GATE Practice Question and Answer
8Q: Three men, four women and six children can complete a work in 9 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days? 2455 05b5cc6b2e4d2b4197774d374
5b5cc6b2e4d2b4197774d374- 17true
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Answer : 1. "7"
Explanation :
Answer: A) 7 Explanation: Given (3 Men + 4 Women + 6 Children) -----> 9 days But W = 2M and C = M/2 Now, convert Men and Children into Women by 3W2 + 4W + 6W4=> 32 + 4 + 32 = 7 Women Therefore, 7 women alone can complete this work in 9 days.
Q: The percentage discount offered for "Buy 6 get 1 free is" ? 2455 05b5cc72ce4d2b4197774f788
5b5cc72ce4d2b4197774f788- 185.78 %false
- 258. 48 %false
- 319.25 %false
- 414.285 %true
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Answer : 4. "14.285 %"
Explanation :
Answer: D) 14.285 % Explanation: Total Items = 7Discounted = 1Percentage = 1/7 x 100= 14.285%
Q: An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ? 2453 05b5cc67be4d2b4197774c1eb
5b5cc67be4d2b4197774c1eb- 1113/108false
- 2105/103true
- 3108/115false
- 4103/113false
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Answer : 2. "105/103"
Explanation :
Answer: B) 105/103 Explanation: As given equal amounts of alloys are melted, let it be 1 kg. Required ratio of gold and silver = 513 + 58813 + 38 = 105103. Hence, ratio of gold and silver in the resulting alloy = 105/103.
Q: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 2453 05b5cc72ce4d2b4197774f783
5b5cc72ce4d2b4197774f783- 1Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840true
- 2Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840false
- 3Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840false
- 4Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940false
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Answer : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
Explanation :
Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840
Q: If M $ N means M is the brother of N; M # N means M is the mother of N; M * N means M is the daughter of N. Then in I # J $ K * L, who is the father ? 2453 05b5cc6d5e4d2b4197774e61a
5b5cc6d5e4d2b4197774e61a- 1Ltrue
- 2Kfalse
- 3Jfalse
- 4Ifalse
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Answer : 1. "L"
Explanation :
Answer: A) L Explanation: I is the mother of J, J is the brother of K and K is the daughter of L. Hence , L is the Father.
Q: 5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days. 2449 05b5cc69de4d2b4197774c8ad
5b5cc69de4d2b4197774c8ad- 16false
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Answer : 3. "2"
Explanation :
Answer: C) 2 Explanation: Let work done by 1 man in i day be m and Let work done by 1 boy in 1 day be b From the given data, 4(5m + 3b) = 23 20m + 12b = 23....(1) 2(3m + 2b) = 7 6m + 4b = 7 ....(2) By solving (1) & (2), we get m = 1, b = 1/4 Let the number of required boys = n 6(7 1 + n x 1/4) = 45 => n = 2.
Q: An Excel Workbook is a collection of 2449 15b5cc636e4d2b4197774b9f5
5b5cc636e4d2b4197774b9f5- 1Chartsfalse
- 2Worksheetsfalse
- 3Both A & Btrue
- 4None of the abovefalse
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Answer : 3. "Both A & B"
Explanation :
Answer: C) Both A & B Explanation: An M.S Excel Workbook is a collection of both Worksheets and Charts.
Q: How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ? 2444 05b5cc736e4d2b4197774f879
5b5cc736e4d2b4197774f879- 13false
- 25true
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Answer : 2. "5"
Explanation :
Answer: B) 5 Explanation: There are total 5 ways.we have only one kg of weight so,2kg = 1kg + 1kg4kg = 1 + 2 + 18kg = 1 + 2 + 4 + 116kg = 1 + 2 + 4 + 8 + 131kg = 1 + 2 + 4 + 8 + 16So 5 weights are needed.