Quant Test 61
1. On January 1, 2004 two new societies, S1, and S2, are formed, each with n members. On the first day of each subsequent month, S1 adds b
members while S2 multiplies its current number of members by a constant factor r. Both the societies have the same number of members on July 2,
2004. If b = 10.5n, what is the value of r?
2.0
1.9
1.8
1.7
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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
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3. If the sum of the first 11 terms of an arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms?
0
-1
1
Not Unique
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4. N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-
minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N?
5
7
9
4
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5. Karan and Arjun run a 100-metre race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting
line in a second 100-metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?
Karan and Arjun reach the finishing line simultaneously.
Arjun beats Karan by 1 metre.
Arjun beats Karan by 11 metres.
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Karan beats Arjun by 1 metre.
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6. A milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the
quantity that he has sold. What