IBM-IPAT测试整理部分(可参考)

时

x,y

有双解

A>=7

时

x,y

< br>有三重及三重以上解

假设

A=x+y=5

则有双解

x1=1,y1=4;

x2=2,y2=3

代入公式

B=x*y:

B1=x1*y1=1*4=4; (

不满足推论

1

，舍去

)

B2=x2*y2=2*3=6;

得到唯一解

x=2,y=3

即甲知道答案

与题设条件：

“甲不知道答案”相矛盾

故假设不成立，

A=x+y

≠

5

假设

A=x+y=6

则有双解

x1=1,y1=5;

x2=2,y2=4

代入公式

B=x*y:

B1=x1*y1=1*5=5; (

不满足推论

1

，舍去

)

B2=x2*y2=2*4=8;

得到唯一解

x=2,y=4

即甲知道答案

与题设条件：

“甲不知道答案”相矛盾

故假设不成立，

A=x+y

≠

6

当

A>=7

时

∵

x,y

的 解至少存在两种满足推论

1

的解

B1=x1*y1=2*(A-2)

B2=x2*y2=3*(A-3)

∴

符合条件

结论

(

推论

2)

：

A >= 7

3)

由题设条件：乙说“那我知道了”

=>

乙通过已知条件

B=x*y

及推论

(1)(2)

可以得出唯一解

即：

A=x+y,A >= 7

B=x*y,B

∈

(6,8,10, 12,14,15,16,18,20...)

1 <= x < y <= 30

x,y

存在唯一解

当

B=6

时：有两组解

x1=1, y1=6

x2=2, y2=3 (

∵

x2+y2=2+3=5 < 7

∴不合题意，舍去

)

得到唯一解

x=1, y=6

当

B=8

时：有两组解

x1=1, y1=8

x2=2, y2=4 (

∵

x2+y2=2+4=6 < 7

∴不合题意，舍去

)

得到唯一解

x=1, y=8

当

B>8

时：容易证明均为多重解

结论：

当

B =6

时有唯一解

x=1, y=6< /p>

当

B=8

时有唯一解

x=1, y=8

4)

由题设条件：甲说“那我也知道了”

=>

甲通过已知条件

A=x+y

及推论

(3)

可以 得出唯一解

综上所述，原题所求有两组解：

x1=1, y1=6

x2=1, y2=8

当

x<=y

时，有

(1 <= x <= y <= 30);

同理可得唯一解

x=1, y=4

经验

4

：< /p>

（未）

1. In 1978, a kg of paper was sold at Rs25/-. If the paper rate increases at 1.5% more than the

inflation rate which is 6.5% a year, then what wil be the cost of a kg of paper after 2 years?

(a) 29.12

(b) 29.72

? 30.12

(d) 32.65

(e) none of these

2. In A,B,C are having some marbles with each of them.

A has given B and C the same number of marbles each of them already have.

Then, B gave C and A the same number of marbles they already have.

Then C gave A and B the same number of marbles they already have.

At the end A,B,and C have equal number of marbles.

(i) If x,y,z are the marbles initially with A,B,C respectively.

Then the number of marbles B have at the end

(a) 2(x-y-z)

(b) 4(x-y-z)

? 2(3y-x-z)

(d) x + y-z

Ans. ?

(ii) If the total number of marbles are 72, then the number of marbles with

A at the

starting

(a) 20

(b) 30

? 32

(d) 39

Ans. (d)

3. If a car starts from A towards B with some velocity.

Due to some problem in the engine after travelling 30km, the car goes with 4/5 th of its actual

velocity The car reaches B 45 min later to the actual time.

If the car engine fails ofter travelling 45km, the car reaches the destination B 36min late to the

actual time What is the initial velocity of car and what is the distance between A and

B in km?

Ans. 20 & 130.

25 & 105

4. A person has Rs 100/- in his pocket, he can as 25 pencils or 15 books.

He kept 15% of the money for travelling expenses and purchased 5 pencils.

So how many books he can purchase with the remaining money.

5. Ten questions on analogies.

eg: chief : tribe :: governer : state

epaulette : shoulder :: tiara : head

guttural : throat :: gastric : stomach

inept : clever :: languid : active

knife : butcher ::

hammer : carpenter ::

7. In a computer institute 9 languages can be taught.

The module is of 6 months duration and of the six languages only one can be taught each month .

In addition to that BASIC is always taught and should be in first month itself

WORD PERFECT is to be taught in the preceeding week of WORD STAR.

FORTRAN can not be taught until COBAL is taught prior to that

BINO, FIFO can never be taught in single module

languages are BASIC, WORD STAR, WORD PERFECT, FORTRAN, COBAL, BINO, FIFO, LOTUS, C

i) If word star is in 3rd month , what could be in 6th month.

ii) If COBAL is in the 2nd month and BINO in 6th month. FORTRAN will betaught in

which month.

8. In a class, except 18 all are above 50 years.

15 are below 50 years of age. How many people are there

(a) 30

(b) 33

? 36

(d) none of these.

Ans. (d)

9. A square plate of some size is cut at four corners. Equal squares of the

same size are cut and is formed as open box.

If this open box carries 128 ml of oil. What is the size of the side of the plate?

(a) 17

(b) 14

? 13

(d) None of these

10. In a square, all the mid points are joined. The inner square is shaded.

If the area of the square is A, what is the area of the shaded area?

11. Two questions on basic angles i.e given a circle, a few chords or diameter is drawn etc.

12. If the follwoing statements are given

@(a,b)= (a+b)/2

/(a,b)= a/b

*(a,b)= ab

If a=1, b=2 then find

i) /(a,(@(a,b),*(a,b)))

ii) */(a,@(*(a,b)))

13. If the follwoing statements are given

(x#y) = x + y- xy

(x*y) = (x + y)/2

i) Find the values of x, y will satisfy this equation (x#y)#(x*y) < (x#y)

ii) Find the values of x, y will satisfy this equation (a*b)#(b*c)<

(a#b)*(b*c)

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

Quantitative Paper : IBM Global Servicesl

1.A clerk multiplied a number by ten when it should have been divided by

ans he got was should the ans have been?

a:1

Rs20/- is available to pay for typing a research report & typist A produces 42 pages and typist

B produces 28 much should typist A receive?

a:Rs12/-

average salary of 3 workers is 95 Rs. per week. If one earns

Rs.115 and second earns Rs.65 how much is the salary of the 3rd worker.

Ans.105.

4.A 16 stored building has 12000 on each floor. Company A rents 7 floors and company B

rents 4 floors. What is the number of of unrented floor space.

Ans.60000

5. During a given week A programer spends 1/4 of his time preparing flow

chart, 3/8 of his time coding and the rest of the time in debugging the

programs. If he works 48 hours during the week , how many hours did he

spend debugging the program.

Ans. 18.

6. A company installed 36 machines at the beginning of the year. In March

they installed 9 additional machines and then disconnected 18 in August.

How many were still installed at the end of the year.

Ans. 27

7. A man owns 2/3 of the market research beauro business and sells 3/4 of

his shares for Rs. 75000. What is the value of Business.

Ans.150000

8. If 12 file cabinets require 18 feet of wall space, how many feet of wall space will 30 cabinets

require?

Ans.45

9.A computer printer produced 176,400 lines in a given day. If the

printer was in operation for seven hours during the day, how many lines did it print per minute?

Ans.420

10. From its total income, A sales company spent Rs.20,000 for advertising, half of the remainder

on commissions and had Rs.6000 left.

What was its total income?

Ans.32000

11. On Monday a banker processed a batch of cheques, on Tuesday she

processed three times as many, and on Wednesday she processed 4000

cheques. In the three days, she processed 16000 cheques. How many did

she process on Tuesday?

Ans.9000

12. The cost of four dozen proof machine ribbons and five dozen accouting

machine ribbons was Rs.160/-. If one dozen accounting machine ribbons

cost Rs.20/-, what is the cost of a dozen proof machine ribbons?

.15

13. If a clerk can process 80 cheques in half an hour, how many cheques

can she process in a seven and one half hour day?

Ans.1200

14. In a library, there are two racks with 40 books per rack. On a given

day, 30 books were issued. What fraction remained in the racks?

Ans.5/8

15. The average length of three tapes is 6800 feet. None of the tapes is

less than 6400 feet. What is the greatest possible length of one of the

other tapes?

Ans.7600

16. A company rented a machine for Rs.700/- a month. Five years later

the treasurer calculated that if the company had purchased the machine

and paid Rs.100/- monthly maintenance charge, the company would have

saved Rs.2000/-. What was the purchase price of the machine?

.34000

17. Two computers each produced 48000 public utility bills in a day. One

computer printed bills at the rate of 9600 an hour and the other at the

rate of 7800 an hour. When the first computer finished its run, how many

bills did the other computer still have to print?

Ans.9000

18. If a salesman's average is a new order every other week, he will

break the office record of the year. However, after 28 weeks, he is six

orders behind schedule. In what proportion of the remaining weeks does

he have to obtain a new order to break the record?

Ans.3/4

19. On a given day, a bank had 16000 cheques returned by customers.

Inspection of the first 800 cheques indicated that 100 of those 800 had

errors and were therefore the available immediately for data processing.

On this basis, hwo many cheques would be available immediately for data

processing on that day?

Ans.14000

20. A company figured it needed 37.8 of carpot for its reception

room. To allow for waste, it decided to order 20% more material than

needed. Fractional parts of cannot be ordered. At Rs.9/- a

, how much would the carpet cost?

Ans.

a. Rs.324 b) Rs.405 c) Rs.410 d) Rs.414 e) Rs.685

21. A tape manufacturer reduces the price of his heavy duty tape from

Rs.30/- to Rs.28/- a reel and the price of a regular tape from Rs.24/- to

Rs.23/- a reel. A computing centre normally spends Rs.1440/- a month for

tapes and 3/4 of this is for heavy duty tapes. How much will they save a

month under the new prices?

.87

132

22. In a team of 12 persons, 1/3 are women and 2/3 are men. To obtain a

team with 20% women how many men should be hired?

Ans.8

23. The dimensions of a certain machine are 48

″

X 30

″

X 52

″

. If the size

of the machine is increased proportionately until the sum of its

dimensions equals 156

″

, what will be the increase in the shortest side?

Ans. 6

″

24. In a certain company, 20% of the men and 40% of the women attended

the annual company picnic. If 35% of all the employees are man, what

percent of all the employees went to the picnic?

Ans.33%

21%

25. It cost a college Rs.0.70 a copy to produce a Programme for the

homecoming football game. If Rs.15,000/- was received for advertisements

in the programme, how many copies at Rs.0.50 a copy must be sold to make

a profit of Rs.8000/- ?

Ans. 35000

1. One person traveled 4 laps with the speed of 10,20,40 ( or 30) and 60 kmph

and what is the average speed.

answer:20

why?

4/(1/10+1/20+1/30+1/60)

18. If a salesman's average is a new order every other week, he will

break the office record of the year. However, after 28 weeks, he is six

orders behind schedule. In what proportion of the remaining weeks does

he have to obtain a new order to break the record?

经验

5

：

（未 ）

1. In 1978, a kg of paper was sold at Rs25/-.If the paper rate increases at 1.5% more than the

inflation rate which is 6.5% a year, then what wil be the cost of a kg of paper after 2 years?

(a) 29.12

(b) 29.72

(c)30.12

(d) 32.65

(e) none of these

2. In A,B,C are having some marbles with each of them.A has given B and C the same number of

marbles

each

of

them

already

,

B

gave

C

and

A

the

same

number

of

marbles

they

already

C

gave

A

and

B

the

same

number

of

marbles

they

already

the

end

A,B,and C have equal number of marbles.

(i) If x,y,z are the marbles initially with A,B,C the number of marbles B have at