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1. At 6'o a clock ticks 6 times.
The time between first and last ticks is 30 seconds.
How long does it tick at 12'o clock.
Ans: 66
sec.
(2 marks)
2. Three friends divided some bullets equally.
After all of them shot 4 bullets the total number of bullets remaining
is equal to the bullets each had after division.
Find the original number divided.
Ans:
18
(2 marks)
Initially .
x
x x
Now
x-4 x-4 x-4
Equation is 3x-12 = x
3. A ship went on a voyage.
After it had travelled 180 miles a plane statrted with 10 times the
speed of the ship.
Find the distance when they meet from starting point.
Ans:
200miles. (2
marks)
Distance travelled by plane = 1/10 distance
travelled by ship + 180
4. Complete the Table given below:
Three football teams are there. Given below is the group
table. Fill in the x's
|
Played |
Won |
Lost |
Draw |
Goals For |
Goals Against |
| A |
2 |
2 |
x |
x |
x |
1 |
| B |
2 |
x |
x |
1 |
2 |
4 |
| C |
2 |
x |
x |
x |
3 |
7 |
Ans: The filled table is given below
(4 marks)
|
Played |
Won |
Lost |
Draw |
Goals For |
Goals Against |
| A |
2 |
2 |
0 |
0 |
7 |
1 |
| B |
2 |
0 |
1 |
1 |
2 |
4 |
| C |
2 |
0 |
1 |
1 |
3 |
7 |
5. There are 3 societies A, B, C.
A lent cars to B and C as many as they had already.
After some time B gave as many tractors to A and C
as many as they have. After sometime c did the same thing. At the end of this
transaction each one of them had 24.
Find the cars each orginally had.
Ans: A had 39 cars, B had 21 cars & C had 12 cars
(4 marks)
6. There N stations on a railroad.
After adding X stations on the rail route 46 additional tickets have to
be printed.
Find N and X.
Ans. x=2 and N=11
Let initially, N(N-1) = t
After adding, (N+X)(N+X-1) = t+46
By trail and error method
(4 marks)
7. Given that April 1 is tuesday.
A, B, C are 3 persons told that their farewell party was on
- A - May 8, thursday
- B - May 10,tuesday
- C - June 5, friday
Out of A, B, C only one made a completetly true statement concerning date,day and month
The other told two one told the day right and the other the date right..
What is correct date, month, day.
Ans: B - (May 10) SUNDAY
C - June 6 (Friday).
(5 marks)
8. The Bulls, Pacers, Lakers and Jazz ran for a contest.
Anup, Sujit, John made the following statements regarding results.
- Anup said either Bulls or Jazz will definitely win
- Sujit said he is confident that Bulls will not win
- John said he is confident that neither Jazz nor Lakers will win
When the result cameit was found that only one of the above three had made a correct
statement.
Who has made the correct statement and who has won the contest.
Ans: Sujith; Lakers
(5marks )
9. Five people A ,B ,C ,D ,E are related to each other.
Four of them make one true statement each as follows.
(i) B is my father's brother.
(ii) E is my mother-in-law.
(iii)C is my son-in-law's brother
(iv)A is my brother's wife.
Ans: (i) D
(ii) B
(iii) E
(iv) C
(10 marks)
10. Some statements are given below:
- L says all of my other four friends have money
- M says that P said that exactly one among them has money
- N says that L said that precisely two among them have money
- O says that M said that three of the others have money
- P, L and N said that they have money
All the above statement are false..
Who has money & who doesn't have any money?
(5 marks)
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