23:57
Jegadeesan
1.If 2x-y=4 then 6x-3y=?
(a)15
(b)12
(c)18
(d)10
Ans. (b)
2.If x=y=2z and xyz=256 then what is the value of x?
(a)12
(b)8
(c)16
(d)6
Ans. (b)
3. (1/10)18 - (1/10)20 = ?
(a) 99/1020
(b) 99/10
(c) 0.9
(d) none of these
Ans. (a)
4.Pipe A can fill in 20 minutes and Pipe B in 30 mins
and Pipe C can
empty the same in 40 mins.If all of them work
together, find the time
taken to fill the tank
(a) 17 1/7 mins
(b) 20 mins
(c) 8 mins
(d) none of these
Ans. (a)
5. Thirty men take 20 days to complete a job working 9
hours a day.How
many hour a day should 40 men work to complete the
job?
(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs
Ans. (b)
6. Find the smallest number in a GP whose sum is 38
and product 1728
(a) 12
(b) 20
(c) 8
(d) none of these
Ans. (c)
7. A boat travels 20 kms upstream in 6 hrs and 18 kms
downstream in 4
hrs.Find the speed of the boat in still water and the
speed of the
water current?
(a) 1/2 kmph
(b) 7/12 kmph
(c) 5 kmph
(d) none of these
Ans. (b)
8. A goat is tied to one corner of a square plot of
side 12m by a rope
7m long.Find the area it can graze?
(a) 38.5 sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m
Ans. (a)
9. Mr. Shah decided to walk down the escalator of a
tube station. He
found that if he walks down 26 steps, he requires 30
seconds to
reach the bottom. However, if he steps down 34 stairs
he would only
require 18 seconds to get to the bottom. If the time
is measured from
the moment the top step begins to descend to the
time he steps off
the last step at the bottom, find out the height of
the stair way in
steps?
Ans.46 steps.
10. The average age of 10 members of a committee is
the same as it was
4 years ago, because an old member has been replaced
by a young
member. Find how much younger is the new member ?
Ans.40 years.
11. Three containers A, B and C have volumes a, b, and
c respectively;
and container A is full of water while the other two
are empty. If
from container A water is poured into container B
which becomes 1/3
full, and into container C which becomes 1/2 full, how
much water is
left in container A?
12. ABCE is an isosceles trapezoid and ACDE is a
rectangle. AB = 10
and EC = 20. What is the length of AE?
Ans. AE = 10.
13. In the given figure, PA and PB are tangents to the
circle at A and
B respectively and the chord BC is parallel to
tangent PA. If AC = 6
cm, and length of the tangent AP is 9 cm, then what
is the length of
the chord BC?
Ans. BC = 4 cm.
15 Three cards are drawn at random from an ordinary
pack of cards.
Find the probability that they will consist of a king,
a queen and an ace.
Ans. 64/2210.
16. A number of cats got together and decided to kill
between them
999919 mice. Every cat killed an equal number of
mice. Each cat
killed more mice than there were cats. How many cats
do you think
there were ?
Ans. 991.
17. If Log2 x - 5 Log x + 6 = 0, then what would the
value / values of
x be?
Ans. x = e2 or e3.
18. The square of a two digit number is divided by
half the number.
After 36 is added to the quotient, this sum is then
divided by 2.
The digits of the resulting number are the same as
those in the
original number, but they are in reverse order. The
ten's place of
the original number is equal to twice the difference
between its
digits. What is the number?
Ans. 46
19.Can you tender a one rupee note in such a manner
that there shall
be total 50 coins but none of them would be 2 paise
coins.?
Ans. 45 one paisa coins, 2 five paise coins, 2 ten
paise coins, and 1
twenty-five paise coins.
20.A monkey starts climbing up a tree 20ft. tall. Each
hour, it hops
3ft. and slips back 2ft. How much time would it take
the monkey to
reach the top?
Ans.18 hours.
21. What is the missing number in this series? 8 2
14 6 11 ? 14 6 18 12
Ans. 9
22. A certain type of mixture is prepared by mixing
brand A at Rs.9 a
kg. with brand B at Rs.4 a kg. If the mixture is worth
Rs.7 a kg., how
many kgs. of brand A are needed to make 40kgs. of
the mixture?
Ans. Brand A needed is 24kgs.
23. A wizard named Nepo says "I am only three times my
son's age. My
father is 40 years more than twice my age. Together
the three of us
are a mere 1240 years old." How old is Nepo?
Ans. 360 years old.
24. One dog tells the other that there are two dogs in
front of me.
The other one also shouts that he too had two behind
him. How many are
they?
Ans. Three.
25. A man ate 100 bananas in five days, each day
eating 6 more than
the previous day. How many bananas did he eat on the
first day?
Ans. Eight.
26. If it takes five minutes to boil one egg, how long
will it take to
boil four eggs?
Ans. Five minutes.
27. The minute hand of a clock overtakes the hour hand
at intervals of
64 minutes of correct time. How much a day does the
clock gain or lose?
Ans. 32 8/11 minutes.
28. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2
= 5/9.
Ans. x = 3/2 or -3 and y = 3 or -3/2.
29. Daal is now being sold at Rs. 20 a kg. During last
month its rate
was Rs. 16 per kg. By how much percent should a family
reduce its
consumption so as to keep the expenditure fixed?
Ans. 20 %.
30. Find the least value of 3x + 4y if x2y3 = 6.
Ans. 10.
31. Can you find out what day of the week was January
12, 1979?
Ans. Friday.
32. A garrison of 3300 men has provisions for 32 days,
when given at a
rate of 850 grams per head. At the end of 7 days a
reinforcement
arrives and it was found that now the provisions will
last 8 days
less, when given at the rate of 825 grams per head.
How, many more men
can it feed?
Ans. 1700 men.
33. From 5 different green balls, four different blue
balls and three
different red balls, how many combinations of balls
can be chosen
taking at least one green and one blue ball?
Ans. 3720.
34. Three pipes, A, B, & C are attached to a tank. A &
B can fill it
in 20 & 30 minutes respectively while C can empty it
in 15 minutes.
If A, B & C are kept open successively for 1 minute
each, how soon
will the tank be filled?
Ans. 167 minutes.
35. A person walking 5/6 of his usual rate is 40
minutes late. What is
his usual time? Ans. 3 hours 20 minutes.
36.For a motorist there are three ways going from City
A to City C. By
way of bridge the distance is 20 miles and toll is
$0.75. A tunnel
between the two cities is a distance of 10 miles and
toll is $1.00 for
the vehicle and driver and $0.10 for each passenger. A
two-lane
highway without toll goes east for 30 miles to city B
and then 20
miles in a northwest direction to City C.
(a)15
(b)12
(c)18
(d)10
Ans. (b)
2.If x=y=2z and xyz=256 then what is the value of x?
(a)12
(b)8
(c)16
(d)6
Ans. (b)
3. (1/10)18 - (1/10)20 = ?
(a) 99/1020
(b) 99/10
(c) 0.9
(d) none of these
Ans. (a)
4.Pipe A can fill in 20 minutes and Pipe B in 30 mins
and Pipe C can
empty the same in 40 mins.If all of them work
together, find the time
taken to fill the tank
(a) 17 1/7 mins
(b) 20 mins
(c) 8 mins
(d) none of these
Ans. (a)
5. Thirty men take 20 days to complete a job working 9
hours a day.How
many hour a day should 40 men work to complete the
job?
(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs
Ans. (b)
6. Find the smallest number in a GP whose sum is 38
and product 1728
(a) 12
(b) 20
(c) 8
(d) none of these
Ans. (c)
7. A boat travels 20 kms upstream in 6 hrs and 18 kms
downstream in 4
hrs.Find the speed of the boat in still water and the
speed of the
water current?
(a) 1/2 kmph
(b) 7/12 kmph
(c) 5 kmph
(d) none of these
Ans. (b)
8. A goat is tied to one corner of a square plot of
side 12m by a rope
7m long.Find the area it can graze?
(a) 38.5 sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m
Ans. (a)
9. Mr. Shah decided to walk down the escalator of a
tube station. He
found that if he walks down 26 steps, he requires 30
seconds to
reach the bottom. However, if he steps down 34 stairs
he would only
require 18 seconds to get to the bottom. If the time
is measured from
the moment the top step begins to descend to the
time he steps off
the last step at the bottom, find out the height of
the stair way in
steps?
Ans.46 steps.
10. The average age of 10 members of a committee is
the same as it was
4 years ago, because an old member has been replaced
by a young
member. Find how much younger is the new member ?
Ans.40 years.
11. Three containers A, B and C have volumes a, b, and
c respectively;
and container A is full of water while the other two
are empty. If
from container A water is poured into container B
which becomes 1/3
full, and into container C which becomes 1/2 full, how
much water is
left in container A?
12. ABCE is an isosceles trapezoid and ACDE is a
rectangle. AB = 10
and EC = 20. What is the length of AE?
Ans. AE = 10.
13. In the given figure, PA and PB are tangents to the
circle at A and
B respectively and the chord BC is parallel to
tangent PA. If AC = 6
cm, and length of the tangent AP is 9 cm, then what
is the length of
the chord BC?
Ans. BC = 4 cm.
15 Three cards are drawn at random from an ordinary
pack of cards.
Find the probability that they will consist of a king,
a queen and an ace.
Ans. 64/2210.
16. A number of cats got together and decided to kill
between them
999919 mice. Every cat killed an equal number of
mice. Each cat
killed more mice than there were cats. How many cats
do you think
there were ?
Ans. 991.
17. If Log2 x - 5 Log x + 6 = 0, then what would the
value / values of
x be?
Ans. x = e2 or e3.
18. The square of a two digit number is divided by
half the number.
After 36 is added to the quotient, this sum is then
divided by 2.
The digits of the resulting number are the same as
those in the
original number, but they are in reverse order. The
ten's place of
the original number is equal to twice the difference
between its
digits. What is the number?
Ans. 46
19.Can you tender a one rupee note in such a manner
that there shall
be total 50 coins but none of them would be 2 paise
coins.?
Ans. 45 one paisa coins, 2 five paise coins, 2 ten
paise coins, and 1
twenty-five paise coins.
20.A monkey starts climbing up a tree 20ft. tall. Each
hour, it hops
3ft. and slips back 2ft. How much time would it take
the monkey to
reach the top?
Ans.18 hours.
21. What is the missing number in this series? 8 2
14 6 11 ? 14 6 18 12
Ans. 9
22. A certain type of mixture is prepared by mixing
brand A at Rs.9 a
kg. with brand B at Rs.4 a kg. If the mixture is worth
Rs.7 a kg., how
many kgs. of brand A are needed to make 40kgs. of
the mixture?
Ans. Brand A needed is 24kgs.
23. A wizard named Nepo says "I am only three times my
son's age. My
father is 40 years more than twice my age. Together
the three of us
are a mere 1240 years old." How old is Nepo?
Ans. 360 years old.
24. One dog tells the other that there are two dogs in
front of me.
The other one also shouts that he too had two behind
him. How many are
they?
Ans. Three.
25. A man ate 100 bananas in five days, each day
eating 6 more than
the previous day. How many bananas did he eat on the
first day?
Ans. Eight.
26. If it takes five minutes to boil one egg, how long
will it take to
boil four eggs?
Ans. Five minutes.
27. The minute hand of a clock overtakes the hour hand
at intervals of
64 minutes of correct time. How much a day does the
clock gain or lose?
Ans. 32 8/11 minutes.
28. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2
= 5/9.
Ans. x = 3/2 or -3 and y = 3 or -3/2.
29. Daal is now being sold at Rs. 20 a kg. During last
month its rate
was Rs. 16 per kg. By how much percent should a family
reduce its
consumption so as to keep the expenditure fixed?
Ans. 20 %.
30. Find the least value of 3x + 4y if x2y3 = 6.
Ans. 10.
31. Can you find out what day of the week was January
12, 1979?
Ans. Friday.
32. A garrison of 3300 men has provisions for 32 days,
when given at a
rate of 850 grams per head. At the end of 7 days a
reinforcement
arrives and it was found that now the provisions will
last 8 days
less, when given at the rate of 825 grams per head.
How, many more men
can it feed?
Ans. 1700 men.
33. From 5 different green balls, four different blue
balls and three
different red balls, how many combinations of balls
can be chosen
taking at least one green and one blue ball?
Ans. 3720.
34. Three pipes, A, B, & C are attached to a tank. A &
B can fill it
in 20 & 30 minutes respectively while C can empty it
in 15 minutes.
If A, B & C are kept open successively for 1 minute
each, how soon
will the tank be filled?
Ans. 167 minutes.
35. A person walking 5/6 of his usual rate is 40
minutes late. What is
his usual time? Ans. 3 hours 20 minutes.
36.For a motorist there are three ways going from City
A to City C. By
way of bridge the distance is 20 miles and toll is
$0.75. A tunnel
between the two cities is a distance of 10 miles and
toll is $1.00 for
the vehicle and driver and $0.10 for each passenger. A
two-lane
highway without toll goes east for 30 miles to city B
and then 20
miles in a northwest direction to City C.
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