Q.1 Lipika reads a book for 1 ¾ hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?
A) 16
B) 17
C) 18
D) 19
Ans. D
13/4 * 6/1
13/2 * 3/1 = 39/2
Or 19
Q.2 Suman studies for 5 2/3 hours daily. She devotes 4 2/5 hours of her time for Science and Mathematics. How much time does she devote for other subjects?
A) 1 13/15
B) 2 13/15
C) 1 12/15
D) 2 12/15
Ans. B
Total time of Suman’s study =5 2/3 hr = 17/3 hr.
Time devoted by her for Science and Mathematics = 2 4/5 = 14/5 hr
Thus, time devoted by her for other subjects =
17/3 – 14/5 hr
17 * 5 / 15 – 14 * 3/ 15
= 43/15 hr = 2 13/15 hr
Q.3 A can complete a work in 20 days & B in 30 days. A worked alone for 4 days & then B completed the remaining work along with C in 18 days. In how many days can C working alone complete the work ?
A) 68 days
B) 90 days
C) 12 days
D) 72 days
Ans. B
Work done by A = 4/20 = 1/5
Therefore remaining work = 1-1/5 = 4/5
Let C working alone can do work in x days
Thus, 18/30 + 18/x = 4/5
Or 18(x+30) * 5 =4*30x
90x + 2700 = 120 x
30x = 2700
Or x=90 days
Q.4 In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food ?
A) 25 days
B) 20 days
C) 15 days
D) 10 days
Ans. D
Let the number of days be X
Then as per the question:-
1000*(30-10) = (1000+1000)*X
1000*20 = 2000*x
X= 20000/2000
X=10
Q.5 If 3 men & 4 boys complete a work in 7 days & 2 men & 3 boys do the same work in 10 days. In how many days will 3 men & 8 boys complete the same work ?
A) 5 days
B) 6 days
C) 7 days
D) 8 days
Ans. A
3 men & 4 boys complete a work in 7 days
2 men & 3 boys complete a work in 10 days
Therefore, 3 men + 4 boys / 2 men + 3 boys = 10 / 7
(Since there is inverse proportional in men & days)
21 men + 28 days = 20 men + 30 boys
1 man = 2 boys
3 men + boys = 6 boys + 4 boys
= 10 boys
3 men + 8 boys = 6 boys + 8 boys
= 14 boys
Boys days
10 7
14 x
Or 10 / 14 = x / 7
X = 5 days
