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REASONING
-----------------------------
I. Study the following information carefully to answer the given questions
Seven People – A, B, C, D, E, F, and G live in eight different floors of the building (but not necessarily in the same order). One of the floors in the building is vacant. The lowermost floor of the building is numbered one, the one above that is numbered two, and so on till the topmost floor is numbered eight. Each one of them also owns different brands of laptops, namely Lenovo, Dell, HP, Samsung, Apple, Asus and TOSHIBA (but not necessarily in the same order).
The number of people leaving above F is same as the number of floors between F and D. F lives an odd numbered floor above the floor numbered four. Only one person lives between B and the one who owns Samsung. Only three floors between D and the one who owns Apple. The one who owns Asus lives immediately above G, G owns neither Apple nor HP. E does not own Asus. Only three floors between G and A. The one who owns TOSHIBA lives immediately above the one who owns Lenovo, but not on the topmost floor. C lives one of the odd numbered floors above the one who owns Apple. The number of floors between F and the one who owns DELL is only one. Only one person lives between the one who owns TOSHIBA and the vacant floor. Only two people live between C and vacant floor. Two persons live between the one who likes Black colour and the one who likes Yellow Colour. Only one person lives between the one who likes Yellow and the one who likes White. There are two floors between the one who likes Orange and Brown. Four persons live between the one who likes Red and Blue. The one who likes Yellow colour lives on one of the floors above the floor numbered four. The person who lives on the sixth floor does not like white. The one who likes Red colour lives immediately above the one who likes Orange.
II. Study the following information carefully to answer the given questions
Seven students namely viz A, B, C, D, E, F and G of seven different colleges have the seminar on seven different days, namely viz Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday of the same week but necessarily in the same order. Each student stays in a hostel in different floor. The lowermost floor of the building is numbered 1, the one above that is numbered 2 and so on till the topmost floor is numbered 7.
G stayed on the second floor and has a seminar on Wednesday. The one who stayed on the first floor has a seminar on Saturday. B has a seminar immediately before E. B does not have the seminar on any of the days after G. The one who stayed on the seventh floor does not have a seminar on any of the days on or before Friday. The one who stayed on the third floor has a seminar immediately after C. E does not stay on the fifth floor. The one who stays on the sixth floor does not have a seminar immediately before or after G. F does not have any seminar on Sunday and does not live on the third floor. D does not have the seminar on any one of the days before A. Two persons live between the one who likes 5Star and the one who likes Kitkat. Only one person lives between the one who likes Kitkat and the one who likes Munch. Two persons live between the one who likes Munch and Snickers. Four persons live between the one who likes Dairy Milk and Bournville. The one who likes 5star lives on one of the floors above the floor numbered three. The persons who live on the fourth and fifth floor don’t like Snickers. The one who likes Munch lives immediately below the one who likes Dairy Milk.
Direction: Q(1-5) There are 5 friends A, B, C, D and E standing randomly. B is to the northeast of E. D is 2km to the east of E, who is 4km to the west of A. C is to the northwest of D and in the line of EB. D is 4km the south of B.
In which direction is C with respect to A ?
A.South west
B.South east
C.Northeast
D.Northwest
E.None of these
In which direction is A with respect to B ?
A.Southeast
B.Southwest
C.Northwest
D.Northeast
E.None of these
What is the distance between D and A ?
A.5km
B.4km
C.6km
D.3km
E.None of these
What is the shortest distance between B and A?
A.5√7km
B.4√2km
C.6√2km
D.3√5km
E.None of these
What is the shortest distance between between B and E?
A.2√7km
B.5 √2km
C.7√2km
D.2√5km
E.None of these
ENGLISH
----------------------
1. A. The millionaire has __________ Rs. 10,00,000 for this priceless artefact.
B. In a/an __________ to rescue the child who was caught in fire, she sustained burns.
C. I went to the railway station to __________ goodbye to my friend.
D. I was asked to __________ a price by the auctioneer.
(a) quoted
(b) attempt
(c) bid
(d) say
(e) spend
2. A. Many students still __________ around the college, even after the classes are over.
B. Every citizen of India should __________ his head in shame at the brutal killings in the name of religion.
C. There is ample space in the wardrobe for you to __________ your clothes.
D. “__________ the perpetrators of the crime!” shouted the angry mob.
(a) execute
(b) loiter
(c) hang
(d) bend
(e) store
3. A. Akbar was known for his benevolence, people were happy during his __________.
B. Cleopatra has an ambion to __________ the world as a queen of beauty.
C. Beer to __________ in hell than to serve in heaven.
D. One should not allow indolence to __________ over oneself.
(a) reign
(b) dominate
(c) rule
(d) tenure
(e) overpower
4. A. For many years India was __________ in a tricky situaon, whether to go in for a nuclear weapon or not.
B. The marathon innings of the batsman came to an end when he was finally __________ by the same bowler who troubled him the most.
C. The notorious burglar was finally __________ by the cops.
D. I was __________ unaware when my photograph was clicked.
(a) held
(b) seized
(c) apprehended
(d) caught
(e) trapped
5. A. India and Russia __________ an excellent bilateral relaonship.
B. Due to a crash in the overseas market, __________ market in India was also badly affected.
C. According to the law, women are also entled
to a __________ in the ancestral property.
D. Every job has its own __________ of problems.
(a) stock
(b) poron
(c) posses
(d) share
(e) claim
6. A. He does not __________ any ill feelings against anyone.
B. A __________ was appointed to take care of his ailing mother.
C. The foster mother tried to __________ the infant with great care.
D. A lot of patience is required to __________ an aged person.
(a) nature
(b) maid
(c) bear
(d) nurse
(e) feed
7. A. The innocent lady could not see through his evil __________.
B. The intricate __________ on this fabric, makes it more attractive.
C. He employed a famous architect to __________ his house.
D. The psychologist observed a change in the child’s behaviour __________.
(a) intention
(b) pattern
(c) design
(d) model
(e) build
8. A. The little boy was pampered by his grandparents, who catered to his every __________.
B. “Your __________ is my command”, said the genie to the prince.
C. I __________ you could understand me better.
D. Being an easy going person, she behaves according to her own __________ and fancy.
(a) whim
(b) demand
(c) wish
(d) hope
(e) need
9. A. The management took no __________ of the problems pertaining to the workers.
B. The class teacher was called to __________ for the dismal performance of the students in the examination.
C. Many young cricket fans __________ Tendulkar as a hero.
D. The principal promised the students that he would __________ their demands.
(a) consider
(b) explain
(c) accurate
(d) estimate
(e) notice
10. A. Can you please __________ the bell?
B. The words spoken by him sĕll __________ in my ears.
C. Mahatma Gandhi was the __________ leader of the Non‐Cooperation movement.
D. I shall give you a __________ after reaching home.
(a) sound
(b) ring
(c) chief
(d) call
(e) sell
QUANTITATIVE APTITUDE
--------------------------------------------------
1. To fill a, tank, ‘pipes A, B and C take 10 minutes, 15 minutes and 12 minutes respectively. If the three pipes are opened alternately for 1 minute each, then how long will it take to fill the tank?
a) 7 minutes
b) 8 minutes
c) 10 minutes
d) 12 minutes
e) None of these
2. How much water must be added to a cask which contains 35 litres of milk at a cost price of Rs.44 per litre so that the cost of milk reduces to Rs.40 per litre?
a) 6 litres
b) 5 litres
c) 3.5 litres
d) 4 litres
e) None of these
3. A train running at the speed of 35 metres per second crosses a bridge in 20 seconds. Another train which is 140 metres shorter than the previous train crosses the same bridge at the speed of 40 metres per second. Find the time taken by the second train to cross the bridge.
a) 7 seconds
b) 14 seconds
c) 15 seconds
d) 16 seconds
e) None of these
4. The speed of a man in sĕll water is 7.5 kmph and the rate of flow of water is 2.5 kmph. He takes 30 hours to row to a place and back. What is the distance between these two places?
a) 160km
b) 100km
c) 120km
d) 150 km
e) None of these
5. A sum of Rs.11700 each is lent by three brothers Rangesh, Mangesh and Ganesh at a simple interest of 5% per annum for 2 years, 3 years and 4 years respectively. The interest earned by Ganesh is how much more (in Rs.) than that of Mangesh?
a) 558
b) 568
c) 658
d) 585
e) None of these
6. A boat takes a total time of 11 hours and 15 minutes to travel a distance of 60 km upstream and 60 km downstream together. If the speed of the boat in still water is 12 kmph, what is the speed of the current? (in kmph)
a) 9
b) 2
c) 4
d) 8
e) 16
7. The sum of the diameter and the circumference of circle A is 174m. If the radius of circle B is 7m less than the radius of circle A then what is the circumference of circle B? (in m)
a) 88
b) 132
c) 110
d) 96
e) 66
8. The population of Village A is 20% more than the population of Village B. The population of Village C is 40% more than the population of Village A. If the difference between the population of Village B and that of C is 1122, then what is the population of Village A?
a) 2100
b) 1660
c) 1980
d) 1960
e) 1920
Quantitative Aptitude Practice Questions for SBI PO, NIACL Assistant Mains Exam
May 4, 2017 Neha Sharma
1. To fill a, tank, ‘pipes A, B and C take 10 minutes, 15 minutes and 12 minutes respectively. If the three pipes are opened alternately for 1 minute each, then how long will it take to fill the tank?
a) 7 minutes
b) 8 minutes
c) 10 minutes
d) 12 minutes
e) None of these
2. How much water must be added to a cask which contains 35 litres of milk at a cost price of Rs.44 per litre so that the cost of milk reduces to Rs.40 per litre?
a) 6 litres
b) 5 litres
c) 3.5 litres
d) 4 litres
e) None of these
3. A train running at the speed of 35 metres per second crosses a bridge in 20 seconds. Another train which is 140 metres shorter than the previous train crosses the same bridge at the speed of 40 metres per second. Find the time taken by the second train to cross the bridge.
a) 7 seconds
b) 14 seconds
c) 15 seconds
d) 16 seconds
e) None of these
4. The speed of a man in sĕll water is 7.5 kmph and the rate of flow of water is 2.5 kmph. He takes 30 hours to row to a place and back. What is the distance between these two places?
a) 160km
b) 100km
c) 120km
d) 150 km
e) None of these
5. A sum of Rs.11700 each is lent by three brothers Rangesh, Mangesh and Ganesh at a simple interest of 5% per annum for 2 years, 3 years and 4 years respectively. The interest earned by Ganesh is how much more (in Rs.) than that of Mangesh?
a) 558
b) 568
c) 658
d) 585
e) None of these
6. A boat takes a total time of 11 hours and 15 minutes to travel a distance of 60 km upstream and 60 km downstream together. If the speed of the boat in still water is 12 kmph, what is the speed of the current? (in kmph)
a) 9
b) 2
c) 4
d) 8
e) 16
7. The sum of the diameter and the circumference of circle A is 174m. If the radius of circle B is 7m less than the radius of circle A then what is the circumference of circle B? (in m)
a) 88
b) 132
c) 110
d) 96
e) 66
8. The population of Village A is 20% more than the population of Village B. The population of Village C is 40% more than the population of Village A. If the difference between the population of Village B and that of C is 1122, then what is the population of Village A?
a) 2100
b) 1660
c) 1980
d) 1960
e) 1920
9. Jar A has 3x litres of milk and Jar B has x litres of water. 25 litres each of milk and water was taken out from the respective jars and the resultant quantities from both the jars were mixed in Jar C. If the ratio of milk to water in Jar C was 19 : 3, what was the initial quantity of milk in Jar A? (in litres)
a) 90
b) 60
c) 180
d) 150
e) None of these
10. A retailer bought a luxury pen after getting a discount of 30% on the marked price. He sold the luxury pen to a customer for Rs.4536 and earned a profit of 20% on his cost price. What was the initial marked price of the luxury pen?
a) Rs.6200
b) Rs.5800
c) Rs.5600
d) Rs.5400
e) None of these
__________________________________________________
Solutions:
REASONING :--
ENGLISH :--
Answers:
1. C) 2. C) 3. C) 4. D) 5. D) 6. D) 7. C) 8. C) 9. A) 10. B)
QUANTITATIVE APTITUDE :--
1. D) Part of the tank filled in 3 minutes = [1/10 + 1/15 + 1/12] = (6+4+5) / 60 = 15/60 = ¼
therefore, total time = 4 x 3 = 12 minutes
2. C) Let x litres water be added in the mixture,
Then (35 + x)40 = 44 x 35
Or, 1400 + 40x = 1540
Therefore, x = 140/40 = 3.5
Therefore 3.5 litres water must be added in the mixture.
3. B) Let the length of the bridge be x m and that of first train be y m.
(x+ y)/35 = 20
x + y = 700
Again, [x + (y – 140)] / 40 = t
(x – y – 140) / 40 = t => (700 – 140) / 40 = t
T = 560/40 = 14 seconds
4. B) Let the distance between the two places be D km.
Speed of the man downstream = 7.5 + 2.5 = 10 kmph
And the speed of the man upstream = 7.5 — 2.5 = 5 kmph
Let the time taken to go downstream be t1 and upstream be t2.
Distance D is 10t1 = 5t2.
t 2 = 2t1 ….(i)
And t1 + t2 = 30 …(ii)
Solving (i) and (ii), we get
t1 = 10 hours
t2 = 20 hours
distance = 10t1= 10 x 10 = 100 km
5. D) Interest earned by Rangesh = (11700x5x2) / 100 = 1170
Interest earned by Mangesh = (11700x5x3)/100 = 1755
Interest earned by Ganesh = (11700x5x4)/100 = 2340
Reqd answer = 2340 — 1755 = 585
6. C) Let the speed of the current be x kmph.
Then, downstream speed = 12 + x
Upstream speed = 12 ‐ x
Now, [ 60 / (12+x) ] + [ 60 / (12 — x) ] = 11 + (15/60) =11 1/4 = 45/4
or, (60 x 12 ‐ 60x + 60 x 12 + 60x) / (144 — x2) = 45/4
or, 1440 / (144 – x2) = 45/4
or, 32 / (144—x2) = 1/ 4
or, 128 = 144 — x2
or,x2 = 144 — 128 = 16
Therefore x = 4 kmph
7. A) Circumference of the circle A = 2Пr
And diameter = 2r
Thus, 2r + 2Пr = 174
or, 2r(1 + П) = 174
or, r(1 + П) = 87
r = 87 / [ 1 + (22/7)] = (87×7) / 29 = 21cm
Radius of the circle B = 21 — 7 = 14 cm
Therefore, Circumference of the circle B = 2 x (22/7) x 14 =88 cm
8. C)
Now, B — C = 1122
Or, 168 — 100 = 1122
Or, 68 = 1122
120 = (1122/88) × 120 = 1980
9. E)
Now, (3x —25) / (x ‐ 25) = 19/3
or, 19x ‐ 25 x 19 = 9x ‐ 25 x 3
or, 10x = 475 — 75 = 400
x = 40 litres
Hence the quantity of milk in Jar A was 3x = 3 x 40 = 120 litres
10. D) Cost price of luxury pen = 4536 x (100/120) = 4536 x (5/6) = 756 x 5 = 3780
Marked price = 3780 x (100/70) = 54 x100 = Rs.5400
REASONING
-----------------------------
I. Study the following information carefully to answer the given questions
Seven People – A, B, C, D, E, F, and G live in eight different floors of the building (but not necessarily in the same order). One of the floors in the building is vacant. The lowermost floor of the building is numbered one, the one above that is numbered two, and so on till the topmost floor is numbered eight. Each one of them also owns different brands of laptops, namely Lenovo, Dell, HP, Samsung, Apple, Asus and TOSHIBA (but not necessarily in the same order).
The number of people leaving above F is same as the number of floors between F and D. F lives an odd numbered floor above the floor numbered four. Only one person lives between B and the one who owns Samsung. Only three floors between D and the one who owns Apple. The one who owns Asus lives immediately above G, G owns neither Apple nor HP. E does not own Asus. Only three floors between G and A. The one who owns TOSHIBA lives immediately above the one who owns Lenovo, but not on the topmost floor. C lives one of the odd numbered floors above the one who owns Apple. The number of floors between F and the one who owns DELL is only one. Only one person lives between the one who owns TOSHIBA and the vacant floor. Only two people live between C and vacant floor. Two persons live between the one who likes Black colour and the one who likes Yellow Colour. Only one person lives between the one who likes Yellow and the one who likes White. There are two floors between the one who likes Orange and Brown. Four persons live between the one who likes Red and Blue. The one who likes Yellow colour lives on one of the floors above the floor numbered four. The person who lives on the sixth floor does not like white. The one who likes Red colour lives immediately above the one who likes Orange.
II. Study the following information carefully to answer the given questions
Seven students namely viz A, B, C, D, E, F and G of seven different colleges have the seminar on seven different days, namely viz Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday of the same week but necessarily in the same order. Each student stays in a hostel in different floor. The lowermost floor of the building is numbered 1, the one above that is numbered 2 and so on till the topmost floor is numbered 7.
G stayed on the second floor and has a seminar on Wednesday. The one who stayed on the first floor has a seminar on Saturday. B has a seminar immediately before E. B does not have the seminar on any of the days after G. The one who stayed on the seventh floor does not have a seminar on any of the days on or before Friday. The one who stayed on the third floor has a seminar immediately after C. E does not stay on the fifth floor. The one who stays on the sixth floor does not have a seminar immediately before or after G. F does not have any seminar on Sunday and does not live on the third floor. D does not have the seminar on any one of the days before A. Two persons live between the one who likes 5Star and the one who likes Kitkat. Only one person lives between the one who likes Kitkat and the one who likes Munch. Two persons live between the one who likes Munch and Snickers. Four persons live between the one who likes Dairy Milk and Bournville. The one who likes 5star lives on one of the floors above the floor numbered three. The persons who live on the fourth and fifth floor don’t like Snickers. The one who likes Munch lives immediately below the one who likes Dairy Milk.
Direction: Q(1-5) There are 5 friends A, B, C, D and E standing randomly. B is to the northeast of E. D is 2km to the east of E, who is 4km to the west of A. C is to the northwest of D and in the line of EB. D is 4km the south of B.
In which direction is C with respect to A ?
A.South west
B.South east
C.Northeast
D.Northwest
E.None of these
In which direction is A with respect to B ?
A.Southeast
B.Southwest
C.Northwest
D.Northeast
E.None of these
What is the distance between D and A ?
A.5km
B.4km
C.6km
D.3km
E.None of these
What is the shortest distance between B and A?
A.5√7km
B.4√2km
C.6√2km
D.3√5km
E.None of these
What is the shortest distance between between B and E?
A.2√7km
B.5 √2km
C.7√2km
D.2√5km
E.None of these
ENGLISH
----------------------
1. A. The millionaire has __________ Rs. 10,00,000 for this priceless artefact.
B. In a/an __________ to rescue the child who was caught in fire, she sustained burns.
C. I went to the railway station to __________ goodbye to my friend.
D. I was asked to __________ a price by the auctioneer.
(a) quoted
(b) attempt
(c) bid
(d) say
(e) spend
2. A. Many students still __________ around the college, even after the classes are over.
B. Every citizen of India should __________ his head in shame at the brutal killings in the name of religion.
C. There is ample space in the wardrobe for you to __________ your clothes.
D. “__________ the perpetrators of the crime!” shouted the angry mob.
(a) execute
(b) loiter
(c) hang
(d) bend
(e) store
3. A. Akbar was known for his benevolence, people were happy during his __________.
B. Cleopatra has an ambion to __________ the world as a queen of beauty.
C. Beer to __________ in hell than to serve in heaven.
D. One should not allow indolence to __________ over oneself.
(a) reign
(b) dominate
(c) rule
(d) tenure
(e) overpower
4. A. For many years India was __________ in a tricky situaon, whether to go in for a nuclear weapon or not.
B. The marathon innings of the batsman came to an end when he was finally __________ by the same bowler who troubled him the most.
C. The notorious burglar was finally __________ by the cops.
D. I was __________ unaware when my photograph was clicked.
(a) held
(b) seized
(c) apprehended
(d) caught
(e) trapped
5. A. India and Russia __________ an excellent bilateral relaonship.
B. Due to a crash in the overseas market, __________ market in India was also badly affected.
C. According to the law, women are also entled
to a __________ in the ancestral property.
D. Every job has its own __________ of problems.
(a) stock
(b) poron
(c) posses
(d) share
(e) claim
6. A. He does not __________ any ill feelings against anyone.
B. A __________ was appointed to take care of his ailing mother.
C. The foster mother tried to __________ the infant with great care.
D. A lot of patience is required to __________ an aged person.
(a) nature
(b) maid
(c) bear
(d) nurse
(e) feed
7. A. The innocent lady could not see through his evil __________.
B. The intricate __________ on this fabric, makes it more attractive.
C. He employed a famous architect to __________ his house.
D. The psychologist observed a change in the child’s behaviour __________.
(a) intention
(b) pattern
(c) design
(d) model
(e) build
8. A. The little boy was pampered by his grandparents, who catered to his every __________.
B. “Your __________ is my command”, said the genie to the prince.
C. I __________ you could understand me better.
D. Being an easy going person, she behaves according to her own __________ and fancy.
(a) whim
(b) demand
(c) wish
(d) hope
(e) need
9. A. The management took no __________ of the problems pertaining to the workers.
B. The class teacher was called to __________ for the dismal performance of the students in the examination.
C. Many young cricket fans __________ Tendulkar as a hero.
D. The principal promised the students that he would __________ their demands.
(a) consider
(b) explain
(c) accurate
(d) estimate
(e) notice
10. A. Can you please __________ the bell?
B. The words spoken by him sĕll __________ in my ears.
C. Mahatma Gandhi was the __________ leader of the Non‐Cooperation movement.
D. I shall give you a __________ after reaching home.
(a) sound
(b) ring
(c) chief
(d) call
(e) sell
QUANTITATIVE APTITUDE
--------------------------------------------------
1. To fill a, tank, ‘pipes A, B and C take 10 minutes, 15 minutes and 12 minutes respectively. If the three pipes are opened alternately for 1 minute each, then how long will it take to fill the tank?
a) 7 minutes
b) 8 minutes
c) 10 minutes
d) 12 minutes
e) None of these
2. How much water must be added to a cask which contains 35 litres of milk at a cost price of Rs.44 per litre so that the cost of milk reduces to Rs.40 per litre?
a) 6 litres
b) 5 litres
c) 3.5 litres
d) 4 litres
e) None of these
3. A train running at the speed of 35 metres per second crosses a bridge in 20 seconds. Another train which is 140 metres shorter than the previous train crosses the same bridge at the speed of 40 metres per second. Find the time taken by the second train to cross the bridge.
a) 7 seconds
b) 14 seconds
c) 15 seconds
d) 16 seconds
e) None of these
4. The speed of a man in sĕll water is 7.5 kmph and the rate of flow of water is 2.5 kmph. He takes 30 hours to row to a place and back. What is the distance between these two places?
a) 160km
b) 100km
c) 120km
d) 150 km
e) None of these
5. A sum of Rs.11700 each is lent by three brothers Rangesh, Mangesh and Ganesh at a simple interest of 5% per annum for 2 years, 3 years and 4 years respectively. The interest earned by Ganesh is how much more (in Rs.) than that of Mangesh?
a) 558
b) 568
c) 658
d) 585
e) None of these
6. A boat takes a total time of 11 hours and 15 minutes to travel a distance of 60 km upstream and 60 km downstream together. If the speed of the boat in still water is 12 kmph, what is the speed of the current? (in kmph)
a) 9
b) 2
c) 4
d) 8
e) 16
7. The sum of the diameter and the circumference of circle A is 174m. If the radius of circle B is 7m less than the radius of circle A then what is the circumference of circle B? (in m)
a) 88
b) 132
c) 110
d) 96
e) 66
8. The population of Village A is 20% more than the population of Village B. The population of Village C is 40% more than the population of Village A. If the difference between the population of Village B and that of C is 1122, then what is the population of Village A?
a) 2100
b) 1660
c) 1980
d) 1960
e) 1920
Quantitative Aptitude Practice Questions for SBI PO, NIACL Assistant Mains Exam
May 4, 2017 Neha Sharma
1. To fill a, tank, ‘pipes A, B and C take 10 minutes, 15 minutes and 12 minutes respectively. If the three pipes are opened alternately for 1 minute each, then how long will it take to fill the tank?
a) 7 minutes
b) 8 minutes
c) 10 minutes
d) 12 minutes
e) None of these
2. How much water must be added to a cask which contains 35 litres of milk at a cost price of Rs.44 per litre so that the cost of milk reduces to Rs.40 per litre?
a) 6 litres
b) 5 litres
c) 3.5 litres
d) 4 litres
e) None of these
3. A train running at the speed of 35 metres per second crosses a bridge in 20 seconds. Another train which is 140 metres shorter than the previous train crosses the same bridge at the speed of 40 metres per second. Find the time taken by the second train to cross the bridge.
a) 7 seconds
b) 14 seconds
c) 15 seconds
d) 16 seconds
e) None of these
4. The speed of a man in sĕll water is 7.5 kmph and the rate of flow of water is 2.5 kmph. He takes 30 hours to row to a place and back. What is the distance between these two places?
a) 160km
b) 100km
c) 120km
d) 150 km
e) None of these
5. A sum of Rs.11700 each is lent by three brothers Rangesh, Mangesh and Ganesh at a simple interest of 5% per annum for 2 years, 3 years and 4 years respectively. The interest earned by Ganesh is how much more (in Rs.) than that of Mangesh?
a) 558
b) 568
c) 658
d) 585
e) None of these
6. A boat takes a total time of 11 hours and 15 minutes to travel a distance of 60 km upstream and 60 km downstream together. If the speed of the boat in still water is 12 kmph, what is the speed of the current? (in kmph)
a) 9
b) 2
c) 4
d) 8
e) 16
7. The sum of the diameter and the circumference of circle A is 174m. If the radius of circle B is 7m less than the radius of circle A then what is the circumference of circle B? (in m)
a) 88
b) 132
c) 110
d) 96
e) 66
8. The population of Village A is 20% more than the population of Village B. The population of Village C is 40% more than the population of Village A. If the difference between the population of Village B and that of C is 1122, then what is the population of Village A?
a) 2100
b) 1660
c) 1980
d) 1960
e) 1920
9. Jar A has 3x litres of milk and Jar B has x litres of water. 25 litres each of milk and water was taken out from the respective jars and the resultant quantities from both the jars were mixed in Jar C. If the ratio of milk to water in Jar C was 19 : 3, what was the initial quantity of milk in Jar A? (in litres)
a) 90
b) 60
c) 180
d) 150
e) None of these
10. A retailer bought a luxury pen after getting a discount of 30% on the marked price. He sold the luxury pen to a customer for Rs.4536 and earned a profit of 20% on his cost price. What was the initial marked price of the luxury pen?
a) Rs.6200
b) Rs.5800
c) Rs.5600
d) Rs.5400
e) None of these
__________________________________________________
Solutions:
REASONING :--
ENGLISH :--
Answers:
1. C) 2. C) 3. C) 4. D) 5. D) 6. D) 7. C) 8. C) 9. A) 10. B)
QUANTITATIVE APTITUDE :--
1. D) Part of the tank filled in 3 minutes = [1/10 + 1/15 + 1/12] = (6+4+5) / 60 = 15/60 = ¼
therefore, total time = 4 x 3 = 12 minutes
2. C) Let x litres water be added in the mixture,
Then (35 + x)40 = 44 x 35
Or, 1400 + 40x = 1540
Therefore, x = 140/40 = 3.5
Therefore 3.5 litres water must be added in the mixture.
3. B) Let the length of the bridge be x m and that of first train be y m.
(x+ y)/35 = 20
x + y = 700
Again, [x + (y – 140)] / 40 = t
(x – y – 140) / 40 = t => (700 – 140) / 40 = t
T = 560/40 = 14 seconds
4. B) Let the distance between the two places be D km.
Speed of the man downstream = 7.5 + 2.5 = 10 kmph
And the speed of the man upstream = 7.5 — 2.5 = 5 kmph
Let the time taken to go downstream be t1 and upstream be t2.
Distance D is 10t1 = 5t2.
t 2 = 2t1 ….(i)
And t1 + t2 = 30 …(ii)
Solving (i) and (ii), we get
t1 = 10 hours
t2 = 20 hours
distance = 10t1= 10 x 10 = 100 km
5. D) Interest earned by Rangesh = (11700x5x2) / 100 = 1170
Interest earned by Mangesh = (11700x5x3)/100 = 1755
Interest earned by Ganesh = (11700x5x4)/100 = 2340
Reqd answer = 2340 — 1755 = 585
6. C) Let the speed of the current be x kmph.
Then, downstream speed = 12 + x
Upstream speed = 12 ‐ x
Now, [ 60 / (12+x) ] + [ 60 / (12 — x) ] = 11 + (15/60) =11 1/4 = 45/4
or, (60 x 12 ‐ 60x + 60 x 12 + 60x) / (144 — x2) = 45/4
or, 1440 / (144 – x2) = 45/4
or, 32 / (144—x2) = 1/ 4
or, 128 = 144 — x2
or,x2 = 144 — 128 = 16
Therefore x = 4 kmph
7. A) Circumference of the circle A = 2Пr
And diameter = 2r
Thus, 2r + 2Пr = 174
or, 2r(1 + П) = 174
or, r(1 + П) = 87
r = 87 / [ 1 + (22/7)] = (87×7) / 29 = 21cm
Radius of the circle B = 21 — 7 = 14 cm
Therefore, Circumference of the circle B = 2 x (22/7) x 14 =88 cm
8. C)
Now, B — C = 1122
Or, 168 — 100 = 1122
Or, 68 = 1122
120 = (1122/88) × 120 = 1980
9. E)
Now, (3x —25) / (x ‐ 25) = 19/3
or, 19x ‐ 25 x 19 = 9x ‐ 25 x 3
or, 10x = 475 — 75 = 400
x = 40 litres
Hence the quantity of milk in Jar A was 3x = 3 x 40 = 120 litres
10. D) Cost price of luxury pen = 4536 x (100/120) = 4536 x (5/6) = 756 x 5 = 3780
Marked price = 3780 x (100/70) = 54 x100 = Rs.5400
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