GATE Practice Question and Answer
8Q: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is : 2457 05b5cc6e7e4d2b4197774ed88
5b5cc6e7e4d2b4197774ed88- 1Rs. 560false
- 2Rs. 530false
- 3Rs. 500true
- 4Rs. 514false
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Answer : 3. "Rs. 500"
Explanation :
Answer: C) Rs. 500 Explanation: 110% of S.P. = Rs. 616 S.P. = (616 x 100)/110 = Rs. 560 C.P = (110 x 560)/112 = Rs. 500
Q: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days what is time taken by 15 men and 20 boys? 2455 05b5cc6b9e4d2b4197774d72a
5b5cc6b9e4d2b4197774d72a- 14 daystrue
- 26 daysfalse
- 37 daysfalse
- 45 daysfalse
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Answer : 1. "4 days"
Explanation :
Answer: A) 4 days Explanation: Given that 6 men and 8 boys can do a piece of work in 10 days 26 men and 48 boys can do the same in 2 days As the work done is equal, 10(6M + 8B) = 2(26M + 48B) 60M + 80B = 52M + 96B => M = 2B => B = M/2 ……(1) Now Put (1) in 15M + 20B => 15M + 10M = 25M Now, 6M + 8B in 10 days => (6M + 4M) 10 = 100M Then D(25M) = 100M => D = 4 days.
Q: Which country shares the longest border with China? 2455 05b5cc62ce4d2b4197774b917
5b5cc62ce4d2b4197774b917- 1Indiafalse
- 2Russiafalse
- 3Mongoliatrue
- 4Kazakhstanfalse
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Answer : 3. "Mongolia"
Explanation :
Answer: C) Mongolia Explanation: China shares land borders with 14 different countries, the longest being with Mongolia followed by Russia and then India.
Q: According to experts what percentage of trash is recyclable? 2453 05b5cc68ee4d2b4197774c3ea
5b5cc68ee4d2b4197774c3ea- 116%false
- 236%false
- 372%false
- 490%true
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Answer : 4. "90%"
Explanation :
Answer: D) 90% Explanation:
Q: Rohith Agarwal has three children--- Lila, Visal and Avinash. Avinash married Monika, the eldest daughter of Mr. and Mrs. Roy. The Roys married their youngest daughter to the eldest son of Mr. and Mrs. Sharma, and they had two children named Amit and Shashi. The Roys have two more children, Roshan and Vandana, Both elder to Veena. Sanketh and Yashwanth are sons of Avinash and Monika. Rashmi is the daughter of Amit. 1) How is Veena related to Rashmi ? (a)Aunt (b)Niece (c)Sister (d)Grand mother 2) How is Vishal related to Vandana ? (a)Brother (b)Brother-in-law (c)Cousin (d)Nephew 3) What is the surname of Yashwanth ? (a)Sharma (b)Roy (c)Agarwal (d)None 2451 05b5cc758e4d2b4197774fbe4
5b5cc758e4d2b4197774fbe4- Show AnswerHide Answer
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Answer :
Explanation :
Answer 1) dRashmi is the daughter of Amit who is son of Veena.Therefore, Veena is Grand mother of Rashmi. Answer 2) bVandana's sister is Vishal's brother's wife.Therfore, Vishal is Vandana's Brother-in-law. Answer 3) cYashwanth is son of Avinash who is the son of Rohit Agarwal.Therefore, surname of Yashwanth is Agarwal.
Q: A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 2450 05b5cc7d0e4d2b41977751213
5b5cc7d0e4d2b41977751213- 135/96false
- 219/90true
- 319/96false
- 4None of thesefalse
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Answer : 2. "19/90"
Explanation :
Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore Probability of choosing A = 2C19C1×1C110C1 = 1/45 Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability = 145+145+110+115= 1990
Q: Who is known as the Father of Geometry? 2449 05b5cc6a0e4d2b4197774ca4c
5b5cc6a0e4d2b4197774ca4c- 1Aryabhatafalse
- 2Thales of Miletusfalse
- 3Pythagoras of Samosfalse
- 4Euclidtrue
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Answer : 4. "Euclid"
Explanation :
Answer: D) Euclid Explanation: Euclid of Alexandria was a Greek mathematician, often referred to as the Father of Geometry.
Q: 6 boys and 8 girls can do job in 10 days , 26 boys & 48 women do work in 2 days. Find time taken by 15 boys and 20 girls to do same work ? 2449 05b5cc74ae4d2b4197774fadb
5b5cc74ae4d2b4197774fadb- 12 daysfalse
- 23 daysfalse
- 34 daystrue
- 45 daysfalse
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Answer : 3. "4 days"
Explanation :
Answer: C) 4 days Explanation: One day work of 6 boys and 8 girls is given as 6b + 8g = 1/10 -------->(I) One day work of 26 boys and 48 women is given as 26b + 48w = 1/2 -------->(II) Divide both sides by 2 in (I) and then multiply both sides by 5 Now we get, 15b + 20g = 1/4. Therefore, 15 boys and 20 girls can do the same work in 4 days.