Directions: Read the following information to answer the question.
Solution :The required number will be the difference of the two given numbers or (a three digit) a factor of the difference 12156 – 10133 = 2023
2023 = 289 x 7
So The required three digit number = 289
Directions: Read the following information to answer the question.
Solution :L.C.M. of 5,6,7 = 210
=> Required number is of the form 210k + 3
Least value of k for which (210k + 3) is divisible by 9 is k = 2.
=>Required number = (210 X 2 + 3)= 423
Directions: Read the following information to answer the question.
Only a^b c is an odd natural number.
Directions: Read the following information to answer the question.
62^3 – (54^3 + 8^3)
62^3 – [(54 + 8) (54^2 + 8^2 – 54 x 8)]
=62 x 3 x 54 x 8
This is divisible both by 9 and 31
Directions: Read the following information to answer the question.
First find out how many 2`s and how many 3`s are available in 200! 200 when successively divided by 2 given 100, 50, 25, 12, 6, 3, 1, as the quotients and the sum of all these given the number of 2’s which is 197. 200 when successively divided by 3 gives 66 22,7,2as the quotion and the sum of all these gives the number of 3`s which is 97.
For 12100 ., we have (2 2 x 3 )100 i.e. 2200 x 3100 we need 200 two`s and 100three `s where as we have 197 two`s and 97 3`s so, we need another three 2`s I.e. we need to multiply 200! by 23 x 3 3 = 8 x 27 = 216.