Quant Test 49
1. How many different points in the X-Y plane are at a distance of 5 units from the origin and have co-ordinates (a, b), where ‘a’ and ‘b’ are integers?
6
8
10
12
16
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2. S is a set of triangles such that no two triangles in S are similar, all triangles in S are having angles in integral degrees. What is the maximum
possible number of different isosceles triangles in S?
88
89
90
91
92
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3. A rectangle with perimeter 88 m is partitioned into 5 congruent rectangles, as indicated in the diagram given below. Find the perimeter of each of
the congruent rectangles.
20 m
32 m
48 m
96 m
40 m
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4. Srinivas was able to find the two natural numbers, both greater than one as soon as their product was told to him. There is no other piece of
information that was given to him. If the product of the two natural numbers is greater than 40, then which of the following could be the product of
the two numbers?
48
55
60
63
42
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5. A trapezium DEFG is circumscribed about a circle that has centre C and radius 2 cm. If DE = 3 cm and the measure of ∠DEF=∠EFG=90°, then find the
area of trapezium DEFG.
18
16
15
12
20
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6. The total number of dogs in a colony is a composite number less than 200. The ratio of the number of dogs which are Pomeranian, to those who
are not, could be
100 : 49
102 : 55
87 : 76
94 : 85
86 : 101
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7. A trader used to make 5% profit on an item selling at usual marked price. One day, he trebled the marked price of the item and finally offered a
discount of 30%. Find the percentage profit he made on the item that day.
120.5%
100%
99.5%
94.5%
None