Multiple Choice QuestionsA certain number, when divided by 899, leaves the remainder 65. When the same number is divided by 31, the remainder is
3
4
1
2
A number x, when divided by 289 leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is
2
3
1
5
The fifth term of the sequence for which t1 = 1, t2 = 2 and tn+2 = tn + tn+1 is
5
10
6
8
D.
8
Given, t1 = 1, t2 = 2
tn+2 = tn + tn+1 ...(i)
Put n = 1 in eq. (i),
t1+2 = t1 + t1+1
t3 = 1 + 2 = 3 ...(ii)
Put n = 2 in eq. (i),
t2+2 = t2 + t2+1
t4 = t2 + t3
t4 = 2 + 3 = 5 (using (ii)) ...(iii)
Put n = 3 in eq. (i),
t3+2 = t3 + t3+1
t5 = t3 + t4 = 3 + 5 = 8 (using (iii))
∴ t5 = 8
If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y?
2
4
6
8
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