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In ?PQR, (Q = 70o. A, B and C are the midpoints of sides QR, PR and PQ respectively. If (PBC = 30o, find (ABR.

30(

80(

70(

60(

45(

In a 70 litre mixture, the ratio of water & milk is 3: 4. If 10 litre of water is added to the mixture, what will be the resulting ratio of milk & water?

1 : 2

1 : 1

3 : 2

2 : 1

4 : 7

The diagram below shows three square rooms that form the bottom floor of a house. If the area of the kitchen is 9 square feet, and the area of the drawing room is 49 square feet, what percent of the total floor space does the living room occupy (to the nearest whole number percent)?

42%

58%

79%

63%

89%

A milkman adds water to milk in the ratio 1: 3. A restaurant adds 100 ml of water to a liter of milk bought from the milkman. 440 ml of this mixture is then used to make ice cream. How much of pure milk is the restaurant left with?

450 ml

400 ml

475 ml

350 ml

375 ml

How many real numbers satisfy both the inequality 5x – 15 < 0 and the inequality 5 – 3x < 11?

1

2

3

0

Infinite Values

In a mixture there is 40 % wine, a person stole some quantity out of this vessel and replaced with water. As a result, the total mixture now has 30 % wine. What part of the total was stolen?

1/2nd

1/3rd

1/4th

1/5th

1/6th

The ratio of two numbers is 3 : 7. If 4 is added to the greater number and 4 is subtracted from the smaller number, the greater number becomes three times the smaller one. Find the numbers.

12, 28

18, 42

24, 56

21, 49

15, 35

The distance of the horizon from a place varies directly as cube root of the height of the place. From a place 216 m high, the distance of the horizon is 1080 m. To which height should one go in order that the distance of the horizon should be 1800 m?

900 m

850 m

975 m

1050 m

1000 m

There are two examination halls, A and B. If 20 students are sent from A to B, then the number of students in each room is the same. If 20 students are sent from B to A, then the number of students in A is thrice of that in B. The number of students in A and B respectively are

100, 80

100, 60

80, 40

140, 100

None of these

A business budgets 40 percent of its net revenue to pay salaries. If $ 60, 000 is budget for salaries, what is its net revenue?

$ 90,000

$ 100,000

$ 150,000

$ 80,000

None of these

If 10 boys and 8 women can do a piece of work in 30 days, in how many days can the work be done by 12 boys and 7 women?

25 days

20 days

Data Inadequate

18 days

15 days

In one store, a radio tagged at $150 was discounted 12%. When it did not sell at the lower price, it was discounted an additional 9%. What was the final selling price?

$122.85

$125.35

$120.12

$128.72

$130.70

Suzy started a business with $11,000 and Lucy joined her after 5 months with $20,000. When Lucy joined, Suzy introduces $4,000 more. What percent of the annual profits should be given to Lucy?

45.2%

49.5%

38.7%

46.6%

52.3%

The salaries of Bill and Berry were in the ratio of 3 : 5 until their employer gave each one a hike of $100. Now their salaries are in the ratio 5:8. How much is Berry’s salary more than Bill now?

$ 500

$ 300

$ 600

$ 550

$ 475

There are 10 liters of a 60% sulphuric acid. How many liters of an 85% solution of the same acid must be added to obtain 70% solution of the acid?

20/3 liters

19/5 liters

15/4 liters

11/3 liters

17/3 liters

30(

80(

70(

60(

45(

In a 70 litre mixture, the ratio of water & milk is 3: 4. If 10 litre of water is added to the mixture, what will be the resulting ratio of milk & water?

1 : 2

1 : 1

3 : 2

2 : 1

4 : 7

The diagram below shows three square rooms that form the bottom floor of a house. If the area of the kitchen is 9 square feet, and the area of the drawing room is 49 square feet, what percent of the total floor space does the living room occupy (to the nearest whole number percent)?

42%

58%

79%

63%

89%

A milkman adds water to milk in the ratio 1: 3. A restaurant adds 100 ml of water to a liter of milk bought from the milkman. 440 ml of this mixture is then used to make ice cream. How much of pure milk is the restaurant left with?

450 ml

400 ml

475 ml

350 ml

375 ml

How many real numbers satisfy both the inequality 5x – 15 < 0 and the inequality 5 – 3x < 11?

1

2

3

0

Infinite Values

In a mixture there is 40 % wine, a person stole some quantity out of this vessel and replaced with water. As a result, the total mixture now has 30 % wine. What part of the total was stolen?

1/2nd

1/3rd

1/4th

1/5th

1/6th

The ratio of two numbers is 3 : 7. If 4 is added to the greater number and 4 is subtracted from the smaller number, the greater number becomes three times the smaller one. Find the numbers.

12, 28

18, 42

24, 56

21, 49

15, 35

The distance of the horizon from a place varies directly as cube root of the height of the place. From a place 216 m high, the distance of the horizon is 1080 m. To which height should one go in order that the distance of the horizon should be 1800 m?

900 m

850 m

975 m

1050 m

1000 m

There are two examination halls, A and B. If 20 students are sent from A to B, then the number of students in each room is the same. If 20 students are sent from B to A, then the number of students in A is thrice of that in B. The number of students in A and B respectively are

100, 80

100, 60

80, 40

140, 100

None of these

A business budgets 40 percent of its net revenue to pay salaries. If $ 60, 000 is budget for salaries, what is its net revenue?

$ 90,000

$ 100,000

$ 150,000

$ 80,000

None of these

If 10 boys and 8 women can do a piece of work in 30 days, in how many days can the work be done by 12 boys and 7 women?

25 days

20 days

Data Inadequate

18 days

15 days

In one store, a radio tagged at $150 was discounted 12%. When it did not sell at the lower price, it was discounted an additional 9%. What was the final selling price?

$122.85

$125.35

$120.12

$128.72

$130.70

Suzy started a business with $11,000 and Lucy joined her after 5 months with $20,000. When Lucy joined, Suzy introduces $4,000 more. What percent of the annual profits should be given to Lucy?

45.2%

49.5%

38.7%

46.6%

52.3%

The salaries of Bill and Berry were in the ratio of 3 : 5 until their employer gave each one a hike of $100. Now their salaries are in the ratio 5:8. How much is Berry’s salary more than Bill now?

$ 500

$ 300

$ 600

$ 550

$ 475

There are 10 liters of a 60% sulphuric acid. How many liters of an 85% solution of the same acid must be added to obtain 70% solution of the acid?

20/3 liters

19/5 liters

15/4 liters

11/3 liters

17/3 liters

This GRE math-preparation Optimizing paper. Primarily the questions are designed on Mixtures and alligation with few more questions from different topics.**Disclaimer:** Content, such as images used in the questions (if any), have been picked up from various places for the sole purpose of Instruction.

11000 for 5 months only suzy will get profit.

15000 (suzy's capital) 20000(Lucy's capital) means 15/20 or 3:4 for next 7 months by the investors

now if every month's profit is divided in 7 parts

then

suzy gets 7*5= 35 for 5 months

and 3*7=21= for 7 months

total of suzy = 21 35=56

total for lucy = 4*7=28

hence lucy's p… See more

4296 days 22 hours 30 minutes ago

lol spent 15 mins on this problem. I think its a typo

3151 days 20 hours 5 minutes ago

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