GRE Questions

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Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...
Then, the next term in the given sequence is  935 = 9243 = 127 .

Let distance = x km.
Time taken at 3 kmph : dist/speed = x/3 = 20 min late.
time taken at 4 kmph : x/4 = 30 min earlier
difference between time taken : 30-(-20) = 50 mins = 50/60 hours.
x/3- x/4 = 50/60
x/12 = 5/6
x = 10 km.

From the given information, the sitting arrangement can be

 P-Q-W-S-U-V-T-R  i.e. in circular as

From the above figure it is clear that opposite to U is P.

This is a quadratic equation. To find n we multiply the last terms in each bracket together (2 times -5) = -10

To find ‘a’ we multiply the first terms in each bracket together (3x times 2x) = 6x2, So a = 6.

Thus a - n = 16

To find k we multiply the first term in the first bracket by the second term in the second bracket and add the result to the product of the second term in the first bracket and the first term in the second. (-15x + 4x) = -11x. So k = -11

16 - 11 = 5

Here Thread and String are Synonyms of each other. Then the answer will be the synonym of Cask. 

• Cask is nothing but a large barrel-like container used for storing liquids, typically alcoholic drinks. 

Ex : Drum, Vessel, Tank, Barrel, Hogshead, Firkin,...

• Here from the options Barrel is the only synonym of Cask.

Thus,  Thread : String :: Cask : Barrel

No. of people who read Hindu = 285
No. of people who read TOI = 127
No. of people who read IE = 212
Now,
No. of people who read Hindu and TOI both is = 20
No. of people who read TOI and IE both is = 35
No. of people who read Hindu and IE both is = 29
Let No. of people who read Hindu , TOI and IE all is = x ;
So, only Hindu is = 285-20-29-x = 236-x ;
Only TOI is = 127-20-35-x = 72-x ;
Only IE is = 212-35-29-x = 148-x ;
Now, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500
So, x = 45 this is the value who read all the 3 dailies.
So, No. of people who read only one paper is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321.

12 S of Z represents 12 Signs of the Zodiac. 

It is similar to the  

1. 52 W in a Y        -  52 weeks in a year  

2. 3 H in a C          -  3 Hands in a Clock  

3. 3600 S in an H   -  3600 Seconds in an Hour 

4. 5 O in the W      -   5 Oceans in the World