## Average Related Problems

(Quantitative Reasoning)

The average of given set of numbers can be expressed as:

 A = Sum of the quantities of same kind Number of quantities of the same kind.

Important Points:

Sum of Quantities = Number of quantities × Average

Average is also called the Arithmetic Mean.

If all the given quantities have the same value, then the vaue itself is the average.

If each of the given quantities is increased/decreases by a constant N, then their average is also increased/decreased by N.

If each of the given quantities is multiplied by a constant N, then their average is also multiplied by N.

Solved Problems:

Q1: Fnd the average of first five even numbers.

Answer: A = (2 + 4 + 6 + 8 + 10)/5 = 30/5 = 6

## Geographical Epithets

Bengal’s Sorrow: Damodar River

Blue Mountains: Nilgiri Hills

China’s Sorrow: Hawang-Ho

City Beautiful: Chandigarh

City of Dreaming Spires: Oxford

City of Golden Gate: San Francisco

City of Magnificent Buildings: Washington

City of Palaces: Calcutta/Kolkata

City of Seven Hills: Rome

## Carriage By Air Amendment Bill 2015 and Carriage By Air Act 2016

Important Points

The Rajya Sabha passed this amendment bill 2nd March 2016.

The bill will enhance compensation for air travellers in case of death, injury,1oss of baggage and even inordinate delay in flights.

The bill amends the Carriage By Air Act 1972, which regulates carriage by air and gives effect to Warsaw Convention 1929, Hauge Protocol 1955 and  Montreal Convention 1999.

## Partnership Problems

(Quantitative Reasoning)

There are two kinds of partnership:
Simple Partnership
Compound Partnership

Simple Partnership
In this partnership, time remains the same in case of each partner.
Suppose A and B are two partners. A invests ₹p and B invests ₹q then,
Share of Partner A's profit/loss : Share of Partner's B profit/loss = p : q

Compound Partnership
In this case, time is different.
Suppose A and B are two partners. A invests ₹p for m months and B invests ₹q for n months then,
Share of Partner A's profit/loss : Share of Partner's B profit/loss = p×m : q×n

## List of Padma Awardees (2017)

Padma Awards - one of the highest civilian Awards of the country, are conferred in three categories, namely,

② These awards are given in various fields of activities or disciplines, e.g. art, social work, public affairs, science and engineering, trade and industry, medicine, literature and education, sports, civil service, etc.

③ ‘Padma Vibhushan’ is awarded for exceptional and distinguished service;

④ ‘Padma Bhushan’ for distinguished service of high order and ‘Padma Shri’ for distinguished service in any field.

⑤ The awards are announced on the occasion of Republic Day every year.

⑥ These awards are conferred by the President of India at ceremonial functions which are held at Rashtrapati Bhawan usually around March/ April every year.

⑦ This year the President of India has approved conferment of Padma Awards to 89 persons as per the list  below. The list comprises of:

⑧ 19 of the awardees are women and the list also includes 5 persons from the category of foreigners, NRIs, PIOs and 6 Posthumous awardees

Sno. Name Field State
1. Shri K J Yesudas Art-Music Kerala
3. Shri Sharad Pawar Public Affairs Maharashtra
4. Shri Murli Manohar Joshi Public Affairs Uttar Pradesh
5. Prof. Udipi Ramachandra Rao Science & Engineering Karnataka
7. Late Shri PA Sangma (Posthumous) Public Affair Meghalaya

## CODING - DECODING

A CODE is a system of pre-arranged signals; especially used to ensure secrecy in transmitting messages. Therefore, Coding is a method of transmitting messages which have to be decoded according to some set principle or pattern.

There are variety of coding-decoding patterns are available that you are required to decipher. Here are given a few examples of coding-decoding patterns.

1. Letter Coding : In this type of coding, certain letters of alphabet stand for certain other letters of alphabet according to a specific rule.

eg. If LOVE is coded as MPWF , what will be the code for WAR ?

(a) VBQ
(b) XBQ
(c) XBS
(d) YBR

Hint: E → F,  L → M, N → O, V → W...
∴ LOVE → MPWF
∴ WAR → XBS

2. Number Coding : In  this, numerical codes are assigned to a certain word or alphabetical codes are assigned to the numbers.

## Idioms and Phrases

1. A blessing in disguise - Something good that isn’t recognized by first

2. A dead letter - a matter that is no longer important

3. A chip on your shoulder- Being upset for something that happened in the past

4. Afraid of her own shadow - to be extremely nervous and easily frightened

5. To be fair and square - in an honest way and without any doubt

6. A damp squib- Complete failure

7. Forty winks - a nap; some sleep.

8. A dime A dozen - Anything that is common and easy to get

9. Pink slip - a letter from your employer which tells you that you do not have a job any more

10. A gentleman at large- An unreliable person/Has no serious occupation

11. Always in the swim - alert to or actively engaged in events

12. A man of straw - A weak person

## Mineral Resources of India

India possesses huge mineral wealth but it is not much exploited. Coal, gold, mica, building materials, salt, petroleum, manganese ore, iron ore, copper ore and ilmenite are produced in quantities to be of real importance to industry and other sectors of economy.
Out of these, mica, manganese ore and ilmenite are largely exported. India has, however, adequate resources of industrial clay, steatite, bauxite, chromite, titanium ore etc.

Minerals Where Found
Aluminium Kerala. It is extracted from Bauxite.
Antimony Antimony deposits are found in the Punjab and Karnataka.
Asbestos Karnataka and Rajasthan
Barytes (Barium Sulphate) Tamil Nadu, Andhra Pradesh, Manbhum and Singhbhum districts of Jharkhand.
Bantonite Rajasthan and Jammu and Kashmir
Bauxite Ranchi and Palamau districts of Jharkhand, Belgaum, Kharia and Thana districts of Maharashtra; Balaghat, Jabalpur, Mandia and Bilaspur districts of Madhya Pradesh. It is an ore of aluminium.
Beryllium Sands Rajasthan, Tamil Nadu, Kashmir and Bihar
Cement Katni in M.P., Lakheri in Rajasthan, Jabalpur (M.P.), Guntur (Andhra Pradesh), Jhinkapani (Singhbhum district of Jharkhand), Surajpur (Haryana).
China Clay Rajmahal Hills, Singhbhum district of Bihar, Kerala

## IMPORTANT PLACES IN INDIA

Important Places State
Aga Khan Palace Pune
Amber Palace Rajasthan
Arikkamedu Puducherry
Cherrapunji Meghalaya
Chilka Lake Orissa
Dalal Street Mumbai
Elephanta Caves Mumbai, Maharashtra
Gateway of India Mumbai
Golden Temple Amritsar, Punjab
Hampi Karnataka

## Percentage

Mathematical Reasoning

In percentage, a fraction is expressed in terms of hundred. Thus, per cent is a fraction whose denominator is 100.

The sign of 100 is %

Two Important Conventions:
To convert a fraction or decimal into percent multiply it by 100. ∴ 20% = 20/100
To convert per cent into a fraction or a decimal, divide by 100 and delete the % sign.
1/5 = (1/5) ✕ 100 = 20%

Question 1: Express 5/2 as rate percent.

Answer: (5/2) ✕ 100 = (5 ✕ 100)/ 2 = 500/2 = 250%

Question 2: Find 25% of 1000

## Compensatory Afforestation Amendment Fund Bill, 2016

Important Points:

① The compensatory Afforestation Fund Bill, 2016 was passed on Ju1y 29, 2016 by the Parliament.

② The bill provides establishment of funds under the public accounts of the centre and state levels for compensatory afforestation.

③ The Bill has ended the long era of ad-hocism and will help the Centre and State Governments to utilise these amounts in a planned manner. It will facilitate make available more than Rs. 6,000 crores per annum to the States/UTs for conservation, protection, improvement and expansion of forest and wildlife resources of the country.

## Important Facts About GST 2016(Goods and Service Tax)

On Aug 3, 2016 Rajya Sabha and Lok Sabha on Aug 8, 2016 passed 122nd Amendment Bill on GST.

Salient Features of GST 2016

• Uniform establishment of taxes in India
• States will collect service taxes.
• Centre will collect Integrated Goods & Services Tax (IGST) on inter-state suppliers.
• It will cover nearly 16 types of Centre's and State's taxes.

## CALENDAR Problems

A calendar is a particular measure of time.

The smallest unit of calendar is a day. It is an average time in which the earth completes onw rotation on its axis.

The time in which the earth travels round the sun is known as a <b>solar year</b>.

The solar year consists of 365 days 5 hours and 48 minutes and 48 seconds. An ordinary year consists of 365 days.

To adjust the differece between solar year and oridnary year, every fourth year has 366 days and is called leap year.

Every fourth century is a leap year but no other century is a leap year.

## BANK NAMES WITH PUNCH LINES

Andhra Bank Hyderabad Where India Banks
Bank of Baroda Mumbai India’s International Bank
Bank Of India Mumbai Relationship Beyond Banking
Bank of Maharashtra Pune One Family One Bank
Bharatiya Mahila Bank Ltd New Delhi Empowering Women Empowering India
Canara Bank Bengaluru Together we can
Central Bank of India Mumbai Build A Better Life Around US
Corporation Bank Manglore Sarve Jahan Sukhino Bhavantu (Prosperity for all)
Dena Bank Mumbai Trusted Family Bank
IDBI Bank Mumbai Banking For All, “Aao Sochein Bada”

## LCM & HCF

Lowest Common Multiple (LCM)
LCM is the least dividend which is exactly divisible by the given numbers.
LCM of two or more numbers is the product of the highest powers of all prime factors of the given numbers.

Question 1: Find the LCM of 23×34×52,  22×33 and 22×33×52×72

(a) 23×34×52×72
(b) 22×33×51×71
(c) 2×3×5×7
(d) 23×33×52×72

Highest Common Factor (HCF)

HCF of two or more numbers is the greatest number (divisor) that divides all the given numbers exactly. HCF is also known as the GREATEST COMMON DIVISOR (GCD).

For a given two numbers a and b,

HCF × LCM  = a × b

Question 2: Find the HCF of 120, 150,180.

(a) 30
(b) 60
(c) 50
(d) 10

[Hint: Take the least powers of common terms ]

## RATIO and PROPORTION

Ratio:
The ratio between two quantities of the same kind is expressed in simple terms as the number of times one quantity contains the other.

The ratio of two quantities a and b is the fraction and is expressed as a : b

a : b can also be expressed as a / b or a ÷ b

Ratio can be
Duplicate Ratio i.e. a² : b² of a : b

Triplicate Ratio i.e. a³ : b³ of a : b

Sub -Duplicate Ratio i.e. √a : √b of a : b

Sub - triplicate Ratio i.e. ∛a : ∛b  of a : b

Compound Ratio i.e. ab : cd is compound ratio of a : c and b : d

Inverse ratio i.e. 1/a : 1/b of a : b

## SSC STENO (Grade C & D) Entrance  Examination 2016

General Awareness-3
See Q61-70 General Awareness-2

71: ‘Gynecomastia’ is

(A) Increased height in females
(B) Development of an extra finger females
(C) Development of breasts in males
(D) Development of hair on ears in males

72: The highest concentration of urea is found in

(A) Dorsal aorta
(B) Hepatic vein
(C) Renal vein
(D) Hepatic Portal Vein

73. Terrigenous deposits are found in

(A) Ocean Trenches
(B) Rift Valley
(C) Continental Shelf and Slope
(D) Deep Sea Plain

74: Which of the following is the only volcanic peak Antarctica

(A) Mt. Erebus
(B) Mt. Elbrus
(C) Mt. Cook
(D) Mt. Blanc

75: Who laid the foundation of the ‘School of Possibilism’?

(A) La Blache
(B) Humboldt
(C) Ratzel
(D) Brunches

## Current Affairs Quiz

(December 2016)

Q1: What is BHIM, launched by PM Narendra Modi?

Q2: Who was unveiled as official face of 2nd International Kite Festival?

Q3: Which country claims the world tallest Christmas tree?

Q4: Name the Indian biopics made to Oscars long list.

Q5: PM Narendra Modi lays foundation stone of the world's tallest statue. Name the monument.

Q6: In 2015-16 which country became the topmost source of Foreign Direct Investment in India?

Q7: Which country opened the World's highest bridge?

Q8: Who was named as the World's Best Playmaker of 2016 by International Federation of Football History & Statistics (IFFHS)?

## Nouns That Exist In Plural Form

Plural because of many parts – no singular

(i) Articles of dress having two inseparable pans: breeches, braces, drawers, pants, pantaloons, trousers, knickers, shorts, pajamas.
Singular nouns ‘beech’, ‘brace’ and ‘drawer’ have different meanings.

(ii) Instruments having two inseparable parts
bellows, compasses, nutcrackers, pliers, pincers, scissors, shears, snuffers, tongs, forceps
‘Forceps’ is a Latin noun and its Latin plural is  ‘forcipes”. Its English plural was ‘forcepses’, but now ‘forceps’ is used as both singular and plural.

(iii) Diseases consisting of many parts (units, patches etc.)
measles, mumps, glands

They may be treated both as singular and plural.
Diseases like ‘chickenpox’, and smallpox’ were treated as plural formerly but now they are treated as singular.