# CMAT Model Set 6 – Quantitative Ability

26. 10 cats caught 10 rats in 10 seconds. How many cats are required to catch 100 rats in 100 seconds?

• a.100
• b.10
• c.20
• d.50

27. A two-digit number is such that the product of the digits is 24. When 45 is added to the number, the digits interchange their places. Find the number.

• a. 38
• b.64
• c.74
• d.83

28. Two identical bottles A and B of sweet drinks contain sugar such that 30% of sugar in A is equal to 40% sugar in b. The ratio of sugar in the two bottles is

• a.4 : 3
• b.3 : 4
• c.12 : 1
• d.1 : 12

29. Find the area of an equilateral triangle of perimeter 36 cms

• a.41 c m2
• b.36 c m2
• c.36 √3cm2
• d.18 √3cm2

30. KP and PK can do a piece of work in 20 days and 50 days respectively. They both started the work together and PK left after 5 days. In how many days will KP finish the remaining work?

• a.10
• b.13
• c.12
• d.14

31. The sum of the present age of the father and his daughter is 42 years. 7 years later, the father will be 3 times old than the daughter. The present age of the father is

• a. 32
• b. 28
• c. 35
• d. 33

32. What number must be added to 6, 16, and 8 to get an average of 13?

• a. 22
• b. 25
• c.20
• d. 18

33. What is the ratio of 12 minutes to 1 hour?

• a.2/3
• b.¾
• c. 1/5
• d. ¼

34. A man wants to reach a window that is 40 feet above the ground. The distance from the foot of the ladder to the wall is 9 feet. How long should the ladder be?

• a. 9 feet
• b. 81 feet
• c. 41 feet
• d. 49 feet

35. There are eight mango trees in a straight line. The distance between each mango tree with other is 3 meters. What is the distance between the first tree and the eighth tree?

• a. 24 m
• b.27 m
• c. 30 m
• d. 21 m

36. 4 men & 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

• a. 35 days
• b.40 days
• c. 30 days
• d. 25 days

37. A student is ranked 13th from right and 8th from left. How many students are there in total?

• a. 18
• b. 19
• c. 20
• d. 21

38. A father is 30 years older than his son. He will be three times as old as his son after 5 years. What is the father’s present age?

• a. 35
• b. 45
• c. 40
• d. 30

39. 40. 5x+5−x=25 1/25, solve

• a.4
• b. ± 2
• c.±3
• d.5

40. A two digit number is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is

• a. 23
• b. 32
• c. 27
• d. 72

41. Three years ago the average age of A and B was 18 years. If C joins them today, the average becomes 22 years. How old is C now?

• a. 27
• b. 24
• c. 30
• d. 28

42. A square garden has fourteen posts along each side at equal intervals. Find how many posts are there on all four sides.

• a. 56
• b. 44
• c. 52
• d. 60

43. The ratio of daily wages of two workers is 4 : 3 and one gets daily Rs 9 more than the other, what are their daily wages?

• a.Rs 80 and Rs 60
• b.Rs 60 and Rs 45
• c.Rs 36 and Rs 27
• d.Rs 32 and Rs 24

44. A hawker purchased oranges at the rate of 4 oranges per rupee, but he sells at the rate of 5 oranges per rupee. His loss is:

• a. 25%
• b.50%
• c.15%
• d. 20%

45. If A : B = 3 : 4, C : B = 5 : 4, C : D = 10 : 9, then A : B : C : D is

• a. 8 : 6 : 9 : 10
• b.8 : 6 : 10 : 9
• c.6 : 8 : 10 : 9
• d. 6 : 8 : 9 : 10

46. A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?

• a. 155 sq.m
• b.19.25 sq.m
• c.144 sq.m
• d.38.5 sq.m

47. 42 oranges are distributed among some boys and girls. If each boy gets 3, then each girl gets 6. But if each boy gets 6 and each girl gets 3, it needs 6 more. The number of girls is

• a. 10
• b. 8
• c. 6
• d. 4

48. A mobile phone is sold at Rs 20,700 after 10% discount with 15% VAT. Find the amount of VAT

• a.2200
• b.2300
• c.2500
• d. Rs 2700

49. If 30% of a number is 12.6, find the number?

• a. 45
• b. 8
• c. 40
• d. 42

50. A coin is placed on a plain paper. How many coins of the same size can be placed around it so that each of the coins touches its adjacent ones ?

• a. 4
• b. 5
• c. 6
• d. 7