Real Numbers Te...

Euclid's division algorithm is a technique to compute the highest common factor of two given positive integers c and d , c > d following steps are to be followed : Apply Euclid's division lemma to c and d to get whole numbers q and r such that c = dq + r where

What is the greatest number that divides the numbers 38, 45 and 52 and leaves remainders 2, 3 and 4, respectively?

Bhumi is a teacher. She had to distribute books to her students. At first, she tried to distribute equally between two students, then among three, four, five and six students. But, every time, she was left with one book. When she finally tried to distribute equally among seven students, she succeeded. What would be the minimum number of books that she could have?

Some soldiers were practising for the republic day parade. Three soldiers started together to march along the Rajpath at the same rate. The lengths of their march were 68 cm, 51 cm and 85 cm, respectively. How far did they go before their steps were in the same line together (in meters)?

Rahul owns a garment shop. He sells t-shirts in his shop. He noticed that total number of t-shirts sold on Monday is the highest number, which divides 3838 and 5123 to leave remainders 3 and 13 respectively. Then find out total number of t-shirts sold on Monday.

Aryan and Vishal are friends. Aryan notices that his age is divisible by 14 and his friend notices that it is divisible by 3. What could be the lowest possible age of Aryan?

Three tube lights are connected in such a manner that they glow for every 60 seconds, 48 seconds and 72 seconds, respectively. All of them glow at once at 10 a.m. When will they again glow simultaneously?

Which of the following statement is/are correct?

(A) All natural numbers are whole numbers but all whole numbers are not natural numbers.
(B) Every integer, natural and whole number is a irrational number.
(C) All rational and all irrational numbers make the collection of real numbers.
(D) The product of two consecutive positive integers is divisible by 3.

Fill in the blanks.

(1) Every W represented by a numerical string of digits, possibly continuing forever. This is called the X representation of the number.

(2) The set of all Y and fractional numbers between them comprise the set of Z numbers.