What will be the value if 1!+2!+3!+4!+.......+100! is divisible by6?
How many pairs of integers (a, b) are possible such that a2 – b2 = 48?
One card is drawn from a pack of 52 cards then what is is the probability of getting a face card is?
There are 1224 students in a school in which 600 are girls. What is the ratio of boys to girls in the school?
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
The difference in ages of A and B is 15 years . If the ratio of their ages 5 years ago was 7:4, find the difference of their present ages.
In an examination, 34% of students failed in Section I and 41% of students failed in Section II while 22% failed in both the sections. 329 students had passed in both the sections. What is the total number of students who appeared to write the examination?
A train travelling at 54 kmph takes 45 seconds to cross another train travelling in opposite direction. However, if they travel in the same direction, the first train requires 117 seconds to overtake it. when travelling in the same direction. If the length of the second train is 500 meters, find the length of the first train
An electronic device is designed such that it gives a sequential output when an input is given. The following is such an example:
Input: 37 08 94 23 49
Step I: 94 37 08 23 49
Step II: 94 49 37 08 23
Step III: 94 49 37 23 08
(For the given input, Step III is the last step)
Which of the following will be Step III for the given input?
Input: 07 32 54 77 29
A rectangular park, of area 60 sq.km has two different people strolling around it. The first person decides to cover two sides of the park, and while returning, return directly to the starting point, through the diagonal, instead of covering the other two sides. The other person decides to take a shorter route despite being 30% faster than the first person. He just goes to and fro in the diagonal once, and finishes his walk faster than the first person, by x hours. One side of the park is 5 km. What is the value of x, if the first person took 6 hours to complete walking?