GATE प्रश्न और उत्तर का अभ्यास करें

प्र: Energy is measured in units called 1541 0

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    Newtons
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    Watts
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    Joules
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    Ohm/mtr
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उत्तर : 3. "Joules"
व्याख्या :

Answer: C) Joules Explanation: Energy is measured in units called Joules.   Joule is unit of work or energy in the International System of Units (SI) which is equal to the work done by a force of one newton acting through one metre.   1 Joule  =  107 ergs or 0.7377 foot-pounds.

प्र: Important Time and Distance formulas with examples. 1539 0

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उत्तर :
व्याख्या :

1. How to find Speed(s) if distance(d) & time(t) is given:    Speed (S) = Distance (D)Time (T)     Ex: Find speed if a person travels 4 kms in 2 hrs? Speed = D/T = 4/2 = 2 kmph.   2.  Similarly, we can find distance (d)  if speed (s) & time (t) is given by   Distance (D) = Speed (S) x Time (T)   Ex : Find distance if a person with a speed of 2 kmph in 2 hrs? Distance D = S X T = 2 x 2 = 4 kms.    3.  Similarly, we can find time (t) if speed (s) &  distance (d) is given by   Time (T) = Distance (D)Speed (S)   Ex : Find in what time a person travels 4 kms with a speed of 2 kmph? Time T = D/S = 4/2 = 2 hrs.   4. How to convert  km/hr into m/sec :   P km/hr = P x 518 m/sec   Ex : Convert 36 kmph into m/sec? 36 kmph = 36 x 5/18 = 10 m/sec    5. How to convert  m/sec into km/hr :   P m/sec = P x 185 kmph.   Ex : Convert 10 m/sec into km/hr? 10 m/sec = 10 x 18/5 = 36 kmph.   6.  If the ratio of the speeds of A and B is a:b, then the ratio of the times taken by them to cover the same distance is b : a.   7.  Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+y km/hr.

प्र: What element is found in all organic compounds? 1538 0

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    Hydrogen
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    Calcium
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    Nitrogen
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    Carbon
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उत्तर : 4. "Carbon"
व्याख्या :

Answer: D) Carbon Explanation: Carbon is found in all organic compounds.

प्र: Ravi, Anand and Pranay are running a business firm in partnership. What is Anand's share in the profit earned by them? a. Ravi, Anand and Pranay invested the amounts in the ratio of 2 : 4 : 7. b. Pranay's share in the profit is Rs. 8750. 1538 0

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    Only a is sufficient
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    Neither a nor b is sufficient
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    Only b is sufficient
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    Both a and b sufficient
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उत्तर : 4. "Both a and b sufficient"
व्याख्या :

Answer: D) Both a and b sufficient Explanation: Given Pranay's profit in the share is Rs. 8750 But given that their investments are in the ratio 2:4:7 713×P = 8750 P = 16250 Now Anand's share = 413×16250 = Rs.5000 Thus both staements a and b are sufficient to answer this question.

प्र: What will come in the place of the (?) in the following number series ? 5 14 45 130 (?) 1182 1537 0

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    222
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    397
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    404
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    415
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उत्तर : 2. "397"
व्याख्या :

Answer: B) 397 Explanation: The pattern of given series is : 5 14 = (5x3) - 1 45 = (14x3) + 3 130 = (45x3) - 5 (?) = (130x3) + 7 => (?) = 397 1182 = (397x3) - 9 Thus, the missing number is 397.

प्र: How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ? 1537 0

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    48
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    52
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    38
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    42
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उत्तर : 1. "48"
व्याख्या :

Answer: A) 48 Explanation: Here distance d = 800 mts speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s time t = 800x1860x5= 48 sec.

प्र: 12 days payment to the servant in a cloth showroom in festival season is Rs. 400 plus one shirt. The servant leaves after 9 days and recieves Rs. 280 and a shirt. What is the price of the shirt ? 1536 0

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    Rs. 80
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    Rs. 120
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    Rs. 70
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    Rs. 100
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उत्तर : 1. "Rs. 80"
व्याख्या :

Answer: A) Rs. 80 Explanation: The servant worked for 9 days instead of 12 days, he should receive 9/12 of his total payment Let the price of 1 shirt be Rs. S  i.e., 3/4 (400 + S). However, the question states that the servant receive Rs. 280 + S where S is the price of the shirt. By equating the two equations we get 3/4 (400 + S) = 280 + S. Therefore, Price of the shirt S = Rs. 80.

प्र: In a college, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 20% boys were absent, then find the number of boys those who present? 1536 0

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    72
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    84
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    93
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    81
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उत्तर : 2. "84"
व्याख्या :

Answer: B) 84 Explanation: Ratio of girls and boys = 100% : 75% = 4:3 Difference is 1 unit = 35 So, 3 units = 35 x 3 = 105 If 20% absent, that’s mean 80% present. So, present boys = 80% of 105 = 80×105100 = 84

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