GATE Practice Question and Answer
8Q: In order to maximize his gain, a shopping mall owner decides to reduce the price of electronics goods by 20% and as a result of this, the sales of electronics increase by 40%. If, as a result of these changes, he is able to increase his weekly collection by Rs. 1,05,000, find by what value did the gross collection increase per day? 5205 05b5cc6aee4d2b4197774d188
5b5cc6aee4d2b4197774d188- 1Rs. 14400false
- 2Rs. 14600false
- 3Rs. 14800false
- 4Rs. 15000true
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Answer : 4. "Rs. 15000"
Explanation :
Answer: D) Rs. 15000 Explanation: It won't requires that much solving. Here given the increase in weekly collection by Rs. 1,05,000 That is this increase denotes for all 7 days. => Gross Collection increase per day = Rs. 1,05,0007 = Rs. 15,000 Hence, the gross collection increase per day = Rs. 15,000.
Q: Frugal : Parsimonious :: ? 5164 05b5cc75ce4d2b4197774fc6b
5b5cc75ce4d2b4197774fc6b- 1joy : ecstasytrue
- 2rich : poorfalse
- 3love : hatefalse
- 4poor : miseryfalse
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Answer : 1. "joy : ecstasy"
Explanation :
Answer: A) joy : ecstasy Explanation: Frugal and parsimonious are synonyms of each other and bear the meaning 'being stingy' or 'sparing'. Similarly, joy and ecstasy are related to happiness.
Q: I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries. 5148 05b5cc731e4d2b4197774f7f6
5b5cc731e4d2b4197774f7f6- 1suppressing, conflicttrue
- 2expressing, hostilityfalse
- 3stifling, temperancefalse
- 4rousing, wrathfalse
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Answer : 1. "suppressing, conflict"
Explanation :
Answer: A) suppressing, conflict Explanation:
Q: The product of a number and its multiplicative inverse is 5113 05b5cc64de4d2b4197774bc70
5b5cc64de4d2b4197774bc70- 11true
- 20false
- 3-1false
- 4Infinityfalse
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Answer : 1. "1"
Explanation :
Answer: A) 1 Explanation: The mutiplicative inverse of a number is nothing but a reciprocal of a number. Now, the product of a number and its multiplicative inverse is always equal to 1. For example : Let the number be 15 Multiplicative inverse of 15 = 1/15 The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.
Q: Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ? 5072 05b5cc73de4d2b4197774f952
5b5cc73de4d2b4197774f952- 124.315 minutesfalse
- 226.166 minutestrue
- 322.154 minutesfalse
- 424 minutesfalse
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Answer : 2. "26.166 minutes"
Explanation :
Answer: B) 26.166 minutes Explanation: Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120 For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120 So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120 So remaining tank = 13/120 Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.
Q: The Indian to beat the computers in mathematical wizardry is 5036 05b5cc6a2e4d2b4197774cb66
5b5cc6a2e4d2b4197774cb66- 1Shakuntala Devitrue
- 2Raja Ramannafalse
- 3Rina Panigrahifalse
- 4Ramanujamfalse
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Answer : 1. "Shakuntala Devi"
Explanation :
Answer: A) Shakuntala Devi Explanation:
Q: Solve the equation 122x+1 = 1 ? 4999 05b5cc6f4e4d2b4197774efd7
5b5cc6f4e4d2b4197774efd7- 1-1/2true
- 21/2false
- 31false
- 4-1false
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Answer : 1. "-1/2"
Explanation :
Answer: A) -1/2 Explanation: Rewrite equation as 122x+1 = 120 Leads to 2x + 1 = 0 Solve for x : x = -1/2
Q: The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ? 4960 05b5cc709e4d2b4197774f294
5b5cc709e4d2b4197774f294- 1Rs. 5500false
- 2Rs. 6000true
- 3Rs. 6200false
- 4Rs. 6350false
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Answer : 2. "Rs. 6000"
Explanation :
Answer: B) Rs. 6000 Explanation: The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?Ratio of increase of wages = 22:25Ratio of decrease of labourers = 15:11Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275Final bill = Rs. 5000For 275 ratio wages = Rs. 5000For 1 ratio wages = 5000/275For 330 ratio wages = 5000/275 x 330 = Rs. 6000