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1
EDUSAT
AGENDA :
MODERN MATHS
PARTNERSHIP
DATA SUFFICIENCY
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MODERN MATHS
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1. Four persons enter a railway carriage in whichthere are six seats; in how many ways can theytake their places?a)720 b) 360
c)120 d)370
2. From 12 books in how many ways can aselection of 5 be made (1) when one specified
book is always included, (2) when one specifiedbook is always excluded?a) 450 b) 570 c) 330 d) 550a) 500 b) 462 c) 362 d) 366
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3. How many different numbers can be formed byusing six out of the nine digits 1,2,3,.....9 ?a) 60346 b)504 c)654 d) 60480
4. From 7 Englishmen and 4 Americans acommittee of 6 is to be formed; in how manyways can this be done,
(1) when the committee contains exactly 2Americans,(2) at least 2 Americansa) 210 b) 370 c) 410 d) 230a) 270 b) 371 c) 551 d) 390
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5. Out of 7 consonants and 4 vowels, how manywords can be made each containing 3
consonants and 2 vowelsa) 34000 b) 26200 c) 25200 d) 30000
6. How many different permutations can be made
out of the letters of the word assassination takenall together?a)10810800 b) 10900100c)10610800 d)10701000
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7. In how many ways can 5 prizes be given awayto 4 boys, when each boy is eligible for all the
prizes?a)1036 b) 1024c) 500 d)1200
8. A man has 6 friends; in how many ways mayhe invite one or more of them to dinner?a)47 b) 54c) 81 d) 63
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11. In how many ways can the letters of the wordDIAGRAM be arranged, taken all together insuch a way that the vowels are always together.a.360 b.120c.720 d.180
12. In how many ways can 5 books on English, 3on Science and 6 on Geography be arranged on
a shelf so that the books on each subject arealways together?a.259200 b.1036800c.518400 d.31,10,400
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13. How many words can be formed from theletters of the word QUESTION so that thevowels are never together?a. 2880 b. 37,440
c. 556 d. None
14. A car manufacturer produces only red andblue models which come out of the final
testing area completely at random. What are theodds that 5 consecutive cars of the same colorwill come through the testarea at any one time?1. 1 in 16 2. 1 in 1253. 1 in 32 4. 1 in 25
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15. After the typist writes 12 letters and addresses12 envelopes, she inserts the letters randomlyinto the envelopes (1 letter per envelope). What isthe probability that exactly 1 letter is inserted in
an improper envelope?1.0 2.12/2123.11/12 4.1/12
16. What is the probability of getting the sum 5 intwo throws of the dice?a. 1/12 b. 1/5c. 1/9 d. None of these
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17. What is the chance of throwing a numbergreater than 4 with an ordinary die whose facesare numbered from1 to 6.
a)1/4 b) 1/2c) 1/6 d)1/3
18. Two unbiased coins are tossed. What is the
probability of getting atmostone heada. b. c. d.1/3
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19. A bag contains 6 white and 4 black balls. Two
balls are drawn at random. Find the probabilitythat they are of the same colour.a. b. 7/15c. 6/13 d. 2/3
20. A speaks truth in 60% cases and B speakstruth in 70% cases. The Probability that they willsay the same while describing the single event
is?a. 0.56 b.0.54c. 0.58 d. None of these
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PARTNERSHIP
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1. A and B enter into a partnership. A puts in Rs.3000/ and at the end of 4 months withdraws Rs.1500 whereas B brought in additional capital ofRs. 1000 after 3 months. Out of the total profit ofRs. 390 at the end of the year, if As share is Rs.240. Find the initial capital of B.
1. Rs. 1000 2. Rs. 5003. Rs. 2000 4. None of these
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2. Three friends A, B, C started a joint venture byinvesting money in the ratio of 2:3:4 respectively.A withdrew half of his money after some months.
A few months before the end of the year, C toowithdrew one-fourth of his money. If theydistributed profits in the ratio 2:4:5 respectively,then after how many months did C withdraw one-
fourth of his money?
1. 6 2. 93. 4 4. Cannot be determined
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DATA
SUFFICIENCY
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1. What is the sumof 2 numbers?
I. The LCM of the numbers is 51.II. One of the numbers is 17.
1. If the question can be answered by using one
of the statements alone, but cannot be answeredusing the other statementalone.2. If the question can be answered by usingeither statementalone.3. If the question can be answered by using bothstatements together, but cannot be answeredusingeither statementalone.4. If the question cannot be answered even byusing both statements together.
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3. LCM of 2 numbers is 630. What is the absolute
difference between them?I. HCF is 9.II. The sum of the 2 numbers is 153.
1. If the question can be answered by using one
of the statements alone, but cannot be answeredusing the other statement alone.2. If the question can be answered by usingeither statementalone.
3. If the question can be answered by using bothstatements together, but cannot be answeredusing either statement alone.4. If the question cannot be answered even byusing both statements together.
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5. If a, b and c are integers, is 3(a + b) + cdivisible by 3?
I. (a + b) is divisible by 3.II. c is divisible by 3.
1. If the question can be answered by using one
of the statements alone, but cannot be answeredusing the other statement alone.2. If the question can be answered by usingeither statement alone.
3. If the question can be answered by using bothstatements together, but cannot be answeredusing either statement alone.4. If the question cannot be answered even by
using both statements together.Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/)
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6. In which year was Rahul born?I. Rahul at present is 25 years younger to hismother.II. Rahul's brother, who was born in 1964, is 35years younger to his mother.
1. If the question can be answered by using oneof the statements alone, but cannot be answeredusing the other statement alone.2. If the question can be answered by usingeither statement alone.
3. If the question can be answered by using bothstatements together, but cannot be answeredusing either statement alone.4. If the question cannot be answered even by
using both statements together.Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/)
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