Class II

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
  1. 1677
  2. 1683
  3. 2523
  4. 3363
If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
  1. 55 601
  2. . 601 55
  3. 11 120
  4. 120 11
What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
  1. 196
  2. 630
  3. 1260
  4. 2520
252 can be expressed as a product of primes as:
  1. 2 x 2 x 3 x 3 x 7
  2. 2 x 2 x 2 x 3 x 7
  3. 3 x 3 x 3 x 3 x 7
  4. .2 x 3 x 3 x 3 x 7
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
  1. 123
  2. 127
  3. 235
  4. 305
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