31 .
Each interior angle of a regular polygon is 120° greater than each exterior angle. How many sides are there in the polygon?
A.  6
B.  8
C.  12
D.  3
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32 .
In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution, so that the resultant solution has 40% methyl alcohol in it?
A.  1 : 2
B.  2 : 1
C.  1 : 3
D.  3 : 1
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33 .
A, B and C can do a piece of work in 15 days. All three worked for 2 days and then A left. B and C worked for 10 more days and B left. C worked for another 40 days and completed the work. In how many days can A alone complete the work, if C can complete it in 75 days?
A.  30 days
B.  50 days
C.  60 days
D.  40 days
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34 .
A tower standing on a horizontal plain subtends a certain angle at a point 160 m apart from the foot of the tower. On moving 100 m towards the tower, it is found that the subtended angle is now twice as before. What will be twice the length of the height of the tower?
A.  80
B.  160
C.  120
D.  40
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35 .
If $2x^2 + 5 x + 1 \over 5x$ = 3, then $2x \over 2x^2 + 1$ = ?
A.  0.1
B.  0.05
C.  0.2
D.  0.66
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36 .
The average age of a college is 21.8 years. The average age of students of college is 24.2 years and average age of lecturers of college is 20.6 years. Find the ratio of the number of students to that of lecturers?
A.  2 : 1
B.  2 : 3
C.  3 : 2
D.  1 : 2
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37 .
A man and a woman 81 miles apart from each other, start travelling towards each other at the same time. If the man covers 5 m/hr to the women's 4 m/hr, how far would the woman have travelled when they meet?
A.  27 miles
B.  36 miles
C.  45 miles
D.  None of the above
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38 .
Find the total surface area of the pyramid with base length and height be 10 cm and 12 cm respectively
A.  260 $cm^2$
B.  360 $cm^2$
C.  340 $cm^2$
D.  400 $cm^2$
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39 .
If x + $2\over x$ = 1. then $x^2 + x + 2 \over x^2 (1 - x)$ = ?
A.  - 2
B.  - 1
C.  1
D.  2
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40 .
A wheel of a car of radius 21 cm is rotating at 600 RPM. What is the speed of the car in km/hr?
A.  79.2 km/hr
B.  47.52 km/hr
C.  7.92 km/hr
D.  39.6 km/hr
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41 .
Peter invested a certain sum of money on simple interest whose value grew to Rs. 300 at the end of 3 years and to '400 at the end of another 5 years. What was the rate of interest in which he invested his sum?
A.  33.33%
B.  12.5%
C.  8.33%
D.  6.25%
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42 .
I travel the first part of my journey at 40 km/h and the second part at 60 km/h and cover the total distance of 240 km to reach my destination in 5 hr. How long did the first part of my journey last?
A.  4 hr
B.  2 hr
C.  2 hr
D.  2 hr 24 min
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43 .
If $sec q + tan q \over sec q - tan q$ = $5 \over 3$, then sin 6$\sqrt{39}$ is
A.  $3\over 4$
B.  $1 \over 3$
C.  $2 \over 3$
D.  $1 \over 4$
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44 .
A trader buys goods at a 19% discount on the label price. If he wants to make a profit of 20% after allowing a discount of 10%, by what % should his marked price be greater than the original label price?
A.  +8%
B.  -3.8%
C.  +33.33%
D.  None of the above
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45 .
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm is:
A.  15 cm
B.  25 cm
C.  35 cm
D.  42 cm
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