GATE Practice Question and Answer
8Q: What is the value of a two–digit number? A. The sum of the digits is 15. B. The difference of the squares of the digits is 45. C. The difference of their digits is 3. 1967 05b5cc6a6e4d2b4197774cdde
5b5cc6a6e4d2b4197774cdde- 1B and C together are sufficientfalse
- 2Any one pair of A and B, B and C or C and A is sufficienttrue
- 3C and A together are sufficientfalse
- 4A and B together are sufficientfalse
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Answer : 2. "Any one pair of A and B, B and C or C and A is sufficient"
Explanation :
Answer: B) Any one pair of A and B, B and C or C and A is sufficient Explanation: From the given data, Let the two gits of a number be x & y A) x + y = 15 B) x2 - y2 = 45 (x+y) (x - y) = 45 C) x - y = 3 From any 2 of the given 3 statements, we can find that 2 digit number as 2x = 18 => x = 9 => y = 6 Hence, 2 digit number is 96. Any one pair of A and B, B and C or C and A is sufficient to find.
Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ? 1967 05b5cc764e4d2b4197774fd7b
5b5cc764e4d2b4197774fd7b- 12/3false
- 21/2true
- 37/8false
- 44/5false
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Answer : 2. "1/2"
Explanation :
Answer: B) 1/2 Explanation: Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18 Multiples of 5 below 20 are 5, 10, 15, 20 Required number of possibilities = 10Total number of possibilities = 20Required probability = 10/20 = 1/2.
Q: On retirement, a woman gets Rs. 1,45,440 of her provident fund which she invests in a scheme at 20% per annum. Her monthly income from this scheme will be 1966 05b5cc6a2e4d2b4197774cb9e
5b5cc6a2e4d2b4197774cb9e- 1Rs. 2550false
- 2Rs. 2424true
- 3Rs. 2224false
- 4Rs. 2380false
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Answer : 2. "Rs. 2424"
Explanation :
Answer: B) Rs. 2424 Explanation: Now, the principal amount P = Rs. 1,45,440 Rate of interest R = 20%/annum Now monthly income I = PTR/100 = 1,45,440 x 20 x 1/100 x 12 = 2908800/1200 = Rs. 2424. Hence, her monthly income = Rs. 2424.
Q: What belongs to you but is used more by others? 1965 05b5cc63de4d2b4197774bb14
5b5cc63de4d2b4197774bb14- 1Clothesfalse
- 2Cosmeticsfalse
- 3Shoesfalse
- 4Nametrue
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Answer : 4. "Name"
Explanation :
Answer: D) Name Explanation: Yep! It's your NAME that belongs to you but is used more by others than you.
Q: Who has become the first batsman to score three double tons in One Day Internationals? 1965 05b5cc6bae4d2b4197774d7c1
5b5cc6bae4d2b4197774d7c1- 1Virat Kohlifalse
- 2AB de Villiersfalse
- 3Chris Gaylefalse
- 4Rohith Sharmatrue
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Answer : 4. "Rohith Sharma"
Explanation :
Answer: D) Rohith Sharma Explanation:
Q: Fill in the blanks with the appropriate words. Countries which _________ still undergoing the economic processes_________ known as developing countries. 1964 05b5cc745e4d2b4197774fa4f
5b5cc745e4d2b4197774fa4f- 1are, aretrue
- 2are, isfalse
- 3is, arefalse
- 4were, arefalse
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Answer : 1. "are, are"
Explanation :
Answer: A) are, are Explanation:
Q: Grey Revolution is associated with 1962 05b5cc6b4e4d2b4197774d4c0
5b5cc6b4e4d2b4197774d4c0- 1Cottonfalse
- 2Fruitsfalse
- 3Fertilizerstrue
- 4Oil seedsfalse
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Answer : 3. "Fertilizers"
Explanation :
Answer: C) Fertilizers Explanation: Grey Revolution is associated with Fertilizers. Cotton - Silver fiber Revolution Fruits - Golden Revolution Oil seeds - Yellow Revolution
Q: P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days? 1961 05b5cc6bde4d2b4197774d910
5b5cc6bde4d2b4197774d910- 116 daysfalse
- 213 daystrue
- 315 daysfalse
- 412 daysfalse
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Answer : 2. "13 days"
Explanation :
Answer: B) 13 days Explanation: Ratio of times taken by P & Q = 100 : 130 = 10:13 Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10 P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.