# QUESTION PAPER POSTAL /SORTING ASSISTANT 2009 - ENGLISH AND MATHEMATICS

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APTITUTDE TEST- DECEMBER 2009 PART 1 – ENGLISH

( Select the most appropriate word/set of words)

1. The word most nearly opposite in meaning to Valor

a. admonition

b. Injustice

c. Cowardice

d . Generosity

2. The word most nearly similar in meaning to tentative

a. Prevalent

b. Portable

c. Making

d. Experimental

3. The pair whose relationship is most like the relationship expressed in the pair beggar: beg

a. Medium- Advise

b. Mediator: Disagree

C. Mercenary : Demand

d. Mentor : Guide

Fill in the Blanks ( Question 4-10 )

4. We list confidence in him because he never ------------------his promise.

5. Her true feelings --------------- themselves in her sarcastic asides; only then was her ------------- revealed

6. Technically glass is a mineral and ---------------

a. Water so

b. water is so

c. so is water

d. so water is

7. Rajasthan --------------- a very climate

a. ha

b. being

c. having

d. with

8 One of the least effective ways of storing information is leaning

a. how repeat

b. repeating

c. to repeat

d. Repeat

9 Many modern architects insist on------------------ materials native to the region

that will blend in to surroundings landscape .

a. use

b. to use

c. the use

d. using

10. By the time a baby has reached its first birthday , he should , without the help of an

adult ----------------- sit up or even stand up.

a. to be able

b. able to

c. to be able

d. be able to

PART II: MATHEMATICS

11. A jar contains 10 red marbles and 30 green Ones. How many red marbles must be added to the jar so that 60 % of the marbles will be red?

a. 25

b. 30

c. 35

d. 40

12. Driving at 48 miles per hour, how many minutes will take to drive 32miles.

a. 23

b 32

c. 40

d. 45

13. If a = 9*8321 and b=9*7321 what is the value of a –

a. 8000

b. 9000

c. 7000

e. 6000

14. From 1989 to 1990, the number of applicants to a college increased 15 % to 5000.

How many applications were there in 1989?

a. 759

b. 4301

c. 4400

d. 5819

15. Find two numbers whose sum is 27 and product is 182

a. 11, 12

b. 12, 13

c. 13, 14

d. 14, 15

16. How many three- digit numbers are divisible by 7 ?

a. 108

b. 118.

c. 128

d. 138

17 Liz is now twice as old as Jose but 6 years ago she was 5 times as old as he was. How old Liz now?

a. 10

b. 16

c. 20

d. 24

18. What is the sum of the product and quotient of 8 and 8 ?

a. 62

b. 63

c. 64

d . 65

19. Liz solved 24 Maths problems in 15 minutes. At this rate, how many problems can she solve in 40 minutes?

a. 25

b. 64

c. 40

d. 48

20. If the average (arithmetic mean) of 25,31 and x is 37 what is the value of x?

a. 31

b. 37

c. 43

d. 55

-------------------------------------------------------------------------------------------------------------------

Mathematics :

1. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is:

(1) 4236

(2) 4306

(3) 4336

(4) 5336

2. If 1.5 x= 0.04 y, then the value of (y-x) (y+x) is:

(1) 730/77

(2) 73/77

(3) 7.3/77

(4) 703/77

3. An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling km. How many kms did he travel by taxi?

(1) 55

(2) 65

(3) 62

(4) 70

4. The square root of 3 + √5 is :

(1) √3 /2 + 1/√2

(2) √3 /2 – 1/√2

(3) √5 /2 – 1/√2

(4) √(5/2) + √(1/2)

5. The mean temperature of Monday to Wednesday was 370C and of Tuesday to Thursday was 340C, if the temperature on Thursday was 4/5th that of Monday, then what was the temperature on Thursday?

(1) 36.50C

(2) 360C

(3) 35.50C

(4) 340C

6. A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is:

(1) 72

(2) 32

(3) 27

(4) 23

7. Three years ago the average age of A and B was 18 years. While C joining them now, the average becomes 22 years. How old (in years) is C now?

(1) 24

(2) 27

(3) 28

(4) 30

8. If 2^(2x-1) = 8^(3-x), then the value of x is:

(1) -1

(2) -2

(3) 2

(4) 3

9. A man’s basic pay for a 40 hours’ week is Rs. 200. Overtimes is paid at 25% above the basic rate. In a certain week, he worked overtime and his total was Rs. 300. He therefore, worked for a total of (in hours):

(1) 52

(2) 56

(3) 58

(4) 62

10. On a Rs. 10, 000 payment order, a person has choice between 3 successive discounts of 10%, 10% and 30% and 3 successive discounts of 40%, 5% and 5%. By choosing the better one he can save (in Rupees):

(1) 200

(2) 255

(3) 400

(4) 433

11. Rs. 600 are divided among A, B, C so that Rs. 40 more than 2/5 th of A’s share, Rs. 20 more that 2/7 th of B’s share and Rs. 10 more than 9/17 th of C’s may all be equal. What is A’s share (in Rupees)?

(1) 150

(2) 170

(3) 200

(4) 280

12. A, B, C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was:

(1) 5 : 6 : 10

(2) 6 : 5 :10

(3) 10 : 5 : 6

(4) 4 : 3 : 5

13. If 9 men working 71/2 hours a day can finish a piece of work in 20 days, then how many days will be taken by 12 men, working 6 hours a day to finish the work? It is being given that 2 men of latter type work as much as 3 men of the former type?

(1) 91/2

(2) 11

(3) 121/2

(4) 13

14. Three pipes A, B and C can fill a cistern in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the cistern is:

(1) 12

(2) 14

(3) 16

(4) 18

15. A train B speeding with 120 kmph crosses another train C running in the same direction, in 2 minutes. If the lengths of the trains B and C be 100 m and 200 m respectively, what is the speed (in kmph) of the train C?

(1) 111

(2) 123

(3) 127

(4) 129

16. River is running at 2 kmph. It took a man twice as long to row up as to row down the river. The rate (in km/hr) of the man in still water is:

(1) 8

(2) 10

(3) 4

(4) 6

17. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is:

(1) 560

(2) 600

(3) 400

(4) 640

18. A sum of money becomes Rs. 13, 380 after 3 years and Rs. 20, 070 after 6 years on compound interest. The sum (in Rupees) is:

(1) 8800

(2) 8890

(3) 8920

(4) 9040

19. A well with 14 m inside diameter is dug 10 m deep. Earth taken out of it, has been evenly spread all around it to a width of 21m to form an embankment. The height (in metres) of the embankment is:

(1) 1/2

(2) 2/3

(3) 3/4

(4) 3/5

20. A rectangular carpet has an area of 120 sq metres and a perimeter of 46 metres. The length of its diagonal (in metres) is:

(1) 11

(2) 13

(3) 15

(4) 17

( Select the most appropriate word/set of words)

1. The word most nearly opposite in meaning to Valor

a. admonition

b. Injustice

c. Cowardice

d . Generosity

2. The word most nearly similar in meaning to tentative

a. Prevalent

b. Portable

c. Making

d. Experimental

3. The pair whose relationship is most like the relationship expressed in the pair beggar: beg

a. Medium- Advise

b. Mediator: Disagree

C. Mercenary : Demand

d. Mentor : Guide

Fill in the Blanks ( Question 4-10 )

4. We list confidence in him because he never ------------------his promise.

5. Her true feelings --------------- themselves in her sarcastic asides; only then was her ------------- revealed

6. Technically glass is a mineral and ---------------

a. Water so

b. water is so

c. so is water

d. so water is

7. Rajasthan --------------- a very climate

a. ha

b. being

c. having

d. with

8 One of the least effective ways of storing information is leaning

a. how repeat

b. repeating

c. to repeat

d. Repeat

9 Many modern architects insist on------------------ materials native to the region

that will blend in to surroundings landscape .

a. use

b. to use

c. the use

d. using

10. By the time a baby has reached its first birthday , he should , without the help of an

adult ----------------- sit up or even stand up.

a. to be able

b. able to

c. to be able

d. be able to

PART II: MATHEMATICS

11. A jar contains 10 red marbles and 30 green Ones. How many red marbles must be added to the jar so that 60 % of the marbles will be red?

a. 25

b. 30

c. 35

d. 40

12. Driving at 48 miles per hour, how many minutes will take to drive 32miles.

a. 23

b 32

c. 40

d. 45

13. If a = 9*8321 and b=9*7321 what is the value of a –

a. 8000

b. 9000

c. 7000

e. 6000

14. From 1989 to 1990, the number of applicants to a college increased 15 % to 5000.

How many applications were there in 1989?

a. 759

b. 4301

c. 4400

d. 5819

15. Find two numbers whose sum is 27 and product is 182

a. 11, 12

b. 12, 13

c. 13, 14

d. 14, 15

16. How many three- digit numbers are divisible by 7 ?

a. 108

b. 118.

c. 128

d. 138

17 Liz is now twice as old as Jose but 6 years ago she was 5 times as old as he was. How old Liz now?

a. 10

b. 16

c. 20

d. 24

18. What is the sum of the product and quotient of 8 and 8 ?

a. 62

b. 63

c. 64

d . 65

19. Liz solved 24 Maths problems in 15 minutes. At this rate, how many problems can she solve in 40 minutes?

a. 25

b. 64

c. 40

d. 48

20. If the average (arithmetic mean) of 25,31 and x is 37 what is the value of x?

a. 31

b. 37

c. 43

d. 55

-------------------------------------------------------------------------------------------------------------------

Mathematics :

1. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is:

(1) 4236

(2) 4306

(3) 4336

(4) 5336

2. If 1.5 x= 0.04 y, then the value of (y-x) (y+x) is:

(1) 730/77

(2) 73/77

(3) 7.3/77

(4) 703/77

3. An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling km. How many kms did he travel by taxi?

(1) 55

(2) 65

(3) 62

(4) 70

4. The square root of 3 + √5 is :

(1) √3 /2 + 1/√2

(2) √3 /2 – 1/√2

(3) √5 /2 – 1/√2

(4) √(5/2) + √(1/2)

5. The mean temperature of Monday to Wednesday was 370C and of Tuesday to Thursday was 340C, if the temperature on Thursday was 4/5th that of Monday, then what was the temperature on Thursday?

(1) 36.50C

(2) 360C

(3) 35.50C

(4) 340C

6. A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is:

(1) 72

(2) 32

(3) 27

(4) 23

7. Three years ago the average age of A and B was 18 years. While C joining them now, the average becomes 22 years. How old (in years) is C now?

(1) 24

(2) 27

(3) 28

(4) 30

8. If 2^(2x-1) = 8^(3-x), then the value of x is:

(1) -1

(2) -2

(3) 2

(4) 3

9. A man’s basic pay for a 40 hours’ week is Rs. 200. Overtimes is paid at 25% above the basic rate. In a certain week, he worked overtime and his total was Rs. 300. He therefore, worked for a total of (in hours):

(1) 52

(2) 56

(3) 58

(4) 62

10. On a Rs. 10, 000 payment order, a person has choice between 3 successive discounts of 10%, 10% and 30% and 3 successive discounts of 40%, 5% and 5%. By choosing the better one he can save (in Rupees):

(1) 200

(2) 255

(3) 400

(4) 433

11. Rs. 600 are divided among A, B, C so that Rs. 40 more than 2/5 th of A’s share, Rs. 20 more that 2/7 th of B’s share and Rs. 10 more than 9/17 th of C’s may all be equal. What is A’s share (in Rupees)?

(1) 150

(2) 170

(3) 200

(4) 280

12. A, B, C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was:

(1) 5 : 6 : 10

(2) 6 : 5 :10

(3) 10 : 5 : 6

(4) 4 : 3 : 5

13. If 9 men working 71/2 hours a day can finish a piece of work in 20 days, then how many days will be taken by 12 men, working 6 hours a day to finish the work? It is being given that 2 men of latter type work as much as 3 men of the former type?

(1) 91/2

(2) 11

(3) 121/2

(4) 13

14. Three pipes A, B and C can fill a cistern in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the cistern is:

(1) 12

(2) 14

(3) 16

(4) 18

15. A train B speeding with 120 kmph crosses another train C running in the same direction, in 2 minutes. If the lengths of the trains B and C be 100 m and 200 m respectively, what is the speed (in kmph) of the train C?

(1) 111

(2) 123

(3) 127

(4) 129

16. River is running at 2 kmph. It took a man twice as long to row up as to row down the river. The rate (in km/hr) of the man in still water is:

(1) 8

(2) 10

(3) 4

(4) 6

17. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is:

(1) 560

(2) 600

(3) 400

(4) 640

18. A sum of money becomes Rs. 13, 380 after 3 years and Rs. 20, 070 after 6 years on compound interest. The sum (in Rupees) is:

(1) 8800

(2) 8890

(3) 8920

(4) 9040

19. A well with 14 m inside diameter is dug 10 m deep. Earth taken out of it, has been evenly spread all around it to a width of 21m to form an embankment. The height (in metres) of the embankment is:

(1) 1/2

(2) 2/3

(3) 3/4

(4) 3/5

20. A rectangular carpet has an area of 120 sq metres and a perimeter of 46 metres. The length of its diagonal (in metres) is:

(1) 11

(2) 13

(3) 15

(4) 17

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