1. In a class composed of x girls and y boys what part of the class is composed of girls
a) y/(x + y)
b) x/xy
c) x/(x + y)
d) y/xy
2. What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream(2 pt.=1 qt. and 4 qt.=1 gal)
a) 16
b) 24
c) 30
d) 64
3. If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3
a) 0
b) 1
c) -1
d) 4
4. A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33 paisa a gm. grade to 1 part of a 24 paisa a gm. If the mixture is changed to 1 part of the 33 paisa a gm. to 2 parts of the less expensive grade, how much will the shop save in blending 100 gms.
a) Rs.90
b) Rs.1.00
c) Rs.3.00
d) Rs.8.00
5. There are 200 questions on a 3 hr examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be spent on each maths problem as for each other question. How many minutes should be spent on mathematics problems
a) 36
b) 72
c) 60
d) 100
6. In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek?
a) 0
b) 3
c) 4
d) 5
7. If 13 = 13w/(1-w) ,then (2w)2 =
a) ¼
b) ½
c) 1
d) 2
8. If a and b are positive integers and (a-b)/3.5 = 4/7, then
a) b < a
b) b > a
c) b = a
d) b >= a
9. In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have to win in a row to attain this average?
a) 12
b) 20
c) 24
d) 30
10. M men agree to purchase a gift for Rs. D. If three men drop out how much more will each have to contribute towards the purchase of the gift/
a) D/(M-3)
b) MD/3
c) M/(D-3)
d) 3D/(M2-3M)
11. A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
a) 7
b) 8
c) 11
d) 12
12. 2 hours after a freight train leaves Delhi
a) 30
b) 40
c) 58
d) 60
13. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
a) -5
b) 4
c) 2
d) 8
14. (x-a)(x-b)(x-c)....(x-z) = ?
a) 1
b) -1
c) 0
d) Can't be determined
15. If a = 1, b = 2, c = 3.......z = 26 what is the value of p+q+r?
a) 33
b) 51
c) 52
d) 48
16. There are 30 socks in a bag. Out of these 60 % are green and the rest are blue.
What is the maximum number of times that socks have to be taken out so that atleast 1 blue pair is found?
What is the maximum number of times that socks have to be taken out so that atleast 1 blue pair is found?
a) 21
b) 2
c) 18
d) 20
17. How many two digit numbers have their square ending with 8?
a) 13
b) 12
c) 0
d) 11
18. How many numbers are there between 100 and 300 with 2 in the end and 2 in the beginning.
a) 10
b) 9
c) 11
d) none of these
19. 0.000006 * 0.0000007 = ?
a) 0.0000000042
b) 0.000000000042
c) 0.0000000000042
d) 0.00000000000042
20. You have Rs 1000 with 8% compounded every 6 months. What is the total interest you get after 1 year.
a) Rs.166.40
b) Rs.345.60
c) Rs.224.50
d) Rs.160
21. If x + y =12, x - y = 2 Find x + 2y.
a) 12
b) 17
c) 14
d) none of these
22. With one gallon of petrol a person moves at a speed of 50 mph and covers 16 miles. 3/4th of the distance is covered while moving at 60 mph. How many gallons does he need to cover 120 miles in 60 mph.
23. A tap drains at x speed while tap B is closed. When both taps are open they drain at y speed. What is the speed of draining when only tap B is open
a) x – y
b) y-x
c) x
d) Can't be determined
24. What is twenty percent of 25 % of 20.
a) 2
b) 1
c) 5
d) 4
Directions for questions 25-30: In each question,a series of letters satisfying a certain pattern are given. Identify the pattern and then find the letter/letters that will come in place of the blank/blanks.
25. a, c, e, g, _
a) h
b) i
c) d
d) j
26. a, e, i, m, q, u, _, _
a) y, c
b) b, f
c) g, i
d) none
27. ay , bz , cw , dx ,__
a) gu
b) ev
c) fv
d) eu
28. 1, 2, 3, 5, 7, 11, __
a) 15
b) 9
c) 13
d) 12
29. kp , lo , mn , __
a) nm
b) np
c) op
d) pq
30. abc , zyx , def , wvu , ___
a) ghi
b) tsr
c) ihg
d) str
31. How is my mother's sister's brother's wife's child related to me?
a) Brother
b) Uncle
c) Cousin
d) Nephew
32. What will my mother's husband's father-in-law's son's daughter to me?
a) Niece
b) Aunt
c) Sister
d) none of these
33. The sum of three consecutive numbers is 132. Find the square of the largest number.
a) 2026
b) 640
c) 900
d) 2025
34. Father's age is five times his son's age. Four years back father was 9 times older than his son. Find their present ages
a) 30yrs, 6yrs
b) 25yrs, 5yrs
c) 40yrs, 8yrs
d) none of these
35. If x + 5y = 6,7x - 2y = 5 Find x - y
a) 1
b) 2
c) 0
d) none of these
Directions for questions 36-41: Select the alternative that logically follows form the two given statements.
36. All books are pages. All pages are boxes.
a) All boxes are books
b) All books are boxes
c) No books are boxes
d) Both (a) and (b) are correct
37. No apple is an orange. All bananas are oranges.
a) All apples are oranges
b) Some apples are oranges
c) No apple is a banana
d) None of the above
38. All pens are elephants. Some elephants are cats.
a) Some pens are cats
b) No pens are cats
c) All pens are cats
d) None of the above
39. All shares are debentures.No debentures are deposits.
a) All shares are deposits
b) Some shares are deposits
c) No shares are deposits
d) None of the above
40. Many fathers are brothers. All brothers are priests.
a) No father is a priest
b) Many fathers are not priests
c) Many fathers are priests
d) Both (b) and (c)
41. Some pens are pencils. All pencils are costly.
a) No pens are costly
b) Some pens are costly
c) All pens are costly
d) None of the above
42. How many two digit numbers have their squares ending with 6?
a) 9
b) 10
c) 164
d) 18
43. In how many years will $1200 amount to $1323 at 5%p.a. compound interest?
a) 3 years
b) 2 1/2 yrs
c) 2 yrs
d) none of the above
44. The sum of three numbers in AP is 27 and their product is 504. Find the terms.
a) 7, 9 ,11
b) 5, 9, 13
c) 4, 9, 14
d) none of these
45. Two pipes A and B can fill a tank in 20 and 25 Minutes respectively. Both are opened at the same time and after 5 minutes the first one is closed. How much more time will it take for the tank to be full?
a) 13 min 45 secs
b) 10 min
c) 18 min
d) 15 min 45 secs
46. Walking at 4/5th of his usual speed, a man reaches his office 15 mins late. Find his usual time for reaching the office?
a) 45 mins
b) 2 hrs
c) 1 hr
d) 30 mins
47. If the word "CODING" is represented as DPEJOH , then the word "CURFEW" can be represented?
a) DVSGFX
b) DVSHFX
c) DGSHFX
d) DTSGFY
48. If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678, then the code for the word "MANGO" would be
a) 82357
b) 84563
c) 82347
d) 82543
Directions for questions 49-50:The questions are based on the following data.
In a class of 150 students 55 speak English, 85 speak Telugu and 30 speak neither English nor Telugu
49. How many speak both English and Telugu?
a) 10
b) 15
c) 20
d) 12
50. How many speak only Telugu?
a) 55
b) 45
c) 65
d) none of the above
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