GATE Practice Question and Answer
8Q: Rajeev start a business with Rs. 10000, Deepu joins him after 2 month with 20% more investment than Rajeev, after 2 month Shakti joins him with 40% less than Deepu. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of Rajeev and ten times the investment of Shakti. Find the profit of Rajeev ? 4977 05b5cc6c6e4d2b4197774de2c
5b5cc6c6e4d2b4197774de2c- 150000false
- 248000false
- 338000true
- 440000false
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Answer : 3. "38000"
Explanation :
Answer: C) 38000 Explanation: Here from the given information, The ratio of investments of Rajeev, Deepu & Shakti is R : D : S = (10000 × 12) : (12000 × 10) : (7200 × 8) = 25 : 25 : 12 Now the Profit = 2 × (72000-10000) = 124000 Share of Rajeev = 124000 x 25/62 = 48000 Profit of Rajeev = 48000 - 10000 = 38000
Q: The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ? 1556 05b5cc6c6e4d2b4197774de27
5b5cc6c6e4d2b4197774de27- 118 cmfalse
- 212 cmfalse
- 316 cmfalse
- 414 cmtrue
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Answer : 4. "14 cm"
Explanation :
Answer: D) 14 cm Explanation: circumference of a circle = 2πr => 2 × 22/7 × r – r = 37 => 37/7 × r = 37 => r = 7 cm. Diameter D = 2r = 7×2 = 14 cm.
Q: Manish completes a work in 20 days. After 8 days Sriram joined the work. In how many days will the work be completed ? Statements : I. Sriram takes twice the time than Manish to complete the work.II. Sriram completes half the work in 15 days. 1452 05b5cc6c6e4d2b4197774de22
5b5cc6c6e4d2b4197774de22- 1Statement I alone is sufficient to answer the questionfalse
- 2Statement II alone is sufficient to answer the questionfalse
- 3Either the statements I & II is sufficient to answer the questiontrue
- 4Neither the statements I & II is sufficient to answer the questionfalse
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Answer : 3. "Either the statements I & II is sufficient to answer the question"
Explanation :
Answer: C) Either the statements I & II is sufficient to answer the question Explanation: From statement I, Time taken by Sriram to complete the work = 40 days From statement II, Time taken by Sriram to complete the wok = 30 days So from both either by statement I or statement II we can find the time to complete the work.
Q: The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased ? 1640 05b5cc6c6e4d2b4197774de18
5b5cc6c6e4d2b4197774de18- 190%true
- 288%false
- 385%false
- 484%false
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Answer : 1. "90%"
Explanation :
Answer: A) 90% Explanation: Let length, breadth and height of the room be 7, 3, 1 unit respectively. Area of walls = 2(l+b)xh = 2(7+3)x1 = 20 sq. unit. Now, length, breadth and height of room will become 3.5, 6 and 2 respectively. Area of walls = 2(l+b)xh = 2(3.5+6)x2 = 38 sq. unit. % Increase in the area of walls = (38-20)x100/20 = 90%.
Q: Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ? 1590 05b5cc6c6e4d2b4197774de0e
5b5cc6c6e4d2b4197774de0e- 143929true
- 259049false
- 315120false
- 40false
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Answer : 1. "43929"
Explanation :
Answer: A) 43929 Explanation: Number of words with 5 letters from given 9 alphabets formed = 95 Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5 Number of words can be formed which have at least one letter repeated = 95 - 9P5 = 59049 - 15120 = 43929
Q: World Suicide Prevention Day (WSPD) is observed every year on _______ 1515 05b5cc6c6e4d2b4197774de04
5b5cc6c6e4d2b4197774de04- 11 Septemberfalse
- 27 Septemberfalse
- 3D) is observed every year on _______ A) 1 September B) 7 September C)false
- 4is observed every year on _______ A) 1 September B) 7 September C) 9 September D) 10 Septembertrue
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Answer : 4. "is observed every year on _______
A) 1 September
B) 7 September
C) 9 September
D) 10 September"
Explanation :
Answer: D) 10 September Explanation: World Suicide Prevention Day (WSPD) is an awareness day celebrated on 10 September every year, keeping in mind the end goal to give overall commitment and action to anticipate suicides, with various activities around the world since 2003.
Q: Solve the MathPuzzle Challenge ? 1469 05b5cc6c6e4d2b4197774ddff
5b5cc6c6e4d2b4197774ddff- 14!false
- 25!false
- 36!false
- 4Can't be determinedtrue
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Answer : 4. "Can't be determined"
Explanation :
Answer: D) Can't be determined 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.
Q: K and L starts walking towards each other at 4 pm at speed of 3 km/hr and 4 km/hr respectively. They were initially 17.5 km apart. At what time do they meet ? 2006 05b5cc6c6e4d2b4197774ddfa
5b5cc6c6e4d2b4197774ddfa- 16:00 amfalse
- 26:30 pmtrue
- 35:45 amfalse
- 45:52 pmfalse
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Answer : 2. "6:30 pm"
Explanation :
Answer: B) 6:30 pm Explanation: Suppose they meet after 'h' hours Then 3h + 4h = 17.5 7h = 17.5 h = 2.5 hours So they meet at => 4 + 2.5 = 6:30 pm