Data Sufficiency Number System
Data Sufficiency Number System
Data Sufficiency Number System
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