RRB NTPC CBT 1 2016: questions with answers

The passage says stagnant water, open garbage and drains help mosquitoes develop, so 'stagnant water is a breeding ground for mosquitoes' is supported. The other statements are not made in the passage.

5231405 × 99999 = 5231405 × 100000 − 5231405 = 523140500000 − 5231405 = 523135268595.

Leaded petrol released lead compounds in automobile exhaust, a serious air pollutant; India phased out leaded petrol by 2000.

Heat is energy in transit. It is felt through the motion of molecules, can travel as electromagnetic radiation and depends on a substance's thermodynamic properties, but it is not itself a direct measurement of thermal energy, as per the official key.

The Newton–Bhabha Fund programme is a joint India–UK initiative for research and innovation collaboration, named after Isaac Newton and Homi J. Bhabha.

KS has 200 + 130 + 250 + 170 = 750 students, of whom 250 chose Economics: 250/750 × 100 = 33.33%.

Computer students = 150 + 125 + 130 + 150 = 555. Statistics students = 150 + 220 + 170 + 125 = 665. The difference is 110.

College totals: VP 720, DJ 785, KS 750, GB 680. DJ has the most students.

Mecca, the holiest city of Islam and site of the Kaaba, is in the Hejaz region of Saudi Arabia.

Table (granulated) sugar is sucrose, a disaccharide of glucose and fructose obtained from sugarcane or sugar beet.

Ball-and-socket, gliding and saddle joints are types of synovial joints in the human body. There is no 'macro' joint.

Pole : cold, winter : cold and monsoon : rain pair a place or season with its typical weather. Summer : temperature pairs a season with a general quantity, so it is different.

A + B = 90° and A : B = 2 : 1 give A = 60° and B = 30°. tan 60° : tan 30° = √3 : 1/√3 = 3 : 1.

Replacing the signs: 19 + 63 ÷ 21 − 2 × 3 = 19 + 3 − 6 = 16.

4 + 5 + 6 = 15 parts = 180°, so 1 part = 12°. The smallest angle = 4 × 12° = 48°.

The abacus, a frame of beads on rods, was the ancient tool for arithmetic calculation, used in Mesopotamia, China and elsewhere.

The Government of India classifies 12 rivers as major rivers (catchment area above 20,000 sq km), as per the official key.

L has only two daughters, G and M, so they are sisters. U is G's daughter and S is U's sister, so S is also G's daughter. M is the sister of S's mother, i.e. S's aunt (mausi).

A 40% decrease followed by a 40% increase gives 0.6 × 1.4 = 0.84 of the original, a net loss of 16%.

Microchips are made on wafers of very pure silicon, a semiconductor.

India, Pakistan, Nepal and Sri Lanka all use rupees. Bangladesh's currency is the taka, not a rupee, so that pair is wrong.

A sum of squares is zero only if each term is zero: a = 3/2, b = 5/3, c = 7/4. Then 4a + 3b + 4c = 6 + 5 + 7 = 18 and √18 = 3√2.

MRI stands for Magnetic Resonance Imaging, which uses strong magnetic fields and radio waves to image the body.

The Soil Health Card Scheme (2015) is a central government scheme, implemented through the states. It tests soil nutrients and recommends fertilisers crop-wise, so A is the false statement.

India and Pakistan fought in 1947–48, 1965, 1971 and 1999 (Kargil). The 1962 war was between India and China.

From 5A = 6B, A = 6B/5; from 6A = 4C, A = 2C/3. So 6B/5 = 2C/3, giving B/C = 10/18 = 5 : 9.

Sara's mother Rama is the sister of Rahul and Tatya. Tatya is therefore Sara's mother's brother, her maternal uncle (mama).

The Bardoli Satyagraha (1928) against increased land revenue in Gujarat was led by Vallabhbhai Patel, who earned the title 'Sardar' there.

ICICI Bank's 'iWork@home' initiative let its women employees work from home for up to a year to care for family, as per the official key.

CT stands for Computed Tomography, which combines many X-ray images into cross-sectional pictures of the body.

Females: the mother, the 3 sons' wives, the 2 unmarried daughters and the 3 × 2 = 6 granddaughters, a total of 12.

Cryogenics is the science of very low temperatures (below about −150 °C), used for example in cryogenic rocket engines with liquid hydrogen and oxygen.

Thang-Ta (Manipur), Silambam (Tamil Nadu) and Pari-Khanda (Bihar) are Indian martial arts. 'Jailhouse Rock' is an Elvis Presley song.

Gulzarilal Nanda was acting Prime Minister twice, after the deaths of Nehru (1964) and Shastri (1966), 13 days each time.

'trees' appears in 'trees have branches' (746) and 'mangoes all trees' (491); the common digit is 4.

Sum of 7 = 7 × 18 = 126; sum of 8 = 8 × 18.5 = 148. The 8th observation = 148 − 126 = 22.

Islamabad has been Pakistan's capital since 1967 (Karachi was the first capital).

Supplementary angles add up to 180°: 180° − 113°25' = 66°35'.

In 2009 Nandan Nilekani, co-founder of Infosys, was made chairman of the Unique Identification Authority of India (Aadhaar) with cabinet rank.

Downstream speed = 34 ÷ 4¼ = 8 km/h; upstream speed = 19 ÷ 3⅙ = 6 km/h. Speed of the stream = (8 − 6)/2 = 1 km/h.

Each letter moves 3 places forward from one term to the next: S→V→Y→B, R→U→X→A, T→W→Z→C. The next term is BAC.

tan A + cot A = 2 holds only when tan A = cot A = 1. Then tan³A + cot³A = 1 + 1 = 2.

All players are cooks and some singers are players (sportsmen), so some singers are cooks. (Converting 'some cooks are dancers' also gives 'some dancers are cooks', but the official key marks D.)

Coefficient of variation = 10/22 × 100 ≈ 45.45%.

In increasing size: terabyte < petabyte < exabyte < zettabyte < yottabyte. The terabyte is the smallest of these.

The statements compare physical and breathing exercise; they do not say mental exercise lets you lift weights (I) or that physical exercise has no effect on the mind (II). Neither follows.

The Rupen, Banas and Saraswati of Gujarat–Rajasthan drain inland (into the Rann of Kutch or sand). The Periyar of Kerala flows into the Arabian Sea.

374 × 374 − 374 × 174 = 374 × (374 − 174) = 374 × 200 = 74,800.

In similar triangles corresponding sides are proportional, so PQ : QR = XY : YZ = 20 : 28 = 5 : 7.

Tripling means interest = 2P in 10 years, i.e. 200% in 10 years or 20% per annum.

The Zend-Avesta is the sacred scripture of Zoroastrianism (followed by the Parsis), traditionally attributed to Zarathustra.

Kuchipudi of Andhra Pradesh is one of India's recognised classical dances. Raut Nacha (Chhattisgarh), Chhau and Kalbelia (Rajasthan) are folk dances.

K. Radhakrishnan was ISRO chairman when the Mars Orbiter Mission (Mangalyaan) was launched in 2013 and reached Mars in 2014.

Oil, fur, silk and wool are all poor conductors of heat and electricity, i.e. good insulators.

x = (a − 5)(a + 5)/((a − 6)(a + 6)). Since x/y = (a − 5)/(a − 6), y = x(a − 6)/(a − 5) = (a + 5)/(a + 6).

K is M's mother-in-law, so K is female and L male; N (L's daughter) is female and married to the banker M. P is a granddaughter, so female. O's gender is not given, so the number of females cannot be determined.

N, the daughter of K and L, is married to the banker, and K is M's mother-in-law, so M is N's husband, the banker.

K (mother-in-law) and N and P (daughter, granddaughter) are female, and L and M are male. Nothing tells us whether O is male or female.

6 boys = 10 girls, so 12 boys = 20 girls, and 12 boys + 30 girls = 50 girls. 10 girls take 25 days (250 girl-days), so 50 girls take 5 days.

AREY = YEAR, URHO = HOUR and NMHTO = MONTH are units of time. OKRF = FORK is not.

Variance = (standard deviation)² = 12² = 144.

Shobha Narayan received the Arjuna Award for kho-kho in 1998, the last award given for the sport at that time, as per the official key.

Valentina Tereshkova of the Soviet Union became the first woman in space aboard Vostok 6 on 16 June 1963.

73 days = 1/5 year. Amount = 30000 × (1.0875)² × (1 + 0.0875 × 1/5) = 30000 × 1.18266 × 1.0175 ≈ Rs 36,101. Compound interest ≈ Rs 6,101.

Each term is 3 times the previous plus 3: 3 → 12 → 39 → 120 → 120 × 3 + 3 = 363.

Replacing the letters: 42 − 1 ÷ 14 × 30 ÷ 12 × 28 + 110. By BODMAS: 1 ÷ 14 × 30 ÷ 12 × 28 = 5, so 42 − 5 + 110 = 147.

The number leaving equal remainders divides the differences: 150 − 60 = 90, 285 − 150 = 135 and 285 − 60 = 225. HCF(90, 135, 225) = 45, whose digits add up to 9.

Green = only green 40 + black and green 15 = 55. Red = only red 20 + red and yellow 15 + red and black 5 = 40. Ratio = 55/40 = 11/8.

Students with black balloons = 25 + 15 + 20 + 5 = 65, so 200 − 65 = 135 do not have black balloons.

Students with two colours = 15 (black and green) + 15 (red and yellow) + 20 (blue and black) + 5 (red and black) = 55.

X copies 15 pages per minute; X and Y together copy 750/30 = 25 per minute, so Y copies 10 per minute and takes 10 minutes for 100 pages.

The National Green Tribunal (2010) is a specialised body set up for effective and expeditious (fast-track) disposal of environmental cases, as per the official key.

The Deccan Education Society was founded in Pune in 1884 by Vishnushastri Chiplunkar and Bal Gangadhar Tilak, with Agarkar, Namjoshi and others; the official key marks Chiplunkar and Tilak.

Edwin Hubble classified galaxies as spiral, elliptical and irregular. 'Regular' is not one of the basic types.

Rising sea levels from melting glaciers will affect coastal areas, so II follows. The statements do not say melting glaciers are the only effect, so I does not follow.

Hampi in Karnataka, on the Tungabhadra, was the site of Vijayanagara, the capital of the Vijayanagara Empire (14th–16th centuries).

CEC stands for Chief Election Commissioner, who heads the Election Commission of India.

Reusable plastic water bottles are commonly made of polyethylene (PET / HDPE), as per the official key.

ROCKET → CEROKT takes the letters in the order 3, 5, 1, 2, 4, 6 (C E R O K T). Applying this to HURDLE (H U R D L E) gives R L H U D E = RLHUDE.

Water is called the universal solvent because it dissolves more substances than any other liquid, thanks to its polarity. Both are true and R explains A.

Mir, Salyut 7 and Skylab were space stations in Earth orbit. Voyager 1 is a deep-space probe launched in 1977.

(M + 5) = 3/5 (F + 5) and (M − 5)/(F − 5) = 2/5. From the second, F = (5M − 15)/2. Substituting: 5M + 10 = 3(5M − 15)/2, so 10M + 20 = 15M − 45 and M = 13.

'Spotlight', about the Boston Globe's investigation, won Best Picture at the 88th Academy Awards (2016).

Letters are added by position: ACE = 1 + 3 + 5 = 9, AGE = 1 + 7 + 5 = 13. FACE = 6 + 1 + 3 + 5 = 15.

Let Y = x and X = 2x. (2x + 14)/(x + 14) = 29/18 gives 36x + 252 = 29x + 406, so x = 22. The difference of their ages = 2x − x = 22 years.

Time = 176/16 + 64/32 = 11 + 2 = 13 hours. Average speed = 240/13 ≈ 18.5 km/h.

Because of stops the train covers 12 km less per hour. At 60 km/h that takes 12/60 h = 12 minutes, so it stops 12 minutes every hour.

Total cost = 2 + 3 = 5 lakh. A 40% profit means selling for 7 lakh in total. One tractor fetched 1 lakh, so the other three must bring 6 lakh, an average of 2 lakh each.

Let the TV sold at 7% profit cost x. No overall gain means 0.07x = 0.11(47908 − x), so 0.18x = 5269.88 and x ≈ 29,277.11; the other costs ≈ 18,630.88.

Gloves are worn on the hands; socks are worn on the feet.

The number divides the differences 675 − 270 = 405 and 1215 − 675 = 540. HCF(405, 540) = 135.

(2x − 1/(2x))² = 4x² + 1/(4x²) − 2 = 4(x² + 1/(16x²)) − 2 = 4 × 19/2 − 2 = 36, so 2x − 1/(2x) = 6.

Cloud computing stores and accesses data and programs on remote servers over the internet instead of on a local computer.

15 ≡ −1 (mod 16), so 15³⁰⁰ ≡ (−1)³⁰⁰ = 1. The remainder is 1.

Snakes and Ladders (Moksha Patam) was created in ancient India to teach morality: ladders for virtues and snakes for vices.

In December 2014, when a fire at Malé's desalination plant cut water supplies, India sent drinking water to the Maldives by IAF aircraft and naval ships (Operation Neer).

CP of the first = 910/1.3 = Rs 700 and of the second = 180/0.9 = Rs 200, a total of Rs 900. Total SP = 1090. Profit = 190/900 × 100 ≈ 21.11%.

SQUARE → RPTZQD moves each letter one step back. RECTANGLE → Q D B S Z M F K D = QDBSZMFKD.

Data conversion means moving data from one format or system to another (from legacy systems or other modules, often with standard import programs). Simply upgrading software from one version to another is not data conversion, as per the official key.

Silica (silicon dioxide, sand) is the main constituent of glass, about 70%, along with soda and lime.