**Graduate Aptitude Test in Engineering**

**Date: 3rd Feb 2019**

**General Aptitude (GA)**

Q.1 – Q.5 Carry ONE mark each.

Q. 6 – Q. 10 Carry TWO marks each.

**Q 1. The expenditure on the project _____ as follows: equipment Rs.20 lakhs, salaries Rs.12 lakhs, and contingency Rs.3 lakhs.**

(A) break down

(B) break

(C) breaks down

(D) breaks

Ans: (C) Breaks down

**Q 2. The search engine’s business model ___________ around the fulcrum of trust.**

(A) revolves

(B) plays

(C) sinks

(D) bursts

Ans: (A) Revolves

**Q 3. Two cars start at the same time from the same location and go in the same direction. The speed of the first car is 50 km/h and the speed of the second car is 60 km/h. The number of hours it takes for the distance between the two cars to be 20 km is ___.**

(A) 1

(B) 2

(C) 3

(D) 6

Ans: (B) 2

Solution: Let the required distance be reached at time T.

Let Speed be (S1=60,S2=50)

According to the Question , D1−D2=20

∴(60∗T)−(50∗T)=20

10 T = 20

T = 2

**Q 4. Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs 150 more. The cost of the gift was Rs. ____.**

(A) 666

(B) 3000

(C) 6000

(D)12000

Ans: (C) 6000

Solution: Let us suppose each of the 10 friends were supposed to contribute Rs x.

Hence total cost for gift =Rs 10x.

Now since 2 friends won’t contribute , hence 8 friends would have to contribute (x+150) each.

By the sum, 10x= 8 (x + 150)

10 x =8x+1200

2x=1200

x=600

Hence total cost of the gift =10x=Rs. 6000

**Q 5. A court is to a judge as _____________ is to a teacher.**

(A) a student

(B) a punishment

(C) a syllabus

(D) a school

Ans: (D) A school

Solution: Judges are in Courts, Teachers are in schools

**Q 6. The police arrested four criminals – P, Q, R and S. The criminals knew each other. They made the following statements:**

**P says, “Q committed the crime.”**

**Q says “S committed the crime.”**

**R says, “I did not do it.”**

**S says, “What Q said about me is false.”**

**Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?**

(A) P

(B) R

(C) S

(D) Q

Ans: (B) R

Solution: Assuming S is saying the truth.

P says Q committed the crime (FALSE) means Q has not

Q says S committed the crime(FALSE) means S has not

R says I did not (FALSE) means R has committed the crime.

**Q 7. In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the percentage of administrators shall be in the range of ___________.**

(A) 0 to 15

(B) 16 to 30

(C) 31 to 45

(D) 46 to 60

Ans: (C) 31-45

**Solution** No of administrator =10+20+20=50

Total no of person =80+20+20+40=160

Required %=(50/160)∗100=31.25%

**Q 8. “A recent High Court judgement has sought to dispel the idea of begging as a disease — which leads to its stigmatization and criminalization — and to regard it as a symptom. The underlying disease is the failure of the state to protect citizens who fall through the social security net.”**

**Which one of the following statements can be inferred from the given passage?**

(A) Beggars are lazy people who beg because they are unwilling to work

(B) Beggars are created because of the lack of social welfare schemes

(C) Begging is an offence that has to be dealt with firmly

(D) Begging has to be banned because it adversely affects the welfare of the state

Ans: (B) Beggars are created because of the lack of social welfare schemes

**Q 9. In a college, there are three student clubs. Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is _____.**

(A) 1000

(B) 975

(C) 900

(D) 225

Ans: (C) 900

**Solution:**

P(A∪B∪C)=P(A)+P(B)+P(C)−P(A∩B)−P(B∩C)−P(C∩A)+P(A∩B∩C)

P(A∪B∪C)=60+80+30+(40−2)+(12−2)+(7−2)+2=225

This is just 25% of the total no of students since 75% do not belong to any club.

So, total number of students=225 X 25%=225×4=900.

**Q 10. Three of the five students allocated to a hostel put in special requests to the warden. Given the floor plan of the vacant rooms, select the allocation plan that will accommodate all their requests. Request by X: Due to pollen allergy, I want to avoid a wing next to the garden. Request by Y: I want to live as far from the washrooms as possible, since I am very sensitive to smell. Request by Z: I believe in Vaastu and so want to stay in the South-west wing. The shaded rooms are already occupied. WR is washroom.**

Ans: (D)