At a speed of 10 Km/hour, Mr. Ghosh reaches at 01:00 pm. At 15 Km/hour, he reached at 11 am. At what speed should he travel to reach the destination at noon?
A truck has 42 wheels and 8 spare wheels. The truck travels 20,000 km. If each of the 50 wheels covers the same distance, what is the distance traveled by each wheel?
A cube is taken and painted on all its sides. Now it is cut parallel to its base into two equal cuboids. Find the percentage of area that remains unpainted.
Number of zeroes at the end of 100!
Angle of inclination of the Sun increases from 30° to 60°. The shadow length decreases by 60 m. What is the height of the tower?
How many numbers less than 100 are not divisible by 2, 3, or 5?
10 men can finish the work in 15 days. After 3 days, 2 more men joined. How many days will it take to finish the work?
There are x, 50 paise coins and y one rupee coins. Had there been x one rupee coins and y 50 paise coins, the amount would have been 30% more. Which of the following is a possible value of y?
Four stacks containing an equal number of chips are to be made from 11 orange, 9 white, 13 black, and 7 yellow chips. If all of these chips are used and each stack contains at least one chip of each colour, what is the maximum number of white chips in any one stack?
Three identical cones with base radius r are placed on their bases so that each is touching the other two. What is the radius of the circle drawn through their vertices?
1 out of 2
Let S = {20, 4, 10, 4, 8, 4, x}. If the mean, median, and mode of these numbers are arranged in increasing order and form an arithmetic progression, what is the sum of all possible values of x?
85 children went to an amusement park. The rides included a giant wheel, roller-coaster, and toy train. 20 of them took all three rides, and 55 of them took at least two of the three rides. Each ride costs Rs.10, and the total receipt from the children is Rs.1450. How many children tried exactly one ride?
Consider five points comprising the vertices of a square and the intersection point of its diagonals. How many triangles can be formed by using these points?
In a colored picture of blue and yellow color, blue and yellow are used in the ratio of 4:3 respectively. In the upper half, the ratio of blue to yellow is 2:3. What is the ratio of blue to yellow in the lower half?
The area of a regular polygon of side x units is 10x square units, and the length of its in-radius is an integer. How many such polygons would there be?
What is the remainder when 9999 is divided by 100?
How many five-digit numbers can be formed using the digits 0, 1, 2, 3, 4, and 5 without repetition, such that the number is divisible by 3?
In how many ways can 7 different books be arranged on a shelf if two particular books must always be next to each other?
Two dice are thrown simultaneously. What is the probability that the sum of the two dice will be 8 or more?
How many integers between 1 and 1000 are divisible by 3 or 5 but not both?
2 out of 2
