Page 35 - GMAT 2017b_Neatb

Quantitative Reasoning Test 3

50. A man can finish a work in 6 days, a woman in 10 days 56. Three years ago, X’s age was double of Y’s. Seven
and a child in 12 days. The man starts the work and years hence, the sum of their united ages will be 83
works for 1/3rd of a day, then the woman works for years. The age of X today is
1/3rd of a day and finally the boy works for remaining (A) 47 years
1/3rd of a day. This cycle is repeated till work finishes. (B) 35 years
Who was working when the work finished? ( C) 45 years
(A) Man (D) 24 years
(B) Woman
( C) Child 57. The average age of the mother and her 6 children is 12
(D) None years which is reduced by 5 years if the age of the
mother is excluded. How old is the mother?
51. A man can do a job in 5 hours. After 2 hr 20 minutes, the (A) 42 years
man stops working. He is replaced by a woman to (B) 40 years
complete the job. She does the remainder of the work in ( C) 48 years
1 hr 40 minutes. If the woman works alone, how much (D) 50 years
faster will she be than the man?
(A) 1 hr 25 mins 58. The ages of two persons differ by 20 years. If 5 years
(B) 1 hr 55 mins ago, the older one be 5 times as old as the younger one,
( C) 2 hours then their present ages, in years, are
(D) 1 hr 17 mins (A) 25, 5
(B) 30, 10
52. Five engineers A, B, C, D and E can complete a process ( C) 35, 15
in 8 hours, assuming that every engineer works with (D) 50, 30
same efficiency. They started working at 10.00a.m. If
after 4.00 p.m., one engineer is removed from the group 59. If Ali is 1/3rd the age of his father Musa now, and
every hour, what is the time when they will finish the was 1/4th the age of his father 5 years ago, then how
work? old will his father Musa be 5 years from now?
(A) 6.00 p.m. (A) 20 years
(B) 7.00 p.m. (B) 45 years
( C) 4.00 p.m. ( C) 40 years
(D) 8.00 p.m. (D) 50 years

53. If four boys consume x calories every y days, six girls 60. Fifteen year hence, a man will be four times as old as
y he was fifteen years ago. His present age is
consume z calories every days. How many calories
2 (A) 25 years
will 10 girls and 10 boys consume in 12 days? (B) 20 years
(A) 3x + 4z ( C) 30 years
10 (D) 45 years
(B) (3x + 4z)
y
1 61. Father is 5 years older than mother and mother’s age
( C) (30x + 4z)
y now is thrice the age of the daughter. The daughter is
(D) y (3x + 4z) now 10 years old. What was father’s age when the
daughter was born?
54. The present ages of three persons are in the proportion (A) 20 years
of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. (B) 15 years
Find their present ages. ( C) 25 years
(A) 20, 35, 45 (D) 30 years
(B) 8, 20, 28
( C) 16, 28, 36 62. A Father told his son, “I was as old as you are at
(D) None of these present at the time of your birth,” if the father is 38
years old now, then what was the son’s age five years
55. The average age of a class is 15.8 years. The average back?
age of the boys in the class is 16.4 years and that of the (A) 14 years
girls is 15.4 years. What is the ratio of boys to girls in the (B) 19 years
class? ( C) 38 years
(A) 1 : 2 (D) 33 years
(B) 3 : 4
( C) 2 : 3
(D) None of these 25