A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left

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Question
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Options
A. 29
B. 37
C. 42
D. 54

Correct Answer

42

Explanation

After 10 days : 150 men had food for 35 days.

Suppose 125 men had food for x days.

Now, Less men, More days (Indirect Proportion)

$?$ 125 : 150 :: 35 : x $?$ 125 x x = 150 x 35

$? x = \frac{150 � 35}{125} = 42$

1.
Shankara buys a watch for Rs. 1,950 in cash and sells it for Rs. 2,200 at a credit of 1 year. If the rate of interest is 10% per annum, he _____ :
Options
A. gains Rs. 55
B. gains Rs. 50
C. loses Rs. 30
D. gains Rs. 30

8.
If two parallel lines are intersected by a transversal, then the bisectors of the two pairs of interior angles enclose a:
Options
A. Trapezium
B. Rectangle
C. Square
D. circle

10.
The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?
Options
A. 147 sq. cm
B. 210 sq. cm
C. 154 sq. cm
D. 77 sq. cm

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