 # Sample Aptitude Questions of Hughes Systique

1. The Value of is?
1. 2
2. 1/9
3. 19/9
4. 28/9
5. None of these 2. The odds against a certain event are 5 : 2 and the odds in favour of another independent event are 6 : 5. The probability that at least one of the events will happen is:
1. 12/77
2. 25/77
3. 52/77
4. 65/77
5. None of these

Required probability = 1 – P (NO event will happen) = 1 – (5/7 × 5/11) = 52/77.
1. Number of times the hands of a clock are in a straight line (make 180°) every day is
1. 44
2. 24
3. 42
4. 22

In 12 hour, the hands of clock make 180° 11 times, thus total of 22 times in 24 hours.
2. A motor boat can travel at 10 km/h in still water. It traveled 91 km downstream in river and then returned, taking altogether 20 hours. Find the rate of flow of river.
1. 3
2. 5
3. 6
4. 7
5. None of these

Let the rate of flow be y kmph. The equation that will be formed is 91/(10+Y) + 91/(10-Y)=20
Solving we get y = 3.
3. If x^4 +(1/{x^4})=47 find the value of x^3 +(1/{x^3}) is
1. 18
2. 20
3. 22
4. 24
5. None of these 4. A person invests Rs. 5508 in '4% stock at 102'. He afterwards sells out at 105 and reinvests in '5% stock at 126'. What is the change in his income?
1. 20
2. 7
3. 10
4. 9
5. None of these

Old income = 5508/102 × 4 = Rs. 216. No. of shares purchased = 5508/102 = 54. So sale proceeds = (54 × 105) = Rs. 5670.
Therefore, New income = (5670 × 5)/126 = Rs. 225.
So change in income = 225 – 216 = Rs. 9.
5. The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between the measure of their interior angles is 2 : 3. The number of sides of these polygons are respectively
1. 4,8
2. 5,10
3. 6,12
4. 8, 16
5. None of these

Going by options, if the no of sides are 4 and 8, then the interior angles of the polygons is 90deg and 135deg (int angles = 180°(N-2)/N)
Which are in the ratio 2 : 3. So the answer is 1st option.
6. How many two-digit odd numbers can be formed from the digits 1, 2, 3, 4, 5, if repetition of digit is allowed?
1. 5
2. 15
3. 35
4. 25
5. None of these Here unit place can be filled in 3 ways (i.e. 1, 3, 5)
Ten's place can be filled in 5 ways. Required number of numbers = 5 x 3 = 15
7. Three equal glasses are filled with mixtures of sprit and water. The ratio of the sprit to water is as follows: in the first glass as 3 : 4, in the second glass as 4 : 5 and in the third glass as 5 : 6.The contents of the three glasses are emptied into a single vessel. What is the ratio of the sprit to water in the mixture now?
1. 920:1159
2. 820:1149
3. 1120:1134
4. 1010 : 1122
5. None of these

Required Ratio
{(3/7)+(4/9)+(5/11)}/{(4/7)+(5/9)+(6/11)} =920/1159