iGATE (Patni) - Reasoning

iGATE – (Patni) - Reasoning

Directions (Q. 1-5): Answer the questions on the basis of the information given below.

A photo-shoot is to be done involving 9 people A, B, C, D, E, F, G, H and I. They are sitting in a row from left to right, all facing the camera. Only 3 of them are formally dressed of which one is a female. Furthermore, A, F and G are males. D and I are females. B is a formally dressed male and C is a formally dressed female. The two extreme seats on either side are occupied by males and females respectively.

1.       In how many different ways can we select 3 persons from the group such that there is at least one male and that E and H is never selected?

(a) 63

(b) 32

(c) 24

(d) 34

(e) Can't say

Ans: (d)

Excluding E and H, there remains 7 persons of whom 4 are males and 3 women.

The condition is that there should be at least one male should be selected. It doesn’t restrict that only one male to be selected. Hence, the selection could be:

1 male and 2 females ->   4C1 x 3C2 -> 4 x 3 = 12

2 males and 1 female ->   4C2 x 3C1 -> 6 x 3 = 18

All the 3 males ->               4C3            ->                4

Total Number of ways                                           34

2.       Which of the following statements provides sufficient information to determine, with respect to each and every person, whether the person is a male or female and whether the person is formally dressed or not?

(a) I is a formally dressed male.

(b) H is a formally dressed female.

(c) A is a formally dressed male.

(d) E is a formally dressed male.

(e) None of these

Ans: (d)

3.       If H is a male who is not formally dressed, then which of the following is/are necessarily false?

I. A sits sixth from the left in the row.

II. B sits seventh from the right in the row.

III. H sits fourth from the left in the row.

IV. D sits second from the right in the row.

(a) Only I

(b) Only II and III

(c) Only I and III

(d) Only II and IV

(e) Only IV

Ans: (c)

4.       Assume that E is a formally dressed female. If all the formally dressed persons must sit on the three right most seats, which of the following is/are NOT an acceptable sitting sequence(s) from left to right?

(I) ADFIGHCBE

(II) GIFDAHEBC

(III) IADFHGCBE

(IV) HGIAFDEBC

(a) I, II and IV

(b) II and III

(c) I and IV

(d) II and III

(e) None of these

Ans: (a) (The answer is little ambiguous)

5.       Let E be a male who is formally dressed. The photograph would not turn out to be good if three or more persons who are not formally dressed sit together. Which of the following information’s is/are sufficient to infer the position at which C sat (from left) in a photograph that turns out to be good?

I. The formally dressed person sat fifth from the left.

II. The formally dressed person sat second from the right.

III. The formally dressed person sat first from the right.

IV. The formally dressed person sat third from the right.

(a) Only I

(b) I and IV

(c) II and III

(d) III and IV

(e) Only IV

                Ans: (c)

Directions (Q. 6-10): Below in each question are given two statements (A) and (B). These statements may be either independent causes or may be effects of independent causes or of a common cause. One of these statements may be the effect of the other statements. Read both statements and decide which of the following answer choices correctly depicts the relationship between these two statements.

Mark answer (a): in statement (A) is the cause and statement (B) is its effect.

Mark answer (b): if statement (B) is the cause and statement (A) is its effect.

Mark answer (c): if both the statements (A) and (B) are independent causes.

Mark answer (d): if both the statements (A) and (B) are effects of independent causes.

Mark answer (e): if both the statements (A) and (B) are effects of some common cause.

6.       A.     XYZ state government has released Rs. 50 crores to strengthen the Panchayati Raj      Institutions in the state.

B.    The third State Finance Commission of the state XYZ has been constituted to improve the financial position of the state.

Ans: (e)

7.       A.     Some of the world's best-known names in hotels are planning to invest heavily in India.

B.     Demand for hotel rooms is soaring in India as its economy blossoms.

Ans: (b)

8.       A.     The state XYZ has taken a new initiative to provide to pregnant women free transport facility to the nearest hospital in case of an emergency and the facility will be available round the clock.

B.     The state XYZ has requested its power consumers to become a vigilant customer, and advised them to report power theft to the nearest power station.

Ans: (d)

9.       A.    There have been huge investment coming in the software industry, financial services and manufacturing in the country 'X'

B.    The country 'X' is confident that foreign direct investment inflows during the current year will cross $11 billion.

Ans: (a)

10.   A.   The bank XYZ has launched 'Easy Cash Card', India's first loan disbursement card.

B.   The loans disbursed through cheques or drafts compel customers often to wait for the proceeds to be credited to their accounts to be able to use the funds.

Ans: (b)

11.   An empty fuel tank of a car was filled with A type of petrol. When the tank was one-third empty, it was filled with B type of petrol. Again, when the tank was one-third empty, it was filled with A type of petrol. Again, when the tank was one-third empty it was filled with B type of petrol. At this time what was the percentage of B type of petrol in the tank?

(a) 51 %

(b) 48 %

(c) 49 %

(d) 50 %

(e) None of these

Ans: (b)

                                                            Petrol A                             Petrol B

Initially let us assume                     300 ltrs                                       --

First filling                                         200 ltrs (remaining)         100 ltrs.        Ratio A : B :: 2 : 1

Second filling            133 (remaining) + 100 = 233                  100 – 33 = 67 (remaining)   78:22

Third filling                233 – 78 = 155 (remaining)                      67 – 22 + 100 = 145

Percentage of petrol B type -> 145/300 * 100 -> 48.33% say 48%               

12.   Approximately what will be the compound interest on a sum of Rs. 37,000 after four years at the rate of 12 percent per annum?

(a) Rs. 17,760

(b) Rs. 21,220

(c) Rs. 18.870

(d) Rs. 14,982

(e) Rs. 19,760

Ans: (b)    (Apply the formula ->    P(1 + R/100)ⁿ

13.   The length of a rectangle increases by 20% and the breadth by 30%. Then the perimeter of the rectangle will increase by

(a) 56%

(b) 25%

(c) 23 %

(d) Data inadequate

(e) None of these

Ans: (c) 

Assume an arbitrary figure say length 20ft and breadth 10 ft.

Then perimeter is 60 ft.

When length is increased by 20% and breadth by 30% the new length and breadth will be

24ft and 13ft respectively.

The new perimeter will be 74ft and the increase is 14ft.

The percentage increase will be 14/60 * 100 = 23% (approx)

CTS - Reasoning - 5

CTS – Reasoning - 5

1.       If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100 (both inclusive) varies by:

Ans: 330

2.       The total no. of numbers that are divisible by 2 or 3 between 100 and 200(both inclusive) are:

Ans: 67 (divisible by 2 – 51 Nos. Divisible by 3 – 16 Nos (excluding numbers already included under divisible by 2.)

3.       From a pack of cards Jack, Queen, King & Ace are removed. Then the algebraic sum of rest of the cards is:

Ans: 216

4.       The average temperature from Monday to Wednesday is 37 degree Celsius and that from Tuesday to Thursday is 34 degrees. The temperature of Thursday is 4/5th of Monday. Then the temperature of Thursday is:
Ans: 36 degrees

The Total Temperature from Monday to Wednesday = 37 * 3 = 111

The total Temperature from Tuesday to Thursday       = 34 * 3 = 102.

Let the temperature on Monday be ‘x’.

Then the temperature on Tuesday and Wednesday = 111 – x.

We are informed the temperature on Thursday was 4/5 of Monday -> 4x/5

So we have an equation. Total temperature from

Tuesday to Thursday =  111 – x + 4x/5 = 102.

Solving, we get the value of ‘x’ as 45.

Hence the temperature on Thursday -> 45 * 4/5 = 36 degrees.

5.       Swetha, Tina, Uma and Vidya are playing a game. In this different people lose in different games-in the reverse alphabetical order. The rule is that if one loses she should double the amount of others. At the end of 4th game each of them have same amount of money (Rs.32). Which one of them started with the least amount?

Ans: Vidya

6.       Which one of them started with the largest amount of money?

Ans: Swetha

7.       At the end of the 2nd game what is the amount of money with Uma?
Ans: Rs.8

( It’s a trial and error game. Better to start from the end and move upwards working out the various possibilities. The clue is losing in the reverse alphabetical order)

8.       A cube of 12 mm is painted on all its side. If it is cut into small cubes of size 3mm then the  number of small cubes that remain unpainted is:

Ans: 8
For Cube sums, remember the following formulae:

When a cube of size ‘n’ is cut into small cubes of equal dimension ( e.g.6 unit cube cut into 1 unit small cubes then you will have totally 6 * 6 * 6 = 216 small cubes.

If it is cut into 2 unit small cubes then 6/2 = 3 and the number of small cubes will be

3 * 3 * 3 = 27. If it is cut into small cubes of 3 units each then the number of small cubes will be 6/3 = 2 ->  2 * 2 * 2 = 8 small cubes.)

The total number of small cubes is given by n³ (where ‘n’ is the size of the main cube side divided by the unit into which it is cut)

No. of cubes coloured on three sides is always  ---- 8 (The top and bottom four corner pieces)

No of cubes coloured on 2 sides is given by ----  12(n-2)

No of cubes coloured on one side                 -----    6(n-2)²

No of cubes having no colour                         -----      (n-2)³

Using the above formula the answer to the question is -> (4 – 2)³ = 8

9.       B is 50% faster than A. If A starts at 9 A.M. and B starts at 10 A.M. A travels at a speed of 50 km/hr. If A and B are 300 km apart, at the start and travels towards each other, then at what time will they meet?  

Ans: 12 noon

The distance between A and B is 300 km and they travel towards each other.

A’ speed is 50kmph. B is 50% faster than A. Hence B’s speed is 75kmph.

A starts at 9 A.M. and B starts at 10 A.M.

A would have covered 50 km in the one hour time difference. Now the distance between A and B is reduced to 250 km.

The relative speed of A and B is (50 + 75) = 125 kmph (Pl note they travel in opposite direction)

Hence to cover the distance of 250km it would take 250/125 = 2 hours. Hence A and B will meet at 10 A. M plus 2 hours -> 12.00 noon.

10.   The ratio of white balls and black balls is 1:2. If 9 grey balls is added it becomes 2:4:3. Then what is number of black balls.

Ans: 12
The new ratio after 9 grey balls are added is W : B : G  =  2 : 4 : 3.

Now 3 parts of Grey is equal to 9 and hence one part is 3.

So, the number of Black balls is 3 * 4 = 12.  

11.   You are having 31kg of rice. You are provided with a 1kg stone for weighing. In how many weighing’s the 31kg of rice can be weighed.

Ans: 5

First Weighing – Weigh 1 kg and remove from the heap. Put the remaining 30 Kg on both the pans so that the weight is the same on both the pans. This equals 15 kg on either side.

Second weighing – Keep aside one 15 kg and weigh one kg from the remaining 15 kg and keep aside. This will leave 14 kg which split into two parts on the pans so that the weights are same. Now each pan has 7 kg rice.

Third weighing – Keep aside 7 kg and weigh one kg from the remaining 7 kg and keep the same aside. Now, we have 6 kg and this please put on both the pans so that the weight is equal. Now we have 3 kg rice on each pan.

Fourth weighing – Keep aside 3 kg and weigh 1 kg from the remaining 3kg. This will leave a balance of 2 kg rice.

Fifth weighing – Keep the remaining 2 kg rice on both the pans such that weight is equal. Now we have one kg rice on each pan.

12.   A starts at 11:00AM and travels at a speed of 4km/hr. B starts at 1:00PM and travels at 1km/hr for the first 1hr and 2km/hr for the next hr and so on. At what time they will meet each other.

Ans:  5.45 P. M.

A starts at 11.00 A. M. and travels at a speed of 4 kmph.

At 5.00 P. M. he will be at a distance of 24 km.

B starts at 1.00 p. M. with a speed of 1 kmph that doubles every hour.

B at 2 P. M. will be at a distance of 1 km.

B at 3 P. M. will be at a distance of  1 + 2 = 3 km

B at 4 P. M. will be at a distance of 3 + 4 = 7 km.

B at 5 P. M. will be at a distance of 7 + 8 = 15 km.

At 5 P. M. the difference is distance between A and B is 9 km and A is ahead.

At  P.M. B’s speed will be 16 kmph and A continues at 4 kmph.

Hence the Relative speed between A and B at 5.00 P. M. is 16 – 4 = 12 kmph.

At this relative speed to cover the difference in distance of 9 km would take 45 minutes.

Hence at 5.45 P. M. both A and B will meet.

13.   People near the sea shore are leading a healthy life as they eat fish. But people at other part of the city are also healthy. What inference you derive from this statement?

Ans: Healthy living has no bearing on eating fish.

14.   How will u find distance between Nagpur and Mumbai?
I took one hour more when I travel at 80 km/hr than at 90 km/hr.
Ans: 720 km.

Let D be the distance. Then we have an equation – D/80 – D/90 = 1.

Solving we get the value of D as 720 km.

15.   Two cars are 500 cm apart. Each car is moving forward for 100 cm at a speed of 50 cm/s and recedes back for 50 cm at 25 cm/s. At what time the two cars will collide with each other?
Ans: After 20 seconds the two cars will collide with each other.

Each car takes 2 seconds to move forward 100 cm and another 2 seconds to recede back 50 cm. Thus in 4 seconds the cars have actually moved forward 50 cm and the distance beween them gets reduced by 50 + 50 = 100 cm.

Thus after 4 seconds the two cars will be away at a distance of 500 – 100 = 400 cm.

          After 8 seconds they will be away at a distance of – 400 – 100 = 300 cm.

          After 12 seconds they will be away at a distance of  300 – 100 = 200 cm.

          After 16 seconds they will be away at a distance of  200 – 100 = 100 cm.

          After 20 seconds both the cars will collide with each other.

 

General Knowledge - 2

General Knowledge - 2

1.     The largest island in the Indian Ocean is – Madagascar

2.     The biggest salt water lake in the world is - Caspian Sea

3.     The highest mountain in Africa, which is not part of any mountains chain, is - Mt. Kilimanjaro

4.     The United Kingdom' consists of:- England and - Northern Ireland, Scotland and Wales

5.     The most densely populated country of Africa is – Mauritius

6.     The second largest island (next to Greenland) in the world is - New Guinea

7.     The longest ship canal in the world is the - St. Laurence Seaway (USA and Canada)

8.     Which is the Longest River of Europe? – Volga

9.     The largest gulf in the world is - Gulf of Mexico

10.  The largest production of mica in Asia is from – India

11.  As we know lot of new concepts are being used in the field of banking these days. Which of the following is NOT one such concept/product directly associated with banks?
(1) E-payment
(2) SMS Alert
(3) ATM/Debit Card
(4) Demat Account
(5) Number Portabilty

Ans: (5)

12.   The ability to recover and read deleted or damaged files from a criminal’s computer is an example of a law enforcement specialty called:
(A) robotics.
(B) simulation.
(C) computer forensics.
(D) animation.

Ans: (B)

13.  A hacker that changes or forges information in an electronic resource is engaging in __________.
(1) denial of service
(2) sniffing
(3) terrorism
(4) data diddling
(5) None of these

Ans: (4)

14.  Surgeons can perform delicate operations by manipulating devices through computers instead of manually. This technology is known as:
(A) robotics.
(B) Computer forensics.
(C) simulation.
(D) forecasting.

Ans: (A)

15.  Which of the following is an indirect tax?
(1) Wealth tax
(2) Corporation tax
(3) Excise duty
(4) Capital gains tax

Ans: (3)

16.  The financial results of banks and other organizations normally are expressed in quarters. What does Q-1 means?
(1) Results of January - March
(2) Performance during April - June
(3) Profits during July -September
(4) The period when the profits were highest
(5) None of these

Ans: (2)

17.   An example of False fruit?
(a) mango
(b) orange
(c) apple
(d) tomato

Ans: (d)

18.   The world’s only floating national park is situated in-
(a) Manipur
(b) Kaula lampur
(c) Bilaspur
(d) Dispur
(e) Raipur

Ans: (a)

19.  The Oscar award winning film 'Life of Pie' is based on a fantasy adventure written by-
(a) Mo Yan
(b) Yann Martel
(c) Vikas Swaroop
(d) Herta Müller

Ans: (b)

20.  Satellite communication works through:
(a) Radar
(b) Transponder
(c) Receptor
(d) Transmitter

Ans: (b)

English Verbal & Reasoning - 1

English Verbal & Reasoning - 1

Directions: In the following passage there are blanks, each of which has been numbered. These numbers are printed below the passage and against each, five words/phrases are suggested, one of which fills the blank appropriately. Find out the appropriate word/phrase in each case.

There is a considerable amount of research about the factors that make a company innovate. So is it possible to create an environment (1) to innovation? This is a particularly pertinent (2) for India today. Massive problems in health, education etc. (3) be solved using a conventional approach but (4) creative and innovative solution that can ensure radical change and (5). There are several factors in India’s (6). Few countries have the rich diversity that India or its large, young population (7). While these (8) innovation policy interventions certain additional steps are also required. These include (9) investment in research and development by (10) the government and the private sector, easy transfer of technology from the academic word etc. To fulfil its promise of being prosperous and to be at the forefront, India must be innovative.

1. (a) stimuli       (b) conducive    (c) incentive       (d) facilitated     (e) impetus

Ans: (b)

2. (a) objective (b) controversy (c) doubt             (d) question       (e) inference

Ans: (d)

3. (a) cannot       (b) possibly         (c) should            (d) never             (e) must

Ans: (a)

4. (a) necessary                (b) apply              (c) need               (d) consider        (e) requires

Ans: (e)

5. (a) quantity    (b) advantages  (c) increase         (d) chaos             (e) growth

Ans : (e)

6. (a) challenges               (b) praises           (c) favour            (d) leverage       (e) esteem

Ans: (c)

7. (a) blessed     (b) enjoys           (c) endows         (d) prevails         (e) occurs

Ans: (b)

8. (a) aid               (b) jeopardize   (c) promotes      (d) endure          (e) cater

Ans: (a)

9. (a) acute         (b) utilizing          (c) restricting     (d) inspiring        (e) increased

Ans: (d)

10. (a) both         (b) besides         (c) combining     (d) participating                     (e) also

Ans: (a)

Directions: In each of the following question four words are given of which two words are most nearly the same or opposite in meaning. Find the two words which are most nearly the same or opposite in meaning and indicate the number of the correct letter combination as your answer. 

11. (a) Consent                 (b) Nascent        (c) Emerging       (d) Insecure

(1) a – c                (2) b – d                               (3) b - c                                 (4) a – d                (5) a – b

Ans: (3)

12. (a) Elated      (b) Eccentric       (c) Explicit            (d) Abnormal

(1) a – b                (2) b – d               (3) a – c                (4) a – d                (5) d – c

Ans: (2)

13. (a) Abundance           (b) Incomparable             (c) Projection     (d) Plethora

(1) a – c                (2) a – b                (3) c – d                (4) b – d               (5) a – d

Ans: (5)

14. (a) Purposefully         (b) Inaccurately                                (c) Inadvertently              (d) Unchangeably

(1) a – c                (2) a – b                (3) b – c                (4) b – d               (5) a – d

Ans: (1)

15. (a) germane                (b) generate      (c) reliable           (d) irrelevant

(1) b – d               (2) b – c                                (3) a – b                (4) c – d                                (5) a - d

Ans: (5)

Directions: Study the given information and answer the following questions:

When a word and number arrangement machine is given an input line of words and numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement: (All the numbers are two digit numbers)

Input: 40 made butter 23 37 cookies salt extra 52 86 92 fell now 19

Step I: butter 19 40 made 23 37 cookies salt extra 52 86 92 fell now

Step II: cookies 23 butter 19 40 make 37 salt extra 52 86 92 fell now

Step III: extra 37 cookies 23 butter 19 40 made salt 52 86 92 fell now

Step IV: fell 40 extra 37 cookies 23 butter 19 made salt 52 86 92 now

Step V: made 52 fell 40 extra 37 cookies 23 butter 19 salt 86 92 now

Step VI: now 86 made 52 fell 40 extra 37 cookies 23 butter 19 salt 92

Step VII: salt 92 now 86 made 52 fell 40 extra 37 cookies 23 butter 19

Step VII is the last step of the above arrangement as the intended arrangement is obtained.

As per the rules followed in the given steps, find out the appropriate steps for the given input.

Input: 32 proud girl beautiful 48 55 97 rich family 61 72 17 nice life

16. How many steps will be required to complete the given input?

(1) Five                 (2) Six                    (3) Seven             (4) Eight               (5) Nine

Ans: (3)

17. Which of the following is the third element from the left end of step VI?

(1) beautiful       (2) life                   (3) 61                     (4) Nice                                (5) 17

Ans: (4)

18. Which of the following is step III of the given input?

(1) proud 72 girl 48 family 32 beautiful 17 55 97 rich 61 nice life

(2) life 55 girl 48 family 32 beautiful 17 proud 97 rich 61 72 nice

(3) girl 48 family 32 beautiful 17 proud girl 48 55 97 rich 61 72 nice life

(4) family 32 beautiful 17 proud girl 48 55 97 rich 61 72 nice life

(5) girl 48 life 55 family 32 beautiful 17 proud 97 rich 61 72 nice

Ans: (3)

19. What is the position of ‘nice’ from the left end in the final step?

(1) Fifth                (2) Sixth               (3) Seventh        (4) Eight               (5) Ninth

Ans: (1)

20. Which element is third to the right of ‘family’ in Step V?

(1) beautiful       (2) 17                     (3) Proud             (4) 97                     (5) 32

Ans: (2)

Direction: Study the information and answer the following questions:

In a certain code language- ‘ Economics is not money’  is written as ‘ka la ho ga’,  ‘demand and supply economics’ is written as, ‘mo ta pa ka’, ‘money makes only part’ is written as, ‘zi la ne ki’,  ‘demand makes supply economics’ is written as, ‘zi mo ka ta

21. What is the code for ‘money’ in the given code language?

(1) ga                     (2) mo                   (3) pa                    (4) ta                     (5) la

Ans: (5)

22. What is the code for ‘supply’ in the given code language?

(1) only ta            (2) only mo         (3) either pa or mo          (4) only pa

(5) either mo or ta

Ans: (5)

23. What is the code for ‘demand only makes’ in the given code language?

(1) xi ne mo        (2) mo zi ne        (3) ki ne mo        (4) mo ki zi          (5) xi ka ta

Ans: (4)

24. What may be the possible code for ‘work and money’ in the given code language?

(1) pa ga la          (2) pa la tu           (3) mo la pa        (4) tu la ga           (5) pa la ne

Ans: (2)

25. What is the code for ‘makes’ in the given code language?

(1) mo                   (2) pa                    (3) ne                    (4) zi                      (5) ho

Ans: (4)

(Note: In Question No 24 the new word is ‘work’ which doesn’t appear in any of the coded languages given. Similarly the code word ‘tu’ also doesn’t appear anywhere and as such we can assume ‘tu’ refers to ‘work’. On this basis the answer (2) is arrived for Question No 24.)