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  • Question
  • x and y are integers x + y < 11 , and x > 6 What is the smallest possible value of x - y ?


  • Options
  • A. 1
  • B. 24
  • C. 4
  • D. -2

  • Correct Answer


  • Explanation

    The smallest value will be obtained by giving x the smallest possible value while y gets the largest possible value. The smallest value for x = 7. This means that y will have to be less than or equal to 3 (so that x + y <11), but we want the largest value of y which is 3.

    The difference, x - y will be 4.

  • Tags: GRE

    Problems on Numbers


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    • 1. If two painters can complete two rooms in two hours, how many painters would it take to do 18 rooms in 6 hours?

    • Options
    • A. 2 painters
    • B. 6 painters
    • C. 4 painters
    • D. None
    • Discuss
    • 2. The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?

    • Options
    • A. 0.2
    • B. 0.3
    • C. 0.4
    • D. 0.5
    • Discuss
    • 3. The difference between a number and its three-iflh is 50. What is the number ?

    • Options
    • A. 75
    • B. 100
    • C. 125
    • D. 150
    • Discuss
    • 4. N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 5?

    • Options
    • A. 4
    • B. 2
    • C. 0
    • D. 1
    • Discuss
    • 5. The average of 25 consecutive odd integers is 55. The highest of these integers is

    • Options
    • A. 79
    • B. 105
    • C. 155
    • D. 109
    • Discuss
    • 6. The difference between 4632 and 20000 is what number

    • Options
    • A. 15368
    • B. 12652
    • C. 14562
    • D. 14965
    • Discuss
    • 7. If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

    • Options
    • A. 1
    • B. 0
    • C. 2
    • D. -1
    • Discuss
    • 8. The 4th term of an arithmetic progression is 15, 15th term is -29, find the 10th term?

    • Options
    • A. -5
    • B. -13
    • C. -17
    • D. -9
    • Discuss
    • 9. Among three numbers , second is twice the first and also thrice the third . If the average of the three numbers is 33 , then the largest number is

    • Options
    • A. 36
    • B. 54
    • C. 62
    • D. 72
    • Discuss
    • 10. What least number must be added to 1039, so that the sum obtained is completely divisible by 29?

    • Options
    • A. 4
    • B. 5
    • C. 8
    • D. 6
    • Discuss


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