1,000+ TNPSC Previous Year Model Question Papers with Answers - 1

Ans: B

Let the required numbers be 33a and 33b.

Then, 33a + 33b = 528 ⇔ a + b = 16.

Now, co-primes with sum 16 are (1, 15), (3, 13), (5, 11) and (7,9).

∴ Required numbers are (33 × 1, 33 × 15), (33 × 3, 33 × 13),
(33 × 5, 33 × 11), (33 × 7, 33 × 9)

The number of such pairs is 4.

Ans: B

Required number = $${L.C.M x H.C.F.}/{Given number}$$ = $${693 × 11} / {77}$$ = 99.

Ans: A

LCM of 12, 18, 24, 32, 40 is 1440.

∴ Required number is 1440 - 1 = 1439.

Ans: B

1st number x 2nd number = GCD x LCM

∴ 2nd number = $${5 × 60} / {20}$$ = 15.

Ans: D

Let the numbers be 13x and 13y.

Then 13x × 13y = 2028 or xy = 12.

Co-primes with product 12 are (1, 12) and (3, 4).

So, the numbers with HCF 13 and product 2028

are (13 x 1, 13 x 12) and (13 x 3, 13 x 4)

∴ Required 2 digit numbers are 39 and 52.