# (Paper) West Bengal P.C.S. Miscellaneous Services Recruitment Exam Solved Paper- 2008

**Paper : West Bengal P.C.S. Miscellaneous Services Recruitment
Exam Solved Paper- 2008**

**Arithmetic**

**1. The diagonal of a square is 4√ 2 cm. The diagonal of another square whose area is double that of the first square isâ€”**

(A) 8 cm

(B) 8√2 cm

(C) 4√ 2 cm

(D) 16 cm

**Ans :**(A)

**2. A train starts with the speed of 70 km/hr with its speed increasing every two hours by 10 km/hr. In how many hours will it cover 345 kms ?**

(A) 2Â¼ hrs

(B) 4 hrs 5 mins

(C) 4Â½ hrs

(D) None of the above

**Ans :**(C)

**3. How long does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length ?**

(A) 9â€¢8 sec

(B) 12â€¢1 sec

(C) 12â€¢42 sec

(D) 14â€¢3 sec

**Ans :**(B)

**4. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water ?**

(A) 40 mins

(B) 1 hr

(C) 1 hr 15 mins

(D) 1 hr 30 mins

**Ans :**(C)

**6. The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditure is 3 : 2. If at the end of each year, each saves Rs. 1600, then the income of A isâ€”**

(A) Rs. 3400

(B) Rs. 3600

(C) Rs. 4000

(D) Rs. 4400

**Ans :**(C)

**7. Half of 1 per cent is equal toâ€”**

(A) 0â€¢005

(B) 0â€¢05

(C) 0â€¢02

(D) 0â€¢2

**Ans :**(A)

**8. If 3/5th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it ?**

(A) 40 sec

(B) 30 sec

(C) 36 sec

(D) 24 sec

**Ans :**(A)

**9. In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth Rs. 8 per litre ?**

(A) 1 : 2

(B) 2 : 1

(C) 2 : 3

(D) 3 : 2

**Ans :**(A)

**10. A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number isâ€”**

(A) 214

(B) 476

(C) 954

(D) 1908

**Ans :**(A)

**11. The difference between simple and compound interest @ 10% per annum on a sum of Rs. 1000 after 4 years isâ€”**

(A) Rs. 31

(B) Rs. 32â€¢10

(C) Rs. 40â€¢40

(D) Rs. 64â€¢10

**Ans :**(D)

**12. The maximum length of a pencil that can by kept in a rectangular box of dimensions 8 cm Ã— 6 cm Ã— 2 cm, isâ€”**

(A) 2√13 cm

(B) 2√14 cm

(C) 2√26 cm

(D) 10√2 cm

**Ans :**(C)

**13. What is the smallest number by which 3600 be divided to make it a perfect cube ?**

(A) 9

(B) 450

(C) 50

(D) 300

**Ans :**(B)

**14. At what time between 9 and 10 oâ€™clock will the hands of a watch be together ?**

(A) 45 min past 9

(B) 50 min past 9

(C) 49 1/11 min past 9

(D) 48 2/11 min past 9

**Ans :**(C)

**15. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the number is reversed. The number isâ€”**

(A) 18

(B) 42

(C) 81

(D) 24

**Ans :**(D)

**16. The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2 . The volume of the cuboid isâ€”**

(A) 24 cm3

(B) 48 cm3

(C) 64 cm3

(D) 120 cm3

**Ans :**(B)

**17. In a school 10% of the boys are same in number as Â¼ th of the girls. What is the ratio of boys to girls in the school ?**

(A) 3 : 2

(B) 5 : 2

(C) 2 : 1

(D) 4 : 3

**Ans :**(B)

**18. X got 30% concession on the labelled price of an article and sold it for Rs. 8750 with 25% profit on the price she bought. What was the labelled price ?**

(A) Rs. 16,000

(B) Rs. 12,000

(C) Rs. 10,000

(D) None of the above

**Ans :**(C)

**19. A vendor loses the selling price of 4 oranges on selling 36 oranges. Her loss per cent isâ€”**

(A) 10%

(B) 11 1/9 %

(C) 12 Â½ %

(D) None of the above

**Ans :**(A)

**20. In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining food last now ?**

(A) 180

(B) 285

(C) 139 16/19

(D) 28â€¢5

**Ans :**(B)

**21. A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds in terms of ratio of their speed.**

(A) Dogâ€™s speed : hareâ€™s speed = 15 : 16

(B) Dogâ€™s speed : hareâ€™s speed = 16 : 15

(C) Dogâ€™s speed : hareâ€™s speed = 3 : 5

(D) Dogâ€™s speed : hareâ€™s speed = 5 : 3

**Ans :**(B)

**22. The ratio of the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train isâ€”**

(A) 70 km/hr

(B) 75 km/hr

(C) 84 km/hr

(D) 87â€¢5 km/hr

**Ans :**(D)

**23. In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B isâ€”**

(A)29years

(B) 19 years

(C) 49 years

(D) 39 years

**Ans :**(D)

**24. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full inâ€”**

(A) 6 hours

(B) 6 2/3 hours

(C) 7 hours

(D) 7 Â½ hours

**Ans :**(C)

**25. The present ages of three persons are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years)â€”**

(A) 20, 35, 45

(B) 8, 20, 28

(C) 16, 28, 36

(D) 20, 36, 46

**Ans :**(C)