Quant Test 51
1. How many integers exist such that not only are they multiples of 20082008 but also are factors of
20082020?
12
481
587
2008^(12)
637
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2. Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y –
z)2?
25
9
36
1
49
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3. Given that f(0) = 0, f(1) = 1 and f(2) = 1. If f(n) = f(n+1) – f(n–1), then find the value of
(f(8) - f(7) + f(5))/(f(7) - f(6) - f(4))
.
13/5
9/2
16/5
16/7
13/2
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4. Mr. X bought 10 identical chocolates. He ate 2 chocolates and sold the remaining 8 chocolates for Rs.60 making a net profit of 32%. Find the profit
percent had he eaten 6 chocolates and sold the remaining 4 chocolates for Rs.48.
4.8%
5.6%
6.4%
7.2%
6.8%
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5. Three positive real numbers ‘x’, ‘y’ and ‘z’ exist such that they are in an arithmetic progression and the product of x, y and z is 25. If the common
difference of the arithmetic progression is 2 sqrt(5), then find the value of (x + y + z).
10 + 2sqrt(5)
15
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8 + 4sqrt(5)
20
10
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6. ‘S’ denotes the sum to infinity and ‘Sn’ denotes the sum to ‘n’ terms of the series 1 + 4/5 + 16/25 + ...+ If S - Sn < 5/2.
then the least value of ‘n’ is
2
3
4
5
6
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7. Two wheels of diameters 7 cm and 14 cm start rolling simultaneously towards each other from two points which are 1990.5 cm apart. Both wheels
make the same number of revolutions per second. If both the wheels meet (touch externally) after 10 seconds, then what is the speed of the
smaller wheel?
132 cm/sec
66 cm/sec
44 cm/sec
22 cm/sec
67 cm/sec
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