CTET Solved Paper - UTET April 2015 Paper2
118. Three numbers are in the ratio of 3 : 4 : 5 and their LCM is 2400. Their HCF is
- Option : C
- Explanation : (C) Let the numbers be 3x, 4x and 5x.
Then, their LCM =60x
So, 60x = 2400 => x = 40
⇒ The numbers are (3 × 40), (4 × 40) and(5 × 40).
Hence, required HCF = 40
- A
Teaching of mathematics starts with well defined terms, axioms, theorems while teaching of science starts with evidence and explanations.
- B
Teaching of science involves only deductive process while teaching of mathematics involves a combination of both inductive and deductive processes
- C
Mathematics is a man-made inverse while Science is a natural one
- D
In teaching of science, the results are validated through experiments, in teaching of mathematics experimentations are the means of verify some of the probable results
- Option : A
- Explanation : (A) It is wrong to say that teaching of mathematics starts with well defined terms, axioms and theorems while teaching of science starts with evidence and explanations. Math starts with number and science starts with objects around us.
- Option : B
- Explanation : (B) Let the number be x.
⇒ x = 899q + 63 where q is the quotient.
⇒ x = 899q + 58 + 5
= 29(31q + 2) + 5
Hence, when x is divided by 29, the remainder is 5.
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