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Real Numbers

The numbers 525 and 3000 are both divisible only by 3, 5, 15, 25 and 75. What is HCF (525, 3000)? Justify your answer.

07/11/2024

Mathematics

10th

Real Numbers

A positive integer is of the form 3q + 1, q being a natural number. Can you write its square in any form other than 3m + 1, i.e., 3m or 3m + 2 for some integer m? Justify your answer.

07/11/2024

Mathematics

10th

Real Numbers

Write whether the square of any positive integer can be of the form 3m + 2, where m is a natural number. Justify your answer.

07/11/2024

Mathematics

10th

Real Numbers

“The product of three consecutive positive integers is divisible by 6”. Is this statement true or false”? Justify your answer.

07/11/2024

Mathematics

10th

Real Numbers

“The product of two consecutive positive integers is divisible by 2”. Is this statement true or false? Give reasons.

07/11/2024

Mathematics

10th

Real Numbers

Write whether every positive integer can be of the form 4q + 2, where q is an integer. Justify your answer.

07/11/2024

Mathematics

10th

Real Numbers

  Can  the  number  6n,  n  being  a  natural  number,  end  with  the digit 5? Give reasons.

07/11/2024

Mathematics

10th

Real Numbers

The  values  of  the  remainder  r,  when  a  positive  integer  a  is divided by 3 are 0 and 1 only. Justify your answer.

07/11/2024

Mathematics

10th

Real Numbers

 The decimal expansion of the rational number 14587/1250 will terminate after:
(A) one decimal place (B) two decimal places
(C) three decimal places (D) four decimal places

07/11/2024

Mathematics

10th

Real Numbers

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
(A) 10 (B) 100 (C) 504 (D) 2520

07/11/2024

Mathematics

10th