GRE Questions

Q:

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ?

A) 7 : 12 B) 8 : 13
C) 9 : 4 D) 2 : 5
 
Answer & Explanation Answer: B) 8 : 13

Explanation:

To get the solution that contains 1 part of milk and two parts of water,
they must be mixed in the ratio as
7x+6x/5y+11y = 1/2
26x = 16y
x/y = 16/26
x/y = 8/13

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Filed Under: Ratios and Proportions
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19 12177
Q:

One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ?

A) Rs.1,92,000 B) Rs.2,24,000
C) Rs.1,26,000 D) Rs.3,42,000
 
Answer & Explanation Answer: B) Rs.2,24,000

Explanation:

One-quarter of one-seventh = 1/4 x 1/7
= 1/28
Now, 1/28 of a land costs = Rs. 30,000
Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15
= Rs. 2,24,000.

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Filed Under: Percentage
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15 12170
Q:

If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ?

A) 1 B) 2
C) 4 D) 8
 
Answer & Explanation Answer: B) 2

Explanation:

Given a2 + b2 = c2

 

Now  1logc+ab  + 1logc-ab 

 

logbc+a + logbc-a

 

logbc2-a2

2logbb = 2

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Filed Under: Logarithms
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32 12159
Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24% B) 29%
C) 34% D) 25%
 
Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.

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Filed Under: Percentage
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12 12134
Q:

What comes once in a year, twice in a week and never in a day?

A) Sunday B) New moon day
C) E D) All of the above
 
Answer & Explanation Answer: C) E

Explanation:

YEAR - 1 E

WEEK - 2 E

DAY - 0 E

 

Hence, the letter 'E', comes once in a year, twice in a week and never in a day.

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Filed Under: Logic Puzzles
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9 12133
Q:

Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?

A) 10 B) 8
C) 6 D) 4
 
Answer & Explanation Answer: B) 8

Explanation:

Amy can travel clockwise or anticlockwise on the diagram.

Clockwise, she has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes.

Similarly, anticlockwise she has four different routes.

Total routes = 8

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Filed Under: Time and Distance
Exam Prep: GRE

31 12087
Q:

Should government jobs in rural areas have more incentives

Arguments:

1. Yes. Incentives are essential for attracting government servants there

2. No. Rural areas are already cheaper,healthier and less complex than big cities .So,why offer extra incentives!

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 or 2 is true
 
Answer & Explanation Answer: A) Only 1 is true

Explanation:

Government jobs in rural are underlined with several difficulties in love of these .In lieu of these ,extra incentives are needed

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Filed Under: Statement and Arguments
Exam Prep: GRE

5 12049
Q:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A) 1 : 2 : 3 B) 2 : 3 : 4
C) 3: 4 : 5 D) 4 : 5 : 6
 
Answer & Explanation Answer: B) 2 : 3 : 4

Explanation:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8.

Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x.

There is a proposal to increase these seats by 40%, 50% and 75% respectively.

Then Seats for Mathematics, Physics and Biology in a school will be

1.4 X 5x, 1.5 X 7x and 1.75 X 8x and

ratio will be 7 : 10.5 : 14  => 2:3:4.

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Filed Under: Ratios and Proportions
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21 11879