# Problem Solving Select Many GRE Sample Questions 6

## GRE Problem Solving Select Many Sample Questions

1. Question:

Which of the following are the missing numbers in the series 7, 26, 63, 124, ___, 342, ___ ? Indicate all correct choices.

• A. 246
• B. 234
• C. 215
• D. 511
• E. 556
Correct Answer: C and D Explanation:

The series is 7, 26, 124, ___, 342, ___

The terms are (2^3-1), (3^3-1), (4^3-1), (5^3-1), (6^3-1), (7^3-1),...

The missing numbers are 6^3-1= 215 and 8^3-1= 511

The options C and D are correct.

[2^=2*2*2]

2. Question:

Sugar at Rs. 15 per kg is mixed with sugar at Rs. 20 per kg in the ratio 2:3. Which of the following is true? Indicate all correct options.

• A. The price per kg of the resulting mixture is Rs. 17 per kg
• B. The price of the resulting mixture is Rs. 18 per kg
• C. The price of the resulting mixture is Rs. 17.50 per kg
• D. The selling price per kg of selling the sugar at 5% profit is Rs. 20
• E. The selling price per kg of selling the sugar at 10% profit is Rs. 19.80
Correct Answer: B and E Explanation:

Let the quantity of sugar at Rs.15 and at Rs.20 per kg be 2x and 3x kg respectively

Total quantity = 2x+3x=5x

Price per kg of resulting sugar = (2x*15+3x*20)/5x

= (30x+60x)/5x

= 90x/5x = Rs.18

Option B is true and A and C are false.

Cost price (CP) of sugar = Rs. 18

Let selling price be SP

SP = (100+gain%)CP/100

= (100+5)18/100

= 105*18/100

= Rs.18.90

Option D is false.