ACT: Numerical Aptitude Questions (PracticeTest 1 of 12)
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Let R = qs4. When s = 8, R = 16. When s = 10, R is equal to

11

14

20

21
Answer: d


If 272/3 × 81½ = 3x, the value of x is

1

0

1

2
Answer: b


0.333 × 0.444 is equal to

0.148148148

0.777

0.121212

1.333
Answer: a


A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km/hr more, then it would have taken 2 hours less to cover the same distance. What is the original speed of the car?

45 km/hr

50 km/hr

55 km/hr

65 km/hr
Answer: c


On converting the following base2 numeral in base ten, 1101101, we get

96

104

108

109
Answer: d


The number of prime factors of 6^{10} × 7^{17} × 55^{27}

54

64

81

91
Answer: d


A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25 seconds. The length of the train is

125m

135 m

159 m

175 m
Answer: c


Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps are opened simultaneously and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?

7 min & 15 sec

7 min & 45 sec

8 min & 5 sec

8 min & 15 sec
Answer: d


The milk and water in two vessels A and B are in the ratio 4: 3 and 2: 3 respectively. In what ratio, the liquids be mixed in both the vessels so that the new liquid contains half milk and half water?

7: 5

1: 2

2: 1

6: 5
Answer: a
