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)