# GRE Problem Solving Select Many SAMPLE QUESTIONS-1

## GRE Problem Solving Select Many Sample Questions

1. Question :

Two shopkeepers mark items at the same marked price. The first allows two successive discounts of 15% and 20%. The second shopkeeper allows two discounts of 20% and 10%. Which of the following is true? Indicate all correct options.

A. The first sold the items at a lower price

B. The second sold the items at a lower price

C. Both of them sold the items for the same price

D. Total discount given by the first shopkeeper was 22%

E. Total discount given by the second shopkeeper was 28%

Explanation:

Let the marked price be MP

SP = (100-discount)*MP/100

SP of the first shopkeeper

SP after 15% off = (100-15)MP/100

= 85MP/100

SP after 20% off = (100-20)(85MP/100)/100

= 80*85MP/10000

= 68MP/100

Total discount = 100-68 = 32%

SP of the second shopkeeper

SP after 20% off = (100-20)MP/100

= 80MP/100

SP after 10% off = (100-10)(80MP/100)/100

= 90*80MP/10000

= 72MP/100

Total discount = 100-72 = 28%

Option A is true and B and C are false.

Option D is false and E is true.

2. Question:

Which of the following numbers are co-primes? Indicate all correct options.

A. 7 and 47

B. 6 and 36

C. 8 and 81

D. 10 and 109

E. 3 and 39

Correct Answer: A, C and D

Explanation:

7 and 47 are co-primes since both 7 and 47 are primes.

6 and 36 are not co-primes since they have 6 as their common factor.

8 and 81 are coprimes.

10 and 109 are co-primes.

3 and 39 have 3 as their common factor and hence they are not co-primes.

Options A, C and D are true.

3. Question:

Which of the following numbers are divisible by 125? Indicate all such options.

A. 55120

B. 50512

C. 50125

D. 51250

E. 52105