QUANTITATIVE
APTITUDE
Directions (Qs. 1?4) : in each these questions, a
number series is given. After the series a number is given
followed by (a), (b), (c), (d) and (e). You have to
complete the series starting with the number given,
following the sequence of the original series to answer the
question following both the series :
1. 16 24 36 54 81 121.5
14 (a) (b) (c) (d) (e)
what will come in place of (b) ?
(1) 34
(2) 31.5
(3) 30.5
(4) 32
(5) None of these
Ans: ( 2 ) 31.5
2. 7 15 31 63 127 255
4 (a) (b) (c) (d) (e)
What will come in place of (c) ?
(1) 81
(2) 92
(3) 74
(4) 66
(5) None of these
Ans: ( 5 ) None of these
3. 6 18 36 108 216 648
2 (a) (b) (c) (d) (e)
What will come in place of (e) ?
(1) 482
(2) 344
(3) 216
(4) 420
(5) None of these
Ans: ( 3 ) 216
4. 4 3 16 9 256 81
6 (a) (b) (c) (d) (e)
What will come in place of (d) ?
(1) 872
(2) 948
(3) 1145
(4) 1296
(5) None of these
Ans: ( 4 ) 1296
5. A tap can completely fill a water tank in 8 hours.
The water tank has a hole in it through which the water
leaks out. The leakage will cause the water tank to get
empty in 12 hours. How much time will it take for the tap
to fill the water completely in the tank with the hole?
(1) 16 hours
(2) 29 hours
(3) 24 hours
(4) 18 hours
(5) None of these
Ans: ( 3 ) 24 hours
6. On the children?s day, chocolates were to be
equally distributed among 250 children. But on that day,
75 children were absent. Thus each student got 3
chocolates extra. How many chocolates were distributed in
all ?
(1) 2520
(2) 1750
(3) 1550
(4) 2500
(5) None of these
Ans: ( 2 ) 1750
7. Seven kg of sugar was available for Rs. 84 last
year. If this year, nine kg of sugar is available for Rs.
135, then how much is the percentage increase in the price
of sugar?
(1) 15
(2) 30
(3) 20
(4) 25
(5) None of these
Ans: ( 4 ) 25
8. Mr. Patkar earns Rs. 10,000 per month. Every year,
he spends 18 per cent of his annual income on buying
clothes. How much money does Mr. Patkar spend every month
on buying clothes ?
(1) Rs. 1,500
(2) Rs. 1,750
(3) Rs. 2,500
(4) Rs. 2,250
(5) None of these
Ans: ( 5 ) None of these
9. The number of students studying Physics, Chemistry
and Zoology in a college in the year 2003 were in the ratio
4 : 3 : 5 respectively. If the number in these three
disciplines increased by 50%, 25% and 10% respectively in
the year 2004, then what was the new respective ratio?
(1) 24 : 15 : 22
(2) 18 : 11 : 13
(3) 24 : 13 : 17
(4) Cannot be determined
(5) None of these
Ans: ( 1 ) 24 : 15 : 22
10. Prasad?s monthly income is 25% more than that of
Anam. Anam?s monthly income is 75% less than that of
Bhushan. If the difference between the monthly incomes of
Prasad and Bhushan is Rs. 26, 125, then what is Anam?s
monthly income ?
(1) Rs. 8,000
(2) Rs. 16,000
(3) Rs. 9,500
(4) Data inadequate
(5) None of these
Ans: ( 3 ) Rs. 9,500
11. The price of 5 chairs and 3 tables is Rs.
15015.20. Approximately, what will be the price of 9
tables and 15 chairs ?
(1) Rs. 50,000
(2) Rs. 37,000
(3) Rs. 45,000
(4) Rs. 40,000
(5) None of these
Ans: ( 3 ) Rs. 45,000
12. Three-fourth of two-third of five-seventh of a
number is 15. What is half of that number ?
(1) 21
(2) 26
(3) 42
(4) 25
(5) None of these
Ans: ( 1 ) 21
13. Riya and Mita can independently complete a piece of
work in 15 minutes and 10 minutes respectively. If they
work together, then how much time will they take to
complete that piece of work?
(1) 4 minutes
(2) 9 minutes
(3) 6 minutes
(4) 8 minutes
(5) None of these
Ans: ( 3 ) 6 minutes
14. Kumar borrowed Rs. 6,500 from Devang on simple
interest. After 4 years, Kumar paid back Devang. Rs.
2,080 more than what he had borrowed. What was the rate of
interest per annum ?
(1) 6%
(2) 8%
(3) 12%
(4) 7%
(5) None of these
Ans: ( 2 ) 8%
15. 50% of a number is 39 more than 35% of the same
number. What is 115 percent of that number ?
(1) 179
(2) 299
(3) 85
(4) 215
(5) None of these
Ans: ( 2 ) 299
16. The average age of 82 students and the class
teacher is 18. The total age of only the students is
1450. What is the class teacher?s age ?
(1) 37
(2) 40
(3) 48
(4) Data inadequate
(5) None of these
Ans: ( 5 ) None of these
17. The average marks obtained by Amit in English and
History is 95. The average marks obtained by him in
English and Science is 87. What is the difference between
the marks obtained by him in History and Science ?
(1) 20
(2) 40
(3) 12
(4) 16
(5) None of these
Ans: ( 5 ) None of these
18. The total of the present ages of A and B together
is 12 years more than the total of the present ages of B
and C together. C is how many years younger than A ?
(1) 12
(2) 24
(3) Data inadequate
(4) C is older than A
(5) None of these
Ans: ( 1 ) 12
Directions (Qs. 19?23) : In each of these
questions, a question is followed by the information given
in the three statements. You have to study the question
along with the statements to decide that the information
given in which of the statement(s) is necessary to answer
the given question :
19. What is the speed of the current ?
I. Speed of the boat is 4 km/hr in still water.
II. Boat runs at a spped of 6 km/hr downstream.
III. The difference between the speeds of the boat while
traveling in still water and downstream is 2 km/hr.
(1) Only I and II
(2) Only III
(3) Either I & II together or only III
(4) Only I and either II or III
(5) Any one of the three
Ans: ( 3 ) Either I & II together or only III
20. What was the amount of profit earned ?
I. 8% discount was offered on the labeled price.
II. Had there been no discount then profit would have
been 29%
III. Selling price was more than the cost price by 16%
(1) I and either II or III
(2) Any two of the three
(3) All I, II and III
(4) Either I or II and III
(5) Question cannot be answered even with the
information given in all the three statements
Ans: ( 5 ) Question cannot be answered even
with the information given in all the three statements
21. What is Amar?s present salary?
I. The salary increases every year by 12%.
II. His salary at the time of joining was Rs. 3,500.
III. He had joined exactly 7 years ago.
(1) II and III only
(2) All I, II and III
(3) I and II only
(4) I and III only
(5) None of these
Ans: ( 2 ) All I, II and III
22. What is the total strength of the college ?
I. 45% of the students are studying Commerce only.
II. 1543 students are studying disciplines other than
Arts.
III. 1375 students are studying disciplines other than
Commerce.
(1) Only I and III
(2) Only II and III
(3) Only I
(4) Only III
(5) None of these
Ans: ( 1 ) Only I and III
23. What is the rate of simple interest per annum ?
I. An amount of Rs. 7,500 increases by Rs. 1,125 at
the end of the year.
II. The principal amount of Rs. 6,000 increases by
three times in 20 years.
III. Interest accured on an amount of Rs. 5,200 in 3
years is Rs. 2,340.
(1) Either I and II or III only
(2) Only III
(3) Only I
(4) Any one of the three
(5) None of these
Ans: ( 4 ) Any one of the three
Directions (Qs. 24 to 28) : Study the following
table carefully to answer these questions :
.
Year
School 1997 1998 1999 2000 2001 2002
A 25 80 50 30 15 75
B 30 35 45 25 60 85
C 65 60 55 40 75 75
D 80 3 20 95 70 55
E 10 25 75 65 70 90
F 55 55 95 88 85 90
.
24. If the total number of students appearing in SSC
from School C in the year 2001 was 1204, then what was the
number of students passed ?
(1) 900
(2) 897
(3) 905
(4) 850
(5) None of these
Ans: ( 5 ) None of these
25. What is the ratio of the number of students passing
SSC from School A to that of School E in the year 1999, if
the number of students appeared was 2914 and 604 from
School A and E respectively in that year ?
(1) 1457 : 453
(2) 1450 : 457
(3) 1277 : 527
(4) 1834 : 627
(5) None of these
Ans: ( 1 ) 1457 : 453
26. What is the percentage increase/decrease in the
number of students passing SSC from School F in the year
2000 from the previous year ?
(1) 10
(2) 65
(3) 17
(4) Cannot be determined
(5) None of these
Ans: ( 4 ) Cannot be determined
27. If the number of students passing SSC from School D
in the year 1997 was 1840, then how many students had
appeared in SSC from that School in the same year ?
(1) 2500
(2) 2300
(3) 1900
(4) 2800
(5) None of these
Ans: ( 2 ) 2300
28. If the number of students appeared in SSC from
School B in the year 1997, 1998 and 2002 is 980, 2540 and
1200 respectively, then what is the total number of
students passed in those years ?
(1) 2503
(2) 2105
(3) 2203
(4) 2315
(5) None of these
Ans: ( 3 ) 2203
Directions (Qs. 29 to 32) : Study the following
graph carefully to answer these questions :
NUMBER OF STUDENTS PREFERRING DIFFERENT BEVERAGES
FROM
5 COLLEGES
.
29. Which of the colleges has the highest percentage of
students preferring Coffee over the total of students in
the college ?
(1) A
(2) B
(3) C
(4) D
(5) E
Ans: ( 3 ) C
30. Total number of students preferring Tea from all
the colleges together is what percent of the total number
of students from all the colleges together ?
(1) 32
(2) 47
(3) 51
(4) 24
(5) None of these
Ans: ( 5 ) None of these
31. What is the total number of students preferring
Cola from all the colleges together ?
(1) 2100
(2) 1900
(3) 2400
(4) 1500
(5) None of these
Ans: ( 5 ) None of these
32. What is the ratio between the number of students
preferring Tea and Cola together from college D to the
students preferring Coffee and Cola together from College
E ?
(1) 7 : 6
(2) 4 : 5
(3) 6 : 7
(4) 5 : 4
(5) None of them
Ans: ( 4 ) 5 : 4
Directions (Qs. 33 to 37) : Study the following
table carefully to answer these questions :
NUMBER OF ARTICLES (IN THOUSANDS) MANUFACTURED (M)
AND DEFECTIE (D) BY 5 UNITS OF A COMPANY OVER THE YEARS
Year UNIT
I II III IV V
M D M D M D M D M D
1996 53 21 45 12 76 38 56 21 46 18
1997 49 18 32 10 45 24 63 24 36 14
1998 50 18 48 18 55 16 68 30 34 15
1999 65 20 68 15 57 2 54 19 48 12
2000 70 31 72 13 82 22 48 27 58 10
2001 44 15 56 22 38 32 40 15 60 11
.
33. During which year the largest percentage of the
article was defective out of the articles manufactured by
Unit IV ?
(1) 1996
(2) 1997
(3) 1998
(4) 1999
(5) 2000
Ans: ( 5 ) 2000
34. What is the average number of defective items from
Unit II for the given years ?
(1) 21,500
(2) 17,000
(3) 12,500
(4) 15,000
(5) None of these
Ans: ( 4 ) 15,000
35. What is the ratio between the total number of
articles manufactured by Unit III to that by Unit V for all
the years together ?
(1) 353 : 282
(2) 282 : 353
(3) 457 : 215
(4) 215 : 457
(5) None of these
Ans: ( 1 ) 353 : 282
36. What was the percentage (rounded off to the nearest
integer) of the defective articles over the number of
articles manufactured by all the Units together in the year
2001?
(1) 42
(2) 40
(3) 37
(4) 33
(5) None of these
Ans: ( 2 ) 40
37. During which year, there was the percentage
increase / decrease in manufacture from the previous year,
the highest, for Unit I?
(1) 1998
(2) 2001
(3) 1999
(4) 1997
(5) None of these
Ans: ( 2 ) 2001
Directions (Qs. 1?4) : in each these questions, a
number series is given. After the series a number is given
followed by (a), (b), (c), (d) and (e). You have to
complete the series starting with the number given,
following the sequence of the original series to answer the
question following both the series :
1. 16 24 36 54 81 121.5
14 (a) (b) (c) (d) (e)
what will come in place of (b) ?
(1) 34
(2) 31.5
(3) 30.5
(4) 32
(5) None of these
Ans: ( 2 ) 31.5
2. 7 15 31 63 127 255
4 (a) (b) (c) (d) (e)
What will come in place of (c) ?
(1) 81
(2) 92
(3) 74
(4) 66
(5) None of these
Ans: ( 5 ) None of these
3. 6 18 36 108 216 648
2 (a) (b) (c) (d) (e)
What will come in place of (e) ?
(1) 482
(2) 344
(3) 216
(4) 420
(5) None of these
Ans: ( 3 ) 216
4. 4 3 16 9 256 81
6 (a) (b) (c) (d) (e)
What will come in place of (d) ?
(1) 872
(2) 948
(3) 1145
(4) 1296
(5) None of these
Ans: ( 4 ) 1296
5. A tap can completely fill a water tank in 8 hours.
The water tank has a hole in it through which the water
leaks out. The leakage will cause the water tank to get
empty in 12 hours. How much time will it take for the tap
to fill the water completely in the tank with the hole?
(1) 16 hours
(2) 29 hours
(3) 24 hours
(4) 18 hours
(5) None of these
Ans: ( 3 ) 24 hours
6. On the children?s day, chocolates were to be
equally distributed among 250 children. But on that day,
75 children were absent. Thus each student got 3
chocolates extra. How many chocolates were distributed in
all ?
(1) 2520
(2) 1750
(3) 1550
(4) 2500
(5) None of these
Ans: ( 2 ) 1750
7. Seven kg of sugar was available for Rs. 84 last
year. If this year, nine kg of sugar is available for Rs.
135, then how much is the percentage increase in the price
of sugar?
(1) 15
(2) 30
(3) 20
(4) 25
(5) None of these
Ans: ( 4 ) 25
8. Mr. Patkar earns Rs. 10,000 per month. Every year,
he spends 18 per cent of his annual income on buying
clothes. How much money does Mr. Patkar spend every month
on buying clothes ?
(1) Rs. 1,500
(2) Rs. 1,750
(3) Rs. 2,500
(4) Rs. 2,250
(5) None of these
Ans: ( 5 ) None of these
9. The number of students studying Physics, Chemistry
and Zoology in a college in the year 2003 were in the ratio
4 : 3 : 5 respectively. If the number in these three
disciplines increased by 50%, 25% and 10% respectively in
the year 2004, then what was the new respective ratio?
(1) 24 : 15 : 22
(2) 18 : 11 : 13
(3) 24 : 13 : 17
(4) Cannot be determined
(5) None of these
Ans: ( 1 ) 24 : 15 : 22
10. Prasad?s monthly income is 25% more than that of
Anam. Anam?s monthly income is 75% less than that of
Bhushan. If the difference between the monthly incomes of
Prasad and Bhushan is Rs. 26, 125, then what is Anam?s
monthly income ?
(1) Rs. 8,000
(2) Rs. 16,000
(3) Rs. 9,500
(4) Data inadequate
(5) None of these
Ans: ( 3 ) Rs. 9,500
11. The price of 5 chairs and 3 tables is Rs.
15015.20. Approximately, what will be the price of 9
tables and 15 chairs ?
(1) Rs. 50,000
(2) Rs. 37,000
(3) Rs. 45,000
(4) Rs. 40,000
(5) None of these
Ans: ( 3 ) Rs. 45,000
12. Three-fourth of two-third of five-seventh of a
number is 15. What is half of that number ?
(1) 21
(2) 26
(3) 42
(4) 25
(5) None of these
Ans: ( 1 ) 21
13. Riya and Mita can independently complete a piece of
work in 15 minutes and 10 minutes respectively. If they
work together, then how much time will they take to
complete that piece of work?
(1) 4 minutes
(2) 9 minutes
(3) 6 minutes
(4) 8 minutes
(5) None of these
Ans: ( 3 ) 6 minutes
14. Kumar borrowed Rs. 6,500 from Devang on simple
interest. After 4 years, Kumar paid back Devang. Rs.
2,080 more than what he had borrowed. What was the rate of
interest per annum ?
(1) 6%
(2) 8%
(3) 12%
(4) 7%
(5) None of these
Ans: ( 2 ) 8%
15. 50% of a number is 39 more than 35% of the same
number. What is 115 percent of that number ?
(1) 179
(2) 299
(3) 85
(4) 215
(5) None of these
Ans: ( 2 ) 299
16. The average age of 82 students and the class
teacher is 18. The total age of only the students is
1450. What is the class teacher?s age ?
(1) 37
(2) 40
(3) 48
(4) Data inadequate
(5) None of these
Ans: ( 5 ) None of these
17. The average marks obtained by Amit in English and
History is 95. The average marks obtained by him in
English and Science is 87. What is the difference between
the marks obtained by him in History and Science ?
(1) 20
(2) 40
(3) 12
(4) 16
(5) None of these
Ans: ( 5 ) None of these
18. The total of the present ages of A and B together
is 12 years more than the total of the present ages of B
and C together. C is how many years younger than A ?
(1) 12
(2) 24
(3) Data inadequate
(4) C is older than A
(5) None of these
Ans: ( 1 ) 12
Directions (Qs. 19?23) : In each of these
questions, a question is followed by the information given
in the three statements. You have to study the question
along with the statements to decide that the information
given in which of the statement(s) is necessary to answer
the given question :
19. What is the speed of the current ?
I. Speed of the boat is 4 km/hr in still water.
II. Boat runs at a spped of 6 km/hr downstream.
III. The difference between the speeds of the boat while
traveling in still water and downstream is 2 km/hr.
(1) Only I and II
(2) Only III
(3) Either I & II together or only III
(4) Only I and either II or III
(5) Any one of the three
Ans: ( 3 ) Either I & II together or only III
20. What was the amount of profit earned ?
I. 8% discount was offered on the labeled price.
II. Had there been no discount then profit would have
been 29%
III. Selling price was more than the cost price by 16%
(1) I and either II or III
(2) Any two of the three
(3) All I, II and III
(4) Either I or II and III
(5) Question cannot be answered even with the
information given in all the three statements
Ans: ( 5 ) Question cannot be answered even
with the information given in all the three statements
21. What is Amar?s present salary?
I. The salary increases every year by 12%.
II. His salary at the time of joining was Rs. 3,500.
III. He had joined exactly 7 years ago.
(1) II and III only
(2) All I, II and III
(3) I and II only
(4) I and III only
(5) None of these
Ans: ( 2 ) All I, II and III
22. What is the total strength of the college ?
I. 45% of the students are studying Commerce only.
II. 1543 students are studying disciplines other than
Arts.
III. 1375 students are studying disciplines other than
Commerce.
(1) Only I and III
(2) Only II and III
(3) Only I
(4) Only III
(5) None of these
Ans: ( 1 ) Only I and III
23. What is the rate of simple interest per annum ?
I. An amount of Rs. 7,500 increases by Rs. 1,125 at
the end of the year.
II. The principal amount of Rs. 6,000 increases by
three times in 20 years.
III. Interest accured on an amount of Rs. 5,200 in 3
years is Rs. 2,340.
(1) Either I and II or III only
(2) Only III
(3) Only I
(4) Any one of the three
(5) None of these
Ans: ( 4 ) Any one of the three
Directions (Qs. 24 to 28) : Study the following
table carefully to answer these questions :
.
Year
School 1997 1998 1999 2000 2001 2002
A 25 80 50 30 15 75
B 30 35 45 25 60 85
C 65 60 55 40 75 75
D 80 3 20 95 70 55
E 10 25 75 65 70 90
F 55 55 95 88 85 90
.
24. If the total number of students appearing in SSC
from School C in the year 2001 was 1204, then what was the
number of students passed ?
(1) 900
(2) 897
(3) 905
(4) 850
(5) None of these
Ans: ( 5 ) None of these
25. What is the ratio of the number of students passing
SSC from School A to that of School E in the year 1999, if
the number of students appeared was 2914 and 604 from
School A and E respectively in that year ?
(1) 1457 : 453
(2) 1450 : 457
(3) 1277 : 527
(4) 1834 : 627
(5) None of these
Ans: ( 1 ) 1457 : 453
26. What is the percentage increase/decrease in the
number of students passing SSC from School F in the year
2000 from the previous year ?
(1) 10
(2) 65
(3) 17
(4) Cannot be determined
(5) None of these
Ans: ( 4 ) Cannot be determined
27. If the number of students passing SSC from School D
in the year 1997 was 1840, then how many students had
appeared in SSC from that School in the same year ?
(1) 2500
(2) 2300
(3) 1900
(4) 2800
(5) None of these
Ans: ( 2 ) 2300
28. If the number of students appeared in SSC from
School B in the year 1997, 1998 and 2002 is 980, 2540 and
1200 respectively, then what is the total number of
students passed in those years ?
(1) 2503
(2) 2105
(3) 2203
(4) 2315
(5) None of these
Ans: ( 3 ) 2203
Directions (Qs. 29 to 32) : Study the following
graph carefully to answer these questions :
NUMBER OF STUDENTS PREFERRING DIFFERENT BEVERAGES
FROM
5 COLLEGES
.
29. Which of the colleges has the highest percentage of
students preferring Coffee over the total of students in
the college ?
(1) A
(2) B
(3) C
(4) D
(5) E
Ans: ( 3 ) C
30. Total number of students preferring Tea from all
the colleges together is what percent of the total number
of students from all the colleges together ?
(1) 32
(2) 47
(3) 51
(4) 24
(5) None of these
Ans: ( 5 ) None of these
31. What is the total number of students preferring
Cola from all the colleges together ?
(1) 2100
(2) 1900
(3) 2400
(4) 1500
(5) None of these
Ans: ( 5 ) None of these
32. What is the ratio between the number of students
preferring Tea and Cola together from college D to the
students preferring Coffee and Cola together from College
E ?
(1) 7 : 6
(2) 4 : 5
(3) 6 : 7
(4) 5 : 4
(5) None of them
Ans: ( 4 ) 5 : 4
Directions (Qs. 33 to 37) : Study the following
table carefully to answer these questions :
NUMBER OF ARTICLES (IN THOUSANDS) MANUFACTURED (M)
AND DEFECTIE (D) BY 5 UNITS OF A COMPANY OVER THE YEARS
Year UNIT
I II III IV V
M D M D M D M D M D
1996 53 21 45 12 76 38 56 21 46 18
1997 49 18 32 10 45 24 63 24 36 14
1998 50 18 48 18 55 16 68 30 34 15
1999 65 20 68 15 57 2 54 19 48 12
2000 70 31 72 13 82 22 48 27 58 10
2001 44 15 56 22 38 32 40 15 60 11
.
33. During which year the largest percentage of the
article was defective out of the articles manufactured by
Unit IV ?
(1) 1996
(2) 1997
(3) 1998
(4) 1999
(5) 2000
Ans: ( 5 ) 2000
34. What is the average number of defective items from
Unit II for the given years ?
(1) 21,500
(2) 17,000
(3) 12,500
(4) 15,000
(5) None of these
Ans: ( 4 ) 15,000
35. What is the ratio between the total number of
articles manufactured by Unit III to that by Unit V for all
the years together ?
(1) 353 : 282
(2) 282 : 353
(3) 457 : 215
(4) 215 : 457
(5) None of these
Ans: ( 1 ) 353 : 282
36. What was the percentage (rounded off to the nearest
integer) of the defective articles over the number of
articles manufactured by all the Units together in the year
2001?
(1) 42
(2) 40
(3) 37
(4) 33
(5) None of these
Ans: ( 2 ) 40
37. During which year, there was the percentage
increase / decrease in manufacture from the previous year,
the highest, for Unit I?
(1) 1998
(2) 2001
(3) 1999
(4) 1997
(5) None of these
Ans: ( 2 ) 2001
