Aspire Systems Sample Aptitude Questions and Answers

Q1 Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is

Q2 A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs 4000 each year?

Q3 What is the speed of the train?

I.The train crosses a signal pole in 18 seconds.

II.The train crosses a platform of equal length in 36 seconds.

III.Length of the train is 330 meters.

Q4 Danielle has been visiting friends in Ridge-wood for the past two weeks. She is leaving tomorrow morning and her flight is very early. Most of her friends live fairly close to the airport. Madison lives ten miles away. Frances lives five miles away, Samantha, seven miles. Alexis is farther away than Frances, but closer than Samantha. Approximately how far away from the airport is Alexis?

Q5 The age of the father 10 years ago was thrice the age of his son. Ten years hence, the father's age will be twice that of his son. The ratio of their present ages is:

Q6 Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

Q7 The average marks of a class of 90 students is 126. Out Of them, 4 scores zero, first 60 students scored an average of 116, next 24 scored an average of 118. What is the mark obtained by the remaining student in the class?

Q8 A runs 1 1/3 ("Mixed fraction) as fast as B. If A gives B a start of 30 metres. How far must be the winning post, so that the race ends in a dead heat?

Q9 A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

Q10 A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

Q11 A 25 m long wire is cut into 3 pieces. How long is the longest piece?

I. Two pieces are each 1 m shorter than the longest piece

II.Two pieces of the wire are of the same length

III.The longest piece of the wire is 12.5% more than the smallest piece.

Q12 Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.

Q13 In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?

Q14 In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

Q15 The cost price of 40 articles is the same as the selling price of 25 articles. Find the gain per cent.

Q16 Rejoice: Exult::Charlatan:?

Q17 A man standing at point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

Q18 The office building needs repairing just as urgently as it needs internal as well as external painting.

Assumptions:

1. Efficiency of people working in the office cannot be improved unless office building is repaired
   
2. Repairing and painting of office building require funds

Q19 In a certain code language, 'kew xas huma deko' means 'she is eating apples kew tepo qua' means 'she sells toys' and 'sul lim deko' means 'I like apples' Which word in that language means 'she' and 'apples'?

Q20 Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle. How is the boy related to the girl?

Q21 Statement: Should shifting agriculture be practiced?

Arguments:

I.No.it is a wasteful practice?

II.Yes. Modern methods of farming are too expensive.

Q22 Four friends in the sixth grade were sharing a pizza. They decided that the oldest friend would get the extra piece. Randy is two months older than Greg, who is three months younger than Ned. Kent is one month older than Greg. Who should get the extra piece of pizza?

Q23 Three of the following four numbers are alike in a certain way and one is different. Pick the number that is different from the rest

Q24 Odd one out:
1196, 169, 144, 121, 100, 80, 64

Q25 To reach his school, Ritesh started from his house and walked 10 km towards the south. He then took a right turn and walked 5 km and finally took a left turn. After walking for 7 km, he finally reached his school. In which direction is Ritesh's house from his school?

Q26 Find the synonym of the word:
DEBACLE

Q27 Reentry occurs when a person leaves his or her social system for a period of time and then returns. Which situation below best describes Reentry?

Q28 It was an extremely pleasant surprise for the hutment-dweller when the Government officials told him that.....

Q29 Nita ordered her servant to bring her cup of tea.

Q30 He said to her, "May you succeed!"