GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ? 1658 05b5cc6cee4d2b4197774e203
5b5cc6cee4d2b4197774e203- 141.25 daystrue
- 237.5 daysfalse
- 339.75 daysfalse
- 440 daysfalse
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उत्तर : 1. "41.25 days"
व्याख्या :
Answer: A) 41.25 days Explanation: Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days. Let the initial speed be '1' Hence, Time = 22(24hrs - 2) Noe new speed = 2/3 Let the number of days he take be 'D' Therefore, 2224-2x3200=D24-2x2250 D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.
प्र: A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ? 2219 05b5cc6cee4d2b4197774e208
5b5cc6cee4d2b4197774e208- 112 daysfalse
- 214 daysfalse
- 313 daystrue
- 416 daysfalse
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उत्तर : 3. "13 days"
व्याख्या :
Answer: C) 13 days Explanation: Now, Total work = LCM(16, 8) = 48 A's one day work = + 48/16 = + 3 B's one day work = - 48/8 = -6 Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15 2days B joined with A in working = 2(3 - 6) = - 6 Remaining Work of building wall = 48 - (15 - 6) = 39 Now this remaining work will be done by A in = 39/3 = 13 days.
प्र: In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ? 8510 05b5cc6cee4d2b4197774e1fe
5b5cc6cee4d2b4197774e1fe- 1110false
- 290true
- 3100false
- 4180false
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उत्तर : 2. "90"
व्याख्या :
Answer: B) 90 Explanation: Let number of 2 wheelers be 'x'and 4 wheelers be 'y' Given total number of vehicles = 200i.e, x + y = 200 ....(1) Given total number of wheels = 580i.e, 2x + 4y = 580 ...(2) By solving (1)&(2), we get y = 90=> x = 110 Therefore, number of two wheelers = 110number of four wheelers = 90
प्र: Re-arrange the following sentences into a meaningful paragraph. ( 3326 05b5cc6cde4d2b4197774e1f9
5b5cc6cde4d2b4197774e1f9- 1comes into effect from today. The bank's savings account rate was 3.5 per cent during March 2003 to May 2011 for all savings bank account customers (false
- 2The bank's decision comes two days ahead of RBI's monetary policy meet and is likely to trigger (false
- 3with deposits of above Rs 1 crore, it said in a statement. The two-tier savings bank account interest rate (false
- 4to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers (E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts (F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent (G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore.true
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उत्तर : 4. "to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers
(E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts
(F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent
(G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore."
व्याख्या :
Answer: D) FDBGECA Explanation:
प्र: In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ? 2117 05b5cc6cde4d2b4197774e1e0
5b5cc6cde4d2b4197774e1e0- 15!false
- 26!false
- 34!false
- 4Can't determinetrue
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उत्तर : 4. "Can't determine"
व्याख्या :
Answer: D) Can't determine Explanation: NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions. And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions. Therefore, Can't be determined.
प्र: What letter will come in place of question mark ? L J H J P D P ? E 19542 05b5cc6cde4d2b4197774e1d6
5b5cc6cde4d2b4197774e1d6- 1Kfalse
- 2Lfalse
- 3Pfalse
- 4Itrue
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उत्तर : 4. "I"
व्याख्या :
Answer: D) I Explanation: Sum of place value in a row is 30. So the letter which comes in place of '?' is 'I'.
प्र: Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ? 1458 05b5cc6cde4d2b4197774e1db
5b5cc6cde4d2b4197774e1db- 1120false
- 2256false
- 3192true
- 4244false
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उत्तर : 3. "192"
व्याख्या :
Answer: C) 192 Explanation: We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated. The number can be 4 digited but greater than 4000 or 5 digited. Number of 4 digited numbers greater than 4000 are4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72. 5 digited numbers = P55 = 5! = 120 So the total numbers greater than 4000 = 72 + 120 = 192
प्र: At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ? 2833 05b5cc6cde4d2b4197774e1cc
5b5cc6cde4d2b4197774e1cc- 15%true
- 26%false
- 34%false
- 43%false
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उत्तर : 1. "5%"
व्याख्या :
Answer: A) 5% Explanation: Given compound interest for 3 years = Rs. 1513.2 and simple interest for 5 years = Rs. 2400 Now, we know that C.I = P1+R100n - 1 => 1513.2 = P1+R1003 - 1 ...........(A) And S.I = PTR/100 => 2400 = P5R/100 ..................(B) By solving (A) & (B), we get R = 5%.