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Like this PageCLICK this button to recommend this page to Google. GRE Practice TestGRE Practice: Problem Solving GRE Practice Test 3Powered by GreGuide Version 2.2.1 Copyrights 2007, GreGuide.com Question: 1 By what number should each of 15, 24, 51 and 87 be lessened so that the remainders are in proportion? Indicate the correct option.
Correct Answer: C Explanation: Let the number be x 15-x:24-x=51-x:87-x (15-x)(87-x) = (24-x)(51-x) 1305-15x-87x+x^{2}=1224-51x-24x+x^{2} 1305-1224=-75x+102x 81=27x x=3 The number is 3 Question: 2 Sam lent $4000 to Pam for two years at 5% simple interest. After two years, he lent the complete amount to Ann for three years at 7%. What was the interest returned by Ann? Indicate the correct option.
Correct Answer: B Explanation: Simple interest SI is given by SI =P*R*T/100, where P, R and T are principle, rate and time. Amount returned by Pam = 4000+ SI = 4000 + 4000*5*2/100 = 4000 + 400 = 4400 Interest returned by Ann after three years = 4400*7*3/100 = 924 Option B is correct. Question: 3 How many terms are required at the least to add up to at least 100 in the series 3, 5, 7, 9 ...? Indicate the correct value.
Correct Answer: D Explanation: The series is an AP with the first term a = 3 and common difference 5-3=2 Let n terms as up to at least 100 Sum of n terms Sn = n/2[2a+(n-1)d] 100<=n/2[2*3+(n-1)*2] 100<=n/2[6+2n-2] 100<=n/2[4+2n] 100<=n(2+n) n=10 At least 10 terms add up to at least 100 in the given series. Question: 4 Annie and Simmi run a race of 2km. Annie beats Simmi by 30m. Simmi reaches the finish line 6 seconds after Annie does. How long did Annie take to complete the distance? Indicate the correct option.
Correct Answer: D Explanation: Time taken by Simmi to cover 30 m = 6 sec Speed of Simmi in m/s=30/6 = 5m/s Time taken by Simmi to cover 2 km = Distance*speed = 2000*5 = 10000 sec Time taken by Annie to cover 2 km = 10000 - 6 seconds = 9994 seconds Option D is correct. Question: 5 A dishonest shopkeeper mixes water in acid to earn a profit. He sells acid worth $5.4/litre at $4.2/litre. If he initially had 14 litres of acid then how many litres of water did he add to it? Indicate the correct option.
Correct Answer: D Explanation: Let the quantity of water added be x litre. Total quantity = (14+x) litre As per the conditions, we have (14+x)*4.2=14*5.4 58.8+4.2x=75.6 4.2x=75.6-58.8 4.2x=16.8 x=4 Option D is correct. Like this PageCLICK this button to recommend this page to Google. Spread The Word / Bookmark this content Digg this Post to del.icio.us Post to Furl Post to Netscape.com
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