GATE Practice Question and Answer
8Q: An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ? 3747 05b5cc74fe4d2b4197774faea
5b5cc74fe4d2b4197774faea- 11124false
- 21420false
- 31345false
- 41250true
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Answer : 4. "1250"
Explanation :
Answer: D) 1250 Explanation: Let initially 'X' ticket has been sold.So now in 2nd week 20% increases, so=> X x 120/100In 3rd week 16% increases, so=> X x (120/100) x (116/100)In 4th week 20% decrease, so=> X x (120/100) x (116/100) x (80/100) = 1392X = 1250.
Q: There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was : 3746 05b5cc6dee4d2b4197774ea65
5b5cc6dee4d2b4197774ea65- 120true
- 235false
- 354false
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Answer : 1. "20"
Explanation :
Answer: A) 20 Explanation: Numbers of students in section A = x ∴ Numbers of students in section B and C = (100 – x) ∴ x 70 + (100 – x) 87.5 = 84 100 => 70x + 87.5 100 – 87.5x = 8400 => 8750 – 17.5x = 8400 => 17.5x = 8750 – 8400 => x = 20.
Q: There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ? 3739 05b5cc754e4d2b4197774fbaf
5b5cc754e4d2b4197774fbaf- 1105true
- 27! x 6!false
- 37!/5!false
- 4420false
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Answer : 1. "105"
Explanation :
Answer: A) 105 Explanation: Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room, Then, 7C1 x 6C2 x 4C4 = 7 x 15 x 1 = 105
Q: One Word substitute : Extreme old age when a man behaves like a fool 3736 05b5cc6d8e4d2b4197774e787
5b5cc6d8e4d2b4197774e787- 1Superannuationfalse
- 2Imbecilityfalse
- 3Senilityfalse
- 4Dotagetrue
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Answer : 4. "Dotage"
Explanation :
Answer: D) Dotage Explanation:
Q: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 3717 05b5cc75ee4d2b4197774fcb1
5b5cc75ee4d2b4197774fcb1- 16:31false
- 211:30false
- 37:30true
- 431:6false
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Answer : 3. "7:30"
Explanation :
Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30 Therefore, the ratio is 7 : 30
Q: Artist is to painting as senator is to 3686 05b5cc636e4d2b4197774b9fa
5b5cc636e4d2b4197774b9fa- 1politicianfalse
- 2constituentsfalse
- 3attorneyfalse
- 4lawtrue
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Answer : 4. "law"
Explanation :
Answer: D) law Explanation: As we know that an artist makes paintings, similarly, a senator makes laws. Hence, Artist : Painting :: Senator : Law.
Q: A can write 32 pages in 6 hours and B can write 40 pages in 5 hours. If they write together, in how many hours they can write 110 pages ? 3682 05b5cc711e4d2b4197774f3c8
5b5cc711e4d2b4197774f3c8- 17 hrsfalse
- 26 hrs 10 minfalse
- 35 hrs 25minfalse
- 48 hrs 15 mintrue
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Answer : 4. "8 hrs 15 min"
Explanation :
Answer: D) 8 hrs 15 min Explanation: A can write in 1hour = 32/6 pages Similarly, B in 1 hour = 40/5 pages Together (A+B) in 1 hour = 32/6 + 40/5 = 40/3 So, A+B write 40/3 pages in 1 hour A+B write 110 pages in (3/40) x 110 Hours = 8 hours 15 min.
Q: If a soldier fires 7 shots from a gun in 12 minutes then find the total number of shots fired by the man in 3/2 hrs. 3636 05b5cc6b4e4d2b4197774d49b
5b5cc6b4e4d2b4197774d49b- 145false
- 244false
- 346true
- 447false
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Answer : 3. "46"
Explanation :
Answer: C) 46 Explanation: Here given soldier shots 7 shots in 12 min => 1 shot doen't take any time in 12 min => Only 6 shots take 12 min 12 min ------ 6 shots 90 min ------ ? shots => 90 x (6/12) = 45 Therefore, total shots fired in 90 minutes = 45 + 1 = 46 shots.