SSC MTS Model Paper 6

Product of numbers = 11 × 385 = 4235
Let the numbers be 11a and 11b.
Then, 11a × 11b = 4235
⇒ ab = 35
Now, co-primes with product 35 are (1, 35) and (5, 7)
So, the numbers are (11 × 1, 11 × 35) and (11 × 5, 11 × 7)
Since one number lies between 75 and 125, the suitable pair is (55, 77)
Hence, required number = 77.