GATE Practice Question and Answer
8Q: A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ? 1159 05b5cc6cfe4d2b4197774e2fe
5b5cc6cfe4d2b4197774e2fe- 13false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job. In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job. So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job. The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour. Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9. The mother takes 9 hours to complete the job.
Q: How can we get 24 as an answer by using 6, 11, 3 and 9? 1159 05b5cc6a9e4d2b4197774cf1e
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Answer :
Explanation :
This can be solved in two ways using only 6, 11, 9 and 3 we must get 24. 1. {[(11–6) x 3] + 9} By solving this we get 5 x 3 + 9 = 15 + 9 = 24. 2. [(9–6) x (11–3)] = 3 x 8 = 24.
Q: A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ? 1159 05b5cc745e4d2b4197774fa13
5b5cc745e4d2b4197774fa13- 113.33 %false
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- 418.75 %true
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Answer : 4. "18.75 %"
Explanation :
Answer: D) 18.75 % Explanation: Given,S.I = 3 Principal Amount=> 3A = A x 16 x R/100By solving, we get => R = 18.75%
Q: When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ? 1156 05b5cc741e4d2b4197774f9b3
5b5cc741e4d2b4197774f9b3- 14false
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Answer : 3. "3"
Explanation :
Answer: C) 3 Explanation: Number = quotient x divisor + remainder;so, herenumber = 138 k + 26=> (23 x 6k) + (23+3)=> 23(6k+1)+3so, remainder is 3.
Q: One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ? 1151 05b5cc6c3e4d2b4197774dc8b
5b5cc6c3e4d2b4197774dc8b- 1550false
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Answer : 4. "700"
Explanation :
Answer: D) 700 Explanation: Let number of boys = B Number of girls = G From the given data, 1B/3 + 1G/2 = 300 But given B/3 = 100 => B = 300 G/2 = 300 - 100 G = 200 x 2 => G = 400 Therefore, total number of students in the college = B + G = 700.
Q: A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was : 1151 05b5cc6dbe4d2b4197774e904
5b5cc6dbe4d2b4197774e904- 1Rs. 15,000true
- 2Rs. 1,50,000false
- 3Rs. 1500false
- 4Rs. 1,62,000false
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Answer : 1. "Rs. 15,000"
Explanation :
Answer: A) Rs. 15,000 Explanation: Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.
Q: Statement : The byproducts obtained from animals such as hairs, skins, horns, etc. contain at least 45 per cent food protein. Indian scientists have developed methods to segregate 50 per cent of this protein. They have used an enzyme developed in Russia for destruction of soya-proteins. Conclusions: A. Indian scientists cannot develop enzymes. B. If a suitable method involving less cost is developed then many more food protein would be obtained. 1149 05b5cc6d6e4d2b4197774e6a7
5b5cc6d6e4d2b4197774e6a7- 1Only A followsfalse
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Answer : 3. "Neither A nor B follows"
Explanation :
Answer: C) Neither A nor B follows Explanation: There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes. So conclusion A does not follow. In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins. Thus, conclusion B does not follow either.
Q: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ? 1148 05b5cc6dfe4d2b4197774eb02
5b5cc6dfe4d2b4197774eb02- 140 daystrue
- 236 daysfalse
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Answer : 1. "40 days"
Explanation :
Answer: A) 40 days Explanation: Let 1 man's 1 day work = x and 1 woman's 1 day work = y.Then, 4x + 6y = 1/8 and 3x + 7y = 1/10Solving these two equations, we get:x = 11/400 and y = 1/40010 woman's 1 day work = (1/400 x 10) = 1/40. Hence, 10 women will complete the work in 40 days.