4
Q:

x and y are integers

x + y < 11 , and x > 6

What is the smallest possible value of x - y ?

A) 1 B) 24
C) 4 D) -2

Answer:   C) 4



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.

Subject: Problems on Numbers
Exam Prep: GRE
Q:

A number was divided in the ratio 3:2. When 8 was was added to each of the numbers the ratio changed to 7:5. The greater of the two numbers was

A) 48 B) 42
C) 27 D) 69
 
Answer & Explanation Answer: A) 48

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1 506
Q:

Which of the following is the prime number series from 1 to 20?

A) 1, 2, 3, 5, 7, 11, 13, 17, 19 B) 3, 5, 7, 11, 13,17, 19
C) 2, 5, 7, 9, 11, 13, 17, 19 D) 2, 3, 5, 7,11, 13, 17, 19
 
Answer & Explanation Answer: D) 2, 3, 5, 7,11, 13, 17, 19

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0 354
Q:

If x2 + ax + b, when divided by x - 3, leaves a remainder of 22 and x2 + bx +a, when divide by x - 3, leaves a remainder of 24, then a + b = ?

 

A) 23 B) -23
C) 7 D) -7
 
Answer & Explanation Answer: C) 7

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Q:

What is the fraction which, when taken away from 1/2, gives 2/3?

A) 1/3 B) -1/3
C) -1/6 D) 1/6
 
Answer & Explanation Answer: C) -1/6

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0 300
Q:

Which is the correct ascending order of the given numbers?

A) 1/2, 2/3, 7/12 B) 7/12, 2/3, 1/2
C) 1/2, 7/12, 2/3 D) 2/3, 1/2, 7/12
 
Answer & Explanation Answer: C) 1/2, 7/12, 2/3

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0 309
Q:

Which of the given options is the pattern of the sequence 1, 5, 11, 19, 29?

 

A) x2 + x - 1 B) x2 + x + 1
C) x2 + x - 2 D) x2 - x - 1
 
Answer & Explanation Answer: A) x2 + x - 1

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1 4385
Q:

The product of two numbers is 20. One of them is 1.25. What is the other number?

A) 12 B) 14
C) 16 D) 15
 
Answer & Explanation Answer: C) 16

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Q:

 In a fraction when 3 is added to its numerator and denominator it becomes 4/5. And it becomes 1/2 when 2 is subtracted from both the numerator and denominator. Find the fraction.

 

A) 15/16   B) 14/16
C) 11/16   D) 9/16
 
Answer & Explanation Answer: C) 11/16  

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