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1. Father's age is three years more than three times the son's
age.
After three years, father's age will be ten years
more than twice the son's age.
What is the father's
present age.
Ans: 33 years. (2 marks)
2. Find the values of each of the alphabets.
N O O N
S O O N
+ M O
O N
----------
J U N
E
Ans: 9326 (2 marks)
3. There are 20 poles with a constant distance between each
pole
A car takes 24 second to reach the 12th
pole.
How much will it take to reach the last
pole.
Ans: 41.45
seconds
(2 marks)
Let the distance between
two poles = x
Hence
11x:24::19x:?
4. A car is travelling at a uniform
speed.
The driver sees a milestone showing a 2-digit
number.
After travelling for an hour the driver
sees another milestone with the same digits in reverse
order.
After another hour the driver sees another
milestone containing the same two digits.
What is
the average speed of the driver.
Ans: 45 kmph
(4 marks)
5. The minute and the hour hand of a watch meet every 65
minutes.
How much does the watch lose or gain time and by
how much?
Ans: Gains; 5/11 minutes (4 marks)
6. Ram, Shyam and Gumnaam are friends.
Ram is a
widower and lives alone and his sister takes care of him.
Shyam is a bachelor and his neice cooks his food and looks after his
house.
Gumnaam is married to Gita and lives in large house
in the same town.
Gita gives the idea that all of them
could stay together in the house and share monthly expenses
equally.
During their first month of living together, each
person contributed Rs.25.
At the end of the month, it was
found that Rs 92 was the expense so the remaining amount was distributed equally
among everyone.
The distribution
was such that everyone recieved a whole number of Rupees.
How much did each person recieve?
Ans. Rs 2
(4 marks)
(Hint: Ram's sister,
Shyam's neice and Gumnaam's wife are the same person)
7. Four persons A, B, C and D are playing cards.
Each person has one card, laid down on the
table below him, which has two different colours on either
side.
The colours visible on the table are Red, Green, Red
and Blue.
They see the color on the reverse side and give
the following comment.
A: Yellow or Green
B: Neither Blue nor
Green
C: Blue or Yellow
D: Blue or
Yellow
Given that out of the 4 people 2 always lie find out the colours on the cards each person.
Section B
1. From a vessel, 1/3rd of the liquid evaporates on the first
day.
On the second day 3/4th of the remaining liquid
evaporates.
What fraction of the volume is present at the
end of the second day.
Ans: 50%
2. An orange glass has orange juice and white glass has apple juice both of
equal volumes.
50ml of the orange juice is taken and
poured into the apple juice.
50ml from the white glass is
poured into the orange glass.
Of the two quantities, the
amount of apple juice in the orange glass and the amount of orange juice in the
white glass, which one is greater and by how much?
Ans: The two quantities are equal
3. There is a 4 inch cube painted on all sides.
This is
cut down into of 1 inch cubes.
What is the no of cubes
which have no pointed sides.
Ans:
8
4. Sam and Mala have a conversation.
All the statements by the two are false.
How old are they really?
Ans: Mala = 38
yrs
Sam = 41 yrs.
5. Ram Singh goes to his office in the city, every day from his suburban
house.
His driver Gangaram drops him at the railway
station in the morning and picks him up in the evening.
Every evening Ram Singh reaches the station at 5 O' Clock.
Gangaram also reaches at the same time.
One day Ram Singh
started early from his office and came to the station at 4 O'
Clock.
Not wanting to wait for the car he starts walking
home. Mangaram starts at normal time, picks him up on the
way
and takes him back house, half an hour early.
How
much time did Ram Singh walk?
6. In a railway station, there are two trains going.
One in
the harbour line and one in the main line, each having a frequency of 10
minutes.
The main line service starts at 5 o'clock and the
harbour line starts at 5.02A.M.
A man goes to the station every
day to catch the first train that comes.
What is the
probability of the man catching the first train?
Ans: 0.8
7. A family X went for a vacation.
Unfortunately it
rained for 13 days when they were there.
But whenever it
rained in the mornings, they had clear afternoons and vice
versa.
In all they enjoyed 11 mornings and 12 afternoons.
How many days did they stay there totally?
Ans: 18
8. A survey was taken among 100 people to find their preference of watching
T.V. programmes.
There are 3 channels. Given the no of
people who watch
Find the no of people who watched all three.
9. Albert and Fernandes have two leg swimming
race.
Both start from opposite ends of the
pool.
On the first leg, the boys pass each
other at 18 m from the deep end of the pool.
During the second leg they pass at 10 m from the shallow end of the pool.
Both go at constant speed but one of them is
faster.
Each boy rests for 4 seconds at the
end of the first leg.
What is the length of the
pool?
10. Each alphabet stands for one digit in the following multiplication.
T H I S
x I S
---------
X F X X
X X U X
------------
X X N X X
------------
What is the maximum value T can take?
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