Problem Solving Select Many GRE Sample Questions 9
GRE Problem Solving Select Many Sample Questions
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1. Question:Which of the following numbers is divisible by 18? Indicate all correct choices.
- A. 12345678
- B. 87654321
- C. 13246587
- D. 87651234
- E. 54321876
Explanation:
A number is divisible by 18 if it is even and it is divisible by 9.
1+2+3+4+5+6+7+8= 36
Since all the given numbers are formed from these digits, we just have to check for even numbers.
The even numbers are in options A, D and E, which are divisible by 18.
2. Question:
Which of the following is a perfect square? Indicate all such options.
- A. 36
- B. 47
- C. 900
- D. 100000
- E. 800
Explanation:
sqrt(36) = 6
47 is not a perfect square.
sqrt(900) = 30
100000 is not a perfect square.
800 is not a perfect square.
Options A and C are true.
3. Question:
Which of the following numbers can be multiplied with a prime number to give a perfect cube? Indicate all correct choices.
- A. 1944
- B. 72
- C. 196
- D. 243
- E. 1715
Explanation:
1944 = (2*2*2)*(3*3*3)*(3*3)
When multipled by 3, 1944 becomes a perfect cube.
72 = (2*2*2)*(3*3)
When multiplied by 3, 72 becomes a perfect cube.
196 = (2*2)*(7*7)
When multiplied by 14, 196 becomes a perfect cube. But 14 is not a prime number.
Hence option C is not true.
81 = (3*3*3)*3
When 81 is multiplied by 9, it becomes a perfect cube. But 9 is not a prime number.
Option D is not true.
GRE Problem Solving Select Many Sample Questions
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