Question
In a certain code language, ‘TUMBLER’ is written as
‘22 – 23 – 15 – 4 – 14 – 7 – 20’. How will ‘SCIENCE’ be written in that code language?Solution
Place value of all the letters + 2 is written as per English alphabetical series. T         U        M        B        L         E        R        20       21       13       2         12       5         18 Add 2 in all the letters, then the code for ‘TUMBLER’ will be 22 – 23 – 15 – 4 – 14 – 7 – 20. Similarly, S        C        I          E        N        C        E 19       3         9         5         14       3         5 Add 2 in all the letters, then the code for ‘SCIENCE’ will be 21 – 5 – 11 – 7 – 16 – 5 – 7.
The H.C.F. of two numbers is 16 and the other two factors of their L.C.M. are 4 and 13. The larger of the two numbers is:
- If the product of two numbers is 144 and their HCF is 6, then find the LCM of the given two numbers.
The product of two numbers is 5760 and their GCD is 48. What is the LCM?
Find the HCF of two numbers if LCM and product of those two numbers are 45 and 630 respectively.
- Find the HCF of 84 and 630.
- The product of two numbers is 4620 and their L.C.M is 210. What is the H.C.F of the two numbers?
Determine the LCM of (8/35) and (24/5).
Sum of the two numbers is 40 and their HCF and LCM are 8 and 48, respectively. Find the sum of reciprocal of the given two numbers.
Determine the difference between the LCM and HCF of 18, 24, and 36.