CALENDER PROBLEMS

1. My wife and I went out for a dinner on April 10 which was a Sunday.
   I promised to take her out after about 3 months but only on Sunday. On which of the following dates could I take
   her out?
  
a. 10th july.
b. 19th july.
c. 21st july.
d. 30th july.
2. I met one of my school friends in America on 16th August 1997 which was a Saturday and promised to meet him again
   in in the month of December 1999 - but only on a Sunday. On which of the following dates could I meet my friend?
a. 24th December, 99
b. 26th December, 99
c. 27th December, 99
d. 28th December, 99
3. The angle between the two hands of a clock is 100 degrees, when the hours hand is between 4 and 5.
   What time does the watch show?
a. 4hrs. 30min.
b. 4hrs. 40min.
c. 4hrs. 45min.
d. 4hrs. 16min.
4. A watch, which gains uniformly, was observed to be 5 minutes slow at 12 noon on a Sunday. On the subsequent
   Wendnesday at 6 p.m it was noticed that the watch was 5 minutes fast. When did the watch show the correct time?
  
a. On Monday at 12 noon           
b. On Monday at 3 a.m
c. On Tuesday at 3 a.m
d. On Tuesday at clock midnight
5. 896 : 773 :: 548 : ______
a. 355
b. 425
c. 455
d. 478
6. 56 : 121 :: 93 : ______
a. 36
b. 72
c. 125
d. 144
7. The average marks of a class is 70%. If 6 students who failed with average of 30% are excluded, the average
   marks becomes 78%. Find the total strength of the class.
a. 40
b. 38
c. 36
d. 42
     
8. In what ratio should the sugar at Rs. 5 per kg be mixed with sugar at Rs 6.75 per kg such that a mixture worth Rs 5.50
   per kg is obtained?
  
a. 2:5
b. 5:2
c. 3:7
d. 7:3
9. The average wickets per test match of a bowler was 5. If 3 matches where he took no wickets are excluded and
   he takes 12 wickets per match in a five match series, his average increases to 6 wickets per match. How many
   matches did he play before the latest series?
  
a. 50
b. 48
c. 52
d. 46  
  
10. The ratio of milk and water in three vessels is respectively is 3:2, 8:7, 7:3. If milk and water mixtures from
    these three vessels are mixed in the ratio 2:3:1, what is the ratio of milk and water in the resulting mixture?

a. 7:5
b. 6:7
c. 7:6
d. 5:7
11. A system contains a mixture of milk and water with 90% of milk. From this, 10% of solution is removed and the same
    quantity  of water is added. This procedure is followed again. What is the percentage of milk in the solution?

a. 79.2%
b. 72%
c. 71.9%
d. 72.9%
12. Three taps can fill a cistern in 12, 18 and 24 minutes. Three minutes after the first tap was opened, the second tap
    was also opened. After 3 more minutes, the third tap was opened and the first two taps were shut. In how much more time
 would the cistern have been filled?

a. 9 minutes
b. 7 minutes
c. 8 minutes
d. none
13. A certain number of people can complete a work in 12 days working 5 hours a day. If the number of men are decreased
    by half the number of days taken increases to 15 days. How many hours a day would they have worked to achieve the above?

a. 8 hours
b. 9 hours
c. 10 hours
d. 7 hours
14. A and B can complete a work individually in 12 and 24 days respectively. If after A worked for 6 days, B joined him,
    and they then completed the work. How much should A as his share take from the total amount of Rs. 180 paid for the work?
a. Rs. 140
b. Rs. 150
c. Rs. 160
d. Rs. 145
15. If 6 bells toll at intervals of 3,4,5,6,7 and 8 seconds respectively. Find when will they toll together again given that
    these bells toll together at 11.15A.M?

a. 11.27A.M
b. 11.29A.M
c. 11.28A.M
d. 11.30A.M
16. Find the largest two digit number which leaves respective remainders of 3 and 5 when it divides 2943 and 4835?
a. 80
b. 75
c. 65
d. 70
Directions for questions 17 to 20: Each question  has a main statement followed by four statements labelled A, B, C and D.
Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically
consistent with the main statement.
17. Either the nexalites are crazy or the police have gone berserk.
 I) The police have gone berserk.  II) The nexalites are not crazy.
 III) The police have not gone berserk.  IV) The nexalites are crazy.

a. I IV and III II
b. IV III and II I
c. I II and III IV
d. III IV and II I
18. Either the elephant is not big or the lion is cruel.
 I) The elephant is big.  II) The elephant is not big.
 III) The lion is cruel.  IV) The lion is not cruel.

a. I III
b. III I
c. III II
d. I IV
19. Either the program has a bug or the computer has a virus.
 I) The program does not have a bug.  II) The computer has a virus.
 III) The program does not have a virus. IV) The program has a bug.

a. III I alone
b. III IV alone
c. IV III or II I
d. III IV or I II
  
20. Unless you catch the thief, the robberies will not stop.

 I) The thief has been caught.  II) The robberies have stopped.
  III) The thief has not been caught. IV) The robberies have not stopped.

a. III IV
b. I II
c. II III
d. IV I

1 A
2 B
3 B
4 C 
5 B
6 D
7 C 
8 B 
9 B 
10 A 
11 D 
12 C 
13 A 
14 B 
15 B
16 D
17 D
18 A
19 D 
20 A