GATE Practice Question and Answer
8Q: The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ? 1506 05b5cc6d8e4d2b4197774e7af
5b5cc6d8e4d2b4197774e7af- 157false
- 275false
- 348false
- 439true
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Answer : 4. "39"
Explanation :
Answer: D) 39 Explanation: Let the two-digit number be 10a + ba + b = 12 --- (1)If a>b, a - b = 6If b>a, b - a = 6If a - b = 6, adding it to equation (1), we get2a = 18 => a =9so b = 12 - a = 3Number would be 93.if b - a = 6, adding it to the equation (1), we get2b = 18 => b = 9a = 12 - b = 3.Number would be 39.There fore, Number would be 39 or 93.
Q: Two persons K and L can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days ? 1702 05b5cc6d8e4d2b4197774e7aa
5b5cc6d8e4d2b4197774e7aa- 11/6true
- 21/3false
- 32/3false
- 41/18false
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Answer : 1. "1/6"
Explanation :
Answer: A) 1/6 Explanation: K's one day's work = 1/30 L's one day's work = 1/45 (K + L)'s one day's work = 1/30 + 1/45 = 1/18 The part of the work completed in 3 days = 3 (1/18) = 1/6.
Q: One Word substitute : Extreme old age when a man behaves like a fool 4072 05b5cc6d8e4d2b4197774e787
5b5cc6d8e4d2b4197774e787- 1Superannuationfalse
- 2Imbecilityfalse
- 3Senilityfalse
- 4Dotagetrue
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Answer : 4. "Dotage"
Explanation :
Answer: D) Dotage Explanation:
Q: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ? 2812 05b5cc6d8e4d2b4197774e782
5b5cc6d8e4d2b4197774e782- 12/3 hrsfalse
- 23/4 hrstrue
- 31/3 hrsfalse
- 41/4 hrsfalse
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Answer : 2. "3/4 hrs"
Explanation :
Answer: B) 3/4 hrs Explanation: Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time so 1/3rd of the usual time = 15minor usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.
Q: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is ? 2388 05b5cc6d8e4d2b4197774e778
5b5cc6d8e4d2b4197774e778- 163false
- 231true
- 316false
- 427false
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Answer : 2. "31"
Explanation :
Answer: B) 31 Explanation: To get the least number of coconuts :LCM = 30 => 30 + 1 = 31
Q: In one year, the Amount collected for social welfare, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the amount was 7920, what was it in the beginning ? 1662 05b5cc6d8e4d2b4197774e773
5b5cc6d8e4d2b4197774e773- 18800false
- 28650false
- 38000true
- 48980false
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Answer : 3. "8000"
Explanation :
Answer: C) 8000 Explanation: Let the amount collected be 'A'Then, from the given conditions,A x 110/100 x 90/100 = 7920 A x 0.99 = 7920 A = 7920/0.99=> 8000
Q: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ? 5683 05b5cc6d8e4d2b4197774e769
5b5cc6d8e4d2b4197774e769- 1170 mfalse
- 2100 mfalse
- 3270 mfalse
- 4320 mtrue
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Answer : 4. "320 m"
Explanation :
Answer: D) 320 m Explanation: Relative speed = (72 - 36) x 5/18 = 2 x 5 = 10 mps.Distance covered in 32 sec = 32 x 10 = 320 m. The length of the faster train = 320 m.
Q: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ? 1879 05b5cc6d8e4d2b4197774e764
5b5cc6d8e4d2b4197774e764- 155 kmphfalse
- 258 kmphfalse
- 360 kmphtrue
- 466 kmphfalse
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Answer : 3. "60 kmph"
Explanation :
Answer: C) 60 kmph Explanation: Speed on return trip = 150% of 50 = 75 km/hr. Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.