GATE Practice Question and Answer
8Q: The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ? 1660 05b5cc754e4d2b4197774fb7c
5b5cc754e4d2b4197774fb7c- 132true
- 236false
- 344false
- 452false
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Answer : 1. "32"
Explanation :
Answer: A) 32 Explanation: Given ratio of number of sheep and horses = 4 : 15Let number of sheep and horses are 4k and 15k Number of horses = 13200/110 = 120 Now 15K = 120 and k = 8 Number of sheep = 4k = (4 x 8) = 32
Q: K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ? 1659 05b5cc6cfe4d2b4197774e32d
5b5cc6cfe4d2b4197774e32d- 147/7 daysfalse
- 259/6 daysfalse
- 348/5 daystrue
- 457/5 daysfalse
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Answer : 3. "48/5 days"
Explanation :
Answer: C) 48/5 days Explanation: Amount of work K can do in 1 day = 1/16 Amount of work L can do in 1 day = 1/12 Amount of work K, L and M can together do in 1 day = 1/4 Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 => Hence M can do the job on 48/5 days = 9 (3/5) days
Q: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is : 1659 05b5cc6eee4d2b4197774ef09
5b5cc6eee4d2b4197774ef09- 183false
- 289false
- 385true
- 479false
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Answer : 3. "85"
Explanation :
Answer: C) 85 Explanation: Since the numbers are co-prime, they contain only 1 as the common factor.Also, the given two products have the middle number in common.So, middle number = H.C.F of 551 and 1073 = 29;First number = 551/29 = 19Third number = 1073/29 = 37.Required sum = 19 + 29 + 37 = 85.
Q: In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ? 1659 05b5cc6f4e4d2b4197774efe6
5b5cc6f4e4d2b4197774efe6- 1138 to 164false
- 2125 to 147false
- 3148 to 158false
- 4152 to 164true
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Answer : 4. "152 to 164"
Explanation :
Answer: D) 152 to 164 Explanation: A+7B=112 it is clear that A = 14, then it becomes A>=B, but A is smallest angle) givenso, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)
Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1659 05b5cc73de4d2b4197774f943
5b5cc73de4d2b4197774f943- 180%true
- 270%false
- 375%false
- 462%false
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Answer : 1. "80%"
Explanation :
Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm. After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm. So % of water = 100 x 60/75 = 80%.
Q: Which of the following is not a monosaccharide? 1658 05b5cc639e4d2b4197774ba5d
5b5cc639e4d2b4197774ba5d- 1Fructosefalse
- 2Glucosefalse
- 3Galactosefalse
- 4Sucrosetrue
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Answer : 4. "Sucrose"
Explanation :
Answer: D) Sucrose Explanation: Sucrose is not a monosaccharide. Monosaccharides are simple carbohydrates molecules that cannot be broken down into smaller molecules of other carbohydrates. Glucose, galactose and fructose are examples of Monosaccharides.
Q: An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%? 1658 05b5cc6aee4d2b4197774d179
5b5cc6aee4d2b4197774d179- 145 gmfalse
- 250 gmtrue
- 355 gmfalse
- 460 gmfalse
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Answer : 2. "50 gm"
Explanation :
Answer: B) 50 gm Explanation: Initial quantity of copper =80100 x 50 = 40 g And that of Bronze = 50 - 40 = 10 g Let 'p' gm of copper is added to the mixture => 50 + p x 90100 = 40 + p => 45 + 0.9p = 40 + p => p = 50 g Hence, 50 gms of copper is added to the mixture, so that the copper is increased to 90%.
Q: Add is to multiply as subtract is to 1656 05b5cc662e4d2b4197774be84
5b5cc662e4d2b4197774be84- 1fractionfalse
- 2dividetrue
- 3decimalfalse
- 4None of the abovefalse
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Answer : 2. "divide"
Explanation :
Answer: B) divide Explanation: Here if you observe, add and subtract are opposite in nature. Similarly, mutiply and divide are also opposite in nature. Hence, Add : Multiply :: Subtract : Divide.

