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1. A salesman sells two kinds of trousers: cotton and
woollen. A pair of cotton trousers is sold at
30% profit and a pair of woollen trousers is sold at 50% profit. The
salesman has calculated that if he sells 100% more woollen trousers than cotton
trousers, his overall profit will be 45%.
However he ends up selling 50% more cotton trousers than woollen
trousers. What will be his overall
profit?
A. 37.5%
B. 40%
C. 41%
D. 42.33%
E. None of the above.
Question
Nos. 2-3 are followed by two statements labelled as I and II. You have to
decide if these
statements are sufficient to
conclusively answer the question.
Choose the appropriate answer from options given
below:
A. If Statement I alone is sufficient to
answer the question.
B. If Statement II alone is sufficient to
answer the question.
C. If Statement I and Statement II together
are sufficient but neither of the two alone is sufficient to answer the
question.
D. If either Statement I or Statement II
alone is sufficient to answer the question.
E. Both Statement I or Statement II are insufficient to answer the question.
2.
For each rupee in monthly advertising
expenditure, KUMAR & Co.
experiences a Rs. 6 increase in sales. How much KUMAR & Co.
has to spend on advertising to attain Rs. 1000000 in sales revenue for the month?
I. Without advertising KUMAR & Co.
earns Rs. 200000 sales revenue per month.
II. When KUMAR & Co. spends Rs. 15000
on advertising, it earns Rs. 290000 as sales revenue.
3.
Geetangali Express, which is 250 metre long when moving form Howrah to
Tatanagar crosses Subarnarekha bridge in 30 seconds. What is the speed of
Geetanjali Express?
I. Bombay Mail, which runs at 60 km/hour,
crosses the Subarnarekha bridge in 30 seconds.
II. Bombay Mail, which running at 90 km/hr
crosses a lamp post in 10 seconds.
4. Rajesh walks to and fro to a shopping mall. He
spends 30 minutes shopping. If he walks at speed of 10 km an hour, he returns
to home at 19.00 hours. If he walks at 15 km an hour, he returns to home at 18.30 hours. How fast must
he walk in order to return home at 18.15 hours?
A. 17 km/hour
B. 17.5 km/hour
C. 18 km/hour
D. 19 km/hour
E. None of the above.
5. Given five points A = (7, 4), B = (−10, 0), C = (−10, 3), D = (0, 10)
and E = (7, 7). Every second all the
points move by halving
their abscissas and by doubling
their ordinates. This process continues for 500 years. After 500 years, which
two points are closest?
A. A and B
B. B and C
C. A and E
D. D and E
E. A and C
6. Two teams Arrogant and
Overconfident are participating
in a cricket tournament. The odds that team Arrogant will be champion is 5
to 3, and that Overconfident will be the champion is 1 to 4. What are the odds that either team Arrogant
or team Overconfident will become the
champion?
A. 3 to 2
B. 5 to 2
C. 6 to 1
D. 7 to 3
E. 9 to 1
7. A rural child specialist has to
determine the weight of five
children of different ages. He
knows from his past experience
that each of the children would
weigh less than 30 Kg and each of
them would have different
weights. Unfortunately, the scale
available in the village can measure weight only over 30
Kg. The doctor decides to weigh the
children in pairs. However his new assistant weighed the
children without noting down the names. The weights were: 35, 36, 37, 39, 40, 41, 42, 45, 46 and
47 Kg. The weight of the lightest child is:
A. 15 Kg.
B. 16 Kg.
C. 17 Kg.
D. 18 Kg.
E. 20 Kg.
8. Sangeeta and Swati bought two wristwatches from Jamshedpur Electronics
at 11.40 A.M. IST. After purchasing they
found that when 60 minutes elapses on a correct clock (IST), Sangeeta’s wristwatch
registers 62 minutes whereas Swati’s wristwatch registers 56 minutes. Later in
the day Sangeeta’s wristwatch reads 10
P.M., then the time on Swati’s wristwatch is:
A. 8:40 PM
B. 9:00 PM
C. 9:20 PM
D. 9:40 PM
E. Cannot be calculated.
9. F(x) is a fourth order polynomial with integer coefficients and no
common factor. The roots of F(x) are −2,
−1, 1, 2. If p is a prime number than 97, then the largest integer that divides
F(p) for all values of p is:
A. 72
B. 120
C. 240
D. 360
E. None of the above
10. ABCD is a square with sides of length 10 units. OCD is an isosceles
triangle with base CD. OC cuts AB at
point Q and OD cuts AB at point P. The area of trapezoid PQCD is 80 square units. The altitude from O of the triangle
OPQ is:
A. 12
B. 13
C. 14
D. 15
E. None of the above.
11. How many differently
shaped triangles exist in which
no two sides are of the same length, each side is of integral unit length and the
perimeter of the triangle is less than 14 units?
A. 3
B. 4
C. 5
D. 6
E. None of the above.
12. Company BELIANCE hosted a party
for 8 members of Company
AXIAL. In the party no member of AXIAL had interacted with more than
three members of BELIANCE. Out of all
the members of BELIANCE, three members – each interacted with four
members of AXIAL and the remaining
members – each interacted with
two members of AXIAL. The
greatest possible number of
company BELIANCE in the party is
A. 9
B. 10
C. 11
D. 12
E. None of the above.
13. Let X be a four digit number with exactly three consecutive digits
being same and is a multiple of 9. How many such X’s are possible?
A. 12
B. 16
C. 19
D. 21
E. None of the above.
Questions 14-15
A police inspector spots a thief standing 7 kms away from him on a straight
road aligned in East- West direction. The inspector is standing on the eastern
side while the thief is on the western side
of the road. On spotting the
inspector the thief takes his
bicycle and tries to cut across the
adjoining field by riding away
with a uniform speed of 9√2 km/hour in a
direction making an angle of 45° with the road towards
North-East. The inspector starts with his scooter at the same instance to move
with a uniform velocity15 km/hour and catches the thief.
14. Time taken by the inspector to catch the thief is:
A. 12 minutes
B. 15 minutes
C. 18 minutes
D. 20 minutes
E. 30 minutes
15. The distance the inspector has to travel is:
A. 3 km
B. 3.75 km
C. 5 km
D. 6 km
E. 7.5 km
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Answers
1(b) 2(d)
3(c) 4(e) 5(e) 6(d)
7(b) 8(b) 9(d)
10(d) 11(c) 12(a)
13(e) 14(d) 15(c)