MCQs GATE Instrumentation Engineering

1. Raju has 14 currency notes in his pocket consisting of only ₹ 20 notes and ₹ 10 notes. The total money value of the notes is ₹ 230. The number of ₹ 10 notes that Raju has is
(a) 5                                       
(b) 6
(c) 9                                       
(d) 10
Ans. (a)
2. One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them.
Which one of the following statements best sums up the meaning of the above passage?
(a) Through regimentation was the main reason for the efficiency of the Roman legions even in adverse circumstances.
(b) The legions were treated inhumanly as if the men were animals.
(c) Discipline was the armies’ inheritance from their seniors.
(d) The harsh discipline to which the legions were subjected to led to the odds and conditions being against them .
Ans. (a)
3. A and B are friends. They decided to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is
(a) 1/4                                   
(b) 1/16
(c) 7/16                                 
(d) 9/16
Ans. (c)
4. There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is
(a) 2                                       
(b) 3
(c) 4                                       
(d) 8
Ans. (a)
5. Which one of the following options is the closest in meaning to the word given below?
Lattitude
(a) Eligibility
(b) Freedom
(c) Coercion
(d) Meticulousness
Ans. (b)
6. Choose the most appropriate word from the options given below to complete the following sentence:
Given the seriousness of the situation that he had to face, his ___________was impressive.
(a) beggary
(b) nomenclature
(c) jealousy
(d) nonchalance
Ans. (d)
7. Choose the most appropriate alternative from the options given below to complete the following sentence:
If the tired soldier wanted to lie down, he ______the mattress out on the balcony.
(a) should take
(b) shall take
(c) should have taken
(d) will have taken
Ans. (c)
8. One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is INCORRECT?
 I requested that he should be given the driving test today instead of tomorrow.
(a) requested that
(b) should be given
(c) the driving test
(d) instead of tomorrow
Ans. (b)
9. The translation S of the spot of laser light on the photo detector when a force of F=1 N
Is applied to the cantilever is
(a) 1mm                                               
(b) 3 mm
(c) 6 mm                               
(d) 12 mm
Ans. (b)
10. A double convex lens is used to couple a laser beam of diameter 5 mm into an optical fiber with a numerical aperture of 0.5. The minimum focal length of the lens that should be used in order to focus the entire beam into the fiber is
(a) 1.44 mm                         
(b) 2.50 mm
(c) 4.33 mm                         
(d) 5.00 mm
Ans. (b)
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