Question
For what number of values of 'z' is the number 1269zq
divisible by 15?Solution
ATQ,
Divisible by 15 ⇒ divisible by 5 and 3
Divisible by 5 ⇒ q = 0 or 5
Divisible by 3 ⇒ sum divisible by 3
Case 1: q = 0
Sum = 1 + 2 + 6 + 9 + z + 0 = z + 18
Divisible by 3 ⇒ z = 0, 3, 6, 9
Case 2: q = 5
Sum = 1 + 2 + 6 + 9 + z + 5 = z + 23
Divisible by 3 ⇒ z = 1, 4, 7
Total values of z: 4 + 3 = 7
Which of the following makes C $ E or Y % E definitely true?
Statement:
R ≤ P >K ≤ L; W ≤ X = K > O; Q > L
Conclusion:
I) W < L
II) L = W
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Each of the vowel in the word REQUIRE is changed to the next letter in the English alphabetical series and each consonant is changed to the previous let...
Statement: C < P > T = E < R; G > R > A < D
Conclusions:
I. T < G
II. G ≥ P
III. T > A
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statements: M ≤ N; O < R; O = N; S ≥ Q; N > S
Conclusions:
(i) Q < M
(ii) N ≥ Q
(iii) M > R
...If the expressions G < L ≤ J > B, J ≤ A and G > H are true, which of the following conclusions will be definitely false?
Statements: V > P < L = O, R > N; Q > V > R
Conclusions:
I. R > L
II. Q > N
III. L > N
Statement:
Q < B ≥ M; M > T = V; S < J = K ≥ L; V > K
Conclusion:
I. B > S
II. B > L
III. M < J
