Quant Test 97
1. In the figure shown below, O is the center of a circle with radius 10 cm. A line AB passes through the point M which lies on the circle. With M as the
centre and AM as the radius, a semicircle ATB is drawn. If AT is a tangent to the circle at point T, then find the length of BS.
5 sqrt(3)cm
8 sqrt(3)cm
12 cm
10 cm
8 cm
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2. A pond is inhabited by only four types of fishes, namely A, B, C and D. There are 25 percent more fishes of type A than type C, 10 percent fewer
fishes of type B than type A, and 20 percent of the fishes are of type D. If there are 144 fishes of type B, then how many fishes are there in the
pond?
407
540
532
601
600
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3. For how many values of (P – Q), the following equations have a common integral root?
x2 – Px – Q = 1
x2 – Qx + P – 2Q = 10
(here, P and Q are integers and P > Q)
(1) 1 (2) 2 (3) 3 (4) 4 (5) 6
1
2
3
4
6
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4. PQRS is a square and T is point that lies in the same plane but outside the square. If areas of DTPQ, DTQR and DTRS are 2 cm2, 3 cm2 and 4 cm2
respectively, then what can be the possible area of DTPS?
6
9
4
1
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Directions for Questions from 5 to 8:
Each question is followed by two statements, A and B. Answer each
question using the following instructions:
Mark (1) If the question can be answered by using the statement A alone but not by using the statement B alone.
Mark (2) If the question can be answered by using the statement B alone but not by using the statement A alone.
Mark (3) If the question can be answered by using either of the statements alone.
Mark (4) If the question can be answered by using both the statements together but not by either of the statements alone.
Mark (5) If the question cannot be answered on the basis of the two statements.
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