# CAT Question Bank (Quant) - Gaurav Sharma - Set 1

• Q78) Sum of two numbers is 949 and their lcm is 2628. Find their HCF

• Q79) A number when doubled or tripled, the number of factors go up by 60. The number is divisible by 9 but not by 8. How many factors does it have?

• Q80) If two squares are chosen at random on a chessboard, what is the probability that they have a side in common?

• Q81) Find the Probability that a randomly chosen three digit number has exactly three factors

• Q82) How many One One functions can be formed from a set of English alphabets to set of prime numbers less than 100 ?

• Q83) A point is selected at random inside a circle.Find probability that the point is closer to center of circle than its circumference

• Q84) Three close friends have their birthdays in a same week but on different days. What is the probability that two of them will have their birthdays on weekdays and one of them has it on weekend?

• Q85) P, Q, R and S are planning to write the MET (Management Entrance Test). Their respective probabilities of passing are 1/7, 1/6, 4/21, and 2/9. What is the probability that P passes the exam given that R does not?

• Q86) Find sum of 22 terms of series 1^2 , ( 1^2 + 2^2 ) , ( 1^2 + 2^2 + 3^2 ) ......

• Q87) If the letters of the word REGULATIONS be arranged at random then find the probability that there will be exactly four letters between R and E

• Q88) A, B, C and D are participating in a table-tennis tournament which ends with only one winner. Their respective probabilities of winning are 1/8, 1/4, 1/6, and 2/9. What is the probability that C wins the tournament given that A doesn’t?

• Q89) P, Q, R and S are planning to write the MET (Management Entrance Test). Their respective probabilities of passing are 1/7, 1/6, 4/21, and 2/9. What is the probability that at least one among P and S passes the test?

• Q90) A, B, C and D are participating in a table-tennis tournament which ends with only one winner. Their respective probabilities of winning are 1/8, 1/4, 1/6, and 2/9. What is the probability that none of the A, B, C or D wins the tournament?

• Q91) At the beginning of a party, each person present shook hands with all other people present and there were in all 28 handshakes. In the midst of the party, 2 persons left due to an emergency. Now, the number of males and females present in the party was equal. At the end, each female shook hands only with every female present and each male shook hands only with every male present. What is the total number of handshakes that took place at the party?

• Q92)

• Q93) The midpoints of the adjacent sides of a triangle are joined. The midpoints of the adjacent sides of the resultant triangles are also joined. The ratio of the area of the central small triangle to the original triangle is:
a) 1 : 4
b) 1 : 8
c) 1 : 12
d) 1 : 16
e) 1 : 24

• Q94) In a convex octagon,two diagonals are drawn at random.The probability that the diagonals intersect inside the octagon is ?

• Q95) What is the number of distinct terms in the expansion of (a + b + c)^20?
(1) 231
(2) 253
(3) 242
(4) 210
(5) 228

61

61

46

63

22

47

61

62