p⁶ + q⁶ − r⁶ = −3p²q²r². Dividing by p²q²r² gives −3.

The yen is the currency of Japan.

Andhra Pradesh has a Legislative Council (as do Bihar, Karnataka, Maharashtra, Telangana and Uttar Pradesh). Himachal Pradesh, Assam and Madhya Pradesh do not.

First eight composites: 4, 6, 8, 9, 10, 12, 14, 15 – sum 78, mean 9.75. First eight primes: 2, 3, 5, 7, 11, 13, 17, 19 – sum 77, mean 9.625. Difference = 0.125 = 1/8.

Net National Product = Gross National Product − Depreciation (consumption of fixed capital).

1.4 × 0.6 = 0.84, so the number falls by 16%.

The smallest four-digit number is 1000. The largest square below it is 31² = 961, so 1000 − 961 = 39 must be subtracted.

x² − 2x + 1 = (x − 1)² = 0, so x = 1. Then x³ − 1/x³ = 1 − 1 = 0.

By alligation, boys : girls = (18.2 − 16.8) : (16.8 − 15.4) = 1.4 : 1.4 = 1 : 1.

The flag Madame Bhikaji Cama unfurled at Stuttgart in 1907 was later brought secretly into India by socialist leader Indulal Yagnik; it is preserved in Pune.

NIU stands for Network Interface Unit – the hardware that connects a computer to a network.

'Only a few amateurs are players' means some amateurs are players and some are not, so 'Some amateurs are not players' follows. Nothing links pilots and players.

For an equilateral triangle of side a, the circumradius R = a/√3. With a = √3, R = 1 unit.

Floppy disks, CD-ROMs and magnetic tapes are auxiliary (secondary) storage. PROM is a type of ROM chip – part of the primary memory.

Robert B. Wilson and Paul R. Milgrom won the 2020 Nobel Prize in Economic Sciences for improvements to auction theory and new auction formats.

√x = √3 − √2, so x = 3 + 2 − 2√6 = 5 − 2√6.

The Global Climate Change Alliance (GCCA), launched in 2007, is a European Union initiative to help vulnerable developing countries deal with climate change.

A mirror on the right reverses the order of characters and flips each one: A!B@C#D$E% becomes %E$D#C@B!A, each character mirrored – option 3.

P = 2 + 0.2 ÷ 0.4 − 2 = 2 + 0.5 − 2 = 0.5. Q = 2 − 0.5 − 1 = 0.5. So P/Q = 1.0.

In order, the 10th and 11th marks are both 14, so the median is 14. 14 also occurs most often (4 times), so the mode is 14. 2 × 14 − 14 = 14.

Squaring: 19 − x√12 = (2 − √3)² = 7 − 4√3. So x√12 = 12 + 4√3 and x = (12 + 4√3)/(2√3) = 2√3 + 2.

B alone does 5/30 = 1/6 in the last 5 days, so 5/6 was done together at 1/20 + 1/30 = 1/12 per day – 10 days. Total = 10 + 5 = 15 days.

Add the letter positions and multiply the digits of the total: AMBER = 1 + 13 + 2 + 5 + 18 = 39 → 3 × 9 = 27; BROWN = 72 → 7 × 2 = 14. GREEN = 7 + 18 + 5 + 5 + 14 = 49 → 4 × 9 = 36.

Gully Boy won Best Film at the 65th Filmfare Awards held in February 2020.

APPLE (Ariane Passenger PayLoad Experiment), launched in June 1981, was India's first experimental communication satellite.

The biosphere is the zone of the Earth – land, water and air – where life exists.

The Grammy Awards honour achievements in the music industry only.

The photosphere is the Sun's visible, glowing surface that emits most of its light.

For much of its length, the boundary between the USA and Canada follows the 49th parallel north.

The Jallianwala Bagh massacre (1919) happened when Lord Chelmsford was Viceroy (1916–1921).

Pandit Shivkumar Sharma popularised the santoor as a classical instrument.

cos 2θ = 1 − 2sin²θ = sin θ, so 2sin²θ + sin θ − 1 = 0 and sin θ = 1/2. With θ between 0° and 90°, θ = 30°.

1489 + 11 = 1500, and since 11 does not divide 1489 they are co-prime, so LCM = 1489 × 11 = 16379.

Albert Einstein put forward the special (1905) and general (1915) theories of relativity.

The extra Rs 33 is the extra 2% gain, so 2% of CP = 33 and CP = Rs 1650.

The Grey Revolution refers to increased production of fertilisers (and wool). Pink is meat and onion, Golden is horticulture and honey, Black is petroleum.

Each letter moves 13 places: M→Z, A→N, H→U, R→E, J→W. Applying +13 to RAINDROP gives E, N, V, A, Q, E, B, C = ENVAQEBC.

The bracket is 1/6 + 5/6 = 1. So 1/3 − 3/4 × 1 × 4/21 = 1/3 − 1/7 = 4/21.

Area of ABC = √3/4 × 4² = 4√3. Joining midpoints gives a triangle with 1/4 of the area: √3 cm².

Siraj-ud-Daulah, Nawab of Bengal, was defeated by Robert Clive's East India Company at Plassey in 1757.

6800 is 34% of the total, so total votes = 20,000. The winner got 48% = 9600, a margin of 2800. Invalid votes = 18% = 3600.

The longest pole is the room's diagonal: √(10² + 8² + 6²) = √200 = 10√2 m.

1/2 : 1/3 : 1/4 = 6 : 4 : 3 (multiplying by 12). Each part = 15600/13 = 1200, so the largest share = 6 × 1200 = Rs 7200.

Kolkata's average = (306 + 288 + 274 + 172)/4 = 260. Delhi's = (248 + 246 + 246 + 236)/4 = 244. Difference = 16.

The Bhabha Atomic Research Centre is at Trombay, Mumbai.

Mass has only magnitude, so it is a scalar. Force, momentum and velocity have direction too – they are vectors.

Triangle ABE has base BE = 2BC and the same height as the parallelogram. Its area = ½ × 2BC × h = BC × h, equal to the area of parallelogram ABCD.

Boyle's Law: at constant temperature, the volume of a fixed mass of gas is inversely proportional to its pressure (PV = constant).

The UN Security Council meets at the UN Headquarters in New York.

Income = C/2 × 5% + C/3 × 8% + C/6 × 10% = C(0.025 + 0.0267 + 0.0167) = 0.0683C = 820. So C = Rs 12,000.

LCM(12, 15, 18) = 180 = 2² × 3² × 5. To make it a perfect square multiply by 5: 900 = 30².

Each row decreases by 2 from left to right: 14, 12, 10, 8. So the last row is 16, 14, 12, 10.

Australia has hosted the Commonwealth Games five times: Sydney 1938, Perth 1962, Brisbane 1982, Melbourne 2006 and Gold Coast 2018.

The 42nd Amendment (1976) added the Fundamental Duties (Article 51A, Part IV-A), on the recommendation of the Swaran Singh Committee.

Take straight ahead as north: 10 km north, right → 8 km east, left → 12 km north, left → 8 km west, right → 4 km north. Net displacement = 26 km north, so the direct road is 26 km. The auto travelled 42 km – 16 km more.

The circulatory system is the heart, blood and blood vessels (arteries, veins and capillaries). The large intestine belongs to the digestive system.

Decoding: (700 + 110 − 90) ÷ (9 × 10 − 10) = 720 ÷ 80 = 9.

M.N. Roy first put forward the idea of a Constituent Assembly for India in 1934; the Congress adopted the demand in 1935.

B does 80% of A's work per day, so B needs 12/0.8 = 15 days.

Every power of 6 ends in 6 and every power of 5 ends in 5, so 6ⁿ − 5ⁿ always ends in 1.

Fire blight, caused by the bacterium Erwinia amylovora, attacks apples and pears and makes shoots look scorched. Tikka disease affects groundnut.

Increase 2001–2010 = 8100 − 6300 = 1800; increase 2010–2015 = 10800 − 8100 = 2700. Ratio 1800 : 2700 = 2 : 3.

The Tehri Hydro Power Complex is on the Bhagirathi in Uttarakhand. Sharavathi is in Karnataka, Koyna in Maharashtra and Chamera in Himachal Pradesh.

Dadabhai Naoroji made the first estimate of India's national income in 1867–68, in 'Poverty and Un-British Rule in India'.

Jan Shikshan Sansthans, which give vocational skills to non-literates and school dropouts, were moved to the Ministry of Skill Development and Entrepreneurship in 2018.

Time is inversely proportional to working capacity: B's time = 12 × 3/4 = 9 days.

Grades A and B together = 10% + 20% = 30% of 360 = 108 students.

a/x = 1/sin t = cosec t and b/y = 1/tan t = cot t. So a²/x² − b²/y² = cosec²t − cot²t = 1.

Gol Gumbaz, the mausoleum of Mohammed Adil Shah with one of the largest domes in the world, is at Vijayapura (Bijapur), Karnataka.

India's first nuclear power station, the Tarapur Atomic Power Station in Maharashtra, was commissioned in 1969.

Indradhanush (2015) is a seven-point plan to revamp public sector banks – appointments, governance, capitalisation and so on.

P = 0.3² + 0.03² − 2 × 0.3 × 0.03 = (0.3 − 0.03)² = 0.27² = 0.0729. P/Q = 0.0729/0.54 = 0.135.

Each letter is replaced by its position: E = 5, X = 24, C = 3, E = 5, L = 12, L = 12, E = 5, N = 14, C = 3, E = 5, giving 52435121251435.

Sandy is a grandson of Shanti through her daughter Chandini, so Sandy is Abhi's son; Shaurya, Sandy's son, is Abhi's grandson. Karan is also Abhi's grandson, but his mother is Rashmi, not Anchal. Children of two of Abhi's children are cousins.

First letters go back one (Z, Y, X, W, V, U), middle letters go forward (a, b, c, d, e, f) and last letters go back (F, E, D, C, B, A). Next: UfA.

The shapes lose one side each step (8, 7, ?, 5) and the chevrons decrease by one (7, 6, ?, 4). The missing figure is a hexagon with 5 chevrons – option 3.

A grasshopper is an insect; a hyena is a mammal.

The figures come in pairs: the first two have a circle inside a diamond with arrows down and up; the next pair has a diamond inside a circle with arrows right and left. So the missing figure has a diamond inside a circle with a left arrow – option 4.

Discus, shot-put and hammer throw are athletics throwing events; golf is not.

Telephone and letter are both means of communication but are separate from each other, so two separate circles lie inside one big circle – option 4.

The terms are 2n²: 2 × 4 = 8, 2 × 9 = 18, 2 × 16 = 32, 2 × 25 = 50, 2 × 36 = 72.

Each term increases by 10, so after 79 comes 89.

Spear, catapult, pistol and rifle are all weapons; only the pistol and rifle are guns.

In J college one student is good at Maths (Pinky) and the other at all subjects. Tanisha is in A college. Sharayn is not good at Science, so cannot be good at all subjects. So Mamta is good at all subjects.

If NET is mandatory for applying as a lecturer, only those who pass NET qualify for college teaching. The statement says nothing about NET making better teachers.

Total passed = 244,260 + 254,880 + 251,340 = 750,480 out of 3 × 354,000 = 1,062,000 appearing. Pass percentage ≈ 70.7%, about 71%.

A fine for late payment implies that all fees must be paid on time or a penalty is charged. Nothing is said about how many pay late or about revenue.