Thursday, September 5, 2013

Gate Previous year aptitude questions







 GATE   STUFF
















Hi all,

Please find the previous year gate aptitude questions below.

1. In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41°C and of Tuesday to Thursday was 43°C. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was
(A) 40 (B) 43 (C) 46 (D) 49

2.         Abhishek is elder to Savar.
Savar is younger to Anshul.
Which of the given conclusions is logically valid and is inferred from the above
statements?
(A) Abhishek is elder to Anshul                                  (B) Anshul is elder to Abhishek
(C) Abhishek and Anshul are of the same age (D) No conclusion follows

3. A firm is selling its product at Rs. 60 per unit. The total cost of production is Rs. 100 and firm is earning total profit of Rs. 500. Later, the total cost increased by 30%. By what percentage the price should be increased to maintained the same profit level.
(A) 5 (B) 10 (C) 15 (D) 30




7. A number is as much greater than 75 as it is smaller than 117. The number is:
(A) 91 (B) 93 (C) 89 (D) 96

8.Velocity of an object fired directly in upward direction is given by V= 80 – 32t ,where t (time) is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?
(A) (1, 3/2) (B) (1/2, 1) (C) (1/2, 3/2) (D) (1, 3)

9. In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by M2?                
(A) 0.35 (B) 0.45 (C) 0.5 (D) 0.4
Which two countries contributed to the one third of the total number of tourists who visited India in 2011?
(A) USA and Japan (B) USA and Australia  (C) England and France(D) Japan and Australia

11.         All professors are researchers
              Some scientists are professors
Which of the given conclusions is logically valid and is inferred from the above arguments:
(A) All scientists are researchers                      (B) All professors are scientists
(C) Some researchers are scientists                  (D) No conclusion follows
14. The arithmetic mean of five different natural numbers is 12. The largest possible value among the numbers is                                                   (A) 12 (B) 40 (C) 50 (D) 60
15. Two policemen, A and B, fire once each at the same time at an escaping convict. The probability that A hits the convict is three times the probability that B hits the convict. If the probability of the convict not getting injured is 0.5, the probability that B hits the convict is
(A) 0.14 (B) 0.22 (C) 0.33 (D) 0.40
16. The total runs scored by four cricketers P, Q, R, and S in years 2009 and 2010 are given in the
following table:
Player
2009
2010
P
802
1008
Q
765
912
R
429
619
S
501
701
The player with the lowest percentage increase in total runs is            (A) P (B) Q (C) R (D) S

17.If a prime number on division by 4 gives a remainder of 1,then that number canbe expressed as
(A) sum of squares of two natural numbers     (B) sum of cubes of two natural numbers
(C) sum of square roots of two natural numbers   (D) sum of cube roots of two natural numbers

18. Two points (4, p) and (0, q) lie on a straight line having a slope of 3/4. The value of (p – q) is
(A) -3 (B) 0 (C) 3 (D) 4

19. Ten teams participate in a tournament. Every team plays each of the other teams twice. The total number of matches to be played is                        (A) 20 (B) 45 (C) 60 (D) 90

20. A value of x that satisfies the equation log x + log (x – 7) = log (x + 11) + log 2 is
(A) 1 (B) 2 (C) 7 (D) 11

21. Let f(x) = x – [x], where x ≥ 0 and [x] is the greatest integer not larger than x. Then f(x) is a
(A) monotonically increasing function            (B) monotonically decreasing function
(C) linearly increasing function between two integers
(D) linearly decreasing function between two integers

22. Ravi is taller than Arun but shorter than Iqbal. Sam is shorter than Ravi. Mohan is shorter than Arun. Balu is taller than Mohan and Sam. The tallest person can be
(A) Mohan (B) Ravi (C) Balu (D) Arun

23. A smuggler has 10 capsules in which five are filled with narcotic drugs and the rest contain the original medicine. All the 10 capsules are mixed in a single box, from which the customs officials picked two capsules at random and tested for the presence of narcotic drugs. The probability that the smuggler will be caught is  (A) 0.50 (B) 0.67 (C) 0.78 (D) 0.82

24. The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost
of erection in Rs. Is     (A) 16,500 (B) 15,180 (C) 11,000 (D) 10,120