RRB NTPC CBT 1 2016: questions with answers

Anodising thickens the natural aluminium oxide layer on the surface electrolytically. This hard oxide coat protects cookers and pans from corrosion (the 'rusting' of aluminium) and wear.

19170 ÷ 54 = 355, and 355 ÷ 5 = 71.

In figure X each 2 × 2 block in the bottom half is the block above it turned through 180°: the bottom-left block is the top-left block turned upside down (the filled circle moves from top-left to bottom-right, and so on). Turning the top-right block through 180° gives empty triangle, filled diamond over empty circle, filled square, which is option 1.

k³ + 3k = (−3)³ + 3(−3) = −27 − 9 = −36.

Ethnography is the written, research-based description of a people and their culture, produced by anthropologists through fieldwork.

Cheating by 25% both while buying and selling gives a total gain of (1.25 × 1.25 − 1) × 100 = 56.25%.

CHILLY → HCLIYL swaps each pair of letters (CH → HC, IL → LI, LY → YL). MANURE → AM, UN, ER = AMUNER.

In 2016 India was implementing Bharat Stage IV emission norms (nationwide from April 2017); the country later leapfrogged to BS-VI in April 2020.

A warrior is a member of an army, an artist of a troupe and a singer of a chorus. A principal heads a school rather than being one of its members, so that pair is different.

Sir Tim Berners-Lee invented the World Wide Web in 1989 at CERN, creating HTML, HTTP and the first web browser.

The government wants to improve the ratio in both rural and urban areas, which says nothing about which area has the higher ratio. Neither conclusion follows.

Sri Lanka (then Ceylon) became independent from Britain on 4 February 1948.

cot x = 5/12 gives a 5–12–13 triangle: sin x = 12/13 and cos x = 5/13, so sec x = 13/5. sin x − sec x = 12/13 − 13/5 = (60 − 169)/65 = −109/65.

Bluetongue is a viral disease of sheep and goats spread by biting midges. In 2015 India launched its first indigenous bluetongue vaccine.

Standard deviation = √variance = √81 = 9 (it is never negative).

Control rods of cadmium or boron absorb excess neutrons, keeping the chain reaction steady. Moderators such as heavy water or graphite slow neutrons down.

Quick lime is CaO, slaked lime Ca(OH)₂, urea CO(NH₂)₂ and washing soda Na₂CO₃: A–R, B–S, C–P, D–Q.

Sputnik 1, launched by the Soviet Union on 4 October 1957, was the world's first artificial satellite.

Going clockwise round figure X (top-left → top-right → bottom-right → bottom-left), each quarter is the previous one turned through 90° clockwise. The missing bottom-right quarter is therefore the top-left quarter turned through 180°, which is option 2.

A bottle holds wine, a cup holds tea and a matka holds water. A ball and a bat are used together but one does not hold the other, so that pair is different.

sin A = 4/5 gives cos A = 3/5; sin B = 5/13 gives cos B = 12/13. sin(A + B) = sin A cos B + cos A sin B = 48/65 + 15/65 = 63/65.

29 = 16 + 8 + 4 + 1, so in binary it is 11101.

From RABBIT = 927763: R 9, A 2, B 7, I 6, T 3. From DRAFTER = 8920349: E 4. BETTER = B 7, E 4, T 3, T 3, E 4, R 9 = 743349.

Dadasaheb Phalke directed Raja Harishchandra (1913), India's first full-length feature film; India's highest film award is named after him.

A biopsy removes a small piece of tissue for microscopic examination; it is the standard test to confirm cancer.

Total parts = 2 + 3 + 5 + 8 = 18, so 1 part = 198/18 = Rs 11. Shares: 22, 33, 55 and 88.

ISRO's PSLV first flew in September 1993 (PSLV-D1, which failed); its first successful flight, PSLV-D2, was in October 1994. Of the options, 1994 is the year PSLV was first used successfully.

Ustad Sabri Khan, the renowned sarangi player of the Moradabad gharana, died in Delhi on 1 December 2015.

The woman's father is the only child of her grandfather. Nitin's brother's father is Nitin's father, and he is this only child, so the woman and Nitin share a father: she is his sister.

1999 sales = 600 lakh. Investment in 1997–99 = 375 + 330 + 525 = 1,230 lakh. 600/1,230 × 100 ≈ 48.8%, about 49%.

Average investment = (120 + 225 + 375 + 330 + 525 + 420)/6 = 1,995/6 = 332.5 lakh. Average sales = (200 + 300 + 500 + 400 + 600 + 460)/6 = 2,460/6 = 410 lakh. Difference = 77.5 lakh.

1997 investment: 225 → 375, a 66.7% rise; 1997 sales: 300 → 500, also 66.7%. In other years the changes differ (e.g. 1996: 87.5% vs 50%; 1998: −12% vs −20%; 1999: 59% vs 50%).

CP = 1,870/0.85 = Rs 2,200. For a 15% profit, SP = 2,200 × 1.15 = Rs 2,530.

The statement only claims that renewable energy will end the energy crisis. It says nothing about technology already replacing non-renewable energy, or about the cause of shortages. Neither conclusion follows.

In myopia (short-sightedness) distant objects look blurred because the image forms in front of the retina; it is corrected with concave lenses.

The angle an arc subtends at the centre is twice the angle it subtends at any point on the remaining part of the circle.

Nothing links cabbage with pink directly: 'No cabbage is pink' (I) and 'Some cabbage is pink' (IV) form a complementary pair, so either I or IV follows. Radishes are white but not necessarily pink, so II and III do not follow.

Replacing the letters: 28 ÷ 7 × 8 − 6 + 4 = 4 × 8 − 6 + 4 = 32 − 6 + 4 = 30.

The Group of Monuments at Pattadakal in Bagalkot district, Karnataka (a UNESCO World Heritage Site), has nine Hindu temples, including the Virupaksha temple, and a Jain sanctuary.

5/8 = 0.625, 11/16 = 0.6875 and 19/24 ≈ 0.792, so the ascending order is 5/8, 11/16, 19/24.

A touch screen is an input device, the CPU processes, RAM stores and a printer outputs: a–q, b–s, c–p, d–r.

Count seats to the left. Put Utkarsh at 0; Prem is at 2. Kazi's neighbours are Ritvik and Sunny, which is only possible with Kazi at 4, so Ritvik and Sunny take 3 and 5. Tinu is second to the left of Sunny, so Sunny is at 5, Tinu at 1 and Ritvik at 3. Order: Utkarsh, Tinu, Prem, Ritvik, Kazi, Sunny. Fourth to the left of Kazi (4 + 4 = 8 → seat 2) is Prem.

With the order Utkarsh, Tinu, Prem, Ritvik, Kazi, Sunny round the table, the person opposite Tinu (three seats away) is Kazi.

In the order Utkarsh, Tinu, Prem, Ritvik, Kazi, Sunny, Prem sits between Tinu and Ritvik.

Diagonal = side × √2, so side = 26/√2 = 13√2 cm.

Replacing the signs: 27 + 81 ÷ 9 − 6 × 1 = 27 + 9 − 6 = 30.

The Revolt of 1857 began on 10 May 1857 when sepoys rose at Meerut and marched to Delhi.

Walking both ways takes 7 h 45 min, so one walk takes 3 h 52.5 min. One ride = 6 h 15 min − 3 h 52.5 min = 2 h 22.5 min, so riding both ways takes 4 h 45 min.

Only metals above hydrogen in the reactivity series (such as sodium, potassium and calcium) are reactive enough to displace hydrogen from water.

The Ministry of Rural Development's 'Samanvay' portal monitors the progress and implementation of the Saansad Adarsh Gram Yojana (Parliament Model Village Scheme).

Ullas works twice as fast as Tejas, so together they do three times Tejas's daily work. They finish in 18 days, so Tejas alone takes 3 × 18 = 54 days.

2 min 30 s = 150 s costs Rs 18, so 1 s costs Rs 0.12. 3 min 20 s = 200 s costs 200 × 0.12 = Rs 24.

Pradhan Mantri Suraksha Bima Yojana is an accident insurance scheme giving Rs 2 lakh cover for accidental death or full disability (Rs 1 lakh for partial disability) at a small annual premium.

The exterior angles of any convex polygon, one at each vertex, add up to 360°.

A webcam, a bar-code reader (BCR) and a digitizer feed data into a computer. The processor (CPU) processes data; it is not an input device.

The square (PO) overlaps the rectangle (software employees) in regions 7 and 6, so some POs are software employees. B fails (the square lies inside the triangle), and C and D fail because parts of the circle (10, and 4/11) lie outside the triangle or rectangle.

Region 6 lies inside the rectangle, the square and the circle, so some software employees are POs and also post graduates. The other statements claim 'all', which the figure contradicts.

Regions 2, 3, 7, 8 and 9 are inside the triangle (rural) but outside the circle, so some rural people are not post graduates. No region is a PO who is a software employee but not rural, so B fails.

0.55 × 0.81 = 0.4455, and 0.4455 ÷ 4.5 = 0.099.

On 12 May 2015 Harbhajan Kaur Dheer became Mayor of Ealing, London, the first Asian woman of Indian origin to be a mayor in the UK.

The Election Commission of India conducts elections to Parliament, the state legislatures and the offices of President and Vice-President. Panchayat and municipal elections are conducted by the State Election Commissions (Article 243K).

Under the Kyoto Protocol each developed country receives Assigned Amount Units (AAUs), each allowing one tonne of CO₂-equivalent, which cap its greenhouse gas emissions.

Idukki in Kerala became the first district in India to have a high-speed rural broadband network linking all its gram panchayats under the National Optical Fibre Network (NOFN), in January 2016.

27 = 3³, 18 = 2 × 3², 45 = 3² × 5 and 81 = 3⁴. The common factor is 3² = 9.

The actress either takes full payment or nothing at all, so for this recent show one of the two must be true: either I or II follows.

Some black are grey and all grey are red, so some red are black (I). All red are babies, so some babies are black (II) and some babies are grey (III). Nothing connects dark with red for certain, so IV does not follow. I, II and III follow.

C. Rajagopalachari (1948–50) was the last Governor-General of India and the only Indian to hold the post; the office ended when the Constitution came into force on 26 January 1950.

The woman's mother's husband is her father, and his sister is Ritvik's aunt. So the woman and Ritvik have the same father's sister as aunt: she is his sister.

Cuba won the most gold medals (4) at the 2015 AIBA World Boxing Championships in Doha.

The TerreStar-1 communications satellite for North America was launched in July 2009 on an Ariane 5 rocket from Kourou, French Guiana (France).

Sushruta, author of the Sushruta Samhita, described many surgical procedures and instruments, including plastic surgery of the nose. He is called the 'Father of Indian Surgery'.

LCM of fractions = LCM of numerators ÷ HCF of denominators. Numerators 1, 1, 2, 2 have LCM 2; denominators 15, 2, 25, 15 have HCF 1. So the LCM is 2.

The Tungabhadra dam stands on the Tungabhadra river, a major tributary of the Krishna, at Hosapete in Karnataka.

−x − 4 = −3 gives −x = 1, so x = −1.

Mean of 1 to 10 = (1 + 10)/2 = 5.5.

In 2015 Seychelles named music composer A. R. Rahman its cultural ambassador.

33333 × 9999 = 333330000 − 33333 = 333296667.

Sorted: 1, 1, 3, 4, 7, 9, 9, 9, 10, 12. With 10 values, the median is the average of the 5th and 6th: (7 + 9)/2 = 8.

5886 ÷ 654 = 9, and 9 − 3 = 6.

Thakur Anoop Singh of India won gold at the 7th WBPF World Bodybuilding and Physique Championships in Bangkok in 2015.

Most of India's Zoroastrians (Parsis) live in Maharashtra, chiefly in Mumbai, with a smaller community in Gujarat.

The two selling prices are CP × 1.08 and CP × 1.18, in the ratio 108 : 118 = 54 : 59.

Amount = 7500 × (1.04)² = 7500 × 1.0816 = Rs 8,112. Compound interest = 8,112 − 7,500 = Rs 612.

Golconda Fort is in Hyderabad, Buland Darwaza in Fatehpur Sikri, Humayun's Tomb in New Delhi and Rani ki Vav in Patan (Gujarat): P–a, Q–b, R–c, S–d.

Some black are bells and all bells are white, so some black are white (I follows). All buttons are pink, so some pinks are buttons (III follows). II and IV are not certain. Only I and III follow.

Petroleum ether is a solvent (dry cleaning, perfumes), paraffin wax goes into ointments and cosmetics, asphalt and coke are used for roofing, roads and electrodes, and gasoline is a fuel: P–b, Q–d, R–c, S–a.

Together the punctures empty 1/29 + 1/6 = 35/174 of the tube per minute, so they take 174/35 = 4 34/35 minutes.

Replacing the signs: 26 × 76 ÷ 4 − 5 + 2 = 26 × 19 − 5 + 2 = 494 − 3 = 491.

From TEMPLE = 187658: P 6, E 8. From CHURCH = 439243: U 9, R 2. PURE = 6 9 2 8 = 6928.

Let women = w and men = 2w. After 10 men leave and 5 women board: 2w − 10 = w + 5, so w = 15 and men = 30. Initially 45 passengers boarded.

3(x − 2) − (x − 2) = 2(x − 2) = 2x − 4.

The Ryder Cup is a biennial men's golf competition between teams from Europe and the United States.

The Citizenship Act, 1955 provides for acquiring Indian citizenship (birth, descent, registration, naturalisation) and losing it (renunciation, termination, deprivation).

20% a year compounded quarterly is 5% a quarter; 6 months = 2 quarters. Amount = 4500 × (1.05)² = 4500 × 1.1025 = Rs 4,961.25.

Urmi's father's only son's grandmother is Urmi's own (paternal) grandmother. Her daughter-in-law is Urmi's mother.

In 2016 Nagarjunsagar-Srisailam (Andhra Pradesh–Telangana) was India's largest tiger reserve by area, about 3,568 sq km.

STABLE → TSBAEL swaps each pair of letters (ST → TS, AB → BA, LE → EL). SCARCE → CS, RA, EC = CSRAEC.

Interference and diffraction occur with both longitudinal and transverse waves, but only transverse waves can be polarised. Polarisation therefore proves that light is a transverse wave.

The jeeps are 20 × 10/60 = 10/3 km apart. The woman meets them 6 minutes (1/10 h) apart, so the relative speed is (10/3) ÷ (1/10) = 100/3 km/h. Her speed = 100/3 − 20 = 40/3 = 13 1/3 km/h.

Cochin International Airport (CIAL), Kerala, became the world's first airport fully powered by solar energy in August 2015.