# CMAT Model Set – 7 Quantitative Ability

26. What is nth term of arithmetic series 3+7+11+15+19+….?

• a) 4n
• b) 2n +1
• c) 4n – 1
• d) 3n

27. How many digits are used in writing the page numbers of the book from 1 to 500?

• a) 1390
• b) 1392
• c) 1395
• d) 1399

28. If 50100= k.10050 , what is the value of k?

• a) 250
• b) 2550
• c) 5050
• d) 10050

29. Three containers contain alcohol to water in the ratios 3:5, 1:3 and 1:1 respectively. If the solutions of the three containers are mixed in the volume ratio of 1:2:3, then what is the ratio of alcohol to water in the final solution?

• a) 5:9
• b) 6:7
• c) 12:19
• d) 19:29

30. A thief has stolen a car from the point A at 8 AM and drives it away at 50 km/hr. The theft was discovered at 10 am and the owner starts chasing the thief at 10 am at the rate of 70 km/hr. At what time the owner will catch the thief?

• a) 2 pm
• b) 2:30 pm
• c) 3 pm
• d) 5 pm

31. Two train travel in opposite direction; one at 30 km/hr. and the other at 42 km/hr. A man sitting in the slower train passes the faster train in 6s. What is the length of the faster train?

• a) 120 m
• b) 126 m
• c) 140 m
• d) 118 m

32. A alone can do a work in 25 days. B is 60 % more efficient than A & C is 50 % more efficient than B. All three of them working together will do the same work in how many days?

• a) 3 days
• b) 5 days
• c) 7 days
• d) 8 days

33. The ratio between Rohit’s and Vivek’s age at present is 5:3. Vivek is 8 years younger than Rohit. The ratio of Rohit’s age to Vivek’s age after 5 years will be :

• a) 21 : 17
• b) 19 : 12
• c) 25 : 17
• d) None of these

34. Find the slope of the line that is perpendicular to y= 2x+5 .

• a) -2
• b) -1/2
• c) 2
• d) ½

35. If the angles of a triangle are in the ratio 2:3:4, the greatest angle is

• a) 80
• b) 90
• c) 100
• d) 120

36. The arithmetic mean of x and y is 10 and their geometric mean is 8. Find the numbers.

• a) 15,5
• b) 14,6
• c) 16,4
• d) 10,10

37. A basket has 6 apples, 4 oranges, 2 bananas and 3 mangoes, if two fruits are picked randomly, what is the probability that both are apples?

• a) 1/6
• b) 1/3
• c) 2/15
• d) 1/7

38. Without stoppage, a train travels a distance of 120 km in 2 hours. and with stoppage, it covers the same distance in 3 hrs. On an average, how many minutes per hour does the train stop during the journey?

• a) 12 minutes
• b) 15 minutes
• c) 18 minutes
• d) 20 minutes

39. Two successive discounts of 20% and 15% is equivalent to single discount of

• a) 36%
• b) 35%
• c) 32%
• d) 30%

40. 1/2 and 1/4 quantities of alcohol are there in two similar glasses. They are filled with water to make the glass full. What is the ratio of water to alcohol in the new mixture?

• a) 3:5
• b) 5:3
• c) 4:4
• d) 3:2

41. What is the diagonal of a rectangle with perimeter and area, 28m and 48m2 respectively?

• a) 144 m
• b) 12 m
• c) 10 m
• d) 5 m

42. Find the marks obtained by two students in an examination such that the marks secured by one of them were 10 more than the other and his marks was 60% of the sum of their marks.

• a) 33, 43
• b) 21, 31
• c) 30, 20
• d) 42, 52

43. Find out the price at which Rahul buys the suitcase if he bought a suitcase with 15% discount on the labelled price and he sold the suitcase with 20% profit on the labelled price for Rs.2880?

• a) Rs.2040
• b) Rs.2400
• c) Rs.2604
• d) Rs.2640

44. If two dice are thrown simultaneously then the probability that the sum is neither 6 nor 8?

• a) 5/18
• b) 13/18
• c) 7/18
• d) 11/18

45. There is a rectangular garden having dimension 20m × 30m. There is a jogging track inside the garden along its perimeter. The width of the track is uniform and it is equal to 2m. Find the total area of the jogging track?

• a) 104 m2
• b) 108 m2
• c) 136 m2
• d) 156 m2

46. If 32 a + b = 16 a + 3 b , what is the value of a?

• a) b
• b) 2b
• c) 3b
• d) b+2

47. If all the rearrangements of the word AMAZON are considered, what is the  probability that Mwill feature between the 2As?

• a) 1/3
• b) 1/15
• c) 2/5
• d) 3/8

48. 2a + 5b = 103. How many pairs of positive integer values can a, b take such that a > b?

• a) 7
• b) 9
• c) 14
• d) 15

49. A geometric mean is always ………… arithmetic mean of any two numbers greater than 1.

• a) greater than
• b) smaller than
• c) equal to
• d) greater or smaller but not equal to

50. Which of the following statements have to be true?

i. No year can have 5 Sundays in the month of May and 5 Thursdays in the month of June.
ii. If Feb 14th of a certain year is a Friday, May 14th of the same year cannot be a Thursday
iii. If a year has 53 Sundays, it can have 5 Mondays in the month of May.

• a) ii only
• b) iii only
• c) i and iii only
• d) none