**HPPSC Aptitude Question Paper Sample Model Paper with Answers.**

Q1 There are 4 boys and 3 girls. What is the probability the boys and girls sit

alternately?

Ans 1/35

Q2 Two trains are 2 kms apart. Speed of one train is 20m/s and the other train is running at

30 m/s . Lengths of the trains are 200 and 300m. In how much time do the trains cross each other?

Ans 50 seconds

Q3 A& B are two players. They need to select one number from 1 to 25. If both the players

select the same numbers they will win the prize. What is the probability of not winning in a single

trial?

Ans 24/25

Q4 Four different integers are in increasing AP such that one number is equal to sum of the

squares of the other three numbers.

Ans –1,0,1,2

Q5 A train runs first half of the distance at 40 km/hr and the remaining half at 60 km/hr.

What is the average speed for the entire journey?

Ans 48km/hr

Q6 In a company there were 75 % skilled employees and the remaining unskilled. 80% of

the skilled and 20% of the unskilled were permanent. If the temporary employees were 126 find the total number of employees.

Ans 360

Q7 A person sells a horse at 12.5% loss. If he sells for 92.5 more, he will have a profit of

6%. What is the CP?

Ans 500

Q8 One tap takes 15 min to fill, another tap takes 12 min to fill and the third tap can empty

in 20 min. In how much time the tank would be full.

Ans 10 min

Q9 Three mixtures of water and milk are in the ratio 6:7, 5:9, 8:7. What would be the ratio

if they were mixed together?

Ans: None of the options were correct. The right answer would be data insufficient.

Q10. Two trains are separated by 200km. One leaves at 6:00 am from Delhi and reaches

Merrut at 10:00 am. Another train leaves from Merrut at 8:00 am and reaches Delhi at 11:30 am. At what time two trains meet each other?

Ans 8:56 am

Q11 If the height of the triangle decreases by 40% and the breadth increases by 40%.

Then the effect on the area is

Ans 16% decrease.

1. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?

Ans. Brand A needed is 24kgs.

2. A wizard named Nepo says “I am only three times my son’s age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old.” How old is Nepo?

Ans. 360 years old.

3. One dog tells the other that there are two dogs in front of me. The other one also shouts that he too had two behind him. How many are they?

Ans. Three.

4. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

Ans. Eight.

5. If it takes five minutes to boil one egg, how long will it take to boil four eggs?

Ans. Five minutes.

6. Three containers A, B and C have volumes a, b, and c respectively; and container A is full of water while the other two are empty. If from container A water is poured into container B which becomes 1/3 full, and into container C which becomes 1/2 full, how much water is left in container A?

7. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?

Ans. AE = 10.

8. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC?

Ans. BC = 4 cm.

9 Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.

Ans. 64/2210.

10. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ?

Ans. 991.

(95.6x 910.3) ÷ 92.56256 = 9?

(A) 13.14

(B) 12.96

(C) 12.43

(D) 13.34

(E) None of these

2. (4 86%of 6500) ÷ 36 =?

(A) 867.8

(B) 792.31

(C) 877.5

(D) 799.83

(E) None of these

3. (12.11)2 + (?)2 = 732.2921

(A)20.2

(B) 24.2

(C)23.1

(D) 19.2

(E) None of these

4.576÷ ? x114=8208

(A)8

(B)7

(C)6

(D)9

(E) None of these

5. (1024—263—233)÷(986—764— 156) =?

(A)9

(B)6

(C)7

(D)8

(E) None of these

6. ?125÷5x ?=6265

(A)1253

(B) 1250

(C)1245

(D) 1550

(E) None of these

7.(42)2÷6.3 x 26 =?

(A)7182

(B) 7269

(C)7260

(D) 7240

(E) None of these

8.384×12×2=?

(A)9024

(B) 9216

(C)6676

(D) 6814

(E) None of these

9.6534÷40÷33=?

(A)3.06

(B) 5.25

(C)4.82

(D) 6.12

(E) None of these

10. ?2704 x ?2209=?

(A)1996

(B)2444

(C)2452

(D)1983

(E)None of these

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