M. Prakash Academy Entrance Examination 2015 （2015 m·普拉卡什学院入学考试）.pdfVIP

AD 1 Paper Type: AD M. Prakash Academy Entrance Examination 2015 Standard VIII 19th April 2015. Time: 10.00 am to 12.30 pm Total marks: 200 Student’s Name: Receipt Number: Mathematics Q1. Virat runs twice as fast as he walks. He travels from his house to school by walking some distance and by running some distance. On Monday his walking time is twice his running time and reaches the school in 30 minutes. On Tuesday his running time is twice his walking time. Find the time in minutes he takes to reach the school on Tuesday. 1 Q2. The fraction 35 can be written in the form 35 = 2 + where x,y 16 16 1 x + y 2 are natural numbers. Find (x + y) . Q3. Let n = 10025 − 25. Let S denote the sum of the digits of n. Find the smallest natural number k such that S + k is a perfect square. Q4. If 1.236 × 1015 − 5.23 × 1014 = a.bc × 10k where a,b,c are digits from 1 to 9 and k is a natural number. Find (a + b + c + k). Q5. Two adults have their birthday on the same day. On a particular birthday the product of their ages is 770. Find the sum of their ages on that birthday. Q6. Mohit bought a number of balls. He was required to pay 5% tax on his purchase. If he did not have to pay the tax he could have bought 3 more balls in the total amount he had spent. How many balls did Mohit buy? Q7