GATE Practice Question and Answer
8Q: 5 years ago, the mother's age was 3 times of her son's age. 5 years hence, the ratio between the ages of mother and the son becomes 11:5. Find the mother's present age? 1834 05b5cc611e4d2b4197774b67b
5b5cc611e4d2b4197774b67b- Show AnswerHide Answer
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Answer :
Explanation :
Let the present age's of mother be 'M' and that of her son be 'S'. According to the given data in the question, M - 5 = 3(S - 5) F - 3S = -10 ...............(1) Then given , M + 5 : S + 5 = 11 : 5 => 5M - 11S = 30 ..............(2) From (1) & (2), we get S = 20 Then by substituting S = 20 in (1) or (2), we get M = 50. Hence, the present age of mother is M = 50 years.
Q: Which choice best describes the polarity of BrF5? 1834 05b5cc62ce4d2b4197774b902
5b5cc62ce4d2b4197774b902- 1nonpolar bonds / nonpolar moleculefalse
- 2nonpolar bonds / polar moleculefalse
- 3polar bonds / polar moleculetrue
- 4polar bonds / nonpolar moleculefalse
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Answer : 3. "polar bonds / polar molecule"
Explanation :
Answer: C) polar bonds / polar molecule Explanation:
Q: A word arranging device rearranges words step-by-step in a particular order according to set of rules. The device stops when the final result is obtained.Input: but going for crept te light sirStep 1: crept but going for te light sirStep 2: crept going light but for te sirStep 3: crept going light but for sir teAnd Step 3 is the last step for this input. Now, find out an appropriate step in the following question following the above rules. Question:Input: more fight cats cough sough acts ideaWhat will be the last step for this input ? 1833 05b5cc771e4d2b4197774fff8
5b5cc771e4d2b4197774fff8- 1cough fight sough acts cats idea moretrue
- 2cough fight sough acts cats more ideafalse
- 3cough more fight sough acts idea catsfalse
- 4none of thesefalse
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Answer : 1. "cough fight sough acts cats idea more"
Explanation :
Answer: A) cough fight sough acts cats idea more Explanation: Carefully obsrving the given arrangement, we find the following pattern:We observe that,first all the words with the highest number of letters are arranged in the alphabetical order, followed by the words with the second highest number of letters and so on.However, the position of only one word is altered at each step.Input: more fight cats cough sough acts ideaStep1: cough more fight cats sough acts ideaStep2: cough fight more cats sough acts ideaStep3: cough fight sough more cats acts ideaStep4: cough fight sough acts more cats ideaStep5: cough fight sough acts cats more ideaStep6: cough fight sough acts cats idea more Hence, the answer is A
Q: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at ? 1833 05b5cc723e4d2b4197774f686
5b5cc723e4d2b4197774f686- 1Rs. 145false
- 2Rs. 245.1false
- 3Rs. 96true
- 4Rs. 75false
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Answer : 3. "Rs. 96"
Explanation :
Answer: C) Rs. 96 Explanation: Michel earns Rs. 135 by investing Rs. 1620To earn Rs. 8 how much he have to invest...? = (8 x 1620)/135 = Rs. 96
Q: Twenty times a positive integer is less than its square by 96. What is the integer ? 1833 05b5cc6e7e4d2b4197774ed74
5b5cc6e7e4d2b4197774ed74- 142false
- 236false
- 348false
- 424true
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Answer : 4. "24"
Explanation :
Answer: D) 24 Explanation: Let the integer be x. Then, x2 - 20x = 96 (x + 4)(x - 24) = 0 x = 24
Q: Find the next number in the following number series? 410, 409, 413, 404, ? 1832 05b5cc662e4d2b4197774bea6
5b5cc662e4d2b4197774bea6- 1412false
- 2415false
- 3418false
- 4420true
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Answer : 4. "420"
Explanation :
Answer: D) 420 Explanation: The given number series 410, 409, 413, 404, ? , follows a pattern that 410 410 - 13 = 409409 + 22 = 413413 - 33 = 404404 + 42 = 420 Hence, the next number in the given series is 420.
Q: A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger ? 1832 05b5cc6e5e4d2b4197774ed29
5b5cc6e5e4d2b4197774ed29- 125 secfalse
- 240 sectrue
- 338 secfalse
- 432 secfalse
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Answer : 2. "40 sec"
Explanation :
Answer: B) 40 sec Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.= 36 x 5/18 = 10 m/sec. Distance to be covered = 260 + 140 = 400 m. Time taken = 400/10 = 40 sec.
Q: Simplify the following and find the value of ? 13 of ? + 47 of 114 of 539 = 31% of 2000 1832 05b5cc6ace4d2b4197774d091
5b5cc6ace4d2b4197774d091- 11134true
- 21237false
- 31187false
- 41249false
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Answer : 1. "1134"
Explanation :
Answer: A) 1134 Explanation: 13 x ? + 47 x 114 x 539 = 31100 x 2000? = 378 x 3? = 1134