Commonly Asked Interview Questions(HR)!!

One must be ready with the Answers to the following common Questions before facing an interview!!


•Tell something about yourself?
•Why do you want to leave your current job?
•Why do you want to join in industry?
•How do you organize your priorities?
•Speak about yourself professionally?
•Elaborate on your strengths with examples?
•What are the competitive challenges in Human Resource Management? Explain managing changes in HRM? Explain
•Where do you see yourself after 10 years from now?
•Suppose you already have job offer and giving to interview to other new company. What reasoning should you give for that?
•Why do you like to join this company? What would you do for the growth of this company?
•What are your short and long term goals? Tell me with some example
•Why do you think you would do well at this job?
•What is more important to you: the money or the work?
•What would your previous supervisor say your strongest point is?
•Tell me about a problem you had with a supervisor?
•What has disappointed you about a job?
•Tell me about your ability to work under pressure?
•Do your skills match this job or another job more closely?
•What motivates you to do your best on the job?
•Are you willing to work overtime? Nights? Weekends?
•Would you be willing to relocate if required?
•Are you willing to put the interests of the organization ahead of your own?
•Describe your management style?
•What have you learned from mistakes on the job?
•If you were hiring a person for this job, what would you look for?
•Do you think you are overqualified for this position?
•How do you propose to compensate for your lack of experience?
•What qualities do you look for in a boss?
•Tell me about a time when you helped resolve a dispute between others?
•What position do you prefer on a team working on a project?
•Describe your work ethic?
•What has been your biggest professional disappointment?
•Tell me about the most fun you have had on the job?
•Do you have any questions for me?
•Do you consider yourself successful?
•What do co-workers say about you?
•Do you know anyone who works for us?
•What kind of salary do you need?
•Are you a team player?
•How long would you expect to work for us if hired?
•Have you ever had to fire anyone? How did you feel about that?
•What is your philosophy towards work?
•If you had enough money to retire right now, would you?
•Have you ever been asked to leave a position?
•Explain how you would be an asset to this organization?
•What irritates you about co-workers?
•What kind of person would you refuse to work with?

Vishay Integrates MOSFET And Power Diode Into Same Package

Typical applications for the SiA850DJ will include boost dc-to-dc converters for high-voltage piezo-electric motors and organic LED (OLED) backlighting in portable devices such as cell phones, PDAs, MP3 players and smart phones.

Integrating the MOSFET and the power diode into the same package saves designers at least one third of the PCB area, while at the same time lowering solution costs by eliminating the need for an external diode. While larger devices feature on-resistance ratings down to 2.5 V, the SiA850DJ is rated down to 1.8 V, which further saves board space by reducing the need for level shift circuitry. The device offers low on-resistance values from 17 Ω at 1.8-V VGS to 3.8 V at 4.5-V VGS, and a diode forward voltage of 1.2 V at 0.5 A.

The SiA850DJ is 100 per cen lead (Pb)-free, halogen-free and RoHS-compliant, meeting the demands of international legislation for elimination of hazardous substances.

Samples and production quantities of the new SiA850DJ are available now.

New Qustions

PAPER : SBI clerical Staff recruitment : General Awareness sample Question Paper 2008
1.Who amongst the following is the Head of the RBI at present?
(1) Mr. K V. Kamath
(2) Dr. Y.V. Reddy
(3) Mr. Y.R. Narayanamurthy
(4) Mr. O.P. Bhatt
(5) None of these
2.India has different categories of Commercial banks. Which of the following is not one such category?
(1) Private Banks
(2) Commodity Banks
(3) Nationalised Banks
(4) Co-operative Banks
(5) Foreign Banks
3.The Securities and Exchange Board of India (SEBI) recently imposed a restriction on money flow in equity through ‘P-Notes’. What is the full form of ‘P-Notes’ ?
(1) Permanent Notes
(2) Purchase Notes
(3) Participatory Notes
(4) Private Notes
(5) None of these
4.Who amongst the following was the Captain of the Indian cricket team which won the Twenty20 World Cup2007 ?
(1) Yuvraj Singh
(2) M.S. Dhoni
(3) Rahul Dravid
(4) Sourav Ganguly
(5) None of these
5.The money which Government of India spends on the development of infrastructure in country comes from which of the following sources? [pick. up the correct statement(s)]
(A) Loan from World Bank/ ADB, etc.
(B) Taxes collected from the people.
(C) Loan from the RBI.
(1) Only A
(2) Only B
(3) Only C
(4) Both A & B
(5) All A, B & C
6.Which of the following organisations / agencies has established a fund known as “Investor Protection Fund” ?
(1) SEBI
(2) NABARD
(3) Bombay Stock Exchange
(4) Ministry,.\of Health
(5) None of these
7.Which of the following departments of the Government of India is helping banks in disbursement of rural credit by the banks?
(1) Railways
(2) State Road Transports
(3) Posts & Telegraph
(4) Ministry of Health
(5) None of these
8.Which of the following types of banks are allowed to operate foreign currency accounts ?
(A) Foreign Banks
(B) Regional Rural Banks
(C) Nationalised Banks
(1) Only A
(2) Only B
(3) Only C
(4) All A, B & C
(5) None of these
9.Majority of rural people still prefer to go to which of the following for their credit needs?
(1) Money lenders
(2) Foreign banks
(3) NABARD
(4) RBI
(5) All of these
10.Which of the following countries does not play international cricket?
(1) Russia
(2) England
(3) South Africa
(4) Pakistan
(5) India
11.Which of the following countries in the world is the biggest consumer of gold?
(1) USA
(2) Bangladesh
(3) Russia
(4) India
(5) None of these
12.Many times we read in financial newspapers about ‘FII’. What is the full form of FII ? ‘
(1) Final Investment in India
(2) Foreign Investment in India
(3) Formal Investment in India
(4) Fair Institutional Investment
(5) Foreign Institutional Investment
13.The financial markets of which of the following countries were badly affected by sub prime crisis ?
(1) Russia
(2) Brazil
(3) UK
(4) USA
(5) None of these
14.One of the former Prime Ministers of which of the following countries was detained in house arrest for a short period after his/her return from a long exile?
(1) Germany
(2) France
(3) Pakistan
(4) Brazil
(5) None of these
15.Which of the following countries is facing problem of strike by the workers of the transport, electricity and gas companies as the present Government of the country has decided to end the pension to these workers?
(1) USA
(2) France
(3) China
(4) Nepal
(5) None of these
16.Benazir Bhutto is associated with which of the following political parties?
(1) Muslim League
(2) Pakistan People’s Party
(3) Pakistan National Congress
(4) Islamic Movement of Pakistan
(5) None of these
17.Who amongst the following is the Secretary-General of UNO?
(1) Al Gore
(2) Shashi Tharoor
(3) Gordon Brown
(4) Hugo Chavez
(5) None of these
18.Manmohan Singh called George Bush to explain the difficulties he is having in implementing agreements related with which of the following with USA?
(l)Supply of Sugar
(2) Civilian Nuclear Cooperation
(3) Purchase o£ Fighter Planes
(4) Purchase of Gas/Petroleum
(5) None of these
19.Which of the following countries recently decided to launch a military action in Northern Iraq where many Kurdish PKK fighters are based and they are killing people from that country ?
(1) India
(2) Afghanistan
(3) Pakistan
(4) Bangladesh
(5) Turkey
20.The “Orange Coalition Government” was formed once again in which of the following countries?
(1) Russia
(2) Ukraine
(3) France
(4) Germany
(5) None of these
21.As reported in papers the UN World Food Programmes stopped distributing food in Mogadishu town after its local head was abducted by the government soldiers of the country. Mogadishu is the capital town of
(1) Tanzania
(2) Turkey
(3) Cuba
(4) Libya
(5) Somalia
22.Who amongst the following leaders from USA visited Israel and Palestinian West Bank so that a solution to the Israel and Palestinian problem can be worked out?
(1) George Bush
(2) Al Gore
(3) Bill Clinton
(4) Condoleezza Rice
(5) None of these
23.Which of the following countries is not elected by the UN General Assembly on the non-permanent seats of the UN Security Council w.e.f. January 2008 ?
(1) Libya
(2) Vietnam
(3) Croatia
(4) Costa Rica
(5) Pakistan

24.Which of the following countries is not happy with the USA’s decision to award a Congressional Medal to Dalai Lama of Tibet?
(1) India
(2) Pakistan
(3) Nepal
(4) Myanmar
(5) China

25.Justine Henin won the Women’s Singles US Open Tennis Championship 2007 after defeating
(1) Svetlana Kuznetsova
(2) Sania Mirza
(3) Dinara Safina
(4) Mathalie Dechy
(5) None of these
26.India won the ONGC Nehru Cup Football Tournament 2007 by beating
(1) Syria
(2) Pakistan
(3) Britain
(4) France
(5) None of these
27.Who amongst the following is selected for Basava Award (2006-07) by the Karnataka Government?
(1) Manmohan Singh
(2) A.P.J. Abdul Kalam
(3) Sonia Gandhi
(4) Pratibha Patil
(5) None of these
28.Shinzo Abe who was on a visit to India in recent past is the
(1) Prime Minister of South Korea
(2) Prime Minister of North Korea
(3) Prime Minister of Japan
(4) President of South Korea
(5) None of these
29.Abdullah Gul’s name was in news recently as he has taken over as the President of
(1) Turkey
(2) Sudan
(3) Afghanistan
(4) Pakistan
(5) None of these
30.Hem Dutta who was honoured with the prestigious Rajiv Gandhi National Sadbhawana Award 2007 is a famous
(1) author
(2) social activist
(3) player
(4) film producer
(5) scientist
31.Asafa Powell who created a new world record in 100 metres race is a citizen of
(1) Jamaica
(2) South Africa
(3) India
(4) USA
(5) South Korea
32.The World Athletics Championship 2007 was organised in
(1) Beijing
(2) New Delhi
(3) Osaka
(4) Dhaka
(5) London
33.Who amongst the following got third position in long jump event of the Bayer International Athletics Meet held in Germany in 2007 ?
(1) Shiny Wilson
(2) Anju Bobby George
(3) Neha Sanwal
(4) Prajakta Sawant
(5) None of these

34.As per the recent agreement between India and one other country the Indian Rupee can be easily swapped with
(1) Taka
(2) Riel
(3) Kyat
(4) Yen
(5) Rubble
35.The Government of India put a ban on export of which of the following commodities at the price below the price of the same in domestic market?
(1) Steel
(2) Chemical Fertiliser
(3) Pharma products’
(4) Electronic goods
(5) None of these
36.India’s Foreign Exchange Reserves declined sharply in recent past. What was the main reason for the same?
(1) Heavy demand of the same by foreign tourists
(2) Import of wheat from Pakistan & South Korea
(3) Appreciation of Rupee Value
(4) Instability in coalition government in Centre
(5) None of these
37.Which of the following is a public sector unit ?
(1) TCS
(2) ICICI Bank
(3) TESCO
(4) BHEL
(5) All of these
38.Asia Pacific Economic Cooperation Business Meet was organised in September 2007 in
(1) New Delhi
(2) Beijing
(3) Tokyo
(4) London
(5) Sydney

39.Who amongst the following was the Captain of the Indian hockey team who won Asia Cup 2007 held in Chennai ?
(1) Baichung Bhutia
(2) Dilip Tirkey
(3) Pankaj Advani
(4) Manavjit Singh Sandhu
(5) None of these

40.India launched which of the following satellites in September 2007?
(1) EDUSAT
(2) METSAT
(3) CROSAT-IIB
(4) INSAT-4CR
(5) None of these
Answers
1. (2) 2. (2)3. (3) 4. (2)
5. (5) 6. (1) 7 (5) 8. (3)
9. (1)10.(1) 11.(4) 12. (5)
13. (3) 14. (3) 15. (2) 16. (2)
17. (5) 18. (2) 19. (5) 20. (2)
21. (5) 22. (4) 23. (5) 24. (5)
25. (1) 26. (1) 27. (2) 28. (3)
29. (1) 30. (2) 31. (1) 32. (3)
33. (2) 34. (5) 35. (1) 36. (3)
37. (4) 38. (5) 39. (5) 40. (4)
PAPER : SBI CURRENT AFFAIRS 2008 QUESTIONS ANSWERS
1. WHO IS THE PRESENT CHAIRMAN OF CII ?
ANS- K.V.KAMATH1
2. WHAT IS THE FULLFORM OF "BRIC" ?
ANS- BRAZIL, RUSSIA ,INDIA,CHINA
3. WHICH FILM HAS BAGGED THE BEST MOVIE AWARDS IN IIFA AWARDS WHICH WAS HELD IN BANGKOK ?
ANS- CHAK DE INDIA (YASH CHOPRA)
4. WHO IS THE WINNER OF FRENCH OPEN 2008 MEN'S TITLE ?
ANS- RAFAEL NADAL
5. WHO IS THE WINNER OF DLF IPL CRICKET TOUNAMENT 2008 ?
ANS- RAJASTHAN ROYALS
6. NATIONAL HUMAN RIGHTS COMMISSION CHAIRMAN?
ANS- JUSTICE RAJENDRA BABU
7. WHO IS THE INDIAN HOCKEY COACH ?
ANS- JOKIM KARVALO
8. WHICH FILM HAS BAGGED THE BEST FILM OF GOLDEN PALM AWARD IN CANNES FILM FESTIVAL 2008 ?
ANS- ENTRE LES MURS (THE CLASS)
9. WHO IS THE winner of IIFA Best Actor award 2008 ?
ANS- SHAHRUKH KHAN (CHAK DE INDIA)
10.WHO IS THE CHIEF OF INDIAN AIR FORCE ?
ANS- FALI HOMI MAJOR
11.WHO IS THE MISS UNIVERSE INDIA 2008 ?
ANS- SIMARAN KAUR MUNDI
12.WHO IS THE Miss INDIA WORLD 2008
ANS- PARVATHY OMNAKUTTAN
13.VENUE OF 15TH SAARC SUMMIT 2008?
ANS- COLOMBO (SRI LANKA)
14.WHO GOT DADA SAHEB PHALKE RATNA AWARD 2008?
ANS- B.R.CHOPRA
15.WHO IS THE WINNER OF WORLD CUP CRICKET 2007 ?
ANS- AUSTRALIA
16.WHO IS THE WORLD CUP CRICKET 2007 RUNNER UP ?
ANS- SRI LANKA
17. WHO IS THE WINNER OF FRENCH OPEN 2008 WOMENS TITLE ?
ANS- Ana Ivanovic
18.WHO COMPLETED 16000 RUNS IN ODI RECENTLY ?
ANS- SACHIN TENDULKAR
19.WHO IS THE PRESIDENT OF RUSSIA ?
ANS-DMITRI MEDWEDEV
20. WHO IS THE PRIME MINISTER OF RUSSIA?
ANS- VLADIMIR PUTIN
21.WHO IS THE WORLD BANK PRESIDENT ?
ANS- ROBERT ZOELLICK
22.INDIA HAS SUCCESSFULLY TEST FIRED AGNI III IN THE MONTH OF MAY 2008. WHICH TYPE OF MISSILE BELONGS TO AGNI III -
ANS - SURFACE TO SURFACE INTERMEDIATE RANGE BALLISTIC MISSILE



PAPER : SBI BANK CLERK GENERAL KNOWLEDGE QUIZ
1.Who amongst the following cricketers became the ninth indian to claim 150 or more wickets?
(a) A.Kumble
(b) A.Agarkar
(c) S.Tendulkar
(d) Harbhajan Singh
(e) None of these
Ans (c)
2. Who amongst the following returned to earth after a lomg 195 days stay in space ?
(a) Angei Brewer
(b) Mike Leinbach
(c) Shruti Vadera
(d) Sunita Williams
(e) None of these
Ans(d)
3. Japan PM shinzo Abe came to office last year with huge support in his favour. But since last few months he is facing problems in his political survival. Which of the following actions taken by him does / do not enjoy support of the people of Japan (Pick up the correct statement) ?
1. Decision to postpone parliament elections.
2. Falling to control inflation which has gone to the level of 12% an unusual phenomenon in the history of Japan .
3. Decision to allow USA to make an army Base in some of its Islands where USA will have its nuclear war-heads
(a) Only 2
(b) Only 1
(c) Both 1 and 2
(d) Only 3
(e) All 1, 2 and 3
Ans(c)

4. European leaders agree on traty was the news in leading news paper in recent past . Which of the following was the treaty on which leadres were of diverse views (Pick up the correct statement) ?
1. The treaty was to make the EURO money a universal currency for all financial / monetary transaction done by all the member countries w.e.f. April 2009.
2. Treaty was to defunct constitution of the Eropean Union by a new one.
3. Poland one of the newest members of the union was threatening to use its veto power if any change is done in the present set up of the organization.
(a) only 1
(b) only 2
(c) only 3
(d) Both 1 and 2
(e) Both 2 and 3
Ans(b)
5. "Rajpaksha threatens to resolve Lanka parliament" was the news in leading newspaper a few days back . Which of the following was the reason owing to which president threatens to take a drastic step ? (pick up the correct statements).
1. A number of MPs from Sri Lanka Freedom party defecting to join another party launched by another group of politicians.
2. A group of politicians under the leadership of former president Chandrika Kumartunga demanding the postponement of elctions for the post of president due in the month of November 2007 so that Chandrika can came back from exile and contest for the same.
3. Rajapaksha wants general public and also MPs to support his formula on peace with LTTE which is not accepatble to most of the MPs.
(a) All 1,2 and 3
(b) Only 2
(c) Only 3
(d) Both 1 and 2
(e) Only 1
Ans(a)
6. Madhesi national liberation front (MNLF) is an organixation active in which of the following countries ?
(a) Pakistan
(b) Myanmar
(c) Uganda
(d) Iran
(e) Nepal
Ans(e)
7. As per the Economic survey 2006-07 the food grain production may not touch the target fixed for the year. What is the atrget of the same set for the period?
(a) 100 million tonnes
(b) 220 million tonnes
(c) 175 million tonnes
(d) 250 million tonnes
(e) 320 million tonnes
Ans(b)
8. Which of the following sector banks brought its equity share (follow on public issue) for the price was set as Rs. 940 per equity ?
(a) ICICI Bank
(b) Karnataka Bank
(c) UTI Bank
(d) HDFC Bank
(e) None of these
Ans(a)
9. Prime minister of India recently unveiled an agricultural package during his visit to 53rd meeting of the National Development Concil. What is the size of the package >
(a) Rs. 10,000 Crores
(b) Rs. 1s,000 Crores
(c) Rs. 20,000 Crores
(d) Rs. 25,000 Crores
(e) Rs. 30,000 Crores
Ans(d)
10. Which of the following States achieved 100% financial inclusion (each and every family in the state has atleast one bank account). ?
(a) Delhi
(b) Maharashtra
(c) West Bengal
(d) Kerala
(e) None of these
Ans(d)
11. Rafael Nadal won the French Open men's single title 2007 after defeating who amongst the follwing ?
(a) Mark Knowles
(b) Mahesh Bhupati
(c) Daniel Nestor(d) Pawel Vizner
(e) Roger Federer
Ans(e)
12. Who amongst the following has taken over as the chairman of the 18th Law Commission set-up recently ?
(a) Justice A.R.Lakshmanan
(b) Justice Bhagwan Das Rana
(c) Justice T.L.Venkatraman Iyer
(d) Mrs. Suryakanta Patil
(e) None of these
Ans(a)
13. Who amongst the following was honoured with the Jawaharlal Nehru award for the International Understanding given away recently ?
(a) Mr. Umaru Yar Adua
(b) Mr. Luiz Inacio Lula Da Silva
(c) Mr. Vladimir Putin
(d) Mr. Felipe Calderon
(e) None of these
Ans(b)
14. Who amongst the following actors won the award for Best actor in 8th International Film Academy Award Ceremony held recently?
(a) Saif Ali Khan
(b) Sanjay Dutt
(c) Arshad Warsi
(d) Abhishek Bachchan
(e) Hrithik Roshan
Ans(e)
15. Which of the following rates is not decided by the Reserve Bank of India ?
(a) Bank Rate
(b) Repo Rate
(c) Reserve Repo Rate
(d) Income Tax Rates
(e) All of these
Ans(d)
16. The world Economic forum was held recendly in -
(a) Malaysia
(b) Kuwait
(c) Iran
(d) Brazil
(e) Indonesia
Ans(a)
17. Which of the following African countries recently launched its communication satellite for the first time (The satellite was launched from China) ?
(a) Nigeria
(b) Keniya
(c) Zimbabwe
(d) Mauritius
(e) None of these
Ans(a)
18. 'Dausa' which has been in news recently is a town in -
(a) Gujarat
(b) Madhya Pradeh
(c) Bihar
(d) Uttar Pradesh
(e) Rajasthan
Ans(e)
19. Which of the following was the major issue of discussion in the G-8 Summit held in Germany ?
(a) Subsidy to agro product
(b) Climate protection
(c) Financial Aid to Iraq
(d) Nuclear technology and possiblity of space war
(e) None of these
Ans(b)
20. Which of the following countries has decided to build a road to the Base camp of Mt. Everest ?
(a) India
(b) China
(c) Nepal
(d) Myanmar
(e) None of these
Ans(b)

Aptitude Questions Y7

61. A takes 3 min 45 seconds to complete a kilometre. B takes 4 minutes to complete the same 1 km track. If A and B were to participate in a race of 2 kms, how much start can A give B in terms of distance?



Solution: A can give B a start of 15 seconds in a km race.
B takes 4 minutes to run a km. i.e = 250 m/min = m/sec
Therefore, B will cover a distance of = 62.5 meters in 15 seconds.
The start that A can give B in a km race therefore, is 62.5 meters, the distance that B

run in 15 seconds. Hence in a 2 km race, A can give B a start of 62.5 * 2 = 125 m or

30 seconds.



62. P can give Q a start of 20 seconds in a kilometer race. P can give R a start of 200 meters in the same kilometer race. And Q can give R a start of 20 seconds in the same kilometer race. How long does P take to run the kilometer?

Solution:
P can give Q a start of 20 seconds in a kilometer race. So, if Q takes 'x' seconds to run a kilometer, then P will take x – 20 seconds to run the kilometer.

Q can give R a start of 20 seconds in a kilometer race. So, if R takes 'y' seconds to run a kilometer, then Q will take y – 20 seconds to run the kilometer.

We know Q takes x seconds to run a kilometer
Therefore, x = y – 20

Therefore, P will take x – 20 = y – 20 – 20 = y – 40 seconds to run a kilometer.

i.e. P can give R a start of 40 seconds in a kilometer race, as R takes y seconds to run a kilometer and P takes only y – 40 seconds to run the kilometer.

We also know that P can give R a start 200 meters in a km race.
This essentially means that R runs 200 meters in 40 seconds.
Therefore, R will take 200 seconds to run a km.

If R takes 200 seconds to run a km, then P will take 200 – 40 = 160 seconds to run a km.



63. How many squares can be formed using the checkered 1 * 1 squares in a normal chessboard?

Solution:

The number of squares that can be formed using the 1 * 1 checkered squares of a chess board are given by the relation 12 + 22 + 32 + 42 + ... + 82 = 204

64. A and B enter in to a partnership and A invests Rs. 10,000 in the partnership. At the end of 4 months he withdraws Rs.2000. At the end of another 5 months, he withdraws another Rs.3000. If B receives Rs.9600 as his share of the total profit of Rs.19,100 for the year, how much did B invest in the company?

Solution:

The total profit for the year is 19100. Of this B gets Rs.9600. Therefore, A would

get (19100 – 9600) = Rs.9500.
The partners split their profits in the ratio of their investments.

Therefore, the ratio of the investments of A : B = 9500 : 9600 = 95 : 96.

A invested Rs.10000 initially for a period of 4 months. Then, he withdrew Rs.2000.
Hence, his investment has reduced to Rs.8000 (for the next 5 months).
Then he withdraws another Rs.3000. Hence, his investment will stand reduced to Rs.5000

during the last three months.


So, the amount of money that he had invested in the company on a money-month basis

will be = 4 * 10000 + 5 * 8000 + 3 * 5000 = 40000 + 40000 + 15000 = 95000
If A had 95000 money months invested in the company, B would have had 96,000

money months invested in the company (as the ratio of their investments is 95 : 96).


If B had 96,000 money-months invested in the company, he has essentially invested

96000/12 = Rs.8000



65. Four horses are tethered at 4 corners of a square field of side 70 metres so that they just cannot reach one another. The area left ungrazed by the horses is:

Sol: The length of the rope in which the horses tied should be equal to half of the side of the

square plot so that they just cannot reach one another.

Therefore, the length of the rope is 35m (70/2).

The area covered by each horse should be equal to the area of sector with radius of 70/2 =

35m(length of the rope).

Total area covered by the four horses = 4* area of sector of radius 35 metres = Area of

circle of radius 35m.

Area left ungrazed by the horses = Area of square field - Area covered by four horses.


= 702 - (22/7)*35*35 = 4900 - 3850 = 1050 sq.m.





66. The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?



Sol: Let ‘a’ meters be the length of a side of the square field.

Therefore, its area = a2 square meters. --- (1)
We know that the length of the diagonal ‘d’ of a square whose side is ‘a’ meters =

a –-- (2)

From (1) and (2), we can deduce that the square of the diagonal = d2 = 2a2

Or d = meters.
The time taken to cross a length of 220 meters while traveling at 6.6 kmph is

given by (converting

1 km = 1000 meters and 1 hour = 60 minutes).

= 2 minutes



67. For what values of 'm' is y = 0, if y = x2 + (2m + 1)x + m2 - 1? x is a real number.

(1) m -2
(2) m < m =" 0" c =" 0)" d =" b2" mixture =" 0="" 2 =" 1" 1 =" 2" ratio =" 1" share =" 12" share =" 6"> A : B : C :: 3 : 2 : 4

The sum of the total wages = 3x + 2x + 4x = 432 => 9x = 432 or x = 48.
Hence A gets 3 * 48 = Rs. 144.

Aptitiude Questions Y5

51. If each edge of a cube is increased by 50%, find the percentage increase in its surface area.



Sol: Let the original length of each edge = a

Then, Original surface area = 6a^2

New surface area = 6 * (3a/2)^2 = 27a^2/2

Increase percent in surface area = (15/2a^2 * 1/(6a^2) * 100)% = 125%



52. Find the number of the bricks, each measuring 25 cm by 12.5 cm by 7.5 cm, required to build a wall 6 m long, 5 m high and 50cm thick, while the mortar occupies 5% of the volume of the wall.



Sol: Volume of the Wall = (600 * 500 * 50) cu. Cm.

Volume of the bricks = 95% of the volume of the wall.

= (95/100 * 600 * 500 * 50) cu. Cm.

Volume of 1 brick = (25 * 25/2 * 75/2) cu. Cm.

Therefore, Number of bricks = (95/100 * (600 * 500 * 50 * 2 * 10)/(25 * 25 * 75))=6080



53. The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.



Sol: Area of the field = Total cost/Rate = (333.18/24.68) hectares =13.5 hectares.

= (13.5*10000) m^2 =135000m^2.

Let altitude = x meters and base = 3x meters.

Then, ½ *3x* x= 135000 or x^2 = 9000 or x= 300.

Therefore, base =900 m & altitude = 300m.



54. Find the area of a rhombus one side of which measures 20cm and one diagonal

24cm.

Sol: Let, other diagonal = 2x cm,

Since halves of diagonals and one side of rhombus form a right angled triangle

with side as hypotenuse, we have:

(20)^2 =(12)^2+x^2 or x=Ö(20)^2-(12)^2 =Ö256=16 cm.

Therefore, other diagonal = 32 cm.



55. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?



Sol. Let the number of fill pipes be ‘n'. Therefore, there will be 8-n, waste pipes.
Each of the fill pipes can fill the tank in 8 hours. Therefore, each of the fill pipes will fill 1/8th

of the tank in an hour.
Hence, n fill pipes will fill n/8th of the tank in an hour.

Similarly, each of the waste pipes will drain the full tank in 6 hours. That is, each of the

waste pipes will drain 1/6th of the tank in an hour.
Therefore, (8-n) waste pipes will drain ((8-n)/6)th of the tank in an hour.

Between the fill pipes and the waste pipes, they drain the tank in 6 hours. That is, when all

8 of them are opened, 1/6th of the tank gets drained in an hour.

(Amount of water filled by fill pipes in 1 hour - Amount of water drained by waste pipes 1

hour)
= 1/6th capacity of the tank drained in 1 hour.







56. A pump can be used either to fill or to empty a tank. The capacity of the tank is 3600 m3. The emptying capacity of the pump is 10 m3/min higher than its filling capacity. What is the emptying capacity of the pump if the pump needs 12 more minutes to fill the tank than to empty it?



Sol. Let ‘f’ m3/min be the filling capacity of the pump. Therefore, the emptying capacity of the

pump will be = (f + 10 ) m3 / min.
The time taken to fill the tank will be = minutes
And the time taken to empty the tank will be = .
We know that it takes 12 more minutes to fill the tank than to empty it
i.e => 3600 f + 36000 - 3600 f = 12 (f2 + 10 f)
=> 36000 = 12 (f2 + 10 f) => 3000 = f2 + 10 f => f2 + 10 f - 3000 = 0.
Solving for positive value of ‘f’ we get, f = 50.
Therefore, the emptying capacity of the pump = 50 + 10 = 60 m3 / min



57. X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?



Sol. In one day X can finish 1/15th of the work.
In one day Y can finish 1/10th of the work.
Let us say that in one day Z can finish 1/Zth of the work.
When all the three work together in one day they can finish 1/15 + 1/10 + 1/Z = 1/5th of the

work.
Therefore, 1/Z = 1/30.
Ratio of their efficiencies = 1/15: 1/10: 1/30 = 2: 3: 1.Therefore Z receives 1/6th of the total

money.
According to their efficiencies money is divided as 240: 360: 120.
Hence, the share of Z = Rs. 120.



58. Pipe A usually fills a tank in 2 hours. On account of a leak at the bottom of the tank, it takes pipe A 30 more minutes to fill the tank. How long will the leak take to empty a full tank if pipe A is shut?



Ans:10 hours



Sol. Pipe A fills the tank normally in 2 hours. Therefore, it will fill ½ of the tank in an hour.

Let the leak take x hours to empty a full tank when pipe A is shut. Therefore, the leak will

empty of the tank in an hour.

The net amount of water that gets filled in the tank in an hour when pipe A is open and when

there is a leak = of the tank. — (1)
When there is a leak, the problem states that Pipe A takes two and a half hours to fill the tank. i.e.

hours. Therefore, in an hour, of the tank gets filled. – (2)
Equating (1) and (2), we get => => x = 10 hours.

The problem can also be mentally done as follows.

Pipe A takes 2 hours to fill the tank. Therefore, it fills half the tank in an hour or 50%

of the tank in an hour.
When there is a leak it takes 2 hours 30 minutes for the tank to fill. i.e hours to fill the

tank or or 40% of the tank gets filled.

On account of the leak, (50 - 40)% = 10% of the water gets wasted every hour.

Therefore, the leak will take 10 hours to drain a full tank.



59. How many number of times will the digit ‘7' be written when listing the integers from 1 to 1000?



Sol:7 does not occur in 1000. So we have to count the number of times it appears between 1 and

999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.

1. The numbers in which 7 occurs only once. e.g 7, 17, 78, 217, 743 etc
This means that 7 is one of the digits and the remaining two digits will be any of the other

9 digits (i.e 0 to 9 with the exception of 7)

You have 1*9*9 = 81 such numbers. However, 7 could appear as the first or the second

or the third digit. Therefore, there will be 3*81 = 243 numbers (1-digit, 2-digits and 3-

digits) in which 7 will appear only once.

In each of these numbers, 7 is written once. Therefore, 243 times.

2. The numbers in which 7 will appear twice. e.g 772 or 377 or 747 or 77

In these numbers, one of the digits is not 7 and it can be any of the 9 digits ( 0 to 9 with

the exception of 7).
There will be 9 such numbers. However, this digit which is not 7 can appear in the first

or second or the third place. So there are 3 * 9 = 27 such numbers.

In each of these 27 numbers, the digit 7 is written twice. Therefore, 7 is written 54 times.

3. The number in which 7 appears thrice - 777 - 1 number. 7 is written thrice in it.

Therefore, the total number of times the digit 7 is written between 1 and 999 is 243 + 54

+ 3 = 300





60. There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?



Sol: There are 2n ways of choosing ‘n’ objects. For e.g. if n = 3, then the three objects can be

chosen in the following 23 ways - 3C0 ways of choosing none of the three, 3C1 ways of

choosing one out of the three, 3C2 ways of choosing two out of the three and 3C3 ways of

choosing all three.

In the given problem, there are 5 Rock songs. We can choose them in 25 ways. However, as

the problem states that the case where you do not choose a Rock song does not exist (at

least one rock song has to be selected), it can be done in 25 - 1 = 32 - 1 = 31 ways.

Similarly, the 6 Carnatic songs, choosing at least one, can be selected in 26 - 1 = 64 - 1 =

63 ways.

And the 3 Indi pop can be selected in 23 = 8 ways. Here the option of not selecting even

one Indi Pop is allowed.

Therefore, the total number of combinations = 31 * 63 * 8 = 15624

Aptitiude Questions Y5

41. A sum of money doubles itself at C.I. in 15 years. In how many years will it become eight times?



Ans.45 years.



Sol: P [1 + (R/100)]^15 = 2P è [1 + (R/100)]^15 = 2……….(i)

Let P [1 + (R/100)]^n = 8P è P [1 + (R/100)]^n = 8 = 2^3

= [{1 + (R/100)}^15]^3.

è [1 + (R/100)]^n = [1 + (R/100)]^45.

è n = 45.

Thus, the required time = 45 years.



42. A certain sum amounts to Rs. 7350 in 2 years and to Rs. 8575 in 3 years. Find the sum and rate percent.



Ans: Sum = Rs. 5400,Rate=16 2/3 %.



Sol: S.I. on Rs. 7350 for 1 year = Rs. (8575-7350) = Rs. 1225.

Therefore, Rate = (100*1225 / 7350*1) % = 16 2/3 %.

Let the sum be Rs. X. then, x[1 + (50/3*100)]^2 = 7350.

è x * 7/6 * 7/6 = 7350.

è x = [7350 * 36/49] = 5400.

Therefore, Sum = Rs. 5400.



43. A, B and C start a business each investing Rs. 20000. After 5 months A withdrew Rs. 5000, B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each.



Ans. A’s share = Rs. 20,500

B’s share = Rs. 21200

C’s share = Rs. 28200



Sol: Ratio of the capitals of A, B and C

= (20000*5+ 15000*7) : (20000*5+16000*7): (20000*5+26000*7)

=205000: 212000 : 282000 = 205:212:282

Therefore, A’s share = Rs. ( 69900*205/699) = Rs. 20,500

B’s share = Rs. (69900*212/699) = Rs. 21200,

C’s share = Rs. (69900*282/699) = Rs. 28200.



44. Sanjiv started a business by investing Rs. 36000. After 3 months Rajiv joined him by investing Rs. 36000. Out an annual profit of Rs. 37100, find the share of each?



Sol: Ratio of their capitals= 36000*12:36000*9 = 4:3

Sanjiv’s share= Rs. ( 37100*4/7) = Rs. 21200.

Rajiv’s share = Rs. ( 37100*3/7) = Rs.15900.



45. If 20 men can build a wall 56m long in 6 days, what length of a similar wall can be built by 35 men in 3 days?



Ans. Length=49m.



Sol: Since the length is to be found out, we compare each item with the length as shown below.

More men, more length built (Direct).

Less days, less length built (Direct).

Men 20:35 :: 56: x

Similarly, days 6:3 :: 56: x.

Therefore, 20*6*x= 35*3*56 or x= 49.

Hence, the required length= 49m.



46.If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours a day; how much coal will be required for 8 engines, each running 13 hours a day, it being given that 3 engines of the former type consume as much as 4 engines of latter type.



Ans:26metric tonnes.



Sol: We shall compare each item with the quantity of coal.

Less engines, less coal consumed (direct)

More working hours, more coal consumed (direct)

If 3 engines of former type consume 1 unit, then 1 engine will consume 1/3 unit.

If 4 engines of latter type consume 1 unit, then 1 engine will consume 1/4 unit.

Less rate of consumption, less coal consumed (direct).

Therefore, number of engines 9:8 :: 24:x

Working hours 8:13 :: 24:x

Rate of consumption 1/3:1/4 :: 24:x.

9*8*1/3*x= 8*13*1/4*24 or x= 26.

Therefore, required consumption of coal 26 metric tonnes.



47. A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?



Ans.81



Sol: Remaining work = 1-4/7 =3/7.

Remaining period = (46-33) days =13 days.

Less work, less men (direct)

Less days, more men (indirect).

More hours per day, less men (indirect)

Therefore, work 4/7:3/7 ::117/x

Days 13:33 :: 117/x

Hrs/day 9:8:: 117/x

Therefore, 4/7*13*9*x= 3/7*33*8*117 or x= 198.

Therefore, additional men to be employed =(198-117) =81.



48. A garrison of 3300 men had provisions for 32 days, when given at the rate of 850gms per head. At the end of 7 days, reinforcement arrives and it was found that the provisions will last 17 days more, when given at the rate of 825gms per head. What is the strength of the reinforcement?



Ans: 1700



Sol: The problem becomes:

3300 men taking 850gms per head have provisions for (32-7) or 25 days. How many

men taking 825gms each have provisions for 17 days?

Less ration per head, more men (indirect).

Less days, more men (indirect)

Ration 825:850::3300:x

Days 17:25::3300:x

Therefore, 825*17*x= 850*25*3300 or x= 5000.

Therefore, strength of reinforcement = 5000-3300 = 1700.



49. Find the slant height, volume, curved surface area and the whole surface area of a cone of radius 21 cm and height 28 cm.



Sol: Slant Height, l = v(r^2 + h^2) =v(21^2 + 28^2) = v1225 = 35 cm

Volume = 1/3?r^2h = (1/3 * 22/7 * 21 * 21 * 28) cm^3 = 12936 cm^3

Curved surface area = ?rl = 22/7 * 21 *35 cm^3 = 2310 cm^2

Total Surface Area = (?rl + ?r^2) = (2310 + 22/7 * 21 * 21) cm^2 = 3696 cm^2



50. If the radius of the sphere is increased by 50%, find the increase percent in volume and the increase percent in the surface area.



Sol: Let the original radius = R. Then, new radius = 150/100 R = 3R/2

Original Volume = 4/3?R^3, New volume = 4/3?(3 R/2)^3 = 9?R^3/2

Original surface area = 4?R^2 , New surface area = 4?(3R/2)^2 = 9?R^2

Increase % in surface area = (5?R^2/4?R^2 * 100)% = 125%