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Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.  \na. 108 b.96 c. 72 d. 36  \n2. LCM of two numbers is 138. But their GCD is 23. The numbers are in a ratio 1:6 . Which is the largest number amongst the two?  \na. 46 b. 138 c. 69 d. 23  \n3. At what time between 7 o'clock and 8 o'clock, will the hands of a clock be together?  \na. 33(5/12) minutes past 7 o’ clock b. 38(2/11) minutes past 7 o’ clock  \nc. 35(7/11) minutes past 8 o’ clock d. 32(1/11) minutes before 8 o’ clock  \n4. Jaggu set an alarm on his clock for Monday 11 am. He set his clock correctly on Sunday 1 am. He was unaware that the clock gains 20 min every 24 hours. When his alarm went off what was the actual time?  \na. 28 minutes 20 seconds before 10 am b. 28 minutes 20 seconds past 11 am  \nc. 31 minutes 40 seconds past 11 am d. 31 minutes 40 seconds past 10 am  \n5. Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi?  \na.50% b. 200% c. 60% d. 100%  \n6. If A and B work together, they will complete a job in 7.5 days. However, ifA works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?  \na. 20 days b. 40 days c. 30 days d. 24 days  \n7. If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?  \na. 75 b. 65 c. 15 d. 45  \n8. The greatest number of four digits which is divisible by 15, 25, 40, 75 is  \na. 600 b. 9000 c. 9600 d. 9400  \n9. A car travelling with 5/7th ofits actual speed covers 42km in 1hr. 40mins. 48 secs. Find the actual speed of the car.  \na. 17(6/7) km/hr b. 35 km/hr c. 25 km/hr d. 30 km/hr  \n10. Rohit covers one-fourth of the total distance at 20 km/hr, one-fourth at 10 km/h and rest of his journey at 80 km/h. Find Rohit’s average speed for the whole distance?  \na. 22.85 km/hr b. 25.15 km/hr c. 50 km/hr d. 40 km/hr  \n11. Raj got a new chair for 35% discount. Had Raj got no discount, Raj would have had to pay $  \n224 more. How much did Raj pay for the chair?  \na. $ 416 b. $ 640 c. $ 208 d. $ 224  \n12. Gurpreet went to a shop and bought a sofa. She got a 20% discount on it. Had she gotten 25% discount she would have saved $ 1000 more. How much did she pay for the sofa?  \na. $ 5000 b. $ 10,000 c. $ 20,000 d. $ 25000  \n13. The ratio of the current ages ofAjay and Vijay is 7:4 . The ratio between Ajay’s age 6 years ago and Vijay’s age 6 years from now is 1:1 . Find the ratio between Ajay’sage 12 years hence and Vijay’s age 12 years ago.  \na. 12:1 b. 10:1 c. 1:1 d. None of these  \n14. If the ratio of the ages of Shweta and Veena was 5:6 six years ago and it will become 10:11 in  \n4 years from now, then find the present age of Veena.  \na. 16 b. 18 c. 10 d. 12  \n15. If sin a= P and tan a= Q, find the value of 1/P2-1/Q2 ?  \na. 0 b. 1 c. 2 d. -1  \n16. The least common multiple of two numbers is 168 and highest common factor of them is 12. If the difference between the numbers is 60, what is the sum of the numbers?  \na. 108 b. 96 c. 122 d. 144  \n17. A’s salary is 50% more than B’s. How much percent is B’s salary less than A’s?  \na. 33(1/4)% b. 33(1/3)% c. 33(1/2)% d. 33%  \n18. Two numbers are less than a third number by 30% and 37% respectively. How much percent is the second number less than the first?  \na. 7% b. 10% c. 4% d. 3%  \n19. A man goes to Mumbai from Pune at a speed of 4 km/hr and returns to Pune at speed of 6km/hr. What is his average speed of the ent","cbCaicokq9Lhg5Z3","https://ap.wps.com/l/cbCaicokq9Lhg5Z3","pdf",506441,11,"English","# SECTION-A\n## MATHEMATICS QUESTIONS","[{\"question\":\"What type of questions are included in this sample paper?\",\"answer\":\"It contains multiple-choice mathematics questions (MCQs) in Section-A.\"},{\"question\":\"Does the document include an answer key?\",\"answer\":\"Yes, it is labeled as an entrance test sample paper with an answer key.\"},{\"question\":\"What topics are covered in the mathematics section?\",\"answer\":\"The questions span GCD/LCM and divisibility, clocks and time, speed–distance, ratios and ages, percentages/discounts, and related quantitative word problems.\"}]","AMITY International Foundation Studies Sample Paper - Answer Key | PDF",28]