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GRE Maths Problem Solving

GRE Maths Problem Solving

Question 1 of 12

1

3x + y = 19 , and x + 3y = 1.
Find the value of 2x + 2y

Select one or more of the following:

  • 20

  • 18

  • 11

  • 10

  • 5

Explanation

Question 2 of 12

1

The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

Select one or more of the following:

  • 45%

  • 40%

  • 35%

  • 32.5%

  • 30%

Explanation

Question 3 of 12

1

x and y are integers
x + y < 11 , and x > 6
What is the smallest possible value of x - y ?

Select one or more of the following:

  • 1

  • 2

  • 4

  • -2

  • -4

Explanation

Question 4 of 12

1

x and y are integers
x + y < 11 , and x > 6
What is the smallest possible value of x - y ?

Select one or more of the following:

  • 1

  • 2

  • 4

  • -2

  • -4

Explanation

Question 5 of 12

1

If x\(^5\)y\(^4\)z\(^2\) <0 , which of the following must be true?

Select ALL such statements.

Select one or more of the following:

  • xy < 0

  • yz < 0

  • xz < 0

  • x < 0

  • x\(^5\) < 0

Explanation

Question 6 of 12

1

In a certain village, m litres of water are required per household per month. At this rate, if there are n households in the village, how long (in months) will p litres of water last?

Select one or more of the following:

  • p /mn

  • mn / p

  • mp / n

  • np / m

  • npm

Explanation

Question 7 of 12

1

What digit appears in the units place in the number obtained when 2\(^{320}\) is multiplied out?

Select one or more of the following:

  • 0

  • 2

  • 4

  • 6

  • 8

Explanation

Question 8 of 12

1

Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

Select one or more of the following:

  • 10

  • 15

  • 20

  • 25

  • 30

Explanation

Question 9 of 12

1

Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

Select one or more of the following:

  • 10

  • 15

  • 20

  • 25

  • 30

Explanation

Question 10 of 12

1

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

Select one or more of the following:

  • 5 : 1

  • 10 : 5

  • 15 : 2

  • 20 : 2

  • 25 : 2

Explanation

Question 11 of 12

1

Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?

Select one or more of the following:

  • 4

  • 7

  • 8

  • 12

  • it cannot be determined from the information given.

Explanation

Question 12 of 12

1

After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?

Select one or more of the following:

  • 20

  • 15

  • 8

  • 5

  • 3.2

Explanation

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