General Awareness Questions for Bank Exams - 5

General Awareness Questions for Bank Exams - 5

1. Every year March 20 is celebrated as what day ?
(A) World Sparrow Day
(B) International Women's Day
(C) World Cuckoo Day
(D) International Child Day
(E) International Mother's Day
Ans: (A) A)

2. Invisible Export means export of–
(A) Services
(B) Prohibited goods
(C) Restricted goods
(D) Goods as per OGL list
(E) Other than those given as options
Ans: (A)

3. One of the famous Indian Sportsperson released his/her autobiography–'Playing to Win' in November 2012. Name the sports-person correctly–
(A) Saina Nehwal
(B) Mary Kom
(C) Yuvraj Singh
(D) Sachin Tendulkar
(E) Sushil Kumar
Ans : (A)

4. The NRIs while investing in the equity of a company cannot buy more than prescribed percentage of the paid up capital of that company .What is the prescribed percentage ?
(A) 2%
(B) 3%
(C) 4%
(D) 5%
(E) 6%
Ans : (D)

5. Government as part of the recapitalisation plan, infused capital in State Bank of India recently. Indicate the approximate capital infusion–
(A) Rs. 500 cr.
(B) Rs. 1000 cr.
(C) Rs. 1,500 cr.
(D) Rs. 2,000 cr.
(E) Rs. 3,000 cr.
Ans : (E)

6. Prof. Muhammad Yunus, the recipient of the Nobel Peace Prize 2006 is the exponent of which of the following concepts in the field of banking ?
(A) Core Banking
(B) Micro Credit
(C) Retail Banking
(D) Real Time Gross Settlement
(E) Internet Banking
Ans : (B)

7. Banks in India are required to maintain a portion of their demand and time liabilities with the Reserve Bank of India. This portion is called–
(A) Statutory Liquidity Ratio
(B) Cash Reserve Ratio
(C) Bank Deposit
(D) Reverse Repo
(E) Government Securities
Ans : (B)

8. The European Union has adopted which of the following as a common currency ?
(A) Dollar
(B) Dinar
(C) Yen
(D) Euro
(E) Peso
Ans : (D)

9. Who was the Captain of Australian Cricket Team, that visited India in 2013?
(A) Michael Clarke
(B) Shane Watson
(C) Shane Warne
(D) Michael Hussey
(E) Ricky Ponting
Ans : (A)

10. Who is the author of the book 'Women of Vision' ?
(A) Ravinder Singh
(B) Preeti Shenoy
(C) Amish Tripathi
(D) Durjoy Dutta
(E) Alam Srinivas
Ans : (E)

11. Which of the following term is associated with the game of Cricket ?
(A) Bouncer
(B) Love
(C) Goal
(D) Mid Court
(E) Collision
Ans : (A)

12. The Holidays for the Banks are declared as per–
(A) Reserve Bank Act
(B) Banking Regulation Act
(C) Negotiable Instruments Act
(D) Securities and Exchange Board of India Act
(E) Companies Act
Ans : (C)

13. In banking business, when the borrowers avail a Term Loan, initially they are given a repayment holiday and this is referred as–
(A) Subsidy
(B) Interest Water
(C) Re-phasing
(D) Interest concession
(E) Moratorium
Ans : (E)

l4. One of IT Company from India has become the first Indian Company to trade on NYSE Euronext London and Paris markets from February 2013 onwards. Which is this company ?
(A) Wipro Infotech Ltd.
(B) L&T Infotech
(C) HCL Technologies LTD.
(D) Infosys Technologies Limited
(E) Polaris Financial Technology Ltd.
Ans : (D)

l5. Banking Ombudsman is appointed by–
(A) Government of India
(B) State Governments
(C) RBI
(D) ECGC
(E) Exim Bank
Ans : (C)

l6. BSE (Bombay Stock Exchange), the oldest stock exchange in Asia has joined hands with one more International index in February 2013. This association has resulted in change of name of BSE index. What is the change of name effected ?
(A) Dow Jones BSE Index
(B) NASDAQ BSE Index
(C) S&P BSE Index
(D) Euronext BSE Index
(E) Other than those given as options
Ans : (C)

17. Interest on Savings deposit now-a-days is–
(A) Fixed by RBI
(B) Fixed by the respective Banks
(C) Fixed by the Depositors
(D) Fixed as per the contract between Bank and the Consumer Court
(E) Not pay by the Bank
Ans : (B)

18. The customers' by opening and investing in the Tax Saver Deposit Account Scheme in a bank would get benefit under–
(A) Sales Tax
(B) Customs Duty
(C) Excise Duty
(D) Professional Tax
(E) Income Tax
Ans : (E)

19. Pre-shipment finance is provided by the banks only to–
(A) Credit Card Holders
(B) Students aspiring for further studies
(C) Brokers in equity market
(D) Village Artisans
(E) Exporters
Ans : (E)

20. A non-performing asset is–
(A) Money at call and short notice
(B) An asset that ceases to generate income
(C) Cash balance in till
(D) Cash balance with RBI
(E) Balance with other banks
Ans : (B)

21. Interest below which a bank is not expected to lend to customers is known as–
(A) Deposit Rate
(B) Base Rate
(C) Prime Lending Rate
(D) Bank Rate
(E) Discount Rate
Ans : (B)

22. Government usually classifies its expenditure in term of planned and non-planned expenditure. Identify, which is the correct definition of Planned expenditure ?
(A) It represents the expenditure of all the State Governments
(B) It represents the total expenditure of the Central Government
(C) It is the expenditure which is spent through centrally sponsored programmes and flagship schemes of Government
(D) It represents the expenditure incurred on Defence
(E) Other than those given as options
Ans : (E)

23. Which of the following organization is made specifically responsible for empowering Micro, Small and Medium enterprises in India ?
(A) NABARD
(B) RBI
(C) SIDBI
(D) ECGC
(E) SEBI
Ans : (C)

24. The Union Budget for 2013-14 proposed by the Finance Minister on February 28, 2013 announced introduction of new variety of bonds by the Government. What is the name of these bonds ?
(A) Deep discount bonds
(B) Zero Coupon bonds
(C) Bullet Bonds
(D) Inflation Indexed Bonds
(E) Inflation Variable Bonds
Ans : (D)

25. RBI has released its guidelines for entry of new banks in the private sector in the month of February 2013. One of the norms is at least a prescribed percentage of branches of new bank should be set in unbanked rural centres with a population of upto 9,999 people. What is the percentage of such branches prescribed in the norms?
(A) 10%
(B) 15%
(C) 18%
(D) 25%
(E) Other than those given as options
Ans : (D)

iGATE Solutions - Verbal Ability

iGATE SOLUTIONS  - VERBAL ABILITY

Directions to solve
Each sentences below consist of a word or a phrase which is bold. It is followed by four words or phrases. Select the word or phrase which is close to the OPPOSITE in meaning of the bold word or phrase.

1) They took note of humility of the visiting dignitary.
a)  grandeur    
b)  arrogance
c)  friendliness
d)  decency
Ans: (b)

2) Harish displays enthusiasm whenever he is posed with a problem.
a) eagerness   
b) weakness
c)  indifference           
d) softness
Ans: (c)

3) I was surprised at his stiff attitude.
a) courteous  
b) flexible
c) soft
d) lively
Ans: (c)

4) It was done in a haphazard manner.
a) planned     
b) excellent
c) extraordinary         
d) designed
Ans: (a)

Directions to solve(5-9)

Many sociologists have argued that there is functional relationship between education and economic system. They point to the fact that mass formal education began in industrial society. They note that the expansion of the economies of industrial societies is accompanied by a corresponding expansion of their educational systems. They explain this correspondence in terms of the needs of industry for skilled and trained manpower, needs which are met by the educational system. Thus, the provision of mass elementary education in Britain in 1870 can be seen as a response to the needs of industry for a literate and numerate workforce at a time when industrial processes were becoming more complex and the demand for technical skills was steadily growing.

5)  The industry needs a literate work-force because
a)  its expansion needs sound learning
b)  it relies heavily on expertise
c)  it promotes a competitive spirit
d)  its operations need intricate technical knowledge

Ans: (d)

6) The author argues that
a) formal education can be traced to industrial society
b) industrial society is responsible for expansion of education at mass level
c) industrial society gave rise to vocational education
d) industrial society changed the pattern of education
Ans: (a)

7) The observation of the Sociologists are based on a study of
a) the statistical data available in a historical context
b) economic system of the 19th century
c) the correlation between industry and education in a historical context
d) growth of industry 19th century
Ans: (d)

8) The Sociologists referred to it in the passage say that the relationship between industry and   elementary education was one
a) based on mutual need
b) based entirely on the need of the industry
c) based entirely on economic need
d) based on some inexplicable historical forces
Ans: (b)

9) By 'functional relationship' is meant
a) a short-term relationship
b) practical and utilitarian relationship
c) temporary arrangement
d) close and unbreakable relationship
Ans : (b)

Directions to solve (10 – 12)

In each question, an incomplete statement is followed by fillers. Pick out the best one which can complete the statement correctly and meaningfully.

10) Despite his best efforts to conceal his anger ......

a)       we could detect that he was very happy

b)       he failed to give us an impression of his agony

c)        he succeeded in camouflaging his emotions

d)       he could succeed in doing it easily

e)       people came to know that he was annoyed

Ans: (e)

11) Even if it rains I shall come means ......
a)  if I come it will not rain
b)  if it rains I shall not come
c)  I will certainly come whether it rains or not
d) whenever there is rain I shall come
e) I am less likely to come if it rains
Ans: (c)

12) His appearance is unsmiling but ......
a) his heart is full of compassion for others
b) he looks very serious on most occasions
c) people are afraid of him
d) he is uncompromising on matters of task performance
e) he is full of jealousy towards his colleagues
Ans: (a)

Directions to solve (13 – 17)

Read the passage and then answer the questions.

Today perhaps your only association with the word 'polio' is the Sabin Oral Vaccine that protects children from the disease. Fifty five years ago this was not so. The dreaded disease, which mainly affects the brain and spinal cord, causing stiffening and weakening of muscles, crippling and paralysis - which is why I am in a wheelchair today. If somebody had predicted, when I was born, that this would happen to me, no one would have believed it. I was seventh child in a family of four pairs of brothers and sisters, with huge 23 year gap between the first and last. I was so fair and brown haired that I looked more like a foreigner than a Dawood Bohri. I was also considered to be the healthiest of the brood.

13) In his childhood, the narrator was
a) a weakling 
b) very healthy
c) tall and slim           
d) short and stout
Ans: (b)

14) In this passage, the word 'brood' refers to
a) polio victims          
b) foreign children
c) children in the family        
d) Indian Children
Ans: (c)

15) The narrator was the seventh child in a family of
a) 8 children   
b) 16 children
c) 23 children 
d) 4 children
Ans: (a)

16) In this passage, the narrator is a patient of
a) heart disease          
b) polio
c) paralysis     
d) nervous weakness
Ans: (b)

17) In his childhood, the narrator looked "more like a foreigner than a Dawood Bohri" This was because he was
a) a foreign child       
b) a very healthy boy

c) tall and smart         
d) fair and brown haired

Ans: (d)

 Directions to solve

In each question below, there is a sentence of which some parts have been jumbled up. Rearrange these parts which are labelled P, Q, R and S to produce the correct sentence. Choose the proper sequence.

18) When he
P)   did not know
Q)   he was nervous and
R)   heard the hue and cry at midnight
S)   what to do

a) RQPS                    b) QSPR           c) SQPR                    d) PQRS
Ans: (a)

19) It has been established that
P)    Einstein was
Q)   although a great scientist
R)   weak in arithmetic
S)   right from his school days

a)SRPQ                b)QPRS                 c)QPSR                 d)RQPS
Ans: (b)

20) Then
P)   it struck me
Q)  of course
R)  suitable it was
S)  how eminently

a) SPQR               b) QSRP                                c) PSRQ                d) QPSR
Ans: (c)

 

 

Syntel - Reasoning

Syntel – Reasoning

Amit is the son of Rahul. Sarika, Rahul's sister has a son Sonu and a daughter Rita.
Raja is the maternal uncle of Sonu.

1. How is Amit related to Sonu?
a) Nephew 
b) Cousin(brother)   
c) uncle     
d) brother
e) none of these
Ans: (b)

2. How is Rita related to Raja?
a) sister  
b) daughter  
c) niece     
d) aunt
e) none of these

Ans: (c)

3. How many nephews does raja have?
a) 1
b) 2  
c) 3  
d) 4  
e) none

Ans: (b)

4. What is the relationship of Raja with Rita?
a) uncle   
b) brother  
c) maternal uncle    
d) nephew
e) can’t be determined

Ans: (c)  (Uncle also is an answer. But since maternal uncle is there in the choice that’s the     answer)

5. In recommending to the board of trustees a tuition increase of $500 per year, the president of the university said "There were no student demonstrations over the previous increases of $300 last year and $200 the year before". If the president's statement is accurate then which of the following can be validly inferred from the information given?

I. Most students in previous years felt that the increases were justified because of increased operating costs.
II. Student apathy was responsible for the failure of students to protest the previous tuition increases.
III. Students are not likely to demonstrate over new tuition increases.
(a) I only

(b) II only
(c) I or II but not both
(d) I, II and III
(e) None
Ans: (a)

Answer the questions that follow based on the information given below.

The office staff of XYZ Corporation presently consists of three bookkeepers: A, B, C and 5 secretaries D, E, F, G, H. The management is planning to open a new office in another city using 2 bookkeepers and 3 secretaries of the present staff . To do so they plan to separate certain individuals who don't function well together. The following guidelines were established to set up the new office

I. Bookkeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team
II. C and E function well alone but not as a team, they should be separated
III. D and G have not been on speaking terms and shouldn't go together
IV. Since D and F have been competing for promotion they shouldn't be a team

6. If A is to be moved as one of the bookkeepers, which of the following cannot be a possible working unit.

A) ABDEH
B) ABDGH
C) ABEFH
D) ABEGH
Ans: (B)

7. If C and F are moved to the new office, how many combinations is possible

A) 1
B) 2
C) 3
D) 4
Ans: (A)

8. If C is sent to the new office, which member of the staff cannot go with C?

A) B
B) D
C) F
D) G
Ans: (B)

9. Under the guidelines developed, which of the following must go to the new office

A) B
B) D
C) E
D) G
Ans: (A)

10. If D goes to the new office, which of the following is/are true

I.   C cannot go
II.  A cannot go
III. H must also go

A) I only
B) II only
C) I and II only
D) I and III only
Ans: (D)

After months of talent searching for an administrative assistant to the president of the college the field of applicants has been narrowed down to 5: A, B, C, D, and E. It was announced that the finalist would be chosen after a series of all-day group and personal interviews were held. The examining committee agreed upon the following procedure

I. The interviews will be held once a week
II. Three candidates will appear at any all-day interview session
III. Each candidate will appear at least once
IV. If it becomes necessary to call applicants for additional interviews, not more than one such applicant should be asked to appear the next week
V. Because of a detail in the written applications, it was agreed that whenever candidate B appears, A should also be present.
VI .Because of travel difficulties it was agreed that C will appear for only one interview.

11. At the first interview the following candidates appeared A, B and D. Which of the following combinations can be called for the interview to be held next week?

A) BCD
B) CDE
C) ABE
D) ABC
Ans: (B)

12. Which of the following is a possible sequence of combinations for interviews in two successive weeks?

A) ABC;  BDE
B) ABD;  ABE
C) ADE;  ABC
D) BDE;  ACD
Ans: (C)

13. If A ,B and D appear for the interview and D is called for additional interview the following week, which 2 candidates may be asked to appear with D?

I.    A
II.   B
III.  C
IV.  E
A) I and II
B) I and III only
C) II and III only
D) III and IV only
Ans: (D)

14. Which of the following correctly state(s) the procedure followed by the search committee

I.  After the second interview all applicants have appeared at least once
II. The committee sees each applicant a second time
III. If a third interview, it is possible for all applicants to appear at least twice

A)   I only
B)   II only
C)   III only
D)  Both I and II
Ans: (A)

15. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?
Ans: 991.
It’s a simple trial and error method.

Let us assume the number of mice killed as 10,00,000. Since each cat killed equal number of mice there should 1000 cats and each cat would have killed 1000 mice. But, this is contrary to the information that each cat killed more number of mice than the number of cats.

The total mice killed were 999919. This is 81 less than our assumed figure of 10,00,000. Since each cat killed an equal number of mice, there should be 9 cats less than our figure of 1000 cats. Thus we have the number of cats as 991 and each cat killed 1009 mice which is more than the number of cats.

16. One dog tells the other that there are two dogs in front of me. The other one also shouts that he too had two behind him. How many are they?
Ans: Three.

17. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?
Ans: Eight.

Let ‘x’ be the number of bananas he ate on the first day. Then we have the following information.

Day 1                                                     he ate        x                         bananas

Day 2                                                     he hate     x + 6                  bananas

Day 3                                                     he hate                    x + 12                bananas

Day 4                                                     he hate     x + 18                bananas

Day 5                                                     he hate     x + 24                bananas

Thus is 5 days                                     he hate    5x + 60              bananas.

In 5 days he hate totally 100 bananas.

Hence, we have an equation    5x + 60 =100 solving we get the value for x as 8.

He ate 8 bananas on the first day.

18. Find the correctly spelt words

A)  Friming    
B)  Burnning
C)  Running
D)  Fryng

Ans: (C)

19.  Find the correctly spelt words

A)  Puerrile    
B)  Puerrille
C)  Purrile      
D)  Puerile
Ans: (D)

20. Find the correctly spelt words   

A)  Velnerable 
B)  Vulnarable
C)  Vulnerable 
D)  Valnerable
Ans: (C)

Directions to Solve

In the following questions which of the phrases given below each sentence should replace the phrase printed in bold type to make the sentence grammatically correct? If the sentence is correct as it is, mark 'E' as the answer

21) The moment they saw me, they were delight

A)  had delighted      
B)  were delighted
C)  are delighted       
D)  have been delighted
E)  No correction required
Ans: (B)

22) He should not had done it.

A) had not    
B) should had not
C) should not have   
D) should have
E)  No correction required

Ans: (C)

23) No sooner do the bells ring than the curtain rose.

A) did the bell ring     

B) did the bells ring
C) had the bell rang  
D) had the bell rung
E) No correction required
Ans: (B)

Directions to Solve
In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence

24) A disease of mind causing an uncontrollable desire to steal
A) Schizophrenia      
B) Claustrophobia
C) Kleptomania        
D) Magolomania
Ans: (C)

25) One who scarifies his life for a cause
A) Patriot     
B) Martyr
C) Revolutionary      
D) Soldier
Ans: (B)

26) A person who brings goods illegally into the country
A) Importer  
B) Exporter
C) Fraud       
D) Smuggler
Ans: (D)

27) To take secretly in small quantities
A) Robbery  
B) Pilferage
C) Theft        
D) Defalcation

                Ans: (B)

Wipro - Reasoning & Quans - 1

Wipro – Reasoning & Quans - 1

The following questions consist, of two words each that have a certain relationship to each other followed by four lettered pairs of words. Select the lettered pair that has the same relationship as the original pair in bold letters.

1.       PEN : NIB

(a)    Book : Knowledge           (b) Sword : Blade             (c) Radio : Transistor       (d) Nut : Bolt.

Ans: (b)  (Second is the top of the first)

2.       PARTRIDGE : COVEY

(a)    Directors : Band                                (b) Mountain : Range     (c) Sheep : Swarm          

(d)  Goods : Consignment

Ans: (d)  (Second is the collection of the first)

3.       FISH : AQUARIUM

(a)    Teacher : Hostel               (b) Bee : Apiary                 (c) Bird : Nest                     (d) Child : School

Ans: (b)  (The first is reared in the second)

Pick out the most effective word from the given words to fill in the blank to make the sentence meaningfully complete.

4.       A man who connives -------------- the faults of his children is their worst enemy.

(a)    With                      (b) at                     (c) of                     (d) in

Ans: (b)

5.       Some people revel -------- gossip.

(a)    At                           (b) with                (c) by                     (d) in

Ans: (d)

6.       The officer warned me ---------- the office until five O’clock.

(a)    Don’t leave         (b) to leave         (c) to not leave                 (d) not to leave

Ans: (d)

7.       The product of two numbers is 1320 and their HCF is 6. The LCM of the number is:

(a)    220                         (b) 1314                (c) 1326                (d) 7920

Ans: (a) The product of the numbers is equal to HCF x LCM

8.       The average age of 30 kids is 9 years. If the teachers age is included the average becomes 10 years. What is the teacher’s age?

(a)    30                           (b) 25                    (c) 40                     (d) none of these

Ans: (c)

The total age of 30 kids -> 30 x 9 -> 270. 

Including the teacher the number becomes 31 and the average 10.

Total age of kids + teacher -> 31 x 10 -> 310.

Hence the age of the teacher is 310 – 270 -> 40 years.

9.       A, B and C can complete a piece of work in 24, 6, and 12 days respectively. If they work together then in how many days the work will be over?

(a)    1/24 days             (b) 7/24 days      (c) 3 and 3/7 days             (d) 4days

Ans: (c)

A, B and C together in one day can complete ----  1/24 + 1/6 + 1/12 -> 7/24 work.

Hence, they will complete the whole work in 24/7 days ->  3 and 3/7 days.

10.   Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. What is the ratio of their speeds?

(a)    1 : 3                        (b) 3 : 2                 (c) 3 : 4                  (d) None of these

Ans: (b)

Let the speed of one train be ‘X’ and the other train ‘Y’.

Then the length of the first train is 27X and the length of the second train is 17Y.

The trains running in opposite directions cross each other in 23 seconds. In this time they travel the length of both the trains.

Hence we have ->  (27X + 17Y)/ X + Y = 23  ( Length / speed = time)

Reducing the above we have -> 27X + 17Y = 23X + 23Y. Reducing further we get 2X = 3Y or

X/Y  = 3/2.

Hence the ratio of their speeds is  3 : 2.

11.   A & B are children of D. Who is the father of A? To answer this question which of the statements (1) and (2) is necessary?

(1)    C is the brother of A and son of C

(2)    F is the mother of B

(a)    Only (1)                                (b)  Only (2)        (c)  either (1) or (2)          (d) both (1) and (2)

Ans: (b)

12.   If P $ Q means P is the brother of Q. P # Q means P is the mother of Q.  P * Q means P is the daughter of Q.

In A # B $ C * D who is the father?

(a)    D                             (b)  B                     (c)  C                      (d) Data inadequate.

Ans: (a)

A is the mother of B. B is the brother of C and C is the daughter of D. Hence D is the father.

                 

TCS - Recent Questions - 3

TCS – Recent Questions - 3

1.       Analyzing the good returns that Halocircle Insurance Pvt Ltd was giving, Ratika bought a one year, Rs 10,000 certificate of deposit that paid interest at an annual rate of 8% compounded semi-annually. What was the total amount of interest paid on this certificate at maturity?

Ans: Rs 816.00

Compound Interest is given by the formula ->   P(1+R/100)ⁿ – P  (Where P is the principal, R the rate of Interest and n the period of the deposit.)

In this case the annual rate is 8% but paid semi-annually. Hence R is half of 8% -> 4%. The certificate tenure in one year and the interest received is twice in the year. Hence n will be 2. Applying  these information in the above formula we get the answer as Rs 816.00

2.       Juan is a gold medalist in athletics. In the month of May, if Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

Ans: 11x/y  (Very simple needs no explanation)

3.       A certain company retirement plan has a rule of 70 points that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?

Ans: Year 2005.

A tricky question and reader’s normal answer would likely be year 2024.

At the time of joining the female employee has already 32 points in the form of her age. She has to accumulate further 38 points before considered for retirement. Now comes the reasoning part. Every year she accumulates one point for service and another point for her age. In other words, she accumulates 2 points every year and would take 19 years of service to accumulate the required 38 points.

She joined in the year 1986 and will retire in 1986 + 19 -> 2005

4.       Homeowners aged 40 to 50 are more likely to purchase ice cream and are more likely to purchase it in larger amounts than are members of any other demographic group. The popular belief that teenagers eat more ice-cream than adults must, therefore, is false. The argument is flawed because the author _____

Ans: has failed in distinguishing between purchase and consumption. He is trying to correlate the large purchase of one demographic group to the consumption pattern of the other demographic group.

5.       Andalusia has been promoting the importance of health maintenance. From January 1, 1991 to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1, 1993 was 45 million. How many million people (to the nearest million) were enrolled in health maintenance organizations on January 1, 1991?

Ans: 39.13 million (approx)

Let as assume the number of enrollment on 1^st January, 1991 as 100. This has increased to 115 (15% increase) on 1^st January 1993. Since we have taken the base as 100 we can assume the enrollment in 1993 as 115%.

115% is equal to 45 million.

Hence 100% ->  45 x 100/115 -> 39.13 million (Approx).

If the question were to say the enrollment increased by 15% every year then the answer will be different which please note.

6.       What is the lowest possible integer that is divisible by each of the integers from 1 to 7?

Ans: 420.

Find the LCM of 1, 2, 3, 4, 5, 6, and 7.

7.       If the area of a square region having sides of length 6 cm is equal to the area of a rectangular region having width 2.5 cm, then the length of the rectangle, in cm is how much?

Ans: 14.4 cm.

The area of the square is 6 x 6 = 36 sq.cm. This is equal to the area of the rectangle.

The width of the rectangle is 2.5 cm. Hence, the length of the rectangle is

36/2.5 -> 14.4 cm.

8.       A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2500 gallons of water evaporate from the tank, in the remaining solution approximately what percentage of sodium chloride is there?

Ans: 6.67%

5% Sodium Chloride by volume in 10,000 gallons of solution is 500 gallons.

This remains as such though 2500 gallons of water evaporates and the present volume of solution is 10,000 – 2500 -> 7500 gallons. In this solution the volume of Sodium Chloride is 500 gallons.

Hence percentage of Sodium Chloride in the remaining solution is -> 500/7500 x 100 = 6.67% (approx).

9.       At the loading dock, each night crew worker loaded 3/4 as many boxes as each day crew worker had loaded on the day. If the night crew has 4/5 as many workers as the day crew, then what fraction of all the boxes loaded by the two crews did the day crew load?

Ans: 5/8

For convenience sake let us assume there are 5 workers in the day crew. Then the night crew will have 4/5 of 5 equaling 4 workers.

We now know the day crew are 5 workers and the night crew 4 workers.

Again for convenience sake let us assume that each day crew worker loads 4 boxes.

Then each night crew worker will be loading ¾ of 4 equaling 3 boxes.

Thus each day crew worker loads 4 boxes and each night crew worker loads 3 boxes.

Hence in a day, the total number of boxes loaded is

Day crew -> 4 x 5 -> 20 boxes.

Night crew   3 x 4 -> 12 boxes

Total                       -> 32 boxes.    The fraction of boxes loaded by day crew in this is

20/32 -> 5/8

10.   A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon and 80 % of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

Ans: 4 dozen rolls

Supply received 40 dozen rolls of which 50% (half) were sold by noon.

Remaining rolls at noon 40 – 20 -> 20 dozen rolls. Of this 80% were sold by the evening.

80% of 20 -> 16 dozen rolls were sold by the evening.

Hence remaining rolls were ->  40 – 20 – 16 ->  4 dozen rolls.

11.   A dealer originally bought 100 identical batteries at a total cost of q rupees. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many rupees each battery was sold?

Ans: 1.5q/100 (Simple. No explanation is required.)

12.   The price of lunch for 15 people was 207 pounds, including a 15 percent gratuity of service. What was the average price per person, EXCLUDING the gratuity?

Ans: 12 pounds.

Let ‘x’ pounds be the net price of lunch for 15 people. Including the 15% gratuity

The total price becomes -> x + 0.15x -> 1.15x pounds. This is equivalent to 207 pounds.

Hence ‘x’ is equal to 207/1.15 -> 180 pounds

Hence the average prices for each person -> 180/15 -> 12 pounds.

  

CSC - Aptitude

CSC - Aptitude

1.       One year ago, the ratio of Roonie’s and Ronaldo’s age was 6: 7 respectively. Four years hence, this ratio would become 7: 8. How old is Ronaldo ?

                Ans-36 years

                Let the ages of Roonie and Ronaldo one year ago be X and Y.

One year ago the ratio of their ages was   X : Y ::  6 : 7  This will give you the value of Y as 7X/6   ----------- (a)

After four years from now the ratio of the ages will become  (X+5) :  (Y+5)  ::  7 : 8

è 8X + 40 = 7Y + 35 -> 7Y = 8X + 5  Substituting the value of Y from (a)

We have 7 x 7X/6 = 8X + 5 -> 49X = 48X + 30 -> X = 30 and Y = 35.

Ronaldo’s present age is Y+1 -> 35 + 1 = 36 years.

2.       In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs. 10 per kg ?

Ans-8:7

                                                                                9.30                                        10.80

                         

                                                                                                                      10.00              

                                                                                0.80                                        0.70

Using the Rule of Alligation we find the ratio as 8 : 7.

               

3.       One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field.

Ans-120m²

Using Pythagoras theorem we find the length of the other side as 8 m and hence the area is

15 x 8 = 120 sq.m

4.       A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. meter

Ans- Rs 680

The overall area of the grassy plot is 110 x  65 -> 7150 sq. meters.

The gravel path is 2.5 m wide all around. This would reduce the dimensions of the remaining grassy plot by 5 m on all sides.

Hence the area of the grassy plot after applying the gravel path is  105 x 60 -> 6300 sq. meters.

Hence, the area of the gravel path is  7150 – 6300 = 850 sq.mtrs.  The cost of gravelling the path at the rate of 0.80 paise per sq.mtr  will be 850 x 0.80 ->  Rs 680.00

5.       There are two sections A and B of a class consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class?

Ans-37.25 kg

The total weight of Section A   ->       40 x 36 ->  1440 kg

The total weight of Section B   ->       35 x 44 ->   1540 kg.

Total weight of both sections (80 students)  ->   2980 kg

Hence the average weight of whole class ->    2980 / 80 = 37.25 kgs

6.       The milk and water in two vessels A and B are in the ratio 4 : 3 and 2: 3 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C containing half milk and half water?

Ans-7 : 5

This is a tricky question. In vessel A milk is 4 parts out of total 7 parts.

In vessel B milk is 2 parts out of total 5 parts. Hence, the temptation to answer the question will be 1 : 1

The question is in what ratio the liquids in both the vessels are to be mixed. If the liquids are mixed in the ratio of the total parts in the two vessels then the vessel C into which these are poured will have half milk and half water.

Hence the answer is ->  7 : 5.

7.       Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44.Find the largest number.

Ans-72

Let the first number be ‘x’. Then the second number is ‘2x’ and the third number be ‘y’.

Since the average of the three numbers is 44 the total of the three numbers is 132.

Hence we have the equation  x + 2x + y = 132. We are informed the second number is thrice the third number.   Hence, we have 2x = 3y or y = 2x/3. Substituting this value of Y

We have a new equation  x + 2x + 2x/3 = 132.Solving we get the value of ‘x’ as 36.

Applying this value, we get the three numbers as  36, 72 and 24.

Hence the largest number is 72.

8.       Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are queen?

Ans-55/221

Probability (Black or Queen) =  P(Black ) + P(Queen) – P(Black, Queen)

è 26C2 + 4C2 – 2C2 -> 660/2652 ->  55/221

9.       A bag contains 6 white and 4 black balls. 2 balls are drawn at random. Find the probability that they are of same color.

Ans-7/15

                (6C2 + 4C2)/10C2

10.   A, Band C are three contestants in a km race. If A can give B a start of 40 m   and A can give C a start of 64m how many meters’  start can B give C ?

Ans:  25 meters.

When A covers 1000 meters, B covers 960 meters and C covers 936 meters.

Thus when B runs 960 meters C can run only 936 meters.

In other words in a race of 960 meters B can give C a start of 24 meters.

Thus in a race of 1000 meters ( One Km) B can give C a start of

(24 * 1000)/ 960 -> 25 meters.