GATE рдкреНрд░рд╢реНрди рдФрд░ рдЙрддреНрддрд░ рдХрд╛ рдЕрднреНрдпрд╛рд╕ рдХрд░реЗрдВ
рдкреНрд░: Ten years ago, Karan was thrice as old as Shiva was but 10 years hence, he will be only twice as old. Find ShivaтАЩs present age ? 3819 05b5cc75ee4d2b4197774fcca
5b5cc75ee4d2b4197774fcca- 170 yearsfalse
- 230 yearstrue
- 360 yearsfalse
- 440 yearsfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 2. "30 years"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: B) 30 years Explanation: Let KaranтАЩs present age be x years and ShivaтАЩs present age be y years.Then, according to the first condition,x - 10 = 3(y - 10) or x - 3y = - 20 ..(1) Now, KaranтАЩs age after 10 years = (x + 10) yearsShivaтАЩs age after 10 years = (y + 10)(x + 10) = 2 (y + 10) or x - 2y = 10 ..(2) Solving (1) and (2), we get x = 70 and y = 30KaranтАЩs age = 70 years and ShivaтАЩs age = 30 years.
рдкреНрд░: One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture. 2190 05b5cc75ee4d2b4197774fcc0
5b5cc75ee4d2b4197774fcc0- 127 %true
- 226 %false
- 329 %false
- 421 %false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "27 %"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 27 % Explanation: Let the percentage of benzene = X(30 - X)/(X- 25) = 6/4 = 3/2 => 5X = 135 ┬аX = 27 So, required percentage of benzene = 27 %
рдкреНрд░: Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop? 6178 05b5cc75ee4d2b4197774fcbb
5b5cc75ee4d2b4197774fcbb- 115 minutesfalse
- 220 minutestrue
- 318 minutesfalse
- 422 minutesfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 2. "20 minutes"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: B) 20 minutes Explanation: Let the total distance to be covered is 84 kms.Time taken to cover the distance without stoppage = 84/42 hrs = 2 hrsTime taken to cover the distance with stoppage = 84/28 = 3 hrs.Thus, he takes 60 minutes to cover the same distance with stoppage.Therefore, in 1 hour he stops for 20 minutes.
рдкреНрд░: 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. 4131 05b5cc75ee4d2b4197774fcb1
5b5cc75ee4d2b4197774fcb1- 16:31false
- 211:30false
- 37:30true
- 431:6false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
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- SingleChoice
рдЙрддреНрддрд░ : 3. "7:30"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
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┬а-┬аS.P65S.P├Ч100┬а=┬аS.P┬а-C.PC.P├Ч100Therefore, 1/6 = (S.P/C.P) тАУ 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 тАУ S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30 ┬а Therefore, the ratio is 7 : 30
рдкреНрд░: Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ? 1614 05b5cc75ee4d2b4197774fcb6
5b5cc75ee4d2b4197774fcb6- 181false
- 278false
- 380.5false
- 481.5true
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "81.5"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) 81.5 Explanation: Let the number of students in classes A, B and C be P, Q and R respectively.Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.Also given that,(83P + 76Q) / (P + Q) = 79=>4P = 3Q.(76Q + 85R)/(Q + R) = 81=>4R = 5Q,=>Q = 4P/3 and R = 5P/3Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5
рдкреНрд░: In a certain code language, 'how can you go' is written as 'ja da ka pa', 'can you come here' is written as 'na ka sa ja' and 'cone and go' is written as 'ra pa sa'. How is 'here' written in that code ? 4278 05b5cc75ee4d2b4197774fca7
5b5cc75ee4d2b4197774fca7- 1natrue
- 2jafalse
- 3safalse
- 4Nonefalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "na"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) na Explanation: From the given information : how can you go = ja da ka pa....(1)can you come here = na ka sa ja...(2)come and go = ra pa sa....(3)from (1)&(2), can you = ja ka...(4)from (2)&(3), come = sa...(5)Using (4)&(5) in (2), we get here = na.
рдкреНрд░: What should come next in the following letter series based on English alphabet ?CEA JLH QSO ? 2093 05b5cc75ee4d2b4197774fcac
5b5cc75ee4d2b4197774fcac- 1WYUfalse
- 2UXWfalse
- 3WXVfalse
- 4XZVtrue
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "XZV"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) XZV Explanation: In the given series, each letter moves seven letters forward to obtain the next.So, XZV replaces ? in the series.
рдкреНрд░: 'A' sold an article to 'B' at a profit of 20%. 'B' sold the same article to 'C' at a loss of 25% and 'C' sold the same article to 'D' at a profit of 40%. If 'D' paid Rs 252 for the article, then find how much did 'A' pay for it? 2418 05b5cc75ee4d2b4197774fca2
5b5cc75ee4d2b4197774fca2- 1Rs.196false
- 2Rs.210false
- 3Rs.200true
- 4Rs.235false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 3. "Rs.200"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: C) Rs.200 Explanation: Let the article costs 'X' to ACost price of B = 1.2XCost price of C = 0.75(1.2X) = 0.9XCost price of D = 1.4(0.9X) = 1.26X = 252Amount paid by A for the article = Rs. 200.

