RRB NTPC CBT 1 2016: उत्तर सहित प्रश्न

With x = 7, y = 4, z = 9: I. x + y + z = 20 ✓. II. x − y + z = 12, not 13 ✗. III. x + y − z = 2, not 3 ✗. IV. −x + y − z = −7 + 4 − 9 = −12 ✓. So I and IV are true.

A 5% higher rate for 2 years earns an extra P × 5 × 2/100 = 0.1P. 0.1P = 200, so P = Rs 2,000.

Ada Lovelace (1815–1852) wrote the first algorithm intended for Charles Babbage's Analytical Engine, and is regarded as the world's first computer programmer.

Italy has won the most Academy Awards for Best Foreign Language Film (now Best International Feature Film), with 11 competitive wins plus special awards, ahead of France.

Let CP of one item = 1. Then CP of 30 = 30 = SP of 40, so SP of one item = 30/40 = 0.75. Loss = 0.25 on 1 = 25% loss.

Pressure = force/area, so its SI unit is newton per square metre (N/m²), called the pascal (Pa).

Cartography is the science and art of making and studying maps. Calligraphy is decorative handwriting, and geology is the study of rocks and the Earth.

In 2015 Tamil Nadu decided to implement the BharatNet project itself (through TANFINET), to connect all its gram panchayats with optical fibre, as per the official key.

Distance per round = 44 km/5000 = 44,00,000 cm/5000 = 880 cm = 2πr. So r = 880 × 7/(2 × 22) = 140 cm.

175 = 25 × 7. 875 = 5 × 175, 1575 = 9 × 175, 2625 = 15 × 175 and 3325 = 19 × 175. 500, 1915, 2850 and 4335 are not multiples of 175. So 4 numbers.

B is A's maternal uncle, i.e. a brother of A's mother E. F is also E's sibling, so B and F are brothers, and D, F's son, is B's nephew.

RLWL stands for Remote Location Waiting List, used for passengers boarding at intermediate stations on a train's route.

In 2015 CERN honoured Gyalwang Drukpa, head of the Drukpa lineage of Buddhism, for his contribution to science and spirituality.

210° = 180° + 30°, in the third quadrant where tan is positive. tan 210° = tan 30° = 1/√3.

Total work = 15 × 330 = 4,950 man-days. In 220 days 15 × 220 = 3,300 is done, leaving 1,650. With 30 men it takes 1,650/30 = 55 more days.

Books are carried in a bag, and a bag is called 'rainbow' in this code. So the answer is rainbow.

The Indira Gandhi Memorial Tulip Garden, Asia's largest tulip garden, is in Srinagar, Jammu and Kashmir, on the foothills of the Zabarwan range overlooking Dal Lake.

As decimals: 3/7 ≈ 0.429, 11/17 ≈ 0.647, 41/63 ≈ 0.651, 21/29 ≈ 0.724. Ascending: 3/7 < 11/17 < 41/63 < 21/29.

An amalgam is an alloy of mercury with another metal (such as silver or tin, used in dental fillings). So it is mercury that forms an amalgam when mixed with a metal.

Under the Andhra Pradesh Reorganisation Act, 2014, Hyderabad was the common capital of Andhra Pradesh and Telangana for up to ten years, so in 2016 Hyderabad was the capital, as the official key marks. (Andhra Pradesh was building Amaravati as its new capital, which is now its capital.)

Sum = 10 + 9 + 8 + 7 + 8 + 6 = 48. Mean = 48/6 = 8.

Let the sides be 3x, 2x and x. Volume = 6x³ = 3072, so x³ = 512 and x = 8. Width = 2x = 16 m.

A monitor displays information, so it is an output device. The keyboard, mouse and scanner are input devices.

The only son of Sunil's mother's father is Sunil's maternal uncle, and his only sister is Sunil's mother. The girl's mother's brother is this uncle, so the girl's mother is Sunil's mother.

White is 4th from the left. Black is not at an end, so it is 2nd or 3rd; with two boxes between red and black, black = 2 and red = 5. Blue is one box away from red, at 3. Green takes position 1. Order: Green, Black, Blue, White, Red. The first from the left is green.

From the order Green, Black, Blue, White, Red, the black box is second from the left.

In the order Green, Black, Blue, White, Red, the middle (3rd) box is blue.

The 2015 Nobel Prize in Literature went to Svetlana Alexievich of Belarus 'for her polyphonic writings, a monument to suffering and courage in our time'. Modiano won in 2014, Munro in 2013 and Mo Yan in 2012.

The Narmada rises at Amarkantak in the Maikal range (Anuppur district, Madhya Pradesh) and flows west through a rift valley into the Gulf of Khambhat.

I and II both only give length + breadth = 40 m, so neither alone gives the length. Adding III (breadth 10 m) to either gives length = 40 − 10 = 30 m. So III with one of I or II is sufficient.

Each letter is written as its alphabet position: S 19, T 20, A 1, R 18, E 5. MOULD = M 13, O 15, U 21, L 12, D 4 = 131521124.

The 2016 Summer Olympics (the XXXI Olympiad) were held in Rio de Janeiro, Brazil, from 5 to 21 August 2016.

Work = 32 × 6 × 10 = 1,920 man-hours. To finish in 12 days at 10 hours a day: men = 1,920/(12 × 10) = 16.

A number is divisible by 9 if its digit sum is. 2 + 3 + 4 + A = 9 + A, so A = 0 or 9. The smallest natural number is 9.

Take CP = 100. Marked price = 150; after a 20% discount, SP = 120. Profit = 20%.

Mango, guava, watermelon and orange are all fruits. They are not all red, do not all have big seeds, and are not all available in every season.

The Prime Minister must be a member of Parliament. A Lok Sabha member must be at least 25 years old (a Rajya Sabha member 30), so the minimum age is 25.

SONAR stands for Sound Navigation and Ranging: it uses sound waves to detect and locate underwater objects.

Helium, neon and radon are noble (inert) gases of group 18. Hydrogen is a reactive gas, not an inert gas.

The passage lists the benefits of rainwater harvesting and calls it particularly important today, so it most supports 'Rainwater harvesting is the need of the hour'.

Letters take their alphabet positions and are added: B + E = 2 + 5 = 7. CUT = 3 + 21 + 20 = 44.

Totals: U = 25, K = 20, V = 23, G = 26 km. K has the lowest total, so the lowest average (4 km).

Totals: U = 25, K = 20, V = 23, G = 26 km. G covered the maximum distance.

Daily totals: Monday 19, Tuesday 18, Wednesday 17, Thursday 19.5, Friday 20.5 km. The maximum is on Friday.

A mason (rajgir) works with stone; a carpenter works with wood.

First : second = 2 : 3 = 10 : 15 and second : third = 5 : 8 = 15 : 24. So the ratio is 10 : 15 : 24 (49 parts). 245/49 = 5, so the second number = 15 × 5 = 75.

World AIDS Day is observed on 1 December every year since 1988, to raise awareness of HIV/AIDS.

Aryabhata, India's first satellite, was built by ISRO and launched on 19 April 1975 by a Soviet rocket.

The capital of British India was moved from Calcutta to Delhi, announced at the Delhi Durbar of 1911; New Delhi was inaugurated in 1931.

It + is (2) + our duty (4) + to protect (1) + the forests of the country (3): 'It is our duty to protect the forests of the country' = 2413.

With a = 40.7: (a³ + 1)/(a² − a + 1) = (a + 1)(a² − a + 1)/(a² − a + 1) = a + 1 = 41.7.

In 2015 Facebook launched a training programme in Telangana to help rural women's self-help groups promote their products online.

The series alternates powers of 3 and 4: 3, 4, 9 (3²), 16 (4²), 27 (3³), 64 (4³), 81 (3⁴), so next is 4⁴ = 256.

4/v − 4/(v + 2) = 10/60 = 1/6. So 8/(v(v + 2)) = 1/6, giving v(v + 2) = 48 and v = 6 km/h.

Dry air is about 78% nitrogen, 21% oxygen and about 1% argon, with traces of carbon dioxide and other gases.

Time = 200/50 + 200/70 = 4 + 20/7 = 48/7 hours. Average speed = 400 ÷ 48/7 = 2800/48 ≈ 58.3 km/h.

I says one person sits between A and B; III says A sits between E and C, so that person is E or C. Even combining all three statements, the circle can be arranged with E between different pairs, so the facts are insufficient, as the official key marks.

First letters K, M, O, ?, S go up by 2, so Q. The doubled letters D, F, H, ?, L go up by 2, so J. The missing term is QJJ.

Squadron Leader Rakesh Sharma flew to space aboard Soyuz T-11 in April 1984, becoming the first Indian in space.

Up and down are opposites; so are good and bad.

The right to equality, the right to freedom and the right to life (Article 21) are fundamental rights. Defending the country is a fundamental duty (Article 51A), not a right.

Iodine is needed to make thyroid hormones; its deficiency enlarges the thyroid gland, causing goitre.

Product of the numbers = HCF × LCM = 17 × 170 = 2,890. Sum of reciprocals = (a + b)/ab = 119/2,890 = 7/170.

Pankaj Advani won the IBSF World Snooker Championship in 2015 in Karachi, one of his many world titles in billiards and snooker.

Range = largest − smallest = 21 − 1 = 20.

'He is ranked No.1 in badminton (M) but (K) is also (L) a popular tennis player (J)' = MKLJ.

Both tea and coffee = 15; only coffee = 35. Ratio = 15/35 = 3/7.

Milk = 10. Tea = only tea 40 + both 15 = 55. Ratio = 10/55 = 2/11.

Tea lovers = 40 + 15 = 55 out of 100, i.e. 55%.

Lala Lajpat Rai died after a police lathi-charge during the anti-Simon Commission protest in Lahore (1928). To avenge him, Bhagat Singh and Rajguru shot ASP John Saunders on 17 December 1928.

Mohit has no siblings, so Mohit's father's son is Mohit himself. Gopal's mother is Mohit's wife, so Gopal is Mohit's son: Son–Father.

One number ÷ 2 gives 19, so it is 38. The other = HCF × LCM ÷ 38 = 19 × 342/38 = 171.

1K9L7J7L3M5 = 1 + 9 ÷ 7 × 7 ÷ 3 − 5. By BODMAS: 9 ÷ 7 × 7 = 9, then 9 ÷ 3 = 3, so 1 + 3 − 5 = −1.

Census 2011: Arunachal Pradesh has the lowest population density, 17 persons per sq km.

Arachnology is the study of spiders and other arachnids. Apiology is about bees and cynology about dogs.

1 km = 10,00,000 mm, so 1 mm = 1/10,00,000 km = 0.000001 km.

The Dadasaheb Phalke Award is India's highest award in cinema, named after the father of Indian cinema, who made Raja Harishchandra (1913).

sin D = 3/5 gives cos D = 4/5. (sin D + cos D)² = (7/5)² = 49/25.

45.15 ÷ 1.75 = (4515/100) ÷ (175/100) = 4515 ÷ 175 = (4515 ÷ 17.5)/10 = 258/10 = 25.8.

Dog, painting, book and candle can all be counted (one dog, two books), so they are countable nouns. A dog is alive, so they are not all inanimate.

In November 2015 Twitter launched a 'Make in India' emoji (the lion logo) to promote India as a global manufacturing hub.

Hindi Diwas is celebrated on 14 September: on that day in 1949 the Constituent Assembly adopted Hindi in Devanagari script as the official language of the Union.

BREADTH → CQFZESI: letters alternately move +1 and −1 (B+1 = C, R−1 = Q, E+1 = F, A−1 = Z, …). CONTAIN: C+1 = D, O−1 = N, N+1 = O, T−1 = S, A+1 = B, I−1 = H, N+1 = O → DNOSBHO.

Two numbers with product −20 and sum +1 are 5 and −4. So x² + x − 20 = (x + 5)(x − 4).

Kanha National Park, in the Mandla and Balaghat districts of Madhya Pradesh, is a tiger reserve that inspired Kipling's Jungle Book; it is home to the hard-ground barasingha.

For 2 years, CI − SI = P(R/100)² = 4000 × (0.2)² = Rs 160.

Martina Hingis and Sania Mirza won the 2015 US Open women's doubles, after winning Wimbledon 2015 together.

0.6a = (2/3)b gives a/b = (2/3)/0.6 = 10/9. Ratio = 10 : 9.

Loss = 1,200 − 900 = Rs 300. Loss % = 300/1,200 × 100 = 25%.

Sorted: 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7. 5 occurs most (4 times), so the mode is 5. The middle (6th) value is 5, so the median is 5.

Red soil gets its colour from iron oxides (ferric oxide) spread through crystalline and metamorphic rocks; it looks yellow when hydrated.

In increasing order: gigabyte < terabyte < petabyte < exabyte < zettabyte < yottabyte. The yottabyte (10²⁴ bytes) is the largest here.

Let the coins be x, 2x and 3x. Value = 0.25x + 0.20x + 0.15x = 0.60x = 180, so x = 300. 10-paise coins = 2x = 600.

New area = 1.15 × 0.90 = 1.035 times the old, an increase of 3.5%. (Shortcut: 15 − 10 − 15 × 10/100 = 3.5%.)

In 2016 Ritu Rani was captain of the Indian women's hockey team, leading it to qualify for the Rio Olympics, the first in 36 years. (Rani Rampal became captain later.)

Ajay Jayaram is an Indian badminton player who reached a career-best world ranking of 13 in 2015.

A vector has both magnitude and direction. Velocity is a vector; time, temperature and distance have only magnitude (scalars).

The Milky Way is the barred spiral galaxy containing our solar system, with an estimated 100–400 billion stars.

Heights: mango 7 m, orange 3.5 m, coconut 21 m. Average = 31.5/3 = 10.5 m, not less than 10, so I fails. The heights of teak, neem and other trees are not given, so we cannot say the coconut is the tallest; II fails. Neither follows.

The differences alternate +15 and +20: 100 +15 = 115, +20 = 135, +15 = 150, +20 = 170, +15 = 185. So ? = 135.