RRB NTPC CBT 1 2016: उत्तरांसह प्रश्न

Apples lie inside leaves, and only some leaves are lemons, so we cannot say whether any apple is a lemon or a house. 'Some houses are apples' (I) and 'No house is apple' (III) cannot both be false: they form a complementary pair, so either I or III follows. II does not follow.

Each letter of TRIPPLE moves one step back (T→S, R→Q, I→H, P→O, P→O, L→K, E→D). EXOTIC: E→D, X→W, O→N, T→S, I→H, C→B = DWNSHB.

X-rays were discovered by the German physicist Wilhelm Conrad Röntgen in 1895; he won the first Nobel Prize in Physics (1901) for it.

Post-it notes and Scotch tape were developed at 3M (Minnesota Mining and Manufacturing Company), USA.

5x(x + 2) + 4x = 5x² + 10x + 4x = 5x² + 14x.

Cache memory is a very fast memory between the CPU and main memory (RAM) that stores frequently used data and instructions.

Using false weights by 11% both while buying and selling gives a total gain of (1.11 × 1.11 − 1) × 100 = 23.21%.

The two selling prices are CP × 1.02 and CP × 1.18, in the ratio 102 : 118 = 51 : 59. (The Rs 3 difference is not needed for the ratio.)

0.592 ÷ 0.8 = 5.92 ÷ 8 = 0.74.

The uncle of the boy's maternal uncle is Laura's maternal uncle, so the boy's maternal uncle is Laura's brother (both are children of the sister of that uncle). The boy's mother is then Laura's sister, so Laura is the boy's aunt: Aunt and Nephew.

69696 × 9999 = 69696 × 10000 − 69696 = 696960000 − 69696 = 696890304.

From RIPPLE = 613382: R 6, I 1, P 3, L 8, E 2. From PREACH = 362457: P 3, R 6, E 2. PILLER = 3 1 8 8 2 6 = 318826.

Together the holes empty 1/9 + 1/16 = 25/144 of the flask per minute, so they take 144/25 = 5 19/25 minutes.

Filmmaker Shekhar Kapur headed the international jury of the 46th International Film Festival of India (IFFI), Goa, in November 2015.

A sudden, unusual retreat of the sea from the beach, exposing the sea floor, is a natural warning that a tsunami wave may follow within minutes.

Replacing the signs: 6 × 7 ÷ 3 + 8 − 20. By BODMAS: 6 × 7 ÷ 3 = 14, then 14 + 8 − 20 = 2.

Argon makes up about 0.93% of the atmosphere, far more than the other noble gases (neon, helium, krypton). Nitrogen is not a rare gas.

Sukhvinder wants the present training replaced by methods that bring out the real merit of candidates, which implies the present programme does not do so (II follows) and that bringing out merit matters (so I does not follow).

Standard deviation = √variance = √196 = 14. It is never negative, so ±14 is wrong.

After the INA and the Japanese took the islands in 1943, Subhas Chandra Bose renamed the Andaman Islands 'Shaheed' and the Nicobar Islands 'Swaraj'.

4923 ÷ 547 = 9, and 9 − 10 = −1.

The Adam's apple is the bulge in the front of the throat formed by the thyroid cartilage of the larynx, which enlarges in boys at puberty.

India hosted the FIFA U-17 World Cup in October 2017, the first FIFA tournament held in India; England won it.

Sum = 1 + 1/2 + 1/2 + 3/4 + 1/4 + 2 + 1/2 + 1/4 + 3/4 = 6.5 over 9 values. Mean = 6.5/9 = 13/18.

Every value is doubled. Multiplying data by k multiplies the variance by k², so the new variance = 4 × 23.33 = 93.33.

CP = 22,100/0.85 = Rs 26,000. For a 15% profit, SP = 26,000 × 1.15 = Rs 29,900.

All pens are pencils, so some pencils are pens (IV follows). Trams are not mentioned (I fails), and nothing links ropes or erasers to pens with certainty (II and III fail). Only IV follows.

2/3 ≈ 0.667, 3/4 = 0.75 and 5/6 ≈ 0.833, so the ascending order is 2/3, 3/4, 5/6.

tan A = 15/8 gives sin A = 15/17, cos A = 8/17; tan B = 7/24 gives sin B = 7/25, cos B = 24/25. cos(A + B) = cos A cos B − sin A sin B = (192 − 105)/425 = 87/425.

In February 2015 the UK Parliament voted to allow mitochondrial donation ('three-parent' IVF), making Britain the first country to legalise it.

Maria Montessori's method is based on self-directed learning: children discover concepts themselves through hands-on activity and experiment.

Robert Dahl used 'polyarchy' for real-world democracies in which power is spread among many groups and people act both through elections and through the competition of interest groups.

8^(2/3) = (∛8)² = 2² = 4.

SI = 950 × 6 × 4/100 = Rs 228. Amount = 950 + 228 = Rs 1,178.

Total parts = 1 + 5 + 8 + 9 = 23, so 1 part = 368/23 = Rs 16. Shares: 16, 80, 128 and 144.

NASA's New Horizons flew past Pluto in July 2015 and then on to the Kuiper Belt object Arrokoth (2014 MU69) in 2019.

Raisins swell in water by osmosis: water moves through their skin (a semi-permeable membrane) from the water into the more concentrated sugary inside.

The 2014 Commonwealth Games were held in Glasgow, Scotland (United Kingdom); India finished fifth with 64 medals.

A rectangle looks the same after rotations of 180° and 360°, so its order of rotational symmetry is 2.

HCF × LCM = product of the numbers, so HCF = 2400/120 = 20.

Walking both ways takes 5 h 40 min, so one walk takes 2 h 50 min. Then one ride = 4 h 30 min − 2 h 50 min = 1 h 40 min, and riding both ways takes 3 h 20 min.

Most oral contraceptive pills combine synthetic progesterone (progestin) and estrogen derivatives, which prevent ovulation.

The two cyclists are 24 × 15/60 = 6 km apart. The woman meets them 10 minutes apart, so she and a cyclist close that 6 km gap in 1/6 hour: relative speed 36 km/h. Her speed = 36 − 24 = 12 km/h.

The Harappans worshipped a proto-Shiva (Pashupati), the mother goddess, animals, trees, birds and symbols such as the swastika. There is no evidence of Vishnu worship, which came later.

Starlight passes through layers of air whose temperature and density, and so refractive index, keep changing. The light is bent by varying amounts, so the star's apparent position and brightness flicker.

Figure X is symmetric about both its vertical and horizontal centre lines: each quarter is the mirror image of its neighbours. The missing bottom-right quarter must therefore be the mirror image of the bottom-left quarter (equivalently of the top-right one). Only option 2 has the petals, the half-circles and the corner bracket in those mirrored positions.

Nobel laureate Kailash Satyarthi, the child-rights campaigner, received Harvard's Humanitarian of the Year award for 2015.

Students liking at least one subject = 60 − 12 = 48. Both = 42 + 32 − 48 = 26. Only Maths = 42 − 26 = 16, which is 16/60 = 26.67% of the class.

Both = 42 + 32 − (60 − 12) = 74 − 48 = 26.

Only Maths = 42 − 26 = 16 and only English = 32 − 26 = 6, so 22 students like exactly one subject.

Golconda Fort, capital of the Qutb Shahi dynasty, is in Hyderabad, Telangana.

sec²x − 1 = tan²x. sin x = 4/5 gives cos x = 3/5, so tan²x = 16/9.

From PRABA = 27595: P 2, R 7, A 5, B 9. From HITAL = 68354: H 6, I 8, T 3, A 5, L 4. BHARATHI = 9 6 5 7 5 3 6 8 = 96575368.

2259 − 1757 = 502 = 2 × 251. 1757 = 7 × 251 and 2259 = 9 × 251, so the HCF is 251.

In November 2015 Belgium topped the FIFA world rankings for the first time in its history.

w² = 4 and √(z² + y²) = √(1/4 + 0) = 1/2. So the value is 4 × 1/2 = 2.

The grandson of Ram's mother is Ram's son (or nephew); the girl is his wife. So Ram is the girl's father-in-law.

The Calcutta High Court, set up on 1 July 1862 under the Indian High Courts Act, 1861, is India's oldest High Court; Bombay and Madras followed later that year.

Sublimation is the direct change from solid to gas without becoming a liquid, as with camphor, naphthalene and dry ice.

x − 3 = 3x + 7 gives −2x = 10, so x = −5.

Justice M. Fathima Beevi was the first Muslim woman judge in the higher judiciary and, in 1989, the first woman judge of the Supreme Court of India.

The vernal (spring) equinox in the northern hemisphere falls around 20–21 March, when the Sun is over the equator and day and night are about equal.

33800 ÷ 520 = 65, and 65 ÷ 5 = 13.

The solar wind and radiation pressure push a comet's gas and dust away from the Sun, so its tail always points away from the Sun.

Gandhi received the Kaiser-i-Hind gold medal for his ambulance work in South Africa; he returned it in 1920 in protest against the Jallianwala Bagh massacre and the Khilafat wrongs.

All monkeys are cats, so some cats are monkeys (3 follows). Windows lie outside monkeys, but cats that are not monkeys could be windows, so 1 and 2 fail; 4 reverses 'all monkeys are cats'. Only (3).

The missing top-left piece must fit its neighbours: the piece below has a knob pointing up, so the missing piece needs a socket at the bottom; the piece on the right has a socket on its left side, so the missing piece needs a knob on its right. Only option 2 (knobs left and right, sockets top and bottom) fits both.

Replacing the signs: 6 + 9 × 8 ÷ 3 − 20. 9 × 8 ÷ 3 = 24, so 6 + 24 − 20 = 10.

The Karla caves, with India's largest rock-cut Buddhist chaitya (1st century BCE), are near Lonavala in Maharashtra.

A 3D film shows two slightly different images. Polarised (or shutter) glasses send one image to each eye, and the brain merges them into a sense of depth.

The Narmada (and the Son) rise at Amarkantak in Madhya Pradesh. The Betwa rises in the Vindhyas, the Chambal near Mhow, and the Mahanadi near Sihawa in Chhattisgarh.

Justice M. Hidayatullah was Chief Justice of India (1968–70), acting President (1969) and Vice-President (1979–84), the only person to hold all three offices.

Each quarter of X has a diamond near its outer corner, and one circle runs round the centre through every quarter. The missing bottom-left quarter must have a diamond near its bottom-left corner and the circle's arc around its top-right corner (the centre of X). Only option 2 shows both.

Total taxes = 83 + 108 + 74 + 88 + 98 = 451 lakh. Total bonus = 3.00 + 2.52 + 3.84 + 3.68 + 3.96 = 17 lakh. Ratio = 451 : 17.

In 2001 fuel and transport cost 133 lakh and salary 336 lakh. 133/336 × 100 ≈ 39.58%.

2001 total = 336 + 133 + 3.68 + 36.4 + 88 = Rs 597.08 lakh.

The boy's mother's only daughter is the boy's sister, who is Rani's mother. So the boy is Rani's maternal uncle, and Rani is his niece (or nephew).

Karl Benz built the first practical petrol-engined motor car, the Benz Patent-Motorwagen, patented in 1886.

Ellen Johnson Sirleaf of Liberia, elected in 2005, was Africa's first democratically elected female head of state; she shared the 2011 Nobel Peace Prize.

Replacing the signs: 9 − 5 × 4 + 3 ÷ 2 = 9 − 20 + 1.5 = −9.5.

Diagonal = √(5² + 3²) = √34 cm. A length cannot be negative, so ±√34 is wrong.

The exterior angles of a polygon add up to 360°, so the number of sides = 360/72 = 5.

Thermal power burns coal and releases carbon dioxide, sulphur dioxide and fly ash. Solar, wind and bio-waste are cleaner, renewable sources.

The 10th G-20 summit was held in Antalya, Turkey, on 15–16 November 2015.

Hospitals exist but are poorly equipped, so equipping existing hospitals with good doctors and equipment is a sensible course of action (I follows). Nothing shows new hospitals are unnecessary (II does not follow).

Amount = 7500 × (1.05)² = 7500 × 1.1025 = Rs 8,268.75. Compound interest = 8,268.75 − 7,500 = Rs 768.75.

Sirimavo Bandaranaike became Prime Minister of Sri Lanka (Ceylon) in 1960, the world's first woman Prime Minister.

Sachin is between Bin and Ram (Bin–Sachin–Ram), Monty is right of Ram and Rony between Ram and Monty, so from the left: Bin, Sachin, Ram, Rony, Monty. Ram is in the middle.

The order is Bin, Sachin, Ram, Rony, Monty from the left, so second from the right is Rony.

The order is Bin, Sachin, Ram, Rony, Monty from the left, so second from the left is Sachin.

Replacing the signs: 3 ÷ 2 × 4 + 2 − 9 = 1.5 × 4 + 2 − 9 = 6 + 2 − 9 = −1.

An ecotone is a transition zone where two biomes or ecosystems meet, such as forest and grassland or a mangrove between land and sea; it often has high species diversity (the edge effect).

Rakshanth does twice Verma's work, so together they do three times Verma's daily work. If together they take 19 days, Verma alone takes 3 × 19 = 57 days.

Making debate classes compulsory is meant to cultivate interest, so it is assumed that some students will eventually become interested (II follows). It does not follow that interest can be created by force (I).

Bill Gates founded Microsoft in 1975 with his childhood friend Paul Allen in Albuquerque, New Mexico.

The numbers are 2 × 18 = 36 and 5 × 18 = 90. LCM = 18 × 2 × 5 = 180.

The International Astronomical Union officially recognises 88 constellations covering the whole sky.

In X the arrows run clockwise round the inner diamond, every outer corner has a shaded quarter-disc with an arc, and the centre has a shaded disc with a ring. The missing bottom-right quarter must have the arrows pointing down-left (continuing clockwise), the arrow line on the centre side of the diagonal, and corner marks at both its inner and outer corners. Only option 4 matches.

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

KINDLE → ELDNIK is the word written backwards. IMPOSING backwards is GNISOPMI.