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 natural number, when divided by 4, 5, 6 or 7, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

A) 63 B) 423
C) 843 D) 213
 
Answer & Explanation Answer: B) 423

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Exam Prep: Bank Exams

1 437
Q:

The square root of which of the following numbers is irrational?

A) 3969 B) 5625
C) 6560 D) 1764
 
Answer & Explanation Answer: C) 6560

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Exam Prep: Bank Exams

0 402
Q:

What is the mean of first hundred natural numbers?

A) 50 B) 50.5
C) 51.5 D) 51
 
Answer & Explanation Answer: B) 50.5

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Exam Prep: Bank Exams

1 440
Q:

For what value of 'y', x2 + 112x + y2 is a perfect square?

A) 1/24 B) 1/12
C) 1/6 D) 1/3
 
Answer & Explanation Answer: A) 1/24

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Exam Prep: Bank Exams

0 589
Q:

If a number 657423547X46 is divisible by 11, then find the value of X.

 

A) 7 B) 9
C) 8 D) 6
 
Answer & Explanation Answer: B) 9

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Exam Prep: Bank Exams

1 5088
Q:

What will be the maximum power of 8 that exactly divides 25!?

A) 6 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: B) 7

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Exam Prep: Bank Exams

0 519
Q:

Calculate the difference between the square of the largest and smallest two-digit prime numbers.

A) 9298 B) 9892
C) 9292 D) 9288
 
Answer & Explanation Answer: D) 9288

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Exam Prep: Bank Exams

0 562
Q:

Find the greatest four digit number when divided by 8, 12, 16 leaves 2 as remainder in every case?

A) 9984 B) 9985
C) 9986 D) 9987
 
Answer & Explanation Answer: C) 9986

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0 497