Sample Paper 2
Here we provides Quantative Aptitude MSQ's :
1. If 2x-y=4 then 6x-3y=?
(a)15
(b)12
(c)18
(d)10
2. If x=y=2z and xyz=256 then what is the value of x?
(a)12
(b)8
(c)16
(d)6
3. (1/10)18 - (1/10)20 = ?
(a) 99/1020
(b) 99/10
(c) 0.9
(d) none of these
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
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
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
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
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
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?
(a) 64 steps
(b) 43 steps
(c) 40 steps
(d) 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the same as it was 4 years ago, because an old member has been
replaced by a young member.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 ?
(a) 35 years
(b) 40 years
(c) 28 years
(d) 42 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?
(a) 2/3
(b) 2/5
(c) 4/3
(d) none of these
12. ABCE is an isosceles trapezoid and ACDE is a
rectangle. AB = 10 and EC = 20. What is the length of AE?
(a) 20
(b) 30
(c) 10
(d) 100
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?
(a) 6 cm
(b) 5 cm
(c) 4 cm
(d) 8 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.
(a) 46/2210
(b) 64/221
(c) 64/2210
(d) 640/221
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 ?
(a) 99
(b) 89
(c) 991
(d) 992
17.If 2x-y=4 then 6x-3y=?
(a)15
(b)12
(c)18
(d)10
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?
(a) 59
(b) 64
(c) 46
(d) 33
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.?
(a) 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins
(b) 54 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins
(c) 45 one paisa coins, 4 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins
(d) 45 one paisa coins, 2 five paise coins, 20 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?
(a) 18 hours
(b) 19 hours
(c) 6 hours
(d) 5 hours
21. What is the missing number in this series? 8 2
14 6 11 ? 14 6 18 12
(a) 9
(b) 6
(c) 10
(d) 7
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?
(a) 24 kgs
(b) 42kgs
(c) 24gms
(d) 41kgs
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?
(a) 360 years
(b) 36 years
(c) 63 years
(d) 365 years
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?
(a) 4
(b) 1
(c) 2
(d) 3
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?
(a) 18
(b) 80
(c) 7
(d) 8
26. If it takes five minutes to boil one egg, how long
will it take to boil four eggs?
(a) Five minutes
(b) twenty minutes
(c) ten minutes
(d) none of these
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?
(a) 23 8/11
(b) 31 8/11
(c) 32 8/11
(d) 32 11/8
28. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
(a) x = 3/2 or -3x = 3/2 or -3
(b) y = 3 or -3/2.
(c) x = 3/2 or -3 and y = 3 or -3/2.
(d) none of these
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?
(a) 2%
(b) 20%
(c) 10%
(d) 22%
30. Find the least value of 3x + 4y if x2y3 = 6.
(a) 10
(b) 20
(c) 30
(d) 40
31. Can you find out what day of the week was January 12, 1979?
(a) Tuesday
(b) Wednesday
(c) Thursday
(d) 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?
(a) 1000 men
(b) 1500 men
(c) 1600 men
(d) 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?
(a) 3270
(b) 7320
(c) 2370
(d) 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?
(a) 176 mins
(b) 167 mins
(c) 142 mins
(d)117 mis
35. A person walking 5/6 of his usual rate is 40
minutes late. What is his usual time?
(a) 2 hours 20 minutes.
(b) 3 hours 20 minutes.
(c) 8 hours 20 minutes.
(d) 3 hours 02 minutes.
ANSWERS:-
1. (b),2. (b),3. (a),4. (a),5. (b),6. (c),7. (b),8. (a),9. (d),10. (b),
11. (d),12 (c),.13. (c),14. (c),15. (c),16. (c),17. (b),18. (c),
19. (a),20. (a),21. (a),22. (a),23. (a),24. (d),25. (d),26. (a),27 (c)
28. (c),29. (b),30. (a),31. (d),32. (d),33. (d),34. (b),35. (b).
Here we provides Quantative Aptitude MSQ's :
1. If 2x-y=4 then 6x-3y=?
(a)15
(b)12
(c)18
(d)10
2. If x=y=2z and xyz=256 then what is the value of x?
(a)12
(b)8
(c)16
(d)6
3. (1/10)18 - (1/10)20 = ?
(a) 99/1020
(b) 99/10
(c) 0.9
(d) none of these
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
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
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
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
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
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?
(a) 64 steps
(b) 43 steps
(c) 40 steps
(d) 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 ?
(a) 35 years
(b) 40 years
(c) 28 years
(d) 42 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?
(a) 2/3
(b) 2/5
(c) 4/3
(d) none of these
12. ABCE is an isosceles trapezoid and ACDE is a
rectangle. AB = 10 and EC = 20. What is the length of AE?
(a) 20
(b) 30
(c) 10
(d) 100
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?
(a) 6 cm
(b) 5 cm
(c) 4 cm
(d) 8 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.
(a) 46/2210
(b) 64/221
(c) 64/2210
(d) 640/221
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 ?
(a) 99
(b) 89
(c) 991
(d) 992
17.If 2x-y=4 then 6x-3y=?
(a)15
(b)12
(c)18
(d)10
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?
(a) 59
(b) 64
(c) 46
(d) 33
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.?
(a) 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins
(b) 54 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins
(c) 45 one paisa coins, 4 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins
(d) 45 one paisa coins, 2 five paise coins, 20 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?
(a) 18 hours
(b) 19 hours
(c) 6 hours
(d) 5 hours
21. What is the missing number in this series? 8 2
14 6 11 ? 14 6 18 12
(a) 9
(b) 6
(c) 10
(d) 7
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?
(a) 24 kgs
(b) 42kgs
(c) 24gms
(d) 41kgs
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?
(a) 360 years
(b) 36 years
(c) 63 years
(d) 365 years
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?
(a) 4
(b) 1
(c) 2
(d) 3
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?
(a) 18
(b) 80
(c) 7
(d) 8
26. If it takes five minutes to boil one egg, how long
will it take to boil four eggs?
(a) Five minutes
(b) twenty minutes
(c) ten minutes
(d) none of these
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?
(a) 23 8/11
(b) 31 8/11
(c) 32 8/11
(d) 32 11/8
28. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
(a) x = 3/2 or -3x = 3/2 or -3
(b) y = 3 or -3/2.
(c) x = 3/2 or -3 and y = 3 or -3/2.
(d) none of these
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?
(a) 2%
(b) 20%
(c) 10%
(d) 22%
30. Find the least value of 3x + 4y if x2y3 = 6.
(a) 10
(b) 20
(c) 30
(d) 40
31. Can you find out what day of the week was January 12, 1979?
(a) Tuesday
(b) Wednesday
(c) Thursday
(d) 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?
(a) 1000 men
(b) 1500 men
(c) 1600 men
(d) 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?
(a) 3270
(b) 7320
(c) 2370
(d) 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?
(a) 176 mins
(b) 167 mins
(c) 142 mins
(d)117 mis
35. A person walking 5/6 of his usual rate is 40
minutes late. What is his usual time?
(a) 2 hours 20 minutes.
(b) 3 hours 20 minutes.
(c) 8 hours 20 minutes.
(d) 3 hours 02 minutes.
ANSWERS:-
1. (b),2. (b),3. (a),4. (a),5. (b),6. (c),7. (b),8. (a),9. (d),10. (b),
11. (d),12 (c),.13. (c),14. (c),15. (c),16. (c),17. (b),18. (c),
19. (a),20. (a),21. (a),22. (a),23. (a),24. (d),25. (d),26. (a),27 (c)
28. (c),29. (b),30. (a),31. (d),32. (d),33. (d),34. (b),35. (b).
