GATE Practice Question and Answer
8Q: There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ? 1817 05b5cc705e4d2b4197774f253
5b5cc705e4d2b4197774f253- 123true
- 2432false
- 322false
- 4431false
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Answer : 1. "23"
Explanation :
Answer: A) 23 Explanation: As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used. C19+C18+C16 = 23 will be answer.
Q: What is the reciprocal of a negative number? 1817 05b5cc690e4d2b4197774c417
5b5cc690e4d2b4197774c417- Show AnswerHide Answer
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Answer :
Explanation :
The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1. All real numbers except 0 have reciprocals.
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. 1816 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: Food : Stomach : : Fuel : ? 1816 05b5cc73de4d2b4197774f977
5b5cc73de4d2b4197774f977- 1truckfalse
- 2Planefalse
- 3Enginetrue
- 4Automobilefalse
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Answer : 3. "Engine"
Explanation :
Answer: C) Engine Explanation: Food is processed by the stomach to provide energy for the functioning of the body.Similarly, fuel is processed by the engine to provide energy for the functioning of automobile.
Q: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ? 1815 05b5cc6c5e4d2b4197774ddbe
5b5cc6c5e4d2b4197774ddbe- 114/33true
- 214/55false
- 312/55false
- 413/33false
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Answer : 1. "14/33"
Explanation :
Answer: A) 14/33 Explanation: Total number of chairs = (3 + 5 + 4) = 12. Let S be the sample space. Then, n(s)= Number of ways of picking 2 chairs out of 12 = 12×11/2×1 = 66 Let n(E) = number of events of selecting 2 chairs for selecting no white chairs. => 8C2 = 8×7/2×1 = 28 Therefore required probability = 28/66 = 14/33.
Q: Math Logic Challenge 1815 05b5cc6d3e4d2b4197774e4b4
5b5cc6d3e4d2b4197774e4b4- 123false
- 226true
- 313false
- 429false
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Answer : 2. "26"
Explanation :
Answer: B) 26 Explanation: Let the integer be x. Then, x2-20x = 156 (x + 6)(x - 26) = 0 x = 26 The integer is 26.
Q: An amount doubles itself in 15 years. what is the rate of interest ? 1815 05b5cc711e4d2b4197774f3cd
5b5cc711e4d2b4197774f3cd- 17.85 %false
- 29.41%false
- 36.66 %true
- 44.21 %false
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Answer : 3. "6.66 %"
Explanation :
Answer: C) 6.66 % Explanation: Let the principle be Rs. PAs the amount double itself the interest is Rs. P tooSo P = P x r x 15/100=> r = 100/15 = 20/3 % = 6.66 %.
Q: The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ? 1815 05b5cc6d8e4d2b4197774e7af
5b5cc6d8e4d2b4197774e7af- 157false
- 275false
- 348false
- 439true
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Answer : 4. "39"
Explanation :
Answer: D) 39 Explanation: Let the two-digit number be 10a + ba + b = 12 --- (1)If a>b, a - b = 6If b>a, b - a = 6If a - b = 6, adding it to equation (1), we get2a = 18 => a =9so b = 12 - a = 3Number would be 93.if b - a = 6, adding it to the equation (1), we get2b = 18 => b = 9a = 12 - b = 3.Number would be 39.There fore, Number would be 39 or 93.

