Data Sufficiency Number System

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DATA SUFFICIENCY

Q1. In a sequence of 13 consecutive integers, all of which are less than 100, there are exactly 3 multiples
of 6. How many integers in the sequence are prime?
1) Both the multiples of 5 in the sequence are also multiples of either 2 or 3.
2) Only one of the 2 multiples of 7 in the sequence is also not a multiple of 2 or 3.
Q2. If x 0. Is |x|<1?
1) x/|x|<x
2) |x|>x
Q3. If y is an integer, is y3 divisible by 9?
1) y is divisible by 4
2) y is divisible by 6.
Q4. Is xy > (x/y)?
1) xy > 0
2) y < 0
Q5. If x >1 & y > 1, is x < y?
1) x2 /(xy+x) < 1
2) xy/(y2-y) < 1
Q6. If units digit of 3 digit +ve integer K is nonzero, what is the tens digit of K?
1) The tens digit of K+9 is 3
2) The tens digit of K+4 is 2
Q7. What is the remainder when +ve integer n is divided by 3?
1) Remainder when n is divided by 2 is 1
2) Remainder when n+1 is divided by 3 is 2
Q8. What is the value of x?
1) When x is multiplied by 8, the result is between 50 and 60
2) When x is doubled, the result is between 10 and 15
Q9. Is 30 a factor of n?
1) 30 is a factor of n2
2) 30 is a factor of 2n
Q10. p is an integer, n is an integer and p/n is an integer. Is p/n=odd?
1) p is divisible by 4
2) n is divisible by 4
Q11. If K is a +ve integer less than 10 & N=4321+K, what is the value of K?
1) N is divisible by 3
2) N is divisible by 7
Q12. Is the product of x & y > 60?
1) x+y > 60
2) each of the variables is greater than 2
Q13. Is (x7)(y2)(z3) > 0?
1) yz < 0
2) xz > 0
Q14. If x>1, what is the value of integer x?
1) There are x unique factors of x
2) The sum of x & any prime number larger than x is odd

Q15. If w, x, y, z are integers and w+x=y, is y divisible by z?


1) w and x each have a remainder of 1 when divided by z
2) z=2
Q16. If x, y and z are integers, is x/(yz) an integer?
1) y is a factor of x more than once
2) All of the prime factors of z are also factors of y
Q17. What is the value of x?
1) 13x > 12x
2) x2=9
Q18. Is x > y?
1)
x2 > y2
2)
xy < 0
Q19. If x & y are integers, is xy+1 divisible by 3?
1) When x is divided by 3, the remainder is 1
2) When y is divided by 9, the remainder is 8
Q20. If @ represents a digit in 7 digit no. 3,62@,215, what is the value of @?
1) Sum of 7 digits is equal to 4 times an integer
2) Missing digit is different from any of the other digits in the number
Q21. Pam & Ed are in a line to purchase tickets. How many people are in the line?
1) There are 20 people behind Pam and 20 people in front of Ed.
2) There are 5 people between Pam & Ed
Q22. The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6-n
pts. If one of its runner finished in nth place where 1n5. If all the runners finished the race &
there were no ties, was each team awarded at least one point?
1) No team awarded more than a total of 6 points
2) No pair of teammates finished in consecutive places among the top five places.
Q23. Is z+z<z?
1)
-4z > 4z
2)
z3 < z2
Q24. If x & y are +ve integers, is 2x a multiple of y?
1) 2x+2 is a multiple of y
2) y is a multiple of x
Q25. If z1, z2, z3,.,zn is a series of consecutive +ve integers, is the sum of all the integers in this
series odd?
1) Average of all the numbers in the series is odd
2) n is odd
Q26. If x & y are +ve integers, what is the remainder when x is divided by y?
1) When x is divided by 2y, the remainder is 4
2) When x+y is divided by y, the remainder is 4
Q27. Is p+q > r+s?
1) p > r+s
2) q > r+s
Q28. Sequence S consists of 24 nonzero integers. If each term in S after the second is product of the
previous 2 terms, how many terms in S are ve?
1) 3rd term in S is +ve
2) 4th term in S is ve

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