Question
The HCF and LCM of 2 numbers are 2 and 60 respectively.
If one of the numbers is 14 more than the other, find the smaller number.Solution
Let the first number be 'a' and second number be 'b'. LCM × HCF = a x b  60 x 2 = (b + 14) x b 120= b² + 14b  b² +14b-120 = 0 (b-6) (b+20) = 0 b = 6. The second number is 6.
Determine the sum of the first 16 odd numbers.
For which range of 'p' does the expression 19p - 2p²- 35 have a positive value??
The remainder obtained when (47³ + 35³) is divided by 41 isÂ
16Â Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â 1.5Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â Â Â Â Â 1.875
...The sum of the digits of a two-digit number is 9, and when the digits are reversed, the number decreases by 45. Find the changed number.
Find the unit digit of (76101 - 6).
Find the sum of all natural numbers less than 1,000 that are divisible by both 3 and 5 but not by 7.
How many times I write digit ‘1’ in first hundred natural numbers?Â
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