| |
Answers
: SECTION-II |
| |
DIRECTIONS
for questions 51 to 58: Choose the correct option. |
| Question
51. |
The
fifth term of an arithmetic progression is 16 and the ninth is 44.
Find its seventeenth term.
A.
86
B.
100
C.
12
D.
Cannot be determined
|
| Question
52. |
2
trains moving in opposite directions find themselves on the same track.
The slower train, moving at 81 km/hr sports the faster train, moving at
99 km/hr, at 10:46 am., when they are only 2250 mts. Apart.
The driver of the slower train comes to an immediate halt but the faster
train continues moving. At what time does the accident take
place?
A.
10:47:40
B.
40:48:10
C.
10:49:00
D.
10:50:22
|
| Question
53. |
From
a cube of side 9 cms, how many cubes can be formed of size
45mm?
A. 4
B. 8
C. 16
D. 32
|
| Question
54. |
In
a trapezium, the diagonals intersect at point O. The ratio of the length
of one of the diagonals from on vertex of the trapezium to the point O
to its entire length is 2:5. Find the ratio of its parallel sides
(smaller side:larger side).
A.
2:5
B.
2:3
C.
2:7
D.
5:7
|
| Question
55. |
The
8th digit of (303)3 is
A.
3
B.
7
C.
9
D.
1
|
| Question
56. |
If
xa +yb = zc, what is z, if a=bc?
A.
c(xc+y)/b
B.
a(xc+y)/c2
C. b(x+yc)/c
D. a(x+yc)c2
|
| Question
57. |
If the side of a cube is twice the radius of a sphere,
which of the following is true?
I. the cube completely fits into
the sphere
II. the sphere completely its into the cube
A.
I only
B.
II only
C.
both I and II
D.
Neither I nor II
|
| Question
58. |
‘A’
takes twice as much time as “B” does to complete a piece of work
but gets paid half of what ‘B’ gets paid for the same work. The
ratio of their hourly wages is (A:B).
A.
1:1
B.
1:2
C.
1:4
D.
4:1
|
| |
DIRECTIONS
for questions 59 to 64: Refer to the following data.
In
3 comprehensive tests taken by IMS students for part B, eight good students
A,B,C,D,E,F,G and H were identified and ranked . For each of the
tests, the following observations were made
I. no.2 students share the same rank
II. A has a better rank compared to H
III. C is exactly one rank better than G
IV. There is only one student ranked between B and F. this
student has a lower rank than A
V. D and G have a better rank than A
VI. E tops the ranking
|
| Question
59. |
Which of the following cannot have the
lowest rank
A.
B
B. F
C. H
D. I and II |
| Question
60. |
Who
is ranked fifth?
A. G
B. D
C. A
D. Insufficient Data
|
| Question
61. |
How
many positions can G occupy?
A. 1
B. 2
C. 3
D. 4
|
| Question
62. |
From
the given data, how many ranks are definitely determined?
A. 3
B. 4
C. 5
D. 6 |
| Question
63. |
If
‘H’ is ranked 7the what is D’s rank
A. 2
B. 3
C. 5
D. Insufficient data
|
| Question
64. |
Which
of the following arrangements is valid?
A.
E D G C H A B F
B.
E C G D A F H B
C.
E D C G B A F H
D.
E D B C G A F H
|
| |
DIRECTIONS
for questions 65 to 70: Choose the correct option. |
| Question
65. |
A
cylinder of base radius 5 cm and height 58 cm is inclined in such
a manner that the smallest vertical distance from the ground to its top
surface is 29 cms. Find the angle of inclination
A.
15°
B.
30°
C.
45°
D.
60°
|
| Question
66. |
If
‘MARY’=’Are bright stars visible. ‘Which of the following will answer
the question
A.
RAMY
B.
YMAR
C.
ARMY
D.
Both 2 and 3
|
| Question
67. |
A
point on the largest side of a triangle is equidistant from the vertices
of that side. A line passing through this point, and parallel to
the smallest side intersects the longest and second longest side
at a distance 17 cms apart. Find the length of the smallest side.
A.
8.5
B.
34
C.
51
D.
Can’t be determined
|
| Question
68. |
Which
is the largest 6 digit number that is a multiple of 9 but leaves
a remainder of 2 when divided by 11?
A.
999999
B.
999992
C.
999891
D.
None of these
|
| Question
69. |
In
how many ways can you arrange the letters of ‘APTITUDE’ so as to form
words that start and end with a vowel?
A.
64
B.
128
C.
144
D.
196
|
| Question
70. |
If
the speed of a boat when travelling downstream is three times its speed
when travelling upstream, then the speed of the current is what % of the
speed of the boat in still water
A.
50%
B.
66 2/3 %
C.
75%
D.
Can’t be determined
|
| |
DIRECTIONS
for questions 71 to 75: Refer to the following data
A,B,C,D,
and E belong to multinational companies in 5 different countries.
They attend an international conference in New York, however, communication
between them becomes a problem on account of the following restrictions.
I. A speaks only German and English
II. B speaks only Spanish, Italian and French
III. C speaks only German
IV. D speaks English and Italian
V. E speaks French and German
|
| Question
71. |
Which
of the following groups can communicate with an interpreter?
A.
A,D,E
B.
B,D,E
C.
A,C,E
D.
A,B,E
|
| Question
72. |
In
all how many groups of 3 is possible to form which will not require an
interpreter?
A. 1
B. 2
C. 4
D. 6 |
| Question
73. |
If
B and C have to communicate, who can serve as an Interpreter?
A. A
B. D
C. E
D. No Interpreter
required
|
| Question
74. |
How
many pairs can be formed where delegates can communicate with each other
without a third person assisting them?
A. 3
B. 4
C. 5
D. 6 |
| Question
75. |
In
the previous question, if ‘C’ were to speak one more language, which
language should it be so as to increase the number of pairs by maximum
possible value?
A.
English
B.
French
C.
Italian
D.
Either A, B,or C
|
| Question
76. |
If
2 is subtracted from a number, it becomes a perfect square. Which
of the following cannot be the l st digit of the original number?
A. 3
B. 6
C. 8
D. 0 |
| Question
77. |
A
sphere is melted and half the liquid is used to form 11 equal cubes, whereas
the remaining half is used to form 7 equal smaller spheres. The
ratio of the side of the cube to the radius of the new small spheres is
A.
1:Ö3
B.
2:Ö3
C.
2Ö3:1
D.
Ö3:Ö2
|
| Question
78. |
The
question x 2+ yx+ 16 has only one root. What is ‘y’?
A.
-4
B. 4
C. 8
D. Can't be
determined
|
| Question
79. |
71x
62x53x4 4equals
A.
8064000
B.
6428500
C.
9826520
D.
1246400
|
| Question
80. |
After
elections to 288 assembly seats, the spokesperson of a party observed
that had they obtained 16% more seats, they would then have had a simple
majority. How many seats has the party obtained
A. 110
B. 120
C. 125
D. 160
|
| Question
81. |
From
a bunch of 5 keys, 3 right keys have to be used to open a lock,
such that the first opens the lock and allows the second key to be used,
and the second key allows the third be used. What are the chance
of opening the lock in a random selection of 3 keys?
A.
1/30
B.
1/60
C.
1/120
D.
1/80
|
| Question
82. |
If
a/b> c/d then
A.
log a + log c > log b-logd
B.
log a+ logd> logb +logc
C.
log a+ log c = log b+ logd
D.
None of these
|
| Question
83. |
The
difference in the circumference of 2 circles is a multiple of 6p.
Which of the following statement is/are true?
i ) If the larger circle has a radius that is a multiple
of 3, then the smaller circle cannot have a radius that is multiple
of 3.
ii) If the smaller circle has a radius that is
a multiple of 3, then the larger circle cannot have a radius that
is a multiple of 3.
iii) The smaller circle cannot have a radius that is half the radius of
the larger circle
A.
i and ii only
B.
ii and iii only
C.
iii only
D.
None of them is true
|
| Question
84. |
When
you have an amount > 100 in hand, you deposit 20% of the
amount. When your in hand balance < 80 you withdraw 25%
of in-hand balance. What will be the amount in hand at the end of
the 19th transaction, if you had started with Rs.125
in-hand?
A.
80
B.
100
C.
125
D. 156.25 |
| Question
85. |
Three
years ago, A’s age was 4/5 times B’s age. Six years hence,
the ratio of their ages will be 7:8. Find their present ages.
A.
12,15
B.
15,18
C.
24,27
D.
36,48
|
| Question
86. |
Three
partners inverted capital in the ratio 1:3:7. The time period for
which each of them invested was in a ratio of the reciprocals of the amount
invested. Find the share of the partner who brought in the lowest
capital, if profit is Rs.900.
A.
100
B.
300
C.
81
D.
None of these
|
| Question
87. |
A
bank deposit earns Rs. 1200 interest in the 2nd year and Rs.1380
interest in the third year. How much will it earn in the 4th
year?
A.
1500
B.
1587
C.
1460
D.
1650
|
| Question
88. |
If
13 x2-15x+181 > 3x2-15x+18 then
A.
-3/2<x<3/2
B.
2<x<3
C.
x<2 or x>3
D.
Statement is self-contradictory
|
| |
DIRECTIONS
for question 89 to 92: Refer to the following data.
x 
y = xy/z
z = (x2-y2)/(x+y) |
| Question
89.
|
What is 13 x (30
17) ?
A.
169
B.
510
C.
1620
D.
None of these
|
| Question
90. |
If
739
543 = -(x
739), what is ‘x’ ?
A.
543
B. -543
C. 196
D. -196
|
| Question
91. |
If
a
b is a natural number and either ‘a’ is odd and
‘b’ even or vice-versa, which of the following is true?
A.
a
b is always even
B.
a
b is always odd
C.
a
b could be either even or odd
D.
a
b is odd if a>b
|
| Question
92. |
If
‘a’ and ‘b’ are both even, then a
b will always be
A.
always even
B.
either even or odd
C.
always odd
D.
none of these
|
| |
DIRECTIONS
for questions 93 to 95: Choose the correct option |
| Question
93. |
A
train 170 m long is moving at 72km/hr. If it does not halt at Chinchpokli
station whose platform is 150 m long, how long will it take to cross the
platform?
A.
10 sec
B.
18 sec
C.
16 sec
D.
24 sec
|
| Question
94. |
In
an election between 2 candidates, 80% of the population cast their votes.
The losing candidate secured votes from 24% of the population .
If he lost by 15,000 votes, how much did the winner poll?
A.
25,000
B.
26,250
C.
25,750
D.
28,000
|
| Question
95. |
A
number is multiplied by 7, and then seven is added to the product.
If on dividing by 19, we get the quotient as a natural number, the smallest
such number is
A.
7
B.
18
C.
19
D.
20
|
| |
answers
scores next |