GATE Practice Question and Answer
8Q: At what time, between 3 o’clock and 4 o’clock, both the hour hand and minute hand coincide each other ? 1672 05b5cc6d8e4d2b4197774e74b
5b5cc6d8e4d2b4197774e74b- 13:16 7/11false
- 23:16 11/4false
- 33:30false
- 43:16 4/11true
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Answer : 4. "3:16 4/11"
Explanation :
Answer: D) 3:16 4/11 Explanation: Coincide means 00 angle. This can be calculated using the formulafor time A to B means [11m/2 - 30 (A)] Here m gives minutes after A the both hands coincides. Here A = 3, B = 4 0 =11m/2 –30 × 311m = 90 × 2 = 180m= 180/11 = 16 4/11 So time = 3 : 16 4/11
Q: How many degrees will the minute hand move, in the same time in which the second hand move 4800 ? 6059 05b5cc6d8e4d2b4197774e746
5b5cc6d8e4d2b4197774e746- 180 degtrue
- 2160 degfalse
- 3140 degfalse
- 4135 degfalse
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Answer : 1. "80 deg"
Explanation :
Answer: A) 80 deg Explanation: As minute hand covers, 60 degrees Minute hand covers 4800/60 = 80°
Q: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together ? 2721 05b5cc6d8e4d2b4197774e737
5b5cc6d8e4d2b4197774e737- 15 (2/3)false
- 26 (3/4 )false
- 34 (1/2)true
- 43false
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Answer : 3. "4 (1/2)"
Explanation :
Answer: C) 4 (1/2) Explanation: Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. Work done by P and Q, working together in one day = 1/6 + 1/18 = 4/18 = 2/9 They would take 9/2 days = 4 (1/2) days to complete the work working together.
Q: If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ? 1850 05b5cc6d8e4d2b4197774e732
5b5cc6d8e4d2b4197774e732- 11.44 %false
- 22.02 %false
- 31.04 %false
- 42.25 %true
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Answer : 4. "2.25 %"
Explanation :
Answer: D) 2.25 % Explanation: SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car. In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (15)(15)/100 % = 2.25%
Q: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ? 2225 05b5cc6d7e4d2b4197774e728
5b5cc6d7e4d2b4197774e728- 14.58 kmsfalse
- 26.35 kmsfalse
- 35.76 kmstrue
- 45.24 kmsfalse
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Answer : 3. "5.76 kms"
Explanation :
Answer: C) 5.76 kms Explanation: Speed in still water = 6 kmph Stream speed = 1.2 kmph Down stream = 7.2 kmph Up Stream = 4.8 kmph x/7.2 + x/4.8 = 1 x = 2.88 Total Distance = 2.88 x 2 = 5.76 kms
Q: How many minutes does a watch lose per day, if its hands coincide every 64 minutes ? 1099 05b5cc6d7e4d2b4197774e714
5b5cc6d7e4d2b4197774e714- 136 7/9 minfalse
- 232 8/11 mintrue
- 334 3/11 minfalse
- 465 5/11 minfalse
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Answer : 2. "32 8/11 min"
Explanation :
Answer: B) 32 8/11 min Explanation: 55 min. spaces are covered in 60 min. 60 min. spaces are covered in min. = min. Loss in 64 min. = min. Loss in 24 hrs = min. = min.
Q: Find the least number by which 175760 be divided to make it a perfect cube. 3675 05b5cc6d7e4d2b4197774e70f
5b5cc6d7e4d2b4197774e70f- 16false
- 210true
- 39false
- 430false
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Answer : 2. "10"
Explanation :
Answer: B) 10 Explanation: 175760 =2³ x 2 x 5 x 13³= 2³ x 2 x 5 x 13³ To make perfect cube, it must be divided by 2 x 5 = 10
Q: If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ? 2444 05b5cc6d7e4d2b4197774e70a
5b5cc6d7e4d2b4197774e70a- 178 paisefalse
- 248 paisetrue
- 354 paisefalse
- 462 paisefalse
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Answer : 2. "48 paise"
Explanation :
Answer: B) 48 paise Explanation: Quarter of Kg means 250 gm Less weight, less price (Direct Proportion) So, 250 : 200 :: 60 : x => x = 48 So 200 gm will cost 48 paise.