Question
Akhilesh has a collection of toys, and he tries
arranging them in different group sizes. Whenever he groups them in pairs (2s), triplets (3s), sets of four (4s), bundles of five (5s), or groups of six (6s), he always has one toy left over. However, when he arranges them in groups of seven (7s), there are no toys left ungrouped. What is the smallest number of toys Akhilesh could possibly have?Solution
L.C.M of (2, 3, 4, 5, 6) = 60
So according to the first condition total number of toys with Akhil = 60p + 1
Now according to the second condition, total number of toys = 7q
Since number of toys is same hence, 60p + 1 = 7q
When p = 5 then q = 43
Therefore minimum number of toys = 60 X 5 + 1 = 301
Answer the questions based on the information given below.
A & B means A is greater than B
A * B means A is not greater than B
A ...
Statements: M % N, N & A, A @ B, B # C
Conclusions: I. C & AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M # B
...Statements: R > S > T ≥ U; Q ≥ R; W = V < U
Conclusions:
I. S > Q
II. W < T
III. Q > W
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements:
N < P ≤ I = O; P ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: M $ K; K & N, N % R, R @ W
Conclusions:Â Â Â Â Â
I. W & KÂ Â Â Â Â Â Â Â
II. K & WÂ Â Â Â Â Â Â Â Â Â Â Â ...
Statements: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
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: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > LÂ Â Â II. V < I