Home » Aptitude » Problems on H.C.F and L.C.M

What least number must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder 6?

Correct Answer: 1

Explanation:

L. C .M of 9, 11, 13 is 1287
On dividing 1294 by 1287, the remainder is 7 .
∴ 1 must be subtracted from 1294, so that 1293 when divided by 9, 11, 13 leaves in each case the same remainder 6 .

← Previous Question Next Question→

More Questions from Problems on H.C.F and L.C.M

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?
The greatest number by which if 1657 and 2037 are divided the remainders will be 6 and 5 respectively, is?
Six bell commence tolling together and toll at intervals of 5, 10, 15, 20, and 30 s, respectively. In 60 min, how many times do they toll together?
If the HCF of two positive integers is 26. Then their LCM cannot be?
If the HCF of m and n is 1, then what are the HCF of m + n, m and HCF of m - n, n, respectively (where, m > n)?
The LCM and HCF of two number are 240 and 16, respectively,If the two numbers are in the ratio 3 : 5, the numbers are?
What are the values of c when the HCF of x 3 + c x 2 - x + 2c and x 2 + cx - 2 over the rational is a linear polynomial?
What is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case?
What is the greatest number which divides 390, 480 and 620 so as to leave the same remainder in each case?
Consider the number between 300 and 400 which when divided by 12, 18 and 36 leaves 4 as remainder in each case. what is the sum of the number?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion