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# IITKGP GATE 2022 Statistics Question Paper : Indian Institute of Technology Kharagpur

** Organisation **: Indian Institute of Technology Kharagpur

**: Graduate Aptitude Test in Engineering (GATE)**

__Exam Name__**: Statistics**

__Subject__**: 2022**

__Year__**: Previous Years Question Papers**

__Document Type__**: https://gate.iitkgp.ac.in/index.html**

__Website__## IITKGP GATE Exam

The Graduate Aptitude Test in Engineering (GATE) is an examination that primarily tests the comprehensive understanding of various undergraduate subjects in engineering and science for admission into the Masters Program and Recruitment by some Public Sector Companies.

## GATE Statistics Question Paper

**Q.1 Mr. X speaks _________ Japanese _________ Chinese.**

(A) neither / or

(B) either / nor

(C) neither / nor

(D) also / but

*Q.2 A sum of money is to be distributed among P, Q, R, and S in the proportion 5* : 2 : 4 : 3, respectively. If R gets ₹ 1000 more than S, what is the share of Q (in ₹)?

(A) 500

(B) 1000

(C) 1500

(D) 2000

**Q.3 A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm. What is the shortest distance between PQ and SR (in cm)?**

(A) 1.80

(B) 2.40

(C) 4.20

(D) 5.76

**Q.4 The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a “hole in the interior” that can be formed within the 4 × 4 grid using the unit squares as building blocks?**

(A) 15

(B) 20

(C) 21

(D) 26

**Q.5 An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard. If the security guard does not move around the posted location and has a 360o view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can beposted to watch over the entire inner space of the gallery.**

(A) P and Q

(B) Q

(C) Q and S

(D) R and S

**Q.6 Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences. Which one of the following is the correct logical inference based on the information in the above passage?**

(A) Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous

(B) Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects

(C) Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous

(D) Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence

**Q.7 Consider the following inequalities.**

**(i) 2𝑥 − 1 > 7**

**(ii) 2𝑥 − 9 < 1**

**Which one of the following expressions below satisfies the above two inequalities?**

(A) 𝑥 ≤ −4

(B) −4 < 𝑥 ≤ 4

(C) 4 < 𝑥 < 5

(D) 𝑥 ≥ 5

**Q.9 In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.**

** Statement of P**: R has copied in the exam.

**: S has copied in the exam.**

__Statement of Q__**: P did not copy in the exam.**

__Statement of R__**: Only one of us is telling the truth.**

__Statement of S__**: R is telling the truth.**

__Statement of T__The investigating team had authentic information that S never lies. Based on the information given above, the person who has copied in the exam is

(A) R

(B) P

(C) Q

(D) T

## Download GATE Statistics Question Paper

** Download Full GATE Statistics Question Paper Here **:

https://www.pdfquestion.in/uploads/pdf2022/40909.pdf