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21. Question: On what date is Anju's birthday?
Statements:
(i) Paro says that her birthday falls sometime in February,1976.
(ii) Charu says that her birthday falls after 27th of the month.
Answer: Option E
Explanation:Since 1976 was a leap year we get two possible dates of birth: 28th Feb,1976, and 29th Feb, 1976. Hence, the data are insuffic1ent.
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22. Question: Is Anil taller than Sachin?
Statement :
(i) Dinesh is of the same height as Arun and Sachin.
(ii) Sachin is not shorter than Dinesh.
Answer: Option A
Explanation:From statement (i), we can conclude that Dinesh, Arun and Sachin are of same height. So, Arun is not taller than Sachin. So, only statement (i) is sufficient to answer the question.
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23. Question: In a certain code language, '13' means 'stop smoking' and '59' means 'injurious habit'. What is the meaning of '9' and '5' respectively in that code?
Statement:
(i) '157' means 'stop bad habit'
(ii) '839' means 'smoking is injurious'
Answer: Option B
Explanation:'59' means 'injurious habit' and '157' means 'stop bad habit'. Hence common letter '5' denotes 'habit'. Hence '9' is obviously 'injurious'. So I alone can be sufficient. Also, '59' is 'injurious habit' and '839' is 'smoking is injurious' from which it can be implied that '9' is 'injurious'. Hence II alone can also be sufficient. Hence either I or II alone can be sufficient.
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24. Question: If x, y and z are different integers, is x divisible by 11?
Statement:
(i) xyz is divisible by 22 and 33
(ii) yz is divisible by 72
Answer: Option E
Explanation:Here is no explanation for this answer
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25. Question: A die is rolled randomly on to a circular board with a triangle inscribed in the circle. (All three vertices of the triangle are on the circumference of the circle.) What is the probability that the die comes to rest outside the triangular region?
Statement:
(i) The hypotenuse of the triangle is a diameter of the circle.
(i) The radius of the circle is 2 units, and the area of the triangle is 4 square units.
Answer: Option B
Explanation:Here is no explanation for this answer
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26. Question: A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?
(i) 20 percent of the male faculty members have a doctorate.
(ii) A total of 1140 faculty members have only a masters degree.
Answer: Option C
Explanation:Here is no explanation for this answer
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27. Question: The retail price of a certain refrigerator was Z dollars. Nina was given a further 10 percent discount on the already discounted sale price (Y) of this refrigerator. Given that the price Nina paid was X dollars, what was the dollar value of the extra 10 percent discount that she obtained?
Statement:
(i) The sale price, Y, was 90 percent of the normal retail price, Z.
(ii) If the sale price, Y, had been 20 dollars more, then X would have been $14 less than this new value of Y.
Answer: Option E
Explanation:Here is no explanation for this answer
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28. Question: In triangle ABC all the sides have integer lengths. What is the length of side AC?
Statement:
(i) AB = 3 and BC = 4
(ii) One of the angles of ABC is a right angle
Answer: Option C
Explanation:Here is no explanation for this answer
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29. Question: Is x < 0 ?
Statement:
(i) 7x > 8x
(ii) -3(x) >0
Answer: Option D
Explanation:Here is no explanation for this answer
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30. Question: In what year was Anu born?
Statement:
(i) Anu's daughter was born in 1960 when Anu was 28 years old.
(ii) Anu's birthday and her daughter's birthday are exactly six months apart.
Answer: Option E
Explanation:Here is no explanation for this answer
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