रिकामी जागा भरा: 0, 2, 6, ______, 20, 30, 42
उत्तर दाखवा आणि स्पष्टीकरण
उत्तर: (A) 12
The terms are n(n − 1): 0, 2, 6, 12, 20, 30, 42 (differences 2, 4, 6, 8, 10, 12). The blank is 12.
RRB NTPC CBT-II Official Paper (Held On: 19 Jan 2017 Shift 3) · 120 प्रश्न. प्रत्येक प्रश्न सोडवून पाहा, मग त्याचे उत्तर उघडा.
उत्तर: (A) 12
The terms are n(n − 1): 0, 2, 6, 12, 20, 30, 42 (differences 2, 4, 6, 8, 10, 12). The blank is 12.
उत्तर: (C) केरळ
Kerala hosted the 35th National Games from 31 January to 14 February 2015, with Thiruvananthapuram as the main venue.
उत्तर: (D) कारचा वेग सतत बदलत आहे
Constant acceleration means the velocity changes by the same amount every second – the velocity keeps changing while the acceleration itself stays constant and non-zero.
उत्तर: (C) निर्वासितांसाठी संयुक्त राष्ट्रांचे उच्चायुक्त
UNHCR is the Office of the United Nations High Commissioner for Refugees, the UN Refugee Agency, set up in 1950.
उत्तर: (D) पवन कुमार अग्रवाल
IAS officer Pawan Kumar Agarwal was appointed CEO of the Food Safety and Standards Authority of India (FSSAI) in December 2015.
उत्तर: (A) 20%
Gain = 30 − 25 = Rs 5, and 5/25 × 100 = 20%.
उत्तर: (C) तमु मासिफ
Tamu Massif, an extinct underwater shield volcano in the north-west Pacific, was identified in 2013 as the largest single volcano on Earth by area.
उत्तर: (B) 26, 65 & 78
Total parts = 2 + 5 + 6 = 13, so one part = 169/13 = Rs 13. Shares: 26, 65 and 78.
उत्तर: (C) 53269
From PALE = 5293: P = 5, A = 2, L = 9, E = 3. From EARTH = 32681: R = 6. So PEARL = 5 3 2 6 9 = 53269.
उत्तर: (D) वास्तविक
Real numbers consist of the rational and the irrational numbers, so every irrational number (√2, π) is real.
उत्तर: (A) 42.1
3 min 20 s = 200 s costs Rs 25.50, so 5 min 30 s = 330 s costs 25.50 × 330/200 = Rs 42.075 ≈ Rs 42.1.
उत्तर: (A) 30
The fourth proportional x satisfies 12 : 18 = 20 : x, so x = 18 × 20/12 = 30.
उत्तर: (D) \(\frac{324}{5}\)
3.24 × 4 = 12.96, and 12.96 ÷ 0.2 = 64.8 = 324/5.
उत्तर: (A) विरघळलेले ऑक्सिजन
Dissolved oxygen is the key indicator of a water body's health: aquatic life needs it, and organic pollution lowers it by raising the biological oxygen demand.
उत्तर: (A) झेनॉन
Xenon gets its name from the Greek 'xenos', meaning stranger or foreigner, so it is called the stranger gas.
उत्तर: (A) दोन्ही विधाने एकत्र आवश्यक आहेत.
With 25 students and 8 scoring below her, Rashmi's rank = 25 − 8 = 17. Neither statement alone gives this, so both are needed.
उत्तर: (B) 35.29
He receives 1150 g when buying 1 kg and gives only 850 g when selling 1 kg. His money grows by a factor of 1150/850 ≈ 1.3529, a gain of about 35.29%.
उत्तर: (C) 17600/7
The height is 2 m = 200 cm. Volume = πr²h = 22/7 × 2² × 200 = 17600/7 cubic cm.
उत्तर: (D) 1 एप्रिल 1989
The Jawahar Rozgar Yojana, a wage-employment programme for the rural poor, was launched on 1 April 1989 by merging NREP and RLEGP.
उत्तर: (D) रोस्कोस्मोस, रशिया
ExoMars is a joint programme of the European Space Agency and Russia's Roscosmos. Its Trace Gas Orbiter was launched in March 2016.
उत्तर: (B) 0
10584 ÷ 168 = 63, so 63 − 63 = 0.
उत्तर: (C) \(\frac{2}{7}, 0.3, \frac{4}{9}\)
As decimals: 2/7 ≈ 0.286, 0.3 and 4/9 ≈ 0.444. Ascending: 2/7, 0.3, 4/9.
उत्तर: (A) वर्धा
The Pranhita is formed by the Wardha and Wainganga rivers (the Wardha having received the Penganga) and is the largest tributary of the Godavari.
उत्तर: (C) 120
Boys = 2/5 × 200 = 80, so girls = 200 − 80 = 120.
उत्तर: (A) तमिळनाडू
The Meenakshi Amman Temple, dedicated to Meenakshi (Parvati) and Sundareswarar (Shiva), is in Madurai, Tamil Nadu.
उत्तर: (C) 3
sin x = 4/5 gives cos x = 3/5. sec x = 5/3 and tan x = 4/3, so sec x + tan x = 9/3 = 3.
उत्तर: (C) भारोत्तोलन
According to the official RRB key, Korada Ramana is associated with weightlifting.
उत्तर: (C) 700
Subscribers to at least one paper = 5000 − 1200 = 3800. Both = 2700 + 1800 − 3800 = 700.
उत्तर: (B) 2000
The Indian Express only = 2700 − 700 (both) = 2000.
उत्तर: (C) ठिकाण
'When' asks about time; 'where' asks about place.
उत्तर: (D) EGI
Each group has letters 2 apart, and each group starts 6 letters after the previous one: M, S, Y, E (wrapping round). The next group is E, G, I = EGI.
उत्तर: (D) केरळ
Mohiniyattam, a graceful solo dance traditionally performed by women, is a classical dance form of Kerala.
उत्तर: (D) 15,435 रुपये
Quarterly compounding at 20% a year means 5% per quarter, and 6 months = 2 quarters. Amount = 14000 × 1.05² = 14000 × 1.1025 = Rs 15,435.
उत्तर: (B) डिसेंबर 1997
The Kyoto Protocol was adopted at the Kyoto Climate Change Conference (COP 3) in December 1997.
उत्तर: (B) 3.5
Sum = 8 + 0 + 3 + 3 + 1 + 7 + 4 + 1 + 4 + 4 = 35. Mean = 35/10 = 3.5.
उत्तर: (A) क्षोभमंडल - स्Stratटोस्फियर - मध्यावरण - थर्मोस्फियर
Moving up from the surface: troposphere, stratosphere (with the ozone layer), mesosphere, then thermosphere.
उत्तर: (C) Bramble Cay melomys
The Bramble Cay melomys, a rodent from a tiny Great Barrier Reef island, was reported in 2016 as the first mammal driven extinct by human-induced climate change (sea-level rise).
उत्तर: (D) एका ट्रेनचे नाव
TUROOND rearranges to DURONTO, the name of Indian Railways' non-stop express trains.
उत्तर: (A) I किंवा II कोणीही अनुसरण करत नाही
The statement is about Ayurveda's popularity in the West. It says nothing about its popularity in India or about allopathy, so neither conclusion follows.
उत्तर: (B) टेन डिग्री चॅनेल
The Ten Degree Channel, about 150 km wide, separates the Andaman Islands from the Nicobar Islands. The Nine Degree Channel separates Lakshadweep from Minicoy.
उत्तर: (A) अगस्त्यमाला बायोस्फीअर रिझर्व्ह
In March 2016 UNESCO added the Agasthyamala Biosphere Reserve in the Western Ghats (Kerala–Tamil Nadu) to its World Network of Biosphere Reserves.
उत्तर: (C) 8.4 दिवस
The work is 18 × 7 = 126 man-days. With 15 men it takes 126/15 = 8.4 days.
उत्तर: (B) 126
Each term is n³ + 1: 0 + 1, 1 + 1, 8 + 1, 27 + 1, 64 + 1. Next: 125 + 1 = 126.
उत्तर: (D) नरेन
Kamal < Govind < Ashish and Naren < Kamal, so Naren is shorter than Kamal, Govind and Ashish. Naren < Jeyanth too. Naren is the shortest.
उत्तर: (A) कमल गोविंदपेक्षा लहान आहेत.
Statement (i) says Govind is taller than Kamal, so 'Kamal is shorter than Govind' is certain. Jeyanth's position relative to Govind and Kamal is not fixed, so the other options cannot be deduced.
उत्तर: (D) आशिष
Ashish is taller than Govind (and so Kamal and Naren) and taller than Jeyanth, so Ashish is the tallest.
उत्तर: (A) केवळ निष्कर्ष II अनुसरण करतो
All caps are books and all books are pens, so all caps are pens – I is false. Since all caps are pens, some pens are caps – II follows.
उत्तर: (C) केवळ निष्कर्ष II अनुसरण करतो
The statement says the Industrial Revolution brought about the modern age, i.e. a revolution transforms (overhauls) society – II follows. Nothing is said about disparity between rich and poor causing revolutions.
उत्तर: (A) कृष्णा
The Almatti Dam is on the Krishna river in Bijapur (Vijayapura) district, Karnataka, part of the Upper Krishna Project.
उत्तर: (D) 53
Replacing the letters: 18 × 12 ÷ 4 + 5 − 6 = 216 ÷ 4 + 5 − 6 = 54 − 1 = 53.
उत्तर: (D) ऑप्टिकल डिस्क
A DVD stores data as pits read by a laser, so it is an optical disk, like a CD or Blu-ray.
उत्तर: (A) 35
HCF = product ÷ LCM = 3360/96 = 35.
उत्तर: (B) 10,000 रुपये
The RBI printed Rs 10,000 notes in 1938 and again in 1954; they were demonetised in 1946 and 1978. This is the highest denomination it has ever printed.
उत्तर: (A) मिशन 'शून्य अपघात'
Railway Minister Suresh Prabhu launched Mission 'Zero Accident' (2016–17 Rail Budget) to eliminate unmanned level crossings and add train-protection systems.
उत्तर: (C) चंद्रयान-1
Chandrayaan-1, launched in October 2008, was India's first lunar mission and helped discover water molecules on the Moon.
उत्तर: (A) सातवी
Win rates: First 5/8, Second 4/8, Third 5/7, Fourth 6/9, Fifth 4/6, Sixth 3/6, Seventh 2/6. The seventh (33%) was the worst.
उत्तर: (C) 29
Total wins = 5 + 4 + 5 + 6 + 4 + 3 + 2 = 29.
उत्तर: (A) तिसरी
The third tournament has the best win rate: 5 out of 7 ≈ 71%.
उत्तर: (A) 58%
29 wins out of 50 matches (8 + 8 + 7 + 9 + 6 + 6 + 6) = 58%.
उत्तर: (D) 7 > 7 < 7 + 7 = 14
Decoding option 4: 7 + 7 − 7 ÷ 7 < 14, i.e. 14 − 1 = 13 < 14, which is true. For example option 1 becomes 9 ÷ 9 + 9 < 9, i.e. 10 < 9, which is false.
उत्तर: (C) सिक्किम
Losoong (Namsoong), the Sikkimese New Year and harvest festival of the Bhutia and Lepcha communities, is celebrated in Sikkim.
उत्तर: (A) प्रेक्षक
A speaker is heard by a listener; a film is watched by a viewer.
उत्तर: (B) संसदेच्या दोन्ही सभागृहांचे निर्वाचित सदस्य
Under Article 66 the Vice-President is elected by an electoral college of the members of both Houses of Parliament (the nominated members also vote). Of the options, election by the members of both Houses is correct.
उत्तर: (D) 7 तास 20 मिनिटे
Walking both ways takes 12 h 20 min, so one way on foot = 6 h 10 min. Running one way = 9 h 50 min − 6 h 10 min = 3 h 40 min, so running both ways = 7 h 20 min.
उत्तर: (B) सोने
Diamond is the hardest natural substance, and in this code diamond is called gold.
उत्तर: (B) ओडिशा
Anwesha, launched by the Odisha government in 2015, places tribal (ST) and SC students in good private schools in urban areas, with hostel support.
उत्तर: (D) \(6 \dfrac{2}{3}\)
Buses 5 minutes apart at 10 km/h are 10 × 5/60 = 5/6 km apart. Meeting them every 3 minutes: (10 + v) × 3/60 = 5/6, so 10 + v = 50/3 and v = 20/3 = 6 2/3 km/h.
उत्तर: (A) अजिबात साम्य नाही
Kathak, Kathakali and Bharatanatyam are classical dances from different regions, but Madhubani is a folk painting style of Bihar, not a dance. There is no common similarity.
उत्तर: (C) 530
Under Article 81 the Lok Sabha has not more than 530 members directly elected from the states and not more than 20 from the Union Territories.
उत्तर: (B) 26 ∶ 27
With cost price C, the selling prices are 1.04C and 1.08C. Ratio = 104 : 108 = 26 : 27.
उत्तर: (D) Qualify
All start with 'Qua'. The fourth letter is l in Qualify and r in the others; l comes before r, so Qualify is first.
उत्तर: (D) स्पेशली मॉडिफाईड एस्थेटिक रिफ्रेशिंग ट्रॅव्हल (SMART)
The 2016 Rail Budget proposed SMART (Specially Modified Aesthetic Refreshing Travel) coaches with features such as bio-vacuum toilets, vending machines and better interiors.
उत्तर: (D) शिक्षक
A tailor, a carpenter and a goldsmith make physical products with their hands (clothes, furniture, jewellery). A teacher provides a service.
उत्तर: (D) चीन
China passed its first counter-terrorism law in December 2015, giving security agencies wide powers, including over technology companies.
उत्तर: (C) 744
SI = 600 × 6 × 4/100 = Rs 144. Amount = 600 + 144 = Rs 744.
उत्तर: (C) पॅच (Patch)
A patch is a piece of code applied to installed software to fix bugs or security holes.
उत्तर: (B) 0
Decoding (+ → ×, ÷ → +, − → ÷, × → −): the numerator becomes (36 − 4) ÷ 8 − 4 = 4 − 4 = 0, and the denominator 4 × 8 − 16 + 1 = 17. The value is 0/17 = 0.
उत्तर: (B) कारण भारतीयांना आयोगातून वगळण्यात आले होते
The Simon Commission (1927), sent to review India's constitutional reforms, had seven British members and no Indian. It was boycotted with the slogan 'Simon Go Back'.
उत्तर: (B) जोश हेझलवूड
Australian fast bowler Josh Hazlewood was named the ICC Emerging Player of the Year 2015.
उत्तर: (D) 3
Let each part be d km. Time = d/2 + d/4 + d/6 = d(6 + 3 + 2)/12 = 11d/12 hours. This equals 55 minutes = 11/12 hour, so d = 1 and the total distance = 3 km.
उत्तर: (A) रिलायन्स इंडस्ट्रीज लिमिटेड
The Justice A.P. Shah Committee examined ONGC's complaint that Reliance Industries had drawn gas from ONGC's adjoining blocks in the Krishna–Godavari basin; it found Reliance had been unjustly enriched (2016).
उत्तर: (D) पश्चिम बंगाल
The Saha Institute of Nuclear Physics, named after Meghnad Saha, is in Kolkata, West Bengal.
उत्तर: (A) एप्रिल 2010
Article 21A (added in 2002) and the Right of Children to Free and Compulsory Education Act, 2009 came into force on 1 April 2010.
उत्तर: (D) सार्वजनिक निवडणुकीत मतदान करणे
Article 51A lists duties such as safeguarding public property, preserving our composite culture and cherishing the ideals of the freedom struggle. Voting is a right, not a fundamental duty.
उत्तर: (B) CPI (ग्राहक किंमत, निर्देशांक, ग्रामीण आणि शहरी, एकत्रित)
On the Urjit Patel Committee's recommendation, in 2014 the RBI adopted the new CPI (combined, rural and urban) as the key measure of inflation, replacing WPI.
उत्तर: (D) 27P
Numbers 3, 6, 11, 18 increase by 3, 5, 7, so next is +9 = 27. Letters F, G, I, L increase by 1, 2, 3, so next is +4 = P. The term is 27P.
उत्तर: (D) x^2 + 5y^2
(3y)² + x² − (2y)² = 9y² + x² − 4y² = x² + 5y².
उत्तर: (A) भगवंत सिंग बिश्नोई
Career diplomat Bhagwant Singh Bishnoi took charge as India's Ambassador to Thailand in January 2016.
उत्तर: (D) 8610 रुपये
The first Rs 4000 grows for 2 years: 4000 × 1.05² = 4410. The second grows for 1 year: 4200. Total = Rs 8610.
उत्तर: (D) एन्सेलाडस
In 2015 NASA's Cassini data showed that Saturn's moon Enceladus has a global liquid-water ocean beneath its icy crust.
उत्तर: (D) कोणतेही निष्कर्ष I किंवा II अनुसरण करत नाही
Both statements are 'some' statements linked through birds, so no definite relation between ducks and cows follows. Neither conclusion follows.
उत्तर: (A) 530.4 रुपये
CI = 6500 × (1.04² − 1) = 6500 × 0.0816 = Rs 530.40.
उत्तर: (D) उत्पादक
Producers (green plants) form the base of the food pyramid and are the most numerous; numbers fall at each higher trophic level.
उत्तर: (C) 48
The code is the sum of letter positions: G = 7 and EXCEL = 5 + 24 + 3 + 5 + 12 = 49. ACCEPT = 1 + 3 + 3 + 5 + 16 + 20 = 48.
उत्तर: (B) सस्तन प्राणी
Elephants, bears and rhinos are warm-blooded, have hair and feed their young with milk – they are mammals.
उत्तर: (B) फ्रेंच गयाना
INSAT-2E was launched in April 1999 by an Ariane 4 rocket from Kourou, French Guiana.
उत्तर: (C) 84
If Vishal does 1 unit a day, Rajesh does 2, so together 3. The work = 3 × 28 = 84 units, and Vishal alone takes 84 days.
उत्तर: (D) 11.25
15% of 75 = 0.15 × 75 = 11.25.
उत्तर: (A) नेदरलँड्स
The OPCW, which implements the Chemical Weapons Convention and won the 2013 Nobel Peace Prize, is headquartered in The Hague, Netherlands.
उत्तर: (A) साबरमती
On 12 March 1930 Gandhi began the Dandi March from Sabarmati Ashram, reaching Dandi on 6 April to break the salt law.
उत्तर: (B) मुलगा
Rakesh is Renu's son and Dinesh is Rakesh's brother, so Dinesh is also Renu's son.
उत्तर: (B) \(4 \dfrac{4}{5}\)
Together the holes empty 1/8 + 1/12 = 3/24 + 2/24 = 5/24 of the tank per minute, so it takes 24/5 = 4 4/5 minutes.
उत्तर: (A) 23,000 रुपये
CP = 17000/0.85 = Rs 20,000. For a 15% profit, SP = 20000 × 1.15 = Rs 23,000.
उत्तर: (C) 84
Percentage = 21/25 × 100 = 84%.
उत्तर: (D) सीरिया
The Geneva II Conference (January–February 2014) was a UN-backed peace conference on ending the Syrian civil war.
उत्तर: (D) 1024
In binary units, 1 terabyte = 1024 gigabytes.
उत्तर: (C) नव निर्माण
The 2016 Rail Budget rested on three pillars: Nav Arjan (new revenues), Nav Manak (new norms) and Nav Sanrachna (new structures). 'Nav Nirman' was not one of them.
उत्तर: (C) 131
1441 − 1048 = 393 = 3 × 131. Both numbers are multiples of 131: 1048 = 8 × 131 and 1441 = 11 × 131. HCF = 131.
उत्तर: (B) पाय
The pairs are adjacent parts of the limbs: the leg ends in the foot just as the hand meets the arm at the wrist. The official key gives Leg.
उत्तर: (A) 36
Number of sides = 360/exterior angle = 360/10 = 36.
उत्तर: (C) 32
The numbers are 16 and 32, so the LCM is 32.
उत्तर: (D) जेफ विलियम्स
In December 2015 Apple promoted Jeff Williams to Chief Operating Officer, a role Tim Cook held before becoming CEO.
उत्तर: (D) वहिनी
Chitra is Dinesh's sister, so Bavana (Dinesh's mother) is also Chitra's mother – Arun's wife. Manish is Arun's brother, so Bavana is his sister-in-law.
उत्तर: (C) 8
With 10 values (already in order) the median is the mean of the 5th and 6th values: (8 + 8)/2 = 8.
उत्तर: (A) 352/7
Surface area = 4πr² = 4 × 22/7 × 4 = 352/7 sq cm.
उत्तर: (D) एकतर I किंवा II एकटा पुरेसा आहे
From I: 'Always keep' = 'tee lee' (common to both), so pin = smiling. From II: 'smiling' is common with the question sentence, and 'pin' is the common code, so pin = smiling. Either statement alone is sufficient.
उत्तर: (A) बायनरी डिजिट (Binary Digit)
Bit is short for binary digit – the smallest unit of data, either 0 or 1.
उत्तर: (B) \(2 \dfrac{56}{99}\)
0.5656… = 56/99, so 2.5656… = 2 56/99.
उत्तर: (A) वडील
Malini's son's maternal uncle is Malini's brother. He is the old man's son, so the old man is Malini's father.
उत्तर: (B) हिऱ्यामधून हवेत
Total internal reflection can happen only when light goes from a denser to a rarer medium at more than the critical angle. Diamond to air fits; the other options go from rarer to denser.