30 Questions
| Attempts: 187

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Questions and Answers

- 1.1. How many students of MCGS school played the game of Athletics in 2003?
- A.
10

- B.
30

- C.
35

- D.
40

- 2.2. How many students of MCGS school played more than one game in 2003?
- A.
0

- B.
10

- C.
20

- D.
Data insufficient

- 3.What is the ratio of students playing only Hockey to those playing Volleyball in 2003?
- A.
2:1

- B.
16:9

- C.
9:4

- D.
None of these

- 4.4. If 50% of those playing Hockey also played one other game, how many students of MCGS school played both Hockey and Volleyball in 2003?
- A.
8

- B.
10

- C.
18

- D.
Data Insufficient

- 5.Thirteen pirates put their treasure in a safe. They decide that the safe should be able to be opened if any majority of pirates agree but not be able to be opened if any minority agree. The pirates don’t trust each other so they consult a locksmith. The locksmith puts a specific number of locks on the safe such that every lock must be opened to open the safe. Then he distributes keys to the pirates such that every pirate has some but not all of the keys. Any given lock can have multiple keys but any given key can only open one lock. What is the least number of locks required? a) b) c)
- A.
Option a

- B.
Option b

- C.
Option c

- D.
None of these.

- 6.A, B,C,D,E are 5 points on a plane. AE = 19.5, BC = 15, CE = 5, AB = 15, BD = 6.5, DC = 8.5, BE = 19.5.How many triangles can be formed using the 5 points ?
- A.
10

- B.
9

- C.
8

- D.
None of these.

- 7.An infinite GP has first term ‘X’ and sum ‘5’ , then X belongs to
- A.
X< -10

- B.
0 > X > -10

- C.
0< X < 10

- D.
X>10

- 8.Find the coefficient of in the expression (x – 1) (x – 2) (x – 3) ... (x – 50).
- A.
-1275

- B.
1275

- C.
25

- D.
-25

- 9.What is the approximate compounded annual growth rate in the book value per equity share of CRBC Bank during the given period 2001-02 to 2003-04, as per Indian GAAP?
- A.
35%

- B.
29%

- C.
23%

- D.
20%

- 10.What is the approximate percentage change in difference in net profit between Indian and US GAAP in 2003-04 as compared to the same difference in the previous year for CRBC Bank?
- A.
30.5%

- B.
26.5%

- C.
23.5%

- D.
19.5%

- 11.Which year showed the highest net profit as a percentage of the shareholder’s equity and as per which accounting principle for CRBC Bank?
- A.
2003-04, US GAAP

- B.
2003-04, Indian GAAP

- C.
2002-03, Indian GAAP

- D.
None of these.

- 12.If the number of equity shares is given by the ratio of shareholder’s equity to that of the book value per equity share, find the approximate difference in the number of shares of CRBC Bank as per Indian GAAP and US GAAP in the year 2003-04.
- A.
No difference

- B.
25 lakh

- C.
60 lakh

- D.
100 lakh

- 13.
- A.
3.732

- B.
0.267

- C.
0.866

- D.
Figure Not possible.

- 14.[x] is defined as the greatest integer less than or equal to x and {x} is defined as the least integer greater than or equal to x, for all real values of x. Consider the four statements.I. [x] + [–x] = –1II. {x} + [–x] = 0III. {[x]} – [{x}] = –1IV. [2x] +{3x} ≤ 5xHow many of the above statements are always true for all real values of x ?
- A.
4

- B.
3

- C.
2

- D.
None of these.

- 15.
- A.
[0,1]

- B.
[-0.25,0.33]

- C.
[-0.33,0.33]

- D.
[0, Infinite]

- 16.Several goods wagons were commissioned to transport animals. At station Q1, 12 animals were placed in each wagon. At station Q2, some animals were taken out and 2 wagons detached. All the animals were now equally distributed among the remaining wagons. It was noted that the number of animals in each wagon was a prime number, and the number of wagons was now 14 less than the number of animals in each wagon. How many animals were in the Wagons that left from station Q1?
- A.
80

- B.
60

- C.
90

- D.
72

- 17.What are the total number of sets (p, q, r) such that p < q < r, where p, q, r ∈ N and ≤ 10 ?
- A.
7

- B.
7^3

- C.
3^7

- D.
None of these

- 18.The total profit per trip made by running a train between Kolkata & Haldia consist of two parts, one of which is a constant amount of Rs. 24 lakh per trip and the other varies as the square of the number of wagons attached to the engine and amounts to Rs. 7n 2 , where n is the number of wagons attached to the engine in the trip. If the average profit per wagon per trip should not fall below Rs.169 lakh, then what is the minimum number of wagons that have to be attached to the engine?
- A.
23

- B.
24

- C.
25

- D.
None of these.

- 19.In ∆ ABC, the points P, Q and R divide the side AB, BC and CA in the ratio 1 : 2, 3 : 1 and 2 : 3 respectively.Find the ratio of the areas of ∆ PQR and ∆ ABC.
- A.
0.4

- B.
0.3

- C.
0.8

- D.
0.2

- 20.A hare and a tortoise start running simultaneously clockwise around an oval lake. First time they meet at an apple tree, next time at a mango tree and third time at a banyan tree and fourth time again at the apple tree. Which of the following is not a possible ratio of their speed?
- A.
4:10

- B.
10:4

- C.
8:14

- D.
4:8

- 21.If a process is a combination of (1, 2); (2, 3); (3, 4) and (4, 1) in succession, which letter will be at the position 3 when the process is executed 100 times successively?
- A.
A

- B.
B

- C.
C

- D.
D

- 22.If a process is a combination of (1, 2); (2, 3); (3, 4); (4, 2); (4, 1); (3, 1); (3, 2); (2, 4) and (1, 4) in succession, the intermediate processes are redundant except the exchange of letters at the positions 1. (1, 2) 2. (1, 3) 3. (1, 4) 4. (3, 4)
- A.
(1,2)

- B.
(1,3)

- C.
(1,4)

- D.
(3,4)

- 23.
- A.
3:4

- B.
3:5

- C.
4:5

- D.
2:3

- E.
1:2

- 24.What is the sum of all the 5 digit numbers formed using 1, 2, 3, 4, 5 such that there is no repetition of digits. The sum of all such numbers as represented in base 6 is
- A.
1666650

- B.
155554000

- C.
61332720

- D.
6666600

- 25.
- A.
4.1

- B.
4.2

- C.
4.3

- D.
4.4

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