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20th June 2015, 10:34 AM
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| Re: CUSAT Old Question Papers
Cochin University of Science and Technology Common Admission Test (CAT) Question paper for Mathematics contains questions from following topics: • Sets, Relations and Functions • Complex Numbers and Quadratic Equations • Matrices and Determinants • Permutations and Combinations • Mathematical Induction • Sequences and Series • Limit, Continuity and Differentiability • Differential Equations • Three Dimensional Geometry • Vector Algebra • Statistics and Probability • Trigonometry • Mathematical Reasoning Ques-1) The total number of digits used in numbering the pages of a book having 366 pages is 732 990 1098 1305 Ans-) 2 Ques-2) In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ? 2 3 4 5 Ans-) 2 Ques-3)At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ? 60 65 90 None of these Ans-) 1 Ques-4)Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ? 23 years 25 years 33 years 35 years Ans-) 1 Ques-5)Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay ? 1/3 3/11 12/13 5/8 Ans-) 2 Ques-6)In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ? Only 20% of the total members own three cars each. 48% of the total members own only one car each. 60% of the total members own at least two cars each. 80% of the total members own at least one car. None of these Ans-) 2 Ques-7)When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ? 7 years 10 years 14 years 19 years Ans-) 2 Ques-8)A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ? 10 12 14 16 Ans-) 3 Ques-9)Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ? 32 years, 23 years 32 years, 29 years 35 years, 29 years 35 years, 33 years Ans-) 1 Ques-10)In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ? 6 12 18 24 Ans-) 2 CUSAT CAT Maths paper     For more paper here is attachment: |