RRB NTPC CBT 1 2016: उत्तर सहित प्रश्न

The only son of Shamita's mother's mother is her mother's brother, Shamita's maternal uncle. So Shamita is his niece.

2x + 3 = 9 gives 2x = 6 and x = 3. Then 3x + 2 = 9 + 2 = 11.

Radish is a modified taproot that stores food (a fusiform root, thick in the middle and tapering at both ends). Onion is a bulb and potato a stem tuber.

The man's mother's only daughter is the man's sister, and she is Gunjan's mother. So the man is Gunjan's maternal uncle, and Gunjan, a girl, is his niece.

Microwaves induce electric charges and currents in metal surfaces, which can build up and cause sparks (arcing) that damage the oven and are dangerous. Porcelain lets microwaves pass through to heat the food, so it is safe. The official key gives the charge-build-up reason.

The Thomas Cup is the men's world team championship of badminton, first held in 1949. India won it for the first time in 2022. The women's equivalent is the Uber Cup.

ISRO's Augmented Satellite Launch Vehicle (ASLV) was first launched on 24 March 1987 from Sriharikota. That first flight failed; the first successful ASLV mission came in 1992.

The clocks ring together every LCM(1, 2, 3) = 6 hours. They rang together 3 hours ago, so they will ring together again 6 − 3 = 3 hours from now.

The World Anti-Doping Agency (WADA), founded in 1999 and based in Montreal, promotes and coordinates the fight against doping in sport through scientific research, education and the World Anti-Doping Code.

Martina Hingis and Leander Paes won the mixed doubles title at Wimbledon 2015. In 2015 they also won the Australian Open and US Open mixed doubles.

In each column the bottom number = (first × second) ÷ third: 18 × 12 ÷ 3 = 72 and 32 × 16 ÷ 4 = 128. For the middle column 24 × 14 ÷ ? = 112, so ? = 336/112 = 3.

Lakshya is DRDO's pilotless target aircraft used for training, and Nishant is DRDO's unmanned aerial vehicle (UAV) for surveillance. Astra is an air-to-air missile, not a pilotless aircraft. So the answer is 1 and 2.

Hepatology is the branch of medicine that deals with the liver, gall bladder and biliary system ('hepar' is Greek for liver). Geriatrics deals with the elderly.

From the chart, production was 40 in 1996 and 60 in 1997, average (40 + 60)/2 = 50. For 1995 and 2001 the average is (25 + 75)/2 = 50, the same. The other pairs give different averages.

Percentage increases over the previous year: 1996 (25 → 40) = 60%, 1997 (40 → 60) = 50%, 1999 (45 → 65) ≈ 44%, 2001 (50 → 75) = 50%, 2002 (75 → 80) ≈ 6.7%. The largest was in 1996.

Production rose from 25 in 1995 to 80 in 2002, an increase of 55. Percentage increase = 55/25 × 100 = 220%.

The 24th Saraswati Samman (for 2014) went to Dr. M. Veerappa Moily for his Kannada epic poem 'Ramayana Mahanveshanam'. President Pranab Mukherjee presented it.

A Bose–Einstein Condensate forms when a very dilute gas of bosons is cooled to near absolute zero, so that most atoms occupy the lowest quantum state and behave as one 'super-atom'. It was predicted by Bose and Einstein and first made in 1995.

Trained lecturers are inside the rectangle and lecturers in the college inside the triangle; unmarried means outside the circle. The region inside the rectangle and triangle but outside the circle is marked 4.

The region marked 7 is inside the circle (married) and the triangle (lecturers in the college) but outside the rectangle (not trained). It represents married lecturers in the college who are untrained; of the options this is 'Married lecturers in the college'.

Trained married lecturers are in the region common to all three shapes: the rectangle (trained), the circle (married) and the triangle (lecturers). That region is marked 5.

In each pair the first is the material the second is made of: steel for utensils, bronze for statues, duralumin for aircraft. Railway rails are made of steel, not wood (wooden sleepers support them), so 'Wood : Rails' is the odd pair.

98534 ÷ 824 gives quotient 119 and remainder 98534 − 824 × 119 = 98534 − 98056 = 478. Subtracting 478 gives a number exactly divisible by 824.

46 pencils at Rs 2.50 cost Rs 115, leaving 235 − 115 = Rs 120 for 20 pens. Average price of a pen = 120/20 = Rs 6.

Belur Math, the headquarters of the Ramakrishna Math and Mission founded by Swami Vivekananda, is on the west bank of the Hooghly in Howrah district, West Bengal.

Galvanisation coats iron or steel with a layer of zinc. Zinc is more reactive, so it corrodes first and protects the iron even if the coating is scratched.

All doors are keys and all keys are bats, so all doors are bats, which means some bats are doors; (1) follows. Only some clocks are bats, so nothing links clocks to keys; (2) fails. 'All keys are doors' reverses 'all doors are keys', so (3) fails. Only (1) follows.

The numbers in the circle are cubes: 1 = 1³, 8 = 2³, 27 = 3³. The missing one is 4³ = 64.

√5/2 = 2.236/2 = 1.118.

West Bengal is India's largest jute producer, growing well over half of the country's jute, followed by Bihar and Assam. The warm, humid climate of the Ganga delta suits jute.

The 92nd Amendment (2003) added four languages to the Eighth Schedule: Bodo, Dogri, Maithili and Santhali. Kannada was in the Schedule from the start (1950).

Games won = 18 − 12 = 6, so the fraction won is 6/18 = 1/3 ≈ 0.333.

In additive colour mixing (light), red and blue combine to give magenta. Red and green give yellow, and blue and green give cyan; all three together give white.

MANURE → EMRNUA takes the letters in the order 6, 1, 5, 3, 4, 2 (E M R N U A). Applying the same order to LIVELY (L I V E L Y) gives Y L L V E I = YLLVEI.

0.00000729/0.00000027 = 729/27 = 27 (the decimal places cancel).

a/b = 1/4 with a = 2 gives b = 8. Then b/c = 1/8 gives c = 64.

cos 0° = 1. (sin 0° = 0 and tan 0° = 0; cos 90° = 0.)

The statement only says the union opposed the declaration and no employee will declare. It does not tell us whether employees have extra income (I), nor that the union wants senior officers to declare first (II). Neither follows.

In December 2015 PM Narendra Modi released commemorative coins of Rs 125 and Rs 10 to mark the 125th birth anniversary of Dr. B. R. Ambedkar.

Let the smaller side be a, so the bigger side is a + 4 and the hypotenuse a + 8. Then a² + (a + 4)² = (a + 8)², i.e. a² − 8a − 48 = 0, so a = 12. The sides are 12, 16 and 20, and the bigger side is 16 cm.

Laterite soil forms in hot, heavy-rainfall areas where leaching washes away nutrients, leaving iron and aluminium oxides that make it reddish. It is generally poor for farming without manuring. The official key marks laterite.

Figure X is a large square divided into four quarters, containing two nested squares and two triangles. Continuing every line into the missing bottom-right quarter: the corners of both inner squares, the slanting line from the left middle point ending at the middle square's bottom-right corner, and the steep line from the small square's top-right corner down to the bottom edge. Only option 4 shows all of these correctly.

The Chief Minister is appointed by the Governor (Article 164), not by the Chief Justice of the High Court, so statement A is not true. The Governor appoints ministers on the CM's advice, the CM heads the State Planning Board, and a CM with majority support cannot simply be dismissed.

A MODEM (modulator–demodulator) connects computers over telephone lines by converting digital data into analog signals and back. Hubs, switches and repeaters connect devices within a network.

Two numbers with product 10 and sum 7 are 5 and 2. So x² + 7x + 10 = (x + 5)(x + 2).

Lord Cornwallis, Governor-General from 1786 to 1793, reorganised and modernised the Company's administrative service and is called the 'Father of Civil Services in India'.

CERs are Certified Emission Reductions, the carbon credits issued under the Kyoto Protocol's Clean Development Mechanism. One CER equals one tonne of CO₂ (or equivalent) emission avoided.

COP-21, the 21st UN climate change conference, was held in Paris in November–December 2015 and produced the Paris Agreement.

Amount = P × (1.05)⁴ = P × 1.21550625 = 431.01. So P = 431.01/1.2155 ≈ Rs 354.6, i.e. Rs 354.5 among the options.

Wages are shared by work done per hour: 1/4 : 1/5 : 1/6 = 15 : 12 : 10 (multiplying by 60). A's share = 15/37 × 777 = Rs 315.

Cost after successive discounts = 1000 × 0.90 × 0.85 = Rs 765, plus Rs 35 packaging = Rs 800. Selling at Rs 1,000 gives a gain of 200 on 800 = 25%.

From EXECUTE = 5351695: E 5, X 3, C 1, U 6, T 9. From SCRIPT = 714279: S 7, C 1, R 4, I 2, T 9. So EXIST = E 5, X 3, I 2, S 7, T 9 = 53279.

In figure X the quarters are symmetric under a half-turn: the top-right quarter turned 180° gives the bottom-left one. So the missing bottom-right quarter must be the top-left quarter turned 180°: no arrowhead, the scalloped corner at the bottom-right, and the S-curve turned the same way. Only option 4 matches.

The daughter of Rampal's grandmother is Rampal's aunt (his father's sister), and her only brother is Rampal's father. So Rampal defeated his father.

The Battle of Gulnabad was fought on 8 March 1722 near Isfahan. Afghan forces under Mahmud Hotaki defeated the Safavid army of Persia, leading to the fall of Isfahan.

Apollo 11 was launched on 16 July 1969, and Neil Armstrong and Buzz Aldrin landed on the Moon on 20 July 1969. (It was a spacecraft, not an artificial satellite.)

The smallest number divisible by 6, 8, 12 and 16 is their LCM. 16 = 2⁴ and 6 = 2 × 3, so LCM = 2⁴ × 3 = 48.

In 1986 the Rajiv Gandhi government set up the L. M. Singhvi Committee on 'Revitalisation of Panchayati Raj Institutions for Democracy and Development'. It recommended constitutional status for PRIs, which came with the 73rd Amendment (1992).

The Western Ghats (Sahyadri) run parallel to India's west coast from Gujarat to Kerala. They are a UNESCO World Heritage Site and one of the world's eight 'hottest hotspots' of biodiversity.

Downstream speed = 16/2 = 8 km/h; upstream he covers 8 km in 2 hours, i.e. 4 km/h. Speed of the stream = (8 − 4)/2 = 2 km/h.

4 bits = 1 nibble (a – r), 1024 KB = 1 MB (b – p), 1024 TB = 1 PB (c – s), and 8 bits = 1 byte (d – q).

If the Official Secrets Act appears to be a major source of corruption, removing it is a reasonable course of action to curb corruption, so the official key treats I as following. Nothing suggests the government that enacted it in 1930 intended to encourage corruption, so II does not follow.

AMRUT, the Atal Mission for Rejuvenation and Urban Transformation (launched June 2015), is named after former PM Atal Bihari Vajpayee. It aims to improve water supply, sewerage and urban transport in cities.

A 400 m rope around a square gives a perimeter of 400 m, so each side is 100 m. Area = 100 × 100 = 10,000 m².

The statement lists who may apply, not who will be selected. Neither those yet to finish their MTech nor all MTech holders are guaranteed to be in the selected list, so neither conclusion follows.

100² − 90² = (100 − 90)(100 + 90) = 10 × 190 = 1900. So 19x² = 1900, x² = 100 and x = 10.

Novak Djokovic was appointed a UNICEF Goodwill Ambassador in 2011, supporting early-childhood education and children's welfare. The official key marks Djokovic.

Riding towards each other, they close the gap at 20 + 24 = 44 km/h. To go from 110 km apart to 22 km apart they must cover 88 km, which takes 88/44 = 2 hours.

Sarojini Naidu, poet and freedom fighter, was called the 'Nightingale of India' for her poetry. She was the first Indian woman President of the INC (1925) and the first woman Governor of an Indian state (UP).

CP of one orange = 3/10 = Rs 0.30 and SP of one orange = 3/8 = Rs 0.375. Gain = 0.075 on 0.30, i.e. 0.075/0.30 × 100 = 25%.

A route from Jaipur to Carlisle combines one route for each leg: 4 × 3 × 2 = 24 different routes.

Expenditure: January Rs 50,000, February Rs 1,00,000, March Rs 1,50,000. Average = (50,000 + 1,00,000 + 1,50,000)/3 = Rs 1,00,000.

In full-duplex communication both sides can send and receive at the same time, as in a telephone conversation. A walkie-talkie is half-duplex (one at a time), and radio and TV broadcasts are simplex (one way).

Combined daily work = 1/10 + 1/12 + 1/15 = (6 + 5 + 4)/60 = 15/60 = 1/4. Together they finish in 4 days.

Average 76 over 5 subjects means a total of 380. The other four marks add to 87 + 83 + 78 + 57 = 305, so the Maths mark x = 380 − 305 = 75.

SP = CP × 1.20, so CP = 72/1.2 = Rs 60.

Chemical symbols are one- or two-letter shorthand for elements (for example Cl for chlorine). The modern system of letter symbols was introduced by Jöns Jacob Berzelius around 1813, not by Chadwick and Thomson, so statement C is not true.

2 hours = 7,200 seconds. 12/7200 = 1/600.

In 2015 the BCCI appointed former Delhi High Court Chief Justice A. P. Shah as its first-ever Ombudsman to handle complaints and conflicts of interest.

In each cross, the centre number equals the sum of the four end numbers minus 2: 0 + 6 + 2 + 4 = 12 → 10, and 6 + 2 + 8 + 10 = 26 → 24. For the third, 4 + 14 + 10 + 12 = 40, so the centre is 38.

Total age = 20 × 10 + 25 × 12 = 200 + 300 = 500 years for 45 students. Average = 500/45 ≈ 11.11 years.

The cerebrum, the largest part of the brain, is the centre of intelligence, memory, thinking, reasoning and voluntary actions. The hypothalamus controls hunger, thirst and temperature.

Let the numbers be 3k and 4k. (3k − 3)/(4k − 3) = 2/3 gives 9k − 9 = 8k − 6, so k = 3. The numbers are 9 and 12, and their sum is 21.

For an equilateral triangle with side a, the inradius is a/(2√3) and the circumradius is a/√3. Their ratio is always 1 : 2, whatever the area.

Amount = P × (1.05)² = 1.1025P = 441, so P = 441/1.1025 = Rs 400.

Pushkar sits to Diana's right with Padma on her other side, and Mahesh is opposite Pushkar. Priyanka sits between Mahesh and Lucky, so going round: Pushkar, Diana, Padma, Mahesh, Priyanka, Lucky. Mahesh's neighbours are Padma and Priyanka.

In the circle Pushkar, Diana, Padma, Mahesh, Priyanka, Lucky (with each person's right being the previous name), the person just to the right of Padma is Diana.

With six people, each person faces the one three places away. In the order Pushkar, Diana, Padma, Mahesh, Priyanka, Lucky, Priyanka (5th) is opposite Diana (2nd).

Some pins are covers and all covers are pens, so some pins are pens, i.e. some pens are pins; (1) follows. 'Some cups are pins' converts to 'Some pins are cups'; (4) follows. Nothing connects covers with cups, and (3) contradicts the statements. So only (1) and (4).

A cap, a helmet and a turban are worn on top of the head. A veil covers the face, so it is the odd one out.

sin θ = 40/41, so cos θ = √(1 − 1600/1681) = 9/41. Then cot θ = cos θ/sin θ = 9/40.

The Mysore Palace (Amba Vilas Palace) in Mysuru, Karnataka, is the official residence of the Wodeyar dynasty. It is one of India's most visited monuments and is lit up during Dasara.

SCARCE → CSRAEC swaps each pair of letters: SC → CS, AR → RA, CE → EC. STABLE → ST, AB, LE → TS, BA, EL = TSBAEL.

'Some answers are videos' converts to 'Some videos are answers'; (1) follows. Those videos are all poems, so some answers are poems, i.e. some poems are answers; (4) follows. Images are linked only to answers, so (2) and (3) are not certain. Only (1) and (4).

From CHECK = 97294: C 9, H 7, E 2, K 4. From QUERY = 51238: Q 5, U 1, E 2, R 3, Y 8. CHERRY = C 9, H 7, E 2, R 3, R 3, Y 8 = 972338.

When blood vessels are injured, platelets release factors (thromboplastin) that help convert prothrombin into thrombin, which turns fibrinogen into a fibrin mesh that forms the clot. The official key marks prothrombin.

Light travels about 3 × 10⁵ km/s, and a year has about 3.15 × 10⁷ seconds, so in a year light covers about 9.46 × 10¹² km. This distance, one light-year, is roughly 10 trillion km.

The Montreal Protocol (1987) set out to phase out ozone-depleting substances such as CFCs; developed countries were to stop CFC production by 2000 (later brought forward to 1996), with developing countries given until 2010.

The INSAT satellites provide telecommunications, TV broadcasting (including relays to remote areas), meteorology and disaster warning. TV relay to remote areas is the objective among the options.

Force = change in momentum ÷ time. By moving his hands back with the ball, the fielder increases the time over which the ball stops, which reduces the force on his hands and lessens the sting.