RRB NTPC CBT 2 2017: উত্তরসহ প্রশ্ন

Co-prime numbers have HCF 1. HCF(12, 7) = 1, while 21 and 42 share 21, 3 and 9 share 3, and 43 and 129 share 43 (129 = 3 × 43).

Take the salaries as 4x and 3x. After the raises: 4x × 1.10 = 4.4x and 3x × 1.05 = 3.15x. The ratio is 4.4 : 3.15 = 440 : 315 = 88 : 63.

The Home Rule Leagues of Bal Gangadhar Tilak (1916) and Annie Besant (1916) worked within the national movement as auxiliary units of the Indian National Congress, demanding self-government.

Future payments are moving to wireless technology – mobile banking, UPI, NFC contactless cards and mobile wallets – so 'wireless' best completes the sentence.

Purnima Devi Barman, an Assamese wildlife biologist who leads community efforts ('Hargila Army') to save the Greater Adjutant stork, won the RBS Earth Heroes Award 2016.

The Atharvaveda contains charms and remedies for diseases and is regarded as the source of Ayurveda.

HORSE → SERHO takes letters 4, 5, 3, 1, 2 (S, E, R, H, O). Applying this to CURSE (C1 U2 R3 S4 E5) gives S, E, R, C, U = SERCU.

Together they do 1/15 + 1/20 = 4/60 + 3/60 = 7/60 of the work per day. In 5 days they finish 35/60 = 7/12, leaving 5/12 unfinished.

An Admiral is the highest rank in the Navy; the matching top rank in the Indian Air Force is Air Chief Marshal.

Statement I says today's index is below the lowest level of the last 3 years, and III gives that lowest level as 27,125. Together they show the index is below 27,125 – enough for an overall assessment. Statement II is not needed.

At the time of the exam Indian Railways had a little over 7,000 stations, so 'about 8,000' is the closest option.

From TEACHER = 8412745: T = 8, E = 4, A = 1, C = 2, H = 7, R = 5. So CHEATER = 2 7 4 1 8 4 5 = 2741845.

157, 571 and 599 are prime numbers. 387 = 3 × 3 × 43 is not prime, so it is the odd one.

Each box cost 9600/8 = Rs 1200. Profit on 5 boxes = 5 × 120 = 600; loss on 3 boxes = 3 × 120 = 360. Net gain = 240, and 240/9600 × 100 = 2.5%.

Hubble's Law (1929) states that galaxies recede at speeds proportional to their distance from us – evidence that the universe is expanding. It belongs to astronomy.

In April 2016 the NGT suspended the clearance for the Nyamjang Chhu hydropower project in Tawang, Arunachal Pradesh, because the area is a wintering habitat of the vulnerable black-necked crane.

GSAT-18, launched on 6 October 2016 by Ariane 5 from French Guiana, is a communication satellite carrying 48 transponders.

Majuli, a large river island in the Brahmaputra, was made a separate district of Assam in 2016 – India's first island district.

In MS Word a double-click selects a word and a triple-click selects the whole paragraph.

Colombian President Juan Manuel Santos received the 2016 Nobel Peace Prize for his efforts to end the 50-year civil war with the FARC rebels.

The number must be divisible by LCM(6, 5, 4) = 60. The next multiple of 60 after 1456 is 1500 (60 × 25), so 1500 − 1456 = 44 must be added.

Snake, lizard and crocodile are all reptiles; 'reptile' is the class they belong to, so it is the odd one.

Girls = 135/3 = 45 and boys = 90. Failed: 90/6 + 45/3 = 15 + 15 = 30, so 105 passed. 105/135 × 100 = 77.78%.

Let p = 4k and q = 3k. Their LCM is 12k = 36, so k = 3. Then p = 12, q = 9 and p + q = 21.

Each letter of EIMQUY moves 2 places back to give CGKOSW. Moving each letter of BFJNRV 2 places back gives Z, D, H, L, P, T = ZDHLPT.

SP = 1.13 × CP, so CP = 27120/1.13 = Rs 24,000.

SI for 2 years at 10% is 4000, so P = 4000/(0.10 × 2) = Rs 20,000. CI = 20000 × (1.1² − 1) = 20000 × 0.21 = Rs 4,200, which is Rs 200 more.

The two selling prices differ by 9% − 7% = 2% of the cost price. 2% of CP = 190, so CP = Rs 9,500.

The only son of the lady's grandfather is her father. The son of her father is her brother.

Neymar is Brazilian. Gabriel Batistuta, Marcos Rojo and Lionel Messi are Argentine footballers.

Swapping ÷ and × gives 16 − 24 ÷ 2 × 10 + 104 = 16 − 120 + 104 = 0, which balances.

From I and II: 3 shifts × 13 wards × 2 nurses = 78 nurses at minimum. Statement III is about the town, not the hospital, so I and II are sufficient.

Rice is a major source of carbohydrate; sprouts (sprouted pulses and grams) are a rich source of protein.

WWF was founded in 1961 as the World Wildlife Fund. Outside North America it is now called the World Wide Fund for Nature, keeping the initials WWF.

A Ponzi scheme is an investment fraud that pays earlier investors with money from new investors rather than real profits. It is named after Charles Ponzi.

Absolute zero, 0 K, is the lowest possible temperature, about −273 °C (exactly −273.15 °C).

Minicoy, Kavaratti and Amini are Lakshadweep islands. Neil Island (now Shaheed Dweep) is in the Andaman and Nicobar Islands.

6 mangoes = 4 apples, so an apple costs 1.5 mangoes. 8 apples = 2 jackfruits, so a jackfruit costs 4 apples. Mango < apple < jackfruit, so 'an apple is not as costly as a mango' is NOT true.

1 man = 2 women, so 10 men + 5 women = 25 women, and the work = 25 × 60 = 1500 woman-days. 5 men + 20 women = 30 women, so half the work (750) takes 750/30 = 25 days.

In July 2016 Russian adventurer and priest Fedor Konyukhov flew solo round the world in a hot-air balloon in about 11 days, a world record.

TIFF, PNG and PCX are bitmap (raster) image formats. ODT is the OpenDocument Text format used by word processors.

All men are mechanics, so some mechanics are men (I follows). All mechanics are engineers, so some engineers are mechanics (II follows). Both follow.

The work = 15 × 60 = 900 person-days. With 20 persons it takes 900/20 = 45 days, i.e. 15 days earlier.

R→S (+1), M→L (−1), S→U (+2), K→I (−2). Applying the same steps to KMFZ: K→L, M→L, F→H, Z→X = LLHX.

The Rowlatt Act was passed in March 1919, allowing detention without trial. Protest against it led to the Jallianwala Bagh massacre on 13 April 1919.

CI = P(1.2² − 1) = 0.44P = 5280, so P = Rs 12,000.

2 pants + 4 shirts = 1 pant + 6 shirts, so 1 pant = 2 shirts. Then 8 shirts' worth = 5600, so a shirt costs Rs 700. Selling 10 shirts for 6000 means Rs 600 each – a loss of Rs 100 per shirt.

They meet 120 km from B, i.e. 360 − 120 = 240 km from A. Train P covers 240 km at 60 km/h in 4 hours, so they meet at 2 PM. Train Q, starting at 11 AM, covers 120 km in 3 hours, so its speed is 40 km/h.

Under Article 157, a person must be an Indian citizen who has completed 35 years of age to be appointed Governor.

Combining the clues: Harish < Alpesh < Yogesh < Dharmesh < Ramesh < Suresh < Rajesh. Harish is the shortest.

The order of the seven by height is Harish, Alpesh, Yogesh, Dharmesh, Ramesh, Suresh, Rajesh. The 4th person, Dharmesh, is in the middle.

The words are CLOVE, CHILLY, CLOTH and CUMIN. Clove, chilly and cumin are spices; CLOTH (HLTCO) is different.

Replacing the symbols: 9 × 3 + 22 − 52 + 85 ÷ 17 = 27 + 22 − 52 + 5 = 2.

Khangchendzonga National Park in Sikkim was inscribed in July 2016 as India's first 'mixed' (natural and cultural) World Heritage Site.

The Leader of the House in Lok Sabha is the Prime Minister if he or she is a member of the House, or otherwise a minister nominated by the Prime Minister.

Tropism is the directional growth of a plant part in response to a stimulus – towards light (phototropism), gravity (geotropism) or water (hydrotropism).

As square roots: 2√11 = √44, 4√3 = √48, 3√5 = √45 and 5√2 = √50. Descending: √50, √48, √45, √44, i.e. 5√2, 4√3, 3√5, 2√11.

28% of the salary is Rs 8960, so the salary = 8960/0.28 = Rs 32,000.

Geni is the mother of Rita and Rosy, and Vaz is Rita's father, so Vaz is also Rosy's father. Sam is Rosy's husband, which makes Vaz his father-in-law.

Pranab Mukherjee was sworn in on 25 July 2012 as the 13th President of India, succeeding Pratibha Patil.

Payments banks may accept deposits (up to a limit), offer remittances and sell simple insurance and mutual funds, but they cannot lend money or issue credit cards.

Interest = 5000 × 4 × r/100 + 4000 × 5 × r/100 = 200r + 200r = 400r. Setting 400r = 2400 gives r = 6%.

Scientists warned that the 2016 Uttarakhand forest fires released large amounts of black carbon (soot), which settles on Himalayan glaciers and speeds up their melting.

In August 2016 a British-era bunker with several rooms was discovered under the Raj Bhavan at Malabar Hill in Mumbai, Maharashtra.

Escape velocity from Earth's surface, the minimum speed needed to escape its gravity, is about 11.2 km/s.

Indra Nooyi was Chairperson and CEO of PepsiCo from 2006 to 2018.

West Bengal borders Bangladesh, Nepal and Bhutan; Punjab borders Pakistan; Himachal Pradesh borders China (Tibet). Haryana has no international border.

The code is the sum of letter positions: EAR = 5 + 1 + 18 = 24 and EYE = 5 + 25 + 5 = 35. LEG = 12 + 5 + 7 = 24.

Wavelength, amplitude and frequency are properties of a wave. The medium is what a mechanical wave travels through; it is not a characteristic of the wave, and light needs no medium at all.

Birds fly in the sky, and in this code 'sky' is called 'fire'. So the answer is fire.

Circumference = 2πr, so the increase = 2π × 7 = 2 × 22/7 × 7 = 44 cm.

3/5 = 0.6 and 7/8 = 0.875. 6/7 ≈ 0.857 lies between them; 8/9 ≈ 0.889 and 12/13 ≈ 0.923 are too large and 4/7 ≈ 0.571 is too small.

The antiparticle of the electron is the positron – same mass, but positive charge. It was predicted by Dirac and discovered by Anderson in 1932.

sin 45° and cos 45° are equal (1/√2), so they cancel. The expression becomes sin 30°/cos 30° = tan 30° = (1/2)/(√3/2) = 1/√3.

Every real number corresponds to exactly one point on the number line and every point to one real number, so the statement that a real number need not be a point on the number line is NOT true.

Let x = a/m and y = b/n. Then 2x + y = 2 and x − y = 4. Adding: 3x = 6, so x = 2 and y = −2. Hence a = 2m and b = −2n.

2/3 × 3/5 × N = 2N/5 = 42, so N = 105. One-third of 105 = 35.

Gyroscopic sensors are used in smartphones (orientation), some air mice and in vehicles for stability control. An inkjet printer works without a gyroscope.

120 appears 4 times, more than any other value (100 appears 3 times), so the mode is 120.

Discount = 90 − 76 = Rs 14. Discount % = 14/90 × 100 ≈ 15.56%.

Company II hired 2400; colleges P, R and S together account for 27 + 25 + 18 = 70%. 70% of 2400 = 1680.

From R: Company II = 25% of 2400 = 600, Company III = 25% of 1500 = 375. Difference = 225.

From P: 24% of 1800 + 27% of 2400 + 32% of 1500 = 432 + 648 + 480 = 1560. From S: 288 + 432 + 345 = 1065. Difference = 495.

Company III from P = 32% of 1500 = 480. Company I from Q = 32% of 1800 = 576. Difference = 96.

The Brihadeeswara Temple at Thanjavur, Tamil Nadu, was built by Chola king Rajaraja I in about 1010 CE and is a UNESCO World Heritage Site.

Wular Lake in Jammu and Kashmir, fed by the Jhelum, is India's largest freshwater lake and one of the largest in Asia. Sambhar is salt and Chilika is brackish.

If adversity is the best teacher, it gives opportunities to learn – II follows. Adversity is not the same as poverty, so I does not follow.

8 of the 85 read neither, so 85 − 8 = 77 read novels or poems (or both).

n(N ∩ P) = n(N) + n(P) − n(N ∪ P) = 45 + 37 − 77 = 5.

For identical batches of one nationality each with nobody left out, the batch size must divide 111, 407 and 259. HCF(111, 407, 259) = 37 (111 = 3 × 37, 407 = 11 × 37, 259 = 7 × 37), so each batch has 37 persons.

Dr. Urjit R. Patel took charge as the 24th Governor of the RBI on 4 September 2016, succeeding Dr. Raghuram Rajan.

Rate = SI × 100/(P × T) = 2040 × 100/(8500 × 3) = 8% per annum.

Peripherals are external devices connected to the computer – printer, keyboard, monitor. The CPU is the core of the computer itself, not a peripheral.

The statements tell us about dogs (black) and cats (white) only. So some animals (dogs) are black and some (cats) are white. Nothing can be said about all animals or about brown ones.

G. V. Mavalankar was the first Speaker of the Lok Sabha (1952–1956). M. A. Ayyangar succeeded him.

The Delhi Sultanate dynasties – Slave, Khilji, Tughlaq, Sayyid and Lodi – used the title Sultan. The Mughal rulers called themselves Padshah (Badshah), not Sultan.

The Hangul, or Kashmir stag, is a critically endangered red deer found in Dachigam National Park; it is the state animal of J&K.

The statement links not appreciating music with becoming a mathematician, implying that music and mathematics do not go together. It says nothing about mathematics being easy, about the majority of mathematicians, or that no musician can ever become a mathematician.

Chile won the Copa América Centenario in June 2016, beating Argentina on penalties in the final in the USA.

RailTel Corporation of India, set up in 2000 under the Ministry of Railways, is a Public Sector Undertaking providing telecom and broadband services along railway tracks.

C is Q's mother and P is C's father, so Q is P's grandchild. Q's gender is not given (A being Q's sister says nothing about Q), so grandson or granddaughter cannot be determined.

Anjali Bhagwat is a former world No. 1 Indian rifle shooter. Sudha Singh and Lalita Babar are steeplechase runners.

INS Arihant is India's first indigenous nuclear-powered ballistic missile submarine (SSBN), commissioned in 2016.

The numbers are (42 + 4)/2 = 23 and (42 − 4)/2 = 19. Their product = 437.

Area = 4b × b = 4b² = 256, so b² = 64 and b = 8 m. Length = 4 × 8 = 32 m.

A total solar eclipse occurs at new moon when the Sun, Moon and Earth are in a straight line, and the Moon is close enough to cover the Sun's disc completely.

A high tide is a water movement typical of the sea; an undercurrent is a water movement found in a river.

Thirukkural by Thiruvalluvar is a classic Tamil work. Ratnavali (Harsha), Rajatarangini (Kalhana) and Meghaduta (Kalidasa) are in Sanskrit.

With = × − +: 14 = 9 × 3 − 19 + 6 = 27 − 19 + 6 = 14, which balances.

Upstream speed = 12 − 3 = 9 km/h and downstream = 15 km/h. Time = 135/9 + 135/15 = 15 + 9 = 24 hours.

The hypothalamus is part of the brain, above the pituitary gland. It controls body temperature, hunger, thirst and the pituitary's hormones.

30 = 6 × 5 (a number times one less than itself). So 7 → 7 × 6 = 42.

5² + 12² = 13², so this is a right triangle with legs 5 and 12. Area = ½ × 5 × 12 = 30 sq cm.

ISRO was founded on 15 August 1969, taking over from INCOSPAR (set up in 1962).

Speed of M = 120 km ÷ 2.5 h = 48 km/h. W is half as fast: 24 km/h.

RailWire is the retail broadband service of RailTel Corporation, using its optical fibre network along the railway tracks.

The Australia Act 1986 removed the remaining powers of the UK Parliament and courts over Australia, formally ending British legal authority there.

Each term is n³ − 2: 3³ − 2 = 25, 4³ − 2 = 62, 5³ − 2 = 123, 6³ − 2 = 214. Next: 7³ − 2 = 341.

26/21 ÷ 24/9 = 26/21 × 9/24 = 13/28. So k ÷ 14/13 = 13/28, giving k = 13/28 × 14/13 = 1/2.

The median depends only on the middle value(s) of the ordered data, not on every observation (that is a feature of the mean). So 'it is based on all observations' does not describe the median.