Quant Test 84
1. The remainder, when (1523+ 2323) is divided by 19, is
4
15
0
18
10
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2. If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/ hr, he will arrive at the same place at 11 a.m. At
what speed must he cycle to get there at noon?
11 Km/hr
12 Km/hr
13 Km/hr
14 Km/hr
15 Km/hr
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3. If f (x) = x3 -4x + p, and f(0) and f(l) are of opposite signs, then which of the following is necessarily true?
-1 < p < 2
0 < p < 3
–2 < p < 1
-3 < p < 0
None of these
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4. If the sum of the first 11 terms of an arithmetic progression equals that of the first l9 terms, then what is the sum of the first 30 terms?
0
-1
1
2
Not Unique
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5. Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far
apart are they (in kms) one minute before they collide?
1/12
1/6
1/3
1/2
1/4
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6. The total number of integer pairs (x, y) satisfying the equation x + y = xy is
0
1
2
3
None of these
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7. The number of non-negative real roots of 2x - x - 1 = 0 equals
0
1
2
3
None of these
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8. In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same
point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner
maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest