GRE Problem Solving Select Many SAMPLE QUESTIONS-7

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GRE Problem Solving Select Many Sample Questions

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1. Question:

A sum is invested such that it increases by 12% of itself in every year. Which of the following is true? Indicate all such choices.

A. If $3500 is invested, it becomes more than $4000 in two years.

B. If $3500 is invested in 1992, it becomes $4390.40 in 1994

C. If $x is invested in 2000, it becomes more than twice itself in 3 years

D. The interest is added to the principle every year.

E. The principle remains the same year after year.

Correct Answer: A, B and E

Explanation:

The interest here is compounded annually.

Let the sum be P, R and T be the rate of interest and time respectively.

For $3500 invested for 2 years, we have

Amount = P(1+R/100)^T

= 3500(1+12/100)^2

= 3500(112/100)^2

= $4390.40

The options A and B are both true.

For Rs. 2000 invested for 3 years, we have

Amount = 2000(1+12/100)^3

= 2000(112/100)^3

= 2809.85

The option C is false.

Since the sum increases by 12% of itself every year, the interest is added to the principle to calculate the interest every successive year.

Option D is true and E is false.

[100^t=100*100*....t times]

2. Question:

A clock gains 10 minutes every 24 hours. It is set right on Monday at 8 a.m. Which of the following statements is true? Indicate all correct choices.

A. It gains 30 minutes by Wednesday at 8 am

B. It gains 1 hour in one week

C. It shows 7.50 am on Tuesday at 8 am

D. It shows 8.10 am on Tuesday at 8 am

E. It gains more than one hour in one week

Correct Answer: D and E

Explanation:

The clock gains 10 minutes in 24 hours.

Hence, it gains 30 minutes in 24*3 = 72 hours.

It gains 30 minutes by Thursday at 8 am

Option A is false.

It gains 10 minutes every day and hence it gains 10*7 = 70 minutes in a week.

Option B is false and E is true.

The clock gains 10 minutes and hence on Tuesday it shows 8.10 am at 8 am.

Option C is false and D is true.

3. Question:

12th January 1997 was a Sunday. Which of the following is true? Indicate all correct options.

A. 12th January 1996 was a Sunday

B. 12th January 1999 will be a Tuesday

C. 10th January 1999 will be a Sunday

D. 7th January 2000 will be a Saturday

E. 7th January 2001 will be a Sunday

Correct Answer: B, C and E

Explanation:

12th January 1997 was a Sunday

12th January 1996 was a Friday, since 1996 was a leap year. Hence, the same date in the consecutive year would be two days ahead.

12th January 1999 will be a Tuesday since it would be a Monday in 1998 and hence a Tuesday in 1999.

10th January 1999 will be a Sunday since 12th January 1999 will be a Tuesday.

Option A is false and B and C are true.

7th January 1997 will be a Tuesday. 7th Jan 2000 would be a Friday.

7th January 2001 would be a Sunday since 2000 is a leap year.

Option D is false and E is true.

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