Required length = H.C.F of 700, 385, 1295 cm

Correct Option: C

Required length = H.C.F of 700, 385, 1295 cm
= 35 cm.

Let the number be 27a and 27b
Then, 27a + 27b = 216
or a + b = 216/27 = 8
∴ Values of co-primes with sum 8 are (1, 7) and (3, 5)
So, the number are (27 x 1 , 27 x 7) i.e. (27, 189)

Correct Option: C

Let the number be 27a and 27b
Then, 27a + 27b = 216
or a + b = 216/27 = 8
∴ Values of co-primes with sum 8 are (1, 7) and (3, 5)
So, the number are (27 x 1 , 27 x 7) i.e. (27, 189)

Let the number be 12a and 12b
Then 12a x 12b = 2160
or ab = 15
∴ Values of co-primes a and b are (1, 15), (3, 5)
So, the two digit number are 12 x 3 and 12 x 5 i.e. 36 and 60 .

Correct Option: B

Let the number be 12a and 12b
Then 12a x 12b = 2160
or ab = 15
∴ Values of co-primes a and b are (1, 15), (3, 5)
So, the two digit number are 12 x 3 and 12 x 5 i.e. 36 and 60 .

Product of two numbers = LCM of two numbers x HCF of two numbers.
⇒ N x 32 = 160 x 16
∴ N = 80

Correct Option: B

Product of two numbers = LCM of two numbers x HCF of two numbers.
⇒ N x 32 = 160 x 16
∴ N = 80

Product of two numbers = LCM of two numbers x HCF of two numbers.

Correct Option: A

Product of two numbers = LCM of two numbers x HCF of two numbers.
⇒ 1600 = LCM x 5
∴ LCM = 320