Ratio and Proportions questions for IBPS PO :

Must read Ratio and Proportions concepts.

Ques 1.

If a: b = 5 : 9 and b : c = 4 : 7, find a : b : c and a : c.

Ques 2.

If x : y = 3 : 4, find (4x + 5y) : (5x – 2y).

Ques 3.

Divide Rs. 672 in the ratio 5 : 3.

Solution: Sum of the terms of the ratio = (5 + 3) = 8

First part = Rs. (672 × 5/8) = Rs. 420

Second part = Rs. (672 × 3/8) = Rs. 252

Ques 4.

Divide Rs. 1162 among A, B, and C in the ratio 35 : 28 : 20.

Solution: Sum of the terms of the ratio = (35 + 28 + 20) = 83.

A’s share = Rs. (1162 × 35/83) = Rs. 490.

B’s share = Rs. (1162 × 28/83) = Rs. 392.

C’s share = [1162 – (490 + 392)] = Rs. 280.

Ques 5.

A bag contains 50 paise, 25 paise and 10 paise coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find the number of coins of each type.

Ques 6.

Which one of 2 : 3, 4 : 5, 7 : 9 and 11 : 13 is the largest ratio?

Solution: 2 : 3 = 2/3=0.666;   4 : 5 = 4/5 = 0.8;  

     

7 : 9 = 7/9 = 0.777; 11 : 13 = 11/13 = 0.846

Clearly, 0.846 > 0.8 > 0.777 > 0.666.

Hence, 11 : 13 is the largest ratio.

Ques 7.

A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. Find the quantity of alcohol in the given mixture.

Ques 8.

Suppose x varies as the sum of two quantities of which one varies directly as x and the other inversely as x. If y = 6 when x = 4 and y = 3 1/3, when x = 3. Find the relation between x and y.

IMF AND WORLD BANK

The International Monetary Fund is an international organisation which work for standardisation of global financial relations and exchange rates. 

• Membership-188 countries.
• Headquarters of IMF - Washington DC
• Executive Board - 24 Directors each representing a single country a single country or group of countries
• Staff - Approximately 2600 from 147 countries
• Biggest Borrowers - Portugal, Greece, Ireland and Ukraine
• Biggest Precautionary loans - Mexico, Poland, Colombo and Morocco
• Highest Voting Power - United States

IMF has a management team and 17 departments to carry out its work

IMF has a Managing Director, who is the head of the staff and Chairperson of Executive Board.The Managing Director is appointed by Executive Board for a renewable term of five years.

The current Managing Director of IMF is Christine Lagarde.

Establishment:

• It was established at the conference of 44 nations held at Bretton Woods,New Hampshire, USA, in July 1944.
• IMF was officially created in 1945 with 29 member countries.

It was established to prevent unstable exchange rates and competitive devaluation among economies.

AIMS OF IMF:

• IMF promotes international monetary cooperation
• It helps in expansion and balanced growth of international trade 
• It promotes exchange stability
• It helps to remove deficiency in Balance of Payments

FUNCTIONS OF IMF:

• IMF set standards for global economy and monitors financial communications between countries.
• It helps its member countries by lending money to make their economies and financial structure stable.
• It assists the member countries to develop sustainable financial polices.
• It provides economic advice to countries to maximise their financial effectiveness.
• It helps developing countries to stabilise and sustain themselves in global economy.

IMF AND WORLD BANK

World Bank is an international organisation that provides loan to developing countries for long term projects.It was formed on July, 1944.

IMF's primarily goal is to stabilise exchange rates while World Bank's goal is to reduce poverty.

Both the organisation were established at Bretton Woods Conference.

IMF AND INDIA:

• Mr Arun Jaitely, Finance Minister of India is ex-officio Governor on the Board of Governors of IMF.
• Mr Raghuram Rajan, RBI Governor is alternate governor at the IMF.
• Executive Director Dr. Rakesh Mohan, represent India at IMF. He also represent three other countries - Bangladesh, Sri Lanka and Bhutan.

RELATED TERMS:

• SPECIAL DRAWING RIGHTS  - SDR is an international reserve asset , which was created by IMF in 1969. It is an artificial currency use by member countries to settle trade balances between countries and then repay IMF. It is also known as PAPER GOLD, but it is neither paper nor gold but an accounting entry.
• BALANCE OF PAYMENTS - It is the set of accounts that records a country's international transactions.

NABARD Banking Quiz

Q1. NABARD stands for:

a) National Bank for Agriculture and Research Development

b) National Bank for Analysis of Rural Development

c) National Bank for Agriculture and Rural Development 

d) None of The Above

Q2. 'NABARD' came into existence on:

a) 8th July, 1982

b) 19th July, 1982

c) 12th July, 1982
d) None of The Above

Q3. ARDC stands for:

a) Agriculture Refinance and Development Corporation 

b) Agriculture Research and Development Commission 

c) Agriculture Research and Development Corporation 

d) None of The Above

Q4. 'NABARD' was dedicated to which among the following Prime Ministers:

a) Gulzari Lal Nanda

b) indira gandhi 

c) Shri Lal Bahadur Shastri 

d) None of The Above

Q5. 'NABARD was dedicated to the service of the nation by the late Prime Minister Smt. Indira Gandhi on:

a) 5 November, 1982

b) 10 November, 1982

c) 1 December, 1982

d) None of The Above

Q6. NABARD was set up with an initial capital of ______:

a) Rs. 50 Crore

b) Rs. 100 Crore

c) Rs. 200 Crore

d) None of The Above

Q7. Chairman of 'NABARD' is:

a) Manish Kumar Bhanwala

b) Harsh Kumar Bhanwala

c) Sanjay Kumar Bhanwala 

d) None of The Above

Q8. Headquarter of 'NABARD' is located at:

a) Mangalore, Karnataka 

b) Mumbai, Maharashtr

c) New Delhi

d) None of The Above

Q9. NABARD was established on the recommendations of :

a) Shivaraman Committee

b) Malhotra Committee

c) Kumarmangalam Committee 

d) None of The Above

Q10. ________ is the apex institution in the country which looks after the development of the cottage industry, small industries, village industries and other rural industries:

a) NABARD

b) SEBI

c) SIDBI

d) None of The Above

Q11. NABARD was set up essentially as a development bank for promoting:

a) Agriculture Development only

b) Rural Development only

c) Both of The Above

d) None of The Above

Q12. The main function of NABARD is to provide refinance for rural credit disburse by the_______and other financial institutions as may be approved by the Reserve Bank of India:

a) State Co-operative Banks

b) The Regional Rural Banks 

c) State Co-operative Banks and The Regional Rural Banks

d) None of The Above

Q13. Which among the following functions of NABARD is incorrect:

a) Providing finance and also refinance for production and marketing in the rural areas

b) Coordination and advising the operations of institutions engaged in rural credit

c) Promoting research in agriculture and rural development

d) All of The Above

e) None of The Above

Q14. CSR stands for:

a) Customer Satisfaction Responsibility 

b) Corporate Social Responsibility 

c) Corporate Social Reforms 

d) None of The Above

Q15.  Which among the following is considered as 100% CSR company:

a) SDB (Small Development Banks)

b) NABARD

c) RRBs (Regional Rural Banks)

d) None of The Above

Aptitude test For IBPS RRB PO Exam 2015

Aptitude Quiz For IBPS RRB PO Exam 2015
Directions (1-5): In each of the following number series, a wrong number is given. Find out that number.
1. 4, 5, 18, 80, 388, 2065, 12606
A) 5
B) 18
C) 80
D) 388
E) 2065
2. 22, 51, 88, 133, 186, 248, 316
A) 51
B) 88
C) 133
D) 186
E) 248
3. 7, 9, 21, 57, 137, 284, 539
A) 9
B) 21
C) 57
D) 137
E) 284
4. 3, 17, 83, 371, 1907, 11507, 80627
A) 17
B) 83
C) 371
D) 1907
E) 11507
5. 8, 9, 25, 105, 362, 987, 2283
A) 9
B) 25
C) 105
D) 362
E) 987

ANSWERS

1. (C)
2. (E)
3. (E)
4. (A)
5. (C)

Directions (1-5): In each of the following number series, a wrong number is given. Find out that number.
1. 4, 5, 18, 80, 388, 2065, 12606
A) 5
B) 18
C) 80
D) 388
E) 2065
2. 22, 51, 88, 133, 186, 248, 316
A) 51
B) 88
C) 133
D) 186
E) 248
3. 7, 9, 21, 57, 137, 284, 539
A) 9
B) 21
C) 57
D) 137
E) 284
4. 3, 17, 83, 371, 1907, 11507, 80627
A) 17
B) 83
C) 371
D) 1907
E) 11507
5. 8, 9, 25, 105, 362, 987, 2283
A) 9
B) 25
C) 105
D) 362
E) 987

ANSWERS

1. (C)
2. (E)
3. (E)
4. (A)
5. (C)

Simplification

1.‘BODMAS’ Rule:
This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of given expression.
Here
B – Bracket,
O – of,
D – Division,
M – Multiplication,
A – Addition and
S – Subtraction
Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order (), {} and ||.
After removing the brackets, we must use the following operations strictly in the order:
(i) of (ii) Division (iii) Multiplication (iv) Addition (v) Subtraction.
2.Modulus of a Real Number:
Modulus of a real number a is defined as
                        
Thus, |5| = 5 and |-5| = -(-5) = 5.
3.Virnaculum (or Bar):
When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

1. Fractions in which denominators are powers of 10 are known as decimal fractions.

2. Conversion of a Decimal into Vulgar Fraction:
Put 1 in the denominator under the decimal point and annex with it as many zeros as is the number of digits after the decimal point.
Now, remove the decimal point and reduce the fraction to its lowest terms.

3. Annexing Zeros and Removing Decimal Signs:
Annexing zeros to the extreme right of a decimal fraction does not change its value. Thus, 0.8 = 0.80 = 0.800, etc.
If numerator and denominator of a fraction contain the same number of decimal places, then we remove the decimal sign.

4. Operations on Decimal Fractions:
i) Addition and Subtraction of Decimal Fractions: The given numbers are so placed under each other that the decimal points lie in one column. The numbers so arranged can now be added or subtracted in the usual way.
ii) Multiplication of a Decimal Fraction By a Power of 10: Shift the decimal point to the right by as many places as is the power of 10.
Thus, 5.9632 x 100 = 596.32; 0.073 x 10000 = 730.
iii) Multiplication of Decimal Fractions: Multiply the given numbers considering them without decimal point. Now, in the product, the decimal point is marked off to obtain as many places of decimal as is the sum of the number of decimal places in the given numbers.
Suppose we have to find the product (.2 x 0.02 x .002).
Now, 2 x 2 x 2 = 8. Sum of decimal places = (1 + 2 + 3) = 6.
.’. .2 x .02 x .002 = .000008
iv) Dividing a Decimal Fraction By a Counting Number: Divide the given number without considering the decimal point, by the given counting number. Now, in the quotient, put the decimal point to give as many places of decimal as there are in the dividend.
Suppose we have to find the quotient (0.0204 ÷ 17). Now, 204 ÷ 17 = 12.
Dividend contains 4 places of decimal. So, 0.0204 ÷ 17 = 0.0012
v) Dividing a Decimal Fraction By a Decimal Fraction: Multiply both the dividend and the divisor by a suitable power of 10 to make divisor a whole number.
Now, proceed as above.

5. Comparison of Fractions:
Suppose some fractions are to be arranged in ascending or descending order of magnitude, then convert each one of the given fractions in the decimal form, and arrange them accordingly.

6. Recurring Decimal:
If in a decimal fraction, a figure or a set of figures is repeated continuously, then such a number is called a recurring decimal.
n a recurring decimal, if a single figure is repeated, then it is expressed by putting a dot on it. If a set of figures is repeated, it is expressed by putting a bar on the set.

Pure Recurring Decimal: A decimal fraction, in which all the figures after the decimal point are repeated, is called a pure recurring decimal.
Converting a Pure Recurring Decimal into Vulgar Fraction: Write the repeated figures only once in the numerator and take as many nines in the denominator as is the number of repeating figures.

Mixed Recurring Decimal: A decimal fraction in which some figures do not repeat and some of them are repeated, is called a mixed recurring decimal.
Eg. 0.1733333.. = 0.173.
Converting a Mixed Recurring Decimal Into Vulgar Fraction: In the numerator, take the difference between the number formed by all the digits after decimal point (taking repeated digits only once) and that formed by the digits which are not repeated. In the denominator, take the number formed by as many nines as there are repeating digits followed by as many zeros as is the number of non-repeating digits.

7. Some Basic Formulae :
i. (a + b)(a – b) = (a2 – b2)
ii. (a + b)2 = (a2 + b2 + 2ab)
iii. (a – b)2 = (a2 + b2 – 2ab)
iv. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
v. (a3 + b3) = (a + b)(a2 – ab + b2)
vi. (a3 – b3) = (a – b)(a2 + ab + b2)
vii. (a3 + b3 + c3 – 3abc) = (a + b + c)(a2 + b2 + c2 – ab – bc – ac)
viii. When a + b + c = 0, then a3 + b3 + c3 = 3abc.

number series question and answers

Directions to Solve In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much

1.  Look at this series: 2, 1, (1/2), (1/4), … What number should come next? A. (1/3) B. (1/8) C. (2/8) D. (1/16) EXPLANATION This is a simple division series; each number is one-half of the previous number.In other terms to say, the number is divided by 2 successively to get the next result. 4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8 and so on. 2.  Look at this series: 7, 10, 8, 11, 9, 12, … What number should come next? A. 7 B. 10 C. 12 D. 13 EXPLANATION This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted. 3.  Look at this series: 36, 34, 30, 28, 24, … What number should come next? A. 20 B. 22 C. 23 D. 26 EXPLANATION This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on. 4.  Look at this series: 22, 21, 23, 22, 24, 23, … What number should come next? A. 22 B. 24 C. 25 D. 26 EXPLANATION In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on. 5.  Look at this series: 53, 53, 40, 40, 27, 27, … What number should come next? A. 12 B. 14 C. 27 D. 53 EXPLANATION In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

6.	Look at this series: 21, 9, 21, 11, 21, 13, 21, … What number should come next?
	A. 14 B. 15 C. 21 D. 23 EXPLANATION In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.

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7.	Look at this series: 58, 52, 46, 40, 34, … What number should come next?
	A. 26 B. 28 C. 30 D. 32 EXPLANATION This is a simple subtraction series. Each number is 6 less than the previous number.

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8.	Look at this series: 3, 4, 7, 8, 11, 12, … What number should come next?
	A. 7 B. 10 C. 14 D. 15 EXPLANATION This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.

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9.	Look at this series: 8, 22, 8, 28, 8, … What number should come next?
	A. 9 B. 29 C. 32 D. 34 EXPLANATION This is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.

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10.	Look at this series: 31, 29, 24, 22, 17, … What number should come next?
	A. 15 B. 14 C. 13 D. 12 EXPLANATION This is a simple alternating subtraction series, which subtracts 2, then 5.

11.	Look at this series: 1.5, 2.3, 3.1, 3.9, … What number should come next?
	A. 4.2 B. 4.4 C. 4.7 D. 5.1 EXPLANATION In this simple addition series, each number increases by 0.8.

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12.	Look at this series: 14, 28, 20, 40, 32, 64, … What number should come next?
	A. 52 B. 56 C. 96 D. 128 EXPLANATION This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8.

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13.	Look at this series: 2, 4, 6, 8, 10, … What number should come next?
	A. 11 B. 12 C. 13 D. 14 EXPLANATION This is a simple addition series. Each number increases by 2.

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14.	Look at this series: 201, 202, 204, 207, … What number should come next?
	A. 205 B. 208 C. 210 D. 211 EXPLANATION In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.

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15.	Look at this series: 544, 509, 474, 439, … What number should come next?
	A. 404 B. 414 C. 420 D. 445 EXPLANATION This is a simple subtraction series. Each number is 35 less than the previous number.

Daily GK for Banking Exam

Q1. "Good People to Grow with" is the slogan of:

a) Indian Overseas Bank

b) HDFC

c) Jammu & Kashmir Bank

d) None of The Above

Q2. Slogan of Punjab & Sindh Bank is:

a) Smart way to Bank

b) Where Service is a way of Life

c) The Changing Face of Prosperity 

d) None of The Above

Q3. Which among the following is correct:

a) Syndicate Bank - Your Faithful and Friendly Financial Partner

b) UCO Bank - Honors Your Trust

c) United Bank of India - The Bank that begins with U

d) All of The Above

e) None of The Above

Q4. "A Friend You Can Bank Upon" is the slogan of:

a) Punjab National Bank

b) Vijaya Bank

c) Yes Bank

d) None of The Above

Q5. "Your Right Partner" is concerned with which bank:

a) Royal Bank of Scotland

b) Standard Chartered Bank

c) CITI Bank

d) None of The Above

Q6. Headquarter of IRDA is situated at:

a) Hyderabad

b) Karnataka 

c) Uttar Pradesh

d) None of The Above

Q7. Head office of SEBI is located at:

a) Gujarat

b) Mumbai

d) None of The Above

Q8. Head office of "Punjab National Bank" is located at:

a) New Delhi

b) Chandigarh

c) Patiala

d) None of The Above

Q9. Head office of "Axis Bank" is situated at:

a) Bagalore 

b) Mumbai

c) Pune

d) None of The Above

Q10. Headquarters of "Indian Overseas Bank" is located at:

a) Chennai

b) Trivendrampuram 

c) Pune

d) None of The Above

Q11. RBI was established on:

a) 1 April, 1936

b) 1 April, 1935

c) 1 April 1939

d) None of The Above

Q12. RBI was nationalized in:

a) 1949

b) 1950

c) 1951

d) None of The Above

Q13. Punjab National Bank was actually formed in:

a) 1894

b) 1892

c) 1896

d) None of The Above

Q14. Which Indian Bank's logo contains image of "Dog":

a) Vijaya Bank

b) Dena Bank

c) Syndicate Bank

d) None of The Above

Q15. Lala Lajpat Rai was the founder of which among the following banks:

a) State Bank of Patiala

b) Punjab & Sind Bank

c) Punjab National Bank

d) None of The Above

Daily GK for IBPS ( clerk & po ) and SBI exams preparation

1. Solar power generation facility made mandatory by which State Government ?

TAMIL NADU


2. International Genocide Commemoration Day is observed on which date ?

9 DECEMBER

3. Recently, RBI canceled the registration of which financial organization ?

SAHARA INDIAN FINANCIAL ORGANIZATION LIMITED

4. RBI signed an agreement with Nepal Rastra Bank for supervisory information exchange, who is the Executive Director of Nepal Rastra Bank ?

NARAYAN PRASAD PAUDEL

5. According to the report of World Bank, which State of India tops in ease of doing business in India ?

GUJARAT

6. Who won UN Award for Leadership on Climate Change ?

SHEIKH HASINA 

7. Where is the Headquarter of Amnesty International ?

LONDON , UK

8. Andhra Pradesh released the water of Godavari into Krishna, the event held at which village near Vijayawada ?

IBRAHIMPATNAM

9. Which is the Currency of Hungary ?

FORINT

10. Name the British-Indian shortlisted for Man Booker Prize 2015 ?

SUNJEEV SAHOTA

11. SAARC Conference on Disaster Mitigation held at which place ?

NEW DELHI 

12. Andhra Pradesh signed an agreement with which organization to develop 264 smart villages ?

TATA TRUST

13. Who is the President of Egypt ?

ABDEL FATTAH EL-SIS

14. When was World Bank formed ?

JULY 1944

15. Government of India spend how much rupees on ‘Employees Pension Scheme’ ?

2000 Crore

Union Budget

Highlights of Union Budget 2015-16 Sector-wise:

Agriculture:

1. Rs. 5,300 crore was allotted to support Micro Irrigation Programme
2. Rs. 8.5 lakh crore was targeted for farmers credit
3. Rs. 25,000 crore was allotted for Rural Infrastructure Development Bank
Defense
1. Rs. 2,46,726 crore was allotted for defense
2. Defense equipments will be manufactured in India under Make in India Project

Education

1. New IIM will be launched in Jammu & Kashmir and Andhra Pradesh
2. For Horticulture a PG institute will be started in Amritsar
3. AIIMS will be started at Jammu Kashmir, Punjab, Tamilnadu, Himachal Pradesh, Bihar and Assam.
4. University of Disability Studies will be started at Kerala.
5. New IIT in Karnataka
6. Indian Institute of Mines in Dhanbad, Jharkhand will be upgraded to IIT.

Infrastructure

1. Rs. 70,000 crores was allotted for Infrastructure sector.
2. Planned to start 5 ultra mega power projects, capacity of each 4000MW.
3. To implement tax-free bonds for rail road and irrigation projects.
4. Rs. 150 crore was allotted for Research and Development.
5. NITI will be setup to encourage the involvement of the entrepreneurs and researchers to foster scientific innovations.

Renewable Energy

1. Targeted Renewable energy in 2022: 100K MW in solar; 60K MW in wind; 10K MW
in biomass and 5K MW in small hydro.
2. Rs. 75 crores was allotted for electric cars production.

Taxation

1. To Cutoff the Wealth tax
2. Service tax will be increased to 14%
3. Rs. 4, 44,200 will be achieved as total exemption.
4. Surcharge will be increased by 2% for the richest persons those who have income of over Rs. 1 crore.
5. For the contribution of Swachch Bharat the exemption will be 100% apart from CSR