An Indian media house made a detailed report on all the candidates of a particular party participating in the General election 2019. The whole report was of 1500 page and was sent to be published into a book when the editor realized that there were no page number. He asks the typist to edit the page number on each page. How many times does the typist press the numeric keys on a normal keyboard to complete the task assigned to him?
A government school decided to distribute chocolates on the occasion of children’s day. The number of chocolates ordered were the perfect cube of a number and were sufficient enough to be distributed among all the students, teachers and staff of the school equally who were amounting to be 968 in number. How many chocolates were ordered ?
A famous cab service company, Suber, decided to send all their vehicles for election duty. Half of the vehicles were sent to North and West India (Region 1) while the remaining half were sent to East and South India (Region 2). After sending equal vehicles to both the regions, the owner noticed that he had one vehicle left in the parking lot. The Vehicles sent in the region 2 were further allotted 7 different states to cover. After all the vehicles in the region 2 went to their allotted states, it was found that 4 vehicles were left in the parking. The vehicles sent to states were then asked to cover 3 regions to cover the whole state. When the vehicles sent to each of the 7 states proceeded to cover the 3 different regions, none of the vehicles were left. How many vehicles were allotted to the Region 1, that is, North and West India?
The number of ways in which the number 72000 can be expressed as the product of two numbers whose highest common factor is 1 are-
We have a set of numbers, X = {2/729, 2/243, 2/81, 2/27 ….. 34992}. There is one subset of X, named Y, and the elements of the Y are such that the product of no two elements is 96. What is the maximum possible number of elements in Y?
We have a number in our office, N, whose value is 0.abcdabcdabcd…, he is a recurring decimal. We want to make it like ourselves, an integer. We have all the numbers in the universe in our friend circle. Whom should we introduce N to so that he can multiply with it and become an integer like us?
Three distinct number, a,b and c are such that they are odd and positive. There are some properties regarding them that we came to know. They are: -
(i) a3b2c is an odd term.
(ii) (a-b)2c3 is even.
(iii) (a+b+c)2(a-b) is even.
This is something new to us. Which of the following of the above three statements are true ?
