# ACT: Numerical Aptitude Questions (Practice_Test 1 of 12)

Glide to success with Doorsteptutor material for NSO : fully solved questions with step-by-step explanation- practice your way to success.

Let R = qs-4. When s = 8, R = 16. When s = 10, R is equal to

11

14

20

21

Answer: d

If 272/3 × 81-½ = 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 base-2 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