Mini Mock Set - 52 | Maths & Reasoning

@ means either the hour or minute hand of the clock is at 2
# means either the hour or minute hand of the clock is at 1
& means either the hour or minute hand of the clock is at 4
* means either the hour or minute hand of the clock is at 8
% means either the hour or minute hand of the clock is at 6
+ means either the hour or minute hand of the clock is at 10
$ means either the hour or minute hand of the clock is at 7
~ means either the hour or minute hand of the clock is at 11
! means either the hour or minute hand of the clock is at 3
Note: If two symbols are given, then by default the first symbol is considered as hour hand and second symbol is considered as minutes hand.
For example: #$ AM means 1:35 AM.
1) The first lecture of the school starts at +% AM. After every lecture of 30 minutes, there is a recess of 10 minutes and after every 3 lectures there is a lunch break of 30 minutes. lf there is any lunch break after lecture there is no recess break. If school conducts 7 lectures, then at what time will the last lecture end?
a) %* PM b) !% AM c) !* PM d) $& AM e) !* AM

2) If the train leaves Lucknow station at *% AM and reaches Indore station after the journey of 7 hours 20 minutes. It takes halt of 40 minutes in Indore and returns back to lucknow by taking another 7 hours 20 minutes Find the time at which train will return to Lucknow.
a) ~+ PM b) ~+ AM c) @% AM d) !& PM e) None of these

Sixteen employees A, B, C, D, E, F, G, H, l, J, K, L, M, N, O and P not necessarily in the same order of a company live in an eight-storey building where the lowest floor is numbered 1 and the topmost is number 8. There is one flat on each floor and is shared by two employees. All of them must go on official visits in the months of August, September, October and November. Official visits are on dates 4th, 9th, 17th, or 24th of the above-mentioned months. Only one person goes on one date. H lives on an even numbered floor above floor-6. No persons, living in the same flat, go on official visit in the same month. P’s flatmate is the first to go on the official visit. Four people go on visit between C’s flatmate and E’s flatmate and same is the case with C and E. F lives on an odd numbered floor but go on visit on an even numbered date. Three people go on visit before M and three people visit after G. E visits in the month with odd number of days and on an odd date but not on a prime number date. G and his flatmate, who is not J, go on official visit on the same dates. O lives on odd numbered floor but not 5th and not with F. E and M do not go on a visit in the same month but their flatmates do. C’s flatmate does not visit in October. One person goes on a visit between A and C’s flatmate. L visits on 17th September. H and N live on the same floor and two people go on a visit between them. Neither H nor N visit in September. I cannot visit on a date which is a square of a date. L and his flatmate visit on the same date but not in October. K and I live in the same flat but not on even numbered floor, neither of them visits in November or on 4th. A lives on the lowest floor and there is gap of one floor between A and L. F lives immediately above J and immediately below N. B lives in 2nd floor. C is not a flatmate of G, F, J or B. M is not a flatmate of J and F. A does not visit in October.