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1. Three persons A, B and C start traveling from city P at 1:00 a.m., 2:00 a.m.
and 3:00 a.m. respectively. All the three reach the point Q simultaneously and
continue beyond that point. C reaches the point R first and turns back
immediately towards P. Thirty minutes after turning back, he crosses A.
If the distance between P and Q is equal to the distance between Q and R, then
the time at which all the three reach Q is
2. Ram's age when Shyam was as old as Ram is one-third of the Shyam's present
age. When Ram will be as old as Shyam is, Shyam will be 10 years older than Ram
will be. Find Shyam's present age (in years).
3. N is a three digit number. 2N equals the sum of the following 4 quantities -
the sum of the digits of N, the two digit number formed by the first two digits
of N, the two digit number formed by the last two digits of N and 961. The
hundreds digit of N is 3 more than its tens digit. Find its tens digit.
4. The sum of a two-digit number and the reversed number is 99. How many such
numbers are possible?
5. A went on a tour. He visited a total of 8 cities. In each city he spent Rs.2
less than half the amount he had with him. He spent Rs.100 in the last city he
visited. Find the amount he had initially (in Rs.)
6. Ashok's age x years ago was twice his sons age at that time. His age 5x
years ago was thrice his sons age at that time. The difference of the present
ages of both is 24 years. Find the sum of their present ages. (in years)
7. Two trains enter a tunnel from opposite ends simultaneously. The speeds of
the trains are 54 kmph and 72 kmph. After 30 seconds, the trains completely
cross each other. After 20 more seconds, the slower train is just out of the
tunnel.
What is the length of the faster train?
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