Question Paper Gate Mathematics

1. An apple costs Rs. 10. An onion costs Rs. 8. Select the most suitable sentence with respect to grammar and usage.
(a) The price of an apple is greater than an onion
(b) The price of an apple is more than onion
(c) The price of an apple is greater than that of an onion
(d) Apples are more costlier than onions               
Ans. (c)
2. The Buddha said, “Holding on to anger is like grasping a hot coal with the intent of throwing it at  someone else; you are the one who gets burnt.” Select the word below which is closest in meaning to the word underlined above.
(a) burning                                      
(b) igniting
(c) clutching                                  
(d) flinging                                                     
Ans. (c)
3. M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in- law of M. How is P related to M?
(a) P is the son-in-law of M
(b) P is the grandchild of M
(c) P is the daughter-in-law of M
(d) P is the grandfather of M                         
Ans. (b)
4. The number that least fits this set : (324, 442, 97 and 64) is_________.
(a) 324                                              
(b) 441
(c) 97                                                
(d) 64                                                           
Ans. (c)
5. It takes 10 s and 15s, respectively, for two trains travelling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the second train is 150m. The magnitude of the difference in the speeds of the trains (in m/s) is ___________.
(a) 2.0                                 
(b) 10.0
(c) 12.0                                  
(d) 22.0                                                                              
Ans. (a)     
6. The overwhelming number of people infected with rabies in India has been Flagged by the World health Organization that as a source of concern. It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies. Which of the following can be logically inferred from the above sentences?
(a) The number of people India in infected with rabies is high
(b) The number of people in other parts of the world who are infected with rabies is low
(c) Rabies can be eradicated in India by vaccinating 70% of stray dogs
(d) Stray dogs are the main source of rabies worldwide                                           
Ans. (a)
7. A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat?
(a) Manu
(b) Sravan
(c) Trideep
(d) Pavan               
Ans. (c)
8. Find the area bounded by the lines 3x + 2y = 14, 2x-3y = 5 in the first quadrant.
(a) 14.95
(b) 15.25
(c) 15.70
(d) 20.35                           
Ans. (b)
9. A straight line is fit to a data set (in x,y). This line intercepts the abscissa at in  x = 0.1, and has a slope of – 0.02. What is the value of y at X = 5 from the fit?
(a) -0.030                           
(b) -0.014
(c) 0.014                              
(d) 0.030                                                                    
Ans. (a)
10. Let X1 be an exponential random variable with mean 1 and X2 a gamma random variable with mean 2  and variance 2. If X1and X2 are independently distributed, then P(X12) is equal to _____.
(a) 0.5                   
(b) 0.2                     
(c) 0.4                                
(d) 0.8                  
Ans. (a)
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