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CAT DOSE 1.........find d answers ..
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Post CAT DOSE 1.........find d answers .. - May 15th, 2006

Q1. How many numbers between 1 to 550 are divisible by 5 but
not by 9?

Q2. How many numbers between 1 to 165 are not divisible either
by 8 or by 6?

Q3. How many numbers between 1 to 1950 are divisible either
by 5 or by 11?

Q4. A= set of numbers from 1 to 275. There are 55 numbers in A
that are divisible by X and 39 numbers in A that are divisible by Y.
How many numbers in A are divisible by both X and Y?

Q5 and Q6 are based on following information:
A = set of first N positive numbers. There are 46 numbers in N
divisible 8 and 31 numbers in N divisible by 12. N takes the
maximum possible value which satisfy the mentioned
conditions.
Q5. What is the value of N?
Q6. How many numbers in N are divisible by both 8 and 12?

Q7 and 8 are based on following information:
A= set of numbers from 1 to 530. 69 numbers are divisible by X
but not by Y. 42 numbers are divisible by Y but not by X. 75
numbers are divisible by X.
Q7. How many numbers are divisible by Y?
Q8. How many numbers in A are not divisible by any of X and Y?

Q9. What is the sum of the set of numbers satisfying 2^n <1000
where n>1?

Q10. How many numbers between 1 to 300 can be
represented in form x^y, where both x and y are distinct positive
even numbers?

Q11. How many numbers between 1 to 300 can be represented
in form x^y where both x and y are positive integers and x>y>1?

Q12. How many numbers between 1 to 250 can be represented
in form x^y where y>x>1?

Q13. S= set of numbers that are divisible by 7. P = set of
numbers divisible by 17. R = set of even numbers less than 500.
How many numbers are common in the three sets?

Q14. Find the number of numbers between 1 to 460 that are odd
and divisible by 7.

Q15 and Q16 are based on following information:
A = set of first N positive numbers. There are 16 numbers in A
which are divisible by both X and Y. There are 50 numbers in A
divisible by X but not by Y and 34 numbers in A divisible by Y but
not by X.
Q15. How many numbers in A are divisible by any of the two
numbers ?
Q16. How many numbers in N are divisible by X?

Q17 and 18 are based on the following information:
A girl has a certain number of sweets. She gives half to her
brother and then takes back 4 from him. Now she gives half of
what she has to her mother and takes back one from her. Later
she gives half of what she has to her father and takes back one
from him. In the end she gives half of what she has to her sister
and she is left with 5 sweets.
Q17. How many sweets was she less at the end from the
starting point?
Q18. How many did sweets did her brother have at the end
(Assume he had none in the beginning)?

Q19 and 20 are based on following information:
A girl has certain number of flowers. One by one she goes to her
brother, sister, father and mother to ask for more flowers.
Each one of them gives her the same number of flower she has
with her to double her flowers. Also after she gets the flower from
each of them she throws away one flower in a pond. At the end
she is left with 49 flowers.
Q19. How many flowers did she have in the beginning?
Q20. How many flowers did she get from her sister whom she
visited second?





MATCH THE WORDS IN SET A WITH THEIR MEANINGS IN SET B


SET A:
21. Prophylactic 22. Sapient 23.Supercilious 24. Capitation
25. Holocaust

SET B:
A. Haughtily aloof.
B. Silly or foolish.
C. Used to prevent or guard against disease.
D. Wholesale sacrifice or destruction, esp. by fire.
E. Factually accurate
F. Wise and discerning
G. Tax levied against each person
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