GATE Practice Question and Answer
8Q: Find the ODD number ? 1641 05b5cc6cce4d2b4197774e167
5b5cc6cce4d2b4197774e167- 142false
- 2142true
- 3119false
- 421false
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Answer : 2. "142"
Explanation :
Answer: B) 142 Explanation: Except 142 all are divisible by number '7'.
Q: If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ? 1641 05b5cc709e4d2b4197774f258
5b5cc709e4d2b4197774f258- 13false
- 22false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: Let assume the value of a,b &c that will satisfy the equation.so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1here all three cases satisfy the equationassume any one a=1,b=1,c= -1 Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0
Q: In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ? 1640 05b5cc6c4e4d2b4197774dcf6
5b5cc6c4e4d2b4197774dcf6- 1Rs. 34,410false
- 2Rs. 31,184false
- 3Rs. 29,999false
- 4Rs. 32,292true
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Answer : 4. "Rs. 32,292"
Explanation :
Answer: D) Rs. 32,292 Explanation: Almond Selling price = CP(1 + P%/100) => CP = 20000, SP = 23000 => 23000 = 20000 (1 + P/100) => P% = 100(23000/20000 - 1) = 15 Then, Olive's P% = 30% SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900 Now Sarah wants to earn profit of 8% => Sp for Sarah = 29900(1 + 8/100) = Rs. 32,292.
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: Which of the Phrases (1), (2), (3) and (4) given below should replace the phrases printed in bold in the sentence to make it grammatically correct. They claim that their employees are highly committing and disciplined. 1640 05b5cc6cce4d2b4197774e12e
5b5cc6cce4d2b4197774e12e- 1Have been highly committedfalse
- 2Have high commitmentsfalse
- 3Are highly committedtrue
- 4No correction requiredfalse
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Answer : 3. "Are highly committed"
Explanation :
Answer: C) Are highly committed Explanation: As per the rule of adverb, the adverb is followed by the third form of verb.
Q: A passenger train is moving at a speed of 120 km/hr. If the length of the train is 101 meters, how long will it take to cross a railway platform 154 meters long ? 1640 05b5cc6d3e4d2b4197774e540
5b5cc6d3e4d2b4197774e540- 16.24 secfalse
- 26.58 secfalse
- 37.325 secfalse
- 47.65 sectrue
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Answer : 4. "7.65 sec"
Explanation :
Answer: D) 7.65 sec Explanation: Here total distance = 154 + 101 = 255 mtsGiven speed = 120 kmph = 120x5/18 m/secHence, Time = d/s = 255x18/120x5 = 7.65 sec
Q: Organisms need Nutrients in order to 1640 05b5cc6b6e4d2b4197774d583
5b5cc6b6e4d2b4197774d583- 1Breaking down foodtrue
- 2Utilize chemical compoundsfalse
- 3recyclingfalse
- 4Nonefalse
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Answer : 1. "Breaking down food"
Explanation :
Answer: A) Breaking down food Explanation: Nutrients are necessary for break down the food and supply energy to the organisms and to carry out essential life functions. Important nutrients are Hydrogen, Carbon and Oxygen. Some more important nutrients for plants are : Potassium, Sulphur, Nitrogen, Phosphorous, Calcium and Magnesium.
Q: The probability that a number selected at random from the first 100 natural numbers is a composite number is ? 1640 05b5cc6e3e4d2b4197774ec8e
5b5cc6e3e4d2b4197774ec8e- 13/2true
- 22/3false
- 31/2false
- 434/7false
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Answer : 1. "3/2"
Explanation :
Answer: A) 3/2 Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2.