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While writing all the numbers from 700 to 1000, how many numbers occur in which the first digit is greater than the second digit, and the second digit is greater than the third digit?

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Important Questions on General Mental Ability (Quantitative Aptitude /Reasoning)

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Four-digit numbers are to be formed using the digits 1, 2, 3 and 4 and none of these four digits are repeated in any number. Further 

1. 2 and 3 are not immediately follow each other.
2. 1 is not to be immediately followed by 3.
3. 4 is not to appear at the last place.
4. 1 is not to appear at the first place.  

How many different numbers can be formed?

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In how many different ways can 7 identical coins be placed on a chessboard (containing 64 identical squares) so that all of them lie along the same line (Each of the 7 coins is to be placed in a different square)?
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A coin is tossed 5 times. What is the probability that Head (H) appears an odd number of times?
EASY
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A freight train left Delhi for Mumbai at an average speed of 40 km/h. Two hours late, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/h. How far from Delhi would the express train meet the freight train?
HARD
Defence
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There are three tables containing two drawers each. One of the tables contains a gold coin in each of its drawers, another table contains a silver coin in each of its drawers while the third table contains a gold coin in one drawer and a silver coin in the other. One of the drawers of a table is opened and found to contain a silver coin. What is the probability that its other drawer contains a gold coin?
MEDIUM
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Out of the total of 120 musicians, 5% can play all the three instruments - guitar, violin and tabla. 30 musicians among them can play any two and only two of the above instruments. The number of musicians who can play guitar alone is 40. What is the number of musicians who can play violin alone or table alone?
MEDIUM
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What is the number of integers greater than 7000 that can be formed with the digits 3, 5, 7, 8 and 9, no digit being repeated?
MEDIUM
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Six X's have to be placed in the squares of the figure given below such that each horizontal row contains at least one X. How many maximum different ways can this be done?
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