Integer Review: Fundamentals of Integers , Rules for Multiplication , Rules for divisibility, Division Terminology, Even & Odd Integer, Rules about even & odd integer, Prime Number, Prime Factorization , Distinct Prime Number, LCM & HCF, Composite Numbers , Consecutive Integers
Class Questions : Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5
Practice Questions : Solutions
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GRE Integer Exercise 3
Q.5 The result of an equation 28 – 5a is always a prime number then which of the following value of ‘a’ will not justify the equation?
A. 5
B. 3
C. 2
D. 4
E. 1
Solution;
By taking all the values individually this problem can be solved.
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28 – 5 x 5 = 28 – 25 = 3, is a prime number.
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28 – 5 x 3 = 28 – 15 = 13, is a prime number.
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28 – 5 x 2 = 28 – 10 = 18, not a prime number.
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28 – 5 x 4 = 28 – 20 = 8, not a prime number.
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28 – 5 x 1 = 28 – 5 = 23, is a prime number.
The options A, B, and E are prime numbers but options C and D are not prime numbers, so correct answer choice will be ‘C’ and ‘D’.
Q.6
Quantity A Quantity B
1 Even and prime number
A. If Quantity A is greater
B. If Quantity B is greater
C. If Quantity A and Quantity B are equal
D. The relationship cannot be determined from given information
Solution;
As there is only one even and prime number which is ‘2’
So, if we compare the value of Quantity A = 1 and value of Quantity B = 2
Quantity B will be greater, hence correct answer choice is ‘B’.
Integer Review: Fundamentals of Integers , Rules for Multiplication , Rules for divisibility, Division Terminology, Even & Odd Integer, Rules about even & odd integer, Prime Number, Prime Factorization , Distinct Prime Number, LCM & HCF, Composite Numbers , Consecutive Integers
Class Questions : Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5