GATE Practice Question and Answer
8Q: If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ? 1714 05b5cc75ce4d2b4197774fc48
5b5cc75ce4d2b4197774fc48- 124%false
- 229%false
- 334%false
- 425%true
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Answer : 4. "25%"
Explanation :
Answer: D) 25% Explanation: Here, k = 7 and l = 28Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.
Q: The price of pulses has increased by 25%. The percentage of reduction that a family should effect in the use of pulses so as not to increase the expenditure on this account is ? 1251 05b5cc75ce4d2b4197774fc3e
5b5cc75ce4d2b4197774fc3e- 116%false
- 220%true
- 384%false
- 472%false
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Answer : 2. "20%"
Explanation :
Answer: B) 20% Explanation: Reduction in consumption= P100+P X 100%= 25100+25 X 100%= 20%
Q: Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ? 1355 05b5cc75ce4d2b4197774fc43
5b5cc75ce4d2b4197774fc43- 192.8%true
- 284.23%false
- 387.14%false
- 494.1%false
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Answer : 1. "92.8%"
Explanation :
Answer: A) 92.8% Explanation: Here, x = 40 and y = 30;Therefore second number= [[100+y100+x] x 100 ]% of first number= [[100+y100+x] x 100 ]% of first numberSecond number = 92.8% of the first number.
Q: A number is increased by 20% and then decreased by 20%, the final value of the number is ? 1450 05b5cc75ce4d2b4197774fc39
5b5cc75ce4d2b4197774fc39- 1increase by 2%false
- 2decrease by 3%false
- 3decrease by 4%true
- 4increase by 5%false
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Answer : 3. "decrease by 4%"
Explanation :
Answer: C) decrease by 4% Explanation: Here, x = 20 and y = - 20Therefore, the net % change in value=x + y + xy100 %= 20 + -20 + 20 × -20100% or - 4% Since the sign is negative, there is a decrease in value by 4%.
Q: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8,748, its purchase price was ? 2941 05b5cc75ce4d2b4197774fc2f
5b5cc75ce4d2b4197774fc2f- 1Rs.14,000false
- 2Rs.12,000true
- 3Rs. 12,800false
- 4Rs. 15,000false
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Answer : 2. "Rs.12,000"
Explanation :
Answer: B) Rs.12,000 Explanation: We have P = 8748, R = -10 and n = 3Therefore, the purchase price of the machine= P1+R100n= 87481-101003= 8748 x (100/90) x (100/90) x (100/90)= 12,000. Therefore, the purchase price of the machine was Rs. 12,000.
Q: How many days are there in k weeks k days ? 7876 05b5cc75ce4d2b4197774fc2a
5b5cc75ce4d2b4197774fc2a- 18+k daysfalse
- 27+1k daysfalse
- 38k daystrue
- 47/k daysfalse
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Answer : 3. "8k days"
Explanation :
Answer: C) 8k days Explanation: As we know that a week has 7 days, k weeks k days = (7k + k) days = 8k days.
Q: The calendar for the year 2007 will be the same for the year ? 1367 05b5cc75ce4d2b4197774fc25
5b5cc75ce4d2b4197774fc25- 12014false
- 22019false
- 32021false
- 42018true
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Answer : 4. "2018"
Explanation :
Answer: D) 2018 Explanation: Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day. Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017Odd day : 1 2 1 1 1 2 1 1 1 2 1 Sum = 14 odd days => 0 odd days.Calendar for the year 2018 will be the same as for the year 2007.
Q: On 24th Nov, 2007 Thursday falls. What day of the week was it on 10th Nov, 2006 ? 2077 05b5cc75ce4d2b4197774fc20
5b5cc75ce4d2b4197774fc20- 1Wednesdaytrue
- 2Tuesdayfalse
- 3Fridayfalse
- 4Thursdayfalse
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Answer : 1. "Wednesday"
Explanation :
Answer: A) Wednesday Explanation: The year 2006 is an ordinary year. So, it has 1 odd day.So, the day on 24th Nov, 2007 will be 1 day beyond the day on 24th Nov, 2006.But, 24th Nov, 2007 is Thursday. 24 - 10 = 14 days. Therefore, 2 weeks ago it is same day. Thus, 10th Nov, 2006 is one day before 10th Nov, 2007 i.e. it is Wednesday.